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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET043^5 : 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.A4LtAxiecb true

% Computer : n016.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 04:51:17 PM UTC 2025

% Result   : Theorem 0.63s 0.78s
% Output   : Refutation 0.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   13 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :   30 (   2 equ;   3 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :   70 (  12   ~;   2   |;   0   &;  48   @)
%                                         (   5 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   2 usr;   5 con; 0-2 aty)
%                                         (   2  !!;   1  ??;   0 @@+;   0 @@-)
%            Number of variables   :   12 (   3   ^;   7   !;   2   ?;  12   :)

% Comments : 
%------------------------------------------------------------------------------
thf('#sk1_type',type,
    '#sk1': $i ).

thf(cE_type,type,
    cE: $i > $i > $o ).

thf(cRUSSELL1,conjecture,
    ~ ? [U: $i] :
      ! [V: $i] :
        ( ( cE @ V @ U )
      <=> ~ ( cE @ V @ V ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ? [U: $i] :
    ! [V: $i] :
      ( ( cE @ V @ U )
    <=> ~ ( cE @ V @ V ) ),
    inference('cnf.neg',[status(esa)],[cRUSSELL1]) ).

thf(zip_derived_cl0,plain,
    ( ??
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( ( cE @ Y1 @ Y0 )
          <=> ( (~) @ ( cE @ Y1 @ Y1 ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( cE @ Y0 @ '#sk1' )
      <=> ( (~) @ ( cE @ Y0 @ Y0 ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ! [X2: $i] :
      ( ( cE @ X2 @ '#sk1' )
    <=> ( (~) @ ( cE @ X2 @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl3,plain,
    ! [X2: $i] :
      ( ( cE @ X2 @ '#sk1' )
     != ( cE @ X2 @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl5,plain,
    ! [X2: $i] :
      ( ~ ( cE @ X2 @ '#sk1' )
      | ~ ( cE @ X2 @ X2 ) ),
    inference(eq_elim,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl7,plain,
    ~ ( cE @ '#sk1' @ '#sk1' ),
    inference(eq_fact,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl3_001,plain,
    ! [X2: $i] :
      ( ( cE @ X2 @ '#sk1' )
     != ( cE @ X2 @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl4,plain,
    ! [X2: $i] :
      ( ( cE @ X2 @ '#sk1' )
      | ( cE @ X2 @ X2 ) ),
    inference(eq_elim,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl7_002,plain,
    ~ ( cE @ '#sk1' @ '#sk1' ),
    inference(eq_fact,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl9,plain,
    cE @ '#sk1' @ '#sk1',
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl7]) ).

thf(zip_derived_cl29,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl9]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SET043^5 : TPTP v9.2.0. Released v4.0.0.
% 0.04/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.A4LtAxiecb true
% 0.14/0.35  % Computer : n016.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % 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 12:54:23 EDT 2025
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.36  % Running in HO mode
% 0.61/0.69  % Total configuration time : 828
% 0.61/0.69  % Estimated wc time : 1656
% 0.61/0.69  % Estimated cpu time (8 cpus) : 207.0
% 0.62/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.62/0.75  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.62/0.76  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.63/0.78  % Solved by lams/35_full_unif4.sh.
% 0.63/0.78  % done 4 iterations in 0.011s
% 0.63/0.78  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.63/0.78  % SZS output start Refutation
% See solution above
% 0.63/0.78  
% 0.63/0.78  
% 0.63/0.78  % Terminating...
% 0.72/0.88  % Runner terminated.
% 0.72/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------