TSTP Solution File: SEU656^2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU656^2 : TPTP v8.1.2. Released v3.7.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UlZ1k8Y2xv true

% Computer : n027.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 Aug 31 19:15:36 EDT 2023

% Result   : Theorem 69.03s 9.47s
% Output   : Refutation 69.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   50
% Syntax   : Number of formulae    :   90 (  49 unt;  23 typ;   0 def)
%            Number of atoms       :  212 ( 102 equ;   0 cnn)
%            Maximal formula atoms :   16 (   3 avg)
%            Number of connectives : 1623 (  37   ~;  34   |;  21   &;1500   @)
%                                         (   0 <=>;  31  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   33 (  33   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   25 (  23 usr;   9 con; 0-2 aty)
%            Number of variables   :  218 (  52   ^; 145   !;  21   ?; 218   :)

% Comments : 
%------------------------------------------------------------------------------
thf(theprop_type,type,
    theprop: $o ).

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

thf(sk__18_type,type,
    sk__18: $i > $i ).

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

thf('#l_lift1829_type',type,
    '#l_lift1829': $o > $i > $o ).

thf('#l_lift1828_type',type,
    '#l_lift1828': $i > $i > $o ).

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

thf(setadjoin_type,type,
    setadjoin: $i > $i > $i ).

thf(sk__15_type,type,
    sk__15: $i > $i > $i ).

thf('#l_lift1830_type',type,
    '#l_lift1830': $o > $i > $o ).

thf(sk__16_type,type,
    sk__16: $i ).

thf(dsetconstrER_type,type,
    dsetconstrER: $o ).

thf(setunion_type,type,
    setunion: $i > $i ).

thf(iskpair_type,type,
    iskpair: $i > $o ).

thf(setukpairinjR_type,type,
    setukpairinjR: $o ).

thf(sk__17_type,type,
    sk__17: $i ).

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

thf(ksnd_type,type,
    ksnd: $i > $i ).

thf(singleton_type,type,
    singleton: $i > $o ).

thf(kfst_type,type,
    kfst: $i > $i ).

thf(kpairp_type,type,
    kpairp: $o ).

thf(kpair_type,type,
    kpair: $i > $i > $i ).

thf(ksndsingleton_type,type,
    ksndsingleton: $o ).

thf(ksnd,axiom,
    ( ksnd
    = ( ^ [Xu: $i] :
          ( setunion
          @ ( dsetconstr @ ( setunion @ Xu )
            @ ^ [Xx: $i] :
                ( Xu
                = ( kpair @ ( kfst @ Xu ) @ Xx ) ) ) ) ) ) ).

thf(kpair,axiom,
    ( kpair
    = ( ^ [Xx: $i,Xy: $i] : ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) ) ) ).

thf('0',plain,
    ( kpair
    = ( ^ [Xx: $i,Xy: $i] : ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[kpair]) ).

thf('1',plain,
    ( kpair
    = ( ^ [V_1: $i,V_2: $i] : ( setadjoin @ ( setadjoin @ V_1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ V_1 @ ( setadjoin @ V_2 @ emptyset ) ) @ emptyset ) ) ) ),
    define([status(thm)]) ).

thf('2',plain,
    ( ksnd
    = ( ^ [Xu: $i] :
          ( setunion
          @ ( dsetconstr @ ( setunion @ Xu )
            @ ^ [Xx: $i] :
                ( Xu
                = ( kpair @ ( kfst @ Xu ) @ Xx ) ) ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[ksnd,'1']) ).

thf('3',plain,
    ( ksnd
    = ( ^ [V_1: $i] :
          ( setunion
          @ ( dsetconstr @ ( setunion @ V_1 )
            @ ^ [V_2: $i] :
                ( V_1
                = ( kpair @ ( kfst @ V_1 ) @ V_2 ) ) ) ) ) ),
    define([status(thm)]) ).

thf(ksndsingleton,axiom,
    ( ksndsingleton
    = ( ! [Xu: $i] :
          ( ( iskpair @ Xu )
         => ( singleton
            @ ( dsetconstr @ ( setunion @ Xu )
              @ ^ [Xx: $i] :
                  ( Xu
                  = ( kpair @ ( kfst @ Xu ) @ Xx ) ) ) ) ) ) ) ).

thf('4',plain,
    ( ksndsingleton
    = ( ! [X4: $i] :
          ( ( iskpair @ X4 )
         => ( singleton
            @ ( dsetconstr @ ( setunion @ X4 )
              @ ^ [V_1: $i] :
                  ( X4
                  = ( kpair @ ( kfst @ X4 ) @ V_1 ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(setukpairinjR,axiom,
    ( setukpairinjR
    = ( ! [Xx: $i,Xy: $i,Xz: $i,Xu: $i] :
          ( ( ( kpair @ Xx @ Xy )
            = ( kpair @ Xz @ Xu ) )
         => ( Xy = Xu ) ) ) ) ).

thf('5',plain,
    ( setukpairinjR
    = ( ! [X4: $i,X6: $i,X8: $i,X10: $i] :
          ( ( ( kpair @ X4 @ X6 )
            = ( kpair @ X8 @ X10 ) )
         => ( X6 = X10 ) ) ) ),
    define([status(thm)]) ).

thf(theprop,axiom,
    ( theprop
    = ( ! [X: $i] :
          ( ( singleton @ X )
         => ( in @ ( setunion @ X ) @ X ) ) ) ) ).

thf('6',plain,
    ( theprop
    = ( ! [X4: $i] :
          ( ( singleton @ X4 )
         => ( in @ ( setunion @ X4 ) @ X4 ) ) ) ),
    define([status(thm)]) ).

thf(singleton,axiom,
    ( singleton
    = ( ^ [A: $i] :
        ? [Xx: $i] :
          ( ( A
            = ( setadjoin @ Xx @ emptyset ) )
          & ( in @ Xx @ A ) ) ) ) ).

thf('7',plain,
    ( singleton
    = ( ^ [A: $i] :
        ? [Xx: $i] :
          ( ( A
            = ( setadjoin @ Xx @ emptyset ) )
          & ( in @ Xx @ A ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[singleton]) ).

thf('8',plain,
    ( singleton
    = ( ^ [V_1: $i] :
        ? [X4: $i] :
          ( ( V_1
            = ( setadjoin @ X4 @ emptyset ) )
          & ( in @ X4 @ V_1 ) ) ) ),
    define([status(thm)]) ).

thf(kpairp,axiom,
    ( kpairp
    = ( ! [Xx: $i,Xy: $i] : ( iskpair @ ( kpair @ Xx @ Xy ) ) ) ) ).

thf('9',plain,
    ( kpairp
    = ( ! [X4: $i,X6: $i] : ( iskpair @ ( kpair @ X4 @ X6 ) ) ) ),
    define([status(thm)]) ).

thf(iskpair,axiom,
    ( iskpair
    = ( ^ [A: $i] :
        ? [Xx: $i] :
          ( ? [Xy: $i] :
              ( ( A
                = ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) )
              & ( in @ Xy @ ( setunion @ A ) ) )
          & ( in @ Xx @ ( setunion @ A ) ) ) ) ) ).

thf('10',plain,
    ( iskpair
    = ( ^ [A: $i] :
        ? [Xx: $i] :
          ( ? [Xy: $i] :
              ( ( A
                = ( setadjoin @ ( setadjoin @ Xx @ emptyset ) @ ( setadjoin @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) )
              & ( in @ Xy @ ( setunion @ A ) ) )
          & ( in @ Xx @ ( setunion @ A ) ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[iskpair]) ).

thf('11',plain,
    ( iskpair
    = ( ^ [V_1: $i] :
        ? [X4: $i] :
          ( ? [X6: $i] :
              ( ( V_1
                = ( setadjoin @ ( setadjoin @ X4 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) @ emptyset ) ) )
              & ( in @ X6 @ ( setunion @ V_1 ) ) )
          & ( in @ X4 @ ( setunion @ V_1 ) ) ) ) ),
    define([status(thm)]) ).

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

thf('12',plain,
    ( dsetconstrER
    = ( ! [X4: $i,X6: $i > $o,X8: $i] :
          ( ( in @ X8
            @ ( dsetconstr @ X4
              @ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
         => ( X6 @ X8 ) ) ) ),
    define([status(thm)]) ).

thf(ksndpairEq,conjecture,
    ( dsetconstrER
   => ( kpairp
     => ( theprop
       => ( setukpairinjR
         => ( ksndsingleton
           => ! [Xx: $i,Xy: $i] :
                ( ( ksnd @ ( kpair @ Xx @ Xy ) )
                = Xy ) ) ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ! [X4: $i,X6: $i > $o,X8: $i] :
        ( ( in @ X8
          @ ( dsetconstr @ X4
            @ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
       => ( X6 @ X8 ) )
   => ( ! [X10: $i,X12: $i] :
        ? [X14: $i] :
          ( ? [X16: $i] :
              ( ( ( setadjoin @ ( setadjoin @ X10 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X10 @ ( setadjoin @ X12 @ emptyset ) ) @ emptyset ) )
                = ( setadjoin @ ( setadjoin @ X14 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X14 @ ( setadjoin @ X16 @ emptyset ) ) @ emptyset ) ) )
              & ( in @ X16 @ ( setunion @ ( setadjoin @ ( setadjoin @ X10 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X10 @ ( setadjoin @ X12 @ emptyset ) ) @ emptyset ) ) ) ) )
          & ( in @ X14 @ ( setunion @ ( setadjoin @ ( setadjoin @ X10 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X10 @ ( setadjoin @ X12 @ emptyset ) ) @ emptyset ) ) ) ) )
     => ( ! [X18: $i] :
            ( ? [X20: $i] :
                ( ( X18
                  = ( setadjoin @ X20 @ emptyset ) )
                & ( in @ X20 @ X18 ) )
           => ( in @ ( setunion @ X18 ) @ X18 ) )
       => ( ! [X22: $i,X24: $i,X26: $i,X28: $i] :
              ( ( ( setadjoin @ ( setadjoin @ X22 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X22 @ ( setadjoin @ X24 @ emptyset ) ) @ emptyset ) )
                = ( setadjoin @ ( setadjoin @ X26 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X26 @ ( setadjoin @ X28 @ emptyset ) ) @ emptyset ) ) )
             => ( X24 = X28 ) )
         => ( ! [X30: $i] :
                ( ? [X32: $i] :
                    ( ? [X34: $i] :
                        ( ( X30
                          = ( setadjoin @ ( setadjoin @ X32 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X32 @ ( setadjoin @ X34 @ emptyset ) ) @ emptyset ) ) )
                        & ( in @ X34 @ ( setunion @ X30 ) ) )
                    & ( in @ X32 @ ( setunion @ X30 ) ) )
               => ? [X36: $i] :
                    ( ( ( dsetconstr @ ( setunion @ X30 )
                        @ ^ [V_2: $i] :
                            ( X30
                            = ( setadjoin @ ( setadjoin @ ( kfst @ X30 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( kfst @ X30 ) @ ( setadjoin @ V_2 @ emptyset ) ) @ emptyset ) ) ) )
                      = ( setadjoin @ X36 @ emptyset ) )
                    & ( in @ X36
                      @ ( dsetconstr @ ( setunion @ X30 )
                        @ ^ [V_3: $i] :
                            ( X30
                            = ( setadjoin @ ( setadjoin @ ( kfst @ X30 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( kfst @ X30 ) @ ( setadjoin @ V_3 @ emptyset ) ) @ emptyset ) ) ) ) ) ) )
           => ! [X38: $i,X40: $i] :
                ( ( setunion
                  @ ( dsetconstr @ ( setunion @ ( setadjoin @ ( setadjoin @ X38 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X38 @ ( setadjoin @ X40 @ emptyset ) ) @ emptyset ) ) )
                    @ ^ [V_4: $i] :
                        ( ( setadjoin @ ( setadjoin @ X38 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X38 @ ( setadjoin @ X40 @ emptyset ) ) @ emptyset ) )
                        = ( setadjoin @ ( setadjoin @ ( kfst @ ( setadjoin @ ( setadjoin @ X38 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X38 @ ( setadjoin @ X40 @ emptyset ) ) @ emptyset ) ) ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( kfst @ ( setadjoin @ ( setadjoin @ X38 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X38 @ ( setadjoin @ X40 @ emptyset ) ) @ emptyset ) ) ) @ ( setadjoin @ V_4 @ emptyset ) ) @ emptyset ) ) ) ) )
                = X40 ) ) ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( ! [X4: $i,X6: $i > $o,X8: $i] :
          ( ( in @ X8
            @ ( dsetconstr @ X4
              @ ^ [V_1: $i] : ( X6 @ V_1 ) ) )
         => ( X6 @ X8 ) )
     => ( ! [X10: $i,X12: $i] :
          ? [X14: $i] :
            ( ? [X16: $i] :
                ( ( ( setadjoin @ ( setadjoin @ X10 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X10 @ ( setadjoin @ X12 @ emptyset ) ) @ emptyset ) )
                  = ( setadjoin @ ( setadjoin @ X14 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X14 @ ( setadjoin @ X16 @ emptyset ) ) @ emptyset ) ) )
                & ( in @ X16 @ ( setunion @ ( setadjoin @ ( setadjoin @ X10 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X10 @ ( setadjoin @ X12 @ emptyset ) ) @ emptyset ) ) ) ) )
            & ( in @ X14 @ ( setunion @ ( setadjoin @ ( setadjoin @ X10 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X10 @ ( setadjoin @ X12 @ emptyset ) ) @ emptyset ) ) ) ) )
       => ( ! [X18: $i] :
              ( ? [X20: $i] :
                  ( ( X18
                    = ( setadjoin @ X20 @ emptyset ) )
                  & ( in @ X20 @ X18 ) )
             => ( in @ ( setunion @ X18 ) @ X18 ) )
         => ( ! [X22: $i,X24: $i,X26: $i,X28: $i] :
                ( ( ( setadjoin @ ( setadjoin @ X22 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X22 @ ( setadjoin @ X24 @ emptyset ) ) @ emptyset ) )
                  = ( setadjoin @ ( setadjoin @ X26 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X26 @ ( setadjoin @ X28 @ emptyset ) ) @ emptyset ) ) )
               => ( X24 = X28 ) )
           => ( ! [X30: $i] :
                  ( ? [X32: $i] :
                      ( ? [X34: $i] :
                          ( ( X30
                            = ( setadjoin @ ( setadjoin @ X32 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X32 @ ( setadjoin @ X34 @ emptyset ) ) @ emptyset ) ) )
                          & ( in @ X34 @ ( setunion @ X30 ) ) )
                      & ( in @ X32 @ ( setunion @ X30 ) ) )
                 => ? [X36: $i] :
                      ( ( ( dsetconstr @ ( setunion @ X30 )
                          @ ^ [V_2: $i] :
                              ( X30
                              = ( setadjoin @ ( setadjoin @ ( kfst @ X30 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( kfst @ X30 ) @ ( setadjoin @ V_2 @ emptyset ) ) @ emptyset ) ) ) )
                        = ( setadjoin @ X36 @ emptyset ) )
                      & ( in @ X36
                        @ ( dsetconstr @ ( setunion @ X30 )
                          @ ^ [V_3: $i] :
                              ( X30
                              = ( setadjoin @ ( setadjoin @ ( kfst @ X30 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( kfst @ X30 ) @ ( setadjoin @ V_3 @ emptyset ) ) @ emptyset ) ) ) ) ) ) )
             => ! [X38: $i,X40: $i] :
                  ( ( setunion
                    @ ( dsetconstr @ ( setunion @ ( setadjoin @ ( setadjoin @ X38 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X38 @ ( setadjoin @ X40 @ emptyset ) ) @ emptyset ) ) )
                      @ ^ [V_4: $i] :
                          ( ( setadjoin @ ( setadjoin @ X38 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X38 @ ( setadjoin @ X40 @ emptyset ) ) @ emptyset ) )
                          = ( setadjoin @ ( setadjoin @ ( kfst @ ( setadjoin @ ( setadjoin @ X38 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X38 @ ( setadjoin @ X40 @ emptyset ) ) @ emptyset ) ) ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( kfst @ ( setadjoin @ ( setadjoin @ X38 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X38 @ ( setadjoin @ X40 @ emptyset ) ) @ emptyset ) ) ) @ ( setadjoin @ V_4 @ emptyset ) ) @ emptyset ) ) ) ) )
                  = X40 ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
    ( ( setunion
      @ ( dsetconstr @ ( setunion @ ( setadjoin @ ( setadjoin @ sk__16 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk__16 @ ( setadjoin @ sk__17 @ emptyset ) ) @ emptyset ) ) )
        @ ^ [Y0: $i] :
            ( ( setadjoin @ ( setadjoin @ sk__16 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk__16 @ ( setadjoin @ sk__17 @ emptyset ) ) @ emptyset ) )
            = ( setadjoin @ ( setadjoin @ ( kfst @ ( setadjoin @ ( setadjoin @ sk__16 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk__16 @ ( setadjoin @ sk__17 @ emptyset ) ) @ emptyset ) ) ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( kfst @ ( setadjoin @ ( setadjoin @ sk__16 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk__16 @ ( setadjoin @ sk__17 @ emptyset ) ) @ emptyset ) ) ) @ ( setadjoin @ Y0 @ emptyset ) ) @ emptyset ) ) ) ) )
   != sk__17 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl7,plain,
    ! [X12: $i,X13: $i] :
      ( ( setadjoin @ ( setadjoin @ X13 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X13 @ ( setadjoin @ X12 @ emptyset ) ) @ emptyset ) )
      = ( setadjoin @ ( setadjoin @ ( sk__14 @ X12 @ X13 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( sk__14 @ X12 @ X13 ) @ ( setadjoin @ ( sk__15 @ X12 @ X13 ) @ emptyset ) ) @ emptyset ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl2,plain,
    ! [X5: $i,X6: $i,X7: $i] :
      ( ( ( dsetconstr @ ( setunion @ X5 )
          @ ^ [Y0: $i] :
              ( X5
              = ( setadjoin @ ( setadjoin @ ( kfst @ X5 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( kfst @ X5 ) @ ( setadjoin @ Y0 @ emptyset ) ) @ emptyset ) ) ) )
        = ( setadjoin @ ( sk__18 @ X5 ) @ emptyset ) )
      | ~ ( in @ X6 @ ( setunion @ X5 ) )
      | ( X5
       != ( setadjoin @ ( setadjoin @ X6 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X6 @ ( setadjoin @ X7 @ emptyset ) ) @ emptyset ) ) )
      | ~ ( in @ X7 @ ( setunion @ X5 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl65,plain,
    ! [X6: $i,X7: $i] :
      ( ~ ( in @ X7 @ ( setunion @ ( setadjoin @ ( setadjoin @ X6 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X6 @ ( setadjoin @ X7 @ emptyset ) ) @ emptyset ) ) ) )
      | ~ ( in @ X6 @ ( setunion @ ( setadjoin @ ( setadjoin @ X6 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X6 @ ( setadjoin @ X7 @ emptyset ) ) @ emptyset ) ) ) )
      | ( ( dsetconstr @ ( setunion @ ( setadjoin @ ( setadjoin @ X6 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X6 @ ( setadjoin @ X7 @ emptyset ) ) @ emptyset ) ) )
          @ ^ [Y0: $i] :
              ( ( setadjoin @ ( setadjoin @ X6 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X6 @ ( setadjoin @ X7 @ emptyset ) ) @ emptyset ) )
              = ( setadjoin @ ( setadjoin @ ( kfst @ ( setadjoin @ ( setadjoin @ X6 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X6 @ ( setadjoin @ X7 @ emptyset ) ) @ emptyset ) ) ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( kfst @ ( setadjoin @ ( setadjoin @ X6 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X6 @ ( setadjoin @ X7 @ emptyset ) ) @ emptyset ) ) ) @ ( setadjoin @ Y0 @ emptyset ) ) @ emptyset ) ) ) )
        = ( setadjoin @ ( sk__18 @ ( setadjoin @ ( setadjoin @ X6 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X6 @ ( setadjoin @ X7 @ emptyset ) ) @ emptyset ) ) ) @ emptyset ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl88,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( dsetconstr @ ( setunion @ ( setadjoin @ ( setadjoin @ ( sk__14 @ X0 @ X1 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( sk__14 @ X0 @ X1 ) @ ( setadjoin @ ( sk__15 @ X0 @ X1 ) @ emptyset ) ) @ emptyset ) ) )
          @ ^ [Y0: $i] :
              ( ( setadjoin @ ( setadjoin @ ( sk__14 @ X0 @ X1 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( sk__14 @ X0 @ X1 ) @ ( setadjoin @ ( sk__15 @ X0 @ X1 ) @ emptyset ) ) @ emptyset ) )
              = ( setadjoin @ ( setadjoin @ ( kfst @ ( setadjoin @ ( setadjoin @ ( sk__14 @ X0 @ X1 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( sk__14 @ X0 @ X1 ) @ ( setadjoin @ ( sk__15 @ X0 @ X1 ) @ emptyset ) ) @ emptyset ) ) ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( kfst @ ( setadjoin @ ( setadjoin @ ( sk__14 @ X0 @ X1 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( sk__14 @ X0 @ X1 ) @ ( setadjoin @ ( sk__15 @ X0 @ X1 ) @ emptyset ) ) @ emptyset ) ) ) @ ( setadjoin @ Y0 @ emptyset ) ) @ emptyset ) ) ) )
        = ( setadjoin @ ( sk__18 @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) ) ) @ emptyset ) )
      | ~ ( in @ ( sk__14 @ X0 @ X1 ) @ ( setunion @ ( setadjoin @ ( setadjoin @ ( sk__14 @ X0 @ X1 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( sk__14 @ X0 @ X1 ) @ ( setadjoin @ ( sk__15 @ X0 @ X1 ) @ emptyset ) ) @ emptyset ) ) ) )
      | ~ ( in @ ( sk__15 @ X0 @ X1 ) @ ( setunion @ ( setadjoin @ ( setadjoin @ ( sk__14 @ X0 @ X1 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( sk__14 @ X0 @ X1 ) @ ( setadjoin @ ( sk__15 @ X0 @ X1 ) @ emptyset ) ) @ emptyset ) ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl7,zip_derived_cl65]) ).

thf(zip_derived_cl7_001,plain,
    ! [X12: $i,X13: $i] :
      ( ( setadjoin @ ( setadjoin @ X13 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X13 @ ( setadjoin @ X12 @ emptyset ) ) @ emptyset ) )
      = ( setadjoin @ ( setadjoin @ ( sk__14 @ X12 @ X13 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( sk__14 @ X12 @ X13 ) @ ( setadjoin @ ( sk__15 @ X12 @ X13 ) @ emptyset ) ) @ emptyset ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl7_002,plain,
    ! [X12: $i,X13: $i] :
      ( ( setadjoin @ ( setadjoin @ X13 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X13 @ ( setadjoin @ X12 @ emptyset ) ) @ emptyset ) )
      = ( setadjoin @ ( setadjoin @ ( sk__14 @ X12 @ X13 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( sk__14 @ X12 @ X13 ) @ ( setadjoin @ ( sk__15 @ X12 @ X13 ) @ emptyset ) ) @ emptyset ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl7_003,plain,
    ! [X12: $i,X13: $i] :
      ( ( setadjoin @ ( setadjoin @ X13 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X13 @ ( setadjoin @ X12 @ emptyset ) ) @ emptyset ) )
      = ( setadjoin @ ( setadjoin @ ( sk__14 @ X12 @ X13 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( sk__14 @ X12 @ X13 ) @ ( setadjoin @ ( sk__15 @ X12 @ X13 ) @ emptyset ) ) @ emptyset ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl7_004,plain,
    ! [X12: $i,X13: $i] :
      ( ( setadjoin @ ( setadjoin @ X13 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X13 @ ( setadjoin @ X12 @ emptyset ) ) @ emptyset ) )
      = ( setadjoin @ ( setadjoin @ ( sk__14 @ X12 @ X13 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( sk__14 @ X12 @ X13 ) @ ( setadjoin @ ( sk__15 @ X12 @ X13 ) @ emptyset ) ) @ emptyset ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl7_005,plain,
    ! [X12: $i,X13: $i] :
      ( ( setadjoin @ ( setadjoin @ X13 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X13 @ ( setadjoin @ X12 @ emptyset ) ) @ emptyset ) )
      = ( setadjoin @ ( setadjoin @ ( sk__14 @ X12 @ X13 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( sk__14 @ X12 @ X13 ) @ ( setadjoin @ ( sk__15 @ X12 @ X13 ) @ emptyset ) ) @ emptyset ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl8,plain,
    ! [X12: $i,X13: $i] : ( in @ ( sk__14 @ X12 @ X13 ) @ ( setunion @ ( setadjoin @ ( setadjoin @ X13 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X13 @ ( setadjoin @ X12 @ emptyset ) ) @ emptyset ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl7_006,plain,
    ! [X12: $i,X13: $i] :
      ( ( setadjoin @ ( setadjoin @ X13 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X13 @ ( setadjoin @ X12 @ emptyset ) ) @ emptyset ) )
      = ( setadjoin @ ( setadjoin @ ( sk__14 @ X12 @ X13 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( sk__14 @ X12 @ X13 ) @ ( setadjoin @ ( sk__15 @ X12 @ X13 ) @ emptyset ) ) @ emptyset ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl6,plain,
    ! [X12: $i,X13: $i] : ( in @ ( sk__15 @ X12 @ X13 ) @ ( setunion @ ( setadjoin @ ( setadjoin @ X13 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X13 @ ( setadjoin @ X12 @ emptyset ) ) @ emptyset ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl138,plain,
    ! [X0: $i,X1: $i] :
      ( ( dsetconstr @ ( setunion @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) ) )
        @ ^ [Y0: $i] :
            ( ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) )
            = ( setadjoin @ ( setadjoin @ ( kfst @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) ) ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( kfst @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) ) ) @ ( setadjoin @ Y0 @ emptyset ) ) @ emptyset ) ) ) )
      = ( setadjoin @ ( sk__18 @ ( setadjoin @ ( setadjoin @ X1 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X1 @ ( setadjoin @ X0 @ emptyset ) ) @ emptyset ) ) ) @ emptyset ) ),
    inference(demod,[status(thm)],[zip_derived_cl88,zip_derived_cl7,zip_derived_cl7,zip_derived_cl7,zip_derived_cl7,zip_derived_cl7,zip_derived_cl8,zip_derived_cl7,zip_derived_cl6]) ).

thf(zip_derived_cl2345,plain,
    ( ( setunion @ ( setadjoin @ ( sk__18 @ ( setadjoin @ ( setadjoin @ sk__16 @ emptyset ) @ ( setadjoin @ ( setadjoin @ sk__16 @ ( setadjoin @ sk__17 @ emptyset ) ) @ emptyset ) ) ) @ emptyset ) )
   != sk__17 ),
    inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl138]) ).

thf(zip_derived_cl1,plain,
    ! [X3: $i,X4: $i] :
      ( ( in @ ( setunion @ X3 ) @ X3 )
      | ~ ( in @ X4 @ X3 )
      | ( X3
       != ( setadjoin @ X4 @ emptyset ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

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

thf(zip_derived_cl26,plain,
    ! [X0: $i > $o,X1: $i,X2: $i] :
      ( ( X0 @ X1 )
      | ~ ( in @ X1 @ ( dsetconstr @ X2 @ X0 ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl26_007,plain,
    ! [X0: $i > $o,X1: $i,X2: $i] :
      ( ( X0 @ X1 )
      | ~ ( in @ X1 @ ( dsetconstr @ X2 @ X0 ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl38,plain,
    ! [X0: $o,X1: $i,X2: $i] :
      ( ( ^ [Y0: $i] : X0
        @ X1 )
      | ~ ( in @ X1
          @ ( dsetconstr @ X2
            @ ^ [Y0: $i] :
                ( in
                @ ( ^ [Y1: $i] : Y1
                  @ Y0 )
                @ ( ^ [Y1: $i] :
                      ( dsetconstr
                      @ ( ^ [Y2: $i] : Y2
                        @ Y1 )
                      @ ( ^ [Y2: $i,Y3: $i] : X0
                        @ Y1 ) )
                  @ Y0 ) ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl26,zip_derived_cl26]) ).

thf(zip_derived_cl46,plain,
    ! [X0: $o,X1: $i,X2: $i] :
      ( X0
      | ~ ( in @ X1
          @ ( dsetconstr @ X2
            @ ^ [Y0: $i] :
                ( in @ Y0
                @ ( dsetconstr @ Y0
                  @ ^ [Y1: $i] : X0 ) ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl38]) ).

thf(zip_derived_cl6223,plain,
    ! [X0: $o,X3: $i] :
      ( ( '#l_lift1829' @ X0 @ X3 )
      = X0 ),
    define([status(thm)]) ).

thf(zip_derived_cl2_008,plain,
    ! [X5: $i,X6: $i,X7: $i] :
      ( ( ( dsetconstr @ ( setunion @ X5 )
          @ ^ [Y0: $i] :
              ( X5
              = ( setadjoin @ ( setadjoin @ ( kfst @ X5 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( kfst @ X5 ) @ ( setadjoin @ Y0 @ emptyset ) ) @ emptyset ) ) ) )
        = ( setadjoin @ ( sk__18 @ X5 ) @ emptyset ) )
      | ~ ( in @ X6 @ ( setunion @ X5 ) )
      | ( X5
       != ( setadjoin @ ( setadjoin @ X6 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X6 @ ( setadjoin @ X7 @ emptyset ) ) @ emptyset ) ) )
      | ~ ( in @ X7 @ ( setunion @ X5 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl2_009,plain,
    ! [X5: $i,X6: $i,X7: $i] :
      ( ( ( dsetconstr @ ( setunion @ X5 )
          @ ^ [Y0: $i] :
              ( X5
              = ( setadjoin @ ( setadjoin @ ( kfst @ X5 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( kfst @ X5 ) @ ( setadjoin @ Y0 @ emptyset ) ) @ emptyset ) ) ) )
        = ( setadjoin @ ( sk__18 @ X5 ) @ emptyset ) )
      | ~ ( in @ X6 @ ( setunion @ X5 ) )
      | ( X5
       != ( setadjoin @ ( setadjoin @ X6 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X6 @ ( setadjoin @ X7 @ emptyset ) ) @ emptyset ) ) )
      | ~ ( in @ X7 @ ( setunion @ X5 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl6219,plain,
    ! [X5: $i,X8: $i] :
      ( ( '#l_lift1828' @ X5 @ X8 )
      = ( X5
        = ( setadjoin @ ( setadjoin @ ( kfst @ X5 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( kfst @ X5 ) @ ( setadjoin @ X8 @ emptyset ) ) @ emptyset ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl6220,plain,
    ! [X5: $i,X6: $i,X7: $i] :
      ( ( ( dsetconstr @ ( setunion @ X5 ) @ ( '#l_lift1828' @ X5 ) )
        = ( setadjoin @ ( sk__18 @ X5 ) @ emptyset ) )
      | ~ ( in @ X6 @ ( setunion @ X5 ) )
      | ( X5
       != ( setadjoin @ ( setadjoin @ X6 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X6 @ ( setadjoin @ X7 @ emptyset ) ) @ emptyset ) ) )
      | ~ ( in @ X7 @ ( setunion @ X5 ) ) ),
    inference(lambda_lifting,[status(thm)],[zip_derived_cl2,zip_derived_cl6219]) ).

thf(zip_derived_cl46_010,plain,
    ! [X0: $o,X1: $i,X2: $i] :
      ( X0
      | ~ ( in @ X1
          @ ( dsetconstr @ X2
            @ ^ [Y0: $i] :
                ( in @ Y0
                @ ( dsetconstr @ Y0
                  @ ^ [Y1: $i] : X0 ) ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl38]) ).

thf(zip_derived_cl6224,plain,
    ! [X0: $o,X4: $i] :
      ( ( '#l_lift1830' @ X0 @ X4 )
      = ( in @ X4 @ ( dsetconstr @ X4 @ ( '#l_lift1829' @ X0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl6219_011,plain,
    ! [X5: $i,X8: $i] :
      ( ( '#l_lift1828' @ X5 @ X8 )
      = ( X5
        = ( setadjoin @ ( setadjoin @ ( kfst @ X5 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( kfst @ X5 ) @ ( setadjoin @ X8 @ emptyset ) ) @ emptyset ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl5,plain,
    ! [X8: $i,X9: $i,X10: $i,X11: $i] :
      ( ( X9 = X8 )
      | ( ( setadjoin @ ( setadjoin @ X11 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X11 @ ( setadjoin @ X9 @ emptyset ) ) @ emptyset ) )
       != ( setadjoin @ ( setadjoin @ X10 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X10 @ ( setadjoin @ X8 @ emptyset ) ) @ emptyset ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl6218,plain,
    ! [X0: $i > $o,X1: $i,X2: $i] :
      ( ( X0 @ X1 )
      | ~ ( in @ X1 @ ( dsetconstr @ X2 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl8_012,plain,
    ! [X12: $i,X13: $i] : ( in @ ( sk__14 @ X12 @ X13 ) @ ( setunion @ ( setadjoin @ ( setadjoin @ X13 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X13 @ ( setadjoin @ X12 @ emptyset ) ) @ emptyset ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl6_013,plain,
    ! [X12: $i,X13: $i] : ( in @ ( sk__15 @ X12 @ X13 ) @ ( setunion @ ( setadjoin @ ( setadjoin @ X13 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X13 @ ( setadjoin @ X12 @ emptyset ) ) @ emptyset ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl7_014,plain,
    ! [X12: $i,X13: $i] :
      ( ( setadjoin @ ( setadjoin @ X13 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X13 @ ( setadjoin @ X12 @ emptyset ) ) @ emptyset ) )
      = ( setadjoin @ ( setadjoin @ ( sk__14 @ X12 @ X13 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( sk__14 @ X12 @ X13 ) @ ( setadjoin @ ( sk__15 @ X12 @ X13 ) @ emptyset ) ) @ emptyset ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl46_015,plain,
    ! [X0: $o,X1: $i,X2: $i] :
      ( X0
      | ~ ( in @ X1
          @ ( dsetconstr @ X2
            @ ^ [Y0: $i] :
                ( in @ Y0
                @ ( dsetconstr @ Y0
                  @ ^ [Y1: $i] : X0 ) ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl38]) ).

thf(zip_derived_cl6224_016,plain,
    ! [X0: $o,X4: $i] :
      ( ( '#l_lift1830' @ X0 @ X4 )
      = ( in @ X4 @ ( dsetconstr @ X4 @ ( '#l_lift1829' @ X0 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl6223_017,plain,
    ! [X0: $o,X3: $i] :
      ( ( '#l_lift1829' @ X0 @ X3 )
      = X0 ),
    define([status(thm)]) ).

thf(zip_derived_cl6225,plain,
    ! [X0: $o,X1: $i,X2: $i] :
      ( X0
      | ~ ( in @ X1 @ ( dsetconstr @ X2 @ ( '#l_lift1830' @ X0 ) ) ) ),
    inference(lambda_lifting,[status(thm)],[zip_derived_cl46,zip_derived_cl6224,zip_derived_cl6223]) ).

thf(zip_derived_cl3,plain,
    ! [X5: $i,X6: $i,X7: $i] :
      ( ( in @ ( sk__18 @ X5 )
        @ ( dsetconstr @ ( setunion @ X5 )
          @ ^ [Y0: $i] :
              ( X5
              = ( setadjoin @ ( setadjoin @ ( kfst @ X5 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( kfst @ X5 ) @ ( setadjoin @ Y0 @ emptyset ) ) @ emptyset ) ) ) ) )
      | ~ ( in @ X6 @ ( setunion @ X5 ) )
      | ( X5
       != ( setadjoin @ ( setadjoin @ X6 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X6 @ ( setadjoin @ X7 @ emptyset ) ) @ emptyset ) ) )
      | ~ ( in @ X7 @ ( setunion @ X5 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl6219_018,plain,
    ! [X5: $i,X8: $i] :
      ( ( '#l_lift1828' @ X5 @ X8 )
      = ( X5
        = ( setadjoin @ ( setadjoin @ ( kfst @ X5 ) @ emptyset ) @ ( setadjoin @ ( setadjoin @ ( kfst @ X5 ) @ ( setadjoin @ X8 @ emptyset ) ) @ emptyset ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl6221,plain,
    ! [X5: $i,X6: $i,X7: $i] :
      ( ( in @ ( sk__18 @ X5 ) @ ( dsetconstr @ ( setunion @ X5 ) @ ( '#l_lift1828' @ X5 ) ) )
      | ~ ( in @ X6 @ ( setunion @ X5 ) )
      | ( X5
       != ( setadjoin @ ( setadjoin @ X6 @ emptyset ) @ ( setadjoin @ ( setadjoin @ X6 @ ( setadjoin @ X7 @ emptyset ) ) @ emptyset ) ) )
      | ~ ( in @ X7 @ ( setunion @ X5 ) ) ),
    inference(lambda_lifting,[status(thm)],[zip_derived_cl3,zip_derived_cl6219]) ).

thf(zip_derived_cl6228,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl2345,zip_derived_cl1,zip_derived_cl6223,zip_derived_cl6220,zip_derived_cl6224,zip_derived_cl6219,zip_derived_cl5,zip_derived_cl6218,zip_derived_cl8,zip_derived_cl6,zip_derived_cl7,zip_derived_cl6225,zip_derived_cl6221]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SEU656^2 : TPTP v8.1.2. Released v3.7.0.
% 0.00/0.10  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.UlZ1k8Y2xv true
% 0.10/0.30  % Computer : n027.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 300
% 0.10/0.30  % DateTime : Wed Aug 23 14:25:46 EDT 2023
% 0.10/0.31  % CPUTime  : 
% 0.10/0.31  % Running portfolio for 300 s
% 0.10/0.31  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.31  % Number of cores: 8
% 0.10/0.31  % Python version: Python 3.6.8
% 0.10/0.31  % Running in HO mode
% 0.16/0.58  % Total configuration time : 828
% 0.16/0.58  % Estimated wc time : 1656
% 0.16/0.58  % Estimated cpu time (8 cpus) : 207.0
% 0.16/0.66  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.16/0.66  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.16/0.66  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.16/0.67  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.16/0.67  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.16/0.67  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.16/0.67  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.16/0.71  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 69.03/9.47  % Solved by lams/40_c_ic.sh.
% 69.03/9.47  % done 241 iterations in 8.753s
% 69.03/9.47  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 69.03/9.47  % SZS output start Refutation
% See solution above
% 69.03/9.47  
% 69.03/9.47  
% 69.03/9.47  % Terminating...
% 69.33/9.57  % Runner terminated.
% 69.33/9.59  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------