TSTP Solution File: NUM495+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM495+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 : n025.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 08:12:31 EDT 2024

% Result   : Theorem 1.14s 0.89s
% Output   : Refutation 1.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   97 (  15 unt;   0 def)
%            Number of atoms       :  515 ( 135 equ)
%            Maximal formula atoms :   22 (   5 avg)
%            Number of connectives :  620 ( 202   ~; 219   |; 174   &)
%                                         (   5 <=>;  20  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   6 prp; 0-2 aty)
%            Number of functors    :   16 (  16 usr;   9 con; 0-2 aty)
%            Number of variables   :  137 (  87   !;  50   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2340,plain,
    $false,
    inference(avatar_sat_refutation,[],[f556,f562,f748,f2333,f2334,f2339]) ).

fof(f2339,plain,
    ~ spl15_18,
    inference(avatar_contradiction_clause,[],[f2338]) ).

fof(f2338,plain,
    ( $false
    | ~ spl15_18 ),
    inference(subsumption_resolution,[],[f2337,f258]) ).

fof(f258,plain,
    isPrime0(xp),
    inference(cnf_transformation,[],[f158]) ).

fof(f158,plain,
    ( doDivides0(xp,sdtasdt0(xn,xm))
    & sdtasdt0(xn,xm) = sdtasdt0(xp,sK10)
    & aNaturalNumber0(sK10)
    & isPrime0(xp)
    & ! [X1] :
        ( xp = X1
        | sz10 = X1
        | ( ~ doDivides0(X1,xp)
          & ! [X2] :
              ( sdtasdt0(X1,X2) != xp
              | ~ aNaturalNumber0(X2) ) )
        | ~ aNaturalNumber0(X1) )
    & sz10 != xp
    & sz00 != xp ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK10])],[f121,f157]) ).

fof(f157,plain,
    ( ? [X0] :
        ( sdtasdt0(xn,xm) = sdtasdt0(xp,X0)
        & aNaturalNumber0(X0) )
   => ( sdtasdt0(xn,xm) = sdtasdt0(xp,sK10)
      & aNaturalNumber0(sK10) ) ),
    introduced(choice_axiom,[]) ).

fof(f121,plain,
    ( doDivides0(xp,sdtasdt0(xn,xm))
    & ? [X0] :
        ( sdtasdt0(xn,xm) = sdtasdt0(xp,X0)
        & aNaturalNumber0(X0) )
    & isPrime0(xp)
    & ! [X1] :
        ( xp = X1
        | sz10 = X1
        | ( ~ doDivides0(X1,xp)
          & ! [X2] :
              ( sdtasdt0(X1,X2) != xp
              | ~ aNaturalNumber0(X2) ) )
        | ~ aNaturalNumber0(X1) )
    & sz10 != xp
    & sz00 != xp ),
    inference(flattening,[],[f120]) ).

fof(f120,plain,
    ( doDivides0(xp,sdtasdt0(xn,xm))
    & ? [X0] :
        ( sdtasdt0(xn,xm) = sdtasdt0(xp,X0)
        & aNaturalNumber0(X0) )
    & isPrime0(xp)
    & ! [X1] :
        ( xp = X1
        | sz10 = X1
        | ( ~ doDivides0(X1,xp)
          & ! [X2] :
              ( sdtasdt0(X1,X2) != xp
              | ~ aNaturalNumber0(X2) ) )
        | ~ aNaturalNumber0(X1) )
    & sz10 != xp
    & sz00 != xp ),
    inference(ennf_transformation,[],[f52]) ).

fof(f52,plain,
    ( doDivides0(xp,sdtasdt0(xn,xm))
    & ? [X0] :
        ( sdtasdt0(xn,xm) = sdtasdt0(xp,X0)
        & aNaturalNumber0(X0) )
    & isPrime0(xp)
    & ! [X1] :
        ( ( ( doDivides0(X1,xp)
            | ? [X2] :
                ( sdtasdt0(X1,X2) = xp
                & aNaturalNumber0(X2) ) )
          & aNaturalNumber0(X1) )
       => ( xp = X1
          | sz10 = X1 ) )
    & sz10 != xp
    & sz00 != xp ),
    inference(rectify,[],[f41]) ).

fof(f41,axiom,
    ( doDivides0(xp,sdtasdt0(xn,xm))
    & ? [X0] :
        ( sdtasdt0(xn,xm) = sdtasdt0(xp,X0)
        & aNaturalNumber0(X0) )
    & isPrime0(xp)
    & ! [X0] :
        ( ( ( doDivides0(X0,xp)
            | ? [X1] :
                ( sdtasdt0(X0,X1) = xp
                & aNaturalNumber0(X1) ) )
          & aNaturalNumber0(X0) )
       => ( xp = X0
          | sz10 = X0 ) )
    & sz10 != xp
    & sz00 != xp ),
    file('/export/starexec/sandbox/tmp/tmp.lKwBovN3eH/Vampire---4.8_5266',m__1860) ).

fof(f2337,plain,
    ( ~ isPrime0(xp)
    | ~ spl15_18 ),
    inference(resolution,[],[f2291,f247]) ).

fof(f247,plain,
    ! [X0] :
      ( ~ sP0(X0)
      | ~ isPrime0(X0) ),
    inference(cnf_transformation,[],[f153]) ).

fof(f153,plain,
    ! [X0] :
      ( ( ~ isPrime0(X0)
        & ( ( sK7(X0) != X0
            & sz10 != sK7(X0)
            & doDivides0(sK7(X0),X0)
            & sdtasdt0(sK7(X0),sK8(X0)) = X0
            & aNaturalNumber0(sK8(X0))
            & aNaturalNumber0(sK7(X0)) )
          | sz10 = X0
          | sz00 = X0 ) )
      | ~ sP0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f150,f152,f151]) ).

fof(f151,plain,
    ! [X0] :
      ( ? [X1] :
          ( X0 != X1
          & sz10 != X1
          & doDivides0(X1,X0)
          & ? [X2] :
              ( sdtasdt0(X1,X2) = X0
              & aNaturalNumber0(X2) )
          & aNaturalNumber0(X1) )
     => ( sK7(X0) != X0
        & sz10 != sK7(X0)
        & doDivides0(sK7(X0),X0)
        & ? [X2] :
            ( sdtasdt0(sK7(X0),X2) = X0
            & aNaturalNumber0(X2) )
        & aNaturalNumber0(sK7(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f152,plain,
    ! [X0] :
      ( ? [X2] :
          ( sdtasdt0(sK7(X0),X2) = X0
          & aNaturalNumber0(X2) )
     => ( sdtasdt0(sK7(X0),sK8(X0)) = X0
        & aNaturalNumber0(sK8(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f150,plain,
    ! [X0] :
      ( ( ~ isPrime0(X0)
        & ( ? [X1] :
              ( X0 != X1
              & sz10 != X1
              & doDivides0(X1,X0)
              & ? [X2] :
                  ( sdtasdt0(X1,X2) = X0
                  & aNaturalNumber0(X2) )
              & aNaturalNumber0(X1) )
          | sz10 = X0
          | sz00 = X0 ) )
      | ~ sP0(X0) ),
    inference(rectify,[],[f149]) ).

fof(f149,plain,
    ! [X2] :
      ( ( ~ isPrime0(X2)
        & ( ? [X4] :
              ( X2 != X4
              & sz10 != X4
              & doDivides0(X4,X2)
              & ? [X5] :
                  ( sdtasdt0(X4,X5) = X2
                  & aNaturalNumber0(X5) )
              & aNaturalNumber0(X4) )
          | sz10 = X2
          | sz00 = X2 ) )
      | ~ sP0(X2) ),
    inference(nnf_transformation,[],[f123]) ).

fof(f123,plain,
    ! [X2] :
      ( ( ~ isPrime0(X2)
        & ( ? [X4] :
              ( X2 != X4
              & sz10 != X4
              & doDivides0(X4,X2)
              & ? [X5] :
                  ( sdtasdt0(X4,X5) = X2
                  & aNaturalNumber0(X5) )
              & aNaturalNumber0(X4) )
          | sz10 = X2
          | sz00 = X2 ) )
      | ~ sP0(X2) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f2291,plain,
    ( sP0(xp)
    | ~ spl15_18 ),
    inference(avatar_component_clause,[],[f518]) ).

fof(f518,plain,
    ( spl15_18
  <=> sP0(xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_18])]) ).

fof(f2334,plain,
    ( spl15_18
    | spl15_171
    | ~ spl15_23
    | ~ spl15_32 ),
    inference(avatar_split_clause,[],[f2296,f746,f545,f2274,f518]) ).

fof(f2274,plain,
    ( spl15_171
  <=> sP1(xr,xp) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_171])]) ).

fof(f545,plain,
    ( spl15_23
  <=> aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_23])]) ).

fof(f746,plain,
    ( spl15_32
  <=> ! [X2,X0,X1] :
        ( sP1(X0,X1)
        | ~ aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X2),X1))
        | sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(X0,X2),X1)
        | ~ sdtlseqdt0(sdtpldt0(sdtpldt0(X0,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | sP0(X1)
        | ~ doDivides0(X1,sdtasdt0(X0,X2))
        | doDivides0(X1,X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_32])]) ).

fof(f2296,plain,
    ( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp))
    | sP1(xr,xp)
    | sP0(xp)
    | ~ spl15_32 ),
    inference(subsumption_resolution,[],[f2295,f282]) ).

fof(f282,plain,
    ~ doDivides0(xp,xm),
    inference(cnf_transformation,[],[f122]) ).

fof(f122,plain,
    ( ~ doDivides0(xp,xm)
    & ! [X0] :
        ( xm != sdtasdt0(xp,X0)
        | ~ aNaturalNumber0(X0) )
    & ~ doDivides0(xp,xr)
    & ! [X1] :
        ( xr != sdtasdt0(xp,X1)
        | ~ aNaturalNumber0(X1) ) ),
    inference(ennf_transformation,[],[f53]) ).

fof(f53,plain,
    ~ ( doDivides0(xp,xm)
      | ? [X0] :
          ( xm = sdtasdt0(xp,X0)
          & aNaturalNumber0(X0) )
      | doDivides0(xp,xr)
      | ? [X1] :
          ( xr = sdtasdt0(xp,X1)
          & aNaturalNumber0(X1) ) ),
    inference(rectify,[],[f48]) ).

fof(f48,negated_conjecture,
    ~ ( doDivides0(xp,xm)
      | ? [X0] :
          ( xm = sdtasdt0(xp,X0)
          & aNaturalNumber0(X0) )
      | doDivides0(xp,xr)
      | ? [X0] :
          ( sdtasdt0(xp,X0) = xr
          & aNaturalNumber0(X0) ) ),
    inference(negated_conjecture,[],[f47]) ).

fof(f47,conjecture,
    ( doDivides0(xp,xm)
    | ? [X0] :
        ( xm = sdtasdt0(xp,X0)
        & aNaturalNumber0(X0) )
    | doDivides0(xp,xr)
    | ? [X0] :
        ( sdtasdt0(xp,X0) = xr
        & aNaturalNumber0(X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.lKwBovN3eH/Vampire---4.8_5266',m__) ).

fof(f2295,plain,
    ( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp))
    | sP1(xr,xp)
    | sP0(xp)
    | doDivides0(xp,xm)
    | ~ spl15_32 ),
    inference(subsumption_resolution,[],[f2202,f274]) ).

fof(f274,plain,
    doDivides0(xp,sdtasdt0(xr,xm)),
    inference(cnf_transformation,[],[f164]) ).

fof(f164,plain,
    ( doDivides0(xp,sdtasdt0(xr,xm))
    & sdtasdt0(xr,xm) = sdtasdt0(xp,sK13)
    & aNaturalNumber0(sK13) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f45,f163]) ).

fof(f163,plain,
    ( ? [X0] :
        ( sdtasdt0(xp,X0) = sdtasdt0(xr,xm)
        & aNaturalNumber0(X0) )
   => ( sdtasdt0(xr,xm) = sdtasdt0(xp,sK13)
      & aNaturalNumber0(sK13) ) ),
    introduced(choice_axiom,[]) ).

fof(f45,axiom,
    ( doDivides0(xp,sdtasdt0(xr,xm))
    & ? [X0] :
        ( sdtasdt0(xp,X0) = sdtasdt0(xr,xm)
        & aNaturalNumber0(X0) ) ),
    file('/export/starexec/sandbox/tmp/tmp.lKwBovN3eH/Vampire---4.8_5266',m__1913) ).

fof(f2202,plain,
    ( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp))
    | sP1(xr,xp)
    | sP0(xp)
    | ~ doDivides0(xp,sdtasdt0(xr,xm))
    | doDivides0(xp,xm)
    | ~ spl15_32 ),
    inference(subsumption_resolution,[],[f2201,f237]) ).

fof(f237,plain,
    aNaturalNumber0(xp),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,axiom,
    ( aNaturalNumber0(xp)
    & aNaturalNumber0(xm)
    & aNaturalNumber0(xn) ),
    file('/export/starexec/sandbox/tmp/tmp.lKwBovN3eH/Vampire---4.8_5266',m__1837) ).

fof(f2201,plain,
    ( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp))
    | sP1(xr,xp)
    | ~ aNaturalNumber0(xp)
    | sP0(xp)
    | ~ doDivides0(xp,sdtasdt0(xr,xm))
    | doDivides0(xp,xm)
    | ~ spl15_32 ),
    inference(subsumption_resolution,[],[f2200,f236]) ).

fof(f236,plain,
    aNaturalNumber0(xm),
    inference(cnf_transformation,[],[f39]) ).

fof(f2200,plain,
    ( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp))
    | sP1(xr,xp)
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xp)
    | sP0(xp)
    | ~ doDivides0(xp,sdtasdt0(xr,xm))
    | doDivides0(xp,xm)
    | ~ spl15_32 ),
    inference(subsumption_resolution,[],[f2199,f265]) ).

fof(f265,plain,
    aNaturalNumber0(xr),
    inference(cnf_transformation,[],[f43]) ).

fof(f43,axiom,
    ( xr = sdtmndt0(xn,xp)
    & xn = sdtpldt0(xp,xr)
    & aNaturalNumber0(xr) ),
    file('/export/starexec/sandbox/tmp/tmp.lKwBovN3eH/Vampire---4.8_5266',m__1883) ).

fof(f2199,plain,
    ( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp))
    | sP1(xr,xp)
    | ~ aNaturalNumber0(xr)
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xp)
    | sP0(xp)
    | ~ doDivides0(xp,sdtasdt0(xr,xm))
    | doDivides0(xp,xm)
    | ~ spl15_32 ),
    inference(subsumption_resolution,[],[f2181,f275]) ).

fof(f275,plain,
    sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(xr,xm),xp),
    inference(cnf_transformation,[],[f166]) ).

fof(f166,plain,
    ( sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
    & sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtpldt0(xr,xm),xp),sK14)
    & aNaturalNumber0(sK14)
    & sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(xr,xm),xp) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f46,f165]) ).

fof(f165,plain,
    ( ? [X0] :
        ( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtpldt0(xr,xm),xp),X0)
        & aNaturalNumber0(X0) )
   => ( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtpldt0(xr,xm),xp),sK14)
      & aNaturalNumber0(sK14) ) ),
    introduced(choice_axiom,[]) ).

fof(f46,axiom,
    ( sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp))
    & ? [X0] :
        ( sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(sdtpldt0(xr,xm),xp),X0)
        & aNaturalNumber0(X0) )
    & sdtpldt0(sdtpldt0(xn,xm),xp) != sdtpldt0(sdtpldt0(xr,xm),xp) ),
    file('/export/starexec/sandbox/tmp/tmp.lKwBovN3eH/Vampire---4.8_5266',m__2062) ).

fof(f2181,plain,
    ( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp))
    | sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(xr,xm),xp)
    | sP1(xr,xp)
    | ~ aNaturalNumber0(xr)
    | ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xp)
    | sP0(xp)
    | ~ doDivides0(xp,sdtasdt0(xr,xm))
    | doDivides0(xp,xm)
    | ~ spl15_32 ),
    inference(resolution,[],[f747,f278]) ).

fof(f278,plain,
    sdtlseqdt0(sdtpldt0(sdtpldt0(xr,xm),xp),sdtpldt0(sdtpldt0(xn,xm),xp)),
    inference(cnf_transformation,[],[f166]) ).

fof(f747,plain,
    ( ! [X2,X0,X1] :
        ( ~ sdtlseqdt0(sdtpldt0(sdtpldt0(X0,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
        | ~ aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X2),X1))
        | sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(X0,X2),X1)
        | sP1(X0,X1)
        | ~ aNaturalNumber0(X0)
        | ~ aNaturalNumber0(X2)
        | ~ aNaturalNumber0(X1)
        | sP0(X1)
        | ~ doDivides0(X1,sdtasdt0(X0,X2))
        | doDivides0(X1,X2) )
    | ~ spl15_32 ),
    inference(avatar_component_clause,[],[f746]) ).

fof(f2333,plain,
    ~ spl15_171,
    inference(avatar_contradiction_clause,[],[f2332]) ).

fof(f2332,plain,
    ( $false
    | ~ spl15_171 ),
    inference(subsumption_resolution,[],[f2331,f280]) ).

fof(f280,plain,
    ~ doDivides0(xp,xr),
    inference(cnf_transformation,[],[f122]) ).

fof(f2331,plain,
    ( doDivides0(xp,xr)
    | ~ spl15_171 ),
    inference(resolution,[],[f2275,f240]) ).

fof(f240,plain,
    ! [X0,X1] :
      ( ~ sP1(X0,X1)
      | doDivides0(X1,X0) ),
    inference(cnf_transformation,[],[f148]) ).

fof(f148,plain,
    ! [X0,X1] :
      ( ( doDivides0(X1,X0)
        & sdtasdt0(X1,sK6(X0,X1)) = X0
        & aNaturalNumber0(sK6(X0,X1)) )
      | ~ sP1(X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f146,f147]) ).

fof(f147,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( sdtasdt0(X1,X2) = X0
          & aNaturalNumber0(X2) )
     => ( sdtasdt0(X1,sK6(X0,X1)) = X0
        & aNaturalNumber0(sK6(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f146,plain,
    ! [X0,X1] :
      ( ( doDivides0(X1,X0)
        & ? [X2] :
            ( sdtasdt0(X1,X2) = X0
            & aNaturalNumber0(X2) ) )
      | ~ sP1(X0,X1) ),
    inference(rectify,[],[f145]) ).

fof(f145,plain,
    ! [X0,X2] :
      ( ( doDivides0(X2,X0)
        & ? [X7] :
            ( sdtasdt0(X2,X7) = X0
            & aNaturalNumber0(X7) ) )
      | ~ sP1(X0,X2) ),
    inference(nnf_transformation,[],[f124]) ).

fof(f124,plain,
    ! [X0,X2] :
      ( ( doDivides0(X2,X0)
        & ? [X7] :
            ( sdtasdt0(X2,X7) = X0
            & aNaturalNumber0(X7) ) )
      | ~ sP1(X0,X2) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f2275,plain,
    ( sP1(xr,xp)
    | ~ spl15_171 ),
    inference(avatar_component_clause,[],[f2274]) ).

fof(f748,plain,
    ( ~ spl15_22
    | spl15_32 ),
    inference(avatar_split_clause,[],[f744,f746,f542]) ).

fof(f542,plain,
    ( spl15_22
  <=> aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl15_22])]) ).

fof(f744,plain,
    ! [X2,X0,X1] :
      ( sP1(X0,X1)
      | doDivides0(X1,X2)
      | ~ doDivides0(X1,sdtasdt0(X0,X2))
      | sP0(X1)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X0)
      | ~ sdtlseqdt0(sdtpldt0(sdtpldt0(X0,X2),X1),sdtpldt0(sdtpldt0(xn,xm),xp))
      | sdtpldt0(sdtpldt0(xn,xm),xp) = sdtpldt0(sdtpldt0(X0,X2),X1)
      | ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
      | ~ aNaturalNumber0(sdtpldt0(sdtpldt0(X0,X2),X1)) ),
    inference(resolution,[],[f253,f213]) ).

fof(f213,plain,
    ! [X0,X1] :
      ( iLess0(X0,X1)
      | ~ sdtlseqdt0(X0,X1)
      | X0 = X1
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f99]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( iLess0(X0,X1)
      | ~ sdtlseqdt0(X0,X1)
      | X0 = X1
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f98]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( iLess0(X0,X1)
      | ~ sdtlseqdt0(X0,X1)
      | X0 = X1
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f29,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( sdtlseqdt0(X0,X1)
          & X0 != X1 )
       => iLess0(X0,X1) ) ),
    file('/export/starexec/sandbox/tmp/tmp.lKwBovN3eH/Vampire---4.8_5266',mIH_03) ).

fof(f253,plain,
    ! [X2,X0,X1] :
      ( ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
      | sP1(X0,X2)
      | doDivides0(X2,X1)
      | ~ doDivides0(X2,sdtasdt0(X0,X1))
      | sP0(X2)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f156]) ).

fof(f156,plain,
    ! [X0,X1,X2] :
      ( ( doDivides0(X2,X1)
        & sdtasdt0(X2,sK9(X1,X2)) = X1
        & aNaturalNumber0(sK9(X1,X2)) )
      | sP1(X0,X2)
      | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
      | ( ~ doDivides0(X2,sdtasdt0(X0,X1))
        & ! [X4] :
            ( sdtasdt0(X0,X1) != sdtasdt0(X2,X4)
            | ~ aNaturalNumber0(X4) ) )
      | sP0(X2)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f154,f155]) ).

fof(f155,plain,
    ! [X1,X2] :
      ( ? [X3] :
          ( sdtasdt0(X2,X3) = X1
          & aNaturalNumber0(X3) )
     => ( sdtasdt0(X2,sK9(X1,X2)) = X1
        & aNaturalNumber0(sK9(X1,X2)) ) ),
    introduced(choice_axiom,[]) ).

fof(f154,plain,
    ! [X0,X1,X2] :
      ( ( doDivides0(X2,X1)
        & ? [X3] :
            ( sdtasdt0(X2,X3) = X1
            & aNaturalNumber0(X3) ) )
      | sP1(X0,X2)
      | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
      | ( ~ doDivides0(X2,sdtasdt0(X0,X1))
        & ! [X4] :
            ( sdtasdt0(X0,X1) != sdtasdt0(X2,X4)
            | ~ aNaturalNumber0(X4) ) )
      | sP0(X2)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(rectify,[],[f125]) ).

fof(f125,plain,
    ! [X0,X1,X2] :
      ( ( doDivides0(X2,X1)
        & ? [X6] :
            ( sdtasdt0(X2,X6) = X1
            & aNaturalNumber0(X6) ) )
      | sP1(X0,X2)
      | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
      | ( ~ doDivides0(X2,sdtasdt0(X0,X1))
        & ! [X3] :
            ( sdtasdt0(X0,X1) != sdtasdt0(X2,X3)
            | ~ aNaturalNumber0(X3) ) )
      | sP0(X2)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(definition_folding,[],[f119,f124,f123]) ).

fof(f119,plain,
    ! [X0,X1,X2] :
      ( ( doDivides0(X2,X1)
        & ? [X6] :
            ( sdtasdt0(X2,X6) = X1
            & aNaturalNumber0(X6) ) )
      | ( doDivides0(X2,X0)
        & ? [X7] :
            ( sdtasdt0(X2,X7) = X0
            & aNaturalNumber0(X7) ) )
      | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
      | ( ~ doDivides0(X2,sdtasdt0(X0,X1))
        & ! [X3] :
            ( sdtasdt0(X0,X1) != sdtasdt0(X2,X3)
            | ~ aNaturalNumber0(X3) ) )
      | ( ~ isPrime0(X2)
        & ( ? [X4] :
              ( X2 != X4
              & sz10 != X4
              & doDivides0(X4,X2)
              & ? [X5] :
                  ( sdtasdt0(X4,X5) = X2
                  & aNaturalNumber0(X5) )
              & aNaturalNumber0(X4) )
          | sz10 = X2
          | sz00 = X2 ) )
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f118]) ).

fof(f118,plain,
    ! [X0,X1,X2] :
      ( ( doDivides0(X2,X1)
        & ? [X6] :
            ( sdtasdt0(X2,X6) = X1
            & aNaturalNumber0(X6) ) )
      | ( doDivides0(X2,X0)
        & ? [X7] :
            ( sdtasdt0(X2,X7) = X0
            & aNaturalNumber0(X7) ) )
      | ~ iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
      | ( ~ doDivides0(X2,sdtasdt0(X0,X1))
        & ! [X3] :
            ( sdtasdt0(X0,X1) != sdtasdt0(X2,X3)
            | ~ aNaturalNumber0(X3) ) )
      | ( ~ isPrime0(X2)
        & ( ? [X4] :
              ( X2 != X4
              & sz10 != X4
              & doDivides0(X4,X2)
              & ? [X5] :
                  ( sdtasdt0(X4,X5) = X2
                  & aNaturalNumber0(X5) )
              & aNaturalNumber0(X4) )
          | sz10 = X2
          | sz00 = X2 ) )
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f51]) ).

fof(f51,plain,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( ( doDivides0(X2,sdtasdt0(X0,X1))
            | ? [X3] :
                ( sdtasdt0(X0,X1) = sdtasdt0(X2,X3)
                & aNaturalNumber0(X3) ) )
          & ( isPrime0(X2)
            | ( ! [X4] :
                  ( ( doDivides0(X4,X2)
                    & ? [X5] :
                        ( sdtasdt0(X4,X5) = X2
                        & aNaturalNumber0(X5) )
                    & aNaturalNumber0(X4) )
                 => ( X2 = X4
                    | sz10 = X4 ) )
              & sz10 != X2
              & sz00 != X2 ) ) )
       => ( iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
         => ( ( doDivides0(X2,X1)
              & ? [X6] :
                  ( sdtasdt0(X2,X6) = X1
                  & aNaturalNumber0(X6) ) )
            | ( doDivides0(X2,X0)
              & ? [X7] :
                  ( sdtasdt0(X2,X7) = X0
                  & aNaturalNumber0(X7) ) ) ) ) ) ),
    inference(rectify,[],[f40]) ).

fof(f40,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( ( doDivides0(X2,sdtasdt0(X0,X1))
            | ? [X3] :
                ( sdtasdt0(X0,X1) = sdtasdt0(X2,X3)
                & aNaturalNumber0(X3) ) )
          & ( isPrime0(X2)
            | ( ! [X3] :
                  ( ( doDivides0(X3,X2)
                    & ? [X4] :
                        ( sdtasdt0(X3,X4) = X2
                        & aNaturalNumber0(X4) )
                    & aNaturalNumber0(X3) )
                 => ( X2 = X3
                    | sz10 = X3 ) )
              & sz10 != X2
              & sz00 != X2 ) ) )
       => ( iLess0(sdtpldt0(sdtpldt0(X0,X1),X2),sdtpldt0(sdtpldt0(xn,xm),xp))
         => ( ( doDivides0(X2,X1)
              & ? [X3] :
                  ( sdtasdt0(X2,X3) = X1
                  & aNaturalNumber0(X3) ) )
            | ( doDivides0(X2,X0)
              & ? [X3] :
                  ( sdtasdt0(X2,X3) = X0
                  & aNaturalNumber0(X3) ) ) ) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.lKwBovN3eH/Vampire---4.8_5266',m__1799) ).

fof(f562,plain,
    spl15_23,
    inference(avatar_contradiction_clause,[],[f561]) ).

fof(f561,plain,
    ( $false
    | spl15_23 ),
    inference(subsumption_resolution,[],[f560,f265]) ).

fof(f560,plain,
    ( ~ aNaturalNumber0(xr)
    | spl15_23 ),
    inference(subsumption_resolution,[],[f559,f236]) ).

fof(f559,plain,
    ( ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xr)
    | spl15_23 ),
    inference(resolution,[],[f558,f170]) ).

fof(f170,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtpldt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f55]) ).

fof(f55,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtpldt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f54]) ).

fof(f54,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/sandbox/tmp/tmp.lKwBovN3eH/Vampire---4.8_5266',mSortsB) ).

fof(f558,plain,
    ( ~ aNaturalNumber0(sdtpldt0(xr,xm))
    | spl15_23 ),
    inference(subsumption_resolution,[],[f557,f237]) ).

fof(f557,plain,
    ( ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sdtpldt0(xr,xm))
    | spl15_23 ),
    inference(resolution,[],[f546,f170]) ).

fof(f546,plain,
    ( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xr,xm),xp))
    | spl15_23 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f556,plain,
    spl15_22,
    inference(avatar_contradiction_clause,[],[f555]) ).

fof(f555,plain,
    ( $false
    | spl15_22 ),
    inference(subsumption_resolution,[],[f554,f235]) ).

fof(f235,plain,
    aNaturalNumber0(xn),
    inference(cnf_transformation,[],[f39]) ).

fof(f554,plain,
    ( ~ aNaturalNumber0(xn)
    | spl15_22 ),
    inference(subsumption_resolution,[],[f553,f236]) ).

fof(f553,plain,
    ( ~ aNaturalNumber0(xm)
    | ~ aNaturalNumber0(xn)
    | spl15_22 ),
    inference(resolution,[],[f552,f170]) ).

fof(f552,plain,
    ( ~ aNaturalNumber0(sdtpldt0(xn,xm))
    | spl15_22 ),
    inference(subsumption_resolution,[],[f551,f237]) ).

fof(f551,plain,
    ( ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sdtpldt0(xn,xm))
    | spl15_22 ),
    inference(resolution,[],[f543,f170]) ).

fof(f543,plain,
    ( ~ aNaturalNumber0(sdtpldt0(sdtpldt0(xn,xm),xp))
    | spl15_22 ),
    inference(avatar_component_clause,[],[f542]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : NUM495+3 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.14  % 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
% 0.14/0.34  % Computer : n025.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit   : 300
% 0.14/0.34  % WCLimit    : 300
% 0.14/0.34  % DateTime   : Fri May  3 14:31:53 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_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.lKwBovN3eH/Vampire---4.8_5266
% 0.53/0.73  % (5381)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)
% 0.53/0.73  % (5375)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)
% 0.53/0.73  % (5378)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)
% 0.53/0.73  % (5376)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)
% 0.53/0.73  % (5377)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.53/0.73  % (5379)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)
% 0.53/0.73  % (5380)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)
% 0.53/0.73  % (5382)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)
% 0.53/0.75  % (5378)Instruction limit reached!
% 0.53/0.75  % (5378)------------------------------
% 0.53/0.75  % (5378)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.75  % (5378)Termination reason: Unknown
% 0.53/0.75  % (5378)Termination phase: Saturation
% 0.53/0.75  
% 0.53/0.75  % (5378)Memory used [KB]: 1624
% 0.53/0.75  % (5378)Time elapsed: 0.018 s
% 0.53/0.75  % (5378)Instructions burned: 33 (million)
% 0.53/0.75  % (5378)------------------------------
% 0.53/0.75  % (5378)------------------------------
% 0.58/0.75  % (5379)Instruction limit reached!
% 0.58/0.75  % (5379)------------------------------
% 0.58/0.75  % (5379)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (5379)Termination reason: Unknown
% 0.58/0.75  % (5379)Termination phase: Saturation
% 0.58/0.75  
% 0.58/0.75  % (5379)Memory used [KB]: 1632
% 0.58/0.75  % (5379)Time elapsed: 0.020 s
% 0.58/0.75  % (5379)Instructions burned: 34 (million)
% 0.58/0.75  % (5379)------------------------------
% 0.58/0.75  % (5379)------------------------------
% 0.58/0.75  % (5375)Instruction limit reached!
% 0.58/0.75  % (5375)------------------------------
% 0.58/0.75  % (5375)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (5375)Termination reason: Unknown
% 0.58/0.75  % (5375)Termination phase: Saturation
% 0.58/0.75  
% 0.58/0.75  % (5375)Memory used [KB]: 1376
% 0.58/0.75  % (5375)Time elapsed: 0.021 s
% 0.58/0.75  % (5375)Instructions burned: 34 (million)
% 0.58/0.75  % (5375)------------------------------
% 0.58/0.75  % (5375)------------------------------
% 0.58/0.75  % (5381)Instruction limit reached!
% 0.58/0.75  % (5381)------------------------------
% 0.58/0.75  % (5381)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (5381)Termination reason: Unknown
% 0.58/0.75  % (5381)Termination phase: Saturation
% 0.58/0.75  
% 0.58/0.75  % (5381)Memory used [KB]: 2029
% 0.58/0.75  % (5381)Time elapsed: 0.023 s
% 0.58/0.75  % (5381)Instructions burned: 86 (million)
% 0.58/0.75  % (5381)------------------------------
% 0.58/0.75  % (5381)------------------------------
% 0.58/0.75  % (5383)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  % (5384)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)
% 0.58/0.75  % (5386)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)
% 0.58/0.75  % (5385)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)
% 0.58/0.75  % (5380)Instruction limit reached!
% 0.58/0.75  % (5380)------------------------------
% 0.58/0.75  % (5380)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.58/0.75  % (5380)Termination reason: Unknown
% 0.58/0.75  % (5380)Termination phase: Saturation
% 0.58/0.75  
% 0.58/0.75  % (5380)Memory used [KB]: 1633
% 0.58/0.75  % (5380)Time elapsed: 0.026 s
% 0.58/0.75  % (5380)Instructions burned: 45 (million)
% 0.58/0.75  % (5380)------------------------------
% 0.58/0.75  % (5380)------------------------------
% 0.65/0.75  % (5382)Instruction limit reached!
% 0.65/0.75  % (5382)------------------------------
% 0.65/0.75  % (5382)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.75  % (5382)Termination reason: Unknown
% 0.65/0.75  % (5382)Termination phase: Saturation
% 0.65/0.75  
% 0.65/0.75  % (5382)Memory used [KB]: 1671
% 0.65/0.75  % (5382)Time elapsed: 0.026 s
% 0.65/0.75  % (5382)Instructions burned: 56 (million)
% 0.65/0.75  % (5382)------------------------------
% 0.65/0.75  % (5382)------------------------------
% 0.65/0.76  % (5387)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)
% 0.65/0.76  % (5388)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)
% 0.65/0.76  % (5376)Instruction limit reached!
% 0.65/0.76  % (5376)------------------------------
% 0.65/0.76  % (5376)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.76  % (5376)Termination reason: Unknown
% 0.65/0.76  % (5376)Termination phase: Saturation
% 0.65/0.76  
% 0.65/0.76  % (5376)Memory used [KB]: 1795
% 0.65/0.76  % (5376)Time elapsed: 0.032 s
% 0.65/0.76  % (5376)Instructions burned: 51 (million)
% 0.65/0.76  % (5376)------------------------------
% 0.65/0.76  % (5376)------------------------------
% 0.65/0.76  % (5389)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)
% 0.65/0.77  % (5386)Instruction limit reached!
% 0.65/0.77  % (5386)------------------------------
% 0.65/0.77  % (5386)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.77  % (5386)Termination reason: Unknown
% 0.65/0.77  % (5386)Termination phase: Saturation
% 0.65/0.77  
% 0.65/0.77  % (5386)Memory used [KB]: 1690
% 0.65/0.77  % (5386)Time elapsed: 0.019 s
% 0.65/0.77  % (5386)Instructions burned: 53 (million)
% 0.65/0.77  % (5386)------------------------------
% 0.65/0.77  % (5386)------------------------------
% 0.65/0.77  % (5383)Instruction limit reached!
% 0.65/0.77  % (5383)------------------------------
% 0.65/0.77  % (5383)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.77  % (5383)Termination reason: Unknown
% 0.65/0.77  % (5383)Termination phase: Saturation
% 0.65/0.77  
% 0.65/0.77  % (5383)Memory used [KB]: 1339
% 0.65/0.77  % (5383)Time elapsed: 0.023 s
% 0.65/0.77  % (5383)Instructions burned: 56 (million)
% 0.65/0.77  % (5383)------------------------------
% 0.65/0.77  % (5383)------------------------------
% 0.65/0.77  % (5390)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)
% 0.65/0.77  % (5388)Instruction limit reached!
% 0.65/0.77  % (5388)------------------------------
% 0.65/0.77  % (5388)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.77  % (5388)Termination reason: Unknown
% 0.65/0.77  % (5388)Termination phase: Saturation
% 0.65/0.77  
% 0.65/0.77  % (5388)Memory used [KB]: 1348
% 0.65/0.77  % (5388)Time elapsed: 0.016 s
% 0.65/0.77  % (5388)Instructions burned: 43 (million)
% 0.65/0.77  % (5388)------------------------------
% 0.65/0.77  % (5388)------------------------------
% 0.65/0.77  % (5377)Instruction limit reached!
% 0.65/0.77  % (5377)------------------------------
% 0.65/0.77  % (5377)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.77  % (5377)Termination reason: Unknown
% 0.65/0.77  % (5377)Termination phase: Saturation
% 0.65/0.77  
% 0.65/0.77  % (5377)Memory used [KB]: 1663
% 0.65/0.77  % (5377)Time elapsed: 0.046 s
% 0.65/0.77  % (5377)Instructions burned: 78 (million)
% 0.65/0.77  % (5377)------------------------------
% 0.65/0.77  % (5377)------------------------------
% 0.65/0.78  % (5391)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)
% 0.65/0.78  % (5384)Instruction limit reached!
% 0.65/0.78  % (5384)------------------------------
% 0.65/0.78  % (5384)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.78  % (5384)Termination reason: Unknown
% 0.65/0.78  % (5384)Termination phase: Saturation
% 0.65/0.78  
% 0.65/0.78  % (5384)Memory used [KB]: 1607
% 0.65/0.78  % (5384)Time elapsed: 0.026 s
% 0.65/0.78  % (5384)Instructions burned: 51 (million)
% 0.65/0.78  % (5384)------------------------------
% 0.65/0.78  % (5384)------------------------------
% 0.65/0.78  % (5392)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)
% 0.65/0.78  % (5393)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)
% 0.65/0.78  % (5394)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)
% 0.65/0.80  % (5394)Instruction limit reached!
% 0.65/0.80  % (5394)------------------------------
% 0.65/0.80  % (5394)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.65/0.80  % (5394)Termination reason: Unknown
% 0.65/0.80  % (5394)Termination phase: Saturation
% 0.65/0.80  
% 0.65/0.80  % (5394)Memory used [KB]: 1355
% 0.65/0.80  % (5394)Time elapsed: 0.040 s
% 0.65/0.80  % (5394)Instructions burned: 32 (million)
% 0.65/0.80  % (5394)------------------------------
% 0.65/0.80  % (5394)------------------------------
% 0.65/0.80  % (5395)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)
% 0.90/0.80  % (5393)Instruction limit reached!
% 0.90/0.80  % (5393)------------------------------
% 0.90/0.80  % (5393)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.90/0.80  % (5393)Termination reason: Unknown
% 0.90/0.80  % (5393)Termination phase: Saturation
% 0.90/0.80  
% 0.90/0.80  % (5393)Memory used [KB]: 1378
% 0.90/0.80  % (5393)Time elapsed: 0.026 s
% 0.90/0.80  % (5393)Instructions burned: 64 (million)
% 0.90/0.80  % (5393)------------------------------
% 0.90/0.80  % (5393)------------------------------
% 0.90/0.81  % (5396)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)
% 0.90/0.81  % (5390)Instruction limit reached!
% 0.90/0.81  % (5390)------------------------------
% 0.90/0.81  % (5390)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.90/0.81  % (5390)Termination reason: Unknown
% 0.90/0.81  % (5390)Termination phase: Saturation
% 0.90/0.81  
% 0.90/0.81  % (5390)Memory used [KB]: 2197
% 0.90/0.81  % (5390)Time elapsed: 0.060 s
% 0.90/0.81  % (5390)Instructions burned: 117 (million)
% 0.90/0.81  % (5390)------------------------------
% 0.90/0.81  % (5390)------------------------------
% 0.90/0.81  % (5397)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)
% 0.90/0.83  % (5397)Instruction limit reached!
% 0.90/0.83  % (5397)------------------------------
% 0.90/0.83  % (5397)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.90/0.83  % (5397)Termination reason: Unknown
% 0.90/0.83  % (5397)Termination phase: Saturation
% 0.90/0.83  
% 0.90/0.83  % (5397)Memory used [KB]: 1802
% 0.90/0.83  % (5397)Time elapsed: 0.015 s
% 0.90/0.83  % (5397)Instructions burned: 55 (million)
% 0.90/0.83  % (5397)------------------------------
% 0.90/0.83  % (5397)------------------------------
% 0.90/0.83  % (5392)Instruction limit reached!
% 0.90/0.83  % (5392)------------------------------
% 0.90/0.83  % (5392)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.90/0.83  % (5392)Termination reason: Unknown
% 0.90/0.83  % (5392)Termination phase: Saturation
% 0.90/0.83  
% 0.90/0.83  % (5398)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)
% 0.90/0.83  % (5392)Memory used [KB]: 1954
% 0.90/0.83  % (5392)Time elapsed: 0.075 s
% 0.90/0.83  % (5392)Instructions burned: 93 (million)
% 0.90/0.83  % (5392)------------------------------
% 0.90/0.83  % (5392)------------------------------
% 0.90/0.83  % (5399)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)
% 0.90/0.84  % (5396)Instruction limit reached!
% 0.90/0.84  % (5396)------------------------------
% 0.90/0.84  % (5396)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.90/0.84  % (5396)Termination reason: Unknown
% 0.90/0.84  % (5396)Termination phase: Saturation
% 0.90/0.84  
% 0.90/0.84  % (5396)Memory used [KB]: 2065
% 0.90/0.84  % (5396)Time elapsed: 0.050 s
% 0.90/0.84  % (5396)Instructions burned: 55 (million)
% 0.90/0.84  % (5396)------------------------------
% 0.90/0.84  % (5396)------------------------------
% 0.90/0.84  % (5391)Instruction limit reached!
% 0.90/0.84  % (5391)------------------------------
% 0.90/0.84  % (5391)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.90/0.84  % (5391)Termination reason: Unknown
% 0.90/0.84  % (5391)Termination phase: Saturation
% 0.90/0.84  
% 0.90/0.84  % (5391)Memory used [KB]: 2315
% 0.90/0.84  % (5391)Time elapsed: 0.084 s
% 0.90/0.84  % (5391)Instructions burned: 146 (million)
% 0.90/0.84  % (5391)------------------------------
% 0.90/0.84  % (5391)------------------------------
% 0.90/0.84  % (5401)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)
% 0.90/0.84  % (5400)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)
% 1.14/0.84  % (5398)Instruction limit reached!
% 1.14/0.84  % (5398)------------------------------
% 1.14/0.84  % (5398)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.14/0.84  % (5398)Termination reason: Unknown
% 1.14/0.84  % (5398)Termination phase: Saturation
% 1.14/0.84  
% 1.14/0.84  % (5398)Memory used [KB]: 1963
% 1.14/0.84  % (5398)Time elapsed: 0.016 s
% 1.14/0.84  % (5398)Instructions burned: 46 (million)
% 1.14/0.84  % (5398)------------------------------
% 1.14/0.84  % (5398)------------------------------
% 1.14/0.85  % (5402)dis+1010_12107:524288_anc=none:drc=encompass:sil=2000:bsd=on:rp=on:nwc=10.0:alpa=random:i=109:kws=precedence:awrs=decay:awrsf=2:nm=16:ins=3:rawr=on:s2a=on:s2at=4.5:acc=on:flr=on_0 on Vampire---4 for (2995ds/109Mi)
% 1.14/0.85  % (5385)Instruction limit reached!
% 1.14/0.85  % (5385)------------------------------
% 1.14/0.85  % (5385)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.14/0.85  % (5385)Termination reason: Unknown
% 1.14/0.85  % (5385)Termination phase: Saturation
% 1.14/0.85  
% 1.14/0.85  % (5385)Memory used [KB]: 2405
% 1.14/0.85  % (5385)Time elapsed: 0.105 s
% 1.14/0.85  % (5385)Instructions burned: 211 (million)
% 1.14/0.85  % (5385)------------------------------
% 1.14/0.85  % (5385)------------------------------
% 1.14/0.86  % (5400)Instruction limit reached!
% 1.14/0.86  % (5400)------------------------------
% 1.14/0.86  % (5400)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.14/0.86  % (5400)Termination reason: Unknown
% 1.14/0.86  % (5400)Termination phase: Saturation
% 1.14/0.86  
% 1.14/0.86  % (5400)Memory used [KB]: 1273
% 1.14/0.86  % (5400)Time elapsed: 0.019 s
% 1.14/0.86  % (5400)Instructions burned: 36 (million)
% 1.14/0.86  % (5400)------------------------------
% 1.14/0.86  % (5400)------------------------------
% 1.14/0.86  % (5403)lrs+1002_1:16_sil=2000:sp=occurrence:sos=on:i=161:aac=none:bd=off:ss=included:sd=5:st=2.5:sup=off_0 on Vampire---4 for (2994ds/161Mi)
% 1.14/0.86  % (5401)Instruction limit reached!
% 1.14/0.86  % (5401)------------------------------
% 1.14/0.86  % (5401)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.14/0.86  % (5401)Termination reason: Unknown
% 1.14/0.86  % (5401)Termination phase: Saturation
% 1.14/0.86  
% 1.14/0.86  % (5401)Memory used [KB]: 2334
% 1.14/0.86  % (5401)Time elapsed: 0.022 s
% 1.14/0.86  % (5401)Instructions burned: 90 (million)
% 1.14/0.86  % (5401)------------------------------
% 1.14/0.86  % (5401)------------------------------
% 1.14/0.86  % (5404)lrs-1002_2:9_anc=none:sil=2000:plsqc=1:plsq=on:avsql=on:plsqr=2859761,1048576:erd=off:rp=on:nwc=21.7107:newcnf=on:avsq=on:i=69:aac=none:avsqr=6317,1048576:ep=RS:fsr=off:rawr=on:afp=50:afq=2.133940627822616:sac=on_0 on Vampire---4 for (2994ds/69Mi)
% 1.14/0.86  % (5405)lrs+1010_1:512_sil=8000:tgt=ground:spb=units:gs=on:lwlo=on:nicw=on:gsem=on:st=1.5:i=40:nm=21:ss=included:nwc=5.3:afp=4000:afq=1.38:ins=1:bs=unit_only:awrs=converge:awrsf=10:bce=on_0 on Vampire---4 for (2994ds/40Mi)
% 1.14/0.87  % (5389)Instruction limit reached!
% 1.14/0.87  % (5389)------------------------------
% 1.14/0.87  % (5389)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.14/0.87  % (5389)Termination reason: Unknown
% 1.14/0.87  % (5389)Termination phase: Saturation
% 1.14/0.87  
% 1.14/0.87  % (5389)Memory used [KB]: 2407
% 1.14/0.87  % (5389)Time elapsed: 0.112 s
% 1.14/0.87  % (5389)Instructions burned: 243 (million)
% 1.14/0.87  % (5389)------------------------------
% 1.14/0.87  % (5389)------------------------------
% 1.14/0.87  % (5405)Instruction limit reached!
% 1.14/0.87  % (5405)------------------------------
% 1.14/0.87  % (5405)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.14/0.87  % (5405)Termination reason: Unknown
% 1.14/0.87  % (5405)Termination phase: Saturation
% 1.14/0.87  
% 1.14/0.87  % (5405)Memory used [KB]: 1687
% 1.14/0.87  % (5405)Time elapsed: 0.014 s
% 1.14/0.87  % (5405)Instructions burned: 41 (million)
% 1.14/0.87  % (5405)------------------------------
% 1.14/0.87  % (5405)------------------------------
% 1.14/0.88  % (5406)ott+1011_1:3_drc=off:sil=4000:tgt=ground:fde=unused:plsq=on:sp=unary_first:fd=preordered:nwc=10.0:i=360:ins=1:rawr=on:bd=preordered_0 on Vampire---4 for (2994ds/360Mi)
% 1.14/0.88  % (5407)dis+10_1:4_to=lpo:sil=2000:sos=on:spb=goal:rp=on:sac=on:newcnf=on:i=161:ss=axioms:aac=none_0 on Vampire---4 for (2994ds/161Mi)
% 1.14/0.88  % (5402)Instruction limit reached!
% 1.14/0.88  % (5402)------------------------------
% 1.14/0.88  % (5402)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.14/0.88  % (5402)Termination reason: Unknown
% 1.14/0.88  % (5402)Termination phase: Saturation
% 1.14/0.88  
% 1.14/0.88  % (5402)Memory used [KB]: 2436
% 1.14/0.88  % (5402)Time elapsed: 0.033 s
% 1.14/0.88  % (5402)Instructions burned: 112 (million)
% 1.14/0.88  % (5402)------------------------------
% 1.14/0.88  % (5402)------------------------------
% 1.14/0.88  % (5408)lrs+1011_1:20_sil=4000:tgt=ground:i=80:sd=1:bd=off:nm=32:av=off:ss=axioms:lsd=60_0 on Vampire---4 for (2994ds/80Mi)
% 1.14/0.89  % (5404)Instruction limit reached!
% 1.14/0.89  % (5404)------------------------------
% 1.14/0.89  % (5404)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.14/0.89  % (5404)Termination reason: Unknown
% 1.14/0.89  % (5404)Termination phase: Saturation
% 1.14/0.89  
% 1.14/0.89  % (5404)Memory used [KB]: 2251
% 1.14/0.89  % (5404)Time elapsed: 0.028 s
% 1.14/0.89  % (5404)Instructions burned: 69 (million)
% 1.14/0.89  % (5404)------------------------------
% 1.14/0.89  % (5404)------------------------------
% 1.14/0.89  % (5409)lrs+11_1:2_slsqr=1,2:sil=2000:sp=const_frequency:kmz=on:newcnf=on:slsq=on:i=37:s2at=1.5:awrs=converge:nm=2:uhcvi=on:ss=axioms:sgt=20:afp=10000:fs=off:fsr=off:bd=off:s2agt=5:fd=off:add=off:erd=off:foolp=on:nwc=10.0:rp=on_0 on Vampire---4 for (2994ds/37Mi)
% 1.14/0.89  % (5403)First to succeed.
% 1.14/0.89  % (5403)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-5373"
% 1.14/0.89  % (5403)Refutation found. Thanks to Tanya!
% 1.14/0.89  % SZS status Theorem for Vampire---4
% 1.14/0.89  % SZS output start Proof for Vampire---4
% See solution above
% 1.14/0.89  % (5403)------------------------------
% 1.14/0.89  % (5403)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.14/0.89  % (5403)Termination reason: Refutation
% 1.14/0.89  
% 1.14/0.89  % (5403)Memory used [KB]: 1888
% 1.14/0.89  % (5403)Time elapsed: 0.035 s
% 1.14/0.89  % (5403)Instructions burned: 106 (million)
% 1.14/0.89  % (5373)Success in time 0.534 s
% 1.14/0.89  % Vampire---4.8 exiting
%------------------------------------------------------------------------------