TSTP Solution File: NUM510+3 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : NUM510+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun May  5 08:12:39 EDT 2024

% Result   : Theorem 1.29s 0.93s
% Output   : Refutation 1.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   20
% Syntax   : Number of formulae    :  121 (  30 unt;   0 def)
%            Number of atoms       :  477 ( 202 equ)
%            Maximal formula atoms :   13 (   3 avg)
%            Number of connectives :  544 ( 188   ~; 193   |; 139   &)
%                                         (   6 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;  11 con; 0-2 aty)
%            Number of variables   :  127 ( 104   !;  23   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1675,plain,
    $false,
    inference(subsumption_resolution,[],[f1674,f182]) ).

fof(f182,plain,
    aNaturalNumber0(xm),
    inference(cnf_transformation,[],[f39]) ).

fof(f39,axiom,
    ( aNaturalNumber0(xp)
    & aNaturalNumber0(xm)
    & aNaturalNumber0(xn) ),
    file('/export/starexec/sandbox2/tmp/tmp.UKm2AcSdK1/Vampire---4.8_16066',m__1837) ).

fof(f1674,plain,
    ~ aNaturalNumber0(xm),
    inference(subsumption_resolution,[],[f1673,f1473]) ).

fof(f1473,plain,
    ~ sdtlseqdt0(xp,sz00),
    inference(superposition,[],[f218,f1470]) ).

fof(f1470,plain,
    sz00 = xn,
    inference(subsumption_resolution,[],[f1469,f181]) ).

fof(f181,plain,
    aNaturalNumber0(xn),
    inference(cnf_transformation,[],[f39]) ).

fof(f1469,plain,
    ( sz00 = xn
    | ~ aNaturalNumber0(xn) ),
    inference(subsumption_resolution,[],[f1468,f241]) ).

fof(f241,plain,
    sz10 != xr,
    inference(cnf_transformation,[],[f153]) ).

fof(f153,plain,
    ( isPrime0(xr)
    & ! [X0] :
        ( xr = X0
        | sz10 = X0
        | ( ~ doDivides0(X0,xr)
          & ! [X1] :
              ( sdtasdt0(X0,X1) != xr
              | ~ aNaturalNumber0(X1) ) )
        | ~ aNaturalNumber0(X0) )
    & sz10 != xr
    & sz00 != xr
    & doDivides0(xr,xk)
    & xk = sdtasdt0(xr,sK8)
    & aNaturalNumber0(sK8)
    & aNaturalNumber0(xr) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK8])],[f71,f152]) ).

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

fof(f71,plain,
    ( isPrime0(xr)
    & ! [X0] :
        ( xr = X0
        | sz10 = X0
        | ( ~ doDivides0(X0,xr)
          & ! [X1] :
              ( sdtasdt0(X0,X1) != xr
              | ~ aNaturalNumber0(X1) ) )
        | ~ aNaturalNumber0(X0) )
    & sz10 != xr
    & sz00 != xr
    & doDivides0(xr,xk)
    & ? [X2] :
        ( xk = sdtasdt0(xr,X2)
        & aNaturalNumber0(X2) )
    & aNaturalNumber0(xr) ),
    inference(flattening,[],[f70]) ).

fof(f70,plain,
    ( isPrime0(xr)
    & ! [X0] :
        ( xr = X0
        | sz10 = X0
        | ( ~ doDivides0(X0,xr)
          & ! [X1] :
              ( sdtasdt0(X0,X1) != xr
              | ~ aNaturalNumber0(X1) ) )
        | ~ aNaturalNumber0(X0) )
    & sz10 != xr
    & sz00 != xr
    & doDivides0(xr,xk)
    & ? [X2] :
        ( xk = sdtasdt0(xr,X2)
        & aNaturalNumber0(X2) )
    & aNaturalNumber0(xr) ),
    inference(ennf_transformation,[],[f58]) ).

fof(f58,plain,
    ( isPrime0(xr)
    & ! [X0] :
        ( ( ( doDivides0(X0,xr)
            | ? [X1] :
                ( sdtasdt0(X0,X1) = xr
                & aNaturalNumber0(X1) ) )
          & aNaturalNumber0(X0) )
       => ( xr = X0
          | sz10 = X0 ) )
    & sz10 != xr
    & sz00 != xr
    & doDivides0(xr,xk)
    & ? [X2] :
        ( xk = sdtasdt0(xr,X2)
        & aNaturalNumber0(X2) )
    & aNaturalNumber0(xr) ),
    inference(rectify,[],[f48]) ).

fof(f48,axiom,
    ( isPrime0(xr)
    & ! [X0] :
        ( ( ( doDivides0(X0,xr)
            | ? [X1] :
                ( sdtasdt0(X0,X1) = xr
                & aNaturalNumber0(X1) ) )
          & aNaturalNumber0(X0) )
       => ( xr = X0
          | sz10 = X0 ) )
    & sz10 != xr
    & sz00 != xr
    & doDivides0(xr,xk)
    & ? [X0] :
        ( xk = sdtasdt0(xr,X0)
        & aNaturalNumber0(X0) )
    & aNaturalNumber0(xr) ),
    file('/export/starexec/sandbox2/tmp/tmp.UKm2AcSdK1/Vampire---4.8_16066',m__2342) ).

fof(f1468,plain,
    ( sz10 = xr
    | sz00 = xn
    | ~ aNaturalNumber0(xn) ),
    inference(duplicate_literal_removal,[],[f1462]) ).

fof(f1462,plain,
    ( sz10 = xr
    | sz00 = xn
    | ~ aNaturalNumber0(xn)
    | sz00 = xn ),
    inference(superposition,[],[f1338,f1343]) ).

fof(f1343,plain,
    ( xr = sdtsldt0(xn,xn)
    | sz00 = xn ),
    inference(subsumption_resolution,[],[f1342,f181]) ).

fof(f1342,plain,
    ( xr = sdtsldt0(xn,xn)
    | sz00 = xn
    | ~ aNaturalNumber0(xn) ),
    inference(subsumption_resolution,[],[f1315,f236]) ).

fof(f236,plain,
    aNaturalNumber0(xr),
    inference(cnf_transformation,[],[f153]) ).

fof(f1315,plain,
    ( xr = sdtsldt0(xn,xn)
    | ~ aNaturalNumber0(xr)
    | sz00 = xn
    | ~ aNaturalNumber0(xn) ),
    inference(superposition,[],[f374,f829]) ).

fof(f829,plain,
    xn = sdtasdt0(xn,xr),
    inference(subsumption_resolution,[],[f828,f181]) ).

fof(f828,plain,
    ( xn = sdtasdt0(xn,xr)
    | ~ aNaturalNumber0(xn) ),
    inference(subsumption_resolution,[],[f819,f236]) ).

fof(f819,plain,
    ( xn = sdtasdt0(xn,xr)
    | ~ aNaturalNumber0(xr)
    | ~ aNaturalNumber0(xn) ),
    inference(superposition,[],[f818,f303]) ).

fof(f303,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f99]) ).

fof(f99,plain,
    ! [X0,X1] :
      ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
    file('/export/starexec/sandbox2/tmp/tmp.UKm2AcSdK1/Vampire---4.8_16066',mMulComm) ).

fof(f818,plain,
    xn = sdtasdt0(xr,xn),
    inference(forward_demodulation,[],[f807,f368]) ).

fof(f368,plain,
    xn = sF20,
    inference(duplicate_literal_removal,[],[f361]) ).

fof(f361,plain,
    ( xn = sF20
    | xn = sF20 ),
    inference(definition_folding,[],[f270,f354,f352,f354,f352]) ).

fof(f352,plain,
    sdtsldt0(xn,xr) = sF19,
    introduced(function_definition,[new_symbols(definition,[sF19])]) ).

fof(f354,plain,
    sdtasdt0(xr,sF19) = sF20,
    introduced(function_definition,[new_symbols(definition,[sF20])]) ).

fof(f270,plain,
    ( xn = sdtasdt0(xr,sdtsldt0(xn,xr))
    | xn = sdtasdt0(xr,sdtsldt0(xn,xr)) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f73,plain,
    ( ( ~ sdtlseqdt0(sdtsldt0(xn,xr),xn)
      & ! [X0] :
          ( xn != sdtpldt0(sdtsldt0(xn,xr),X0)
          | ~ aNaturalNumber0(X0) )
      & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
      & aNaturalNumber0(sdtsldt0(xn,xr)) )
    | ( xn = sdtsldt0(xn,xr)
      & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
      & aNaturalNumber0(sdtsldt0(xn,xr)) ) ),
    inference(flattening,[],[f72]) ).

fof(f72,plain,
    ( ( ~ sdtlseqdt0(sdtsldt0(xn,xr),xn)
      & ! [X0] :
          ( xn != sdtpldt0(sdtsldt0(xn,xr),X0)
          | ~ aNaturalNumber0(X0) )
      & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
      & aNaturalNumber0(sdtsldt0(xn,xr)) )
    | ( xn = sdtsldt0(xn,xr)
      & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
      & aNaturalNumber0(sdtsldt0(xn,xr)) ) ),
    inference(ennf_transformation,[],[f54]) ).

fof(f54,negated_conjecture,
    ~ ( ( ( xn = sdtasdt0(xr,sdtsldt0(xn,xr))
          & aNaturalNumber0(sdtsldt0(xn,xr)) )
       => ( sdtlseqdt0(sdtsldt0(xn,xr),xn)
          | ? [X0] :
              ( xn = sdtpldt0(sdtsldt0(xn,xr),X0)
              & aNaturalNumber0(X0) ) ) )
      & ~ ( xn = sdtsldt0(xn,xr)
          & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
          & aNaturalNumber0(sdtsldt0(xn,xr)) ) ),
    inference(negated_conjecture,[],[f53]) ).

fof(f53,conjecture,
    ( ( ( xn = sdtasdt0(xr,sdtsldt0(xn,xr))
        & aNaturalNumber0(sdtsldt0(xn,xr)) )
     => ( sdtlseqdt0(sdtsldt0(xn,xr),xn)
        | ? [X0] :
            ( xn = sdtpldt0(sdtsldt0(xn,xr),X0)
            & aNaturalNumber0(X0) ) ) )
    & ~ ( xn = sdtsldt0(xn,xr)
        & xn = sdtasdt0(xr,sdtsldt0(xn,xr))
        & aNaturalNumber0(sdtsldt0(xn,xr)) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.UKm2AcSdK1/Vampire---4.8_16066',m__) ).

fof(f807,plain,
    sF20 = sdtasdt0(xr,xn),
    inference(superposition,[],[f354,f803]) ).

fof(f803,plain,
    xn = sF19,
    inference(resolution,[],[f801,f353]) ).

fof(f353,plain,
    ( ~ sdtlseqdt0(sF19,xn)
    | xn = sF19 ),
    inference(definition_folding,[],[f277,f352,f352]) ).

fof(f277,plain,
    ( ~ sdtlseqdt0(sdtsldt0(xn,xr),xn)
    | xn = sdtsldt0(xn,xr) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f801,plain,
    sdtlseqdt0(sF19,xn),
    inference(forward_demodulation,[],[f800,f368]) ).

fof(f800,plain,
    sdtlseqdt0(sF19,sF20),
    inference(subsumption_resolution,[],[f799,f236]) ).

fof(f799,plain,
    ( sdtlseqdt0(sF19,sF20)
    | ~ aNaturalNumber0(xr) ),
    inference(subsumption_resolution,[],[f798,f367]) ).

fof(f367,plain,
    aNaturalNumber0(sF19),
    inference(duplicate_literal_removal,[],[f365]) ).

fof(f365,plain,
    ( aNaturalNumber0(sF19)
    | aNaturalNumber0(sF19) ),
    inference(definition_folding,[],[f266,f352,f352]) ).

fof(f266,plain,
    ( aNaturalNumber0(sdtsldt0(xn,xr))
    | aNaturalNumber0(sdtsldt0(xn,xr)) ),
    inference(cnf_transformation,[],[f73]) ).

fof(f798,plain,
    ( sdtlseqdt0(sF19,sF20)
    | ~ aNaturalNumber0(sF19)
    | ~ aNaturalNumber0(xr) ),
    inference(subsumption_resolution,[],[f762,f240]) ).

fof(f240,plain,
    sz00 != xr,
    inference(cnf_transformation,[],[f153]) ).

fof(f762,plain,
    ( sdtlseqdt0(sF19,sF20)
    | sz00 = xr
    | ~ aNaturalNumber0(sF19)
    | ~ aNaturalNumber0(xr) ),
    inference(superposition,[],[f720,f354]) ).

fof(f720,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X0,sdtasdt0(X1,X0))
      | sz00 = X1
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(duplicate_literal_removal,[],[f701]) ).

fof(f701,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X0,sdtasdt0(X1,X0))
      | sz00 = X1
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X1) ),
    inference(superposition,[],[f322,f303]) ).

fof(f322,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,sdtasdt0(X1,X0))
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f118]) ).

fof(f118,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,sdtasdt0(X1,X0))
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f117]) ).

fof(f117,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/sandbox2/tmp/tmp.UKm2AcSdK1/Vampire---4.8_16066',mMonMul2) ).

fof(f374,plain,
    ! [X2,X0] :
      ( sdtsldt0(sdtasdt0(X0,X2),X0) = X2
      | ~ aNaturalNumber0(X2)
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(subsumption_resolution,[],[f373,f304]) ).

fof(f304,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f102]) ).

fof(f102,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f101]) ).

fof(f101,plain,
    ! [X0,X1] :
      ( aNaturalNumber0(sdtasdt0(X0,X1))
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => aNaturalNumber0(sdtasdt0(X0,X1)) ),
    file('/export/starexec/sandbox2/tmp/tmp.UKm2AcSdK1/Vampire---4.8_16066',mSortsB_02) ).

fof(f373,plain,
    ! [X2,X0] :
      ( sdtsldt0(sdtasdt0(X0,X2),X0) = X2
      | ~ aNaturalNumber0(X2)
      | sz00 = X0
      | ~ aNaturalNumber0(sdtasdt0(X0,X2))
      | ~ aNaturalNumber0(X0) ),
    inference(subsumption_resolution,[],[f349,f369]) ).

fof(f369,plain,
    ! [X2,X0] :
      ( doDivides0(X0,sdtasdt0(X0,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X0) ),
    inference(subsumption_resolution,[],[f344,f304]) ).

fof(f344,plain,
    ! [X2,X0] :
      ( doDivides0(X0,sdtasdt0(X0,X2))
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(sdtasdt0(X0,X2))
      | ~ aNaturalNumber0(X0) ),
    inference(equality_resolution,[],[f311]) ).

fof(f311,plain,
    ! [X2,X0,X1] :
      ( doDivides0(X0,X1)
      | sdtasdt0(X0,X2) != X1
      | ~ aNaturalNumber0(X2)
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f167]) ).

fof(f167,plain,
    ! [X0,X1] :
      ( ( ( doDivides0(X0,X1)
          | ! [X2] :
              ( sdtasdt0(X0,X2) != X1
              | ~ aNaturalNumber0(X2) ) )
        & ( ( sdtasdt0(X0,sK15(X0,X1)) = X1
            & aNaturalNumber0(sK15(X0,X1)) )
          | ~ doDivides0(X0,X1) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f165,f166]) ).

fof(f166,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( sdtasdt0(X0,X3) = X1
          & aNaturalNumber0(X3) )
     => ( sdtasdt0(X0,sK15(X0,X1)) = X1
        & aNaturalNumber0(sK15(X0,X1)) ) ),
    introduced(choice_axiom,[]) ).

fof(f165,plain,
    ! [X0,X1] :
      ( ( ( doDivides0(X0,X1)
          | ! [X2] :
              ( sdtasdt0(X0,X2) != X1
              | ~ aNaturalNumber0(X2) ) )
        & ( ? [X3] :
              ( sdtasdt0(X0,X3) = X1
              & aNaturalNumber0(X3) )
          | ~ doDivides0(X0,X1) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(rectify,[],[f164]) ).

fof(f164,plain,
    ! [X0,X1] :
      ( ( ( doDivides0(X0,X1)
          | ! [X2] :
              ( sdtasdt0(X0,X2) != X1
              | ~ aNaturalNumber0(X2) ) )
        & ( ? [X2] :
              ( sdtasdt0(X0,X2) = X1
              & aNaturalNumber0(X2) )
          | ~ doDivides0(X0,X1) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(nnf_transformation,[],[f112]) ).

fof(f112,plain,
    ! [X0,X1] :
      ( ( doDivides0(X0,X1)
      <=> ? [X2] :
            ( sdtasdt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f111]) ).

fof(f111,plain,
    ! [X0,X1] :
      ( ( doDivides0(X0,X1)
      <=> ? [X2] :
            ( sdtasdt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f30]) ).

fof(f30,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( doDivides0(X0,X1)
      <=> ? [X2] :
            ( sdtasdt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.UKm2AcSdK1/Vampire---4.8_16066',mDefDiv) ).

fof(f349,plain,
    ! [X2,X0] :
      ( sdtsldt0(sdtasdt0(X0,X2),X0) = X2
      | ~ aNaturalNumber0(X2)
      | ~ doDivides0(X0,sdtasdt0(X0,X2))
      | sz00 = X0
      | ~ aNaturalNumber0(sdtasdt0(X0,X2))
      | ~ aNaturalNumber0(X0) ),
    inference(equality_resolution,[],[f342]) ).

fof(f342,plain,
    ! [X2,X0,X1] :
      ( sdtsldt0(X1,X0) = X2
      | sdtasdt0(X0,X2) != X1
      | ~ aNaturalNumber0(X2)
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f180]) ).

fof(f180,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( sdtsldt0(X1,X0) = X2
            | sdtasdt0(X0,X2) != X1
            | ~ aNaturalNumber0(X2) )
          & ( ( sdtasdt0(X0,X2) = X1
              & aNaturalNumber0(X2) )
            | sdtsldt0(X1,X0) != X2 ) )
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f179]) ).

fof(f179,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( ( sdtsldt0(X1,X0) = X2
            | sdtasdt0(X0,X2) != X1
            | ~ aNaturalNumber0(X2) )
          & ( ( sdtasdt0(X0,X2) = X1
              & aNaturalNumber0(X2) )
            | sdtsldt0(X1,X0) != X2 ) )
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(nnf_transformation,[],[f135]) ).

fof(f135,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( sdtsldt0(X1,X0) = X2
        <=> ( sdtasdt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(flattening,[],[f134]) ).

fof(f134,plain,
    ! [X0,X1] :
      ( ! [X2] :
          ( sdtsldt0(X1,X0) = X2
        <=> ( sdtasdt0(X0,X2) = X1
            & aNaturalNumber0(X2) ) )
      | ~ doDivides0(X0,X1)
      | sz00 = X0
      | ~ aNaturalNumber0(X1)
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f31]) ).

fof(f31,axiom,
    ! [X0,X1] :
      ( ( aNaturalNumber0(X1)
        & aNaturalNumber0(X0) )
     => ( ( doDivides0(X0,X1)
          & sz00 != X0 )
       => ! [X2] :
            ( sdtsldt0(X1,X0) = X2
          <=> ( sdtasdt0(X0,X2) = X1
              & aNaturalNumber0(X2) ) ) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.UKm2AcSdK1/Vampire---4.8_16066',mDefQuot) ).

fof(f1338,plain,
    ! [X0] :
      ( sz10 = sdtsldt0(X0,X0)
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(subsumption_resolution,[],[f1333,f288]) ).

fof(f288,plain,
    aNaturalNumber0(sz10),
    inference(cnf_transformation,[],[f3]) ).

fof(f3,axiom,
    ( sz00 != sz10
    & aNaturalNumber0(sz10) ),
    file('/export/starexec/sandbox2/tmp/tmp.UKm2AcSdK1/Vampire---4.8_16066',mSortsC_01) ).

fof(f1333,plain,
    ! [X0] :
      ( sz10 = sdtsldt0(X0,X0)
      | ~ aNaturalNumber0(sz10)
      | sz00 = X0
      | ~ aNaturalNumber0(X0) ),
    inference(duplicate_literal_removal,[],[f1311]) ).

fof(f1311,plain,
    ! [X0] :
      ( sz10 = sdtsldt0(X0,X0)
      | ~ aNaturalNumber0(sz10)
      | sz00 = X0
      | ~ aNaturalNumber0(X0)
      | ~ aNaturalNumber0(X0) ),
    inference(superposition,[],[f374,f286]) ).

fof(f286,plain,
    ! [X0] :
      ( sdtasdt0(X0,sz10) = X0
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f81]) ).

fof(f81,plain,
    ! [X0] :
      ( ( sdtasdt0(sz10,X0) = X0
        & sdtasdt0(X0,sz10) = X0 )
      | ~ aNaturalNumber0(X0) ),
    inference(ennf_transformation,[],[f11]) ).

fof(f11,axiom,
    ! [X0] :
      ( aNaturalNumber0(X0)
     => ( sdtasdt0(sz10,X0) = X0
        & sdtasdt0(X0,sz10) = X0 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.UKm2AcSdK1/Vampire---4.8_16066',m_MulUnit) ).

fof(f218,plain,
    ~ sdtlseqdt0(xp,xn),
    inference(cnf_transformation,[],[f67]) ).

fof(f67,plain,
    ( ~ sdtlseqdt0(xp,xn)
    & ! [X0] :
        ( xn != sdtpldt0(xp,X0)
        | ~ aNaturalNumber0(X0) ) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f42,axiom,
    ~ ( sdtlseqdt0(xp,xn)
      | ? [X0] :
          ( xn = sdtpldt0(xp,X0)
          & aNaturalNumber0(X0) ) ),
    file('/export/starexec/sandbox2/tmp/tmp.UKm2AcSdK1/Vampire---4.8_16066',m__1870) ).

fof(f1673,plain,
    ( sdtlseqdt0(xp,sz00)
    | ~ aNaturalNumber0(xm) ),
    inference(superposition,[],[f1542,f282]) ).

fof(f282,plain,
    ! [X0] :
      ( sz00 = sdtasdt0(sz00,X0)
      | ~ aNaturalNumber0(X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f78,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/sandbox2/tmp/tmp.UKm2AcSdK1/Vampire---4.8_16066',m_MulZero) ).

fof(f1542,plain,
    sdtlseqdt0(xp,sdtasdt0(sz00,xm)),
    inference(subsumption_resolution,[],[f1541,f232]) ).

fof(f232,plain,
    sz00 != xk,
    inference(cnf_transformation,[],[f69]) ).

fof(f69,plain,
    ( sz10 != xk
    & sz00 != xk ),
    inference(ennf_transformation,[],[f46]) ).

fof(f46,axiom,
    ~ ( sz10 = xk
      | sz00 = xk ),
    file('/export/starexec/sandbox2/tmp/tmp.UKm2AcSdK1/Vampire---4.8_16066',m__2315) ).

fof(f1541,plain,
    ( sz00 = xk
    | sdtlseqdt0(xp,sdtasdt0(sz00,xm)) ),
    inference(forward_demodulation,[],[f1494,f1347]) ).

fof(f1347,plain,
    xk = sK5,
    inference(forward_demodulation,[],[f1346,f231]) ).

fof(f231,plain,
    xk = sdtsldt0(sdtasdt0(xn,xm),xp),
    inference(cnf_transformation,[],[f45]) ).

fof(f45,axiom,
    ( xk = sdtsldt0(sdtasdt0(xn,xm),xp)
    & sdtasdt0(xn,xm) = sdtasdt0(xp,xk)
    & aNaturalNumber0(xk) ),
    file('/export/starexec/sandbox2/tmp/tmp.UKm2AcSdK1/Vampire---4.8_16066',m__2306) ).

fof(f1346,plain,
    sdtsldt0(sdtasdt0(xn,xm),xp) = sK5,
    inference(subsumption_resolution,[],[f1345,f183]) ).

fof(f183,plain,
    aNaturalNumber0(xp),
    inference(cnf_transformation,[],[f39]) ).

fof(f1345,plain,
    ( sdtsldt0(sdtasdt0(xn,xm),xp) = sK5
    | ~ aNaturalNumber0(xp) ),
    inference(subsumption_resolution,[],[f1344,f209]) ).

fof(f209,plain,
    sz00 != xp,
    inference(cnf_transformation,[],[f148]) ).

fof(f148,plain,
    ( doDivides0(xp,sdtasdt0(xn,xm))
    & sdtasdt0(xn,xm) = sdtasdt0(xp,sK5)
    & aNaturalNumber0(sK5)
    & 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,[sK5])],[f66,f147]) ).

fof(f147,plain,
    ( ? [X0] :
        ( sdtasdt0(xn,xm) = sdtasdt0(xp,X0)
        & aNaturalNumber0(X0) )
   => ( sdtasdt0(xn,xm) = sdtasdt0(xp,sK5)
      & aNaturalNumber0(sK5) ) ),
    introduced(choice_axiom,[]) ).

fof(f66,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,[],[f65]) ).

fof(f65,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,[],[f56]) ).

fof(f56,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/sandbox2/tmp/tmp.UKm2AcSdK1/Vampire---4.8_16066',m__1860) ).

fof(f1344,plain,
    ( sdtsldt0(sdtasdt0(xn,xm),xp) = sK5
    | sz00 = xp
    | ~ aNaturalNumber0(xp) ),
    inference(subsumption_resolution,[],[f1316,f214]) ).

fof(f214,plain,
    aNaturalNumber0(sK5),
    inference(cnf_transformation,[],[f148]) ).

fof(f1316,plain,
    ( sdtsldt0(sdtasdt0(xn,xm),xp) = sK5
    | ~ aNaturalNumber0(sK5)
    | sz00 = xp
    | ~ aNaturalNumber0(xp) ),
    inference(superposition,[],[f374,f215]) ).

fof(f215,plain,
    sdtasdt0(xn,xm) = sdtasdt0(xp,sK5),
    inference(cnf_transformation,[],[f148]) ).

fof(f1494,plain,
    ( sdtlseqdt0(xp,sdtasdt0(sz00,xm))
    | sz00 = sK5 ),
    inference(superposition,[],[f724,f1470]) ).

fof(f724,plain,
    ( sdtlseqdt0(xp,sdtasdt0(xn,xm))
    | sz00 = sK5 ),
    inference(subsumption_resolution,[],[f723,f214]) ).

fof(f723,plain,
    ( sdtlseqdt0(xp,sdtasdt0(xn,xm))
    | sz00 = sK5
    | ~ aNaturalNumber0(sK5) ),
    inference(subsumption_resolution,[],[f705,f183]) ).

fof(f705,plain,
    ( sdtlseqdt0(xp,sdtasdt0(xn,xm))
    | sz00 = sK5
    | ~ aNaturalNumber0(xp)
    | ~ aNaturalNumber0(sK5) ),
    inference(superposition,[],[f322,f215]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.14  % Problem    : NUM510+3 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.13/0.37  % Computer : n007.cluster.edu
% 0.13/0.37  % Model    : x86_64 x86_64
% 0.13/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37  % Memory   : 8042.1875MB
% 0.13/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.37  % CPULimit   : 300
% 0.13/0.37  % WCLimit    : 300
% 0.13/0.37  % DateTime   : Fri May  3 14:57:23 EDT 2024
% 0.13/0.37  % CPUTime    : 
% 0.13/0.37  This is a FOF_THM_RFO_SEQ problem
% 0.13/0.37  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.UKm2AcSdK1/Vampire---4.8_16066
% 0.53/0.73  % (16174)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  % (16176)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  % (16175)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  % (16177)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  % (16178)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  % (16179)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  % (16180)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  % (16181)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)
% 0.53/0.74  % (16174)Instruction limit reached!
% 0.53/0.74  % (16174)------------------------------
% 0.53/0.74  % (16174)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.53/0.74  % (16174)Termination reason: Unknown
% 0.53/0.74  % (16174)Termination phase: Saturation
% 0.53/0.74  
% 0.53/0.74  % (16174)Memory used [KB]: 1443
% 0.53/0.74  % (16174)Time elapsed: 0.012 s
% 0.53/0.74  % (16174)Instructions burned: 34 (million)
% 0.53/0.74  % (16174)------------------------------
% 0.53/0.74  % (16174)------------------------------
% 0.55/0.75  % (16182)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)
% 0.55/0.75  % (16177)Instruction limit reached!
% 0.55/0.75  % (16177)------------------------------
% 0.55/0.75  % (16177)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (16178)Instruction limit reached!
% 0.55/0.75  % (16178)------------------------------
% 0.55/0.75  % (16178)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.75  % (16178)Termination reason: Unknown
% 0.55/0.75  % (16178)Termination phase: Saturation
% 0.55/0.75  
% 0.55/0.75  % (16178)Memory used [KB]: 1702
% 0.55/0.75  % (16178)Time elapsed: 0.018 s
% 0.55/0.75  % (16178)Instructions burned: 34 (million)
% 0.55/0.75  % (16178)------------------------------
% 0.55/0.75  % (16178)------------------------------
% 0.55/0.75  % (16177)Termination reason: Unknown
% 0.55/0.75  % (16177)Termination phase: Saturation
% 0.55/0.75  
% 0.55/0.75  % (16177)Memory used [KB]: 1756
% 0.55/0.75  % (16177)Time elapsed: 0.018 s
% 0.55/0.75  % (16177)Instructions burned: 35 (million)
% 0.55/0.75  % (16177)------------------------------
% 0.55/0.75  % (16177)------------------------------
% 0.55/0.75  % (16184)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)
% 0.55/0.76  % (16179)Instruction limit reached!
% 0.55/0.76  % (16179)------------------------------
% 0.55/0.76  % (16179)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76  % (16179)Termination reason: Unknown
% 0.55/0.76  % (16179)Termination phase: Saturation
% 0.55/0.76  
% 0.55/0.76  % (16179)Memory used [KB]: 1619
% 0.55/0.76  % (16179)Time elapsed: 0.024 s
% 0.55/0.76  % (16179)Instructions burned: 45 (million)
% 0.55/0.76  % (16179)------------------------------
% 0.55/0.76  % (16179)------------------------------
% 0.55/0.76  % (16182)Instruction limit reached!
% 0.55/0.76  % (16182)------------------------------
% 0.55/0.76  % (16182)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76  % (16182)Termination reason: Unknown
% 0.55/0.76  % (16182)Termination phase: Saturation
% 0.55/0.76  
% 0.55/0.76  % (16182)Memory used [KB]: 1352
% 0.55/0.76  % (16182)Time elapsed: 0.013 s
% 0.55/0.76  % (16182)Instructions burned: 56 (million)
% 0.55/0.76  % (16182)------------------------------
% 0.55/0.76  % (16182)------------------------------
% 0.55/0.76  % (16175)Instruction limit reached!
% 0.55/0.76  % (16175)------------------------------
% 0.55/0.76  % (16175)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76  % (16175)Termination reason: Unknown
% 0.55/0.76  % (16175)Termination phase: Saturation
% 0.55/0.76  
% 0.55/0.76  % (16175)Memory used [KB]: 1780
% 0.55/0.76  % (16175)Time elapsed: 0.028 s
% 0.55/0.76  % (16175)Instructions burned: 51 (million)
% 0.55/0.76  % (16175)------------------------------
% 0.55/0.76  % (16175)------------------------------
% 0.55/0.76  % (16183)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)
% 0.55/0.76  % (16186)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)
% 0.55/0.76  % (16185)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)
% 0.55/0.76  % (16181)Instruction limit reached!
% 0.55/0.76  % (16181)------------------------------
% 0.55/0.76  % (16181)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.76  % (16181)Termination reason: Unknown
% 0.55/0.76  % (16181)Termination phase: Saturation
% 0.55/0.76  
% 0.55/0.76  % (16181)Memory used [KB]: 1762
% 0.55/0.76  % (16181)Time elapsed: 0.032 s
% 0.55/0.76  % (16181)Instructions burned: 56 (million)
% 0.55/0.76  % (16181)------------------------------
% 0.55/0.76  % (16181)------------------------------
% 0.55/0.77  % (16187)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)
% 0.55/0.77  % (16188)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)
% 0.55/0.77  % (16180)Instruction limit reached!
% 0.55/0.77  % (16180)------------------------------
% 0.55/0.77  % (16180)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.77  % (16180)Termination reason: Unknown
% 0.55/0.77  % (16180)Termination phase: Saturation
% 0.55/0.77  
% 0.55/0.77  % (16180)Memory used [KB]: 1936
% 0.55/0.77  % (16180)Time elapsed: 0.038 s
% 0.55/0.77  % (16180)Instructions burned: 83 (million)
% 0.55/0.77  % (16180)------------------------------
% 0.55/0.77  % (16180)------------------------------
% 0.55/0.77  % (16176)Instruction limit reached!
% 0.55/0.77  % (16176)------------------------------
% 0.55/0.77  % (16176)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.77  % (16176)Termination reason: Unknown
% 0.55/0.77  % (16176)Termination phase: Saturation
% 0.55/0.77  
% 0.55/0.77  % (16176)Memory used [KB]: 1863
% 0.55/0.77  % (16176)Time elapsed: 0.039 s
% 0.55/0.77  % (16176)Instructions burned: 78 (million)
% 0.55/0.77  % (16176)------------------------------
% 0.55/0.77  % (16176)------------------------------
% 0.55/0.77  % (16190)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 (2996ds/143Mi)
% 0.55/0.78  % (16189)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 (2996ds/117Mi)
% 0.55/0.78  % (16187)Instruction limit reached!
% 0.55/0.78  % (16187)------------------------------
% 0.55/0.78  % (16187)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.78  % (16187)Termination reason: Unknown
% 0.55/0.78  % (16187)Termination phase: Saturation
% 0.55/0.78  
% 0.55/0.78  % (16187)Memory used [KB]: 1394
% 0.55/0.78  % (16187)Time elapsed: 0.018 s
% 0.55/0.78  % (16187)Instructions burned: 44 (million)
% 0.55/0.78  % (16187)------------------------------
% 0.55/0.78  % (16187)------------------------------
% 0.55/0.78  % (16183)Instruction limit reached!
% 0.55/0.78  % (16183)------------------------------
% 0.55/0.78  % (16183)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.78  % (16183)Termination reason: Unknown
% 0.55/0.78  % (16183)Termination phase: Saturation
% 0.55/0.78  
% 0.55/0.78  % (16183)Memory used [KB]: 1583
% 0.55/0.78  % (16183)Time elapsed: 0.025 s
% 0.55/0.78  % (16183)Instructions burned: 51 (million)
% 0.55/0.78  % (16183)------------------------------
% 0.55/0.78  % (16183)------------------------------
% 0.55/0.79  % (16192)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)
% 0.55/0.79  % (16191)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)
% 0.55/0.79  % (16185)Instruction limit reached!
% 0.55/0.79  % (16185)------------------------------
% 0.55/0.79  % (16185)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.79  % (16185)Termination reason: Unknown
% 0.55/0.79  % (16185)Termination phase: Saturation
% 0.55/0.79  
% 0.55/0.79  % (16185)Memory used [KB]: 1704
% 0.55/0.79  % (16185)Time elapsed: 0.029 s
% 0.55/0.79  % (16185)Instructions burned: 53 (million)
% 0.55/0.79  % (16185)------------------------------
% 0.55/0.79  % (16185)------------------------------
% 0.55/0.80  % (16193)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)
% 0.55/0.81  % (16192)Instruction limit reached!
% 0.55/0.81  % (16192)------------------------------
% 0.55/0.81  % (16192)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.81  % (16192)Termination reason: Unknown
% 0.55/0.81  % (16192)Termination phase: Saturation
% 0.55/0.81  
% 0.55/0.81  % (16192)Memory used [KB]: 1396
% 0.55/0.81  % (16192)Time elapsed: 0.025 s
% 0.55/0.81  % (16192)Instructions burned: 64 (million)
% 0.55/0.81  % (16192)------------------------------
% 0.55/0.81  % (16192)------------------------------
% 0.55/0.81  % (16193)Instruction limit reached!
% 0.55/0.81  % (16193)------------------------------
% 0.55/0.81  % (16193)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.81  % (16193)Termination reason: Unknown
% 0.55/0.81  % (16193)Termination phase: Saturation
% 0.55/0.81  
% 0.55/0.81  % (16193)Memory used [KB]: 1382
% 0.55/0.81  % (16193)Time elapsed: 0.017 s
% 0.55/0.81  % (16193)Instructions burned: 32 (million)
% 0.55/0.81  % (16193)------------------------------
% 0.55/0.81  % (16193)------------------------------
% 0.55/0.81  % (16195)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)
% 0.55/0.82  % (16194)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)
% 0.55/0.83  % (16189)Instruction limit reached!
% 0.55/0.83  % (16189)------------------------------
% 0.55/0.83  % (16189)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.83  % (16189)Termination reason: Unknown
% 0.55/0.83  % (16189)Termination phase: Saturation
% 0.55/0.83  
% 0.55/0.83  % (16189)Memory used [KB]: 2216
% 0.55/0.83  % (16189)Time elapsed: 0.060 s
% 0.55/0.83  % (16189)Instructions burned: 118 (million)
% 0.55/0.83  % (16189)------------------------------
% 0.55/0.83  % (16189)------------------------------
% 0.55/0.84  % (16191)Instruction limit reached!
% 0.55/0.84  % (16191)------------------------------
% 0.55/0.84  % (16191)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.84  % (16191)Termination reason: Unknown
% 0.55/0.84  % (16191)Termination phase: Saturation
% 0.55/0.84  
% 0.55/0.84  % (16191)Memory used [KB]: 2121
% 0.55/0.84  % (16191)Time elapsed: 0.049 s
% 0.55/0.84  % (16191)Instructions burned: 94 (million)
% 0.55/0.84  % (16191)------------------------------
% 0.55/0.84  % (16191)------------------------------
% 0.55/0.84  % (16190)Instruction limit reached!
% 0.55/0.84  % (16190)------------------------------
% 0.55/0.84  % (16190)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.55/0.84  % (16190)Termination reason: Unknown
% 0.55/0.84  % (16190)Termination phase: Saturation
% 0.55/0.84  
% 0.55/0.84  % (16190)Memory used [KB]: 2145
% 0.55/0.84  % (16190)Time elapsed: 0.064 s
% 0.55/0.84  % (16190)Instructions burned: 143 (million)
% 0.55/0.84  % (16190)------------------------------
% 0.55/0.84  % (16190)------------------------------
% 1.08/0.84  % (16195)Instruction limit reached!
% 1.08/0.84  % (16195)------------------------------
% 1.08/0.84  % (16195)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.08/0.84  % (16197)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)
% 1.08/0.84  % (16195)Termination reason: Unknown
% 1.08/0.84  % (16195)Termination phase: Saturation
% 1.08/0.84  
% 1.08/0.84  % (16195)Memory used [KB]: 2129
% 1.08/0.84  % (16195)Time elapsed: 0.027 s
% 1.08/0.84  % (16195)Instructions burned: 56 (million)
% 1.08/0.84  % (16195)------------------------------
% 1.08/0.84  % (16195)------------------------------
% 1.08/0.84  % (16198)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)
% 1.08/0.84  % (16199)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)
% 1.08/0.85  % (16196)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)
% 1.08/0.86  % (16184)Instruction limit reached!
% 1.08/0.86  % (16184)------------------------------
% 1.08/0.86  % (16184)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.08/0.86  % (16184)Termination reason: Unknown
% 1.08/0.86  % (16184)Termination phase: Saturation
% 1.08/0.86  
% 1.08/0.86  % (16184)Memory used [KB]: 2588
% 1.08/0.86  % (16184)Time elapsed: 0.104 s
% 1.08/0.86  % (16184)Instructions burned: 209 (million)
% 1.08/0.86  % (16184)------------------------------
% 1.08/0.86  % (16184)------------------------------
% 1.08/0.86  % (16199)Instruction limit reached!
% 1.08/0.86  % (16199)------------------------------
% 1.08/0.86  % (16199)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.08/0.86  % (16199)Termination reason: Unknown
% 1.08/0.86  % (16199)Termination phase: Saturation
% 1.08/0.86  
% 1.08/0.86  % (16199)Memory used [KB]: 1265
% 1.08/0.86  % (16199)Time elapsed: 0.017 s
% 1.08/0.86  % (16199)Instructions burned: 35 (million)
% 1.08/0.86  % (16199)------------------------------
% 1.08/0.86  % (16199)------------------------------
% 1.08/0.86  % (16201)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)
% 1.08/0.86  % (16200)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)
% 1.08/0.86  % (16197)Instruction limit reached!
% 1.08/0.86  % (16197)------------------------------
% 1.08/0.86  % (16197)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.08/0.86  % (16197)Termination reason: Unknown
% 1.08/0.86  % (16197)Termination phase: Saturation
% 1.08/0.86  
% 1.08/0.86  % (16197)Memory used [KB]: 2056
% 1.08/0.86  % (16197)Time elapsed: 0.027 s
% 1.08/0.86  % (16197)Instructions burned: 47 (million)
% 1.08/0.86  % (16197)------------------------------
% 1.08/0.86  % (16197)------------------------------
% 1.08/0.87  % (16196)Instruction limit reached!
% 1.08/0.87  % (16196)------------------------------
% 1.08/0.87  % (16196)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.08/0.87  % (16196)Termination reason: Unknown
% 1.08/0.87  % (16196)Termination phase: Saturation
% 1.08/0.87  
% 1.08/0.87  % (16196)Memory used [KB]: 1815
% 1.08/0.87  % (16196)Time elapsed: 0.026 s
% 1.08/0.87  % (16196)Instructions burned: 54 (million)
% 1.08/0.87  % (16196)------------------------------
% 1.08/0.87  % (16196)------------------------------
% 1.08/0.87  % (16202)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 (2995ds/161Mi)
% 1.08/0.88  % (16203)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 (2995ds/69Mi)
% 1.29/0.89  % (16198)Instruction limit reached!
% 1.29/0.89  % (16198)------------------------------
% 1.29/0.89  % (16198)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.29/0.89  % (16198)Termination reason: Unknown
% 1.29/0.89  % (16198)Termination phase: Saturation
% 1.29/0.89  
% 1.29/0.89  % (16198)Memory used [KB]: 3144
% 1.29/0.89  % (16198)Time elapsed: 0.054 s
% 1.29/0.89  % (16198)Instructions burned: 103 (million)
% 1.29/0.89  % (16198)------------------------------
% 1.29/0.89  % (16198)------------------------------
% 1.29/0.90  % (16188)Instruction limit reached!
% 1.29/0.90  % (16188)------------------------------
% 1.29/0.90  % (16188)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.29/0.90  % (16188)Termination reason: Unknown
% 1.29/0.90  % (16188)Termination phase: Saturation
% 1.29/0.90  
% 1.29/0.90  % (16188)Memory used [KB]: 2590
% 1.29/0.90  % (16188)Time elapsed: 0.131 s
% 1.29/0.90  % (16188)Instructions burned: 244 (million)
% 1.29/0.90  % (16188)------------------------------
% 1.29/0.90  % (16188)------------------------------
% 1.29/0.90  % (16204)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)
% 1.29/0.90  % (16200)Instruction limit reached!
% 1.29/0.90  % (16200)------------------------------
% 1.29/0.90  % (16200)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.29/0.90  % (16200)Termination reason: Unknown
% 1.29/0.90  % (16200)Termination phase: Saturation
% 1.29/0.90  
% 1.29/0.90  % (16200)Memory used [KB]: 2333
% 1.29/0.90  % (16200)Time elapsed: 0.064 s
% 1.29/0.90  % (16200)Instructions burned: 88 (million)
% 1.29/0.90  % (16200)------------------------------
% 1.29/0.90  % (16200)------------------------------
% 1.29/0.90  % (16203)Instruction limit reached!
% 1.29/0.90  % (16203)------------------------------
% 1.29/0.90  % (16203)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.29/0.90  % (16203)Termination reason: Unknown
% 1.29/0.90  % (16203)Termination phase: Saturation
% 1.29/0.90  
% 1.29/0.90  % (16203)Memory used [KB]: 2237
% 1.29/0.90  % (16203)Time elapsed: 0.053 s
% 1.29/0.90  % (16203)Instructions burned: 69 (million)
% 1.29/0.90  % (16203)------------------------------
% 1.29/0.90  % (16203)------------------------------
% 1.29/0.91  % (16205)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)
% 1.29/0.91  % (16206)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)
% 1.29/0.91  % (16207)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)
% 1.29/0.91  % (16201)Instruction limit reached!
% 1.29/0.91  % (16201)------------------------------
% 1.29/0.91  % (16201)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.29/0.91  % (16201)Termination reason: Unknown
% 1.29/0.91  % (16201)Termination phase: Saturation
% 1.29/0.91  
% 1.29/0.91  % (16201)Memory used [KB]: 2445
% 1.29/0.91  % (16201)Time elapsed: 0.053 s
% 1.29/0.91  % (16201)Instructions burned: 109 (million)
% 1.29/0.91  % (16201)------------------------------
% 1.29/0.91  % (16201)------------------------------
% 1.29/0.92  % (16208)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)
% 1.29/0.92  % (16204)Instruction limit reached!
% 1.29/0.92  % (16204)------------------------------
% 1.29/0.92  % (16204)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.29/0.92  % (16204)Termination reason: Unknown
% 1.29/0.92  % (16204)Termination phase: Saturation
% 1.29/0.92  
% 1.29/0.92  % (16204)Memory used [KB]: 1661
% 1.29/0.92  % (16204)Time elapsed: 0.047 s
% 1.29/0.92  % (16204)Instructions burned: 41 (million)
% 1.29/0.92  % (16204)------------------------------
% 1.29/0.92  % (16204)------------------------------
% 1.29/0.92  % (16207)First to succeed.
% 1.29/0.93  % (16207)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-16173"
% 1.29/0.93  % (16209)lrs+1011_1:2_drc=encompass:sil=4000:fde=unused:sos=on:sac=on:newcnf=on:i=55:sd=10:bd=off:ins=1:uhcvi=on:ss=axioms:spb=non_intro:st=3.0:erd=off:s2a=on:nwc=3.0_0 on Vampire---4 for (2994ds/55Mi)
% 1.29/0.93  % (16207)Refutation found. Thanks to Tanya!
% 1.29/0.93  % SZS status Theorem for Vampire---4
% 1.29/0.93  % SZS output start Proof for Vampire---4
% See solution above
% 1.29/0.93  % (16207)------------------------------
% 1.29/0.93  % (16207)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.29/0.93  % (16207)Termination reason: Refutation
% 1.29/0.93  
% 1.29/0.93  % (16207)Memory used [KB]: 1512
% 1.29/0.93  % (16207)Time elapsed: 0.046 s
% 1.29/0.93  % (16207)Instructions burned: 70 (million)
% 1.29/0.93  % (16173)Success in time 0.536 s
% 1.29/0.93  % Vampire---4.8 exiting
%------------------------------------------------------------------------------