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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM613+1 : 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.eLAAcxA9yx true

% Computer : n005.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 04:47:38 PM UTC 2025

% Result   : Theorem 0.57s 0.85s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   26 (  17 unt;   0 typ;   0 def)
%            Number of atoms       :   43 (  28 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  125 (  14   ~;  10   |;   5   &;  94   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   6 con; 0-2 aty)
%            Number of variables   :    6 (   0   ^;   6   !;   0   ?;   6   :)

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

thf(xQ_type,type,
    xQ: $i ).

thf(szszuzczcdt0_type,type,
    szszuzczcdt0: $i > $i ).

thf(xP_type,type,
    xP: $i ).

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

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

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

thf(xK_type,type,
    xK: $i ).

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

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

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

thf(m__5255,axiom,
    ( ( aElementOf0 @ ( sbrdtbr0 @ xP ) @ szNzAzT0 )
    & ( ( szszuzczcdt0 @ ( sbrdtbr0 @ xP ) )
      = ( sbrdtbr0 @ xQ ) )
    & ( ( sbrdtbr0 @ xQ )
      = ( szszuzczcdt0 @ xk ) ) ) ).

thf(zip_derived_cl196,plain,
    aElementOf0 @ ( sbrdtbr0 @ xP ) @ szNzAzT0,
    inference(cnf,[status(esa)],[m__5255]) ).

thf(m__5164,axiom,
    ( ( xP
      = ( sdtmndt0 @ xQ @ ( szmzizndt0 @ xQ ) ) )
    & ( aSet0 @ xP ) ) ).

thf(zip_derived_cl190,plain,
    ( xP
    = ( sdtmndt0 @ xQ @ ( szmzizndt0 @ xQ ) ) ),
    inference(cnf,[status(esa)],[m__5164]) ).

thf(zip_derived_cl197,plain,
    ( ( szszuzczcdt0 @ ( sbrdtbr0 @ xP ) )
    = ( sbrdtbr0 @ xQ ) ),
    inference(cnf,[status(esa)],[m__5255]) ).

thf(zip_derived_cl190_001,plain,
    ( xP
    = ( sdtmndt0 @ xQ @ ( szmzizndt0 @ xQ ) ) ),
    inference(cnf,[status(esa)],[m__5164]) ).

thf(zip_derived_cl198,plain,
    ( ( sbrdtbr0 @ xQ )
    = ( szszuzczcdt0 @ xk ) ),
    inference(cnf,[status(esa)],[m__5255]) ).

thf(m__3533,axiom,
    ( ( ( szszuzczcdt0 @ xk )
      = xK )
    & ( aElementOf0 @ xk @ szNzAzT0 ) ) ).

thf(zip_derived_cl145,plain,
    ( ( szszuzczcdt0 @ xk )
    = xK ),
    inference(cnf,[status(esa)],[m__3533]) ).

thf(zip_derived_cl212,plain,
    ( ( sbrdtbr0 @ xQ )
    = xK ),
    inference(demod,[status(thm)],[zip_derived_cl198,zip_derived_cl145]) ).

thf(zip_derived_cl327,plain,
    ( ( szszuzczcdt0 @ ( sbrdtbr0 @ ( sdtmndt0 @ xQ @ ( szmzizndt0 @ xQ ) ) ) )
    = xK ),
    inference(demod,[status(thm)],[zip_derived_cl197,zip_derived_cl190,zip_derived_cl212]) ).

thf(zip_derived_cl146,plain,
    aElementOf0 @ xk @ szNzAzT0,
    inference(cnf,[status(esa)],[m__3533]) ).

thf(mSuccEquSucc,axiom,
    ! [W0: $i,W1: $i] :
      ( ( ( aElementOf0 @ W0 @ szNzAzT0 )
        & ( aElementOf0 @ W1 @ szNzAzT0 ) )
     => ( ( ( szszuzczcdt0 @ W0 )
          = ( szszuzczcdt0 @ W1 ) )
       => ( W0 = W1 ) ) ) ).

thf(zip_derived_cl48,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( aElementOf0 @ X0 @ szNzAzT0 )
      | ~ ( aElementOf0 @ X1 @ szNzAzT0 )
      | ( X0 = X1 )
      | ( ( szszuzczcdt0 @ X0 )
       != ( szszuzczcdt0 @ X1 ) ) ),
    inference(cnf,[status(esa)],[mSuccEquSucc]) ).

thf(zip_derived_cl259,plain,
    ! [X0: $i] :
      ( ( ( szszuzczcdt0 @ xk )
       != ( szszuzczcdt0 @ X0 ) )
      | ( xk = X0 )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl146,zip_derived_cl48]) ).

thf(zip_derived_cl145_002,plain,
    ( ( szszuzczcdt0 @ xk )
    = xK ),
    inference(cnf,[status(esa)],[m__3533]) ).

thf(zip_derived_cl260,plain,
    ! [X0: $i] :
      ( ( xK
       != ( szszuzczcdt0 @ X0 ) )
      | ( xk = X0 )
      | ~ ( aElementOf0 @ X0 @ szNzAzT0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl259,zip_derived_cl145]) ).

thf(zip_derived_cl330,plain,
    ( ( xK != xK )
    | ~ ( aElementOf0 @ ( sbrdtbr0 @ ( sdtmndt0 @ xQ @ ( szmzizndt0 @ xQ ) ) ) @ szNzAzT0 )
    | ( xk
      = ( sbrdtbr0 @ ( sdtmndt0 @ xQ @ ( szmzizndt0 @ xQ ) ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl327,zip_derived_cl260]) ).

thf(zip_derived_cl332,plain,
    ( ( xk
      = ( sbrdtbr0 @ ( sdtmndt0 @ xQ @ ( szmzizndt0 @ xQ ) ) ) )
    | ~ ( aElementOf0 @ ( sbrdtbr0 @ ( sdtmndt0 @ xQ @ ( szmzizndt0 @ xQ ) ) ) @ szNzAzT0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl330]) ).

thf(m__,conjecture,
    ( ( sbrdtbr0 @ xP )
    = xk ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ( sbrdtbr0 @ xP )
   != xk ),
    inference('cnf.neg',[status(esa)],[m__]) ).

thf(zip_derived_cl199,plain,
    ( ( sbrdtbr0 @ xP )
   != xk ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl190_003,plain,
    ( xP
    = ( sdtmndt0 @ xQ @ ( szmzizndt0 @ xQ ) ) ),
    inference(cnf,[status(esa)],[m__5164]) ).

thf(zip_derived_cl211,plain,
    ( ( sbrdtbr0 @ ( sdtmndt0 @ xQ @ ( szmzizndt0 @ xQ ) ) )
   != xk ),
    inference(demod,[status(thm)],[zip_derived_cl199,zip_derived_cl190]) ).

thf(zip_derived_cl333,plain,
    ~ ( aElementOf0 @ ( sbrdtbr0 @ ( sdtmndt0 @ xQ @ ( szmzizndt0 @ xQ ) ) ) @ szNzAzT0 ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl332,zip_derived_cl211]) ).

thf(zip_derived_cl342,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl196,zip_derived_cl190,zip_derived_cl333]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.14  % Problem  : NUM613+1 : TPTP v9.2.0. Released v4.0.0.
% 0.10/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.eLAAcxA9yx true
% 0.13/0.37  % Computer : n005.cluster.edu
% 0.13/0.37  % Model    : x86_64 x86_64
% 0.13/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37  % Memory   : 8042.1875MB
% 0.13/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.37  % CPULimit : 300
% 0.13/0.37  % WCLimit  : 300
% 0.13/0.37  % DateTime : Wed Oct  1 16:50:38 EDT 2025
% 0.13/0.37  % CPUTime  : 
% 0.13/0.37  % Running portfolio for 300 s
% 0.13/0.37  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.37  % Number of cores: 8
% 0.13/0.38  % Python version: Python 3.6.8
% 0.13/0.38  % Running in FO mode
% 0.53/0.67  % Total configuration time : 435
% 0.53/0.67  % Estimated wc time : 1092
% 0.53/0.67  % Estimated cpu time (7 cpus) : 156.0
% 0.55/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.55/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.55/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.79  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.85  % Solved by fo/fo7.sh.
% 0.57/0.85  % done 124 iterations in 0.053s
% 0.57/0.85  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.85  % SZS output start Refutation
% See solution above
% 0.57/0.85  
% 0.57/0.85  
% 0.57/0.85  % Terminating...
% 1.61/0.89  % Runner terminated.
% 1.61/0.90  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------