TSTP Solution File: NUM592+3 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM592+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.SVnXZ4L1x5 true

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 12:42:36 EDT 2023

% Result   : Theorem 6.48s 1.60s
% Output   : Refutation 6.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   29
% Syntax   : Number of formulae    :   77 (  20 unt;  24 typ;   0 def)
%            Number of atoms       :  233 (  46 equ;   0 cnn)
%            Maximal formula atoms :   21 (   4 avg)
%            Number of connectives :  905 ( 111   ~; 105   |;  48   &; 614   @)
%                                         (   5 <=>;  22  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   22 (  22   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   25 (  23 usr;  10 con; 0-2 aty)
%            Number of variables   :   67 (   0   ^;  61   !;   6   ?;  67   :)

% Comments : 
%------------------------------------------------------------------------------
thf(aSet0_type,type,
    aSet0: $i > $o ).

thf(xX_type,type,
    xX: $i ).

thf(slbdtsldtrb0_type,type,
    slbdtsldtrb0: $i > $i > $i ).

thf(xu_type,type,
    xu: $i ).

thf(sdtlpdtrp0_type,type,
    sdtlpdtrp0: $i > $i > $i ).

thf(isCountable0_type,type,
    isCountable0: $i > $o ).

thf(aElement0_type,type,
    aElement0: $i > $o ).

thf(sbrdtbr0_type,type,
    sbrdtbr0: $i > $i ).

thf(zip_tseitin_64_type,type,
    zip_tseitin_64: $i > $o ).

thf(xY_type,type,
    xY: $i ).

thf(sk__36_type,type,
    sk__36: $i > $i > $i ).

thf(sdtlseqdt0_type,type,
    sdtlseqdt0: $i > $i > $o ).

thf(xd_type,type,
    xd: $i ).

thf(sdtmndt0_type,type,
    sdtmndt0: $i > $i > $i ).

thf(szmzizndt0_type,type,
    szmzizndt0: $i > $i ).

thf(aSubsetOf0_type,type,
    aSubsetOf0: $i > $i > $o ).

thf(xC_type,type,
    xC: $i ).

thf(xT_type,type,
    xT: $i ).

thf(xk_type,type,
    xk: $i ).

thf(xN_type,type,
    xN: $i ).

thf(xi_type,type,
    xi: $i ).

thf(aElementOf0_type,type,
    aElementOf0: $i > $i > $o ).

thf(sk__37_type,type,
    sk__37: $i > $i ).

thf(m__4545,axiom,
    ( ! [W0: $i] :
        ( ( ( aSet0 @ W0 )
          & ( ( ( ! [W1: $i] :
                    ( ( aElementOf0 @ W1 @ W0 )
                   => ( aElementOf0 @ W1 @ xX ) )
                | ( aSubsetOf0 @ W0 @ xX ) )
              & ( ( sbrdtbr0 @ W0 )
                = xk ) )
            | ( aElementOf0 @ W0 @ ( slbdtsldtrb0 @ xX @ xk ) ) ) )
       => ( ( sdtlpdtrp0 @ xd @ W0 )
          = xu ) )
    & ( isCountable0 @ xX )
    & ( aSubsetOf0 @ xX @ xY )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ xX )
       => ( aElementOf0 @ W0 @ xY ) )
    & ( aSet0 @ xX )
    & ( aElementOf0 @ xu @ xT ) ) ).

thf(zip_derived_cl383,plain,
    aElementOf0 @ xu @ xT,
    inference(cnf,[status(esa)],[m__4545]) ).

thf(zip_derived_cl388,plain,
    ! [X0: $i] :
      ( ( ( sdtlpdtrp0 @ xd @ X0 )
        = xu )
      | ~ ( aElementOf0 @ X0 @ ( slbdtsldtrb0 @ xX @ xk ) )
      | ~ ( aSet0 @ X0 ) ),
    inference(cnf,[status(esa)],[m__4545]) ).

thf(m__,conjecture,
    ? [W0: $i] :
      ( ( aElementOf0 @ W0 @ xT )
      & ? [W1: $i] :
          ( ( ( ! [W2: $i] :
                  ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ xi ) )
                 => ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ W2 ) )
              & ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ ( sdtlpdtrp0 @ xN @ xi ) ) )
           => ( ( ! [W2: $i] :
                    ( ( aElementOf0 @ W2 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
                  <=> ( ( W2
                       != ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) )
                      & ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ xi ) )
                      & ( aElement0 @ W2 ) ) )
                & ( aSet0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) )
             => ( ( aSubsetOf0 @ W1 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
                | ( ! [W2: $i] :
                      ( ( aElementOf0 @ W2 @ W1 )
                     => ( aElementOf0 @ W2 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) )
                  & ( aSet0 @ W1 ) ) ) ) )
          & ( isCountable0 @ W1 )
          & ! [W2: $i] :
              ( ( ( aElementOf0 @ W2 @ ( slbdtsldtrb0 @ W1 @ xk ) )
                & ( ( sbrdtbr0 @ W2 )
                  = xk )
                & ( aSubsetOf0 @ W2 @ W1 )
                & ! [W3: $i] :
                    ( ( aElementOf0 @ W3 @ W2 )
                   => ( aElementOf0 @ W3 @ W1 ) )
                & ( aSet0 @ W2 ) )
             => ( ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ xi ) @ W2 )
                = W0 ) ) ) ) ).

thf(zf_stmt_0,type,
    zip_tseitin_64: $i > $o ).

thf(zf_stmt_1,axiom,
    ! [W2: $i] :
      ( ( zip_tseitin_64 @ W2 )
    <=> ( ( aElement0 @ W2 )
        & ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ xi ) )
        & ( W2
         != ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ) ).

thf(zf_stmt_2,conjecture,
    ? [W0: $i] :
      ( ? [W1: $i] :
          ( ! [W2: $i] :
              ( ( ( aSet0 @ W2 )
                & ! [W3: $i] :
                    ( ( aElementOf0 @ W3 @ W2 )
                   => ( aElementOf0 @ W3 @ W1 ) )
                & ( aSubsetOf0 @ W2 @ W1 )
                & ( ( sbrdtbr0 @ W2 )
                  = xk )
                & ( aElementOf0 @ W2 @ ( slbdtsldtrb0 @ W1 @ xk ) ) )
             => ( ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ xi ) @ W2 )
                = W0 ) )
          & ( isCountable0 @ W1 )
          & ( ( ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ ( sdtlpdtrp0 @ xN @ xi ) )
              & ! [W2: $i] :
                  ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ xi ) )
                 => ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ W2 ) ) )
           => ( ( ( aSet0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
                & ! [W2: $i] :
                    ( ( aElementOf0 @ W2 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
                  <=> ( zip_tseitin_64 @ W2 ) ) )
             => ( ( ( aSet0 @ W1 )
                  & ! [W2: $i] :
                      ( ( aElementOf0 @ W2 @ W1 )
                     => ( aElementOf0 @ W2 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ) )
                | ( aSubsetOf0 @ W1 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ) ) ) )
      & ( aElementOf0 @ W0 @ xT ) ) ).

thf(zf_stmt_3,negated_conjecture,
    ~ ? [W0: $i] :
        ( ? [W1: $i] :
            ( ! [W2: $i] :
                ( ( ( aSet0 @ W2 )
                  & ! [W3: $i] :
                      ( ( aElementOf0 @ W3 @ W2 )
                     => ( aElementOf0 @ W3 @ W1 ) )
                  & ( aSubsetOf0 @ W2 @ W1 )
                  & ( ( sbrdtbr0 @ W2 )
                    = xk )
                  & ( aElementOf0 @ W2 @ ( slbdtsldtrb0 @ W1 @ xk ) ) )
               => ( ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ xi ) @ W2 )
                  = W0 ) )
            & ( isCountable0 @ W1 )
            & ( ( ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ ( sdtlpdtrp0 @ xN @ xi ) )
                & ! [W2: $i] :
                    ( ( aElementOf0 @ W2 @ ( sdtlpdtrp0 @ xN @ xi ) )
                   => ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ W2 ) ) )
             => ( ( ( aSet0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
                  & ! [W2: $i] :
                      ( ( aElementOf0 @ W2 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
                    <=> ( zip_tseitin_64 @ W2 ) ) )
               => ( ( ( aSet0 @ W1 )
                    & ! [W2: $i] :
                        ( ( aElementOf0 @ W2 @ W1 )
                       => ( aElementOf0 @ W2 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ) )
                  | ( aSubsetOf0 @ W1 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ) ) ) )
        & ( aElementOf0 @ W0 @ xT ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl426,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
      | ~ ( isCountable0 @ X0 )
      | ( ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ xi ) @ ( sk__36 @ X0 @ X1 ) )
       != X1 )
      | ~ ( aElementOf0 @ X1 @ xT ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(m__4448_02,axiom,
    ( ( xd
      = ( sdtlpdtrp0 @ xC @ xi ) )
    & ( xY
      = ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ xY )
      <=> ( ( aElement0 @ W0 )
          & ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xi ) )
          & ( W0
           != ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) )
    & ( aSet0 @ xY )
    & ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ ( sdtlpdtrp0 @ xN @ xi ) )
       => ( sdtlseqdt0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ W0 ) )
    & ( aElementOf0 @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ).

thf(zip_derived_cl366,plain,
    ( xY
    = ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ),
    inference(cnf,[status(esa)],[m__4448_02]) ).

thf(zip_derived_cl367,plain,
    ( xd
    = ( sdtlpdtrp0 @ xC @ xi ) ),
    inference(cnf,[status(esa)],[m__4448_02]) ).

thf(zip_derived_cl6764,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ xY )
      | ~ ( isCountable0 @ X0 )
      | ( ( sdtlpdtrp0 @ xd @ ( sk__36 @ X0 @ X1 ) )
       != X1 )
      | ~ ( aElementOf0 @ X1 @ xT ) ),
    inference(demod,[status(thm)],[zip_derived_cl426,zip_derived_cl366,zip_derived_cl367]) ).

thf(zip_derived_cl6765,plain,
    ! [X0: $i,X1: $i] :
      ( ( xu != X0 )
      | ~ ( aSet0 @ ( sk__36 @ X1 @ X0 ) )
      | ~ ( aElementOf0 @ ( sk__36 @ X1 @ X0 ) @ ( slbdtsldtrb0 @ xX @ xk ) )
      | ~ ( aElementOf0 @ X0 @ xT )
      | ~ ( isCountable0 @ X1 )
      | ~ ( aSubsetOf0 @ X1 @ xY ) ),
    inference('sup-',[status(thm)],[zip_derived_cl388,zip_derived_cl6764]) ).

thf(zip_derived_cl431,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
      | ~ ( isCountable0 @ X0 )
      | ( aSet0 @ ( sk__36 @ X0 @ X1 ) )
      | ~ ( aElementOf0 @ X1 @ xT ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl366_001,plain,
    ( xY
    = ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ),
    inference(cnf,[status(esa)],[m__4448_02]) ).

thf(zip_derived_cl6731,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ xY )
      | ~ ( isCountable0 @ X0 )
      | ( aSet0 @ ( sk__36 @ X0 @ X1 ) )
      | ~ ( aElementOf0 @ X1 @ xT ) ),
    inference(demod,[status(thm)],[zip_derived_cl431,zip_derived_cl366]) ).

thf(zip_derived_cl6769,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSubsetOf0 @ X1 @ xY )
      | ~ ( isCountable0 @ X1 )
      | ~ ( aElementOf0 @ X0 @ xT )
      | ~ ( aElementOf0 @ ( sk__36 @ X1 @ X0 ) @ ( slbdtsldtrb0 @ xX @ xk ) )
      | ( xu != X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl6765,zip_derived_cl6731]) ).

thf(zip_derived_cl421,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ ( sk__37 @ X0 ) @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
      | ~ ( aSet0 @ X0 )
      | ~ ( isCountable0 @ X0 )
      | ( aElementOf0 @ ( sk__36 @ X0 @ X1 ) @ ( slbdtsldtrb0 @ X0 @ xk ) )
      | ~ ( aElementOf0 @ X1 @ xT ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl366_002,plain,
    ( xY
    = ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ),
    inference(cnf,[status(esa)],[m__4448_02]) ).

thf(zip_derived_cl8455,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ ( sk__37 @ X0 ) @ xY )
      | ~ ( aSet0 @ X0 )
      | ~ ( isCountable0 @ X0 )
      | ( aElementOf0 @ ( sk__36 @ X0 @ X1 ) @ ( slbdtsldtrb0 @ X0 @ xk ) )
      | ~ ( aElementOf0 @ X1 @ xT ) ),
    inference(demod,[status(thm)],[zip_derived_cl421,zip_derived_cl366]) ).

thf(zip_derived_cl8474,plain,
    ! [X0: $i] :
      ( ( xu != X0 )
      | ~ ( aElementOf0 @ X0 @ xT )
      | ~ ( isCountable0 @ xX )
      | ~ ( aSubsetOf0 @ xX @ xY )
      | ~ ( aElementOf0 @ X0 @ xT )
      | ~ ( isCountable0 @ xX )
      | ~ ( aSet0 @ xX )
      | ~ ( aElementOf0 @ ( sk__37 @ xX ) @ xY ) ),
    inference('sup+',[status(thm)],[zip_derived_cl6769,zip_derived_cl8455]) ).

thf(zip_derived_cl387,plain,
    isCountable0 @ xX,
    inference(cnf,[status(esa)],[m__4545]) ).

thf(zip_derived_cl386,plain,
    aSubsetOf0 @ xX @ xY,
    inference(cnf,[status(esa)],[m__4545]) ).

thf(zip_derived_cl387_003,plain,
    isCountable0 @ xX,
    inference(cnf,[status(esa)],[m__4545]) ).

thf(zip_derived_cl384,plain,
    aSet0 @ xX,
    inference(cnf,[status(esa)],[m__4545]) ).

thf(zip_derived_cl383_004,plain,
    aElementOf0 @ xu @ xT,
    inference(cnf,[status(esa)],[m__4545]) ).

thf(zip_derived_cl416,plain,
    ! [X0: $i,X1: $i] :
      ( ( aElementOf0 @ ( sk__37 @ X0 ) @ X0 )
      | ~ ( aSet0 @ X0 )
      | ~ ( isCountable0 @ X0 )
      | ( ( sbrdtbr0 @ ( sk__36 @ X0 @ X1 ) )
        = xk )
      | ~ ( aElementOf0 @ X1 @ xT ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl391,plain,
    ! [X0: $i] :
      ( ( ( sdtlpdtrp0 @ xd @ X0 )
        = xu )
      | ( ( sbrdtbr0 @ X0 )
       != xk )
      | ~ ( aSubsetOf0 @ X0 @ xX )
      | ~ ( aSet0 @ X0 ) ),
    inference(cnf,[status(esa)],[m__4545]) ).

thf(zip_derived_cl6764_005,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ xY )
      | ~ ( isCountable0 @ X0 )
      | ( ( sdtlpdtrp0 @ xd @ ( sk__36 @ X0 @ X1 ) )
       != X1 )
      | ~ ( aElementOf0 @ X1 @ xT ) ),
    inference(demod,[status(thm)],[zip_derived_cl426,zip_derived_cl366,zip_derived_cl367]) ).

thf(zip_derived_cl6768,plain,
    ! [X0: $i,X1: $i] :
      ( ( xu != X0 )
      | ~ ( aSet0 @ ( sk__36 @ X1 @ X0 ) )
      | ~ ( aSubsetOf0 @ ( sk__36 @ X1 @ X0 ) @ xX )
      | ( ( sbrdtbr0 @ ( sk__36 @ X1 @ X0 ) )
       != xk )
      | ~ ( aElementOf0 @ X0 @ xT )
      | ~ ( isCountable0 @ X1 )
      | ~ ( aSubsetOf0 @ X1 @ xY ) ),
    inference('sup-',[status(thm)],[zip_derived_cl391,zip_derived_cl6764]) ).

thf(zip_derived_cl6731_006,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ xY )
      | ~ ( isCountable0 @ X0 )
      | ( aSet0 @ ( sk__36 @ X0 @ X1 ) )
      | ~ ( aElementOf0 @ X1 @ xT ) ),
    inference(demod,[status(thm)],[zip_derived_cl431,zip_derived_cl366]) ).

thf(zip_derived_cl6794,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSubsetOf0 @ X1 @ xY )
      | ~ ( isCountable0 @ X1 )
      | ~ ( aElementOf0 @ X0 @ xT )
      | ( ( sbrdtbr0 @ ( sk__36 @ X1 @ X0 ) )
       != xk )
      | ~ ( aSubsetOf0 @ ( sk__36 @ X1 @ X0 ) @ xX )
      | ( xu != X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl6768,zip_derived_cl6731]) ).

thf(zip_derived_cl417,plain,
    ! [X0: $i,X1: $i] :
      ( ( aElementOf0 @ ( sk__37 @ X0 ) @ X0 )
      | ~ ( aSet0 @ X0 )
      | ~ ( isCountable0 @ X0 )
      | ( aSubsetOf0 @ ( sk__36 @ X0 @ X1 ) @ X0 )
      | ~ ( aElementOf0 @ X1 @ xT ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl7024,plain,
    ! [X0: $i] :
      ( ( xu != X0 )
      | ( ( sbrdtbr0 @ ( sk__36 @ xX @ X0 ) )
       != xk )
      | ~ ( aElementOf0 @ X0 @ xT )
      | ~ ( isCountable0 @ xX )
      | ~ ( aSubsetOf0 @ xX @ xY )
      | ~ ( aElementOf0 @ X0 @ xT )
      | ~ ( isCountable0 @ xX )
      | ~ ( aSet0 @ xX )
      | ( aElementOf0 @ ( sk__37 @ xX ) @ xX ) ),
    inference('sup+',[status(thm)],[zip_derived_cl6794,zip_derived_cl417]) ).

thf(zip_derived_cl387_007,plain,
    isCountable0 @ xX,
    inference(cnf,[status(esa)],[m__4545]) ).

thf(zip_derived_cl386_008,plain,
    aSubsetOf0 @ xX @ xY,
    inference(cnf,[status(esa)],[m__4545]) ).

thf(zip_derived_cl387_009,plain,
    isCountable0 @ xX,
    inference(cnf,[status(esa)],[m__4545]) ).

thf(zip_derived_cl384_010,plain,
    aSet0 @ xX,
    inference(cnf,[status(esa)],[m__4545]) ).

thf(zip_derived_cl7030,plain,
    ! [X0: $i] :
      ( ( xu != X0 )
      | ( ( sbrdtbr0 @ ( sk__36 @ xX @ X0 ) )
       != xk )
      | ~ ( aElementOf0 @ X0 @ xT )
      | ~ ( aElementOf0 @ X0 @ xT )
      | ( aElementOf0 @ ( sk__37 @ xX ) @ xX ) ),
    inference(demod,[status(thm)],[zip_derived_cl7024,zip_derived_cl387,zip_derived_cl386,zip_derived_cl387,zip_derived_cl384]) ).

thf(zip_derived_cl7031,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ ( sk__37 @ xX ) @ xX )
      | ~ ( aElementOf0 @ X0 @ xT )
      | ( ( sbrdtbr0 @ ( sk__36 @ xX @ X0 ) )
       != xk )
      | ( xu != X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7030]) ).

thf(zip_derived_cl7224,plain,
    ! [X0: $i] :
      ( ( xk != xk )
      | ~ ( aElementOf0 @ X0 @ xT )
      | ~ ( isCountable0 @ xX )
      | ~ ( aSet0 @ xX )
      | ( aElementOf0 @ ( sk__37 @ xX ) @ xX )
      | ( xu != X0 )
      | ~ ( aElementOf0 @ X0 @ xT )
      | ( aElementOf0 @ ( sk__37 @ xX ) @ xX ) ),
    inference('sup-',[status(thm)],[zip_derived_cl416,zip_derived_cl7031]) ).

thf(zip_derived_cl387_011,plain,
    isCountable0 @ xX,
    inference(cnf,[status(esa)],[m__4545]) ).

thf(zip_derived_cl384_012,plain,
    aSet0 @ xX,
    inference(cnf,[status(esa)],[m__4545]) ).

thf(zip_derived_cl7229,plain,
    ! [X0: $i] :
      ( ( xk != xk )
      | ~ ( aElementOf0 @ X0 @ xT )
      | ( aElementOf0 @ ( sk__37 @ xX ) @ xX )
      | ( xu != X0 )
      | ~ ( aElementOf0 @ X0 @ xT )
      | ( aElementOf0 @ ( sk__37 @ xX ) @ xX ) ),
    inference(demod,[status(thm)],[zip_derived_cl7224,zip_derived_cl387,zip_derived_cl384]) ).

thf(zip_derived_cl7230,plain,
    ! [X0: $i] :
      ( ( xu != X0 )
      | ( aElementOf0 @ ( sk__37 @ xX ) @ xX )
      | ~ ( aElementOf0 @ X0 @ xT ) ),
    inference(simplify,[status(thm)],[zip_derived_cl7229]) ).

thf(zip_derived_cl7231,plain,
    ( ( aElementOf0 @ ( sk__37 @ xX ) @ xX )
    | ( xu != xu ) ),
    inference('sup-',[status(thm)],[zip_derived_cl383,zip_derived_cl7230]) ).

thf(zip_derived_cl7241,plain,
    aElementOf0 @ ( sk__37 @ xX ) @ xX,
    inference(simplify,[status(thm)],[zip_derived_cl7231]) ).

thf(zip_derived_cl385,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ xY )
      | ~ ( aElementOf0 @ X0 @ xX ) ),
    inference(cnf,[status(esa)],[m__4545]) ).

thf(zip_derived_cl7266,plain,
    aElementOf0 @ ( sk__37 @ xX ) @ xY,
    inference('sup-',[status(thm)],[zip_derived_cl7241,zip_derived_cl385]) ).

thf(zip_derived_cl8476,plain,
    ! [X0: $i] :
      ( ( xu != X0 )
      | ~ ( aElementOf0 @ X0 @ xT )
      | ~ ( aElementOf0 @ X0 @ xT ) ),
    inference(demod,[status(thm)],[zip_derived_cl8474,zip_derived_cl387,zip_derived_cl386,zip_derived_cl387,zip_derived_cl384,zip_derived_cl7266]) ).

thf(zip_derived_cl8477,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ X0 @ xT )
      | ( xu != X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl8476]) ).

thf(zip_derived_cl8493,plain,
    xu != xu,
    inference('sup-',[status(thm)],[zip_derived_cl383,zip_derived_cl8477]) ).

thf(zip_derived_cl8504,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl8493]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM592+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.SVnXZ4L1x5 true
% 0.13/0.35  % Computer : n003.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 : Fri Aug 25 09:37:23 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 6.48/1.60  % Solved by fo/fo3_bce.sh.
% 6.48/1.60  % BCE start: 444
% 6.48/1.60  % BCE eliminated: 0
% 6.48/1.60  % PE start: 444
% 6.48/1.60  logic: eq
% 6.48/1.60  % PE eliminated: -2
% 6.48/1.60  % done 689 iterations in 0.865s
% 6.48/1.60  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 6.48/1.60  % SZS output start Refutation
% See solution above
% 6.48/1.60  
% 6.48/1.60  
% 6.48/1.60  % Terminating...
% 7.14/1.65  % Runner terminated.
% 7.14/1.66  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------