TSTP Solution File: NUM633+3 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : NUM633+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_sat --cores 0 -t %d %s

% Computer : n023.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 18:06:14 EDT 2022

% Result   : Theorem 2.19s 0.66s
% Output   : Refutation 2.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   91 (  20 unt;   3 typ;   0 def)
%            Number of atoms       :  588 ( 106 equ)
%            Maximal formula atoms :   32 (   6 avg)
%            Number of connectives :  705 ( 205   ~; 160   |; 285   &)
%                                         (  10 <=>;  45  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   6 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of types       :    4 (   0 usr;   3 ari)
%            Number of type conns  :    6 (   3   >;   3   *;   0   +;   0  <<)
%            Number of predicates  :   16 (  14 usr;   1 prp; 0-2 aty)
%            Number of functors    :   26 (  26 usr;  11 con; 0-2 aty)
%            Number of variables   :  195 ( 155   !;  40   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
tff(pred_def_38,type,
    sQ78_eqProxy: ( $int * $int ) > $o ).

tff(pred_def_39,type,
    sQ79_eqProxy: ( $rat * $rat ) > $o ).

tff(pred_def_40,type,
    sQ80_eqProxy: ( $real * $real ) > $o ).

fof(f2197,plain,
    $false,
    inference(subsumption_resolution,[],[f2192,f1378]) ).

fof(f1378,plain,
    aElementOf0(szDzizrdt0(xd),xT),
    inference(literal_reordering,[],[f651]) ).

fof(f651,plain,
    aElementOf0(szDzizrdt0(xd),xT),
    inference(cnf_transformation,[],[f359]) ).

fof(f359,plain,
    ( aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
    & ! [X0] :
        ( ( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          | ~ aElementOf0(X0,szDzozmdt0(xd))
          | sdtlpdtrp0(xd,X0) != szDzizrdt0(xd) )
        & ( ( aElementOf0(X0,szDzozmdt0(xd))
            & sdtlpdtrp0(xd,X0) = szDzizrdt0(xd) )
          | ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
    & aElementOf0(szDzizrdt0(xd),xT) ),
    inference(flattening,[],[f358]) ).

fof(f358,plain,
    ( aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
    & ! [X0] :
        ( ( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          | ~ aElementOf0(X0,szDzozmdt0(xd))
          | sdtlpdtrp0(xd,X0) != szDzizrdt0(xd) )
        & ( ( aElementOf0(X0,szDzozmdt0(xd))
            & sdtlpdtrp0(xd,X0) = szDzizrdt0(xd) )
          | ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
    & aElementOf0(szDzizrdt0(xd),xT) ),
    inference(nnf_transformation,[],[f94]) ).

fof(f94,axiom,
    ( aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
    & ! [X0] :
        ( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
      <=> ( aElementOf0(X0,szDzozmdt0(xd))
          & sdtlpdtrp0(xd,X0) = szDzizrdt0(xd) ) )
    & aElementOf0(szDzizrdt0(xd),xT) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4854) ).

fof(f2192,plain,
    ~ aElementOf0(szDzizrdt0(xd),xT),
    inference(resolution,[],[f2151,f1856]) ).

fof(f1856,plain,
    ! [X1] :
      ( sP9(xO,X1)
      | ~ aElementOf0(X1,xT) ),
    inference(subsumption_resolution,[],[f1853,f1180]) ).

fof(f1180,plain,
    isCountable0(xO),
    inference(literal_reordering,[],[f889]) ).

fof(f889,plain,
    isCountable0(xO),
    inference(cnf_transformation,[],[f96]) ).

fof(f96,axiom,
    ( aSet0(xO)
    & isCountable0(xO) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4908) ).

fof(f1853,plain,
    ! [X1] :
      ( sP9(xO,X1)
      | ~ isCountable0(xO)
      | ~ aElementOf0(X1,xT) ),
    inference(resolution,[],[f1740,f1718]) ).

fof(f1718,plain,
    aSubsetOf0(xO,sdtlpdtrp0(xN,sbrdtbr0(slcrc0))),
    inference(backward_demodulation,[],[f1365,f1704]) ).

fof(f1704,plain,
    xS = sdtlpdtrp0(xN,sbrdtbr0(slcrc0)),
    inference(backward_demodulation,[],[f1360,f1702]) ).

fof(f1702,plain,
    sz00 = sbrdtbr0(slcrc0),
    inference(subsumption_resolution,[],[f1357,f1389]) ).

fof(f1389,plain,
    aSet0(slcrc0),
    inference(literal_reordering,[],[f973]) ).

fof(f973,plain,
    aSet0(slcrc0),
    inference(equality_resolution,[],[f791]) ).

fof(f791,plain,
    ! [X0] :
      ( aSet0(X0)
      | slcrc0 != X0 ),
    inference(cnf_transformation,[],[f450]) ).

fof(f450,plain,
    ! [X0] :
      ( ( ( aSet0(X0)
          & ! [X1] : ~ aElementOf0(X1,X0) )
        | slcrc0 != X0 )
      & ( slcrc0 = X0
        | ~ aSet0(X0)
        | aElementOf0(sK61(X0),X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK61])],[f448,f449]) ).

fof(f449,plain,
    ! [X0] :
      ( ? [X2] : aElementOf0(X2,X0)
     => aElementOf0(sK61(X0),X0) ),
    introduced(choice_axiom,[]) ).

fof(f448,plain,
    ! [X0] :
      ( ( ( aSet0(X0)
          & ! [X1] : ~ aElementOf0(X1,X0) )
        | slcrc0 != X0 )
      & ( slcrc0 = X0
        | ~ aSet0(X0)
        | ? [X2] : aElementOf0(X2,X0) ) ),
    inference(rectify,[],[f447]) ).

fof(f447,plain,
    ! [X0] :
      ( ( ( aSet0(X0)
          & ! [X1] : ~ aElementOf0(X1,X0) )
        | slcrc0 != X0 )
      & ( slcrc0 = X0
        | ~ aSet0(X0)
        | ? [X1] : aElementOf0(X1,X0) ) ),
    inference(flattening,[],[f446]) ).

fof(f446,plain,
    ! [X0] :
      ( ( ( aSet0(X0)
          & ! [X1] : ~ aElementOf0(X1,X0) )
        | slcrc0 != X0 )
      & ( slcrc0 = X0
        | ~ aSet0(X0)
        | ? [X1] : aElementOf0(X1,X0) ) ),
    inference(nnf_transformation,[],[f153]) ).

fof(f153,plain,
    ! [X0] :
      ( ( aSet0(X0)
        & ! [X1] : ~ aElementOf0(X1,X0) )
    <=> slcrc0 = X0 ),
    inference(ennf_transformation,[],[f5]) ).

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

fof(f1357,plain,
    ( sz00 = sbrdtbr0(slcrc0)
    | ~ aSet0(slcrc0) ),
    inference(literal_reordering,[],[f981]) ).

fof(f981,plain,
    ( sz00 = sbrdtbr0(slcrc0)
    | ~ aSet0(slcrc0) ),
    inference(equality_resolution,[],[f905]) ).

fof(f905,plain,
    ! [X0] :
      ( ~ aSet0(X0)
      | sz00 = sbrdtbr0(X0)
      | slcrc0 != X0 ),
    inference(cnf_transformation,[],[f502]) ).

fof(f502,plain,
    ! [X0] :
      ( ~ aSet0(X0)
      | ( ( sz00 = sbrdtbr0(X0)
          | slcrc0 != X0 )
        & ( slcrc0 = X0
          | sz00 != sbrdtbr0(X0) ) ) ),
    inference(nnf_transformation,[],[f140]) ).

fof(f140,plain,
    ! [X0] :
      ( ~ aSet0(X0)
      | ( sz00 = sbrdtbr0(X0)
      <=> slcrc0 = X0 ) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f42,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ( sz00 = sbrdtbr0(X0)
      <=> slcrc0 = X0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardEmpty) ).

fof(f1360,plain,
    xS = sdtlpdtrp0(xN,sz00),
    inference(literal_reordering,[],[f780]) ).

fof(f780,plain,
    xS = sdtlpdtrp0(xN,sz00),
    inference(cnf_transformation,[],[f443]) ).

fof(f443,plain,
    ( ! [X0] :
        ( ~ aElementOf0(X0,szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X0))
        | ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
          & ( ( aElementOf0(sK59(X0),sdtlpdtrp0(xN,X0))
              & ~ aElementOf0(sK59(X0),szNzAzT0) )
            | ~ aSet0(sdtlpdtrp0(xN,X0)) ) )
        | sP17(X0) )
    & szNzAzT0 = szDzozmdt0(xN)
    & xS = sdtlpdtrp0(xN,sz00)
    & aFunction0(xN) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK59])],[f286,f442]) ).

fof(f442,plain,
    ! [X0] :
      ( ? [X1] :
          ( aElementOf0(X1,sdtlpdtrp0(xN,X0))
          & ~ aElementOf0(X1,szNzAzT0) )
     => ( aElementOf0(sK59(X0),sdtlpdtrp0(xN,X0))
        & ~ aElementOf0(sK59(X0),szNzAzT0) ) ),
    introduced(choice_axiom,[]) ).

fof(f286,plain,
    ( ! [X0] :
        ( ~ aElementOf0(X0,szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X0))
        | ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
          & ( ? [X1] :
                ( aElementOf0(X1,sdtlpdtrp0(xN,X0))
                & ~ aElementOf0(X1,szNzAzT0) )
            | ~ aSet0(sdtlpdtrp0(xN,X0)) ) )
        | sP17(X0) )
    & szNzAzT0 = szDzozmdt0(xN)
    & xS = sdtlpdtrp0(xN,sz00)
    & aFunction0(xN) ),
    inference(definition_folding,[],[f231,f285,f284]) ).

fof(f284,plain,
    ! [X0] :
      ( ! [X2] :
          ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X2
            & aElementOf0(X2,sdtlpdtrp0(xN,X0))
            & aElement0(X2) )
        <=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
      | ~ sP16(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).

fof(f285,plain,
    ! [X0] :
      ( ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
        & ! [X3] :
            ( ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
            | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3) )
        & ! [X4] :
            ( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
            | ~ aElementOf0(X4,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
        & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
        & isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
        & aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
        & aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
        & sP16(X0) )
      | ~ sP17(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).

fof(f231,plain,
    ( ! [X0] :
        ( ~ aElementOf0(X0,szNzAzT0)
        | ~ isCountable0(sdtlpdtrp0(xN,X0))
        | ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
          & ( ? [X1] :
                ( aElementOf0(X1,sdtlpdtrp0(xN,X0))
                & ~ aElementOf0(X1,szNzAzT0) )
            | ~ aSet0(sdtlpdtrp0(xN,X0)) ) )
        | ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
          & ! [X3] :
              ( ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
              | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3) )
          & ! [X4] :
              ( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
              | ~ aElementOf0(X4,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
          & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
          & isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
          & aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
          & aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
          & ! [X2] :
              ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X2
                & aElementOf0(X2,sdtlpdtrp0(xN,X0))
                & aElement0(X2) )
            <=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) )
    & szNzAzT0 = szDzozmdt0(xN)
    & xS = sdtlpdtrp0(xN,sz00)
    & aFunction0(xN) ),
    inference(flattening,[],[f230]) ).

fof(f230,plain,
    ( szNzAzT0 = szDzozmdt0(xN)
    & xS = sdtlpdtrp0(xN,sz00)
    & aFunction0(xN)
    & ! [X0] :
        ( ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
          & ! [X3] :
              ( ~ aElementOf0(X3,sdtlpdtrp0(xN,X0))
              | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3) )
          & ! [X4] :
              ( aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
              | ~ aElementOf0(X4,sdtlpdtrp0(xN,szszuzczcdt0(X0))) )
          & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
          & isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
          & aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
          & aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
          & ! [X2] :
              ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X2
                & aElementOf0(X2,sdtlpdtrp0(xN,X0))
                & aElement0(X2) )
            <=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) )
        | ~ isCountable0(sdtlpdtrp0(xN,X0))
        | ( ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
          & ( ? [X1] :
                ( aElementOf0(X1,sdtlpdtrp0(xN,X0))
                & ~ aElementOf0(X1,szNzAzT0) )
            | ~ aSet0(sdtlpdtrp0(xN,X0)) ) )
        | ~ aElementOf0(X0,szNzAzT0) ) ),
    inference(ennf_transformation,[],[f117]) ).

fof(f117,plain,
    ( szNzAzT0 = szDzozmdt0(xN)
    & xS = sdtlpdtrp0(xN,sz00)
    & aFunction0(xN)
    & ! [X0] :
        ( aElementOf0(X0,szNzAzT0)
       => ( ( isCountable0(sdtlpdtrp0(xN,X0))
            & ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
              | ( ! [X1] :
                    ( aElementOf0(X1,sdtlpdtrp0(xN,X0))
                   => aElementOf0(X1,szNzAzT0) )
                & aSet0(sdtlpdtrp0(xN,X0)) ) ) )
         => ( aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
            & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
            & ! [X2] :
                ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X2
                  & aElementOf0(X2,sdtlpdtrp0(xN,X0))
                  & aElement0(X2) )
              <=> aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
            & ! [X3] :
                ( aElementOf0(X3,sdtlpdtrp0(xN,X0))
               => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X3) )
            & ! [X4] :
                ( aElementOf0(X4,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
               => aElementOf0(X4,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
            & aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
            & isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
            & aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) ) ) ) ),
    inference(rectify,[],[f81]) ).

fof(f81,axiom,
    ( aFunction0(xN)
    & xS = sdtlpdtrp0(xN,sz00)
    & szNzAzT0 = szDzozmdt0(xN)
    & ! [X0] :
        ( aElementOf0(X0,szNzAzT0)
       => ( ( isCountable0(sdtlpdtrp0(xN,X0))
            & ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
              | ( ! [X1] :
                    ( aElementOf0(X1,sdtlpdtrp0(xN,X0))
                   => aElementOf0(X1,szNzAzT0) )
                & aSet0(sdtlpdtrp0(xN,X0)) ) ) )
         => ( ! [X1] :
                ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
              <=> ( aElement0(X1)
                  & aElementOf0(X1,sdtlpdtrp0(xN,X0))
                  & szmzizndt0(sdtlpdtrp0(xN,X0)) != X1 ) )
            & ! [X1] :
                ( aElementOf0(X1,sdtlpdtrp0(xN,X0))
               => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1) )
            & ! [X1] :
                ( aElementOf0(X1,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
               => aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
            & isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
            & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
            & aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
            & aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
            & aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3623) ).

fof(f1365,plain,
    aSubsetOf0(xO,xS),
    inference(literal_reordering,[],[f517]) ).

fof(f517,plain,
    aSubsetOf0(xO,xS),
    inference(cnf_transformation,[],[f201]) ).

fof(f201,plain,
    ( ! [X0] :
        ( aElementOf0(X0,xS)
        | ~ aElementOf0(X0,xO) )
    & aSubsetOf0(xO,xS) ),
    inference(ennf_transformation,[],[f98]) ).

fof(f98,axiom,
    ( ! [X0] :
        ( aElementOf0(X0,xO)
       => aElementOf0(X0,xS) )
    & aSubsetOf0(xO,xS) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4998) ).

fof(f1740,plain,
    ! [X0,X1] :
      ( ~ aSubsetOf0(X1,sdtlpdtrp0(xN,sbrdtbr0(slcrc0)))
      | sP9(X1,X0)
      | ~ isCountable0(X1)
      | ~ aElementOf0(X0,xT) ),
    inference(forward_demodulation,[],[f1117,f1704]) ).

fof(f1117,plain,
    ! [X0,X1] :
      ( ~ isCountable0(X1)
      | ~ aSubsetOf0(X1,xS)
      | sP9(X1,X0)
      | ~ aElementOf0(X0,xT) ),
    inference(literal_reordering,[],[f634]) ).

fof(f634,plain,
    ! [X0,X1] :
      ( sP9(X1,X0)
      | ~ isCountable0(X1)
      | ~ aSubsetOf0(X1,xS)
      | ~ aElementOf0(X0,xT) ),
    inference(cnf_transformation,[],[f350]) ).

fof(f350,plain,
    ( ! [X0] :
        ( ! [X1] :
            ( ~ isCountable0(X1)
            | ( ~ aSubsetOf0(X1,xS)
              & ( ( aElementOf0(sK36(X1),X1)
                  & ~ aElementOf0(sK36(X1),xS) )
                | ~ aSet0(X1) ) )
            | sP9(X1,X0) )
        | ~ aElementOf0(X0,xT) )
    & ! [X3] :
        ( ( ( sbrdtbr0(X3) != xK
            | ( ( ~ aSet0(X3)
                | ( aElementOf0(sK37(X3),X3)
                  & ~ aElementOf0(sK37(X3),xO) ) )
              & ~ aSubsetOf0(X3,xO) ) )
          & ~ aElementOf0(X3,slbdtsldtrb0(xO,xK)) )
        | sP8(X3) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK36,sK37])],[f347,f349,f348]) ).

fof(f348,plain,
    ! [X1] :
      ( ? [X2] :
          ( aElementOf0(X2,X1)
          & ~ aElementOf0(X2,xS) )
     => ( aElementOf0(sK36(X1),X1)
        & ~ aElementOf0(sK36(X1),xS) ) ),
    introduced(choice_axiom,[]) ).

fof(f349,plain,
    ! [X3] :
      ( ? [X4] :
          ( aElementOf0(X4,X3)
          & ~ aElementOf0(X4,xO) )
     => ( aElementOf0(sK37(X3),X3)
        & ~ aElementOf0(sK37(X3),xO) ) ),
    introduced(choice_axiom,[]) ).

fof(f347,plain,
    ( ! [X0] :
        ( ! [X1] :
            ( ~ isCountable0(X1)
            | ( ~ aSubsetOf0(X1,xS)
              & ( ? [X2] :
                    ( aElementOf0(X2,X1)
                    & ~ aElementOf0(X2,xS) )
                | ~ aSet0(X1) ) )
            | sP9(X1,X0) )
        | ~ aElementOf0(X0,xT) )
    & ! [X3] :
        ( ( ( sbrdtbr0(X3) != xK
            | ( ( ~ aSet0(X3)
                | ? [X4] :
                    ( aElementOf0(X4,X3)
                    & ~ aElementOf0(X4,xO) ) )
              & ~ aSubsetOf0(X3,xO) ) )
          & ~ aElementOf0(X3,slbdtsldtrb0(xO,xK)) )
        | sP8(X3) ) ),
    inference(rectify,[],[f275]) ).

fof(f275,plain,
    ( ! [X6] :
        ( ! [X7] :
            ( ~ isCountable0(X7)
            | ( ~ aSubsetOf0(X7,xS)
              & ( ? [X10] :
                    ( aElementOf0(X10,X7)
                    & ~ aElementOf0(X10,xS) )
                | ~ aSet0(X7) ) )
            | sP9(X7,X6) )
        | ~ aElementOf0(X6,xT) )
    & ! [X0] :
        ( ( ( sbrdtbr0(X0) != xK
            | ( ( ~ aSet0(X0)
                | ? [X1] :
                    ( aElementOf0(X1,X0)
                    & ~ aElementOf0(X1,xO) ) )
              & ~ aSubsetOf0(X0,xO) ) )
          & ~ aElementOf0(X0,slbdtsldtrb0(xO,xK)) )
        | sP8(X0) ) ),
    inference(definition_folding,[],[f222,f274,f273]) ).

fof(f273,plain,
    ! [X0] :
      ( ( ! [X4] :
            ( ~ aElementOf0(X4,X0)
            | aElementOf0(X4,xS) )
        & ? [X3] : aElementOf0(X3,X0)
        & aElementOf0(X0,szDzozmdt0(xc))
        & aSubsetOf0(X0,szNzAzT0)
        & aSubsetOf0(X0,xS)
        & ! [X2] :
            ( aElementOf0(X2,szNzAzT0)
            | ~ aElementOf0(X2,X0) )
        & slcrc0 != X0
        & aSubsetOf0(X0,xS)
        & ! [X5] :
            ( ~ aElementOf0(X5,X0)
            | aElementOf0(X5,xS) )
        & szDzizrdt0(xd) = sdtlpdtrp0(xc,X0) )
      | ~ sP8(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).

fof(f274,plain,
    ! [X7,X6] :
      ( ? [X8] :
          ( xK = sbrdtbr0(X8)
          & aSubsetOf0(X8,X7)
          & sdtlpdtrp0(xc,X8) != X6
          & aSet0(X8)
          & ! [X9] :
              ( aElementOf0(X9,X7)
              | ~ aElementOf0(X9,X8) )
          & aElementOf0(X8,slbdtsldtrb0(X7,xK)) )
      | ~ sP9(X7,X6) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).

fof(f222,plain,
    ( ! [X6] :
        ( ! [X7] :
            ( ~ isCountable0(X7)
            | ( ~ aSubsetOf0(X7,xS)
              & ( ? [X10] :
                    ( aElementOf0(X10,X7)
                    & ~ aElementOf0(X10,xS) )
                | ~ aSet0(X7) ) )
            | ? [X8] :
                ( xK = sbrdtbr0(X8)
                & aSubsetOf0(X8,X7)
                & sdtlpdtrp0(xc,X8) != X6
                & aSet0(X8)
                & ! [X9] :
                    ( aElementOf0(X9,X7)
                    | ~ aElementOf0(X9,X8) )
                & aElementOf0(X8,slbdtsldtrb0(X7,xK)) ) )
        | ~ aElementOf0(X6,xT) )
    & ! [X0] :
        ( ( ( sbrdtbr0(X0) != xK
            | ( ( ~ aSet0(X0)
                | ? [X1] :
                    ( aElementOf0(X1,X0)
                    & ~ aElementOf0(X1,xO) ) )
              & ~ aSubsetOf0(X0,xO) ) )
          & ~ aElementOf0(X0,slbdtsldtrb0(xO,xK)) )
        | ( ! [X4] :
              ( ~ aElementOf0(X4,X0)
              | aElementOf0(X4,xS) )
          & ? [X3] : aElementOf0(X3,X0)
          & aElementOf0(X0,szDzozmdt0(xc))
          & aSubsetOf0(X0,szNzAzT0)
          & aSubsetOf0(X0,xS)
          & ! [X2] :
              ( aElementOf0(X2,szNzAzT0)
              | ~ aElementOf0(X2,X0) )
          & slcrc0 != X0
          & aSubsetOf0(X0,xS)
          & ! [X5] :
              ( ~ aElementOf0(X5,X0)
              | aElementOf0(X5,xS) )
          & szDzizrdt0(xd) = sdtlpdtrp0(xc,X0) ) ) ),
    inference(flattening,[],[f221]) ).

fof(f221,plain,
    ( ! [X6] :
        ( ! [X7] :
            ( ~ isCountable0(X7)
            | ? [X8] :
                ( sdtlpdtrp0(xc,X8) != X6
                & aSet0(X8)
                & ! [X9] :
                    ( aElementOf0(X9,X7)
                    | ~ aElementOf0(X9,X8) )
                & aElementOf0(X8,slbdtsldtrb0(X7,xK))
                & aSubsetOf0(X8,X7)
                & xK = sbrdtbr0(X8) )
            | ( ~ aSubsetOf0(X7,xS)
              & ( ? [X10] :
                    ( aElementOf0(X10,X7)
                    & ~ aElementOf0(X10,xS) )
                | ~ aSet0(X7) ) ) )
        | ~ aElementOf0(X6,xT) )
    & ! [X0] :
        ( ( ! [X4] :
              ( ~ aElementOf0(X4,X0)
              | aElementOf0(X4,xS) )
          & aSubsetOf0(X0,xS)
          & szDzizrdt0(xd) = sdtlpdtrp0(xc,X0)
          & slcrc0 != X0
          & ? [X3] : aElementOf0(X3,X0)
          & ! [X5] :
              ( ~ aElementOf0(X5,X0)
              | aElementOf0(X5,xS) )
          & aSubsetOf0(X0,szNzAzT0)
          & ! [X2] :
              ( aElementOf0(X2,szNzAzT0)
              | ~ aElementOf0(X2,X0) )
          & aSubsetOf0(X0,xS)
          & aElementOf0(X0,szDzozmdt0(xc)) )
        | ( ( sbrdtbr0(X0) != xK
            | ( ( ~ aSet0(X0)
                | ? [X1] :
                    ( aElementOf0(X1,X0)
                    & ~ aElementOf0(X1,xO) ) )
              & ~ aSubsetOf0(X0,xO) ) )
          & ~ aElementOf0(X0,slbdtsldtrb0(xO,xK)) ) ) ),
    inference(ennf_transformation,[],[f112]) ).

fof(f112,plain,
    ~ ( ! [X0] :
          ( ( ( sbrdtbr0(X0) = xK
              & ( aSubsetOf0(X0,xO)
                | ( ! [X1] :
                      ( aElementOf0(X1,X0)
                     => aElementOf0(X1,xO) )
                  & aSet0(X0) ) ) )
            | aElementOf0(X0,slbdtsldtrb0(xO,xK)) )
         => ( ! [X4] :
                ( aElementOf0(X4,X0)
               => aElementOf0(X4,xS) )
            & aSubsetOf0(X0,xS)
            & szDzizrdt0(xd) = sdtlpdtrp0(xc,X0)
            & ~ ( slcrc0 = X0
                | ~ ? [X3] : aElementOf0(X3,X0) )
            & ! [X5] :
                ( aElementOf0(X5,X0)
               => aElementOf0(X5,xS) )
            & aSubsetOf0(X0,szNzAzT0)
            & ! [X2] :
                ( aElementOf0(X2,X0)
               => aElementOf0(X2,szNzAzT0) )
            & aSubsetOf0(X0,xS)
            & aElementOf0(X0,szDzozmdt0(xc)) ) )
     => ? [X6] :
          ( ? [X7] :
              ( isCountable0(X7)
              & ! [X8] :
                  ( ( aSet0(X8)
                    & ! [X9] :
                        ( aElementOf0(X9,X8)
                       => aElementOf0(X9,X7) )
                    & aElementOf0(X8,slbdtsldtrb0(X7,xK))
                    & aSubsetOf0(X8,X7)
                    & xK = sbrdtbr0(X8) )
                 => sdtlpdtrp0(xc,X8) = X6 )
              & ( aSubsetOf0(X7,xS)
                | ( aSet0(X7)
                  & ! [X10] :
                      ( aElementOf0(X10,X7)
                     => aElementOf0(X10,xS) ) ) ) )
          & aElementOf0(X6,xT) ) ),
    inference(rectify,[],[f100]) ).

fof(f100,negated_conjecture,
    ~ ( ! [X0] :
          ( ( ( sbrdtbr0(X0) = xK
              & ( aSubsetOf0(X0,xO)
                | ( ! [X1] :
                      ( aElementOf0(X1,X0)
                     => aElementOf0(X1,xO) )
                  & aSet0(X0) ) ) )
            | aElementOf0(X0,slbdtsldtrb0(xO,xK)) )
         => ( szDzizrdt0(xd) = sdtlpdtrp0(xc,X0)
            & aSubsetOf0(X0,xS)
            & ! [X1] :
                ( aElementOf0(X1,X0)
               => aElementOf0(X1,szNzAzT0) )
            & aSubsetOf0(X0,szNzAzT0)
            & ~ ( ~ ? [X1] : aElementOf0(X1,X0)
                | slcrc0 = X0 )
            & ! [X1] :
                ( aElementOf0(X1,X0)
               => aElementOf0(X1,xS) )
            & aElementOf0(X0,szDzozmdt0(xc))
            & ! [X1] :
                ( aElementOf0(X1,X0)
               => aElementOf0(X1,xS) )
            & aSubsetOf0(X0,xS) ) )
     => ? [X0] :
          ( aElementOf0(X0,xT)
          & ? [X1] :
              ( isCountable0(X1)
              & ! [X2] :
                  ( ( aElementOf0(X2,slbdtsldtrb0(X1,xK))
                    & ! [X3] :
                        ( aElementOf0(X3,X2)
                       => aElementOf0(X3,X1) )
                    & sbrdtbr0(X2) = xK
                    & aSet0(X2)
                    & aSubsetOf0(X2,X1) )
                 => sdtlpdtrp0(xc,X2) = X0 )
              & ( aSubsetOf0(X1,xS)
                | ( ! [X2] :
                      ( aElementOf0(X2,X1)
                     => aElementOf0(X2,xS) )
                  & aSet0(X1) ) ) ) ) ),
    inference(negated_conjecture,[],[f99]) ).

fof(f99,conjecture,
    ( ! [X0] :
        ( ( ( sbrdtbr0(X0) = xK
            & ( aSubsetOf0(X0,xO)
              | ( ! [X1] :
                    ( aElementOf0(X1,X0)
                   => aElementOf0(X1,xO) )
                & aSet0(X0) ) ) )
          | aElementOf0(X0,slbdtsldtrb0(xO,xK)) )
       => ( szDzizrdt0(xd) = sdtlpdtrp0(xc,X0)
          & aSubsetOf0(X0,xS)
          & ! [X1] :
              ( aElementOf0(X1,X0)
             => aElementOf0(X1,szNzAzT0) )
          & aSubsetOf0(X0,szNzAzT0)
          & ~ ( ~ ? [X1] : aElementOf0(X1,X0)
              | slcrc0 = X0 )
          & ! [X1] :
              ( aElementOf0(X1,X0)
             => aElementOf0(X1,xS) )
          & aElementOf0(X0,szDzozmdt0(xc))
          & ! [X1] :
              ( aElementOf0(X1,X0)
             => aElementOf0(X1,xS) )
          & aSubsetOf0(X0,xS) ) )
   => ? [X0] :
        ( aElementOf0(X0,xT)
        & ? [X1] :
            ( isCountable0(X1)
            & ! [X2] :
                ( ( aElementOf0(X2,slbdtsldtrb0(X1,xK))
                  & ! [X3] :
                      ( aElementOf0(X3,X2)
                     => aElementOf0(X3,X1) )
                  & sbrdtbr0(X2) = xK
                  & aSet0(X2)
                  & aSubsetOf0(X2,X1) )
               => sdtlpdtrp0(xc,X2) = X0 )
            & ( aSubsetOf0(X1,xS)
              | ( ! [X2] :
                    ( aElementOf0(X2,X1)
                   => aElementOf0(X2,xS) )
                & aSet0(X1) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f2151,plain,
    ~ sP9(xO,szDzizrdt0(xd)),
    inference(trivial_inequality_removal,[],[f2150]) ).

fof(f2150,plain,
    ( ~ sP9(xO,szDzizrdt0(xd))
    | szDzizrdt0(xd) != szDzizrdt0(xd) ),
    inference(superposition,[],[f1060,f2061]) ).

fof(f2061,plain,
    szDzizrdt0(xd) = sdtlpdtrp0(xc,sK34(xO,szDzizrdt0(xd))),
    inference(resolution,[],[f2056,f1123]) ).

fof(f1123,plain,
    ! [X0] :
      ( ~ sP8(X0)
      | szDzizrdt0(xd) = sdtlpdtrp0(xc,X0) ),
    inference(literal_reordering,[],[f618]) ).

fof(f618,plain,
    ! [X0] :
      ( ~ sP8(X0)
      | szDzizrdt0(xd) = sdtlpdtrp0(xc,X0) ),
    inference(cnf_transformation,[],[f346]) ).

fof(f346,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( ~ aElementOf0(X1,X0)
            | aElementOf0(X1,xS) )
        & aElementOf0(sK35(X0),X0)
        & aElementOf0(X0,szDzozmdt0(xc))
        & aSubsetOf0(X0,szNzAzT0)
        & aSubsetOf0(X0,xS)
        & ! [X3] :
            ( aElementOf0(X3,szNzAzT0)
            | ~ aElementOf0(X3,X0) )
        & slcrc0 != X0
        & aSubsetOf0(X0,xS)
        & ! [X4] :
            ( ~ aElementOf0(X4,X0)
            | aElementOf0(X4,xS) )
        & szDzizrdt0(xd) = sdtlpdtrp0(xc,X0) )
      | ~ sP8(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK35])],[f344,f345]) ).

fof(f345,plain,
    ! [X0] :
      ( ? [X2] : aElementOf0(X2,X0)
     => aElementOf0(sK35(X0),X0) ),
    introduced(choice_axiom,[]) ).

fof(f344,plain,
    ! [X0] :
      ( ( ! [X1] :
            ( ~ aElementOf0(X1,X0)
            | aElementOf0(X1,xS) )
        & ? [X2] : aElementOf0(X2,X0)
        & aElementOf0(X0,szDzozmdt0(xc))
        & aSubsetOf0(X0,szNzAzT0)
        & aSubsetOf0(X0,xS)
        & ! [X3] :
            ( aElementOf0(X3,szNzAzT0)
            | ~ aElementOf0(X3,X0) )
        & slcrc0 != X0
        & aSubsetOf0(X0,xS)
        & ! [X4] :
            ( ~ aElementOf0(X4,X0)
            | aElementOf0(X4,xS) )
        & szDzizrdt0(xd) = sdtlpdtrp0(xc,X0) )
      | ~ sP8(X0) ),
    inference(rectify,[],[f343]) ).

fof(f343,plain,
    ! [X0] :
      ( ( ! [X4] :
            ( ~ aElementOf0(X4,X0)
            | aElementOf0(X4,xS) )
        & ? [X3] : aElementOf0(X3,X0)
        & aElementOf0(X0,szDzozmdt0(xc))
        & aSubsetOf0(X0,szNzAzT0)
        & aSubsetOf0(X0,xS)
        & ! [X2] :
            ( aElementOf0(X2,szNzAzT0)
            | ~ aElementOf0(X2,X0) )
        & slcrc0 != X0
        & aSubsetOf0(X0,xS)
        & ! [X5] :
            ( ~ aElementOf0(X5,X0)
            | aElementOf0(X5,xS) )
        & szDzizrdt0(xd) = sdtlpdtrp0(xc,X0) )
      | ~ sP8(X0) ),
    inference(nnf_transformation,[],[f273]) ).

fof(f2056,plain,
    sP8(sK34(xO,szDzizrdt0(xd))),
    inference(resolution,[],[f2054,f1378]) ).

fof(f2054,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,xT)
      | sP8(sK34(xO,X0)) ),
    inference(resolution,[],[f2000,f1679]) ).

fof(f1679,plain,
    ! [X3] :
      ( ~ aElementOf0(X3,slbdtsldtrb0(xO,szszuzczcdt0(xk)))
      | sP8(X3) ),
    inference(forward_demodulation,[],[f1271,f1053]) ).

fof(f1053,plain,
    xK = szszuzczcdt0(xk),
    inference(literal_reordering,[],[f787]) ).

fof(f787,plain,
    xK = szszuzczcdt0(xk),
    inference(cnf_transformation,[],[f80]) ).

fof(f80,axiom,
    ( aElementOf0(xk,szNzAzT0)
    & xK = szszuzczcdt0(xk) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3533) ).

fof(f1271,plain,
    ! [X3] :
      ( ~ aElementOf0(X3,slbdtsldtrb0(xO,xK))
      | sP8(X3) ),
    inference(literal_reordering,[],[f628]) ).

fof(f628,plain,
    ! [X3] :
      ( ~ aElementOf0(X3,slbdtsldtrb0(xO,xK))
      | sP8(X3) ),
    inference(cnf_transformation,[],[f350]) ).

fof(f2000,plain,
    ! [X2] :
      ( aElementOf0(sK34(xO,X2),slbdtsldtrb0(xO,szszuzczcdt0(xk)))
      | ~ aElementOf0(X2,xT) ),
    inference(resolution,[],[f1940,f1856]) ).

fof(f1940,plain,
    ! [X0,X1] :
      ( ~ sP9(X0,X1)
      | aElementOf0(sK34(X0,X1),slbdtsldtrb0(X0,szszuzczcdt0(xk))) ),
    inference(forward_demodulation,[],[f1264,f1053]) ).

fof(f1264,plain,
    ! [X0,X1] :
      ( aElementOf0(sK34(X0,X1),slbdtsldtrb0(X0,xK))
      | ~ sP9(X0,X1) ),
    inference(literal_reordering,[],[f612]) ).

fof(f612,plain,
    ! [X0,X1] :
      ( aElementOf0(sK34(X0,X1),slbdtsldtrb0(X0,xK))
      | ~ sP9(X0,X1) ),
    inference(cnf_transformation,[],[f342]) ).

fof(f342,plain,
    ! [X0,X1] :
      ( ( xK = sbrdtbr0(sK34(X0,X1))
        & aSubsetOf0(sK34(X0,X1),X0)
        & sdtlpdtrp0(xc,sK34(X0,X1)) != X1
        & aSet0(sK34(X0,X1))
        & ! [X3] :
            ( aElementOf0(X3,X0)
            | ~ aElementOf0(X3,sK34(X0,X1)) )
        & aElementOf0(sK34(X0,X1),slbdtsldtrb0(X0,xK)) )
      | ~ sP9(X0,X1) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK34])],[f340,f341]) ).

fof(f341,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( sbrdtbr0(X2) = xK
          & aSubsetOf0(X2,X0)
          & sdtlpdtrp0(xc,X2) != X1
          & aSet0(X2)
          & ! [X3] :
              ( aElementOf0(X3,X0)
              | ~ aElementOf0(X3,X2) )
          & aElementOf0(X2,slbdtsldtrb0(X0,xK)) )
     => ( xK = sbrdtbr0(sK34(X0,X1))
        & aSubsetOf0(sK34(X0,X1),X0)
        & sdtlpdtrp0(xc,sK34(X0,X1)) != X1
        & aSet0(sK34(X0,X1))
        & ! [X3] :
            ( aElementOf0(X3,X0)
            | ~ aElementOf0(X3,sK34(X0,X1)) )
        & aElementOf0(sK34(X0,X1),slbdtsldtrb0(X0,xK)) ) ),
    introduced(choice_axiom,[]) ).

fof(f340,plain,
    ! [X0,X1] :
      ( ? [X2] :
          ( sbrdtbr0(X2) = xK
          & aSubsetOf0(X2,X0)
          & sdtlpdtrp0(xc,X2) != X1
          & aSet0(X2)
          & ! [X3] :
              ( aElementOf0(X3,X0)
              | ~ aElementOf0(X3,X2) )
          & aElementOf0(X2,slbdtsldtrb0(X0,xK)) )
      | ~ sP9(X0,X1) ),
    inference(rectify,[],[f339]) ).

fof(f339,plain,
    ! [X7,X6] :
      ( ? [X8] :
          ( xK = sbrdtbr0(X8)
          & aSubsetOf0(X8,X7)
          & sdtlpdtrp0(xc,X8) != X6
          & aSet0(X8)
          & ! [X9] :
              ( aElementOf0(X9,X7)
              | ~ aElementOf0(X9,X8) )
          & aElementOf0(X8,slbdtsldtrb0(X7,xK)) )
      | ~ sP9(X7,X6) ),
    inference(nnf_transformation,[],[f274]) ).

fof(f1060,plain,
    ! [X0,X1] :
      ( sdtlpdtrp0(xc,sK34(X0,X1)) != X1
      | ~ sP9(X0,X1) ),
    inference(literal_reordering,[],[f615]) ).

fof(f615,plain,
    ! [X0,X1] :
      ( sdtlpdtrp0(xc,sK34(X0,X1)) != X1
      | ~ sP9(X0,X1) ),
    inference(cnf_transformation,[],[f342]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : NUM633+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.35  % Computer : n023.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 07:51:05 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  % (30159)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.49  % (30150)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.53  % (30142)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (30144)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.53  % (30164)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.54  % (30149)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  % (30139)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.54  % (30155)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.54  % (30150)Instruction limit reached!
% 0.20/0.54  % (30150)------------------------------
% 0.20/0.54  % (30150)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.54  % (30150)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.54  % (30150)Termination reason: Unknown
% 0.20/0.54  % (30150)Termination phase: Saturation
% 0.20/0.54  
% 0.20/0.54  % (30150)Memory used [KB]: 6780
% 0.20/0.54  % (30150)Time elapsed: 0.123 s
% 0.20/0.54  % (30150)Instructions burned: 50 (million)
% 0.20/0.54  % (30150)------------------------------
% 0.20/0.54  % (30150)------------------------------
% 0.20/0.54  % (30146)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  % (30170)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.54  % (30169)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.54  % (30171)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.54  % (30143)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  % (30141)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.54  % (30157)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55  % (30160)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.55  % (30162)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.55  % (30148)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.55  % (30147)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.55  % (30148)Instruction limit reached!
% 0.20/0.55  % (30148)------------------------------
% 0.20/0.55  % (30148)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (30148)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (30148)Termination reason: Unknown
% 0.20/0.55  % (30148)Termination phase: Preprocessing 2
% 0.20/0.55  
% 0.20/0.55  % (30148)Memory used [KB]: 1151
% 0.20/0.55  % (30148)Time elapsed: 0.004 s
% 0.20/0.55  % (30148)Instructions burned: 3 (million)
% 0.20/0.55  % (30148)------------------------------
% 0.20/0.55  % (30148)------------------------------
% 0.20/0.55  % (30154)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.55  % (30140)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55  % (30147)Instruction limit reached!
% 0.20/0.55  % (30147)------------------------------
% 0.20/0.55  % (30147)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (30147)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (30147)Termination reason: Unknown
% 0.20/0.55  % (30147)Termination phase: Preprocessing 3
% 0.20/0.55  
% 0.20/0.55  % (30147)Memory used [KB]: 1279
% 0.20/0.55  % (30147)Time elapsed: 0.004 s
% 0.20/0.55  % (30147)Instructions burned: 7 (million)
% 0.20/0.55  % (30147)------------------------------
% 0.20/0.55  % (30147)------------------------------
% 0.20/0.55  % (30161)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.55  % (30158)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.55  % (30163)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.55  % (30165)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.56  % (30166)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.56  % (30152)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.56  % (30151)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.56  % (30153)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.56  % (30167)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.74/0.60  % (30146)Instruction limit reached!
% 1.74/0.60  % (30146)------------------------------
% 1.74/0.60  % (30146)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.60  % (30141)Instruction limit reached!
% 1.74/0.60  % (30141)------------------------------
% 1.74/0.60  % (30141)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.60  % (30144)Instruction limit reached!
% 1.74/0.60  % (30144)------------------------------
% 1.74/0.60  % (30144)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.61  % (30141)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.61  % (30141)Termination reason: Unknown
% 1.74/0.61  % (30141)Termination phase: Saturation
% 1.74/0.61  
% 1.74/0.61  % (30141)Memory used [KB]: 1791
% 1.74/0.61  % (30141)Time elapsed: 0.191 s
% 1.74/0.61  % (30141)Instructions burned: 37 (million)
% 1.74/0.61  % (30141)------------------------------
% 1.74/0.61  % (30141)------------------------------
% 1.74/0.61  % (30144)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.61  % (30144)Termination reason: Unknown
% 1.74/0.61  % (30144)Termination phase: Saturation
% 1.74/0.61  
% 1.74/0.61  % (30144)Memory used [KB]: 6652
% 1.74/0.61  % (30144)Time elapsed: 0.181 s
% 1.74/0.61  % (30144)Instructions burned: 48 (million)
% 1.74/0.61  % (30144)------------------------------
% 1.74/0.61  % (30144)------------------------------
% 1.74/0.61  % (30142)Instruction limit reached!
% 1.74/0.61  % (30142)------------------------------
% 1.74/0.61  % (30142)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.61  % (30142)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.61  % (30142)Termination reason: Unknown
% 1.74/0.61  % (30142)Termination phase: Saturation
% 1.74/0.61  
% 1.74/0.61  % (30142)Memory used [KB]: 6396
% 1.74/0.61  % (30142)Time elapsed: 0.202 s
% 1.74/0.61  % (30142)Instructions burned: 51 (million)
% 1.74/0.61  % (30142)------------------------------
% 1.74/0.61  % (30142)------------------------------
% 1.74/0.62  % (30146)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.62  % (30146)Termination reason: Unknown
% 1.74/0.62  % (30146)Termination phase: Finite model building preprocessing
% 1.74/0.62  
% 1.74/0.62  % (30146)Memory used [KB]: 2686
% 1.74/0.62  % (30146)Time elapsed: 0.023 s
% 1.74/0.62  % (30146)Instructions burned: 51 (million)
% 1.74/0.62  % (30146)------------------------------
% 1.74/0.62  % (30146)------------------------------
% 1.74/0.62  % (30159)Instruction limit reached!
% 1.74/0.62  % (30159)------------------------------
% 1.74/0.62  % (30159)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.62  % (30159)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.62  % (30159)Termination reason: Unknown
% 1.74/0.62  % (30159)Termination phase: Saturation
% 1.74/0.62  
% 1.74/0.62  % (30159)Memory used [KB]: 7291
% 1.74/0.62  % (30159)Time elapsed: 0.184 s
% 1.74/0.62  % (30159)Instructions burned: 100 (million)
% 1.74/0.62  % (30159)------------------------------
% 1.74/0.62  % (30159)------------------------------
% 1.74/0.62  % (30149)Instruction limit reached!
% 1.74/0.62  % (30149)------------------------------
% 1.74/0.62  % (30149)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.62  % (30149)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.62  % (30149)Termination reason: Unknown
% 1.74/0.62  % (30149)Termination phase: Saturation
% 1.74/0.62  
% 1.74/0.62  % (30149)Memory used [KB]: 2046
% 1.74/0.62  % (30149)Time elapsed: 0.209 s
% 1.74/0.62  % (30149)Instructions burned: 51 (million)
% 1.74/0.62  % (30149)------------------------------
% 1.74/0.62  % (30149)------------------------------
% 1.74/0.62  % (30140)Instruction limit reached!
% 1.74/0.62  % (30140)------------------------------
% 1.74/0.62  % (30140)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.62  % (30140)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.62  % (30140)Termination reason: Unknown
% 1.74/0.62  % (30140)Termination phase: Saturation
% 1.74/0.62  
% 1.74/0.62  % (30140)Memory used [KB]: 6652
% 1.74/0.62  % (30140)Time elapsed: 0.199 s
% 1.74/0.62  % (30140)Instructions burned: 51 (million)
% 1.74/0.62  % (30140)------------------------------
% 1.74/0.62  % (30140)------------------------------
% 1.74/0.63  % (30143)Instruction limit reached!
% 1.74/0.63  % (30143)------------------------------
% 1.74/0.63  % (30143)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.74/0.63  % (30143)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.74/0.63  % (30143)Termination reason: Unknown
% 1.74/0.63  % (30143)Termination phase: Saturation
% 1.74/0.63  
% 1.74/0.63  % (30143)Memory used [KB]: 6652
% 1.74/0.63  % (30143)Time elapsed: 0.220 s
% 1.74/0.63  % (30143)Instructions burned: 52 (million)
% 1.74/0.63  % (30143)------------------------------
% 1.74/0.63  % (30143)------------------------------
% 2.19/0.64  % (30158)Instruction limit reached!
% 2.19/0.64  % (30158)------------------------------
% 2.19/0.64  % (30158)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.64  % (30158)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.64  % (30158)Termination reason: Unknown
% 2.19/0.64  % (30158)Termination phase: Finite model building preprocessing
% 2.19/0.64  
% 2.19/0.64  % (30158)Memory used [KB]: 2558
% 2.19/0.64  % (30158)Time elapsed: 0.028 s
% 2.19/0.64  % (30158)Instructions burned: 59 (million)
% 2.19/0.64  % (30158)------------------------------
% 2.19/0.64  % (30158)------------------------------
% 2.19/0.66  % (30167)First to succeed.
% 2.19/0.66  % (30167)Refutation found. Thanks to Tanya!
% 2.19/0.66  % SZS status Theorem for theBenchmark
% 2.19/0.66  % SZS output start Proof for theBenchmark
% See solution above
% 2.19/0.66  % (30167)------------------------------
% 2.19/0.66  % (30167)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.66  % (30167)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.66  % (30167)Termination reason: Refutation
% 2.19/0.66  
% 2.19/0.66  % (30167)Memory used [KB]: 7419
% 2.19/0.66  % (30167)Time elapsed: 0.037 s
% 2.19/0.66  % (30167)Instructions burned: 61 (million)
% 2.19/0.66  % (30167)------------------------------
% 2.19/0.66  % (30167)------------------------------
% 2.19/0.66  % (30132)Success in time 0.295 s
%------------------------------------------------------------------------------