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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM592+1 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.AdeAr11WoE true

% Computer : n004.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 Oct  2 04:47:33 PM UTC 2025

% Result   : Theorem 0.58s 1.01s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   27 (  11 unt;   0 typ;   0 def)
%            Number of atoms       :   81 (  18 equ;   0 cnn)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives :  322 (  47   ~;  38   |;  13   &; 221   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   20 (  18 usr;  10 con; 0-2 aty)
%            Number of variables   :   27 (   0   ^;  23   !;   4   ?;  27   :)

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

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

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

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

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

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

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

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

thf(sk__18_type,type,
    sk__18: $i > $i > $i ).

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

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

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

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

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

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

thf(zip_derived_cl167,plain,
    aElementOf0 @ xu @ xT,
    inference(cnf,[status(esa)],[m__4545]) ).

thf(zip_derived_cl170,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] :
      ( ? [W1: $i] :
          ( ! [W2: $i] :
              ( ( ( aSet0 @ W2 )
                & ( aElementOf0 @ W2 @ ( slbdtsldtrb0 @ W1 @ xk ) ) )
             => ( ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ xi ) @ W2 )
                = W0 ) )
          & ( isCountable0 @ W1 )
          & ( aSubsetOf0 @ W1 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) )
      & ( aElementOf0 @ W0 @ xT ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [W0: $i] :
        ( ? [W1: $i] :
            ( ! [W2: $i] :
                ( ( ( aSet0 @ W2 )
                  & ( aElementOf0 @ W2 @ ( slbdtsldtrb0 @ W1 @ xk ) ) )
               => ( ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ xi ) @ W2 )
                  = W0 ) )
            & ( isCountable0 @ W1 )
            & ( aSubsetOf0 @ W1 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) )
        & ( aElementOf0 @ W0 @ xT ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl171,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
      | ~ ( isCountable0 @ X0 )
      | ( ( sdtlpdtrp0 @ ( sdtlpdtrp0 @ xC @ xi ) @ ( sk__18 @ X0 @ X1 ) )
       != X1 )
      | ~ ( aElementOf0 @ X1 @ xT ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(m__4448_02,axiom,
    ( ( xd
      = ( sdtlpdtrp0 @ xC @ xi ) )
    & ( xY
      = ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ) ) ).

thf(zip_derived_cl161,plain,
    ( xY
    = ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ),
    inference(cnf,[status(esa)],[m__4448_02]) ).

thf(zip_derived_cl160,plain,
    ( xd
    = ( sdtlpdtrp0 @ xC @ xi ) ),
    inference(cnf,[status(esa)],[m__4448_02]) ).

thf(zip_derived_cl2295,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ xY )
      | ~ ( isCountable0 @ X0 )
      | ( ( sdtlpdtrp0 @ xd @ ( sk__18 @ X0 @ X1 ) )
       != X1 )
      | ~ ( aElementOf0 @ X1 @ xT ) ),
    inference(demod,[status(thm)],[zip_derived_cl171,zip_derived_cl161,zip_derived_cl160]) ).

thf(zip_derived_cl2296,plain,
    ! [X0: $i,X1: $i] :
      ( ( xu != X0 )
      | ~ ( aSet0 @ ( sk__18 @ X1 @ X0 ) )
      | ~ ( aElementOf0 @ ( sk__18 @ X1 @ X0 ) @ ( slbdtsldtrb0 @ xX @ xk ) )
      | ~ ( aElementOf0 @ X0 @ xT )
      | ~ ( isCountable0 @ X1 )
      | ~ ( aSubsetOf0 @ X1 @ xY ) ),
    inference('sup-',[status(thm)],[zip_derived_cl170,zip_derived_cl2295]) ).

thf(zip_derived_cl173,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
      | ~ ( isCountable0 @ X0 )
      | ( aSet0 @ ( sk__18 @ X0 @ X1 ) )
      | ~ ( aElementOf0 @ X1 @ xT ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl161_001,plain,
    ( xY
    = ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ),
    inference(cnf,[status(esa)],[m__4448_02]) ).

thf(zip_derived_cl2230,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ xY )
      | ~ ( isCountable0 @ X0 )
      | ( aSet0 @ ( sk__18 @ X0 @ X1 ) )
      | ~ ( aElementOf0 @ X1 @ xT ) ),
    inference(demod,[status(thm)],[zip_derived_cl173,zip_derived_cl161]) ).

thf(zip_derived_cl2297,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSubsetOf0 @ X1 @ xY )
      | ~ ( isCountable0 @ X1 )
      | ~ ( aElementOf0 @ X0 @ xT )
      | ~ ( aElementOf0 @ ( sk__18 @ X1 @ X0 ) @ ( slbdtsldtrb0 @ xX @ xk ) )
      | ( xu != X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl2296,zip_derived_cl2230]) ).

thf(zip_derived_cl172,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) )
      | ~ ( isCountable0 @ X0 )
      | ( aElementOf0 @ ( sk__18 @ X0 @ X1 ) @ ( slbdtsldtrb0 @ X0 @ xk ) )
      | ~ ( aElementOf0 @ X1 @ xT ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl161_002,plain,
    ( xY
    = ( sdtmndt0 @ ( sdtlpdtrp0 @ xN @ xi ) @ ( szmzizndt0 @ ( sdtlpdtrp0 @ xN @ xi ) ) ) ),
    inference(cnf,[status(esa)],[m__4448_02]) ).

thf(zip_derived_cl2385,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aSubsetOf0 @ X0 @ xY )
      | ~ ( isCountable0 @ X0 )
      | ( aElementOf0 @ ( sk__18 @ X0 @ X1 ) @ ( slbdtsldtrb0 @ X0 @ xk ) )
      | ~ ( aElementOf0 @ X1 @ xT ) ),
    inference(demod,[status(thm)],[zip_derived_cl172,zip_derived_cl161]) ).

thf(zip_derived_cl2404,plain,
    ! [X0: $i] :
      ( ( xu != X0 )
      | ~ ( aElementOf0 @ X0 @ xT )
      | ~ ( isCountable0 @ xX )
      | ~ ( aSubsetOf0 @ xX @ xY )
      | ~ ( aElementOf0 @ X0 @ xT )
      | ~ ( isCountable0 @ xX )
      | ~ ( aSubsetOf0 @ xX @ xY ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2297,zip_derived_cl2385]) ).

thf(zip_derived_cl169,plain,
    isCountable0 @ xX,
    inference(cnf,[status(esa)],[m__4545]) ).

thf(zip_derived_cl168,plain,
    aSubsetOf0 @ xX @ xY,
    inference(cnf,[status(esa)],[m__4545]) ).

thf(zip_derived_cl169_003,plain,
    isCountable0 @ xX,
    inference(cnf,[status(esa)],[m__4545]) ).

thf(zip_derived_cl168_004,plain,
    aSubsetOf0 @ xX @ xY,
    inference(cnf,[status(esa)],[m__4545]) ).

thf(zip_derived_cl2406,plain,
    ! [X0: $i] :
      ( ( xu != X0 )
      | ~ ( aElementOf0 @ X0 @ xT )
      | ~ ( aElementOf0 @ X0 @ xT ) ),
    inference(demod,[status(thm)],[zip_derived_cl2404,zip_derived_cl169,zip_derived_cl168,zip_derived_cl169,zip_derived_cl168]) ).

thf(zip_derived_cl2407,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ X0 @ xT )
      | ( xu != X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2406]) ).

thf(zip_derived_cl2415,plain,
    xu != xu,
    inference('sup-',[status(thm)],[zip_derived_cl167,zip_derived_cl2407]) ).

thf(zip_derived_cl2419,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl2415]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : NUM592+1 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.AdeAr11WoE true
% 0.13/0.35  % Computer : n004.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 : Wed Oct  1 16:19:53 EDT 2025
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in FO mode
% 0.55/0.64  % Total configuration time : 435
% 0.55/0.64  % Estimated wc time : 1092
% 0.55/0.64  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.71  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.74  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.78  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.78  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.80  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.82  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 0.58/1.01  % Solved by fo/fo3_bce.sh.
% 0.58/1.01  % BCE start: 174
% 0.58/1.01  % BCE eliminated: 0
% 0.58/1.01  % PE start: 174
% 0.58/1.01  logic: eq
% 0.58/1.01  % PE eliminated: -2
% 0.58/1.01  % done 243 iterations in 0.251s
% 0.58/1.01  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/1.01  % SZS output start Refutation
% See solution above
% 0.58/1.01  
% 0.58/1.01  
% 0.58/1.01  % Terminating...
% 0.58/1.06  % Runner terminated.
% 0.58/1.07  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------