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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU601^2 : TPTP v9.2.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.55Y0LN6A4m true

% Computer : n024.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 04:55:18 PM UTC 2025

% Result   : Theorem 1.49s 2.69s
% Output   : Refutation 1.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   17 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :   48 (   5 equ;   4 cnn)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :  157 (  24   ~;   6   |;   0   &; 110   @)
%                                         (   0 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    6 (   6   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   7 usr;   6 con; 0-2 aty)
%            Number of variables   :   45 (  18   ^;  27   !;   0   ?;  45   :)

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

thf(sk__3_type,type,
    sk__3: $i ).

thf(dsetconstrI_type,type,
    dsetconstrI: $o ).

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

thf(dsetconstr_type,type,
    dsetconstr: $i > ( $i > $o ) > $i ).

thf(sk__4_type,type,
    sk__4: $i ).

thf(sk__5_type,type,
    sk__5: $i ).

thf(setminus,axiom,
    ( setminus
    = ( ^ [A: $i,B: $i] :
          ( dsetconstr @ A
          @ ^ [Xx: $i] :
              ~ ( in @ Xx @ B ) ) ) ) ).

thf('0',plain,
    ( setminus
    = ( ^ [A: $i,B: $i] :
          ( dsetconstr @ A
          @ ^ [Xx: $i] :
              ~ ( in @ Xx @ B ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[setminus]) ).

thf('1',plain,
    ( setminus
    = ( ^ [V_1: $i,V_2: $i] :
          ( dsetconstr @ V_1
          @ ^ [V_3: $i] :
              ~ ( in @ V_3 @ V_2 ) ) ) ),
    define([status(thm)]) ).

thf(dsetconstrI,axiom,
    ( dsetconstrI
    = ( ! [A: $i,Xphi: $i > $o,Xx: $i] :
          ( ( in @ Xx @ A )
         => ( ( Xphi @ Xx )
           => ( in @ Xx
              @ ( dsetconstr @ A
                @ ^ [Xy: $i] : ( Xphi @ Xy ) ) ) ) ) ) ) ).

thf('2',plain,
    ( dsetconstrI
    = ( ! [X4: $i,X6: $i > $o,X8: $i] :
          ( ( in @ X8 @ X4 )
         => ( ( X6 @ X8 )
           => ( in @ X8
              @ ( dsetconstr @ X4
                @ ^ [V_1: $i] : ( X6 @ V_1 ) ) ) ) ) ) ),
    define([status(thm)]) ).

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

thf(zf_stmt_0,conjecture,
    ( ! [X4: $i,X6: $i > $o,X8: $i] :
        ( ( in @ X8 @ X4 )
       => ( ( X6 @ X8 )
         => ( in @ X8
            @ ( dsetconstr @ X4
              @ ^ [V_1: $i] : ( X6 @ V_1 ) ) ) ) )
   => ! [X10: $i,X12: $i,X14: $i] :
        ( ( in @ X14 @ X10 )
       => ( ~ ( in @ X14 @ X12 )
         => ( in @ X14
            @ ( dsetconstr @ X10
              @ ^ [V_2: $i] :
                  ~ ( in @ V_2 @ X12 ) ) ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( ! [X4: $i,X6: $i > $o,X8: $i] :
          ( ( in @ X8 @ X4 )
         => ( ( X6 @ X8 )
           => ( in @ X8
              @ ( dsetconstr @ X4
                @ ^ [V_1: $i] : ( X6 @ V_1 ) ) ) ) )
     => ! [X10: $i,X12: $i,X14: $i] :
          ( ( in @ X14 @ X10 )
         => ( ~ ( in @ X14 @ X12 )
           => ( in @ X14
              @ ( dsetconstr @ X10
                @ ^ [V_2: $i] :
                    ~ ( in @ V_2 @ X12 ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i > $o,X1: $i,X2: $i] :
      ( ~ ( X0 @ X1 )
      | ( in @ X1
        @ ( dsetconstr @ X2
          @ ^ [Y0: $i] : ( X0 @ Y0 ) ) )
      | ~ ( in @ X1 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i > $o,X1: $i,X2: $i] :
      ( ~ ( X0 @ X1 )
      | ( in @ X1 @ ( dsetconstr @ X2 @ X0 ) )
      | ~ ( in @ X1 @ X2 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ~ ( in @ sk__5
      @ ( dsetconstr @ sk__3
        @ ^ [Y0: $i] : ( (~) @ ( in @ Y0 @ sk__4 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl5,plain,
    ( ~ ( in @ sk__5 @ sk__3 )
    | ~ ( ^ [Y0: $i] : ( (~) @ ( in @ Y0 @ sk__4 ) )
        @ sk__5 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl2]) ).

thf(zip_derived_cl35,plain,
    ( ~ ( in @ sk__5 @ sk__3 )
    | ~ ( (~) @ ( in @ sk__5 @ sk__4 ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl3,plain,
    in @ sk__5 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1,plain,
    ~ ( in @ sk__5 @ sk__4 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl36,plain,
    ~ ( (~) @ $false ),
    inference(demod,[status(thm)],[zip_derived_cl35,zip_derived_cl3,zip_derived_cl1]) ).

thf(zip_derived_cl37,plain,
    $false,
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl36]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/1.03  % Problem  : SEU601^2 : TPTP v9.2.0. Released v3.7.0.
% 0.12/1.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.55Y0LN6A4m true
% 0.14/1.52  % Computer : n024.cluster.edu
% 0.14/1.52  % Model    : x86_64 x86_64
% 0.14/1.52  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/1.52  % Memory   : 8042.1875MB
% 0.14/1.52  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/1.52  % CPULimit : 300
% 0.14/1.52  % WCLimit  : 300
% 0.14/1.52  % DateTime : Wed Oct  1 16:12:54 EDT 2025
% 0.14/1.53  % CPUTime  : 
% 0.14/1.53  % Running portfolio for 300 s
% 0.14/1.53  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/1.55  % Number of cores: 8
% 0.14/1.56  % Python version: Python 3.6.8
% 0.19/1.59  % Running in HO mode
% 0.31/2.11  % Total configuration time : 828
% 0.31/2.11  % Estimated wc time : 1656
% 0.31/2.11  % Estimated cpu time (8 cpus) : 207.0
% 1.40/2.53  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 1.40/2.56  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.40/2.58  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.40/2.59  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.40/2.63  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.40/2.64  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.48/2.65  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.48/2.66  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.49/2.69  % Solved by lams/40_c.s.sh.
% 1.49/2.69  % done 3 iterations in 0.041s
% 1.49/2.69  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.49/2.69  % SZS output start Refutation
% See solution above
% 1.49/2.69  
% 1.49/2.69  
% 1.49/2.69  % Terminating...
% 1.76/2.88  % Runner terminated.
% 1.80/2.91  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------