TSTP Solution File: NUM483+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM483+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 : n006.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 08:12:24 EDT 2024

% Result   : Theorem 1.36s 0.89s
% Output   : Refutation 1.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   22
% Syntax   : Number of formulae    :  124 (  12 unt;   0 def)
%            Number of atoms       :  638 ( 223 equ)
%            Maximal formula atoms :   24 (   5 avg)
%            Number of connectives :  804 ( 290   ~; 307   |; 179   &)
%                                         (   6 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   15 (  13 usr;   7 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :  140 (  97   !;  43   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3276,plain,
    $false,
    inference(avatar_sat_refutation,[],[f290,f801,f2397,f2829,f3217,f3226,f3275]) ).

fof(f3275,plain,
    ( spl11_3
    | ~ spl11_55
    | ~ spl11_57 ),
    inference(avatar_contradiction_clause,[],[f3274]) ).

fof(f3274,plain,
    ( $false
    | spl11_3
    | ~ spl11_55
    | ~ spl11_57 ),
    inference(subsumption_resolution,[],[f3273,f2819]) ).

fof(f2819,plain,
    ( iLess0(sK4,xk)
    | ~ spl11_55 ),
    inference(avatar_component_clause,[],[f2818]) ).

fof(f2818,plain,
    ( spl11_55
  <=> iLess0(sK4,xk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_55])]) ).

fof(f3273,plain,
    ( ~ iLess0(sK4,xk)
    | spl11_3
    | ~ spl11_57 ),
    inference(subsumption_resolution,[],[f3272,f164]) ).

fof(f164,plain,
    aNaturalNumber0(sK4),
    inference(cnf_transformation,[],[f128]) ).

fof(f128,plain,
    ( ~ isPrime0(xk)
    & xk != sK4
    & sz10 != sK4
    & doDivides0(sK4,xk)
    & xk = sdtasdt0(sK4,sK5)
    & aNaturalNumber0(sK5)
    & aNaturalNumber0(sK4) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK4,sK5])],[f51,f127,f126]) ).

fof(f126,plain,
    ( ? [X0] :
        ( xk != X0
        & sz10 != X0
        & doDivides0(X0,xk)
        & ? [X1] :
            ( sdtasdt0(X0,X1) = xk
            & aNaturalNumber0(X1) )
        & aNaturalNumber0(X0) )
   => ( xk != sK4
      & sz10 != sK4
      & doDivides0(sK4,xk)
      & ? [X1] :
          ( xk = sdtasdt0(sK4,X1)
          & aNaturalNumber0(X1) )
      & aNaturalNumber0(sK4) ) ),
    introduced(choice_axiom,[]) ).

fof(f127,plain,
    ( ? [X1] :
        ( xk = sdtasdt0(sK4,X1)
        & aNaturalNumber0(X1) )
   => ( xk = sdtasdt0(sK4,sK5)
      & aNaturalNumber0(sK5) ) ),
    introduced(choice_axiom,[]) ).

fof(f51,plain,
    ( ~ isPrime0(xk)
    & ? [X0] :
        ( xk != X0
        & sz10 != X0
        & doDivides0(X0,xk)
        & ? [X1] :
            ( sdtasdt0(X0,X1) = xk
            & aNaturalNumber0(X1) )
        & aNaturalNumber0(X0) ) ),
    inference(flattening,[],[f50]) ).

fof(f50,plain,
    ( ~ isPrime0(xk)
    & ? [X0] :
        ( xk != X0
        & sz10 != X0
        & doDivides0(X0,xk)
        & ? [X1] :
            ( sdtasdt0(X0,X1) = xk
            & aNaturalNumber0(X1) )
        & aNaturalNumber0(X0) ) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f41,axiom,
    ~ ( isPrime0(xk)
      | ! [X0] :
          ( ( doDivides0(X0,xk)
            & ? [X1] :
                ( sdtasdt0(X0,X1) = xk
                & aNaturalNumber0(X1) )
            & aNaturalNumber0(X0) )
         => ( xk = X0
            | sz10 = X0 ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.gR4WgI2g12/Vampire---4.8_319',m__1725) ).

fof(f3272,plain,
    ( ~ aNaturalNumber0(sK4)
    | ~ iLess0(sK4,xk)
    | spl11_3
    | ~ spl11_57 ),
    inference(subsumption_resolution,[],[f3271,f295]) ).

fof(f295,plain,
    ( sz00 != sK4
    | spl11_3 ),
    inference(avatar_component_clause,[],[f294]) ).

fof(f294,plain,
    ( spl11_3
  <=> sz00 = sK4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_3])]) ).

fof(f3271,plain,
    ( sz00 = sK4
    | ~ aNaturalNumber0(sK4)
    | ~ iLess0(sK4,xk)
    | ~ spl11_57 ),
    inference(subsumption_resolution,[],[f3267,f168]) ).

fof(f168,plain,
    sz10 != sK4,
    inference(cnf_transformation,[],[f128]) ).

fof(f3267,plain,
    ( sz10 = sK4
    | sz00 = sK4
    | ~ aNaturalNumber0(sK4)
    | ~ iLess0(sK4,xk)
    | ~ spl11_57 ),
    inference(resolution,[],[f2828,f504]) ).

fof(f504,plain,
    ! [X0] :
      ( ~ sP1(sK3(X0))
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0)
      | ~ iLess0(X0,xk) ),
    inference(subsumption_resolution,[],[f503,f157]) ).

fof(f157,plain,
    ! [X0] :
      ( sz00 != sK3(X0)
      | ~ iLess0(X0,xk)
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f125,plain,
    ! [X0] :
      ( ( isPrime0(sK3(X0))
        & ! [X2] :
            ( sK3(X0) = X2
            | sz10 = X2
            | ( ~ doDivides0(X2,sK3(X0))
              & ! [X3] :
                  ( sdtasdt0(X2,X3) != sK3(X0)
                  | ~ aNaturalNumber0(X3) ) )
            | ~ aNaturalNumber0(X2) )
        & sz10 != sK3(X0)
        & sz00 != sK3(X0)
        & doDivides0(sK3(X0),X0)
        & sP0(X0,sK3(X0))
        & aNaturalNumber0(sK3(X0)) )
      | ~ iLess0(X0,xk)
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f117,f124]) ).

fof(f124,plain,
    ! [X0] :
      ( ? [X1] :
          ( isPrime0(X1)
          & ! [X2] :
              ( X1 = X2
              | sz10 = X2
              | ( ~ doDivides0(X2,X1)
                & ! [X3] :
                    ( sdtasdt0(X2,X3) != X1
                    | ~ aNaturalNumber0(X3) ) )
              | ~ aNaturalNumber0(X2) )
          & sz10 != X1
          & sz00 != X1
          & doDivides0(X1,X0)
          & sP0(X0,X1)
          & aNaturalNumber0(X1) )
     => ( isPrime0(sK3(X0))
        & ! [X2] :
            ( sK3(X0) = X2
            | sz10 = X2
            | ( ~ doDivides0(X2,sK3(X0))
              & ! [X3] :
                  ( sdtasdt0(X2,X3) != sK3(X0)
                  | ~ aNaturalNumber0(X3) ) )
            | ~ aNaturalNumber0(X2) )
        & sz10 != sK3(X0)
        & sz00 != sK3(X0)
        & doDivides0(sK3(X0),X0)
        & sP0(X0,sK3(X0))
        & aNaturalNumber0(sK3(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f117,plain,
    ! [X0] :
      ( ? [X1] :
          ( isPrime0(X1)
          & ! [X2] :
              ( X1 = X2
              | sz10 = X2
              | ( ~ doDivides0(X2,X1)
                & ! [X3] :
                    ( sdtasdt0(X2,X3) != X1
                    | ~ aNaturalNumber0(X3) ) )
              | ~ aNaturalNumber0(X2) )
          & sz10 != X1
          & sz00 != X1
          & doDivides0(X1,X0)
          & sP0(X0,X1)
          & aNaturalNumber0(X1) )
      | ~ iLess0(X0,xk)
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(definition_folding,[],[f49,f116]) ).

fof(f116,plain,
    ! [X0,X1] :
      ( ? [X4] :
          ( sdtasdt0(X1,X4) = X0
          & aNaturalNumber0(X4) )
      | ~ sP0(X0,X1) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).

fof(f49,plain,
    ! [X0] :
      ( ? [X1] :
          ( isPrime0(X1)
          & ! [X2] :
              ( X1 = X2
              | sz10 = X2
              | ( ~ doDivides0(X2,X1)
                & ! [X3] :
                    ( sdtasdt0(X2,X3) != X1
                    | ~ aNaturalNumber0(X3) ) )
              | ~ aNaturalNumber0(X2) )
          & sz10 != X1
          & sz00 != X1
          & doDivides0(X1,X0)
          & ? [X4] :
              ( sdtasdt0(X1,X4) = X0
              & aNaturalNumber0(X4) )
          & aNaturalNumber0(X1) )
      | ~ iLess0(X0,xk)
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f48]) ).

fof(f48,plain,
    ! [X0] :
      ( ? [X1] :
          ( isPrime0(X1)
          & ! [X2] :
              ( X1 = X2
              | sz10 = X2
              | ( ~ doDivides0(X2,X1)
                & ! [X3] :
                    ( sdtasdt0(X2,X3) != X1
                    | ~ aNaturalNumber0(X3) ) )
              | ~ aNaturalNumber0(X2) )
          & sz10 != X1
          & sz00 != X1
          & doDivides0(X1,X0)
          & ? [X4] :
              ( sdtasdt0(X1,X4) = X0
              & aNaturalNumber0(X4) )
          & aNaturalNumber0(X1) )
      | ~ iLess0(X0,xk)
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f44,plain,
    ! [X0] :
      ( ( sz10 != X0
        & sz00 != X0
        & aNaturalNumber0(X0) )
     => ( iLess0(X0,xk)
       => ? [X1] :
            ( isPrime0(X1)
            & ! [X2] :
                ( ( ( doDivides0(X2,X1)
                    | ? [X3] :
                        ( sdtasdt0(X2,X3) = X1
                        & aNaturalNumber0(X3) ) )
                  & aNaturalNumber0(X2) )
               => ( X1 = X2
                  | sz10 = X2 ) )
            & sz10 != X1
            & sz00 != X1
            & doDivides0(X1,X0)
            & ? [X4] :
                ( sdtasdt0(X1,X4) = X0
                & aNaturalNumber0(X4) )
            & aNaturalNumber0(X1) ) ) ),
    inference(rectify,[],[f39]) ).

fof(f39,axiom,
    ! [X0] :
      ( ( sz10 != X0
        & sz00 != X0
        & aNaturalNumber0(X0) )
     => ( iLess0(X0,xk)
       => ? [X1] :
            ( isPrime0(X1)
            & ! [X2] :
                ( ( ( doDivides0(X2,X1)
                    | ? [X3] :
                        ( sdtasdt0(X2,X3) = X1
                        & aNaturalNumber0(X3) ) )
                  & aNaturalNumber0(X2) )
               => ( X1 = X2
                  | sz10 = X2 ) )
            & sz10 != X1
            & sz00 != X1
            & doDivides0(X1,X0)
            & ? [X2] :
                ( sdtasdt0(X1,X2) = X0
                & aNaturalNumber0(X2) )
            & aNaturalNumber0(X1) ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.gR4WgI2g12/Vampire---4.8_319',m__1700) ).

fof(f503,plain,
    ! [X0] :
      ( ~ iLess0(X0,xk)
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0)
      | sz00 = sK3(X0)
      | ~ sP1(sK3(X0)) ),
    inference(subsumption_resolution,[],[f502,f158]) ).

fof(f158,plain,
    ! [X0] :
      ( sz10 != sK3(X0)
      | ~ iLess0(X0,xk)
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f502,plain,
    ! [X0] :
      ( ~ iLess0(X0,xk)
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0)
      | sz10 = sK3(X0)
      | sz00 = sK3(X0)
      | ~ sP1(sK3(X0)) ),
    inference(subsumption_resolution,[],[f501,f171]) ).

fof(f171,plain,
    ! [X0] :
      ( aNaturalNumber0(sK6(X0))
      | sz10 = X0
      | sz00 = X0
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f132,plain,
    ! [X0] :
      ( ( ~ isPrime0(X0)
        & ( ( sK6(X0) != X0
            & sz10 != sK6(X0)
            & doDivides0(sK6(X0),X0)
            & sdtasdt0(sK6(X0),sK7(X0)) = X0
            & aNaturalNumber0(sK7(X0))
            & aNaturalNumber0(sK6(X0)) )
          | sz10 = X0
          | sz00 = X0 ) )
      | ~ sP1(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f129,f131,f130]) ).

fof(f130,plain,
    ! [X0] :
      ( ? [X1] :
          ( X0 != X1
          & sz10 != X1
          & doDivides0(X1,X0)
          & ? [X2] :
              ( sdtasdt0(X1,X2) = X0
              & aNaturalNumber0(X2) )
          & aNaturalNumber0(X1) )
     => ( sK6(X0) != X0
        & sz10 != sK6(X0)
        & doDivides0(sK6(X0),X0)
        & ? [X2] :
            ( sdtasdt0(sK6(X0),X2) = X0
            & aNaturalNumber0(X2) )
        & aNaturalNumber0(sK6(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f131,plain,
    ! [X0] :
      ( ? [X2] :
          ( sdtasdt0(sK6(X0),X2) = X0
          & aNaturalNumber0(X2) )
     => ( sdtasdt0(sK6(X0),sK7(X0)) = X0
        & aNaturalNumber0(sK7(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f129,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 ) )
      | ~ sP1(X0) ),
    inference(nnf_transformation,[],[f118]) ).

fof(f118,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 ) )
      | ~ sP1(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).

fof(f501,plain,
    ! [X0] :
      ( ~ aNaturalNumber0(sK6(sK3(X0)))
      | ~ iLess0(X0,xk)
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0)
      | sz10 = sK3(X0)
      | sz00 = sK3(X0)
      | ~ sP1(sK3(X0)) ),
    inference(subsumption_resolution,[],[f500,f176]) ).

fof(f176,plain,
    ! [X0] :
      ( sK6(X0) != X0
      | sz10 = X0
      | sz00 = X0
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f500,plain,
    ! [X0] :
      ( sK3(X0) = sK6(sK3(X0))
      | ~ aNaturalNumber0(sK6(sK3(X0)))
      | ~ iLess0(X0,xk)
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0)
      | sz10 = sK3(X0)
      | sz00 = sK3(X0)
      | ~ sP1(sK3(X0)) ),
    inference(subsumption_resolution,[],[f495,f175]) ).

fof(f175,plain,
    ! [X0] :
      ( sz10 != sK6(X0)
      | sz10 = X0
      | sz00 = X0
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f495,plain,
    ! [X0] :
      ( sz10 = sK6(sK3(X0))
      | sK3(X0) = sK6(sK3(X0))
      | ~ aNaturalNumber0(sK6(sK3(X0)))
      | ~ iLess0(X0,xk)
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0)
      | sz10 = sK3(X0)
      | sz00 = sK3(X0)
      | ~ sP1(sK3(X0)) ),
    inference(resolution,[],[f160,f174]) ).

fof(f174,plain,
    ! [X0] :
      ( doDivides0(sK6(X0),X0)
      | sz10 = X0
      | sz00 = X0
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f132]) ).

fof(f160,plain,
    ! [X2,X0] :
      ( ~ doDivides0(X2,sK3(X0))
      | sz10 = X2
      | sK3(X0) = X2
      | ~ aNaturalNumber0(X2)
      | ~ iLess0(X0,xk)
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f2828,plain,
    ( sP1(sK3(sK4))
    | ~ spl11_57 ),
    inference(avatar_component_clause,[],[f2826]) ).

fof(f2826,plain,
    ( spl11_57
  <=> sP1(sK3(sK4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_57])]) ).

fof(f3226,plain,
    ( ~ spl11_2
    | spl11_55 ),
    inference(avatar_contradiction_clause,[],[f3225]) ).

fof(f3225,plain,
    ( $false
    | ~ spl11_2
    | spl11_55 ),
    inference(subsumption_resolution,[],[f3224,f164]) ).

fof(f3224,plain,
    ( ~ aNaturalNumber0(sK4)
    | ~ spl11_2
    | spl11_55 ),
    inference(subsumption_resolution,[],[f3223,f151]) ).

fof(f151,plain,
    aNaturalNumber0(xk),
    inference(cnf_transformation,[],[f38]) ).

fof(f38,axiom,
    aNaturalNumber0(xk),
    file('/export/starexec/sandbox/tmp/tmp.gR4WgI2g12/Vampire---4.8_319',m__1716) ).

fof(f3223,plain,
    ( ~ aNaturalNumber0(xk)
    | ~ aNaturalNumber0(sK4)
    | ~ spl11_2
    | spl11_55 ),
    inference(subsumption_resolution,[],[f3222,f169]) ).

fof(f169,plain,
    xk != sK4,
    inference(cnf_transformation,[],[f128]) ).

fof(f3222,plain,
    ( xk = sK4
    | ~ aNaturalNumber0(xk)
    | ~ aNaturalNumber0(sK4)
    | ~ spl11_2
    | spl11_55 ),
    inference(subsumption_resolution,[],[f3220,f289]) ).

fof(f289,plain,
    ( sdtlseqdt0(sK4,xk)
    | ~ spl11_2 ),
    inference(avatar_component_clause,[],[f287]) ).

fof(f287,plain,
    ( spl11_2
  <=> sdtlseqdt0(sK4,xk) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_2])]) ).

fof(f3220,plain,
    ( ~ sdtlseqdt0(sK4,xk)
    | xk = sK4
    | ~ aNaturalNumber0(xk)
    | ~ aNaturalNumber0(sK4)
    | spl11_55 ),
    inference(resolution,[],[f2820,f194]) ).

fof(f194,plain,
    ! [X0,X1] :
      ( iLess0(X0,X1)
      | ~ sdtlseqdt0(X0,X1)
      | X0 = X1
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f60]) ).

fof(f60,plain,
    ! [X0,X1] :
      ( iLess0(X0,X1)
      | ~ sdtlseqdt0(X0,X1)
      | X0 = X1
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f59]) ).

fof(f59,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.gR4WgI2g12/Vampire---4.8_319',mIH_03) ).

fof(f2820,plain,
    ( ~ iLess0(sK4,xk)
    | spl11_55 ),
    inference(avatar_component_clause,[],[f2818]) ).

fof(f3217,plain,
    ( ~ spl11_55
    | spl11_3
    | spl11_56 ),
    inference(avatar_split_clause,[],[f3216,f2822,f294,f2818]) ).

fof(f2822,plain,
    ( spl11_56
  <=> aNaturalNumber0(sK3(sK4)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_56])]) ).

fof(f3216,plain,
    ( ~ iLess0(sK4,xk)
    | spl11_3
    | spl11_56 ),
    inference(subsumption_resolution,[],[f3215,f164]) ).

fof(f3215,plain,
    ( ~ iLess0(sK4,xk)
    | ~ aNaturalNumber0(sK4)
    | spl11_3
    | spl11_56 ),
    inference(subsumption_resolution,[],[f3214,f295]) ).

fof(f3214,plain,
    ( ~ iLess0(sK4,xk)
    | sz00 = sK4
    | ~ aNaturalNumber0(sK4)
    | spl11_56 ),
    inference(subsumption_resolution,[],[f3211,f168]) ).

fof(f3211,plain,
    ( ~ iLess0(sK4,xk)
    | sz10 = sK4
    | sz00 = sK4
    | ~ aNaturalNumber0(sK4)
    | spl11_56 ),
    inference(resolution,[],[f2824,f154]) ).

fof(f154,plain,
    ! [X0] :
      ( aNaturalNumber0(sK3(X0))
      | ~ iLess0(X0,xk)
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f2824,plain,
    ( ~ aNaturalNumber0(sK3(sK4))
    | spl11_56 ),
    inference(avatar_component_clause,[],[f2822]) ).

fof(f2829,plain,
    ( ~ spl11_55
    | ~ spl11_56
    | spl11_57
    | spl11_3 ),
    inference(avatar_split_clause,[],[f2816,f294,f2826,f2822,f2818]) ).

fof(f2816,plain,
    ( sP1(sK3(sK4))
    | ~ aNaturalNumber0(sK3(sK4))
    | ~ iLess0(sK4,xk)
    | spl11_3 ),
    inference(subsumption_resolution,[],[f2815,f164]) ).

fof(f2815,plain,
    ( sP1(sK3(sK4))
    | ~ aNaturalNumber0(sK3(sK4))
    | ~ iLess0(sK4,xk)
    | ~ aNaturalNumber0(sK4)
    | spl11_3 ),
    inference(subsumption_resolution,[],[f2814,f295]) ).

fof(f2814,plain,
    ( sP1(sK3(sK4))
    | ~ aNaturalNumber0(sK3(sK4))
    | ~ iLess0(sK4,xk)
    | sz00 = sK4
    | ~ aNaturalNumber0(sK4) ),
    inference(subsumption_resolution,[],[f2784,f168]) ).

fof(f2784,plain,
    ( sP1(sK3(sK4))
    | ~ aNaturalNumber0(sK3(sK4))
    | ~ iLess0(sK4,xk)
    | sz10 = sK4
    | sz00 = sK4
    | ~ aNaturalNumber0(sK4) ),
    inference(resolution,[],[f752,f156]) ).

fof(f156,plain,
    ! [X0] :
      ( doDivides0(sK3(X0),X0)
      | ~ iLess0(X0,xk)
      | sz10 = X0
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f125]) ).

fof(f752,plain,
    ! [X0] :
      ( ~ doDivides0(X0,sK4)
      | sP1(X0)
      | ~ aNaturalNumber0(X0) ),
    inference(subsumption_resolution,[],[f743,f164]) ).

fof(f743,plain,
    ! [X0] :
      ( ~ aNaturalNumber0(X0)
      | sP1(X0)
      | ~ doDivides0(X0,sK4)
      | ~ aNaturalNumber0(sK4) ),
    inference(resolution,[],[f413,f167]) ).

fof(f167,plain,
    doDivides0(sK4,xk),
    inference(cnf_transformation,[],[f128]) ).

fof(f413,plain,
    ! [X0,X1] :
      ( ~ doDivides0(X1,xk)
      | ~ aNaturalNumber0(X0)
      | sP1(X0)
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X1) ),
    inference(subsumption_resolution,[],[f382,f151]) ).

fof(f382,plain,
    ! [X0,X1] :
      ( sP1(X0)
      | ~ aNaturalNumber0(X0)
      | ~ doDivides0(X1,xk)
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(xk)
      | ~ aNaturalNumber0(X1) ),
    inference(duplicate_literal_removal,[],[f381]) ).

fof(f381,plain,
    ! [X0,X1] :
      ( sP1(X0)
      | ~ aNaturalNumber0(X0)
      | ~ doDivides0(X1,xk)
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(xk)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(resolution,[],[f179,f220]) ).

fof(f220,plain,
    ! [X2,X0,X1] :
      ( doDivides0(X0,X2)
      | ~ doDivides0(X1,X2)
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f91]) ).

fof(f91,plain,
    ! [X0,X1,X2] :
      ( doDivides0(X0,X2)
      | ~ doDivides0(X1,X2)
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f90]) ).

fof(f90,plain,
    ! [X0,X1,X2] :
      ( doDivides0(X0,X2)
      | ~ doDivides0(X1,X2)
      | ~ doDivides0(X0,X1)
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f32,axiom,
    ! [X0,X1,X2] :
      ( ( aNaturalNumber0(X2)
        & aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( doDivides0(X1,X2)
          & doDivides0(X0,X1) )
       => doDivides0(X0,X2) ) ),
    file('/export/starexec/sandbox/tmp/tmp.gR4WgI2g12/Vampire---4.8_319',mDivTrans) ).

fof(f179,plain,
    ! [X0] :
      ( ~ doDivides0(X0,xk)
      | sP1(X0)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f133]) ).

fof(f133,plain,
    ! [X0] :
      ( sP1(X0)
      | ( ~ doDivides0(X0,xk)
        & ! [X1] :
            ( sdtasdt0(X0,X1) != xk
            | ~ aNaturalNumber0(X1) ) )
      | ~ aNaturalNumber0(X0) ),
    inference(rectify,[],[f119]) ).

fof(f119,plain,
    ! [X0] :
      ( sP1(X0)
      | ( ~ doDivides0(X0,xk)
        & ! [X3] :
            ( xk != sdtasdt0(X0,X3)
            | ~ aNaturalNumber0(X3) ) )
      | ~ aNaturalNumber0(X0) ),
    inference(definition_folding,[],[f53,f118]) ).

fof(f53,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 ) )
      | ( ~ doDivides0(X0,xk)
        & ! [X3] :
            ( xk != sdtasdt0(X0,X3)
            | ~ aNaturalNumber0(X3) ) )
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f52]) ).

fof(f52,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 ) )
      | ( ~ doDivides0(X0,xk)
        & ! [X3] :
            ( xk != sdtasdt0(X0,X3)
            | ~ aNaturalNumber0(X3) ) )
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f45,plain,
    ~ ? [X0] :
        ( ( isPrime0(X0)
          | ( ! [X1] :
                ( ( doDivides0(X1,X0)
                  & ? [X2] :
                      ( sdtasdt0(X1,X2) = X0
                      & aNaturalNumber0(X2) )
                  & aNaturalNumber0(X1) )
               => ( X0 = X1
                  | sz10 = X1 ) )
            & sz10 != X0
            & sz00 != X0 ) )
        & ( doDivides0(X0,xk)
          | ? [X3] :
              ( xk = sdtasdt0(X0,X3)
              & aNaturalNumber0(X3) ) )
        & aNaturalNumber0(X0) ),
    inference(rectify,[],[f43]) ).

fof(f43,negated_conjecture,
    ~ ? [X0] :
        ( ( isPrime0(X0)
          | ( ! [X1] :
                ( ( doDivides0(X1,X0)
                  & ? [X2] :
                      ( sdtasdt0(X1,X2) = X0
                      & aNaturalNumber0(X2) )
                  & aNaturalNumber0(X1) )
               => ( X0 = X1
                  | sz10 = X1 ) )
            & sz10 != X0
            & sz00 != X0 ) )
        & ( doDivides0(X0,xk)
          | ? [X1] :
              ( sdtasdt0(X0,X1) = xk
              & aNaturalNumber0(X1) ) )
        & aNaturalNumber0(X0) ),
    inference(negated_conjecture,[],[f42]) ).

fof(f42,conjecture,
    ? [X0] :
      ( ( isPrime0(X0)
        | ( ! [X1] :
              ( ( doDivides0(X1,X0)
                & ? [X2] :
                    ( sdtasdt0(X1,X2) = X0
                    & aNaturalNumber0(X2) )
                & aNaturalNumber0(X1) )
             => ( X0 = X1
                | sz10 = X1 ) )
          & sz10 != X0
          & sz00 != X0 ) )
      & ( doDivides0(X0,xk)
        | ? [X1] :
            ( sdtasdt0(X0,X1) = xk
            & aNaturalNumber0(X1) ) )
      & aNaturalNumber0(X0) ),
    file('/export/starexec/sandbox/tmp/tmp.gR4WgI2g12/Vampire---4.8_319',m__) ).

fof(f2397,plain,
    ~ spl11_1,
    inference(avatar_contradiction_clause,[],[f2396]) ).

fof(f2396,plain,
    ( $false
    | ~ spl11_1 ),
    inference(subsumption_resolution,[],[f2395,f164]) ).

fof(f2395,plain,
    ( ~ aNaturalNumber0(sK4)
    | ~ spl11_1 ),
    inference(subsumption_resolution,[],[f2352,f162]) ).

fof(f162,plain,
    sz00 != xk,
    inference(cnf_transformation,[],[f40]) ).

fof(f40,axiom,
    ( sz10 != xk
    & sz00 != xk ),
    file('/export/starexec/sandbox/tmp/tmp.gR4WgI2g12/Vampire---4.8_319',m__1716_04) ).

fof(f2352,plain,
    ( sz00 = xk
    | ~ aNaturalNumber0(sK4)
    | ~ spl11_1 ),
    inference(superposition,[],[f212,f1417]) ).

fof(f1417,plain,
    ( xk = sdtasdt0(sK4,sz00)
    | ~ spl11_1 ),
    inference(superposition,[],[f166,f285]) ).

fof(f285,plain,
    ( sz00 = sK5
    | ~ spl11_1 ),
    inference(avatar_component_clause,[],[f283]) ).

fof(f283,plain,
    ( spl11_1
  <=> sz00 = sK5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl11_1])]) ).

fof(f166,plain,
    xk = sdtasdt0(sK4,sK5),
    inference(cnf_transformation,[],[f128]) ).

fof(f212,plain,
    ! [X0] :
      ( sz00 = sdtasdt0(X0,sz00)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f77]) ).

fof(f77,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.gR4WgI2g12/Vampire---4.8_319',m_MulZero) ).

fof(f801,plain,
    ~ spl11_3,
    inference(avatar_contradiction_clause,[],[f800]) ).

fof(f800,plain,
    ( $false
    | ~ spl11_3 ),
    inference(subsumption_resolution,[],[f799,f165]) ).

fof(f165,plain,
    aNaturalNumber0(sK5),
    inference(cnf_transformation,[],[f128]) ).

fof(f799,plain,
    ( ~ aNaturalNumber0(sK5)
    | ~ spl11_3 ),
    inference(subsumption_resolution,[],[f769,f162]) ).

fof(f769,plain,
    ( sz00 = xk
    | ~ aNaturalNumber0(sK5)
    | ~ spl11_3 ),
    inference(superposition,[],[f213,f373]) ).

fof(f373,plain,
    ( xk = sdtasdt0(sz00,sK5)
    | ~ spl11_3 ),
    inference(superposition,[],[f166,f296]) ).

fof(f296,plain,
    ( sz00 = sK4
    | ~ spl11_3 ),
    inference(avatar_component_clause,[],[f294]) ).

fof(f213,plain,
    ! [X0] :
      ( sz00 = sdtasdt0(sz00,X0)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f77]) ).

fof(f290,plain,
    ( spl11_1
    | spl11_2 ),
    inference(avatar_split_clause,[],[f281,f287,f283]) ).

fof(f281,plain,
    ( sdtlseqdt0(sK4,xk)
    | sz00 = sK5 ),
    inference(subsumption_resolution,[],[f280,f165]) ).

fof(f280,plain,
    ( sdtlseqdt0(sK4,xk)
    | sz00 = sK5
    | ~ aNaturalNumber0(sK5) ),
    inference(subsumption_resolution,[],[f260,f164]) ).

fof(f260,plain,
    ( sdtlseqdt0(sK4,xk)
    | sz00 = sK5
    | ~ aNaturalNumber0(sK4)
    | ~ aNaturalNumber0(sK5) ),
    inference(superposition,[],[f202,f166]) ).

fof(f202,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,sdtasdt0(X1,X0))
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f68]) ).

fof(f68,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,sdtasdt0(X1,X0))
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f67]) ).

fof(f67,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,sdtasdt0(X1,X0))
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f27]) ).

fof(f27,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( sz00 != X0
       => sdtlseqdt0(X1,sdtasdt0(X1,X0)) ) ),
    file('/export/starexec/sandbox/tmp/tmp.gR4WgI2g12/Vampire---4.8_319',mMonMul2) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.12  % Problem    : NUM483+3 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35  % Computer : n006.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Fri May  3 14:36:38 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a FOF_THM_RFO_SEQ problem
% 0.15/0.35  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.gR4WgI2g12/Vampire---4.8_319
% 0.56/0.74  % (434)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)
% 0.56/0.74  % (427)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)
% 0.56/0.74  % (429)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.74  % (431)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)
% 0.56/0.74  % (430)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)
% 0.56/0.74  % (428)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)
% 0.56/0.74  % (432)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)
% 0.56/0.74  % (433)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)
% 0.56/0.76  % (434)Instruction limit reached!
% 0.56/0.76  % (434)------------------------------
% 0.56/0.76  % (434)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76  % (434)Termination reason: Unknown
% 0.56/0.76  % (434)Termination phase: Saturation
% 0.56/0.76  
% 0.56/0.76  % (434)Memory used [KB]: 1718
% 0.56/0.76  % (434)Time elapsed: 0.020 s
% 0.56/0.76  % (434)Instructions burned: 57 (million)
% 0.56/0.76  % (434)------------------------------
% 0.56/0.76  % (434)------------------------------
% 0.56/0.76  % (430)Instruction limit reached!
% 0.56/0.76  % (430)------------------------------
% 0.56/0.76  % (430)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76  % (431)Instruction limit reached!
% 0.56/0.76  % (431)------------------------------
% 0.56/0.76  % (431)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76  % (430)Termination reason: Unknown
% 0.56/0.76  % (430)Termination phase: Saturation
% 0.56/0.76  
% 0.56/0.76  % (430)Memory used [KB]: 1564
% 0.56/0.76  % (430)Time elapsed: 0.020 s
% 0.56/0.76  % (430)Instructions burned: 34 (million)
% 0.56/0.76  % (430)------------------------------
% 0.56/0.76  % (430)------------------------------
% 0.56/0.76  % (431)Termination reason: Unknown
% 0.56/0.76  % (431)Termination phase: Saturation
% 0.56/0.76  
% 0.56/0.76  % (431)Memory used [KB]: 1539
% 0.56/0.76  % (431)Time elapsed: 0.020 s
% 0.56/0.76  % (431)Instructions burned: 35 (million)
% 0.56/0.76  % (431)------------------------------
% 0.56/0.76  % (431)------------------------------
% 0.56/0.76  % (427)Instruction limit reached!
% 0.56/0.76  % (427)------------------------------
% 0.56/0.76  % (427)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.56/0.76  % (427)Termination reason: Unknown
% 0.56/0.76  % (427)Termination phase: Saturation
% 0.56/0.76  
% 0.56/0.76  % (427)Memory used [KB]: 1308
% 0.56/0.76  % (427)Time elapsed: 0.021 s
% 0.56/0.76  % (427)Instructions burned: 35 (million)
% 0.56/0.76  % (427)------------------------------
% 0.56/0.76  % (427)------------------------------
% 0.56/0.76  % (435)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)
% 0.56/0.76  % (437)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)
% 0.56/0.76  % (438)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)
% 0.67/0.77  % (432)Instruction limit reached!
% 0.67/0.77  % (432)------------------------------
% 0.67/0.77  % (432)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.77  % (432)Termination reason: Unknown
% 0.67/0.77  % (432)Termination phase: Saturation
% 0.67/0.77  % (436)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)
% 0.67/0.77  
% 0.67/0.77  % (432)Memory used [KB]: 1541
% 0.67/0.77  % (432)Time elapsed: 0.026 s
% 0.67/0.77  % (432)Instructions burned: 45 (million)
% 0.67/0.77  % (432)------------------------------
% 0.67/0.77  % (432)------------------------------
% 0.67/0.77  % (428)Instruction limit reached!
% 0.67/0.77  % (428)------------------------------
% 0.67/0.77  % (428)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.77  % (428)Termination reason: Unknown
% 0.67/0.77  % (428)Termination phase: Saturation
% 0.67/0.77  
% 0.67/0.77  % (428)Memory used [KB]: 1550
% 0.67/0.77  % (428)Time elapsed: 0.030 s
% 0.67/0.77  % (428)Instructions burned: 51 (million)
% 0.67/0.77  % (428)------------------------------
% 0.67/0.77  % (428)------------------------------
% 0.67/0.77  % (439)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)
% 0.67/0.77  % (440)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on Vampire---4 for (2995ds/42Mi)
% 0.67/0.78  % (433)Instruction limit reached!
% 0.67/0.78  % (433)------------------------------
% 0.67/0.78  % (433)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.78  % (433)Termination reason: Unknown
% 0.67/0.78  % (433)Termination phase: Saturation
% 0.67/0.78  
% 0.67/0.78  % (433)Memory used [KB]: 1873
% 0.67/0.78  % (433)Time elapsed: 0.038 s
% 0.67/0.78  % (433)Instructions burned: 84 (million)
% 0.67/0.78  % (433)------------------------------
% 0.67/0.78  % (433)------------------------------
% 0.67/0.78  % (440)Refutation not found, incomplete strategy% (440)------------------------------
% 0.67/0.78  % (440)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.78  % (440)Termination reason: Refutation not found, incomplete strategy
% 0.67/0.78  
% 0.67/0.78  % (435)Instruction limit reached!
% 0.67/0.78  % (435)------------------------------
% 0.67/0.78  % (435)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.78  % (435)Termination reason: Unknown
% 0.67/0.78  % (435)Termination phase: Saturation
% 0.67/0.78  
% 0.67/0.78  % (435)Memory used [KB]: 2036
% 0.67/0.78  % (435)Time elapsed: 0.018 s
% 0.67/0.78  % (435)Instructions burned: 58 (million)
% 0.67/0.78  % (435)------------------------------
% 0.67/0.78  % (435)------------------------------
% 0.67/0.78  % (440)Memory used [KB]: 1159
% 0.67/0.78  % (440)Time elapsed: 0.007 s
% 0.67/0.78  % (440)Instructions burned: 10 (million)
% 0.67/0.78  % (440)------------------------------
% 0.67/0.78  % (440)------------------------------
% 0.67/0.78  % (442)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)
% 0.67/0.78  % (441)dis+1011_1258907:1048576_bsr=unit_only:to=lpo:drc=off:sil=2000:tgt=full:fde=none:sp=frequency:spb=goal:rnwc=on:nwc=6.70083:sac=on:newcnf=on:st=2:i=243:bs=unit_only:sd=3:afp=300:awrs=decay:awrsf=218:nm=16:ins=3:afq=3.76821:afr=on:ss=axioms:sgt=5:rawr=on:add=off:bsd=on_0 on Vampire---4 for (2995ds/243Mi)
% 0.67/0.78  % (443)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)
% 0.67/0.79  % (429)Instruction limit reached!
% 0.67/0.79  % (429)------------------------------
% 0.67/0.79  % (429)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.79  % (429)Termination reason: Unknown
% 0.67/0.79  % (429)Termination phase: Saturation
% 0.67/0.79  
% 0.67/0.79  % (429)Memory used [KB]: 1856
% 0.67/0.79  % (429)Time elapsed: 0.047 s
% 0.67/0.79  % (429)Instructions burned: 78 (million)
% 0.67/0.79  % (429)------------------------------
% 0.67/0.79  % (429)------------------------------
% 0.67/0.79  % (436)Instruction limit reached!
% 0.67/0.79  % (436)------------------------------
% 0.67/0.79  % (436)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.79  % (436)Termination reason: Unknown
% 0.67/0.79  % (436)Termination phase: Saturation
% 0.67/0.79  
% 0.67/0.79  % (436)Memory used [KB]: 1452
% 0.67/0.79  % (436)Time elapsed: 0.026 s
% 0.67/0.79  % (436)Instructions burned: 50 (million)
% 0.67/0.79  % (436)------------------------------
% 0.67/0.79  % (436)------------------------------
% 0.67/0.79  % (444)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)
% 0.67/0.79  % (445)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)
% 0.67/0.80  % (438)Instruction limit reached!
% 0.67/0.80  % (438)------------------------------
% 0.67/0.80  % (438)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.80  % (438)Termination reason: Unknown
% 0.67/0.80  % (438)Termination phase: Saturation
% 0.67/0.80  
% 0.67/0.80  % (438)Memory used [KB]: 1622
% 0.67/0.80  % (438)Time elapsed: 0.035 s
% 0.67/0.80  % (438)Instructions burned: 53 (million)
% 0.67/0.80  % (438)------------------------------
% 0.67/0.80  % (438)------------------------------
% 0.67/0.80  % (446)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)
% 0.67/0.82  % (442)Instruction limit reached!
% 0.67/0.82  % (442)------------------------------
% 0.67/0.82  % (442)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.82  % (442)Termination reason: Unknown
% 0.67/0.82  % (442)Termination phase: Saturation
% 0.67/0.82  
% 0.67/0.82  % (442)Memory used [KB]: 2079
% 0.67/0.82  % (442)Time elapsed: 0.062 s
% 0.67/0.82  % (442)Instructions burned: 120 (million)
% 0.67/0.82  % (442)------------------------------
% 0.67/0.82  % (442)------------------------------
% 0.67/0.82  % (446)Instruction limit reached!
% 0.67/0.82  % (446)------------------------------
% 0.67/0.82  % (446)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.82  % (446)Termination reason: Unknown
% 0.67/0.82  % (446)Termination phase: Saturation
% 0.67/0.82  
% 0.67/0.82  % (446)Memory used [KB]: 1372
% 0.67/0.82  % (446)Time elapsed: 0.020 s
% 0.67/0.82  % (446)Instructions burned: 33 (million)
% 0.67/0.82  % (446)------------------------------
% 0.67/0.82  % (446)------------------------------
% 0.67/0.82  % (447)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)
% 0.67/0.82  % (448)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)
% 0.67/0.83  % (445)Instruction limit reached!
% 0.67/0.83  % (445)------------------------------
% 0.67/0.83  % (445)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.83  % (445)Termination reason: Unknown
% 0.67/0.83  % (445)Termination phase: Saturation
% 0.67/0.83  
% 0.67/0.83  % (445)Memory used [KB]: 2038
% 0.67/0.83  % (445)Time elapsed: 0.058 s
% 0.67/0.83  % (445)Instructions burned: 63 (million)
% 0.67/0.83  % (445)------------------------------
% 0.67/0.83  % (445)------------------------------
% 0.67/0.83  % (449)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)
% 0.67/0.84  % (444)Instruction limit reached!
% 0.67/0.84  % (444)------------------------------
% 0.67/0.84  % (444)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.84  % (444)Termination reason: Unknown
% 0.67/0.84  % (444)Termination phase: Saturation
% 0.67/0.84  
% 0.67/0.84  % (444)Memory used [KB]: 1960
% 0.67/0.84  % (444)Time elapsed: 0.077 s
% 0.67/0.84  % (444)Instructions burned: 94 (million)
% 0.67/0.84  % (444)------------------------------
% 0.67/0.84  % (444)------------------------------
% 0.67/0.85  % (450)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)
% 0.67/0.85  % (448)Instruction limit reached!
% 0.67/0.85  % (448)------------------------------
% 0.67/0.85  % (448)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.85  % (448)Termination reason: Unknown
% 0.67/0.85  % (448)Termination phase: Saturation
% 0.67/0.85  
% 0.67/0.85  % (448)Memory used [KB]: 2161
% 0.67/0.85  % (448)Time elapsed: 0.029 s
% 0.67/0.85  % (448)Instructions burned: 55 (million)
% 0.67/0.85  % (448)------------------------------
% 0.67/0.85  % (448)------------------------------
% 0.67/0.85  % (443)Instruction limit reached!
% 0.67/0.85  % (443)------------------------------
% 0.67/0.85  % (443)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.67/0.85  % (443)Termination reason: Unknown
% 0.67/0.85  % (443)Termination phase: Saturation
% 0.67/0.85  
% 0.67/0.85  % (443)Memory used [KB]: 2179
% 0.67/0.85  % (443)Time elapsed: 0.093 s
% 0.67/0.85  % (443)Instructions burned: 144 (million)
% 0.67/0.85  % (443)------------------------------
% 0.67/0.85  % (443)------------------------------
% 1.17/0.86  % (449)Instruction limit reached!
% 1.17/0.86  % (449)------------------------------
% 1.17/0.86  % (449)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.17/0.86  % (449)Termination reason: Unknown
% 1.17/0.86  % (449)Termination phase: Saturation
% 1.17/0.86  
% 1.17/0.86  % (449)Memory used [KB]: 1651
% 1.17/0.86  % (449)Time elapsed: 0.027 s
% 1.17/0.86  % (449)Instructions burned: 54 (million)
% 1.17/0.86  % (449)------------------------------
% 1.17/0.86  % (449)------------------------------
% 1.17/0.86  % (451)dis+10_3:31_sil=2000:sp=frequency:abs=on:acc=on:lcm=reverse:nwc=3.0:alpa=random:st=3.0:i=102:sd=1:nm=4:ins=1:aer=off:ss=axioms_0 on Vampire---4 for (2994ds/102Mi)
% 1.17/0.86  % (452)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 (2994ds/35Mi)
% 1.17/0.86  % (453)dis+1003_1:1024_sil=4000:urr=on:newcnf=on:i=87:av=off:fsr=off:bce=on_0 on Vampire---4 for (2994ds/87Mi)
% 1.17/0.87  % (452)Instruction limit reached!
% 1.17/0.87  % (452)------------------------------
% 1.17/0.87  % (452)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.17/0.87  % (452)Termination reason: Unknown
% 1.17/0.87  % (452)Termination phase: Saturation
% 1.17/0.87  
% 1.17/0.87  % (452)Memory used [KB]: 1248
% 1.17/0.87  % (452)Time elapsed: 0.014 s
% 1.17/0.87  % (452)Instructions burned: 35 (million)
% 1.17/0.87  % (452)------------------------------
% 1.17/0.87  % (452)------------------------------
% 1.17/0.87  % (454)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 (2994ds/109Mi)
% 1.17/0.87  % (450)Instruction limit reached!
% 1.17/0.87  % (450)------------------------------
% 1.17/0.87  % (450)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.17/0.87  % (450)Termination reason: Unknown
% 1.17/0.87  % (450)Termination phase: Saturation
% 1.17/0.87  
% 1.17/0.87  % (450)Memory used [KB]: 1985
% 1.17/0.87  % (450)Time elapsed: 0.026 s
% 1.17/0.87  % (450)Instructions burned: 46 (million)
% 1.17/0.87  % (450)------------------------------
% 1.17/0.87  % (450)------------------------------
% 1.17/0.87  % (437)Instruction limit reached!
% 1.17/0.87  % (437)------------------------------
% 1.17/0.87  % (437)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.17/0.87  % (437)Termination reason: Unknown
% 1.17/0.87  % (437)Termination phase: Saturation
% 1.17/0.87  
% 1.17/0.87  % (437)Memory used [KB]: 2711
% 1.17/0.87  % (437)Time elapsed: 0.111 s
% 1.17/0.87  % (437)Instructions burned: 209 (million)
% 1.17/0.87  % (437)------------------------------
% 1.17/0.87  % (437)------------------------------
% 1.17/0.87  % (455)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)
% 1.17/0.87  % (456)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)
% 1.36/0.88  % (453)Instruction limit reached!
% 1.36/0.88  % (453)------------------------------
% 1.36/0.88  % (453)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.36/0.88  % (453)Termination reason: Unknown
% 1.36/0.88  % (453)Termination phase: Saturation
% 1.36/0.88  
% 1.36/0.88  % (453)Memory used [KB]: 2235
% 1.36/0.88  % (453)Time elapsed: 0.028 s
% 1.36/0.88  % (453)Instructions burned: 90 (million)
% 1.36/0.88  % (453)------------------------------
% 1.36/0.88  % (453)------------------------------
% 1.36/0.89  % (457)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)
% 1.36/0.89  % (441)Instruction limit reached!
% 1.36/0.89  % (441)------------------------------
% 1.36/0.89  % (441)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.36/0.89  % (441)Termination reason: Unknown
% 1.36/0.89  % (441)Termination phase: Saturation
% 1.36/0.89  
% 1.36/0.89  % (441)Memory used [KB]: 2313
% 1.36/0.89  % (441)Time elapsed: 0.131 s
% 1.36/0.89  % (441)Instructions burned: 246 (million)
% 1.36/0.89  % (441)------------------------------
% 1.36/0.89  % (441)------------------------------
% 1.36/0.89  % (439)First to succeed.
% 1.36/0.89  % (458)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)
% 1.36/0.89  % (439)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-426"
% 1.36/0.89  % (439)Refutation found. Thanks to Tanya!
% 1.36/0.89  % SZS status Theorem for Vampire---4
% 1.36/0.89  % SZS output start Proof for Vampire---4
% See solution above
% 1.36/0.89  % (439)------------------------------
% 1.36/0.89  % (439)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.36/0.89  % (439)Termination reason: Refutation
% 1.36/0.89  
% 1.36/0.89  % (439)Memory used [KB]: 2708
% 1.36/0.89  % (439)Time elapsed: 0.147 s
% 1.36/0.89  % (439)Instructions burned: 300 (million)
% 1.36/0.89  % (426)Success in time 0.541 s
% 1.36/0.89  % Vampire---4.8 exiting
%------------------------------------------------------------------------------