TSTP Solution File: NUM556+3 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUM556+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n018.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 : Wed Aug 31 18:00:34 EDT 2022

% Result   : Theorem 2.18s 0.75s
% Output   : Refutation 2.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   79 (  25 unt;   0 def)
%            Number of atoms       :  300 (  57 equ)
%            Maximal formula atoms :   19 (   3 avg)
%            Number of connectives :  344 ( 123   ~; 110   |;  88   &)
%                                         (   7 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   15 (  15 usr;   9 con; 0-2 aty)
%            Number of variables   :   77 (  71   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1757,plain,
    $false,
    inference(subsumption_resolution,[],[f1716,f351]) ).

fof(f351,plain,
    aElementOf0(xx,xS),
    inference(cnf_transformation,[],[f64]) ).

fof(f64,axiom,
    aElementOf0(xx,xS),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2256) ).

fof(f1716,plain,
    ~ aElementOf0(xx,xS),
    inference(backward_demodulation,[],[f789,f1715]) ).

fof(f1715,plain,
    xx = sK5,
    inference(subsumption_resolution,[],[f1699,f813]) ).

fof(f813,plain,
    ~ aElementOf0(sK5,xQ),
    inference(unit_resulting_resolution,[],[f303,f416,f789,f411]) ).

fof(f411,plain,
    ! [X2,X0,X1] :
      ( ~ aSubsetOf0(X1,X0)
      | aElementOf0(X2,X0)
      | ~ aSet0(X0)
      | ~ aElementOf0(X2,X1) ),
    inference(cnf_transformation,[],[f256]) ).

fof(f256,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ! [X2] :
                  ( aElementOf0(X2,X0)
                  | ~ aElementOf0(X2,X1) )
              & aSet0(X1) )
            | ~ aSubsetOf0(X1,X0) )
          & ( aSubsetOf0(X1,X0)
            | ( ~ aElementOf0(sK19(X0,X1),X0)
              & aElementOf0(sK19(X0,X1),X1) )
            | ~ aSet0(X1) ) )
      | ~ aSet0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f254,f255]) ).

fof(f255,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( ~ aElementOf0(X3,X0)
          & aElementOf0(X3,X1) )
     => ( ~ aElementOf0(sK19(X0,X1),X0)
        & aElementOf0(sK19(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f254,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ! [X2] :
                  ( aElementOf0(X2,X0)
                  | ~ aElementOf0(X2,X1) )
              & aSet0(X1) )
            | ~ aSubsetOf0(X1,X0) )
          & ( aSubsetOf0(X1,X0)
            | ? [X3] :
                ( ~ aElementOf0(X3,X0)
                & aElementOf0(X3,X1) )
            | ~ aSet0(X1) ) )
      | ~ aSet0(X0) ),
    inference(rectify,[],[f253]) ).

fof(f253,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ! [X2] :
                  ( aElementOf0(X2,X0)
                  | ~ aElementOf0(X2,X1) )
              & aSet0(X1) )
            | ~ aSubsetOf0(X1,X0) )
          & ( aSubsetOf0(X1,X0)
            | ? [X2] :
                ( ~ aElementOf0(X2,X0)
                & aElementOf0(X2,X1) )
            | ~ aSet0(X1) ) )
      | ~ aSet0(X0) ),
    inference(flattening,[],[f252]) ).

fof(f252,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ! [X2] :
                  ( aElementOf0(X2,X0)
                  | ~ aElementOf0(X2,X1) )
              & aSet0(X1) )
            | ~ aSubsetOf0(X1,X0) )
          & ( aSubsetOf0(X1,X0)
            | ? [X2] :
                ( ~ aElementOf0(X2,X0)
                & aElementOf0(X2,X1) )
            | ~ aSet0(X1) ) )
      | ~ aSet0(X0) ),
    inference(nnf_transformation,[],[f116]) ).

fof(f116,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ! [X2] :
                ( aElementOf0(X2,X0)
                | ~ aElementOf0(X2,X1) )
            & aSet0(X1) )
        <=> aSubsetOf0(X1,X0) )
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f10,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ! [X1] :
          ( aSubsetOf0(X1,X0)
        <=> ( aSet0(X1)
            & ! [X2] :
                ( aElementOf0(X2,X1)
               => aElementOf0(X2,X0) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).

fof(f416,plain,
    aSubsetOf0(xQ,xS),
    inference(cnf_transformation,[],[f107]) ).

fof(f107,plain,
    ( aSet0(xQ)
    & aSubsetOf0(xQ,xS)
    & ! [X0] :
        ( ~ aElementOf0(X0,xQ)
        | aElementOf0(X0,xS) )
    & aElementOf0(xQ,slbdtsldtrb0(xS,xk))
    & xk = sbrdtbr0(xQ) ),
    inference(ennf_transformation,[],[f65]) ).

fof(f65,axiom,
    ( aSubsetOf0(xQ,xS)
    & aElementOf0(xQ,slbdtsldtrb0(xS,xk))
    & ! [X0] :
        ( aElementOf0(X0,xQ)
       => aElementOf0(X0,xS) )
    & aSet0(xQ)
    & xk = sbrdtbr0(xQ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2270) ).

fof(f303,plain,
    aSet0(xS),
    inference(cnf_transformation,[],[f62]) ).

fof(f62,axiom,
    ( aSet0(xS)
    & aSet0(xT)
    & sz00 != xk ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2202_02) ).

fof(f1699,plain,
    ( aElementOf0(sK5,xQ)
    | xx = sK5 ),
    inference(resolution,[],[f1212,f791]) ).

fof(f791,plain,
    aElementOf0(sK5,xP),
    inference(trivial_inequality_removal,[],[f764]) ).

fof(f764,plain,
    ( xk != xk
    | aElementOf0(sK5,xP) ),
    inference(backward_demodulation,[],[f277,f763]) ).

fof(f763,plain,
    xk = sbrdtbr0(xP),
    inference(forward_demodulation,[],[f762,f266]) ).

fof(f266,plain,
    xP = sdtpldt0(sdtmndt0(xQ,xy),xx),
    inference(cnf_transformation,[],[f192]) ).

fof(f192,plain,
    ( ! [X0] :
        ( ( ( aElement0(X0)
            & ( xx = X0
              | aElementOf0(X0,sdtmndt0(xQ,xy)) ) )
          | ~ aElementOf0(X0,xP) )
        & ( aElementOf0(X0,xP)
          | ~ aElement0(X0)
          | ( xx != X0
            & ~ aElementOf0(X0,sdtmndt0(xQ,xy)) ) ) )
    & aSet0(sdtmndt0(xQ,xy))
    & aSet0(xP)
    & ! [X1] :
        ( ( ( xy != X1
            & aElementOf0(X1,xQ)
            & aElement0(X1) )
          | ~ aElementOf0(X1,sdtmndt0(xQ,xy)) )
        & ( aElementOf0(X1,sdtmndt0(xQ,xy))
          | xy = X1
          | ~ aElementOf0(X1,xQ)
          | ~ aElement0(X1) ) )
    & xP = sdtpldt0(sdtmndt0(xQ,xy),xx) ),
    inference(flattening,[],[f191]) ).

fof(f191,plain,
    ( ! [X0] :
        ( ( ( aElement0(X0)
            & ( xx = X0
              | aElementOf0(X0,sdtmndt0(xQ,xy)) ) )
          | ~ aElementOf0(X0,xP) )
        & ( aElementOf0(X0,xP)
          | ~ aElement0(X0)
          | ( xx != X0
            & ~ aElementOf0(X0,sdtmndt0(xQ,xy)) ) ) )
    & aSet0(sdtmndt0(xQ,xy))
    & aSet0(xP)
    & ! [X1] :
        ( ( ( xy != X1
            & aElementOf0(X1,xQ)
            & aElement0(X1) )
          | ~ aElementOf0(X1,sdtmndt0(xQ,xy)) )
        & ( aElementOf0(X1,sdtmndt0(xQ,xy))
          | xy = X1
          | ~ aElementOf0(X1,xQ)
          | ~ aElement0(X1) ) )
    & xP = sdtpldt0(sdtmndt0(xQ,xy),xx) ),
    inference(nnf_transformation,[],[f84]) ).

fof(f84,plain,
    ( ! [X0] :
        ( ( aElement0(X0)
          & ( xx = X0
            | aElementOf0(X0,sdtmndt0(xQ,xy)) ) )
      <=> aElementOf0(X0,xP) )
    & aSet0(sdtmndt0(xQ,xy))
    & aSet0(xP)
    & ! [X1] :
        ( ( xy != X1
          & aElementOf0(X1,xQ)
          & aElement0(X1) )
      <=> aElementOf0(X1,sdtmndt0(xQ,xy)) )
    & xP = sdtpldt0(sdtmndt0(xQ,xy),xx) ),
    inference(rectify,[],[f70]) ).

fof(f70,axiom,
    ( aSet0(sdtmndt0(xQ,xy))
    & aSet0(xP)
    & xP = sdtpldt0(sdtmndt0(xQ,xy),xx)
    & ! [X0] :
        ( ( aElement0(X0)
          & ( xx = X0
            | aElementOf0(X0,sdtmndt0(xQ,xy)) ) )
      <=> aElementOf0(X0,xP) )
    & ! [X0] :
        ( aElementOf0(X0,sdtmndt0(xQ,xy))
      <=> ( aElementOf0(X0,xQ)
          & aElement0(X0)
          & xy != X0 ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2357) ).

fof(f762,plain,
    xk = sbrdtbr0(sdtpldt0(sdtmndt0(xQ,xy),xx)),
    inference(forward_demodulation,[],[f761,f509]) ).

fof(f509,plain,
    xk = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))),
    inference(forward_demodulation,[],[f508,f407]) ).

fof(f407,plain,
    xk = sbrdtbr0(xQ),
    inference(cnf_transformation,[],[f66]) ).

fof(f66,axiom,
    ( xk = sbrdtbr0(xQ)
    & isFinite0(xQ)
    & aSet0(xQ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2291) ).

fof(f508,plain,
    sbrdtbr0(xQ) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))),
    inference(subsumption_resolution,[],[f507,f405]) ).

fof(f405,plain,
    aSet0(xQ),
    inference(cnf_transformation,[],[f66]) ).

fof(f507,plain,
    ( ~ aSet0(xQ)
    | sbrdtbr0(xQ) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) ),
    inference(subsumption_resolution,[],[f503,f406]) ).

fof(f406,plain,
    isFinite0(xQ),
    inference(cnf_transformation,[],[f66]) ).

fof(f503,plain,
    ( ~ isFinite0(xQ)
    | ~ aSet0(xQ)
    | sbrdtbr0(xQ) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) ),
    inference(resolution,[],[f381,f265]) ).

fof(f265,plain,
    ! [X0,X1] :
      ( ~ aElementOf0(X1,X0)
      | ~ isFinite0(X0)
      | sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f158]) ).

fof(f158,plain,
    ! [X0] :
      ( ~ aSet0(X0)
      | ! [X1] :
          ( ~ aElementOf0(X1,X0)
          | ~ isFinite0(X0)
          | sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1))) ) ),
    inference(flattening,[],[f157]) ).

fof(f157,plain,
    ! [X0] :
      ( ! [X1] :
          ( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
          | ~ aElementOf0(X1,X0)
          | ~ isFinite0(X0) )
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f44]) ).

fof(f44,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ! [X1] :
          ( ( aElementOf0(X1,X0)
            & isFinite0(X0) )
         => sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardDiff) ).

fof(f381,plain,
    aElementOf0(xy,xQ),
    inference(cnf_transformation,[],[f67]) ).

fof(f67,axiom,
    ( aElementOf0(xy,xQ)
    & aElement0(xy) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2304) ).

fof(f761,plain,
    sbrdtbr0(sdtpldt0(sdtmndt0(xQ,xy),xx)) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))),
    inference(subsumption_resolution,[],[f760,f272]) ).

fof(f272,plain,
    aSet0(sdtmndt0(xQ,xy)),
    inference(cnf_transformation,[],[f192]) ).

fof(f760,plain,
    ( sbrdtbr0(sdtpldt0(sdtmndt0(xQ,xy),xx)) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy)))
    | ~ aSet0(sdtmndt0(xQ,xy)) ),
    inference(subsumption_resolution,[],[f759,f465]) ).

fof(f465,plain,
    isFinite0(sdtmndt0(xQ,xy)),
    inference(unit_resulting_resolution,[],[f380,f405,f406,f429]) ).

fof(f429,plain,
    ! [X0,X1] :
      ( isFinite0(sdtmndt0(X1,X0))
      | ~ aElement0(X0)
      | ~ aSet0(X1)
      | ~ isFinite0(X1) ),
    inference(cnf_transformation,[],[f161]) ).

fof(f161,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ aSet0(X1)
          | ~ isFinite0(X1)
          | isFinite0(sdtmndt0(X1,X0)) )
      | ~ aElement0(X0) ),
    inference(flattening,[],[f160]) ).

fof(f160,plain,
    ! [X0] :
      ( ! [X1] :
          ( isFinite0(sdtmndt0(X1,X0))
          | ~ isFinite0(X1)
          | ~ aSet0(X1) )
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f22]) ).

fof(f22,axiom,
    ! [X0] :
      ( aElement0(X0)
     => ! [X1] :
          ( ( isFinite0(X1)
            & aSet0(X1) )
         => isFinite0(sdtmndt0(X1,X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mFDiffSet) ).

fof(f380,plain,
    aElement0(xy),
    inference(cnf_transformation,[],[f67]) ).

fof(f759,plain,
    ( ~ isFinite0(sdtmndt0(xQ,xy))
    | ~ aSet0(sdtmndt0(xQ,xy))
    | sbrdtbr0(sdtpldt0(sdtmndt0(xQ,xy),xx)) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) ),
    inference(subsumption_resolution,[],[f753,f484]) ).

fof(f484,plain,
    aElement0(xx),
    inference(subsumption_resolution,[],[f479,f303]) ).

fof(f479,plain,
    ( aElement0(xx)
    | ~ aSet0(xS) ),
    inference(resolution,[],[f351,f332]) ).

fof(f332,plain,
    ! [X0,X1] :
      ( ~ aElementOf0(X1,X0)
      | aElement0(X1)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f155]) ).

fof(f155,plain,
    ! [X0] :
      ( ! [X1] :
          ( aElement0(X1)
          | ~ aElementOf0(X1,X0) )
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f3]) ).

fof(f3,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ! [X1] :
          ( aElementOf0(X1,X0)
         => aElement0(X1) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).

fof(f753,plain,
    ( sbrdtbr0(sdtpldt0(sdtmndt0(xQ,xy),xx)) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy)))
    | ~ aElement0(xx)
    | ~ isFinite0(sdtmndt0(xQ,xy))
    | ~ aSet0(sdtmndt0(xQ,xy)) ),
    inference(resolution,[],[f337,f420]) ).

fof(f420,plain,
    ! [X0,X1] :
      ( aElementOf0(X1,X0)
      | ~ aElement0(X1)
      | ~ isFinite0(X0)
      | ~ aSet0(X0)
      | sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0)) ),
    inference(cnf_transformation,[],[f170]) ).

fof(f170,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ aElement0(X1)
          | aElementOf0(X1,X0)
          | sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0)) )
      | ~ isFinite0(X0)
      | ~ aSet0(X0) ),
    inference(flattening,[],[f169]) ).

fof(f169,plain,
    ! [X0] :
      ( ! [X1] :
          ( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
          | aElementOf0(X1,X0)
          | ~ aElement0(X1) )
      | ~ isFinite0(X0)
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f43,axiom,
    ! [X0] :
      ( ( isFinite0(X0)
        & aSet0(X0) )
     => ! [X1] :
          ( aElement0(X1)
         => ( ~ aElementOf0(X1,X0)
           => sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardCons) ).

fof(f337,plain,
    ~ aElementOf0(xx,sdtmndt0(xQ,xy)),
    inference(cnf_transformation,[],[f214]) ).

fof(f214,plain,
    ( aSet0(sdtmndt0(xQ,xy))
    & ~ aElementOf0(xx,sdtmndt0(xQ,xy))
    & ! [X0] :
        ( ( ( aElementOf0(X0,xQ)
            & xy != X0
            & aElement0(X0) )
          | ~ aElementOf0(X0,sdtmndt0(xQ,xy)) )
        & ( aElementOf0(X0,sdtmndt0(xQ,xy))
          | ~ aElementOf0(X0,xQ)
          | xy = X0
          | ~ aElement0(X0) ) ) ),
    inference(flattening,[],[f213]) ).

fof(f213,plain,
    ( aSet0(sdtmndt0(xQ,xy))
    & ~ aElementOf0(xx,sdtmndt0(xQ,xy))
    & ! [X0] :
        ( ( ( aElementOf0(X0,xQ)
            & xy != X0
            & aElement0(X0) )
          | ~ aElementOf0(X0,sdtmndt0(xQ,xy)) )
        & ( aElementOf0(X0,sdtmndt0(xQ,xy))
          | ~ aElementOf0(X0,xQ)
          | xy = X0
          | ~ aElement0(X0) ) ) ),
    inference(nnf_transformation,[],[f71]) ).

fof(f71,axiom,
    ( aSet0(sdtmndt0(xQ,xy))
    & ~ aElementOf0(xx,sdtmndt0(xQ,xy))
    & ! [X0] :
        ( ( aElementOf0(X0,xQ)
          & xy != X0
          & aElement0(X0) )
      <=> aElementOf0(X0,sdtmndt0(xQ,xy)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2411) ).

fof(f277,plain,
    ( aElementOf0(sK5,xP)
    | xk != sbrdtbr0(xP) ),
    inference(cnf_transformation,[],[f194]) ).

fof(f194,plain,
    ( ( ~ aSubsetOf0(xP,xS)
      & ~ aElementOf0(sK5,xS)
      & aElementOf0(sK5,xP) )
    | xk != sbrdtbr0(xP) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f150,f193]) ).

fof(f193,plain,
    ( ? [X0] :
        ( ~ aElementOf0(X0,xS)
        & aElementOf0(X0,xP) )
   => ( ~ aElementOf0(sK5,xS)
      & aElementOf0(sK5,xP) ) ),
    introduced(choice_axiom,[]) ).

fof(f150,plain,
    ( ( ~ aSubsetOf0(xP,xS)
      & ? [X0] :
          ( ~ aElementOf0(X0,xS)
          & aElementOf0(X0,xP) ) )
    | xk != sbrdtbr0(xP) ),
    inference(ennf_transformation,[],[f73]) ).

fof(f73,negated_conjecture,
    ~ ( ( ! [X0] :
            ( aElementOf0(X0,xP)
           => aElementOf0(X0,xS) )
        | aSubsetOf0(xP,xS) )
      & xk = sbrdtbr0(xP) ),
    inference(negated_conjecture,[],[f72]) ).

fof(f72,conjecture,
    ( ( ! [X0] :
          ( aElementOf0(X0,xP)
         => aElementOf0(X0,xS) )
      | aSubsetOf0(xP,xS) )
    & xk = sbrdtbr0(xP) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f1212,plain,
    ! [X2] :
      ( ~ aElementOf0(X2,xP)
      | xx = X2
      | aElementOf0(X2,xQ) ),
    inference(resolution,[],[f275,f269]) ).

fof(f269,plain,
    ! [X1] :
      ( ~ aElementOf0(X1,sdtmndt0(xQ,xy))
      | aElementOf0(X1,xQ) ),
    inference(cnf_transformation,[],[f192]) ).

fof(f275,plain,
    ! [X0] :
      ( aElementOf0(X0,sdtmndt0(xQ,xy))
      | xx = X0
      | ~ aElementOf0(X0,xP) ),
    inference(cnf_transformation,[],[f192]) ).

fof(f789,plain,
    ~ aElementOf0(sK5,xS),
    inference(trivial_inequality_removal,[],[f765]) ).

fof(f765,plain,
    ( ~ aElementOf0(sK5,xS)
    | xk != xk ),
    inference(backward_demodulation,[],[f278,f763]) ).

fof(f278,plain,
    ( ~ aElementOf0(sK5,xS)
    | xk != sbrdtbr0(xP) ),
    inference(cnf_transformation,[],[f194]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem    : NUM556+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n018.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 07:06:10 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  % (13672)dis+10_1:1_newcnf=on:sgt=8:sos=on:ss=axioms:to=lpo:urr=on:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.20/0.50  % (13671)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.50  % (13664)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.51  % (13668)lrs+10_1:1024_nm=0:nwc=5.0:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.52  % (13679)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.52  % (13680)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53  % (13687)dis+10_1:1_av=off:sos=on:sp=reverse_arity:ss=included:st=2.0:to=lpo:urr=ec_only:i=45:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/45Mi)
% 0.20/0.53  % (13686)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.20/0.53  % (13690)lrs+1011_1:1_fd=preordered:fsd=on:sos=on:thsq=on:thsqc=64:thsqd=32:uwa=ground:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.53  % (13665)lrs+10_1:1_gsp=on:sd=1:sgt=32:sos=on:ss=axioms:i=13:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/13Mi)
% 0.20/0.53  % (13678)lrs+10_1:1_ins=3:sp=reverse_frequency:spb=goal:to=lpo:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53  % (13692)dis+2_3:1_aac=none:abs=on:ep=R:lcm=reverse:nwc=10.0:sos=on:sp=const_frequency:spb=units:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.20/0.53  % (13693)lrs-11_1:1_nm=0:sac=on:sd=4:ss=axioms:st=3.0:i=24:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/24Mi)
% 0.20/0.53  % (13691)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.20/0.53  % (13679)Instruction limit reached!
% 0.20/0.53  % (13679)------------------------------
% 0.20/0.53  % (13679)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.53  % (13666)dis+1002_1:1_aac=none:bd=off:sac=on:sos=on:spb=units:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.20/0.53  % (13679)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.53  % (13679)Termination reason: Unknown
% 0.20/0.53  % (13679)Termination phase: Saturation
% 0.20/0.53  
% 0.20/0.53  % (13679)Memory used [KB]: 1663
% 0.20/0.53  % (13679)Time elapsed: 0.006 s
% 0.20/0.53  % (13679)Instructions burned: 7 (million)
% 0.20/0.53  % (13679)------------------------------
% 0.20/0.53  % (13679)------------------------------
% 0.20/0.54  % (13666)Instruction limit reached!
% 0.20/0.54  % (13666)------------------------------
% 0.20/0.54  % (13666)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (13666)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (13666)Termination reason: Unknown
% 0.20/0.54  % (13666)Termination phase: Preprocessing 3
% 0.20/0.54  
% 0.20/0.54  % (13666)Memory used [KB]: 1535
% 0.20/0.54  % (13666)Time elapsed: 0.004 s
% 0.20/0.54  % (13666)Instructions burned: 3 (million)
% 0.20/0.54  % (13666)------------------------------
% 0.20/0.54  % (13666)------------------------------
% 0.20/0.54  % (13692)Instruction limit reached!
% 0.20/0.54  % (13692)------------------------------
% 0.20/0.54  % (13692)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (13673)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.20/0.54  % (13667)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  % (13669)dis+21_1:1_av=off:sos=on:sp=frequency:ss=included:to=lpo:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/15Mi)
% 0.20/0.54  % (13688)dis+21_1:1_ep=RS:nwc=10.0:s2a=on:s2at=1.5:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.54  % (13682)ott+1010_1:1_sd=2:sos=on:sp=occurrence:ss=axioms:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.54  % (13670)dis+1010_1:50_awrs=decay:awrsf=128:nwc=10.0:s2pl=no:sp=frequency:ss=axioms:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.20/0.54  % (13678)Instruction limit reached!
% 0.20/0.54  % (13678)------------------------------
% 0.20/0.54  % (13678)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (13678)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (13678)Termination reason: Unknown
% 0.20/0.54  % (13678)Termination phase: Preprocessing 3
% 0.20/0.54  
% 0.20/0.54  % (13678)Memory used [KB]: 1535
% 0.20/0.54  % (13678)Time elapsed: 0.003 s
% 0.20/0.54  % (13678)Instructions burned: 3 (million)
% 0.20/0.54  % (13678)------------------------------
% 0.20/0.54  % (13678)------------------------------
% 0.20/0.54  % (13668)Instruction limit reached!
% 0.20/0.54  % (13668)------------------------------
% 0.20/0.54  % (13668)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (13684)dis+1010_1:1_bs=on:ep=RS:erd=off:newcnf=on:nwc=10.0:s2a=on:sgt=32:ss=axioms:i=30:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/30Mi)
% 0.20/0.54  % (13683)dis-10_3:2_amm=sco:ep=RS:fsr=off:nm=10:sd=2:sos=on:ss=axioms:st=3.0:i=11:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/11Mi)
% 0.20/0.54  % (13685)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54  % (13674)lrs+10_1:1_ep=R:lcm=predicate:lma=on:sos=all:spb=goal:ss=included:i=12:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/12Mi)
% 0.20/0.54  % (13682)Instruction limit reached!
% 0.20/0.54  % (13682)------------------------------
% 0.20/0.54  % (13682)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (13682)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (13682)Termination reason: Unknown
% 0.20/0.54  % (13682)Termination phase: Preprocessing 2
% 0.20/0.54  
% 0.20/0.54  % (13682)Memory used [KB]: 1535
% 0.20/0.54  % (13682)Time elapsed: 0.003 s
% 0.20/0.54  % (13682)Instructions burned: 2 (million)
% 0.20/0.54  % (13682)------------------------------
% 0.20/0.54  % (13682)------------------------------
% 1.50/0.55  % (13689)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 1.50/0.55  % (13674)Instruction limit reached!
% 1.50/0.55  % (13674)------------------------------
% 1.50/0.55  % (13674)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.55  % (13676)lrs+10_1:4_av=off:bs=unit_only:bsr=unit_only:ep=RS:s2a=on:sos=on:sp=frequency:to=lpo:i=16:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/16Mi)
% 1.50/0.55  % (13669)Instruction limit reached!
% 1.50/0.55  % (13669)------------------------------
% 1.50/0.55  % (13669)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.55  % (13681)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.50/0.55  % (13675)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.50/0.55  % (13677)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.50/0.55  % (13665)Instruction limit reached!
% 1.50/0.55  % (13665)------------------------------
% 1.50/0.55  % (13665)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.55  % (13668)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.55  % (13668)Termination reason: Unknown
% 1.50/0.55  % (13668)Termination phase: Saturation
% 1.50/0.55  
% 1.50/0.55  % (13668)Memory used [KB]: 6268
% 1.50/0.55  % (13668)Time elapsed: 0.137 s
% 1.50/0.55  % (13668)Instructions burned: 14 (million)
% 1.50/0.55  % (13668)------------------------------
% 1.50/0.55  % (13668)------------------------------
% 1.50/0.55  % (13692)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.55  % (13692)Termination reason: Unknown
% 1.50/0.55  % (13692)Termination phase: Saturation
% 1.50/0.55  
% 1.50/0.55  % (13692)Memory used [KB]: 1663
% 1.50/0.55  % (13692)Time elapsed: 0.004 s
% 1.50/0.55  % (13692)Instructions burned: 8 (million)
% 1.50/0.55  % (13692)------------------------------
% 1.50/0.55  % (13692)------------------------------
% 1.50/0.56  % (13683)Instruction limit reached!
% 1.50/0.56  % (13683)------------------------------
% 1.50/0.56  % (13683)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.56  % (13683)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.56  % (13683)Termination reason: Unknown
% 1.50/0.56  % (13683)Termination phase: Saturation
% 1.50/0.56  
% 1.50/0.56  % (13683)Memory used [KB]: 6268
% 1.50/0.56  % (13683)Time elapsed: 0.148 s
% 1.50/0.56  % (13683)Instructions burned: 12 (million)
% 1.50/0.56  % (13683)------------------------------
% 1.50/0.56  % (13683)------------------------------
% 1.50/0.56  % (13675)Instruction limit reached!
% 1.50/0.56  % (13675)------------------------------
% 1.50/0.56  % (13675)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.56  % (13675)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.56  % (13675)Termination reason: Unknown
% 1.50/0.56  % (13675)Termination phase: Saturation
% 1.50/0.56  
% 1.50/0.56  % (13675)Memory used [KB]: 6140
% 1.50/0.56  % (13675)Time elapsed: 0.006 s
% 1.50/0.56  % (13675)Instructions burned: 8 (million)
% 1.50/0.56  % (13675)------------------------------
% 1.50/0.56  % (13675)------------------------------
% 1.50/0.56  % (13676)Instruction limit reached!
% 1.50/0.56  % (13676)------------------------------
% 1.50/0.56  % (13676)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.56  % (13676)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.56  % (13676)Termination reason: Unknown
% 1.50/0.56  % (13676)Termination phase: Saturation
% 1.50/0.56  
% 1.50/0.56  % (13676)Memory used [KB]: 1918
% 1.50/0.56  % (13676)Time elapsed: 0.152 s
% 1.50/0.56  % (13676)Instructions burned: 16 (million)
% 1.50/0.56  % (13676)------------------------------
% 1.50/0.56  % (13676)------------------------------
% 1.66/0.57  % (13681)Instruction limit reached!
% 1.66/0.57  % (13681)------------------------------
% 1.66/0.57  % (13681)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.57  % (13681)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.57  % (13681)Termination reason: Unknown
% 1.66/0.57  % (13681)Termination phase: Preprocessing 3
% 1.66/0.57  
% 1.66/0.57  % (13681)Memory used [KB]: 1535
% 1.66/0.57  % (13681)Time elapsed: 0.005 s
% 1.66/0.57  % (13681)Instructions burned: 3 (million)
% 1.66/0.57  % (13681)------------------------------
% 1.66/0.57  % (13681)------------------------------
% 1.66/0.57  % (13665)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.57  % (13665)Termination reason: Unknown
% 1.66/0.57  % (13665)Termination phase: Saturation
% 1.66/0.57  
% 1.66/0.57  % (13665)Memory used [KB]: 6396
% 1.66/0.57  % (13665)Time elapsed: 0.146 s
% 1.66/0.57  % (13665)Instructions burned: 13 (million)
% 1.66/0.57  % (13665)------------------------------
% 1.66/0.57  % (13665)------------------------------
% 1.66/0.57  % (13669)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.57  % (13669)Termination reason: Unknown
% 1.66/0.57  % (13669)Termination phase: Saturation
% 1.66/0.57  
% 1.66/0.57  % (13669)Memory used [KB]: 1791
% 1.66/0.57  % (13669)Time elapsed: 0.135 s
% 1.66/0.57  % (13669)Instructions burned: 15 (million)
% 1.66/0.57  % (13669)------------------------------
% 1.66/0.57  % (13669)------------------------------
% 1.66/0.57  % (13674)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.57  % (13674)Termination reason: Unknown
% 1.66/0.57  % (13674)Termination phase: Saturation
% 1.66/0.57  
% 1.66/0.57  % (13674)Memory used [KB]: 6268
% 1.66/0.57  % (13674)Time elapsed: 0.137 s
% 1.66/0.57  % (13674)Instructions burned: 12 (million)
% 1.66/0.57  % (13674)------------------------------
% 1.66/0.57  % (13674)------------------------------
% 1.66/0.57  % (13673)Instruction limit reached!
% 1.66/0.57  % (13673)------------------------------
% 1.66/0.57  % (13673)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.58  % (13684)Instruction limit reached!
% 1.66/0.58  % (13684)------------------------------
% 1.66/0.58  % (13684)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.58  % (13671)Instruction limit reached!
% 1.66/0.58  % (13671)------------------------------
% 1.66/0.58  % (13671)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.58  % (13684)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.58  % (13684)Termination reason: Unknown
% 1.66/0.58  % (13684)Termination phase: Saturation
% 1.66/0.58  
% 1.66/0.58  % (13684)Memory used [KB]: 6524
% 1.66/0.58  % (13684)Time elapsed: 0.159 s
% 1.66/0.58  % (13684)Instructions burned: 30 (million)
% 1.66/0.58  % (13684)------------------------------
% 1.66/0.58  % (13684)------------------------------
% 1.66/0.58  % (13671)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.58  % (13671)Termination reason: Unknown
% 1.66/0.58  % (13671)Termination phase: Saturation
% 1.66/0.58  
% 1.66/0.58  % (13671)Memory used [KB]: 6780
% 1.66/0.58  % (13671)Time elapsed: 0.165 s
% 1.66/0.58  % (13671)Instructions burned: 40 (million)
% 1.66/0.58  % (13671)------------------------------
% 1.66/0.58  % (13671)------------------------------
% 1.66/0.58  % (13673)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.58  % (13673)Termination reason: Unknown
% 1.66/0.58  % (13673)Termination phase: Saturation
% 1.66/0.58  
% 1.66/0.58  % (13673)Memory used [KB]: 6780
% 1.66/0.58  % (13673)Time elapsed: 0.147 s
% 1.66/0.58  % (13673)Instructions burned: 33 (million)
% 1.66/0.58  % (13673)------------------------------
% 1.66/0.58  % (13673)------------------------------
% 1.66/0.59  % (13672)Instruction limit reached!
% 1.66/0.59  % (13672)------------------------------
% 1.66/0.59  % (13672)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.59  % (13672)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.59  % (13672)Termination reason: Unknown
% 1.66/0.59  % (13672)Termination phase: Saturation
% 1.66/0.59  
% 1.66/0.59  % (13672)Memory used [KB]: 7036
% 1.66/0.59  % (13672)Time elapsed: 0.165 s
% 1.66/0.59  % (13672)Instructions burned: 49 (million)
% 1.66/0.59  % (13672)------------------------------
% 1.66/0.59  % (13672)------------------------------
% 1.66/0.60  % (13691)Instruction limit reached!
% 1.66/0.60  % (13691)------------------------------
% 1.66/0.60  % (13691)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.60  % (13691)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.60  % (13691)Termination reason: Unknown
% 1.66/0.60  % (13691)Termination phase: Saturation
% 1.66/0.60  
% 1.66/0.60  % (13691)Memory used [KB]: 6652
% 1.66/0.60  % (13691)Time elapsed: 0.188 s
% 1.66/0.60  % (13691)Instructions burned: 26 (million)
% 1.66/0.60  % (13691)------------------------------
% 1.66/0.60  % (13691)------------------------------
% 1.66/0.60  % (13693)Instruction limit reached!
% 1.66/0.60  % (13693)------------------------------
% 1.66/0.60  % (13693)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.60  % (13693)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.60  % (13693)Termination reason: Unknown
% 1.66/0.60  % (13693)Termination phase: Saturation
% 1.66/0.60  
% 1.66/0.60  % (13693)Memory used [KB]: 6396
% 1.66/0.60  % (13693)Time elapsed: 0.169 s
% 1.66/0.60  % (13693)Instructions burned: 24 (million)
% 1.66/0.60  % (13693)------------------------------
% 1.66/0.60  % (13693)------------------------------
% 1.66/0.60  % (13687)Instruction limit reached!
% 1.66/0.60  % (13687)------------------------------
% 1.66/0.60  % (13687)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.60  % (13687)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.60  % (13687)Termination reason: Unknown
% 1.66/0.60  % (13687)Termination phase: Saturation
% 1.66/0.60  
% 1.66/0.60  % (13687)Memory used [KB]: 2302
% 1.66/0.60  % (13687)Time elapsed: 0.190 s
% 1.66/0.60  % (13687)Instructions burned: 45 (million)
% 1.66/0.60  % (13687)------------------------------
% 1.66/0.60  % (13687)------------------------------
% 1.66/0.61  % (13670)Instruction limit reached!
% 1.66/0.61  % (13670)------------------------------
% 1.66/0.61  % (13670)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.61  % (13670)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.61  % (13670)Termination reason: Unknown
% 1.66/0.61  % (13670)Termination phase: Saturation
% 1.66/0.61  
% 1.66/0.61  % (13670)Memory used [KB]: 6652
% 1.66/0.61  % (13670)Time elapsed: 0.151 s
% 1.66/0.61  % (13670)Instructions burned: 40 (million)
% 1.66/0.61  % (13670)------------------------------
% 1.66/0.61  % (13670)------------------------------
% 1.66/0.62  % (13667)Instruction limit reached!
% 1.66/0.62  % (13667)------------------------------
% 1.66/0.62  % (13667)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.62  % (13667)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.62  % (13667)Termination reason: Unknown
% 1.66/0.62  % (13667)Termination phase: Saturation
% 1.66/0.62  
% 1.66/0.62  % (13667)Memory used [KB]: 7036
% 1.66/0.62  % (13667)Time elapsed: 0.208 s
% 1.66/0.62  % (13667)Instructions burned: 51 (million)
% 1.66/0.62  % (13667)------------------------------
% 1.66/0.62  % (13667)------------------------------
% 1.66/0.62  % (13680)Instruction limit reached!
% 1.66/0.62  % (13680)------------------------------
% 1.66/0.62  % (13680)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.66/0.62  % (13680)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.66/0.62  % (13680)Termination reason: Unknown
% 1.66/0.62  % (13680)Termination phase: Saturation
% 1.66/0.62  
% 1.66/0.62  % (13680)Memory used [KB]: 7036
% 1.66/0.62  % (13680)Time elapsed: 0.197 s
% 1.66/0.62  % (13680)Instructions burned: 50 (million)
% 1.66/0.62  % (13680)------------------------------
% 1.66/0.62  % (13680)------------------------------
% 1.98/0.63  % (13677)Instruction limit reached!
% 1.98/0.63  % (13677)------------------------------
% 1.98/0.63  % (13677)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.98/0.63  % (13677)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.98/0.63  % (13677)Termination reason: Unknown
% 1.98/0.63  % (13677)Termination phase: Saturation
% 1.98/0.63  
% 1.98/0.63  % (13677)Memory used [KB]: 7164
% 1.98/0.63  % (13677)Time elapsed: 0.228 s
% 1.98/0.63  % (13677)Instructions burned: 51 (million)
% 1.98/0.63  % (13677)------------------------------
% 1.98/0.63  % (13677)------------------------------
% 1.98/0.64  % (13688)Instruction limit reached!
% 1.98/0.64  % (13688)------------------------------
% 1.98/0.64  % (13688)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.98/0.64  % (13688)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.98/0.64  % (13688)Termination reason: Unknown
% 1.98/0.64  % (13688)Termination phase: Saturation
% 1.98/0.64  
% 1.98/0.64  % (13688)Memory used [KB]: 6908
% 1.98/0.64  % (13688)Time elapsed: 0.208 s
% 1.98/0.64  % (13688)Instructions burned: 51 (million)
% 1.98/0.64  % (13688)------------------------------
% 1.98/0.64  % (13688)------------------------------
% 1.98/0.65  % (13686)Instruction limit reached!
% 1.98/0.65  % (13686)------------------------------
% 1.98/0.65  % (13686)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.98/0.65  % (13686)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.98/0.65  % (13686)Termination reason: Unknown
% 1.98/0.65  % (13686)Termination phase: Saturation
% 1.98/0.65  
% 1.98/0.65  % (13686)Memory used [KB]: 8059
% 1.98/0.65  % (13686)Time elapsed: 0.213 s
% 1.98/0.65  % (13686)Instructions burned: 83 (million)
% 1.98/0.65  % (13686)------------------------------
% 1.98/0.65  % (13686)------------------------------
% 1.98/0.66  % (13695)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 2.05/0.66  % (13694)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 2.05/0.67  % (13704)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=84:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/84Mi)
% 2.05/0.67  % (13696)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/87Mi)
% 2.05/0.68  % (13697)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/69Mi)
% 2.05/0.68  % (13703)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.05/0.68  % (13695)Instruction limit reached!
% 2.05/0.68  % (13695)------------------------------
% 2.05/0.68  % (13695)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.68  % (13695)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.68  % (13695)Termination reason: Unknown
% 2.05/0.68  % (13695)Termination phase: Saturation
% 2.05/0.68  
% 2.05/0.68  % (13695)Memory used [KB]: 10618
% 2.05/0.68  % (13695)Time elapsed: 0.006 s
% 2.05/0.68  % (13695)Instructions burned: 7 (million)
% 2.05/0.68  % (13695)------------------------------
% 2.05/0.68  % (13695)------------------------------
% 2.05/0.68  % (13699)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/56Mi)
% 2.05/0.68  % (13700)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/141Mi)
% 2.05/0.69  % (13701)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/42Mi)
% 2.05/0.69  % (13702)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/31Mi)
% 2.05/0.69  % (13698)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 2.05/0.69  % (13706)lrs+21_1:16_gsp=on:lcm=reverse:sd=2:sp=frequency:spb=goal_then_units:ss=included:i=93:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/93Mi)
% 2.05/0.70  % (13705)lrs+10_1:1_br=off:s2a=on:s2agt=8:ss=axioms:st=2.0:urr=on:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/131Mi)
% 2.05/0.71  % (13707)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=109:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/109Mi)
% 2.05/0.71  % (13708)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=86:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/86Mi)
% 2.05/0.72  % (13690)Refutation not found, non-redundant clauses discarded% (13690)------------------------------
% 2.05/0.72  % (13690)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.05/0.72  % (13690)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.05/0.72  % (13690)Termination reason: Refutation not found, non-redundant clauses discarded
% 2.05/0.72  
% 2.05/0.72  % (13690)Memory used [KB]: 7931
% 2.05/0.72  % (13690)Time elapsed: 0.311 s
% 2.05/0.72  % (13690)Instructions burned: 90 (million)
% 2.05/0.72  % (13690)------------------------------
% 2.05/0.72  % (13690)------------------------------
% 2.05/0.72  % (13713)ott+10_4:7_awrs=converge:bd=preordered:flr=on:nwc=10.0:sos=on:sp=reverse_frequency:to=lpo:urr=on:i=19:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/19Mi)
% 2.05/0.72  % (13709)lrs+4_1:1_fde=unused:sos=on:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/15Mi)
% 2.18/0.73  % (13685)First to succeed.
% 2.18/0.73  % (13712)ott+10_1:1_ep=R:sd=1:sos=all:ss=axioms:i=66:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/66Mi)
% 2.18/0.73  % (13710)dis+1011_5:1_drc=off:kws=inv_arity_squared:nwc=5.0:plsq=on:plsqc=1:plsqr=32,1:s2a=on:s2at=2.1:urr=ec_only:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/32Mi)
% 2.18/0.74  % (13714)dis+1002_1:1_ins=1:sd=1:sos=on:ss=axioms:to=lpo:i=341:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/341Mi)
% 2.18/0.74  % (13689)Instruction limit reached!
% 2.18/0.74  % (13689)------------------------------
% 2.18/0.74  % (13689)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.74  % (13689)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.74  % (13689)Termination reason: Unknown
% 2.18/0.74  % (13689)Termination phase: Saturation
% 2.18/0.74  
% 2.18/0.74  % (13689)Memory used [KB]: 7547
% 2.18/0.74  % (13689)Time elapsed: 0.337 s
% 2.18/0.74  % (13689)Instructions burned: 96 (million)
% 2.18/0.74  % (13689)------------------------------
% 2.18/0.74  % (13689)------------------------------
% 2.18/0.74  % (13694)Also succeeded, but the first one will report.
% 2.18/0.75  % (13685)Refutation found. Thanks to Tanya!
% 2.18/0.75  % SZS status Theorem for theBenchmark
% 2.18/0.75  % SZS output start Proof for theBenchmark
% See solution above
% 2.18/0.75  % (13685)------------------------------
% 2.18/0.75  % (13685)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.18/0.75  % (13685)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.18/0.75  % (13685)Termination reason: Refutation
% 2.18/0.75  
% 2.18/0.75  % (13685)Memory used [KB]: 7419
% 2.18/0.75  % (13685)Time elapsed: 0.320 s
% 2.18/0.75  % (13685)Instructions burned: 90 (million)
% 2.18/0.75  % (13685)------------------------------
% 2.18/0.75  % (13685)------------------------------
% 2.18/0.75  % (13663)Success in time 0.394 s
%------------------------------------------------------------------------------