TSTP Solution File: NUM554+3 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUM554+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 : 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 : Wed Aug 31 18:00:33 EDT 2022

% Result   : Theorem 2.85s 0.86s
% Output   : Refutation 2.85s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   22
% Syntax   : Number of formulae    :   98 (  17 unt;   0 def)
%            Number of atoms       :  315 (  53 equ)
%            Maximal formula atoms :   19 (   3 avg)
%            Number of connectives :  345 ( 128   ~; 131   |;  60   &)
%                                         (  13 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :   16 (  14 usr;  10 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;   9 con; 0-2 aty)
%            Number of variables   :   48 (  46   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2370,plain,
    $false,
    inference(avatar_sat_refutation,[],[f456,f475,f500,f1473,f2049,f2066,f2146,f2350,f2362,f2369]) ).

fof(f2369,plain,
    ( spl20_2
    | ~ spl20_118 ),
    inference(avatar_contradiction_clause,[],[f2368]) ).

fof(f2368,plain,
    ( $false
    | spl20_2
    | ~ spl20_118 ),
    inference(subsumption_resolution,[],[f2367,f364]) ).

fof(f364,plain,
    aElementOf0(xx,xS),
    inference(cnf_transformation,[],[f64]) ).

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

fof(f2367,plain,
    ( ~ aElementOf0(xx,xS)
    | spl20_2
    | ~ spl20_118 ),
    inference(backward_demodulation,[],[f455,f2345]) ).

fof(f2345,plain,
    ( xx = sK6
    | ~ spl20_118 ),
    inference(avatar_component_clause,[],[f2343]) ).

fof(f2343,plain,
    ( spl20_118
  <=> xx = sK6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_118])]) ).

fof(f455,plain,
    ( ~ aElementOf0(sK6,xS)
    | spl20_2 ),
    inference(avatar_component_clause,[],[f453]) ).

fof(f453,plain,
    ( spl20_2
  <=> aElementOf0(sK6,xS) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_2])]) ).

fof(f2362,plain,
    ( spl20_2
    | ~ spl20_119 ),
    inference(avatar_contradiction_clause,[],[f2361]) ).

fof(f2361,plain,
    ( $false
    | spl20_2
    | ~ spl20_119 ),
    inference(subsumption_resolution,[],[f2359,f455]) ).

fof(f2359,plain,
    ( aElementOf0(sK6,xS)
    | ~ spl20_119 ),
    inference(resolution,[],[f2349,f263]) ).

fof(f263,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,xQ)
      | aElementOf0(X0,xS) ),
    inference(cnf_transformation,[],[f126]) ).

fof(f126,plain,
    ( aElementOf0(xQ,slbdtsldtrb0(xS,xk))
    & xk = sbrdtbr0(xQ)
    & aSet0(xQ)
    & ! [X0] :
        ( ~ aElementOf0(X0,xQ)
        | aElementOf0(X0,xS) )
    & aSubsetOf0(xQ,xS) ),
    inference(ennf_transformation,[],[f65]) ).

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

fof(f2349,plain,
    ( aElementOf0(sK6,xQ)
    | ~ spl20_119 ),
    inference(avatar_component_clause,[],[f2347]) ).

fof(f2347,plain,
    ( spl20_119
  <=> aElementOf0(sK6,xQ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_119])]) ).

fof(f2350,plain,
    ( spl20_118
    | spl20_119
    | ~ spl20_6 ),
    inference(avatar_split_clause,[],[f2320,f472,f2347,f2343]) ).

fof(f472,plain,
    ( spl20_6
  <=> aElementOf0(sK6,xP) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_6])]) ).

fof(f2320,plain,
    ( aElementOf0(sK6,xQ)
    | xx = sK6
    | ~ spl20_6 ),
    inference(resolution,[],[f1732,f474]) ).

fof(f474,plain,
    ( aElementOf0(sK6,xP)
    | ~ spl20_6 ),
    inference(avatar_component_clause,[],[f472]) ).

fof(f1732,plain,
    ! [X1] :
      ( ~ aElementOf0(X1,xP)
      | aElementOf0(X1,xQ)
      | xx = X1 ),
    inference(resolution,[],[f400,f394]) ).

fof(f394,plain,
    ! [X1] :
      ( ~ aElementOf0(X1,sdtmndt0(xQ,xy))
      | aElementOf0(X1,xQ) ),
    inference(cnf_transformation,[],[f240]) ).

fof(f240,plain,
    ( aSet0(sdtmndt0(xQ,xy))
    & ! [X0] :
        ( ( ( ( aElementOf0(X0,sdtmndt0(xQ,xy))
              | xx = X0 )
            & aElement0(X0) )
          | ~ aElementOf0(X0,xP) )
        & ( aElementOf0(X0,xP)
          | ( ~ aElementOf0(X0,sdtmndt0(xQ,xy))
            & xx != X0 )
          | ~ aElement0(X0) ) )
    & ! [X1] :
        ( ( ( aElement0(X1)
            & xy != X1
            & aElementOf0(X1,xQ) )
          | ~ aElementOf0(X1,sdtmndt0(xQ,xy)) )
        & ( aElementOf0(X1,sdtmndt0(xQ,xy))
          | ~ aElement0(X1)
          | xy = X1
          | ~ aElementOf0(X1,xQ) ) )
    & aSet0(xP)
    & xP = sdtpldt0(sdtmndt0(xQ,xy),xx) ),
    inference(flattening,[],[f239]) ).

fof(f239,plain,
    ( aSet0(sdtmndt0(xQ,xy))
    & ! [X0] :
        ( ( ( ( aElementOf0(X0,sdtmndt0(xQ,xy))
              | xx = X0 )
            & aElement0(X0) )
          | ~ aElementOf0(X0,xP) )
        & ( aElementOf0(X0,xP)
          | ( ~ aElementOf0(X0,sdtmndt0(xQ,xy))
            & xx != X0 )
          | ~ aElement0(X0) ) )
    & ! [X1] :
        ( ( ( aElement0(X1)
            & xy != X1
            & aElementOf0(X1,xQ) )
          | ~ aElementOf0(X1,sdtmndt0(xQ,xy)) )
        & ( aElementOf0(X1,sdtmndt0(xQ,xy))
          | ~ aElement0(X1)
          | xy = X1
          | ~ aElementOf0(X1,xQ) ) )
    & aSet0(xP)
    & xP = sdtpldt0(sdtmndt0(xQ,xy),xx) ),
    inference(nnf_transformation,[],[f74]) ).

fof(f74,plain,
    ( aSet0(sdtmndt0(xQ,xy))
    & ! [X0] :
        ( ( ( aElementOf0(X0,sdtmndt0(xQ,xy))
            | xx = X0 )
          & aElement0(X0) )
      <=> aElementOf0(X0,xP) )
    & ! [X1] :
        ( ( aElement0(X1)
          & xy != X1
          & aElementOf0(X1,xQ) )
      <=> aElementOf0(X1,sdtmndt0(xQ,xy)) )
    & aSet0(xP)
    & 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] :
        ( ( ( aElementOf0(X0,sdtmndt0(xQ,xy))
            | xx = X0 )
          & aElement0(X0) )
      <=> 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(f400,plain,
    ! [X0] :
      ( aElementOf0(X0,sdtmndt0(xQ,xy))
      | ~ aElementOf0(X0,xP)
      | xx = X0 ),
    inference(cnf_transformation,[],[f240]) ).

fof(f2146,plain,
    spl20_57,
    inference(avatar_contradiction_clause,[],[f2145]) ).

fof(f2145,plain,
    ( $false
    | spl20_57 ),
    inference(subsumption_resolution,[],[f2144,f386]) ).

fof(f386,plain,
    aElement0(xy),
    inference(cnf_transformation,[],[f67]) ).

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

fof(f2144,plain,
    ( ~ aElement0(xy)
    | spl20_57 ),
    inference(subsumption_resolution,[],[f2143,f370]) ).

fof(f370,plain,
    isFinite0(xQ),
    inference(cnf_transformation,[],[f66]) ).

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

fof(f2143,plain,
    ( ~ isFinite0(xQ)
    | ~ aElement0(xy)
    | spl20_57 ),
    inference(subsumption_resolution,[],[f2141,f371]) ).

fof(f371,plain,
    aSet0(xQ),
    inference(cnf_transformation,[],[f66]) ).

fof(f2141,plain,
    ( ~ aSet0(xQ)
    | ~ isFinite0(xQ)
    | ~ aElement0(xy)
    | spl20_57 ),
    inference(resolution,[],[f1096,f379]) ).

fof(f379,plain,
    ! [X0,X1] :
      ( isFinite0(sdtmndt0(X1,X0))
      | ~ aElement0(X0)
      | ~ aSet0(X1)
      | ~ isFinite0(X1) ),
    inference(cnf_transformation,[],[f160]) ).

fof(f160,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ aSet0(X1)
          | ~ isFinite0(X1)
          | isFinite0(sdtmndt0(X1,X0)) )
      | ~ aElement0(X0) ),
    inference(flattening,[],[f159]) ).

fof(f159,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(f1096,plain,
    ( ~ isFinite0(sdtmndt0(xQ,xy))
    | spl20_57 ),
    inference(avatar_component_clause,[],[f1094]) ).

fof(f1094,plain,
    ( spl20_57
  <=> isFinite0(sdtmndt0(xQ,xy)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_57])]) ).

fof(f2066,plain,
    ( ~ spl20_57
    | spl20_56
    | ~ spl20_3
    | spl20_58 ),
    inference(avatar_split_clause,[],[f2065,f1098,f458,f1090,f1094]) ).

fof(f1090,plain,
    ( spl20_56
  <=> sbrdtbr0(xP) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_56])]) ).

fof(f458,plain,
    ( spl20_3
  <=> aElement0(xx) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_3])]) ).

fof(f1098,plain,
    ( spl20_58
  <=> aElementOf0(xx,sdtmndt0(xQ,xy)) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_58])]) ).

fof(f2065,plain,
    ( sbrdtbr0(xP) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy)))
    | ~ isFinite0(sdtmndt0(xQ,xy))
    | ~ spl20_3
    | spl20_58 ),
    inference(subsumption_resolution,[],[f2064,f401]) ).

fof(f401,plain,
    aSet0(sdtmndt0(xQ,xy)),
    inference(cnf_transformation,[],[f240]) ).

fof(f2064,plain,
    ( ~ aSet0(sdtmndt0(xQ,xy))
    | ~ isFinite0(sdtmndt0(xQ,xy))
    | sbrdtbr0(xP) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy)))
    | ~ spl20_3
    | spl20_58 ),
    inference(subsumption_resolution,[],[f2063,f1099]) ).

fof(f1099,plain,
    ( ~ aElementOf0(xx,sdtmndt0(xQ,xy))
    | spl20_58 ),
    inference(avatar_component_clause,[],[f1098]) ).

fof(f2063,plain,
    ( sbrdtbr0(xP) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy)))
    | ~ isFinite0(sdtmndt0(xQ,xy))
    | aElementOf0(xx,sdtmndt0(xQ,xy))
    | ~ aSet0(sdtmndt0(xQ,xy))
    | ~ spl20_3 ),
    inference(subsumption_resolution,[],[f1290,f459]) ).

fof(f459,plain,
    ( aElement0(xx)
    | ~ spl20_3 ),
    inference(avatar_component_clause,[],[f458]) ).

fof(f1290,plain,
    ( ~ aElement0(xx)
    | aElementOf0(xx,sdtmndt0(xQ,xy))
    | ~ isFinite0(sdtmndt0(xQ,xy))
    | ~ aSet0(sdtmndt0(xQ,xy))
    | sbrdtbr0(xP) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy))) ),
    inference(superposition,[],[f382,f391]) ).

fof(f391,plain,
    xP = sdtpldt0(sdtmndt0(xQ,xy),xx),
    inference(cnf_transformation,[],[f240]) ).

fof(f382,plain,
    ! [X0,X1] :
      ( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
      | aElementOf0(X1,X0)
      | ~ isFinite0(X0)
      | ~ aSet0(X0)
      | ~ aElement0(X1) ),
    inference(cnf_transformation,[],[f155]) ).

fof(f155,plain,
    ! [X0] :
      ( ! [X1] :
          ( aElementOf0(X1,X0)
          | ~ aElement0(X1)
          | sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0)) )
      | ~ isFinite0(X0)
      | ~ aSet0(X0) ),
    inference(flattening,[],[f154]) ).

fof(f154,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(f2049,plain,
    ( spl20_1
    | ~ spl20_56 ),
    inference(avatar_split_clause,[],[f2035,f1090,f449]) ).

fof(f449,plain,
    ( spl20_1
  <=> xk = sbrdtbr0(xP) ),
    introduced(avatar_definition,[new_symbols(naming,[spl20_1])]) ).

fof(f2035,plain,
    ( xk = sbrdtbr0(xP)
    | ~ spl20_56 ),
    inference(forward_demodulation,[],[f2034,f372]) ).

fof(f372,plain,
    xk = sbrdtbr0(xQ),
    inference(cnf_transformation,[],[f66]) ).

fof(f2034,plain,
    ( sbrdtbr0(xQ) = sbrdtbr0(xP)
    | ~ spl20_56 ),
    inference(subsumption_resolution,[],[f2033,f371]) ).

fof(f2033,plain,
    ( sbrdtbr0(xQ) = sbrdtbr0(xP)
    | ~ aSet0(xQ)
    | ~ spl20_56 ),
    inference(subsumption_resolution,[],[f2032,f370]) ).

fof(f2032,plain,
    ( ~ isFinite0(xQ)
    | sbrdtbr0(xQ) = sbrdtbr0(xP)
    | ~ aSet0(xQ)
    | ~ spl20_56 ),
    inference(subsumption_resolution,[],[f1946,f387]) ).

fof(f387,plain,
    aElementOf0(xy,xQ),
    inference(cnf_transformation,[],[f67]) ).

fof(f1946,plain,
    ( ~ aElementOf0(xy,xQ)
    | sbrdtbr0(xQ) = sbrdtbr0(xP)
    | ~ aSet0(xQ)
    | ~ isFinite0(xQ)
    | ~ spl20_56 ),
    inference(superposition,[],[f1092,f339]) ).

fof(f339,plain,
    ! [X0,X1] :
      ( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
      | ~ aElementOf0(X1,X0)
      | ~ isFinite0(X0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f149]) ).

fof(f149,plain,
    ! [X0] :
      ( ~ aSet0(X0)
      | ! [X1] :
          ( ~ aElementOf0(X1,X0)
          | ~ isFinite0(X0)
          | sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1))) ) ),
    inference(flattening,[],[f148]) ).

fof(f148,plain,
    ! [X0] :
      ( ! [X1] :
          ( sbrdtbr0(X0) = szszuzczcdt0(sbrdtbr0(sdtmndt0(X0,X1)))
          | ~ isFinite0(X0)
          | ~ aElementOf0(X1,X0) )
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f44]) ).

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

fof(f1092,plain,
    ( sbrdtbr0(xP) = szszuzczcdt0(sbrdtbr0(sdtmndt0(xQ,xy)))
    | ~ spl20_56 ),
    inference(avatar_component_clause,[],[f1090]) ).

fof(f1473,plain,
    ~ spl20_58,
    inference(avatar_contradiction_clause,[],[f1472]) ).

fof(f1472,plain,
    ( $false
    | ~ spl20_58 ),
    inference(subsumption_resolution,[],[f1457,f365]) ).

fof(f365,plain,
    ~ aElementOf0(xx,xQ),
    inference(cnf_transformation,[],[f69]) ).

fof(f69,axiom,
    ~ aElementOf0(xx,xQ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2338) ).

fof(f1457,plain,
    ( aElementOf0(xx,xQ)
    | ~ spl20_58 ),
    inference(resolution,[],[f394,f1100]) ).

fof(f1100,plain,
    ( aElementOf0(xx,sdtmndt0(xQ,xy))
    | ~ spl20_58 ),
    inference(avatar_component_clause,[],[f1098]) ).

fof(f500,plain,
    spl20_3,
    inference(avatar_split_clause,[],[f499,f458]) ).

fof(f499,plain,
    aElement0(xx),
    inference(subsumption_resolution,[],[f495,f285]) ).

fof(f285,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(f495,plain,
    ( ~ aSet0(xS)
    | aElement0(xx) ),
    inference(resolution,[],[f364,f259]) ).

fof(f259,plain,
    ! [X0,X1] :
      ( ~ aElementOf0(X1,X0)
      | aElement0(X1)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f127]) ).

fof(f127,plain,
    ! [X0] :
      ( ! [X1] :
          ( ~ aElementOf0(X1,X0)
          | aElement0(X1) )
      | ~ 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(f475,plain,
    ( ~ spl20_1
    | spl20_6 ),
    inference(avatar_split_clause,[],[f303,f472,f449]) ).

fof(f303,plain,
    ( aElementOf0(sK6,xP)
    | xk != sbrdtbr0(xP) ),
    inference(cnf_transformation,[],[f202]) ).

fof(f202,plain,
    ( ~ aElementOf0(xP,slbdtsldtrb0(xS,xk))
    & ( ( ~ aElementOf0(sK6,xS)
        & aElementOf0(sK6,xP)
        & ~ aSubsetOf0(xP,xS) )
      | xk != sbrdtbr0(xP) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f96,f201]) ).

fof(f201,plain,
    ( ? [X0] :
        ( ~ aElementOf0(X0,xS)
        & aElementOf0(X0,xP) )
   => ( ~ aElementOf0(sK6,xS)
      & aElementOf0(sK6,xP) ) ),
    introduced(choice_axiom,[]) ).

fof(f96,plain,
    ( ~ aElementOf0(xP,slbdtsldtrb0(xS,xk))
    & ( ( ? [X0] :
            ( ~ aElementOf0(X0,xS)
            & aElementOf0(X0,xP) )
        & ~ aSubsetOf0(xP,xS) )
      | xk != sbrdtbr0(xP) ) ),
    inference(ennf_transformation,[],[f72]) ).

fof(f72,negated_conjecture,
    ~ ( aElementOf0(xP,slbdtsldtrb0(xS,xk))
      | ( ( aSubsetOf0(xP,xS)
          | ! [X0] :
              ( aElementOf0(X0,xP)
             => aElementOf0(X0,xS) ) )
        & xk = sbrdtbr0(xP) ) ),
    inference(negated_conjecture,[],[f71]) ).

fof(f71,conjecture,
    ( aElementOf0(xP,slbdtsldtrb0(xS,xk))
    | ( ( aSubsetOf0(xP,xS)
        | ! [X0] :
            ( aElementOf0(X0,xP)
           => aElementOf0(X0,xS) ) )
      & xk = sbrdtbr0(xP) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f456,plain,
    ( ~ spl20_1
    | ~ spl20_2 ),
    inference(avatar_split_clause,[],[f304,f453,f449]) ).

fof(f304,plain,
    ( ~ aElementOf0(sK6,xS)
    | xk != sbrdtbr0(xP) ),
    inference(cnf_transformation,[],[f202]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : NUM554+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n007.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Tue Aug 30 06:46:30 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.19/0.53  % (30269)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)
% 0.19/0.55  % (30271)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)
% 0.19/0.56  % (30269)Instruction limit reached!
% 0.19/0.56  % (30269)------------------------------
% 0.19/0.56  % (30269)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (30290)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)
% 0.19/0.56  % (30277)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)
% 0.19/0.56  % (30285)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.19/0.56  % (30285)Instruction limit reached!
% 0.19/0.56  % (30285)------------------------------
% 0.19/0.56  % (30285)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (30269)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (30269)Termination reason: Unknown
% 0.19/0.56  % (30269)Termination phase: Saturation
% 0.19/0.56  
% 0.19/0.56  % (30269)Memory used [KB]: 6396
% 0.19/0.56  % (30269)Time elapsed: 0.128 s
% 0.19/0.56  % (30269)Instructions burned: 13 (million)
% 0.19/0.56  % (30269)------------------------------
% 0.19/0.56  % (30269)------------------------------
% 0.19/0.57  % (30285)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.57  % (30285)Termination reason: Unknown
% 0.19/0.57  % (30285)Termination phase: Naming
% 0.19/0.57  
% 0.19/0.57  % (30285)Memory used [KB]: 1535
% 0.19/0.57  % (30285)Time elapsed: 0.005 s
% 0.19/0.57  % (30285)Instructions burned: 3 (million)
% 0.19/0.57  % (30285)------------------------------
% 0.19/0.57  % (30285)------------------------------
% 0.19/0.57  % (30279)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)
% 0.19/0.58  % (30280)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)
% 0.19/0.58  % (30279)Instruction limit reached!
% 0.19/0.58  % (30279)------------------------------
% 0.19/0.58  % (30279)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.58  % (30281)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)
% 0.19/0.59  % (30282)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)
% 0.19/0.59  % (30279)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59  % (30279)Termination reason: Unknown
% 0.19/0.59  % (30279)Termination phase: Property scanning
% 0.19/0.59  
% 0.19/0.59  % (30279)Memory used [KB]: 1663
% 0.19/0.59  % (30279)Time elapsed: 0.006 s
% 0.19/0.59  % (30279)Instructions burned: 7 (million)
% 0.19/0.59  % (30279)------------------------------
% 0.19/0.59  % (30279)------------------------------
% 0.19/0.59  % (30282)Instruction limit reached!
% 0.19/0.59  % (30282)------------------------------
% 0.19/0.59  % (30282)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.59  % (30282)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.59  % (30282)Termination reason: Unknown
% 0.19/0.59  % (30282)Termination phase: Preprocessing 3
% 0.19/0.59  
% 0.19/0.59  % (30282)Memory used [KB]: 1663
% 0.19/0.59  % (30282)Time elapsed: 0.005 s
% 0.19/0.59  % (30282)Instructions burned: 4 (million)
% 0.19/0.59  % (30282)------------------------------
% 0.19/0.59  % (30282)------------------------------
% 0.19/0.59  % (30268)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.19/0.60  % (30270)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)
% 0.19/0.60  % (30283)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)
% 0.19/0.60  % (30270)Instruction limit reached!
% 0.19/0.60  % (30270)------------------------------
% 0.19/0.60  % (30270)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.60  % (30270)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.60  % (30270)Termination reason: Unknown
% 0.19/0.60  % (30270)Termination phase: Preprocessing 3
% 0.19/0.60  
% 0.19/0.60  % (30270)Memory used [KB]: 1535
% 0.19/0.60  % (30270)Time elapsed: 0.005 s
% 0.19/0.60  % (30270)Instructions burned: 4 (million)
% 0.19/0.60  % (30270)------------------------------
% 0.19/0.60  % (30270)------------------------------
% 0.19/0.60  % (30273)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)
% 0.19/0.60  % (30274)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)
% 0.19/0.60  % (30291)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)
% 0.19/0.62  % (30289)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)
% 0.19/0.62  % (30293)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)
% 0.19/0.62  % (30272)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)
% 0.19/0.62  % (30292)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)
% 0.19/0.62  % (30283)Instruction limit reached!
% 0.19/0.62  % (30283)------------------------------
% 0.19/0.62  % (30283)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.62  % (30283)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.62  % (30283)Termination reason: Unknown
% 0.19/0.62  % (30283)Termination phase: Saturation
% 0.19/0.62  
% 0.19/0.62  % (30283)Memory used [KB]: 6140
% 0.19/0.62  % (30283)Time elapsed: 0.008 s
% 0.19/0.62  % (30283)Instructions burned: 7 (million)
% 0.19/0.62  % (30283)------------------------------
% 0.19/0.62  % (30283)------------------------------
% 0.19/0.62  % (30275)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)
% 0.19/0.62  % (30278)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)
% 0.19/0.63  % (30296)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)
% 0.19/0.63  % (30286)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)
% 0.19/0.63  % (30286)Instruction limit reached!
% 0.19/0.63  % (30286)------------------------------
% 0.19/0.63  % (30286)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.63  % (30286)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.63  % (30286)Termination reason: Unknown
% 0.19/0.63  % (30286)Termination phase: Preprocessing 2
% 0.19/0.63  
% 0.19/0.63  % (30286)Memory used [KB]: 1535
% 0.19/0.63  % (30286)Time elapsed: 0.003 s
% 0.19/0.63  % (30286)Instructions burned: 2 (million)
% 0.19/0.63  % (30286)------------------------------
% 0.19/0.63  % (30286)------------------------------
% 0.19/0.63  % (30284)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)
% 0.19/0.63  % (30280)Instruction limit reached!
% 0.19/0.63  % (30280)------------------------------
% 0.19/0.63  % (30280)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.63  % (30280)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.63  % (30280)Termination reason: Unknown
% 0.19/0.63  % (30280)Termination phase: Saturation
% 0.19/0.63  
% 0.19/0.63  % (30280)Memory used [KB]: 1918
% 0.19/0.63  % (30280)Time elapsed: 0.182 s
% 0.19/0.63  % (30280)Instructions burned: 16 (million)
% 0.19/0.63  % (30280)------------------------------
% 0.19/0.63  % (30280)------------------------------
% 0.19/0.63  % (30287)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)
% 0.19/0.63  % (30294)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)
% 0.19/0.63  % (30297)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)
% 0.19/0.63  % (30276)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)
% 0.19/0.64  % (30272)Instruction limit reached!
% 0.19/0.64  % (30272)------------------------------
% 0.19/0.64  % (30272)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.64  % (30295)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)
% 0.19/0.64  % (30287)Instruction limit reached!
% 0.19/0.64  % (30287)------------------------------
% 0.19/0.64  % (30287)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.64  % (30272)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.64  % (30272)Termination reason: Unknown
% 0.19/0.64  % (30272)Termination phase: Saturation
% 0.19/0.64  
% 0.19/0.64  % (30272)Memory used [KB]: 6268
% 0.19/0.64  % (30272)Time elapsed: 0.205 s
% 0.19/0.64  % (30272)Instructions burned: 13 (million)
% 0.19/0.64  % (30272)------------------------------
% 0.19/0.64  % (30272)------------------------------
% 0.19/0.64  % (30296)Instruction limit reached!
% 0.19/0.64  % (30296)------------------------------
% 0.19/0.64  % (30296)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.64  % (30296)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.64  % (30296)Termination reason: Unknown
% 0.19/0.64  % (30296)Termination phase: Property scanning
% 0.19/0.64  
% 0.19/0.64  % (30296)Memory used [KB]: 1663
% 0.19/0.64  % (30296)Time elapsed: 0.006 s
% 0.19/0.64  % (30296)Instructions burned: 8 (million)
% 0.19/0.64  % (30296)------------------------------
% 0.19/0.64  % (30296)------------------------------
% 0.19/0.64  % (30287)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.64  % (30287)Termination reason: Unknown
% 0.19/0.64  % (30287)Termination phase: Saturation
% 0.19/0.64  
% 0.19/0.64  % (30287)Memory used [KB]: 6268
% 0.19/0.64  % (30287)Time elapsed: 0.210 s
% 0.19/0.64  % (30287)Instructions burned: 11 (million)
% 0.19/0.64  % (30287)------------------------------
% 0.19/0.64  % (30287)------------------------------
% 0.19/0.65  % (30288)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)
% 0.19/0.65  % (30277)Instruction limit reached!
% 0.19/0.65  % (30277)------------------------------
% 0.19/0.65  % (30277)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.65  % (30277)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.65  % (30277)Termination reason: Unknown
% 0.19/0.65  % (30277)Termination phase: Saturation
% 0.19/0.65  
% 0.19/0.65  % (30277)Memory used [KB]: 6780
% 0.19/0.65  % (30277)Time elapsed: 0.220 s
% 0.19/0.65  % (30277)Instructions burned: 33 (million)
% 0.19/0.65  % (30277)------------------------------
% 0.19/0.65  % (30277)------------------------------
% 0.19/0.65  % (30273)Instruction limit reached!
% 0.19/0.65  % (30273)------------------------------
% 0.19/0.65  % (30273)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.65  % (30273)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.65  % (30273)Termination reason: Unknown
% 0.19/0.65  % (30273)Termination phase: Saturation
% 0.19/0.65  
% 0.19/0.65  % (30273)Memory used [KB]: 1791
% 0.19/0.65  % (30273)Time elapsed: 0.227 s
% 0.19/0.65  % (30273)Instructions burned: 15 (million)
% 0.19/0.65  % (30273)------------------------------
% 0.19/0.65  % (30273)------------------------------
% 0.19/0.65  % (30271)Instruction limit reached!
% 0.19/0.65  % (30271)------------------------------
% 0.19/0.65  % (30271)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.65  % (30271)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.65  % (30271)Termination reason: Unknown
% 0.19/0.65  % (30271)Termination phase: Saturation
% 0.19/0.65  
% 0.19/0.65  % (30271)Memory used [KB]: 7036
% 0.19/0.65  % (30271)Time elapsed: 0.224 s
% 0.19/0.65  % (30271)Instructions burned: 51 (million)
% 0.19/0.65  % (30271)------------------------------
% 0.19/0.65  % (30271)------------------------------
% 2.20/0.67  % (30278)Instruction limit reached!
% 2.20/0.67  % (30278)------------------------------
% 2.20/0.67  % (30278)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.67  % (30278)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.67  % (30278)Termination reason: Unknown
% 2.20/0.67  % (30278)Termination phase: Saturation
% 2.20/0.67  
% 2.20/0.67  % (30278)Memory used [KB]: 6268
% 2.20/0.67  % (30278)Time elapsed: 0.216 s
% 2.20/0.67  % (30278)Instructions burned: 12 (million)
% 2.20/0.67  % (30278)------------------------------
% 2.20/0.67  % (30278)------------------------------
% 2.20/0.68  % (30274)Instruction limit reached!
% 2.20/0.68  % (30274)------------------------------
% 2.20/0.68  % (30274)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.68  % (30274)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.68  % (30274)Termination reason: Unknown
% 2.20/0.68  % (30274)Termination phase: Saturation
% 2.20/0.68  
% 2.20/0.68  % (30274)Memory used [KB]: 6652
% 2.20/0.68  % (30274)Time elapsed: 0.256 s
% 2.20/0.68  % (30274)Instructions burned: 39 (million)
% 2.20/0.68  % (30274)------------------------------
% 2.20/0.68  % (30274)------------------------------
% 2.20/0.69  % (30297)Instruction limit reached!
% 2.20/0.69  % (30297)------------------------------
% 2.20/0.69  % (30297)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.20/0.69  % (30297)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.20/0.69  % (30297)Termination reason: Unknown
% 2.20/0.69  % (30297)Termination phase: Saturation
% 2.20/0.69  
% 2.20/0.69  % (30297)Memory used [KB]: 6396
% 2.20/0.69  % (30297)Time elapsed: 0.261 s
% 2.20/0.69  % (30297)Instructions burned: 24 (million)
% 2.20/0.69  % (30297)------------------------------
% 2.20/0.69  % (30297)------------------------------
% 2.58/0.71  % (30290)Instruction limit reached!
% 2.58/0.71  % (30290)------------------------------
% 2.58/0.71  % (30290)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.71  % (30290)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.71  % (30290)Termination reason: Unknown
% 2.58/0.71  % (30290)Termination phase: Saturation
% 2.58/0.71  
% 2.58/0.71  % (30290)Memory used [KB]: 8187
% 2.58/0.71  % (30290)Time elapsed: 0.273 s
% 2.58/0.71  % (30290)Instructions burned: 82 (million)
% 2.58/0.71  % (30290)------------------------------
% 2.58/0.71  % (30290)------------------------------
% 2.58/0.72  % (30281)Instruction limit reached!
% 2.58/0.72  % (30281)------------------------------
% 2.58/0.72  % (30281)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.72  % (30281)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.72  % (30281)Termination reason: Unknown
% 2.58/0.72  % (30281)Termination phase: Saturation
% 2.58/0.72  
% 2.58/0.72  % (30281)Memory used [KB]: 7036
% 2.58/0.72  % (30281)Time elapsed: 0.291 s
% 2.58/0.72  % (30281)Instructions burned: 51 (million)
% 2.58/0.72  % (30281)------------------------------
% 2.58/0.72  % (30281)------------------------------
% 2.58/0.72  % (30295)Instruction limit reached!
% 2.58/0.72  % (30295)------------------------------
% 2.58/0.72  % (30295)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.72  % (30295)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.72  % (30295)Termination reason: Unknown
% 2.58/0.72  % (30295)Termination phase: Saturation
% 2.58/0.72  
% 2.58/0.72  % (30295)Memory used [KB]: 6652
% 2.58/0.72  % (30295)Time elapsed: 0.242 s
% 2.58/0.72  % (30295)Instructions burned: 26 (million)
% 2.58/0.72  % (30295)------------------------------
% 2.58/0.72  % (30295)------------------------------
% 2.58/0.72  % (30288)Instruction limit reached!
% 2.58/0.72  % (30288)------------------------------
% 2.58/0.72  % (30288)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.72  % (30288)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.72  % (30288)Termination reason: Unknown
% 2.58/0.72  % (30288)Termination phase: Saturation
% 2.58/0.72  
% 2.58/0.72  % (30288)Memory used [KB]: 6524
% 2.58/0.72  % (30288)Time elapsed: 0.275 s
% 2.58/0.72  % (30288)Instructions burned: 30 (million)
% 2.58/0.72  % (30288)------------------------------
% 2.58/0.72  % (30288)------------------------------
% 2.58/0.73  % (30291)Instruction limit reached!
% 2.58/0.73  % (30291)------------------------------
% 2.58/0.73  % (30291)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.73  % (30291)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.73  % (30291)Termination reason: Unknown
% 2.58/0.73  % (30291)Termination phase: Saturation
% 2.58/0.73  
% 2.58/0.73  % (30291)Memory used [KB]: 2302
% 2.58/0.73  % (30291)Time elapsed: 0.248 s
% 2.58/0.73  % (30291)Instructions burned: 45 (million)
% 2.58/0.73  % (30291)------------------------------
% 2.58/0.73  % (30291)------------------------------
% 2.58/0.73  % (30275)Instruction limit reached!
% 2.58/0.73  % (30275)------------------------------
% 2.58/0.73  % (30275)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.73  % (30275)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.73  % (30275)Termination reason: Unknown
% 2.58/0.73  % (30275)Termination phase: Saturation
% 2.58/0.73  
% 2.58/0.73  % (30275)Memory used [KB]: 6908
% 2.58/0.73  % (30275)Time elapsed: 0.240 s
% 2.58/0.73  % (30275)Instructions burned: 39 (million)
% 2.58/0.73  % (30275)------------------------------
% 2.58/0.73  % (30275)------------------------------
% 2.58/0.77  % (30346)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/31Mi)
% 2.58/0.77  % (30292)Instruction limit reached!
% 2.58/0.77  % (30292)------------------------------
% 2.58/0.77  % (30292)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.77  % (30292)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.77  % (30292)Termination reason: Unknown
% 2.58/0.77  % (30292)Termination phase: Saturation
% 2.58/0.77  
% 2.58/0.77  % (30292)Memory used [KB]: 6780
% 2.58/0.77  % (30292)Time elapsed: 0.293 s
% 2.58/0.77  % (30292)Instructions burned: 50 (million)
% 2.58/0.77  % (30292)------------------------------
% 2.58/0.77  % (30292)------------------------------
% 2.58/0.77  % (30340)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 (2997ds/87Mi)
% 2.58/0.77  % (30339)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 (2997ds/7Mi)
% 2.58/0.77  % (30349)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)
% 2.58/0.77  % (30339)Instruction limit reached!
% 2.58/0.77  % (30339)------------------------------
% 2.58/0.77  % (30339)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.58/0.77  % (30339)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.58/0.77  % (30339)Termination reason: Unknown
% 2.58/0.77  % (30339)Termination phase: Saturation
% 2.58/0.77  
% 2.58/0.77  % (30339)Memory used [KB]: 6140
% 2.58/0.77  % (30339)Time elapsed: 0.006 s
% 2.58/0.77  % (30339)Instructions burned: 7 (million)
% 2.58/0.77  % (30339)------------------------------
% 2.58/0.77  % (30339)------------------------------
% 2.58/0.78  % (30338)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 (2997ds/92Mi)
% 2.85/0.81  % (30276)Instruction limit reached!
% 2.85/0.81  % (30276)------------------------------
% 2.85/0.81  % (30276)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.85/0.81  % (30276)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.85/0.81  % (30276)Termination reason: Unknown
% 2.85/0.81  % (30276)Termination phase: Saturation
% 2.85/0.81  
% 2.85/0.81  % (30276)Memory used [KB]: 7036
% 2.85/0.81  % (30276)Time elapsed: 0.363 s
% 2.85/0.81  % (30276)Instructions burned: 49 (million)
% 2.85/0.81  % (30276)------------------------------
% 2.85/0.81  % (30276)------------------------------
% 2.85/0.81  % (30284)Instruction limit reached!
% 2.85/0.81  % (30284)------------------------------
% 2.85/0.81  % (30284)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.85/0.81  % (30284)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.85/0.81  % (30284)Termination reason: Unknown
% 2.85/0.81  % (30284)Termination phase: Saturation
% 2.85/0.81  
% 2.85/0.81  % (30284)Memory used [KB]: 6780
% 2.85/0.81  % (30284)Time elapsed: 0.365 s
% 2.85/0.81  % (30284)Instructions burned: 50 (million)
% 2.85/0.81  % (30284)------------------------------
% 2.85/0.81  % (30284)------------------------------
% 2.85/0.81  % (30346)Instruction limit reached!
% 2.85/0.81  % (30346)------------------------------
% 2.85/0.81  % (30346)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.85/0.81  % (30346)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.85/0.81  % (30346)Termination reason: Unknown
% 2.85/0.81  % (30346)Termination phase: Saturation
% 2.85/0.81  
% 2.85/0.81  % (30346)Memory used [KB]: 6652
% 2.85/0.81  % (30346)Time elapsed: 0.051 s
% 2.85/0.81  % (30346)Instructions burned: 31 (million)
% 2.85/0.81  % (30346)------------------------------
% 2.85/0.81  % (30346)------------------------------
% 2.85/0.85  % (30352)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)
% 2.85/0.86  % (30343)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/56Mi)
% 2.85/0.86  % (30349)First to succeed.
% 2.85/0.86  % (30349)Refutation found. Thanks to Tanya!
% 2.85/0.86  % SZS status Theorem for theBenchmark
% 2.85/0.86  % SZS output start Proof for theBenchmark
% See solution above
% 2.85/0.86  % (30349)------------------------------
% 2.85/0.86  % (30349)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.85/0.86  % (30349)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.85/0.86  % (30349)Termination reason: Refutation
% 2.85/0.86  
% 2.85/0.86  % (30349)Memory used [KB]: 7291
% 2.85/0.86  % (30349)Time elapsed: 0.113 s
% 2.85/0.86  % (30349)Instructions burned: 83 (million)
% 2.85/0.86  % (30349)------------------------------
% 2.85/0.86  % (30349)------------------------------
% 2.85/0.86  % (30267)Success in time 0.506 s
%------------------------------------------------------------------------------