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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU715^2 : 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.NsyWt5Z3Ja true

% Computer : n022.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 04:55:56 PM UTC 2025

% Result   : Theorem 0.59s 0.81s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   47 (  17 unt;   0 typ;   0 def)
%            Number of atoms       :  159 (  32 equ;   0 cnn)
%            Maximal formula atoms :   17 (   3 avg)
%            Number of connectives :  473 (  35   ~;  50   |;   0   &; 334   @)
%                                         (   0 <=>;  54  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   74 (   0   ^;  74   !;   0   ?;  74   :)

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

thf(sk__9_type,type,
    sk__9: $i ).

thf(sk__8_type,type,
    sk__8: $i ).

thf(setext_type,type,
    setext: $o ).

thf(powersetE_type,type,
    powersetE: $o ).

thf(sk__11_type,type,
    sk__11: $i > $i > $i ).

thf(sk__7_type,type,
    sk__7: $i ).

thf(powerset_type,type,
    powerset: $i > $i ).

thf(sk__10_type,type,
    sk__10: $i > $i > $i ).

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

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

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

thf('1',plain,
    ( setext
    = ( ! [X4: $i,X6: $i] :
          ( ! [X8: $i] :
              ( ( in @ X8 @ X4 )
             => ( in @ X8 @ X6 ) )
         => ( ! [X10: $i] :
                ( ( in @ X10 @ X6 )
               => ( in @ X10 @ X4 ) )
           => ( X4 = X6 ) ) ) ) ),
    define([status(thm)]) ).

thf(setextT,conjecture,
    ( setext
   => ( powersetE
     => ! [A: $i,X: $i] :
          ( ( in @ X @ ( powerset @ A ) )
         => ! [Y: $i] :
              ( ( in @ Y @ ( powerset @ A ) )
             => ( ! [Xx: $i] :
                    ( ( in @ Xx @ A )
                   => ( ( in @ Xx @ X )
                     => ( in @ Xx @ Y ) ) )
               => ( ! [Xx: $i] :
                      ( ( in @ Xx @ A )
                     => ( ( in @ Xx @ Y )
                       => ( in @ Xx @ X ) ) )
                 => ( X = Y ) ) ) ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ! [X4: $i,X6: $i] :
        ( ! [X8: $i] :
            ( ( in @ X8 @ X4 )
           => ( in @ X8 @ X6 ) )
       => ( ! [X10: $i] :
              ( ( in @ X10 @ X6 )
             => ( in @ X10 @ X4 ) )
         => ( X4 = X6 ) ) )
   => ( ! [X12: $i,X14: $i,X16: $i] :
          ( ( in @ X14 @ ( powerset @ X12 ) )
         => ( ( in @ X16 @ X14 )
           => ( in @ X16 @ X12 ) ) )
     => ! [X18: $i,X20: $i] :
          ( ( in @ X20 @ ( powerset @ X18 ) )
         => ! [X22: $i] :
              ( ( in @ X22 @ ( powerset @ X18 ) )
             => ( ! [X24: $i] :
                    ( ( in @ X24 @ X18 )
                   => ( ( in @ X24 @ X20 )
                     => ( in @ X24 @ X22 ) ) )
               => ( ! [X26: $i] :
                      ( ( in @ X26 @ X18 )
                     => ( ( in @ X26 @ X22 )
                       => ( in @ X26 @ X20 ) ) )
                 => ( X20 = X22 ) ) ) ) ) ) ) ).

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

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ ( sk__10 @ X0 @ X1 ) @ X1 )
      | ( X1 = X0 )
      | ~ ( in @ ( sk__11 @ X0 @ X1 ) @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl7,plain,
    ! [X3: $i] :
      ( ~ ( in @ X3 @ sk__8 )
      | ( in @ X3 @ sk__9 )
      | ~ ( in @ X3 @ sk__7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl60,plain,
    ! [X0: $i] :
      ( ~ ( in @ ( sk__11 @ X0 @ sk__9 ) @ X0 )
      | ( sk__9 = X0 )
      | ~ ( in @ ( sk__10 @ X0 @ sk__9 ) @ sk__7 )
      | ~ ( in @ ( sk__10 @ X0 @ sk__9 ) @ sk__8 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl7]) ).

thf(zip_derived_cl8,plain,
    in @ sk__8 @ ( powerset @ sk__7 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl9,plain,
    ! [X4: $i,X5: $i,X6: $i] :
      ( ~ ( in @ X4 @ ( powerset @ X5 ) )
      | ( in @ X6 @ X5 )
      | ~ ( in @ X6 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl29,plain,
    ! [X0: $i] :
      ( ~ ( in @ X0 @ sk__8 )
      | ( in @ X0 @ sk__7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl9]) ).

thf(zip_derived_cl247,plain,
    ! [X0: $i] :
      ( ~ ( in @ ( sk__10 @ X0 @ sk__9 ) @ sk__8 )
      | ( sk__9 = X0 )
      | ~ ( in @ ( sk__11 @ X0 @ sk__9 ) @ X0 ) ),
    inference(clc,[status(thm)],[zip_derived_cl60,zip_derived_cl29]) ).

thf(zip_derived_cl5,plain,
    ! [X2: $i] :
      ( ~ ( in @ X2 @ sk__9 )
      | ( in @ X2 @ sk__8 )
      | ~ ( in @ X2 @ sk__7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ ( sk__10 @ X0 @ X1 ) @ X0 )
      | ( X1 = X0 )
      | ( in @ ( sk__11 @ X0 @ X1 ) @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i] :
      ( ~ ( in @ ( sk__11 @ X0 @ sk__9 ) @ sk__7 )
      | ( in @ ( sk__11 @ X0 @ sk__9 ) @ sk__8 )
      | ( sk__9 = X0 )
      | ( in @ ( sk__10 @ X0 @ sk__9 ) @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl5,zip_derived_cl2]) ).

thf(zip_derived_cl4,plain,
    in @ sk__9 @ ( powerset @ sk__7 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl9_001,plain,
    ! [X4: $i,X5: $i,X6: $i] :
      ( ~ ( in @ X4 @ ( powerset @ X5 ) )
      | ( in @ X6 @ X5 )
      | ~ ( in @ X6 @ X4 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i] :
      ( ~ ( in @ X0 @ sk__9 )
      | ( in @ X0 @ sk__7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl9]) ).

thf(zip_derived_cl2_002,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ ( sk__10 @ X0 @ X1 ) @ X0 )
      | ( X1 = X0 )
      | ( in @ ( sk__11 @ X0 @ X1 ) @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl36,plain,
    ! [X0: $i] :
      ( ( in @ ( sk__11 @ X0 @ sk__9 ) @ sk__7 )
      | ( sk__9 = X0 )
      | ( in @ ( sk__10 @ X0 @ sk__9 ) @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl28,zip_derived_cl2]) ).

thf(zip_derived_cl117,plain,
    ! [X0: $i] :
      ( ( in @ ( sk__10 @ X0 @ sk__9 ) @ X0 )
      | ( sk__9 = X0 )
      | ( in @ ( sk__11 @ X0 @ sk__9 ) @ sk__8 ) ),
    inference(clc,[status(thm)],[zip_derived_cl10,zip_derived_cl36]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i] :
      ( ( in @ ( sk__10 @ X0 @ X1 ) @ X0 )
      | ( X1 = X0 )
      | ~ ( in @ ( sk__11 @ X0 @ X1 ) @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl119,plain,
    ( ( sk__9 = sk__8 )
    | ( in @ ( sk__10 @ sk__8 @ sk__9 ) @ sk__8 )
    | ( sk__9 = sk__8 )
    | ( in @ ( sk__10 @ sk__8 @ sk__9 ) @ sk__8 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl117,zip_derived_cl3]) ).

thf(zip_derived_cl138,plain,
    ( ( in @ ( sk__10 @ sk__8 @ sk__9 ) @ sk__8 )
    | ( sk__9 = sk__8 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl119]) ).

thf(zip_derived_cl6,plain,
    sk__8 != sk__9,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl139,plain,
    in @ ( sk__10 @ sk__8 @ sk__9 ) @ sk__8,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl138,zip_derived_cl6]) ).

thf(zip_derived_cl7_003,plain,
    ! [X3: $i] :
      ( ~ ( in @ X3 @ sk__8 )
      | ( in @ X3 @ sk__9 )
      | ~ ( in @ X3 @ sk__7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( in @ ( sk__10 @ X0 @ X1 ) @ X1 )
      | ( X1 = X0 )
      | ( in @ ( sk__11 @ X0 @ X1 ) @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl56,plain,
    ! [X0: $i] :
      ( ~ ( in @ ( sk__10 @ X0 @ sk__9 ) @ sk__7 )
      | ~ ( in @ ( sk__10 @ X0 @ sk__9 ) @ sk__8 )
      | ( in @ ( sk__11 @ X0 @ sk__9 ) @ sk__9 )
      | ( sk__9 = X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl0]) ).

thf(zip_derived_cl29_004,plain,
    ! [X0: $i] :
      ( ~ ( in @ X0 @ sk__8 )
      | ( in @ X0 @ sk__7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl9]) ).

thf(zip_derived_cl305,plain,
    ! [X0: $i] :
      ( ( sk__9 = X0 )
      | ( in @ ( sk__11 @ X0 @ sk__9 ) @ sk__9 )
      | ~ ( in @ ( sk__10 @ X0 @ sk__9 ) @ sk__8 ) ),
    inference(clc,[status(thm)],[zip_derived_cl56,zip_derived_cl29]) ).

thf(zip_derived_cl306,plain,
    ( ( in @ ( sk__11 @ sk__8 @ sk__9 ) @ sk__9 )
    | ( sk__9 = sk__8 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl139,zip_derived_cl305]) ).

thf(zip_derived_cl6_005,plain,
    sk__8 != sk__9,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl308,plain,
    in @ ( sk__11 @ sk__8 @ sk__9 ) @ sk__9,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl306,zip_derived_cl6]) ).

thf(zip_derived_cl5_006,plain,
    ! [X2: $i] :
      ( ~ ( in @ X2 @ sk__9 )
      | ( in @ X2 @ sk__8 )
      | ~ ( in @ X2 @ sk__7 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl311,plain,
    ( ~ ( in @ ( sk__11 @ sk__8 @ sk__9 ) @ sk__7 )
    | ( in @ ( sk__11 @ sk__8 @ sk__9 ) @ sk__8 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl308,zip_derived_cl5]) ).

thf(zip_derived_cl308_007,plain,
    in @ ( sk__11 @ sk__8 @ sk__9 ) @ sk__9,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl306,zip_derived_cl6]) ).

thf(zip_derived_cl28_008,plain,
    ! [X0: $i] :
      ( ~ ( in @ X0 @ sk__9 )
      | ( in @ X0 @ sk__7 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl9]) ).

thf(zip_derived_cl310,plain,
    in @ ( sk__11 @ sk__8 @ sk__9 ) @ sk__7,
    inference('sup-',[status(thm)],[zip_derived_cl308,zip_derived_cl28]) ).

thf(zip_derived_cl318,plain,
    in @ ( sk__11 @ sk__8 @ sk__9 ) @ sk__8,
    inference(demod,[status(thm)],[zip_derived_cl311,zip_derived_cl310]) ).

thf(zip_derived_cl323,plain,
    ( ( sk__9 = sk__8 )
    | ~ ( in @ ( sk__10 @ sk__8 @ sk__9 ) @ sk__8 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl247,zip_derived_cl318]) ).

thf(zip_derived_cl139_009,plain,
    in @ ( sk__10 @ sk__8 @ sk__9 ) @ sk__8,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl138,zip_derived_cl6]) ).

thf(zip_derived_cl333,plain,
    sk__9 = sk__8,
    inference(demod,[status(thm)],[zip_derived_cl323,zip_derived_cl139]) ).

thf(zip_derived_cl6_010,plain,
    sk__8 != sk__9,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl334,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl333,zip_derived_cl6]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU715^2 : 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.NsyWt5Z3Ja true
% 0.14/0.34  % Computer : n022.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Wed Oct  1 16:02:38 EDT 2025
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % 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
% 0.14/0.35  % Running in HO mode
% 0.58/0.69  % Total configuration time : 828
% 0.58/0.69  % Estimated wc time : 1656
% 0.58/0.69  % Estimated cpu time (8 cpus) : 207.0
% 0.58/0.72  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.58/0.74  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.58/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.58/0.76  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.58/0.76  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.59/0.76  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.59/0.77  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.59/0.77  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.59/0.81  % Solved by lams/40_c.s.sh.
% 0.59/0.81  % done 74 iterations in 0.062s
% 0.59/0.81  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.59/0.81  % SZS output start Refutation
% See solution above
% 0.59/0.81  
% 0.59/0.81  
% 0.59/0.81  % Terminating...
% 0.63/0.88  % Runner terminated.
% 0.63/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------