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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM590+3 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xh0Y42QMV2 true

% 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 : Thu Oct  2 04:47:33 PM UTC 2025

% Result   : Theorem 3.02s 1.10s
% Output   : Refutation 3.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   14 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :   38 (   3 equ;   0 cnn)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  133 (   9   ~;   8   |;  10   &; 100   @)
%                                         (   1 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  16 usr;   8 con; 0-2 aty)
%            Number of variables   :   11 (   0   ^;  11   !;   0   ?;  11   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__30_type,type,
    sk__30: $i ).

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

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

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

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

thf(xY_type,type,
    xY: $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(szNzAzT0_type,type,
    szNzAzT0: $i ).

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

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

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

thf(m__,conjecture,
    ( ( aSubsetOf0 @ xY @ szNzAzT0 )
    | ! [W0: $i] :
        ( ( aElementOf0 @ W0 @ xY )
       => ( aElementOf0 @ W0 @ szNzAzT0 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( aSubsetOf0 @ xY @ szNzAzT0 )
      | ! [W0: $i] :
          ( ( aElementOf0 @ W0 @ xY )
         => ( aElementOf0 @ W0 @ szNzAzT0 ) ) ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl322,plain,
    ~ ( aElementOf0 @ sk__30 @ szNzAzT0 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(m__3671,axiom,
    ! [W0: $i] :
      ( ( aElementOf0 @ W0 @ szNzAzT0 )
     => ( ( aSet0 @ ( sdtlpdtrp0 @ xN @ W0 ) )
        & ! [W1: $i] :
            ( ( aElementOf0 @ W1 @ ( sdtlpdtrp0 @ xN @ W0 ) )
           => ( aElementOf0 @ W1 @ szNzAzT0 ) )
        & ( aSubsetOf0 @ ( sdtlpdtrp0 @ xN @ W0 ) @ szNzAzT0 )
        & ( isCountable0 @ ( sdtlpdtrp0 @ xN @ W0 ) ) ) ) ).

thf(zip_derived_cl170,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ X1 ) )
      | ( aElementOf0 @ X0 @ szNzAzT0 )
      | ~ ( aElementOf0 @ X1 @ szNzAzT0 ) ),
    inference(cnf,[status(esa)],[m__3671]) ).

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_cl318,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ ( sdtlpdtrp0 @ xN @ xi ) )
      | ~ ( aElementOf0 @ X0 @ xY ) ),
    inference(cnf,[status(esa)],[m__4448_02]) ).

thf(zip_derived_cl3058,plain,
    ! [X0: $i] :
      ( ~ ( aElementOf0 @ xi @ szNzAzT0 )
      | ( aElementOf0 @ X0 @ szNzAzT0 )
      | ~ ( aElementOf0 @ X0 @ xY ) ),
    inference('sup+',[status(thm)],[zip_derived_cl170,zip_derived_cl318]) ).

thf(m__4448,axiom,
    aElementOf0 @ xi @ szNzAzT0 ).

thf(zip_derived_cl312,plain,
    aElementOf0 @ xi @ szNzAzT0,
    inference(cnf,[status(esa)],[m__4448]) ).

thf(zip_derived_cl3060,plain,
    ! [X0: $i] :
      ( ( aElementOf0 @ X0 @ szNzAzT0 )
      | ~ ( aElementOf0 @ X0 @ xY ) ),
    inference(demod,[status(thm)],[zip_derived_cl3058,zip_derived_cl312]) ).

thf(zip_derived_cl323,plain,
    aElementOf0 @ sk__30 @ xY,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3064,plain,
    aElementOf0 @ sk__30 @ szNzAzT0,
    inference('sup+',[status(thm)],[zip_derived_cl3060,zip_derived_cl323]) ).

thf(zip_derived_cl3074,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl322,zip_derived_cl3064]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM590+3 : TPTP v9.2.0. Released v4.0.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xh0Y42QMV2 true
% 0.14/0.34  % Computer : n019.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Wed Oct  1 16:32:23 EDT 2025
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in FO mode
% 0.60/0.70  % Total configuration time : 435
% 0.60/0.70  % Estimated wc time : 1092
% 0.60/0.70  % Estimated cpu time (7 cpus) : 156.0
% 0.60/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.60/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.60/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.61/0.81  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.61/0.82  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.61/0.82  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.61/0.83  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.62/0.90  % /export/starexec/sandbox2/solver/bin/fo/fo1_lcnf.sh running for 50s
% 3.02/1.10  % Solved by fo/fo3_bce.sh.
% 3.02/1.10  % BCE start: 325
% 3.02/1.10  % BCE eliminated: 39
% 3.02/1.10  % PE start: 286
% 3.02/1.10  logic: eq
% 3.02/1.10  % PE eliminated: -17
% 3.02/1.10  % done 123 iterations in 0.281s
% 3.02/1.10  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 3.02/1.10  % SZS output start Refutation
% See solution above
% 3.02/1.10  
% 3.02/1.10  
% 3.02/1.10  % Terminating...
% 3.56/1.21  % Runner terminated.
% 3.56/1.22  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------