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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU610^2 : 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.Sy0cbMFI50 true

% Computer : n029.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 04:55:21 PM UTC 2025

% Result   : Theorem 0.50s 0.74s
% Output   : Refutation 0.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   24 (  14 unt;   0 typ;   0 def)
%            Number of atoms       :   93 (  20 equ;   0 cnn)
%            Maximal formula atoms :   13 (   3 avg)
%            Number of connectives :  222 (  10   ~;  11   |;   0   &; 154   @)
%                                         (   4 <=>;  43  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   8 con; 0-2 aty)
%            Number of variables   :   69 (   0   ^;  69   !;   0   ?;  69   :)

% Comments : 
%------------------------------------------------------------------------------
thf(subsetI2_type,type,
    subsetI2: $o ).

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

thf(setminusI_type,type,
    setminusI: $o ).

thf(setminus_type,type,
    setminus: $i > $i > $i ).

thf(emptysetE_type,type,
    emptysetE: $o ).

thf(sk__13_type,type,
    sk__13: $i ).

thf(in__Cong_type,type,
    in__Cong: $o ).

thf(sk__12_type,type,
    sk__12: $i ).

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

thf(emptyset_type,type,
    emptyset: $i ).

thf(sk__14_type,type,
    sk__14: $i > $i > $i ).

thf(setminusI,axiom,
    ( setminusI
    = ( ! [A: $i,B: $i,Xx: $i] :
          ( ( in @ Xx @ A )
         => ( ~ ( in @ Xx @ B )
           => ( in @ Xx @ ( setminus @ A @ B ) ) ) ) ) ) ).

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

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

thf('1',plain,
    ( subsetI2
    = ( ! [X4: $i,X6: $i] :
          ( ! [X8: $i] :
              ( ( in @ X8 @ X4 )
             => ( in @ X8 @ X6 ) )
         => ( subset @ X4 @ X6 ) ) ) ),
    define([status(thm)]) ).

thf(in__Cong,axiom,
    ( in__Cong
    = ( ! [A: $i,B: $i] :
          ( ( A = B )
         => ! [Xx: $i,Xy: $i] :
              ( ( Xx = Xy )
             => ( ( in @ Xx @ A )
              <=> ( in @ Xy @ B ) ) ) ) ) ) ).

thf('2',plain,
    ( in__Cong
    = ( ! [X4: $i,X6: $i] :
          ( ( X4 = X6 )
         => ! [X8: $i,X10: $i] :
              ( ( X8 = X10 )
             => ( ( in @ X8 @ X4 )
              <=> ( in @ X10 @ X6 ) ) ) ) ) ),
    define([status(thm)]) ).

thf(emptysetE,axiom,
    ( emptysetE
    = ( ! [Xx: $i] :
          ( ( in @ Xx @ emptyset )
         => ! [Xphi: $o] : Xphi ) ) ) ).

thf('3',plain,
    ( emptysetE
    = ( ! [X4: $i] :
          ( ( in @ X4 @ emptyset )
         => ! [X6: $o] : X6 ) ) ),
    define([status(thm)]) ).

thf(setminusSubset1,conjecture,
    ( emptysetE
   => ( in__Cong
     => ( subsetI2
       => ( setminusI
         => ! [A: $i,B: $i] :
              ( ( ( setminus @ A @ B )
                = emptyset )
             => ( subset @ A @ B ) ) ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ! [X4: $i] :
        ( ( in @ X4 @ emptyset )
       => ! [X6: $o] : X6 )
   => ( ! [X8: $i,X10: $i] :
          ( ( X8 = X10 )
         => ! [X12: $i,X14: $i] :
              ( ( X12 = X14 )
             => ( ( in @ X12 @ X8 )
              <=> ( in @ X14 @ X10 ) ) ) )
     => ( ! [X16: $i,X18: $i] :
            ( ! [X20: $i] :
                ( ( in @ X20 @ X16 )
               => ( in @ X20 @ X18 ) )
           => ( subset @ X16 @ X18 ) )
       => ( ! [X22: $i,X24: $i,X26: $i] :
              ( ( in @ X26 @ X22 )
             => ( ~ ( in @ X26 @ X24 )
               => ( in @ X26 @ ( setminus @ X22 @ X24 ) ) ) )
         => ! [X28: $i,X30: $i] :
              ( ( ( setminus @ X28 @ X30 )
                = emptyset )
             => ( subset @ X28 @ X30 ) ) ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( ! [X4: $i] :
          ( ( in @ X4 @ emptyset )
         => ! [X6: $o] : X6 )
     => ( ! [X8: $i,X10: $i] :
            ( ( X8 = X10 )
           => ! [X12: $i,X14: $i] :
                ( ( X12 = X14 )
               => ( ( in @ X12 @ X8 )
                <=> ( in @ X14 @ X10 ) ) ) )
       => ( ! [X16: $i,X18: $i] :
              ( ! [X20: $i] :
                  ( ( in @ X20 @ X16 )
                 => ( in @ X20 @ X18 ) )
             => ( subset @ X16 @ X18 ) )
         => ( ! [X22: $i,X24: $i,X26: $i] :
                ( ( in @ X26 @ X22 )
               => ( ~ ( in @ X26 @ X24 )
                 => ( in @ X26 @ ( setminus @ X22 @ X24 ) ) ) )
           => ! [X28: $i,X30: $i] :
                ( ( ( setminus @ X28 @ X30 )
                  = emptyset )
               => ( subset @ X28 @ X30 ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ~ ( subset @ sk__12 @ sk__13 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1,plain,
    ! [X2: $i,X3: $i] :
      ( ( subset @ X2 @ X3 )
      | ~ ( in @ ( sk__14 @ X3 @ X2 ) @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl4,plain,
    ( ( setminus @ sk__12 @ sk__13 )
    = emptyset ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl2,plain,
    ! [X2: $i,X3: $i] :
      ( ( subset @ X2 @ X3 )
      | ( in @ ( sk__14 @ X3 @ X2 ) @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl5,plain,
    ! [X4: $i,X5: $i,X6: $i] :
      ( ( in @ X4 @ X5 )
      | ( in @ X4 @ ( setminus @ X6 @ X5 ) )
      | ~ ( in @ X4 @ X6 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl33,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( subset @ X0 @ X1 )
      | ( in @ ( sk__14 @ X1 @ X0 ) @ ( setminus @ X0 @ X2 ) )
      | ( in @ ( sk__14 @ X1 @ X0 ) @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl5]) ).

thf(zip_derived_cl39,plain,
    ! [X0: $i] :
      ( ( in @ ( sk__14 @ X0 @ sk__12 ) @ emptyset )
      | ( in @ ( sk__14 @ X0 @ sk__12 ) @ sk__13 )
      | ( subset @ sk__12 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl4,zip_derived_cl33]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $o,X1: $i] :
      ( X0
      | ~ ( in @ X1 @ emptyset ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl15,plain,
    ! [X0: $i] :
      ~ ( in @ X0 @ emptyset ),
    inference(ho_elim_pred,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl45,plain,
    ! [X0: $i] :
      ( ( in @ ( sk__14 @ X0 @ sk__12 ) @ sk__13 )
      | ( subset @ sk__12 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl39,zip_derived_cl15]) ).

thf(zip_derived_cl53,plain,
    ( ( subset @ sk__12 @ sk__13 )
    | ( subset @ sk__12 @ sk__13 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl45]) ).

thf(zip_derived_cl57,plain,
    subset @ sk__12 @ sk__13,
    inference(simplify,[status(thm)],[zip_derived_cl53]) ).

thf(zip_derived_cl61,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl57]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU610^2 : TPTP v9.2.0. Released v3.7.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Sy0cbMFI50 true
% 0.12/0.34  % Computer : n029.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Oct  1 16:01:53 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
% 0.12/0.35  % Running in HO mode
% 0.49/0.64  % Total configuration time : 828
% 0.49/0.64  % Estimated wc time : 1656
% 0.49/0.64  % Estimated cpu time (8 cpus) : 207.0
% 0.50/0.69  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.50/0.71  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.50/0.71  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.50/0.71  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.50/0.72  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.50/0.72  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.50/0.72  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.50/0.72  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.50/0.74  % Solved by lams/40_c.s.sh.
% 0.50/0.74  % done 20 iterations in 0.028s
% 0.50/0.74  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.50/0.74  % SZS output start Refutation
% See solution above
% 0.50/0.74  
% 0.50/0.74  
% 0.50/0.74  % Terminating...
% 0.58/0.83  % Runner terminated.
% 0.58/0.85  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------