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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU562^2 : TPTP v9.2.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.W3jKvwankF 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 04:55:04 PM UTC 2025

% Result   : Theorem 0.52s 0.77s
% Output   : Refutation 0.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   10 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :   59 (   5 equ;   0 cnn)
%            Maximal formula atoms :   16 (   5 avg)
%            Number of connectives :  127 (   2   ~;   0   |;   0   &;  86   @)
%                                         (   0 <=>;  31  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   3 usr;   3 con; 0-2 aty)
%                                         (   8  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   42 (  14   ^;  28   !;   0   ?;  42   :)

% Comments : 
%------------------------------------------------------------------------------
thf(in_type,type,
    in: $i > $i > $o ).

thf(subsetI1_type,type,
    subsetI1: $o ).

thf(subset_type,type,
    subset: $i > $i > $o ).

thf(subsetI1,axiom,
    ( subsetI1
    = ( ! [A: $i,B: $i] :
          ( ! [Xx: $i] :
              ( ( in @ Xx @ A )
             => ( in @ Xx @ B ) )
         => ( subset @ A @ B ) ) ) ) ).

thf('0',plain,
    ( subsetI1
    = ( ! [X4: $i,X6: $i] :
          ( ! [X8: $i] :
              ( ( in @ X8 @ X4 )
             => ( in @ X8 @ X6 ) )
         => ( subset @ X4 @ X6 ) ) ) ),
    define([status(thm)]) ).

thf(subset,axiom,
    ( subset
    = ( ^ [A: $i,B: $i] :
        ! [Xx: $i] :
          ( ( in @ Xx @ A )
         => ( in @ Xx @ B ) ) ) ) ).

thf('1',plain,
    ( subset
    = ( ^ [A: $i,B: $i] :
        ! [Xx: $i] :
          ( ( in @ Xx @ A )
         => ( in @ Xx @ B ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[subset]) ).

thf('2',plain,
    ( subset
    = ( ^ [V_1: $i,V_2: $i] :
        ! [X4: $i] :
          ( ( in @ X4 @ V_1 )
         => ( in @ X4 @ V_2 ) ) ) ),
    define([status(thm)]) ).

thf(subsetI2,conjecture,
    ( subsetI1
   => ! [A: $i,B: $i] :
        ( ! [Xx: $i] :
            ( ( in @ Xx @ A )
           => ( in @ Xx @ B ) )
       => ( subset @ A @ B ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ! [X4: $i,X6: $i] :
        ( ! [X8: $i] :
            ( ( in @ X8 @ X4 )
           => ( in @ X8 @ X6 ) )
       => ! [X10: $i] :
            ( ( in @ X10 @ X4 )
           => ( in @ X10 @ X6 ) ) )
   => ! [X12: $i,X14: $i] :
        ( ! [X16: $i] :
            ( ( in @ X16 @ X12 )
           => ( in @ X16 @ X14 ) )
       => ! [X18: $i] :
            ( ( in @ X18 @ X12 )
           => ( in @ X18 @ X14 ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( ! [X4: $i,X6: $i] :
          ( ! [X8: $i] :
              ( ( in @ X8 @ X4 )
             => ( in @ X8 @ X6 ) )
         => ! [X10: $i] :
              ( ( in @ X10 @ X4 )
             => ( in @ X10 @ X6 ) ) )
     => ! [X12: $i,X14: $i] :
          ( ! [X16: $i] :
              ( ( in @ X16 @ X12 )
             => ( in @ X16 @ X14 ) )
         => ! [X18: $i] :
              ( ( in @ X18 @ X12 )
             => ( in @ X18 @ X14 ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ~ ( ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( !!
                  @ ^ [Y2: $i] :
                      ( ( in @ Y2 @ Y0 )
                     => ( in @ Y2 @ Y1 ) ) )
               => ( !!
                  @ ^ [Y2: $i] :
                      ( ( in @ Y2 @ Y0 )
                     => ( in @ Y2 @ Y1 ) ) ) ) ) )
     => ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( !!
                  @ ^ [Y2: $i] :
                      ( ( in @ Y2 @ Y0 )
                     => ( in @ Y2 @ Y1 ) ) )
               => ( !!
                  @ ^ [Y2: $i] :
                      ( ( in @ Y2 @ Y0 )
                     => ( in @ Y2 @ Y1 ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1,plain,
    $false,
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl0]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.12  % Problem  : SEU562^2 : TPTP v9.2.0. Released v3.7.0.
% 0.09/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.W3jKvwankF true
% 0.12/0.33  % Computer : n004.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Wed Oct  1 16:03:53 EDT 2025
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.34  % Running in HO mode
% 0.51/0.64  % Total configuration time : 828
% 0.51/0.64  % Estimated wc time : 1656
% 0.51/0.64  % Estimated cpu time (8 cpus) : 207.0
% 0.51/0.74  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.51/0.75  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.51/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.51/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.51/0.76  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.51/0.76  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.52/0.77  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.52/0.77  % Solved by lams/35_full_unif4.sh.
% 0.52/0.77  % done 0 iterations in 0.008s
% 0.52/0.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.52/0.77  % SZS output start Refutation
% See solution above
% 0.52/0.77  
% 0.52/0.77  
% 0.52/0.77  % Terminating...
% 0.52/0.85  % Runner terminated.
% 1.76/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------