TSTP Solution File: NUM604+1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUM604+1 : 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 : n003.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 18:01:09 EDT 2022

% Result   : Theorem 1.30s 0.61s
% Output   : Refutation 1.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   86 (  17 unt;   0 def)
%            Number of atoms       :  280 (  46 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  316 ( 122   ~; 117   |;  54   &)
%                                         (  13 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :   14 (  12 usr;   7 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   7 con; 0-2 aty)
%            Number of variables   :   90 (  77   !;  13   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1565,plain,
    $false,
    inference(avatar_sat_refutation,[],[f599,f605,f658,f1509,f1530,f1537,f1563]) ).

fof(f1563,plain,
    ~ spl29_43,
    inference(avatar_contradiction_clause,[],[f1562]) ).

fof(f1562,plain,
    ( $false
    | ~ spl29_43 ),
    inference(subsumption_resolution,[],[f1561,f388]) ).

fof(f388,plain,
    ~ aElementOf0(xx,xS),
    inference(cnf_transformation,[],[f105]) ).

fof(f105,plain,
    ~ aElementOf0(xx,xS),
    inference(flattening,[],[f102]) ).

fof(f102,negated_conjecture,
    ~ aElementOf0(xx,xS),
    inference(negated_conjecture,[],[f101]) ).

fof(f101,conjecture,
    aElementOf0(xx,xS),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f1561,plain,
    ( aElementOf0(xx,xS)
    | ~ spl29_43 ),
    inference(forward_demodulation,[],[f1560,f459]) ).

fof(f459,plain,
    xx = sdtlpdtrp0(xe,xi),
    inference(cnf_transformation,[],[f99]) ).

fof(f99,axiom,
    ( xx = sdtlpdtrp0(xe,xi)
    & aElementOf0(xi,szNzAzT0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5034) ).

fof(f1560,plain,
    ( aElementOf0(sdtlpdtrp0(xe,xi),xS)
    | ~ spl29_43 ),
    inference(subsumption_resolution,[],[f1559,f458]) ).

fof(f458,plain,
    aElementOf0(xi,szNzAzT0),
    inference(cnf_transformation,[],[f99]) ).

fof(f1559,plain,
    ( aElementOf0(sdtlpdtrp0(xe,xi),xS)
    | ~ aElementOf0(xi,szNzAzT0)
    | ~ spl29_43 ),
    inference(superposition,[],[f1508,f468]) ).

fof(f468,plain,
    ! [X0] :
      ( szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f199]) ).

fof(f199,plain,
    ( ! [X0] :
        ( ~ aElementOf0(X0,szNzAzT0)
        | szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0) )
    & aFunction0(xe)
    & szNzAzT0 = szDzozmdt0(xe) ),
    inference(ennf_transformation,[],[f91]) ).

fof(f91,axiom,
    ( ! [X0] :
        ( aElementOf0(X0,szNzAzT0)
       => szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0) )
    & aFunction0(xe)
    & szNzAzT0 = szDzozmdt0(xe) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4660) ).

fof(f1508,plain,
    ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),xS)
    | ~ spl29_43 ),
    inference(avatar_component_clause,[],[f1506]) ).

fof(f1506,plain,
    ( spl29_43
  <=> aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),xS) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_43])]) ).

fof(f1537,plain,
    spl29_42,
    inference(avatar_contradiction_clause,[],[f1536]) ).

fof(f1536,plain,
    ( $false
    | spl29_42 ),
    inference(subsumption_resolution,[],[f1535,f458]) ).

fof(f1535,plain,
    ( ~ aElementOf0(xi,szNzAzT0)
    | spl29_42 ),
    inference(resolution,[],[f1504,f363]) ).

fof(f363,plain,
    ! [X0] :
      ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f210]) ).

fof(f210,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
        & isCountable0(sdtlpdtrp0(xN,X0)) ) ),
    inference(ennf_transformation,[],[f82]) ).

fof(f82,axiom,
    ! [X0] :
      ( aElementOf0(X0,szNzAzT0)
     => ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
        & isCountable0(sdtlpdtrp0(xN,X0)) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3671) ).

fof(f1504,plain,
    ( ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
    | spl29_42 ),
    inference(avatar_component_clause,[],[f1502]) ).

fof(f1502,plain,
    ( spl29_42
  <=> aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_42])]) ).

fof(f1530,plain,
    ( spl29_1
    | ~ spl29_41 ),
    inference(avatar_contradiction_clause,[],[f1529]) ).

fof(f1529,plain,
    ( $false
    | spl29_1
    | ~ spl29_41 ),
    inference(subsumption_resolution,[],[f1528,f594]) ).

fof(f594,plain,
    ( ~ isCountable0(slcrc0)
    | spl29_1 ),
    inference(avatar_component_clause,[],[f592]) ).

fof(f592,plain,
    ( spl29_1
  <=> isCountable0(slcrc0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_1])]) ).

fof(f1528,plain,
    ( isCountable0(slcrc0)
    | ~ spl29_41 ),
    inference(subsumption_resolution,[],[f1523,f458]) ).

fof(f1523,plain,
    ( ~ aElementOf0(xi,szNzAzT0)
    | isCountable0(slcrc0)
    | ~ spl29_41 ),
    inference(superposition,[],[f362,f1500]) ).

fof(f1500,plain,
    ( slcrc0 = sdtlpdtrp0(xN,xi)
    | ~ spl29_41 ),
    inference(avatar_component_clause,[],[f1498]) ).

fof(f1498,plain,
    ( spl29_41
  <=> slcrc0 = sdtlpdtrp0(xN,xi) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_41])]) ).

fof(f362,plain,
    ! [X0] :
      ( isCountable0(sdtlpdtrp0(xN,X0))
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f210]) ).

fof(f1509,plain,
    ( spl29_41
    | ~ spl29_42
    | spl29_43
    | ~ spl29_5 ),
    inference(avatar_split_clause,[],[f1495,f625,f1506,f1502,f1498]) ).

fof(f625,plain,
    ( spl29_5
  <=> aSet0(xS) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_5])]) ).

fof(f1495,plain,
    ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),xS)
    | ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
    | slcrc0 = sdtlpdtrp0(xN,xi)
    | ~ spl29_5 ),
    inference(resolution,[],[f1341,f564]) ).

fof(f564,plain,
    ! [X0] :
      ( aElementOf0(szmzizndt0(X0),X0)
      | slcrc0 = X0
      | ~ aSubsetOf0(X0,szNzAzT0) ),
    inference(equality_resolution,[],[f439]) ).

fof(f439,plain,
    ! [X0,X1] :
      ( aElementOf0(X1,X0)
      | szmzizndt0(X0) != X1
      | ~ aSubsetOf0(X0,szNzAzT0)
      | slcrc0 = X0 ),
    inference(cnf_transformation,[],[f296]) ).

fof(f296,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( aElementOf0(X1,X0)
              & ! [X2] :
                  ( sdtlseqdt0(X1,X2)
                  | ~ aElementOf0(X2,X0) ) )
            | szmzizndt0(X0) != X1 )
          & ( szmzizndt0(X0) = X1
            | ~ aElementOf0(X1,X0)
            | ( ~ sdtlseqdt0(X1,sK15(X0,X1))
              & aElementOf0(sK15(X0,X1),X0) ) ) )
      | ~ aSubsetOf0(X0,szNzAzT0)
      | slcrc0 = X0 ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f294,f295]) ).

fof(f295,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( ~ sdtlseqdt0(X1,X3)
          & aElementOf0(X3,X0) )
     => ( ~ sdtlseqdt0(X1,sK15(X0,X1))
        & aElementOf0(sK15(X0,X1),X0) ) ),
    introduced(choice_axiom,[]) ).

fof(f294,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( aElementOf0(X1,X0)
              & ! [X2] :
                  ( sdtlseqdt0(X1,X2)
                  | ~ aElementOf0(X2,X0) ) )
            | szmzizndt0(X0) != X1 )
          & ( szmzizndt0(X0) = X1
            | ~ aElementOf0(X1,X0)
            | ? [X3] :
                ( ~ sdtlseqdt0(X1,X3)
                & aElementOf0(X3,X0) ) ) )
      | ~ aSubsetOf0(X0,szNzAzT0)
      | slcrc0 = X0 ),
    inference(rectify,[],[f293]) ).

fof(f293,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( aElementOf0(X1,X0)
              & ! [X2] :
                  ( sdtlseqdt0(X1,X2)
                  | ~ aElementOf0(X2,X0) ) )
            | szmzizndt0(X0) != X1 )
          & ( szmzizndt0(X0) = X1
            | ~ aElementOf0(X1,X0)
            | ? [X2] :
                ( ~ sdtlseqdt0(X1,X2)
                & aElementOf0(X2,X0) ) ) )
      | ~ aSubsetOf0(X0,szNzAzT0)
      | slcrc0 = X0 ),
    inference(flattening,[],[f292]) ).

fof(f292,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( aElementOf0(X1,X0)
              & ! [X2] :
                  ( sdtlseqdt0(X1,X2)
                  | ~ aElementOf0(X2,X0) ) )
            | szmzizndt0(X0) != X1 )
          & ( szmzizndt0(X0) = X1
            | ~ aElementOf0(X1,X0)
            | ? [X2] :
                ( ~ sdtlseqdt0(X1,X2)
                & aElementOf0(X2,X0) ) ) )
      | ~ aSubsetOf0(X0,szNzAzT0)
      | slcrc0 = X0 ),
    inference(nnf_transformation,[],[f130]) ).

fof(f130,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( aElementOf0(X1,X0)
            & ! [X2] :
                ( sdtlseqdt0(X1,X2)
                | ~ aElementOf0(X2,X0) ) )
        <=> szmzizndt0(X0) = X1 )
      | ~ aSubsetOf0(X0,szNzAzT0)
      | slcrc0 = X0 ),
    inference(flattening,[],[f129]) ).

fof(f129,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( aElementOf0(X1,X0)
            & ! [X2] :
                ( sdtlseqdt0(X1,X2)
                | ~ aElementOf0(X2,X0) ) )
        <=> szmzizndt0(X0) = X1 )
      | ~ aSubsetOf0(X0,szNzAzT0)
      | slcrc0 = X0 ),
    inference(ennf_transformation,[],[f47]) ).

fof(f47,axiom,
    ! [X0] :
      ( ( aSubsetOf0(X0,szNzAzT0)
        & slcrc0 != X0 )
     => ! [X1] :
          ( ( aElementOf0(X1,X0)
            & ! [X2] :
                ( aElementOf0(X2,X0)
               => sdtlseqdt0(X1,X2) ) )
        <=> szmzizndt0(X0) = X1 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMin) ).

fof(f1341,plain,
    ( ! [X5] :
        ( ~ aElementOf0(X5,sdtlpdtrp0(xN,xi))
        | aElementOf0(X5,xS) )
    | ~ spl29_5 ),
    inference(subsumption_resolution,[],[f1320,f626]) ).

fof(f626,plain,
    ( aSet0(xS)
    | ~ spl29_5 ),
    inference(avatar_component_clause,[],[f625]) ).

fof(f1320,plain,
    ! [X5] :
      ( ~ aElementOf0(X5,sdtlpdtrp0(xN,xi))
      | aElementOf0(X5,xS)
      | ~ aSet0(xS) ),
    inference(resolution,[],[f372,f423]) ).

fof(f423,plain,
    aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
    inference(cnf_transformation,[],[f100]) ).

fof(f100,axiom,
    aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5045) ).

fof(f372,plain,
    ! [X2,X0,X1] :
      ( ~ aSubsetOf0(X1,X0)
      | aElementOf0(X2,X0)
      | ~ aElementOf0(X2,X1)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f264]) ).

fof(f264,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( ! [X2] :
                  ( aElementOf0(X2,X0)
                  | ~ aElementOf0(X2,X1) )
              & aSet0(X1) )
            | ~ aSubsetOf0(X1,X0) )
          & ( aSubsetOf0(X1,X0)
            | ( ~ aElementOf0(sK5(X0,X1),X0)
              & aElementOf0(sK5(X0,X1),X1) )
            | ~ aSet0(X1) ) )
      | ~ aSet0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f262,f263]) ).

fof(f263,plain,
    ! [X0,X1] :
      ( ? [X3] :
          ( ~ aElementOf0(X3,X0)
          & aElementOf0(X3,X1) )
     => ( ~ aElementOf0(sK5(X0,X1),X0)
        & aElementOf0(sK5(X0,X1),X1) ) ),
    introduced(choice_axiom,[]) ).

fof(f262,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,[],[f261]) ).

fof(f261,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,[],[f260]) ).

fof(f260,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,[],[f209]) ).

fof(f209,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)
        <=> ( ! [X2] :
                ( aElementOf0(X2,X1)
               => aElementOf0(X2,X0) )
            & aSet0(X1) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).

fof(f658,plain,
    spl29_5,
    inference(avatar_split_clause,[],[f657,f625]) ).

fof(f657,plain,
    aSet0(xS),
    inference(subsumption_resolution,[],[f653,f515]) ).

fof(f515,plain,
    aSet0(szNzAzT0),
    inference(cnf_transformation,[],[f23]) ).

fof(f23,axiom,
    ( isCountable0(szNzAzT0)
    & aSet0(szNzAzT0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).

fof(f653,plain,
    ( aSet0(xS)
    | ~ aSet0(szNzAzT0) ),
    inference(resolution,[],[f371,f448]) ).

fof(f448,plain,
    aSubsetOf0(xS,szNzAzT0),
    inference(cnf_transformation,[],[f75]) ).

fof(f75,axiom,
    ( isCountable0(xS)
    & aSubsetOf0(xS,szNzAzT0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3435) ).

fof(f371,plain,
    ! [X0,X1] :
      ( ~ aSubsetOf0(X1,X0)
      | ~ aSet0(X0)
      | aSet0(X1) ),
    inference(cnf_transformation,[],[f264]) ).

fof(f605,plain,
    spl29_2,
    inference(avatar_split_clause,[],[f583,f596]) ).

fof(f596,plain,
    ( spl29_2
  <=> aSet0(slcrc0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl29_2])]) ).

fof(f583,plain,
    aSet0(slcrc0),
    inference(equality_resolution,[],[f535]) ).

fof(f535,plain,
    ! [X0] :
      ( aSet0(X0)
      | slcrc0 != X0 ),
    inference(cnf_transformation,[],[f339]) ).

fof(f339,plain,
    ! [X0] :
      ( ( ( aSet0(X0)
          & ! [X1] : ~ aElementOf0(X1,X0) )
        | slcrc0 != X0 )
      & ( slcrc0 = X0
        | ~ aSet0(X0)
        | aElementOf0(sK23(X0),X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK23])],[f337,f338]) ).

fof(f338,plain,
    ! [X0] :
      ( ? [X2] : aElementOf0(X2,X0)
     => aElementOf0(sK23(X0),X0) ),
    introduced(choice_axiom,[]) ).

fof(f337,plain,
    ! [X0] :
      ( ( ( aSet0(X0)
          & ! [X1] : ~ aElementOf0(X1,X0) )
        | slcrc0 != X0 )
      & ( slcrc0 = X0
        | ~ aSet0(X0)
        | ? [X2] : aElementOf0(X2,X0) ) ),
    inference(rectify,[],[f336]) ).

fof(f336,plain,
    ! [X0] :
      ( ( ( aSet0(X0)
          & ! [X1] : ~ aElementOf0(X1,X0) )
        | slcrc0 != X0 )
      & ( slcrc0 = X0
        | ~ aSet0(X0)
        | ? [X1] : aElementOf0(X1,X0) ) ),
    inference(flattening,[],[f335]) ).

fof(f335,plain,
    ! [X0] :
      ( ( ( aSet0(X0)
          & ! [X1] : ~ aElementOf0(X1,X0) )
        | slcrc0 != X0 )
      & ( slcrc0 = X0
        | ~ aSet0(X0)
        | ? [X1] : aElementOf0(X1,X0) ) ),
    inference(nnf_transformation,[],[f159]) ).

fof(f159,plain,
    ! [X0] :
      ( ( aSet0(X0)
        & ! [X1] : ~ aElementOf0(X1,X0) )
    <=> slcrc0 = X0 ),
    inference(ennf_transformation,[],[f5]) ).

fof(f5,axiom,
    ! [X0] :
      ( ( ~ ? [X1] : aElementOf0(X1,X0)
        & aSet0(X0) )
    <=> slcrc0 = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).

fof(f599,plain,
    ( ~ spl29_1
    | ~ spl29_2 ),
    inference(avatar_split_clause,[],[f563,f596,f592]) ).

fof(f563,plain,
    ( ~ aSet0(slcrc0)
    | ~ isCountable0(slcrc0) ),
    inference(equality_resolution,[],[f432]) ).

fof(f432,plain,
    ! [X0] :
      ( ~ aSet0(X0)
      | slcrc0 != X0
      | ~ isCountable0(X0) ),
    inference(cnf_transformation,[],[f208]) ).

fof(f208,plain,
    ! [X0] :
      ( ~ aSet0(X0)
      | slcrc0 != X0
      | ~ isCountable0(X0) ),
    inference(flattening,[],[f207]) ).

fof(f207,plain,
    ! [X0] :
      ( slcrc0 != X0
      | ~ isCountable0(X0)
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f9]) ).

fof(f9,axiom,
    ! [X0] :
      ( ( isCountable0(X0)
        & aSet0(X0) )
     => slcrc0 != X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCountNFin_01) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : NUM604+1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.14/0.35  % Computer : n003.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 30 07:19:07 EDT 2022
% 0.14/0.36  % CPUTime    : 
% 0.20/0.49  % (21541)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)
% 0.20/0.50  % (21549)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)
% 0.20/0.51  % (21566)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)
% 0.20/0.51  % (21549)Instruction limit reached!
% 0.20/0.51  % (21549)------------------------------
% 0.20/0.51  % (21549)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (21542)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  % (21538)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.20/0.52  % (21566)Instruction limit reached!
% 0.20/0.52  % (21566)------------------------------
% 0.20/0.52  % (21566)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (21549)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (21549)Termination reason: Unknown
% 0.20/0.52  % (21549)Termination phase: Property scanning
% 0.20/0.52  
% 0.20/0.52  % (21549)Memory used [KB]: 1791
% 0.20/0.52  % (21549)Time elapsed: 0.007 s
% 0.20/0.52  % (21549)Instructions burned: 9 (million)
% 0.20/0.52  % (21549)------------------------------
% 0.20/0.52  % (21549)------------------------------
% 1.19/0.53  % (21553)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)
% 1.19/0.53  % (21552)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)
% 1.19/0.53  % (21552)Instruction limit reached!
% 1.19/0.53  % (21552)------------------------------
% 1.19/0.53  % (21552)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.19/0.53  % (21552)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.19/0.53  % (21552)Termination reason: Unknown
% 1.19/0.53  % (21552)Termination phase: Preprocessing 3
% 1.19/0.53  
% 1.19/0.53  % (21552)Memory used [KB]: 1663
% 1.19/0.53  % (21552)Time elapsed: 0.003 s
% 1.19/0.53  % (21552)Instructions burned: 3 (million)
% 1.19/0.53  % (21552)------------------------------
% 1.19/0.53  % (21552)------------------------------
% 1.19/0.53  % (21566)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.19/0.53  % (21566)Termination reason: Unknown
% 1.19/0.53  % (21566)Termination phase: Saturation
% 1.19/0.53  
% 1.19/0.53  % (21566)Memory used [KB]: 6652
% 1.19/0.53  % (21566)Time elapsed: 0.117 s
% 1.19/0.53  % (21566)Instructions burned: 25 (million)
% 1.19/0.53  % (21566)------------------------------
% 1.19/0.53  % (21566)------------------------------
% 1.19/0.54  % (21546)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)
% 1.19/0.54  % (21558)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)
% 1.19/0.54  % (21561)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)
% 1.19/0.54  % (21562)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)
% 1.19/0.54  % (21550)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)
% 1.30/0.54  % (21540)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)
% 1.30/0.54  % (21545)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)
% 1.30/0.54  % (21540)Instruction limit reached!
% 1.30/0.54  % (21540)------------------------------
% 1.30/0.54  % (21540)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.54  % (21540)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.54  % (21540)Termination reason: Unknown
% 1.30/0.54  % (21540)Termination phase: Preprocessing 3
% 1.30/0.54  
% 1.30/0.54  % (21540)Memory used [KB]: 1663
% 1.30/0.54  % (21540)Time elapsed: 0.003 s
% 1.30/0.54  % (21540)Instructions burned: 4 (million)
% 1.30/0.54  % (21540)------------------------------
% 1.30/0.54  % (21540)------------------------------
% 1.30/0.55  % (21539)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)
% 1.30/0.55  % (21543)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)
% 1.30/0.55  % (21544)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)
% 1.30/0.55  % (21542)Instruction limit reached!
% 1.30/0.55  % (21542)------------------------------
% 1.30/0.55  % (21542)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.55  % (21551)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)
% 1.30/0.55  % (21542)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.55  % (21542)Termination reason: Unknown
% 1.30/0.55  % (21542)Termination phase: Saturation
% 1.30/0.55  
% 1.30/0.55  % (21542)Memory used [KB]: 6396
% 1.30/0.55  % (21542)Time elapsed: 0.010 s
% 1.30/0.55  % (21542)Instructions burned: 14 (million)
% 1.30/0.55  % (21542)------------------------------
% 1.30/0.55  % (21542)------------------------------
% 1.30/0.55  % (21567)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)
% 1.30/0.55  % (21554)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)
% 1.30/0.55  % (21553)Instruction limit reached!
% 1.30/0.55  % (21553)------------------------------
% 1.30/0.55  % (21553)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.55  % (21553)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.55  % (21553)Termination reason: Unknown
% 1.30/0.55  % (21553)Termination phase: Property scanning
% 1.30/0.55  
% 1.30/0.55  % (21553)Memory used [KB]: 1791
% 1.30/0.55  % (21553)Time elapsed: 0.005 s
% 1.30/0.55  % (21553)Instructions burned: 8 (million)
% 1.30/0.55  % (21553)------------------------------
% 1.30/0.55  % (21553)------------------------------
% 1.30/0.55  % (21563)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)
% 1.30/0.56  % (21557)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)
% 1.30/0.56  % (21550)Instruction limit reached!
% 1.30/0.56  % (21550)------------------------------
% 1.30/0.56  % (21550)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.56  % (21550)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.56  % (21550)Termination reason: Unknown
% 1.30/0.56  % (21550)Termination phase: Saturation
% 1.30/0.56  
% 1.30/0.56  % (21550)Memory used [KB]: 1918
% 1.30/0.56  % (21550)Time elapsed: 0.014 s
% 1.30/0.56  % (21550)Instructions burned: 16 (million)
% 1.30/0.56  % (21550)------------------------------
% 1.30/0.56  % (21550)------------------------------
% 1.30/0.56  % (21556)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)
% 1.30/0.56  % (21556)Instruction limit reached!
% 1.30/0.56  % (21556)------------------------------
% 1.30/0.56  % (21556)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.56  % (21556)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.56  % (21556)Termination reason: Unknown
% 1.30/0.56  % (21556)Termination phase: Preprocessing 2
% 1.30/0.56  
% 1.30/0.56  % (21556)Memory used [KB]: 1535
% 1.30/0.56  % (21556)Time elapsed: 0.002 s
% 1.30/0.56  % (21556)Instructions burned: 3 (million)
% 1.30/0.56  % (21556)------------------------------
% 1.30/0.56  % (21556)------------------------------
% 1.30/0.56  % (21568)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)
% 1.30/0.56  % (21547)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)
% 1.30/0.56  % (21541)Instruction limit reached!
% 1.30/0.56  % (21541)------------------------------
% 1.30/0.56  % (21541)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.56  % (21548)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)
% 1.30/0.56  % (21557)Instruction limit reached!
% 1.30/0.56  % (21557)------------------------------
% 1.30/0.56  % (21557)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.56  % (21557)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.56  % (21557)Termination reason: Unknown
% 1.30/0.56  % (21557)Termination phase: Saturation
% 1.30/0.56  
% 1.30/0.56  % (21557)Memory used [KB]: 6396
% 1.30/0.56  % (21557)Time elapsed: 0.007 s
% 1.30/0.56  % (21557)Instructions burned: 12 (million)
% 1.30/0.56  % (21557)------------------------------
% 1.30/0.56  % (21557)------------------------------
% 1.30/0.57  % (21559)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)
% 1.30/0.57  % (21541)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.57  % (21541)Termination reason: Unknown
% 1.30/0.57  % (21541)Termination phase: Saturation
% 1.30/0.57  
% 1.30/0.57  % (21541)Memory used [KB]: 7164
% 1.30/0.57  % (21541)Time elapsed: 0.151 s
% 1.30/0.57  % (21541)Instructions burned: 52 (million)
% 1.30/0.57  % (21541)------------------------------
% 1.30/0.57  % (21541)------------------------------
% 1.30/0.57  % (21548)Instruction limit reached!
% 1.30/0.57  % (21548)------------------------------
% 1.30/0.57  % (21548)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.57  % (21548)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.57  % (21548)Termination reason: Unknown
% 1.30/0.57  % (21548)Termination phase: Saturation
% 1.30/0.57  
% 1.30/0.57  % (21548)Memory used [KB]: 1918
% 1.30/0.57  % (21548)Time elapsed: 0.007 s
% 1.30/0.57  % (21548)Instructions burned: 13 (million)
% 1.30/0.57  % (21548)------------------------------
% 1.30/0.57  % (21548)------------------------------
% 1.30/0.57  % (21555)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 1.30/0.57  % (21555)Instruction limit reached!
% 1.30/0.57  % (21555)------------------------------
% 1.30/0.57  % (21555)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.57  % (21555)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.57  % (21555)Termination reason: Unknown
% 1.30/0.57  % (21555)Termination phase: Naming
% 1.30/0.57  
% 1.30/0.57  % (21555)Memory used [KB]: 1663
% 1.30/0.57  % (21555)Time elapsed: 0.003 s
% 1.30/0.57  % (21555)Instructions burned: 3 (million)
% 1.30/0.57  % (21555)------------------------------
% 1.30/0.57  % (21555)------------------------------
% 1.30/0.57  % (21560)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)
% 1.30/0.57  % (21539)Instruction limit reached!
% 1.30/0.57  % (21539)------------------------------
% 1.30/0.57  % (21539)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.57  % (21539)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.57  % (21539)Termination reason: Unknown
% 1.30/0.57  % (21539)Termination phase: Saturation
% 1.30/0.57  
% 1.30/0.57  % (21539)Memory used [KB]: 6396
% 1.30/0.57  % (21539)Time elapsed: 0.008 s
% 1.30/0.57  % (21539)Instructions burned: 13 (million)
% 1.30/0.57  % (21539)------------------------------
% 1.30/0.57  % (21539)------------------------------
% 1.30/0.57  % (21565)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)
% 1.30/0.57  % (21543)Instruction limit reached!
% 1.30/0.57  % (21543)------------------------------
% 1.30/0.57  % (21543)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.57  % (21543)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.57  % (21543)Termination reason: Unknown
% 1.30/0.57  % (21543)Termination phase: Saturation
% 1.30/0.57  
% 1.30/0.57  % (21543)Memory used [KB]: 1918
% 1.30/0.57  % (21543)Time elapsed: 0.162 s
% 1.30/0.57  % (21543)Instructions burned: 16 (million)
% 1.30/0.57  % (21543)------------------------------
% 1.30/0.57  % (21543)------------------------------
% 1.30/0.58  % (21558)Instruction limit reached!
% 1.30/0.58  % (21558)------------------------------
% 1.30/0.58  % (21558)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.58  % (21567)Instruction limit reached!
% 1.30/0.58  % (21567)------------------------------
% 1.30/0.58  % (21567)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.58  % (21567)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.58  % (21567)Termination reason: Unknown
% 1.30/0.58  % (21567)Termination phase: Property scanning
% 1.30/0.58  
% 1.30/0.58  % (21567)Memory used [KB]: 1791
% 1.30/0.58  % (21567)Time elapsed: 0.006 s
% 1.30/0.58  % (21567)Instructions burned: 10 (million)
% 1.30/0.58  % (21567)------------------------------
% 1.30/0.58  % (21567)------------------------------
% 1.30/0.58  % (21558)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.58  % (21558)Termination reason: Unknown
% 1.30/0.58  % (21558)Termination phase: Saturation
% 1.30/0.58  
% 1.30/0.58  % (21558)Memory used [KB]: 6652
% 1.30/0.58  % (21558)Time elapsed: 0.160 s
% 1.30/0.58  % (21558)Instructions burned: 30 (million)
% 1.30/0.58  % (21558)------------------------------
% 1.30/0.58  % (21558)------------------------------
% 1.30/0.60  % (21538)First to succeed.
% 1.30/0.61  % (21538)Refutation found. Thanks to Tanya!
% 1.30/0.61  % SZS status Theorem for theBenchmark
% 1.30/0.61  % SZS output start Proof for theBenchmark
% See solution above
% 1.30/0.61  % (21538)------------------------------
% 1.30/0.61  % (21538)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.61  % (21538)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.61  % (21538)Termination reason: Refutation
% 1.30/0.61  
% 1.30/0.61  % (21538)Memory used [KB]: 6780
% 1.30/0.61  % (21538)Time elapsed: 0.197 s
% 1.30/0.61  % (21538)Instructions burned: 42 (million)
% 1.30/0.61  % (21538)------------------------------
% 1.30/0.61  % (21538)------------------------------
% 1.30/0.61  % (21535)Success in time 0.233 s
%------------------------------------------------------------------------------