TSTP Solution File: NUM580+3 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : NUM580+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 : n019.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 18:00:50 EDT 2022

% Result   : Theorem 2.59s 0.73s
% Output   : Refutation 2.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   19
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   83 (  16 unt;   0 def)
%            Number of atoms       :  480 (  68 equ)
%            Maximal formula atoms :   22 (   5 avg)
%            Number of connectives :  562 ( 165   ~; 144   |; 205   &)
%                                         (  16 <=>;  32  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   6 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :   13 (  11 usr;   2 prp; 0-2 aty)
%            Number of functors    :   17 (  17 usr;   8 con; 0-2 aty)
%            Number of variables   :  107 ( 103   !;   4   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1701,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1689,f1700]) ).

fof(f1700,plain,
    ~ spl36_2,
    inference(avatar_contradiction_clause,[],[f1699]) ).

fof(f1699,plain,
    ( $false
    | ~ spl36_2 ),
    inference(subsumption_resolution,[],[f570,f1694]) ).

fof(f1694,plain,
    ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi))),
    inference(subsumption_resolution,[],[f1693,f337]) ).

fof(f337,plain,
    xK = szszuzczcdt0(xk),
    inference(cnf_transformation,[],[f80]) ).

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

fof(f1693,plain,
    ( xK != szszuzczcdt0(xk)
    | ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi))) ),
    inference(forward_demodulation,[],[f1692,f460]) ).

fof(f460,plain,
    xk = sbrdtbr0(xQ),
    inference(cnf_transformation,[],[f288]) ).

fof(f288,plain,
    ( ! [X0] :
        ( ( aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
          | ~ aElementOf0(X0,sdtlpdtrp0(xN,xi))
          | szmzizndt0(sdtlpdtrp0(xN,xi)) = X0
          | ~ aElement0(X0) )
        & ( ( aElementOf0(X0,sdtlpdtrp0(xN,xi))
            & szmzizndt0(sdtlpdtrp0(xN,xi)) != X0
            & aElement0(X0) )
          | ~ aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
    & ! [X1] :
        ( ~ aElementOf0(X1,sdtlpdtrp0(xN,xi))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X1) )
    & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
    & aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
    & aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
    & aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
    & xk = sbrdtbr0(xQ)
    & ! [X2] :
        ( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
        | ~ aElementOf0(X2,xQ) )
    & aSet0(xQ) ),
    inference(rectify,[],[f287]) ).

fof(f287,plain,
    ( ! [X1] :
        ( ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
          | ~ aElementOf0(X1,sdtlpdtrp0(xN,xi))
          | szmzizndt0(sdtlpdtrp0(xN,xi)) = X1
          | ~ aElement0(X1) )
        & ( ( aElementOf0(X1,sdtlpdtrp0(xN,xi))
            & szmzizndt0(sdtlpdtrp0(xN,xi)) != X1
            & aElement0(X1) )
          | ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
    & ! [X2] :
        ( ~ aElementOf0(X2,sdtlpdtrp0(xN,xi))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) )
    & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
    & aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
    & aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
    & aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
    & xk = sbrdtbr0(xQ)
    & ! [X0] :
        ( aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
        | ~ aElementOf0(X0,xQ) )
    & aSet0(xQ) ),
    inference(flattening,[],[f286]) ).

fof(f286,plain,
    ( ! [X1] :
        ( ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
          | ~ aElementOf0(X1,sdtlpdtrp0(xN,xi))
          | szmzizndt0(sdtlpdtrp0(xN,xi)) = X1
          | ~ aElement0(X1) )
        & ( ( aElementOf0(X1,sdtlpdtrp0(xN,xi))
            & szmzizndt0(sdtlpdtrp0(xN,xi)) != X1
            & aElement0(X1) )
          | ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ) )
    & ! [X2] :
        ( ~ aElementOf0(X2,sdtlpdtrp0(xN,xi))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) )
    & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
    & aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
    & aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
    & aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
    & xk = sbrdtbr0(xQ)
    & ! [X0] :
        ( aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
        | ~ aElementOf0(X0,xQ) )
    & aSet0(xQ) ),
    inference(nnf_transformation,[],[f130]) ).

fof(f130,plain,
    ( ! [X1] :
        ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
      <=> ( aElementOf0(X1,sdtlpdtrp0(xN,xi))
          & szmzizndt0(sdtlpdtrp0(xN,xi)) != X1
          & aElement0(X1) ) )
    & ! [X2] :
        ( ~ aElementOf0(X2,sdtlpdtrp0(xN,xi))
        | sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) )
    & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
    & aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
    & aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
    & aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
    & xk = sbrdtbr0(xQ)
    & ! [X0] :
        ( aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
        | ~ aElementOf0(X0,xQ) )
    & aSet0(xQ) ),
    inference(ennf_transformation,[],[f91]) ).

fof(f91,plain,
    ( ! [X2] :
        ( aElementOf0(X2,sdtlpdtrp0(xN,xi))
       => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X2) )
    & ! [X0] :
        ( aElementOf0(X0,xQ)
       => aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
    & aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
    & aSet0(xQ)
    & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
    & aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
    & ! [X1] :
        ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
      <=> ( aElementOf0(X1,sdtlpdtrp0(xN,xi))
          & szmzizndt0(sdtlpdtrp0(xN,xi)) != X1
          & aElement0(X1) ) )
    & aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
    & xk = sbrdtbr0(xQ) ),
    inference(rectify,[],[f86]) ).

fof(f86,axiom,
    ( aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
    & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
    & ! [X0] :
        ( aElementOf0(X0,xQ)
       => aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) )
    & ! [X0] :
        ( aElementOf0(X0,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
      <=> ( aElementOf0(X0,sdtlpdtrp0(xN,xi))
          & szmzizndt0(sdtlpdtrp0(xN,xi)) != X0
          & aElement0(X0) ) )
    & aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk))
    & aSet0(xQ)
    & xk = sbrdtbr0(xQ)
    & aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
    & ! [X0] :
        ( aElementOf0(X0,sdtlpdtrp0(xN,xi))
       => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3989_02) ).

fof(f1692,plain,
    ( xK != szszuzczcdt0(sbrdtbr0(xQ))
    | ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi))) ),
    inference(subsumption_resolution,[],[f1691,f742]) ).

fof(f742,plain,
    isFinite0(xQ),
    inference(subsumption_resolution,[],[f741,f336]) ).

fof(f336,plain,
    aElementOf0(xk,szNzAzT0),
    inference(cnf_transformation,[],[f80]) ).

fof(f741,plain,
    ( isFinite0(xQ)
    | ~ aElementOf0(xk,szNzAzT0) ),
    inference(subsumption_resolution,[],[f711,f458]) ).

fof(f458,plain,
    aSet0(xQ),
    inference(cnf_transformation,[],[f288]) ).

fof(f711,plain,
    ( ~ aSet0(xQ)
    | isFinite0(xQ)
    | ~ aElementOf0(xk,szNzAzT0) ),
    inference(superposition,[],[f322,f460]) ).

fof(f322,plain,
    ! [X0] :
      ( ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
      | ~ aSet0(X0)
      | isFinite0(X0) ),
    inference(cnf_transformation,[],[f225]) ).

fof(f225,plain,
    ! [X0] :
      ( ( ( isFinite0(X0)
          | ~ aElementOf0(sbrdtbr0(X0),szNzAzT0) )
        & ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
          | ~ isFinite0(X0) ) )
      | ~ aSet0(X0) ),
    inference(nnf_transformation,[],[f121]) ).

fof(f121,plain,
    ! [X0] :
      ( ( isFinite0(X0)
      <=> aElementOf0(sbrdtbr0(X0),szNzAzT0) )
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f41,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ( isFinite0(X0)
      <=> aElementOf0(sbrdtbr0(X0),szNzAzT0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardNum) ).

fof(f1691,plain,
    ( ~ isFinite0(xQ)
    | xK != szszuzczcdt0(sbrdtbr0(xQ))
    | ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi))) ),
    inference(subsumption_resolution,[],[f1690,f458]) ).

fof(f1690,plain,
    ( ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
    | ~ aSet0(xQ)
    | ~ isFinite0(xQ)
    | xK != szszuzczcdt0(sbrdtbr0(xQ)) ),
    inference(subsumption_resolution,[],[f1190,f1674]) ).

fof(f1674,plain,
    ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),xQ),
    inference(subsumption_resolution,[],[f1654,f1119]) ).

fof(f1119,plain,
    sP4(xi),
    inference(resolution,[],[f833,f398]) ).

fof(f398,plain,
    ! [X0] :
      ( ~ sP5(X0)
      | sP4(X0) ),
    inference(cnf_transformation,[],[f259]) ).

fof(f259,plain,
    ! [X0] :
      ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
        & sP4(X0)
        & aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
        & ! [X1] :
            ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X1)
            | ~ aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
        & aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
        & aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
        & isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
        & ! [X2] :
            ( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
            | ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) )
      | ~ sP5(X0) ),
    inference(rectify,[],[f258]) ).

fof(f258,plain,
    ! [X0] :
      ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
        & sP4(X0)
        & aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
        & ! [X4] :
            ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
            | ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
        & aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
        & aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
        & isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
        & ! [X2] :
            ( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
            | ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) )
      | ~ sP5(X0) ),
    inference(nnf_transformation,[],[f218]) ).

fof(f218,plain,
    ! [X0] :
      ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
        & sP4(X0)
        & aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
        & ! [X4] :
            ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
            | ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
        & aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
        & aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
        & isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
        & ! [X2] :
            ( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
            | ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) )
      | ~ sP5(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).

fof(f833,plain,
    sP5(xi),
    inference(resolution,[],[f574,f446]) ).

fof(f446,plain,
    aElementOf0(xi,szNzAzT0),
    inference(cnf_transformation,[],[f85]) ).

fof(f85,axiom,
    aElementOf0(xi,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3989) ).

fof(f574,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | sP5(X0) ),
    inference(subsumption_resolution,[],[f573,f531]) ).

fof(f531,plain,
    ! [X0] :
      ( isCountable0(sdtlpdtrp0(xN,X0))
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f149]) ).

fof(f149,plain,
    ! [X0] :
      ( ~ aElementOf0(X0,szNzAzT0)
      | ( aSet0(sdtlpdtrp0(xN,X0))
        & ! [X1] :
            ( ~ aElementOf0(X1,sdtlpdtrp0(xN,X0))
            | aElementOf0(X1,szNzAzT0) )
        & isCountable0(sdtlpdtrp0(xN,X0))
        & aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) ) ),
    inference(ennf_transformation,[],[f82]) ).

fof(f82,axiom,
    ! [X0] :
      ( aElementOf0(X0,szNzAzT0)
     => ( aSet0(sdtlpdtrp0(xN,X0))
        & ! [X1] :
            ( aElementOf0(X1,sdtlpdtrp0(xN,X0))
           => aElementOf0(X1,szNzAzT0) )
        & aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
        & isCountable0(sdtlpdtrp0(xN,X0)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3671) ).

fof(f573,plain,
    ! [X0] :
      ( ~ isCountable0(sdtlpdtrp0(xN,X0))
      | sP5(X0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(subsumption_resolution,[],[f407,f530]) ).

fof(f530,plain,
    ! [X0] :
      ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f149]) ).

fof(f407,plain,
    ! [X0] :
      ( sP5(X0)
      | ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
      | ~ aElementOf0(X0,szNzAzT0)
      | ~ isCountable0(sdtlpdtrp0(xN,X0)) ),
    inference(cnf_transformation,[],[f264]) ).

fof(f264,plain,
    ( ! [X0] :
        ( ~ isCountable0(sdtlpdtrp0(xN,X0))
        | ( ( ~ aSet0(sdtlpdtrp0(xN,X0))
            | ( aElementOf0(sK16(X0),sdtlpdtrp0(xN,X0))
              & ~ aElementOf0(sK16(X0),szNzAzT0) ) )
          & ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
        | sP5(X0)
        | ~ aElementOf0(X0,szNzAzT0) )
    & xS = sdtlpdtrp0(xN,sz00)
    & szNzAzT0 = szDzozmdt0(xN)
    & aFunction0(xN) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK16])],[f219,f263]) ).

fof(f263,plain,
    ! [X0] :
      ( ? [X1] :
          ( aElementOf0(X1,sdtlpdtrp0(xN,X0))
          & ~ aElementOf0(X1,szNzAzT0) )
     => ( aElementOf0(sK16(X0),sdtlpdtrp0(xN,X0))
        & ~ aElementOf0(sK16(X0),szNzAzT0) ) ),
    introduced(choice_axiom,[]) ).

fof(f219,plain,
    ( ! [X0] :
        ( ~ isCountable0(sdtlpdtrp0(xN,X0))
        | ( ( ~ aSet0(sdtlpdtrp0(xN,X0))
            | ? [X1] :
                ( aElementOf0(X1,sdtlpdtrp0(xN,X0))
                & ~ aElementOf0(X1,szNzAzT0) ) )
          & ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
        | sP5(X0)
        | ~ aElementOf0(X0,szNzAzT0) )
    & xS = sdtlpdtrp0(xN,sz00)
    & szNzAzT0 = szDzozmdt0(xN)
    & aFunction0(xN) ),
    inference(definition_folding,[],[f165,f218,f217]) ).

fof(f217,plain,
    ! [X0] :
      ( ! [X3] :
          ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
            & aElement0(X3)
            & aElementOf0(X3,sdtlpdtrp0(xN,X0)) )
        <=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
      | ~ sP4(X0) ),
    introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).

fof(f165,plain,
    ( ! [X0] :
        ( ~ isCountable0(sdtlpdtrp0(xN,X0))
        | ( ( ~ aSet0(sdtlpdtrp0(xN,X0))
            | ? [X1] :
                ( aElementOf0(X1,sdtlpdtrp0(xN,X0))
                & ~ aElementOf0(X1,szNzAzT0) ) )
          & ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
        | ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
          & ! [X3] :
              ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
                & aElement0(X3)
                & aElementOf0(X3,sdtlpdtrp0(xN,X0)) )
            <=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
          & aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
          & ! [X4] :
              ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
              | ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
          & aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
          & aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
          & isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
          & ! [X2] :
              ( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
              | ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) )
        | ~ aElementOf0(X0,szNzAzT0) )
    & xS = sdtlpdtrp0(xN,sz00)
    & szNzAzT0 = szDzozmdt0(xN)
    & aFunction0(xN) ),
    inference(flattening,[],[f164]) ).

fof(f164,plain,
    ( szNzAzT0 = szDzozmdt0(xN)
    & xS = sdtlpdtrp0(xN,sz00)
    & aFunction0(xN)
    & ! [X0] :
        ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
          & ! [X3] :
              ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
                & aElement0(X3)
                & aElementOf0(X3,sdtlpdtrp0(xN,X0)) )
            <=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
          & aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
          & ! [X4] :
              ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4)
              | ~ aElementOf0(X4,sdtlpdtrp0(xN,X0)) )
          & aSet0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
          & aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
          & isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
          & ! [X2] :
              ( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
              | ~ aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0))) ) )
        | ( ( ~ aSet0(sdtlpdtrp0(xN,X0))
            | ? [X1] :
                ( aElementOf0(X1,sdtlpdtrp0(xN,X0))
                & ~ aElementOf0(X1,szNzAzT0) ) )
          & ~ aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0) )
        | ~ isCountable0(sdtlpdtrp0(xN,X0))
        | ~ aElementOf0(X0,szNzAzT0) ) ),
    inference(ennf_transformation,[],[f95]) ).

fof(f95,plain,
    ( szNzAzT0 = szDzozmdt0(xN)
    & xS = sdtlpdtrp0(xN,sz00)
    & aFunction0(xN)
    & ! [X0] :
        ( aElementOf0(X0,szNzAzT0)
       => ( ( ( aSubsetOf0(sdtlpdtrp0(xN,X0),szNzAzT0)
              | ( aSet0(sdtlpdtrp0(xN,X0))
                & ! [X1] :
                    ( aElementOf0(X1,sdtlpdtrp0(xN,X0))
                   => aElementOf0(X1,szNzAzT0) ) ) )
            & isCountable0(sdtlpdtrp0(xN,X0)) )
         => ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtlpdtrp0(xN,X0))
            & ! [X3] :
                ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
                  & aElement0(X3)
                  & aElementOf0(X3,sdtlpdtrp0(xN,X0)) )
              <=> aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
            & isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
            & aSet0(sdtlpdtrp0(xN,szszuzczcdt0(X0)))
            & ! [X4] :
                ( aElementOf0(X4,sdtlpdtrp0(xN,X0))
               => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,X0)),X4) )
            & ! [X2] :
                ( aElementOf0(X2,sdtlpdtrp0(xN,szszuzczcdt0(X0)))
               => aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(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)))) ) ) ) ),
    inference(rectify,[],[f81]) ).

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

fof(f1654,plain,
    ( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),xQ)
    | ~ sP4(xi) ),
    inference(resolution,[],[f459,f543]) ).

fof(f543,plain,
    ! [X0] :
      ( ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,X0)),sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
      | ~ sP4(X0) ),
    inference(equality_resolution,[],[f403]) ).

fof(f403,plain,
    ! [X0,X1] :
      ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
      | ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
      | ~ sP4(X0) ),
    inference(cnf_transformation,[],[f262]) ).

fof(f262,plain,
    ! [X0] :
      ( ! [X1] :
          ( ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X1
              & aElement0(X1)
              & aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
            | ~ aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
          & ( aElementOf0(X1,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
            | szmzizndt0(sdtlpdtrp0(xN,X0)) = X1
            | ~ aElement0(X1)
            | ~ aElementOf0(X1,sdtlpdtrp0(xN,X0)) ) )
      | ~ sP4(X0) ),
    inference(rectify,[],[f261]) ).

fof(f261,plain,
    ! [X0] :
      ( ! [X3] :
          ( ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
              & aElement0(X3)
              & aElementOf0(X3,sdtlpdtrp0(xN,X0)) )
            | ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
          & ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
            | szmzizndt0(sdtlpdtrp0(xN,X0)) = X3
            | ~ aElement0(X3)
            | ~ aElementOf0(X3,sdtlpdtrp0(xN,X0)) ) )
      | ~ sP4(X0) ),
    inference(flattening,[],[f260]) ).

fof(f260,plain,
    ! [X0] :
      ( ! [X3] :
          ( ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) != X3
              & aElement0(X3)
              & aElementOf0(X3,sdtlpdtrp0(xN,X0)) )
            | ~ aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0)))) )
          & ( aElementOf0(X3,sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))))
            | szmzizndt0(sdtlpdtrp0(xN,X0)) = X3
            | ~ aElement0(X3)
            | ~ aElementOf0(X3,sdtlpdtrp0(xN,X0)) ) )
      | ~ sP4(X0) ),
    inference(nnf_transformation,[],[f217]) ).

fof(f459,plain,
    ! [X2] :
      ( aElementOf0(X2,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
      | ~ aElementOf0(X2,xQ) ),
    inference(cnf_transformation,[],[f288]) ).

fof(f1190,plain,
    ( xK != szszuzczcdt0(sbrdtbr0(xQ))
    | aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),xQ)
    | ~ isFinite0(xQ)
    | ~ aSet0(xQ)
    | ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi))) ),
    inference(superposition,[],[f369,f362]) ).

fof(f362,plain,
    ! [X0,X1] :
      ( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
      | aElementOf0(X1,X0)
      | ~ aSet0(X0)
      | ~ isFinite0(X0)
      | ~ aElement0(X1) ),
    inference(cnf_transformation,[],[f210]) ).

fof(f210,plain,
    ! [X0] :
      ( ~ isFinite0(X0)
      | ~ aSet0(X0)
      | ! [X1] :
          ( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
          | ~ aElement0(X1)
          | aElementOf0(X1,X0) ) ),
    inference(flattening,[],[f209]) ).

fof(f209,plain,
    ! [X0] :
      ( ! [X1] :
          ( sbrdtbr0(sdtpldt0(X0,X1)) = szszuzczcdt0(sbrdtbr0(X0))
          | aElementOf0(X1,X0)
          | ~ aElement0(X1) )
      | ~ aSet0(X0)
      | ~ isFinite0(X0) ),
    inference(ennf_transformation,[],[f43]) ).

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

fof(f369,plain,
    xK != sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))),
    inference(cnf_transformation,[],[f247]) ).

fof(f247,plain,
    ( aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
    & xK != sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
    & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
    & ! [X0] :
        ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X0)
        | ~ aElementOf0(X0,sdtlpdtrp0(xN,xi)) )
    & ! [X1] :
        ( ( aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
          | ~ aElement0(X1)
          | ( ~ aElementOf0(X1,xQ)
            & szmzizndt0(sdtlpdtrp0(xN,xi)) != X1 ) )
        & ( ( aElement0(X1)
            & ( aElementOf0(X1,xQ)
              | szmzizndt0(sdtlpdtrp0(xN,xi)) = X1 ) )
          | ~ aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ) ) ),
    inference(flattening,[],[f246]) ).

fof(f246,plain,
    ( aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
    & xK != sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
    & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
    & ! [X0] :
        ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X0)
        | ~ aElementOf0(X0,sdtlpdtrp0(xN,xi)) )
    & ! [X1] :
        ( ( aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
          | ~ aElement0(X1)
          | ( ~ aElementOf0(X1,xQ)
            & szmzizndt0(sdtlpdtrp0(xN,xi)) != X1 ) )
        & ( ( aElement0(X1)
            & ( aElementOf0(X1,xQ)
              | szmzizndt0(sdtlpdtrp0(xN,xi)) = X1 ) )
          | ~ aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ) ) ),
    inference(nnf_transformation,[],[f159]) ).

fof(f159,plain,
    ( aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
    & xK != sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
    & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
    & ! [X0] :
        ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X0)
        | ~ aElementOf0(X0,sdtlpdtrp0(xN,xi)) )
    & ! [X1] :
        ( aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
      <=> ( aElement0(X1)
          & ( aElementOf0(X1,xQ)
            | szmzizndt0(sdtlpdtrp0(xN,xi)) = X1 ) ) ) ),
    inference(flattening,[],[f158]) ).

fof(f158,plain,
    ( xK != sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
    & aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
    & ! [X1] :
        ( aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
      <=> ( aElement0(X1)
          & ( aElementOf0(X1,xQ)
            | szmzizndt0(sdtlpdtrp0(xN,xi)) = X1 ) ) )
    & aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
    & ! [X0] :
        ( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X0)
        | ~ aElementOf0(X0,sdtlpdtrp0(xN,xi)) ) ),
    inference(ennf_transformation,[],[f93]) ).

fof(f93,plain,
    ~ ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
        & ! [X0] :
            ( aElementOf0(X0,sdtlpdtrp0(xN,xi))
           => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X0) ) )
     => ( ( aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
          & ! [X1] :
              ( aElementOf0(X1,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
            <=> ( aElement0(X1)
                & ( aElementOf0(X1,xQ)
                  | szmzizndt0(sdtlpdtrp0(xN,xi)) = X1 ) ) ) )
       => xK = sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ) ),
    inference(rectify,[],[f88]) ).

fof(f88,negated_conjecture,
    ~ ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
        & ! [X0] :
            ( aElementOf0(X0,sdtlpdtrp0(xN,xi))
           => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X0) ) )
     => ( ( ! [X0] :
              ( aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
            <=> ( ( aElementOf0(X0,xQ)
                  | szmzizndt0(sdtlpdtrp0(xN,xi)) = X0 )
                & aElement0(X0) ) )
          & aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
       => xK = sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ) ),
    inference(negated_conjecture,[],[f87]) ).

fof(f87,conjecture,
    ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi))
      & ! [X0] :
          ( aElementOf0(X0,sdtlpdtrp0(xN,xi))
         => sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xi)),X0) ) )
   => ( ( ! [X0] :
            ( aElementOf0(X0,sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi))))
          <=> ( ( aElementOf0(X0,xQ)
                | szmzizndt0(sdtlpdtrp0(xN,xi)) = X0 )
              & aElement0(X0) ) )
        & aSet0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) )
     => xK = sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f570,plain,
    ( aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
    | ~ spl36_2 ),
    inference(avatar_component_clause,[],[f569]) ).

fof(f569,plain,
    ( spl36_2
  <=> aElement0(szmzizndt0(sdtlpdtrp0(xN,xi))) ),
    introduced(avatar_definition,[new_symbols(naming,[spl36_2])]) ).

fof(f1689,plain,
    spl36_2,
    inference(avatar_contradiction_clause,[],[f1688]) ).

fof(f1688,plain,
    ( $false
    | spl36_2 ),
    inference(subsumption_resolution,[],[f1687,f446]) ).

fof(f1687,plain,
    ( ~ aElementOf0(xi,szNzAzT0)
    | spl36_2 ),
    inference(resolution,[],[f1147,f533]) ).

fof(f533,plain,
    ! [X0] :
      ( aSet0(sdtlpdtrp0(xN,X0))
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f149]) ).

fof(f1147,plain,
    ( ~ aSet0(sdtlpdtrp0(xN,xi))
    | spl36_2 ),
    inference(subsumption_resolution,[],[f1144,f571]) ).

fof(f571,plain,
    ( ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
    | spl36_2 ),
    inference(avatar_component_clause,[],[f569]) ).

fof(f1144,plain,
    ( ~ aSet0(sdtlpdtrp0(xN,xi))
    | aElement0(szmzizndt0(sdtlpdtrp0(xN,xi))) ),
    inference(resolution,[],[f464,f534]) ).

fof(f534,plain,
    ! [X0,X1] :
      ( ~ aElementOf0(X1,X0)
      | ~ aSet0(X0)
      | aElement0(X1) ),
    inference(cnf_transformation,[],[f200]) ).

fof(f200,plain,
    ! [X0] :
      ( ! [X1] :
          ( aElement0(X1)
          | ~ aElementOf0(X1,X0) )
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f3]) ).

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

fof(f464,plain,
    aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),sdtlpdtrp0(xN,xi)),
    inference(cnf_transformation,[],[f288]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : NUM580+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35  % Computer : n019.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 07:13:20 EDT 2022
% 0.13/0.35  % CPUTime    : 
% 0.21/0.50  % (4229)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)
% 0.21/0.51  % (4221)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)
% 0.21/0.52  % (4205)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)
% 0.21/0.52  % (4229)Instruction limit reached!
% 0.21/0.52  % (4229)------------------------------
% 0.21/0.52  % (4229)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (4213)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)
% 0.21/0.53  % (4229)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (4229)Termination reason: Unknown
% 0.21/0.53  % (4229)Termination phase: Property scanning
% 0.21/0.53  
% 0.21/0.53  % (4229)Memory used [KB]: 1791
% 0.21/0.53  % (4229)Time elapsed: 0.009 s
% 0.21/0.53  % (4229)Instructions burned: 9 (million)
% 0.21/0.53  % (4229)------------------------------
% 0.21/0.53  % (4229)------------------------------
% 0.21/0.53  % (4214)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)
% 0.21/0.53  % (4221)Instruction limit reached!
% 0.21/0.53  % (4221)------------------------------
% 0.21/0.53  % (4221)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53  % (4221)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53  % (4221)Termination reason: Unknown
% 0.21/0.53  % (4221)Termination phase: Saturation
% 0.21/0.53  
% 0.21/0.53  % (4221)Memory used [KB]: 6524
% 0.21/0.53  % (4221)Time elapsed: 0.101 s
% 0.21/0.53  % (4221)Instructions burned: 31 (million)
% 0.21/0.53  % (4221)------------------------------
% 0.21/0.53  % (4221)------------------------------
% 0.21/0.54  % (4203)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)
% 0.21/0.54  % (4222)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)
% 0.21/0.54  % (4214)Instruction limit reached!
% 0.21/0.54  % (4214)------------------------------
% 0.21/0.54  % (4214)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (4214)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (4214)Termination reason: Unknown
% 0.21/0.54  % (4214)Termination phase: Preprocessing 3
% 0.21/0.54  
% 0.21/0.54  % (4214)Memory used [KB]: 1663
% 0.21/0.54  % (4214)Time elapsed: 0.003 s
% 0.21/0.54  % (4214)Instructions burned: 4 (million)
% 0.21/0.54  % (4214)------------------------------
% 0.21/0.54  % (4214)------------------------------
% 0.21/0.54  % (4201)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)
% 0.21/0.54  % (4228)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)
% 0.21/0.54  % (4207)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)
% 0.21/0.54  % (4208)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)
% 0.21/0.54  % (4204)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)
% 0.21/0.54  % (4206)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)
% 0.21/0.54  % (4202)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)
% 0.21/0.54  % (4205)Instruction limit reached!
% 0.21/0.54  % (4205)------------------------------
% 0.21/0.54  % (4205)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (4205)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (4205)Termination reason: Unknown
% 0.21/0.54  % (4205)Termination phase: Saturation
% 0.21/0.54  
% 0.21/0.54  % (4205)Memory used [KB]: 1918
% 0.21/0.54  % (4205)Time elapsed: 0.008 s
% 0.21/0.54  % (4205)Instructions burned: 15 (million)
% 0.21/0.54  % (4205)------------------------------
% 0.21/0.54  % (4205)------------------------------
% 0.21/0.54  % (4202)Instruction limit reached!
% 0.21/0.54  % (4202)------------------------------
% 0.21/0.54  % (4202)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54  % (4202)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54  % (4202)Termination reason: Unknown
% 0.21/0.54  % (4202)Termination phase: Preprocessing 3
% 0.21/0.54  
% 0.21/0.54  % (4202)Memory used [KB]: 1663
% 0.21/0.54  % (4202)Time elapsed: 0.003 s
% 0.21/0.54  % (4202)Instructions burned: 4 (million)
% 0.21/0.54  % (4202)------------------------------
% 0.21/0.54  % (4202)------------------------------
% 0.21/0.55  % (4223)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)
% 0.21/0.55  % (4204)Instruction limit reached!
% 0.21/0.55  % (4204)------------------------------
% 0.21/0.55  % (4204)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (4204)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (4204)Termination reason: Unknown
% 0.21/0.55  % (4204)Termination phase: Property scanning
% 0.21/0.55  
% 0.21/0.55  % (4204)Memory used [KB]: 2686
% 0.21/0.55  % (4204)Time elapsed: 0.008 s
% 0.21/0.55  % (4204)Instructions burned: 16 (million)
% 0.21/0.55  % (4204)------------------------------
% 0.21/0.55  % (4204)------------------------------
% 0.21/0.55  % (4209)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)
% 0.21/0.55  % (4212)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)
% 0.21/0.55  % (4200)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.55  % (4219)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)
% 0.21/0.55  % (4218)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)
% 0.21/0.55  % (4218)Instruction limit reached!
% 0.21/0.55  % (4218)------------------------------
% 0.21/0.55  % (4218)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.55  % (4218)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.55  % (4218)Termination reason: Unknown
% 0.21/0.55  % (4218)Termination phase: Preprocessing 1
% 0.21/0.55  
% 0.21/0.55  % (4218)Memory used [KB]: 1535
% 0.21/0.55  % (4218)Time elapsed: 0.002 s
% 0.21/0.55  % (4218)Instructions burned: 2 (million)
% 0.21/0.55  % (4218)------------------------------
% 0.21/0.55  % (4218)------------------------------
% 0.21/0.55  % (4211)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)
% 0.21/0.55  % (4210)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)
% 0.21/0.55  % (4225)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)
% 0.21/0.55  % (4230)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)
% 0.21/0.55  % (4226)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)
% 0.21/0.55  % (4215)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)
% 0.21/0.56  % (4211)Instruction limit reached!
% 0.21/0.56  % (4211)------------------------------
% 0.21/0.56  % (4211)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (4211)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (4211)Termination reason: Unknown
% 0.21/0.56  % (4211)Termination phase: Property scanning
% 0.21/0.56  
% 0.21/0.56  % (4211)Memory used [KB]: 1791
% 0.21/0.56  % (4211)Time elapsed: 0.006 s
% 0.21/0.56  % (4211)Instructions burned: 9 (million)
% 0.21/0.56  % (4211)------------------------------
% 0.21/0.56  % (4211)------------------------------
% 0.21/0.56  % (4215)Instruction limit reached!
% 0.21/0.56  % (4215)------------------------------
% 0.21/0.56  % (4215)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (4215)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (4215)Termination reason: Unknown
% 0.21/0.56  % (4215)Termination phase: Property scanning
% 0.21/0.56  
% 0.21/0.56  % (4215)Memory used [KB]: 1791
% 0.21/0.56  % (4215)Time elapsed: 0.004 s
% 0.21/0.56  % (4215)Instructions burned: 7 (million)
% 0.21/0.56  % (4215)------------------------------
% 0.21/0.56  % (4215)------------------------------
% 0.21/0.56  % (4224)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)
% 0.21/0.56  % (4217)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.56  % (4217)Instruction limit reached!
% 0.21/0.56  % (4217)------------------------------
% 0.21/0.56  % (4217)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (4217)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (4217)Termination reason: Unknown
% 0.21/0.56  % (4217)Termination phase: Naming
% 0.21/0.56  
% 0.21/0.56  % (4217)Memory used [KB]: 1535
% 0.21/0.56  % (4217)Time elapsed: 0.003 s
% 0.21/0.56  % (4217)Instructions burned: 3 (million)
% 0.21/0.56  % (4217)------------------------------
% 0.21/0.56  % (4217)------------------------------
% 0.21/0.56  % (4201)Instruction limit reached!
% 0.21/0.56  % (4201)------------------------------
% 0.21/0.56  % (4201)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.56  % (4201)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.56  % (4201)Termination reason: Unknown
% 0.21/0.56  % (4201)Termination phase: Saturation
% 0.21/0.56  
% 0.21/0.56  % (4201)Memory used [KB]: 1918
% 0.21/0.56  % (4201)Time elapsed: 0.008 s
% 0.21/0.56  % (4201)Instructions burned: 14 (million)
% 0.21/0.56  % (4201)------------------------------
% 0.21/0.56  % (4201)------------------------------
% 0.21/0.56  % (4227)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)
% 0.21/0.57  % (4216)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)
% 0.21/0.57  % (4219)Instruction limit reached!
% 0.21/0.57  % (4219)------------------------------
% 0.21/0.57  % (4219)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57  % (4219)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57  % (4219)Termination reason: Unknown
% 0.21/0.57  % (4219)Termination phase: Saturation
% 0.21/0.57  
% 0.21/0.57  % (4219)Memory used [KB]: 1791
% 0.21/0.57  % (4219)Time elapsed: 0.006 s
% 0.21/0.57  % (4219)Instructions burned: 13 (million)
% 0.21/0.57  % (4219)------------------------------
% 0.21/0.57  % (4219)------------------------------
% 0.21/0.57  % (4212)Instruction limit reached!
% 0.21/0.57  % (4212)------------------------------
% 0.21/0.57  % (4212)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.57  % (4212)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.57  % (4212)Termination reason: Unknown
% 0.21/0.57  % (4212)Termination phase: Saturation
% 0.21/0.57  
% 0.21/0.57  % (4212)Memory used [KB]: 1918
% 0.21/0.57  % (4212)Time elapsed: 0.008 s
% 0.21/0.57  % (4212)Instructions burned: 16 (million)
% 0.21/0.57  % (4212)------------------------------
% 0.21/0.57  % (4212)------------------------------
% 0.21/0.58  % (4210)Instruction limit reached!
% 0.21/0.58  % (4210)------------------------------
% 0.21/0.58  % (4210)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58  % (4210)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58  % (4210)Termination reason: Unknown
% 0.21/0.58  % (4210)Termination phase: Equality proxy
% 0.21/0.58  
% 0.21/0.58  % (4210)Memory used [KB]: 1791
% 0.21/0.58  % (4210)Time elapsed: 0.007 s
% 0.21/0.58  % (4210)Instructions burned: 12 (million)
% 0.21/0.58  % (4210)------------------------------
% 0.21/0.58  % (4210)------------------------------
% 0.21/0.58  % (4228)Instruction limit reached!
% 0.21/0.58  % (4228)------------------------------
% 0.21/0.58  % (4228)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58  % (4228)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58  % (4228)Termination reason: Unknown
% 0.21/0.58  % (4228)Termination phase: Saturation
% 0.21/0.58  
% 0.21/0.58  % (4228)Memory used [KB]: 6652
% 0.21/0.58  % (4228)Time elapsed: 0.154 s
% 0.21/0.58  % (4228)Instructions burned: 26 (million)
% 0.21/0.58  % (4228)------------------------------
% 0.21/0.58  % (4228)------------------------------
% 0.21/0.58  % (4230)Instruction limit reached!
% 0.21/0.58  % (4230)------------------------------
% 0.21/0.58  % (4230)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.58  % (4230)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.58  % (4230)Termination reason: Unknown
% 0.21/0.58  % (4230)Termination phase: Property scanning
% 0.21/0.58  
% 0.21/0.58  % (4230)Memory used [KB]: 2686
% 0.21/0.58  % (4230)Time elapsed: 0.011 s
% 0.21/0.58  % (4230)Instructions burned: 27 (million)
% 0.21/0.58  % (4230)------------------------------
% 0.21/0.58  % (4230)------------------------------
% 0.21/0.60  % (4209)Instruction limit reached!
% 0.21/0.60  % (4209)------------------------------
% 0.21/0.60  % (4209)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.60  % (4209)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.60  % (4209)Termination reason: Unknown
% 0.21/0.60  % (4209)Termination phase: Saturation
% 0.21/0.60  
% 0.21/0.60  % (4209)Memory used [KB]: 6908
% 0.21/0.60  % (4209)Time elapsed: 0.184 s
% 0.21/0.60  % (4209)Instructions burned: 33 (million)
% 0.21/0.60  % (4209)------------------------------
% 0.21/0.60  % (4209)------------------------------
% 1.99/0.62  % (4206)Instruction limit reached!
% 1.99/0.62  % (4206)------------------------------
% 1.99/0.62  % (4206)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.62  % (4206)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.62  % (4206)Termination reason: Unknown
% 1.99/0.62  % (4206)Termination phase: Saturation
% 1.99/0.62  
% 1.99/0.62  % (4206)Memory used [KB]: 6780
% 1.99/0.62  % (4206)Time elapsed: 0.177 s
% 1.99/0.62  % (4206)Instructions burned: 39 (million)
% 1.99/0.62  % (4206)------------------------------
% 1.99/0.62  % (4206)------------------------------
% 1.99/0.62  % (4208)Instruction limit reached!
% 1.99/0.62  % (4208)------------------------------
% 1.99/0.62  % (4208)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.62  % (4208)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.62  % (4208)Termination reason: Unknown
% 1.99/0.62  % (4208)Termination phase: Saturation
% 1.99/0.62  
% 1.99/0.62  % (4208)Memory used [KB]: 7164
% 1.99/0.62  % (4208)Time elapsed: 0.187 s
% 1.99/0.62  % (4208)Instructions burned: 49 (million)
% 1.99/0.62  % (4208)------------------------------
% 1.99/0.62  % (4208)------------------------------
% 1.99/0.62  % (4223)Instruction limit reached!
% 1.99/0.62  % (4223)------------------------------
% 1.99/0.62  % (4223)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.62  % (4223)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.63  % (4223)Termination reason: Unknown
% 1.99/0.63  % (4223)Termination phase: Property scanning
% 1.99/0.63  
% 1.99/0.63  % (4223)Memory used [KB]: 2686
% 1.99/0.63  % (4223)Time elapsed: 0.028 s
% 1.99/0.63  % (4223)Instructions burned: 84 (million)
% 1.99/0.63  % (4223)------------------------------
% 1.99/0.63  % (4223)------------------------------
% 1.99/0.63  % (4207)Instruction limit reached!
% 1.99/0.63  % (4207)------------------------------
% 1.99/0.63  % (4207)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.99/0.63  % (4207)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.99/0.63  % (4207)Termination reason: Unknown
% 1.99/0.63  % (4207)Termination phase: Saturation
% 1.99/0.63  
% 1.99/0.63  % (4207)Memory used [KB]: 7036
% 1.99/0.63  % (4207)Time elapsed: 0.188 s
% 1.99/0.63  % (4207)Instructions burned: 40 (million)
% 1.99/0.63  % (4207)------------------------------
% 1.99/0.63  % (4207)------------------------------
% 2.21/0.64  % (4203)Instruction limit reached!
% 2.21/0.64  % (4203)------------------------------
% 2.21/0.64  % (4203)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.64  % (4203)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.64  % (4203)Termination reason: Unknown
% 2.21/0.64  % (4203)Termination phase: Saturation
% 2.21/0.64  
% 2.21/0.64  % (4203)Memory used [KB]: 7291
% 2.21/0.64  % (4203)Time elapsed: 0.200 s
% 2.21/0.64  % (4203)Instructions burned: 51 (million)
% 2.21/0.64  % (4203)------------------------------
% 2.21/0.64  % (4203)------------------------------
% 2.21/0.64  % (4225)Instruction limit reached!
% 2.21/0.64  % (4225)------------------------------
% 2.21/0.64  % (4225)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.64  % (4225)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.64  % (4225)Termination reason: Unknown
% 2.21/0.64  % (4225)Termination phase: Saturation
% 2.21/0.64  
% 2.21/0.64  % (4225)Memory used [KB]: 7036
% 2.21/0.64  % (4225)Time elapsed: 0.207 s
% 2.21/0.64  % (4225)Instructions burned: 50 (million)
% 2.21/0.64  % (4225)------------------------------
% 2.21/0.64  % (4225)------------------------------
% 2.21/0.65  % (4216)Refutation not found, non-redundant clauses discarded% (4216)------------------------------
% 2.21/0.65  % (4216)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.65  % (4216)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.65  % (4216)Termination reason: Refutation not found, non-redundant clauses discarded
% 2.21/0.65  
% 2.21/0.65  % (4216)Memory used [KB]: 7164
% 2.21/0.65  % (4216)Time elapsed: 0.224 s
% 2.21/0.65  % (4216)Instructions burned: 48 (million)
% 2.21/0.65  % (4216)------------------------------
% 2.21/0.65  % (4216)------------------------------
% 2.21/0.65  % (4213)Instruction limit reached!
% 2.21/0.65  % (4213)------------------------------
% 2.21/0.65  % (4213)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.65  % (4213)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.65  % (4213)Termination reason: Unknown
% 2.21/0.65  % (4213)Termination phase: Saturation
% 2.21/0.65  
% 2.21/0.65  % (4213)Memory used [KB]: 6908
% 2.21/0.65  % (4213)Time elapsed: 0.215 s
% 2.21/0.65  % (4213)Instructions burned: 51 (million)
% 2.21/0.65  % (4213)------------------------------
% 2.21/0.65  % (4213)------------------------------
% 2.21/0.66  % (4231)lrs+1010_1:1_afq=1.1:anc=none:bd=off:sd=2:sos=on:ss=axioms:i=92:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/92Mi)
% 2.21/0.66  % (4224)Instruction limit reached!
% 2.21/0.66  % (4224)------------------------------
% 2.21/0.66  % (4224)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.66  % (4224)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.66  % (4224)Termination reason: Unknown
% 2.21/0.66  % (4224)Termination phase: Saturation
% 2.21/0.66  
% 2.21/0.66  % (4224)Memory used [KB]: 2558
% 2.21/0.66  % (4224)Time elapsed: 0.238 s
% 2.21/0.66  % (4224)Instructions burned: 45 (million)
% 2.21/0.66  % (4224)------------------------------
% 2.21/0.66  % (4224)------------------------------
% 2.21/0.67  % (4232)lrs+1011_1:1_afp=100000:afq=1.4:bd=preordered:cond=fast:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=16:sd=1:sos=all:sp=const_min:ss=axioms:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/7Mi)
% 2.21/0.68  % (4232)Instruction limit reached!
% 2.21/0.68  % (4232)------------------------------
% 2.21/0.68  % (4232)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.21/0.68  % (4236)lrs+1010_1:1_bd=off:skr=on:ss=axioms:i=56:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/56Mi)
% 2.21/0.68  % (4235)dis+1011_1:1_av=off:er=known:fde=unused:nwc=10.0:slsq=on:slsqc=1:slsqr=4,15:i=107:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/107Mi)
% 2.21/0.68  % (4232)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.21/0.68  % (4232)Termination reason: Unknown
% 2.21/0.68  % (4232)Termination phase: Property scanning
% 2.21/0.68  
% 2.21/0.68  % (4232)Memory used [KB]: 1791
% 2.21/0.68  % (4232)Time elapsed: 0.010 s
% 2.21/0.68  % (4232)Instructions burned: 7 (million)
% 2.21/0.68  % (4232)------------------------------
% 2.21/0.68  % (4232)------------------------------
% 2.21/0.68  % (4237)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=141:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/141Mi)
% 2.21/0.68  % (4238)dis+1011_1:16_fsr=off:nwc=2.0:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/42Mi)
% 2.21/0.69  % (4233)lrs+11_1:1_bd=off:sd=2:sos=all:sp=unary_frequency:ss=axioms:i=87:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/87Mi)
% 2.21/0.69  % (4242)lrs+10_1:1_br=off:s2a=on:s2agt=8:ss=axioms:st=2.0:urr=on:i=131:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/131Mi)
% 2.21/0.69  % (4234)ott+4_1:28_av=off:sos=all:i=69:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/69Mi)
% 2.21/0.70  % (4241)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 (2998ds/84Mi)
% 2.21/0.70  % (4240)lrs+1011_1:1_ep=RST:fs=off:fsr=off:s2a=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/68Mi)
% 2.59/0.71  % (4244)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)
% 2.59/0.72  % (4239)lrs+1010_1:1_ep=RS:sos=on:i=31:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/31Mi)
% 2.59/0.72  % (4231)First to succeed.
% 2.59/0.72  % (4245)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=86:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/86Mi)
% 2.59/0.73  % (4246)lrs+4_1:1_fde=unused:sos=on:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/15Mi)
% 2.59/0.73  % (4231)Refutation found. Thanks to Tanya!
% 2.59/0.73  % SZS status Theorem for theBenchmark
% 2.59/0.73  % SZS output start Proof for theBenchmark
% See solution above
% 2.59/0.73  % (4231)------------------------------
% 2.59/0.73  % (4231)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.59/0.73  % (4231)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.59/0.73  % (4231)Termination reason: Refutation
% 2.59/0.73  
% 2.59/0.73  % (4231)Memory used [KB]: 7036
% 2.59/0.73  % (4231)Time elapsed: 0.073 s
% 2.59/0.73  % (4231)Instructions burned: 54 (million)
% 2.59/0.73  % (4231)------------------------------
% 2.59/0.73  % (4231)------------------------------
% 2.59/0.73  % (4199)Success in time 0.353 s
%------------------------------------------------------------------------------