TSTP Solution File: SEU815^2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU815^2 : 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.DeBwbKOZAs 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 Aug 31 19:18:19 EDT 2023

% Result   : Theorem 6.65s 1.44s
% Output   : Refutation 6.65s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :   24
% Syntax   : Number of formulae    :  101 (  27 unt;  12 typ;   0 def)
%            Number of atoms       :  463 (  11 equ;   0 cnn)
%            Maximal formula atoms :   37 (   5 avg)
%            Number of connectives : 1522 (  58   ~;  77   |;   0   &;1066   @)
%                                         (   0 <=>; 213  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   9 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  12 usr;   7 con; 0-3 aty)
%                                         ( 108  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  282 ( 111   ^; 171   !;   0   ?; 282   :)

% Comments : 
%------------------------------------------------------------------------------
thf('#sk3_type',type,
    '#sk3': $i > $i ).

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

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

thf(transitiveset_type,type,
    transitiveset: $i > $o ).

thf('#sk2_type',type,
    '#sk2': $i > $i > $i ).

thf('#sk1_type',type,
    '#sk1': $i ).

thf(setunionI_type,type,
    setunionI: $o ).

thf(setunionE_type,type,
    setunionE: $o ).

thf(transitivesetOp2_type,type,
    transitivesetOp2: $o ).

thf('#sk4_type',type,
    '#sk4': $i > $i > $o > $i ).

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

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

thf(transitivesetOp2,axiom,
    ( transitivesetOp2
    = ( ! [X: $i] :
          ( ( transitiveset @ X )
         => ! [A: $i,Xx: $i] :
              ( ( in @ A @ X )
             => ( ( in @ Xx @ A )
               => ( in @ Xx @ X ) ) ) ) ) ) ).

thf('0',plain,
    ( transitivesetOp2
    = ( ! [X4: $i] :
          ( ( transitiveset @ X4 )
         => ! [X6: $i,X8: $i] :
              ( ( in @ X6 @ X4 )
             => ( ( in @ X8 @ X6 )
               => ( in @ X8 @ X4 ) ) ) ) ) ),
    define([status(thm)]) ).

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

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

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

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

thf('3',plain,
    ( subsetI1
    = ( ! [X4: $i,X6: $i] :
          ( ! [X8: $i] :
              ( ( in @ X8 @ X4 )
             => ( in @ X8 @ X6 ) )
         => ( subset @ X4 @ X6 ) ) ) ),
    define([status(thm)]) ).

thf(setunionE,axiom,
    ( setunionE
    = ( ! [A: $i,Xx: $i] :
          ( ( in @ Xx @ ( setunion @ A ) )
         => ! [Xphi: $o] :
              ( ! [B: $i] :
                  ( ( in @ Xx @ B )
                 => ( ( in @ B @ A )
                   => Xphi ) )
             => Xphi ) ) ) ) ).

thf('4',plain,
    ( setunionE
    = ( ! [X4: $i,X6: $i] :
          ( ( in @ X6 @ ( setunion @ X4 ) )
         => ! [X8: $o] :
              ( ! [X10: $i] :
                  ( ( in @ X6 @ X10 )
                 => ( ( in @ X10 @ X4 )
                   => X8 ) )
             => X8 ) ) ) ),
    define([status(thm)]) ).

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

thf('5',plain,
    ( setunionI
    = ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( in @ X6 @ X8 )
         => ( ( in @ X8 @ X4 )
           => ( in @ X6 @ ( setunion @ X4 ) ) ) ) ) ),
    define([status(thm)]) ).

thf(setunionTransitive,conjecture,
    ( setunionI
   => ( setunionE
     => ( subsetI1
       => ( transitivesetOp2
         => ! [X: $i] :
              ( ! [Xx: $i] :
                  ( ( in @ Xx @ X )
                 => ( transitiveset @ Xx ) )
             => ( transitiveset @ ( setunion @ X ) ) ) ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ! [X4: $i,X6: $i,X8: $i] :
        ( ( in @ X6 @ X8 )
       => ( ( in @ X8 @ X4 )
         => ( in @ X6 @ ( setunion @ X4 ) ) ) )
   => ( ! [X10: $i,X12: $i] :
          ( ( in @ X12 @ ( setunion @ X10 ) )
         => ! [X14: $o] :
              ( ! [X16: $i] :
                  ( ( in @ X12 @ X16 )
                 => ( ( in @ X16 @ X10 )
                   => X14 ) )
             => X14 ) )
     => ( ! [X18: $i,X20: $i] :
            ( ! [X22: $i] :
                ( ( in @ X22 @ X18 )
               => ( in @ X22 @ X20 ) )
           => ( subset @ X18 @ X20 ) )
       => ( ! [X24: $i] :
              ( ! [X26: $i] :
                  ( ( in @ X26 @ X24 )
                 => ( subset @ X26 @ X24 ) )
             => ! [X28: $i,X30: $i] :
                  ( ( in @ X28 @ X24 )
                 => ( ( in @ X30 @ X28 )
                   => ( in @ X30 @ X24 ) ) ) )
         => ! [X32: $i] :
              ( ! [X34: $i] :
                  ( ( in @ X34 @ X32 )
                 => ! [X36: $i] :
                      ( ( in @ X36 @ X34 )
                     => ( subset @ X36 @ X34 ) ) )
             => ! [X38: $i] :
                  ( ( in @ X38 @ ( setunion @ X32 ) )
                 => ( subset @ X38 @ ( setunion @ X32 ) ) ) ) ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( ! [X4: $i,X6: $i,X8: $i] :
          ( ( in @ X6 @ X8 )
         => ( ( in @ X8 @ X4 )
           => ( in @ X6 @ ( setunion @ X4 ) ) ) )
     => ( ! [X10: $i,X12: $i] :
            ( ( in @ X12 @ ( setunion @ X10 ) )
           => ! [X14: $o] :
                ( ! [X16: $i] :
                    ( ( in @ X12 @ X16 )
                   => ( ( in @ X16 @ X10 )
                     => X14 ) )
               => X14 ) )
       => ( ! [X18: $i,X20: $i] :
              ( ! [X22: $i] :
                  ( ( in @ X22 @ X18 )
                 => ( in @ X22 @ X20 ) )
             => ( subset @ X18 @ X20 ) )
         => ( ! [X24: $i] :
                ( ! [X26: $i] :
                    ( ( in @ X26 @ X24 )
                   => ( subset @ X26 @ X24 ) )
               => ! [X28: $i,X30: $i] :
                    ( ( in @ X28 @ X24 )
                   => ( ( in @ X30 @ X28 )
                     => ( in @ X30 @ X24 ) ) ) )
           => ! [X32: $i] :
                ( ! [X34: $i] :
                    ( ( in @ X34 @ X32 )
                   => ! [X36: $i] :
                        ( ( in @ X36 @ X34 )
                       => ( subset @ X36 @ X34 ) ) )
               => ! [X38: $i] :
                    ( ( in @ X38 @ ( setunion @ X32 ) )
                   => ( subset @ X38 @ ( setunion @ X32 ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ~ ( ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( !!
                @ ^ [Y2: $i] :
                    ( ( in @ Y1 @ Y2 )
                   => ( ( in @ Y2 @ Y0 )
                     => ( in @ Y1 @ ( setunion @ Y0 ) ) ) ) ) ) )
     => ( ( !!
          @ ^ [Y0: $i] :
              ( !!
              @ ^ [Y1: $i] :
                  ( ( in @ Y1 @ ( setunion @ Y0 ) )
                 => ( !!
                    @ ^ [Y2: $o] :
                        ( ( !!
                          @ ^ [Y3: $i] :
                              ( ( in @ Y1 @ Y3 )
                             => ( ( in @ Y3 @ Y0 )
                               => Y2 ) ) )
                       => Y2 ) ) ) ) )
       => ( ( !!
            @ ^ [Y0: $i] :
                ( !!
                @ ^ [Y1: $i] :
                    ( ( !!
                      @ ^ [Y2: $i] :
                          ( ( in @ Y2 @ Y0 )
                         => ( in @ Y2 @ Y1 ) ) )
                   => ( subset @ Y0 @ Y1 ) ) ) )
         => ( ( !!
              @ ^ [Y0: $i] :
                  ( ( !!
                    @ ^ [Y1: $i] :
                        ( ( in @ Y1 @ Y0 )
                       => ( subset @ Y1 @ Y0 ) ) )
                 => ( !!
                    @ ^ [Y1: $i] :
                        ( !!
                        @ ^ [Y2: $i] :
                            ( ( in @ Y1 @ Y0 )
                           => ( ( in @ Y2 @ Y1 )
                             => ( in @ Y2 @ Y0 ) ) ) ) ) ) )
           => ( !!
              @ ^ [Y0: $i] :
                  ( ( !!
                    @ ^ [Y1: $i] :
                        ( ( in @ Y1 @ Y0 )
                       => ( !!
                          @ ^ [Y2: $i] :
                              ( ( in @ Y2 @ Y1 )
                             => ( subset @ Y2 @ Y1 ) ) ) ) )
                 => ( !!
                    @ ^ [Y1: $i] :
                        ( ( in @ Y1 @ ( setunion @ Y0 ) )
                       => ( subset @ Y1 @ ( setunion @ Y0 ) ) ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl2,plain,
    ~ ( ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( in @ Y1 @ ( setunion @ Y0 ) )
               => ( !!
                  @ ^ [Y2: $o] :
                      ( ( !!
                        @ ^ [Y3: $i] :
                            ( ( in @ Y1 @ Y3 )
                           => ( ( in @ Y3 @ Y0 )
                             => Y2 ) ) )
                     => Y2 ) ) ) ) )
     => ( ( !!
          @ ^ [Y0: $i] :
              ( !!
              @ ^ [Y1: $i] :
                  ( ( !!
                    @ ^ [Y2: $i] :
                        ( ( in @ Y2 @ Y0 )
                       => ( in @ Y2 @ Y1 ) ) )
                 => ( subset @ Y0 @ Y1 ) ) ) )
       => ( ( !!
            @ ^ [Y0: $i] :
                ( ( !!
                  @ ^ [Y1: $i] :
                      ( ( in @ Y1 @ Y0 )
                     => ( subset @ Y1 @ Y0 ) ) )
               => ( !!
                  @ ^ [Y1: $i] :
                      ( !!
                      @ ^ [Y2: $i] :
                          ( ( in @ Y1 @ Y0 )
                         => ( ( in @ Y2 @ Y1 )
                           => ( in @ Y2 @ Y0 ) ) ) ) ) ) )
         => ( !!
            @ ^ [Y0: $i] :
                ( ( !!
                  @ ^ [Y1: $i] :
                      ( ( in @ Y1 @ Y0 )
                     => ( !!
                        @ ^ [Y2: $i] :
                            ( ( in @ Y2 @ Y1 )
                           => ( subset @ Y2 @ Y1 ) ) ) ) )
               => ( !!
                  @ ^ [Y1: $i] :
                      ( ( in @ Y1 @ ( setunion @ Y0 ) )
                     => ( subset @ Y1 @ ( setunion @ Y0 ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl5,plain,
    ~ ( ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( !!
                  @ ^ [Y2: $i] :
                      ( ( in @ Y2 @ Y0 )
                     => ( in @ Y2 @ Y1 ) ) )
               => ( subset @ Y0 @ Y1 ) ) ) )
     => ( ( !!
          @ ^ [Y0: $i] :
              ( ( !!
                @ ^ [Y1: $i] :
                    ( ( in @ Y1 @ Y0 )
                   => ( subset @ Y1 @ Y0 ) ) )
             => ( !!
                @ ^ [Y1: $i] :
                    ( !!
                    @ ^ [Y2: $i] :
                        ( ( in @ Y1 @ Y0 )
                       => ( ( in @ Y2 @ Y1 )
                         => ( in @ Y2 @ Y0 ) ) ) ) ) ) )
       => ( !!
          @ ^ [Y0: $i] :
              ( ( !!
                @ ^ [Y1: $i] :
                    ( ( in @ Y1 @ Y0 )
                   => ( !!
                      @ ^ [Y2: $i] :
                          ( ( in @ Y2 @ Y1 )
                         => ( subset @ Y2 @ Y1 ) ) ) ) )
             => ( !!
                @ ^ [Y1: $i] :
                    ( ( in @ Y1 @ ( setunion @ Y0 ) )
                   => ( subset @ Y1 @ ( setunion @ Y0 ) ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl8,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( ( !!
              @ ^ [Y2: $i] :
                  ( ( in @ Y2 @ Y0 )
                 => ( in @ Y2 @ Y1 ) ) )
           => ( subset @ Y0 @ Y1 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl12,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( !!
            @ ^ [Y1: $i] :
                ( ( in @ Y1 @ X2 )
               => ( in @ Y1 @ Y0 ) ) )
         => ( subset @ X2 @ Y0 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl17,plain,
    ! [X2: $i,X4: $i] :
      ( ( !!
        @ ^ [Y0: $i] :
            ( ( in @ Y0 @ X2 )
           => ( in @ Y0 @ X4 ) ) )
     => ( subset @ X2 @ X4 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl22,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( !!
          @ ^ [Y0: $i] :
              ( ( in @ Y0 @ X2 )
             => ( in @ Y0 @ X4 ) ) )
      | ( subset @ X2 @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl27,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( ( in @ ( '#sk2' @ X2 @ X4 ) @ X2 )
         => ( in @ ( '#sk2' @ X2 @ X4 ) @ X4 ) )
      | ( subset @ X2 @ X4 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl22]) ).

thf(zip_derived_cl33,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( in @ ( '#sk2' @ X2 @ X4 ) @ X4 )
      | ( subset @ X2 @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl27]) ).

thf(zip_derived_cl9,plain,
    ~ ( ( !!
        @ ^ [Y0: $i] :
            ( ( !!
              @ ^ [Y1: $i] :
                  ( ( in @ Y1 @ Y0 )
                 => ( subset @ Y1 @ Y0 ) ) )
           => ( !!
              @ ^ [Y1: $i] :
                  ( !!
                  @ ^ [Y2: $i] :
                      ( ( in @ Y1 @ Y0 )
                     => ( ( in @ Y2 @ Y1 )
                       => ( in @ Y2 @ Y0 ) ) ) ) ) ) )
     => ( !!
        @ ^ [Y0: $i] :
            ( ( !!
              @ ^ [Y1: $i] :
                  ( ( in @ Y1 @ Y0 )
                 => ( !!
                    @ ^ [Y2: $i] :
                        ( ( in @ Y2 @ Y1 )
                       => ( subset @ Y2 @ Y1 ) ) ) ) )
           => ( !!
              @ ^ [Y1: $i] :
                  ( ( in @ Y1 @ ( setunion @ Y0 ) )
                 => ( subset @ Y1 @ ( setunion @ Y0 ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl14,plain,
    ~ ( !!
      @ ^ [Y0: $i] :
          ( ( !!
            @ ^ [Y1: $i] :
                ( ( in @ Y1 @ Y0 )
               => ( !!
                  @ ^ [Y2: $i] :
                      ( ( in @ Y2 @ Y1 )
                     => ( subset @ Y2 @ Y1 ) ) ) ) )
         => ( !!
            @ ^ [Y1: $i] :
                ( ( in @ Y1 @ ( setunion @ Y0 ) )
               => ( subset @ Y1 @ ( setunion @ Y0 ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl19,plain,
    ~ ( ( !!
        @ ^ [Y0: $i] :
            ( ( in @ Y0 @ '#sk1' )
           => ( !!
              @ ^ [Y1: $i] :
                  ( ( in @ Y1 @ Y0 )
                 => ( subset @ Y1 @ Y0 ) ) ) ) )
     => ( !!
        @ ^ [Y0: $i] :
            ( ( in @ Y0 @ ( setunion @ '#sk1' ) )
           => ( subset @ Y0 @ ( setunion @ '#sk1' ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl25,plain,
    ~ ( !!
      @ ^ [Y0: $i] :
          ( ( in @ Y0 @ ( setunion @ '#sk1' ) )
         => ( subset @ Y0 @ ( setunion @ '#sk1' ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl19]) ).

thf(zip_derived_cl30,plain,
    ~ ( ( in @ ( '#sk3' @ ( setunion @ '#sk1' ) ) @ ( setunion @ '#sk1' ) )
     => ( subset @ ( '#sk3' @ ( setunion @ '#sk1' ) ) @ ( setunion @ '#sk1' ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl25]) ).

thf(zip_derived_cl38,plain,
    ~ ( subset @ ( '#sk3' @ ( setunion @ '#sk1' ) ) @ ( setunion @ '#sk1' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl30]) ).

thf(zip_derived_cl55,plain,
    ~ ( in @ ( '#sk2' @ ( '#sk3' @ ( setunion @ '#sk1' ) ) @ ( setunion @ '#sk1' ) ) @ ( setunion @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl38]) ).

thf(zip_derived_cl32,plain,
    ! [X2: $i,X4: $i] :
      ( ( in @ ( '#sk2' @ X2 @ X4 ) @ X2 )
      | ( subset @ X2 @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl27]) ).

thf(zip_derived_cl38_001,plain,
    ~ ( subset @ ( '#sk3' @ ( setunion @ '#sk1' ) ) @ ( setunion @ '#sk1' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl30]) ).

thf(zip_derived_cl59,plain,
    in @ ( '#sk2' @ ( '#sk3' @ ( setunion @ '#sk1' ) ) @ ( setunion @ '#sk1' ) ) @ ( '#sk3' @ ( setunion @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl38]) ).

thf(zip_derived_cl37,plain,
    in @ ( '#sk3' @ ( setunion @ '#sk1' ) ) @ ( setunion @ '#sk1' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl30]) ).

thf(zip_derived_cl4,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( ( in @ Y1 @ ( setunion @ Y0 ) )
           => ( !!
              @ ^ [Y2: $o] :
                  ( ( !!
                    @ ^ [Y3: $i] :
                        ( ( in @ Y1 @ Y3 )
                       => ( ( in @ Y3 @ Y0 )
                         => Y2 ) ) )
                 => Y2 ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl7,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( in @ Y0 @ ( setunion @ X2 ) )
         => ( !!
            @ ^ [Y1: $o] :
                ( ( !!
                  @ ^ [Y2: $i] :
                      ( ( in @ Y0 @ Y2 )
                     => ( ( in @ Y2 @ X2 )
                       => Y1 ) ) )
               => Y1 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl11,plain,
    ! [X2: $i,X4: $i] :
      ( ( in @ X4 @ ( setunion @ X2 ) )
     => ( !!
        @ ^ [Y0: $o] :
            ( ( !!
              @ ^ [Y1: $i] :
                  ( ( in @ X4 @ Y1 )
                 => ( ( in @ Y1 @ X2 )
                   => Y0 ) ) )
           => Y0 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl16,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( in @ X4 @ ( setunion @ X2 ) )
      | ( !!
        @ ^ [Y0: $o] :
            ( ( !!
              @ ^ [Y1: $i] :
                  ( ( in @ X4 @ Y1 )
                 => ( ( in @ Y1 @ X2 )
                   => Y0 ) ) )
           => Y0 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl21,plain,
    ! [X2: $i,X4: $i,X6: $o] :
      ( ( ( !!
          @ ^ [Y0: $i] :
              ( ( in @ X4 @ Y0 )
             => ( ( in @ Y0 @ X2 )
               => X6 ) ) )
       => X6 )
      | ~ ( in @ X4 @ ( setunion @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl16]) ).

thf(zip_derived_cl26,plain,
    ! [X2: $i,X4: $i,X6: $o] :
      ( ~ ( !!
          @ ^ [Y0: $i] :
              ( ( in @ X4 @ Y0 )
             => ( ( in @ Y0 @ X2 )
               => X6 ) ) )
      | X6
      | ~ ( in @ X4 @ ( setunion @ X2 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl21]) ).

thf(zip_derived_cl31,plain,
    ! [X2: $i,X4: $i,X6: $o] :
      ( ~ ( ( in @ X4 @ ( '#sk4' @ X2 @ X4 @ X6 ) )
         => ( ( in @ ( '#sk4' @ X2 @ X4 @ X6 ) @ X2 )
           => X6 ) )
      | ~ ( in @ X4 @ ( setunion @ X2 ) )
      | X6 ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl26]) ).

thf(zip_derived_cl39,plain,
    ! [X2: $i,X4: $i,X6: $o] :
      ( ( in @ X4 @ ( '#sk4' @ X2 @ X4 @ X6 ) )
      | X6
      | ~ ( in @ X4 @ ( setunion @ X2 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl31]) ).

thf(zip_derived_cl112,plain,
    ! [X0: $o] :
      ( X0
      | ( in @ ( '#sk3' @ ( setunion @ '#sk1' ) ) @ ( '#sk4' @ '#sk1' @ ( '#sk3' @ ( setunion @ '#sk1' ) ) @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl39]) ).

thf(zip_derived_cl112_002,plain,
    ! [X0: $o] :
      ( X0
      | ( in @ ( '#sk3' @ ( setunion @ '#sk1' ) ) @ ( '#sk4' @ '#sk1' @ ( '#sk3' @ ( setunion @ '#sk1' ) ) @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl39]) ).

thf(zip_derived_cl59_003,plain,
    in @ ( '#sk2' @ ( '#sk3' @ ( setunion @ '#sk1' ) ) @ ( setunion @ '#sk1' ) ) @ ( '#sk3' @ ( setunion @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl38]) ).

thf(zip_derived_cl13,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( !!
          @ ^ [Y1: $i] :
              ( ( in @ Y1 @ Y0 )
             => ( subset @ Y1 @ Y0 ) ) )
       => ( !!
          @ ^ [Y1: $i] :
              ( !!
              @ ^ [Y2: $i] :
                  ( ( in @ Y1 @ Y0 )
                 => ( ( in @ Y2 @ Y1 )
                   => ( in @ Y2 @ Y0 ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl18,plain,
    ! [X2: $i] :
      ( ( !!
        @ ^ [Y0: $i] :
            ( ( in @ Y0 @ X2 )
           => ( subset @ Y0 @ X2 ) ) )
     => ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( in @ Y0 @ X2 )
               => ( ( in @ Y1 @ Y0 )
                 => ( in @ Y1 @ X2 ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl23,plain,
    ! [X2: $i] :
      ( ~ ( !!
          @ ^ [Y0: $i] :
              ( ( in @ Y0 @ X2 )
             => ( subset @ Y0 @ X2 ) ) )
      | ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( in @ Y0 @ X2 )
               => ( ( in @ Y1 @ Y0 )
                 => ( in @ Y1 @ X2 ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl28,plain,
    ! [X2: $i] :
      ( ~ ( ( in @ ( '#sk3' @ X2 ) @ X2 )
         => ( subset @ ( '#sk3' @ X2 ) @ X2 ) )
      | ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( in @ Y0 @ X2 )
               => ( ( in @ Y1 @ Y0 )
                 => ( in @ Y1 @ X2 ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl34,plain,
    ! [X2: $i] :
      ( ( in @ ( '#sk3' @ X2 ) @ X2 )
      | ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( in @ Y0 @ X2 )
               => ( ( in @ Y1 @ Y0 )
                 => ( in @ Y1 @ X2 ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl28]) ).

thf(zip_derived_cl41,plain,
    ! [X2: $i,X4: $i] :
      ( ( !!
        @ ^ [Y0: $i] :
            ( ( in @ X4 @ X2 )
           => ( ( in @ Y0 @ X4 )
             => ( in @ Y0 @ X2 ) ) ) )
      | ( in @ ( '#sk3' @ X2 ) @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl34]) ).

thf(zip_derived_cl46,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ( ( in @ X4 @ X2 )
       => ( ( in @ X6 @ X4 )
         => ( in @ X6 @ X2 ) ) )
      | ( in @ ( '#sk3' @ X2 ) @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl41]) ).

thf(zip_derived_cl49,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( in @ X4 @ X2 )
      | ( ( in @ X6 @ X4 )
       => ( in @ X6 @ X2 ) )
      | ( in @ ( '#sk3' @ X2 ) @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl46]) ).

thf(zip_derived_cl51,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( in @ X6 @ X4 )
      | ( in @ X6 @ X2 )
      | ( in @ ( '#sk3' @ X2 ) @ X2 )
      | ~ ( in @ X4 @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl49]) ).

thf(zip_derived_cl140,plain,
    ! [X0: $i] :
      ( ~ ( in @ ( '#sk3' @ ( setunion @ '#sk1' ) ) @ X0 )
      | ( in @ ( '#sk3' @ X0 ) @ X0 )
      | ( in @ ( '#sk2' @ ( '#sk3' @ ( setunion @ '#sk1' ) ) @ ( setunion @ '#sk1' ) ) @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl51]) ).

thf(zip_derived_cl366,plain,
    ! [X0: $o] :
      ( X0
      | ( in @ ( '#sk2' @ ( '#sk3' @ ( setunion @ '#sk1' ) ) @ ( setunion @ '#sk1' ) ) @ ( '#sk4' @ '#sk1' @ ( '#sk3' @ ( setunion @ '#sk1' ) ) @ X0 ) )
      | ( in @ ( '#sk3' @ ( '#sk4' @ '#sk1' @ ( '#sk3' @ ( setunion @ '#sk1' ) ) @ X0 ) ) @ ( '#sk4' @ '#sk1' @ ( '#sk3' @ ( setunion @ '#sk1' ) ) @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl140]) ).

thf(zip_derived_cl24,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( ( in @ Y0 @ '#sk1' )
       => ( !!
          @ ^ [Y1: $i] :
              ( ( in @ Y1 @ Y0 )
             => ( subset @ Y1 @ Y0 ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl19]) ).

thf(zip_derived_cl29,plain,
    ! [X2: $i] :
      ( ( in @ X2 @ '#sk1' )
     => ( !!
        @ ^ [Y0: $i] :
            ( ( in @ Y0 @ X2 )
           => ( subset @ Y0 @ X2 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl24]) ).

thf(zip_derived_cl36,plain,
    ! [X2: $i] :
      ( ~ ( in @ X2 @ '#sk1' )
      | ( !!
        @ ^ [Y0: $i] :
            ( ( in @ Y0 @ X2 )
           => ( subset @ Y0 @ X2 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl29]) ).

thf(zip_derived_cl43,plain,
    ! [X2: $i,X4: $i] :
      ( ( ( in @ X4 @ X2 )
       => ( subset @ X4 @ X2 ) )
      | ~ ( in @ X2 @ '#sk1' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl36]) ).

thf(zip_derived_cl48,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( in @ X4 @ X2 )
      | ( subset @ X4 @ X2 )
      | ~ ( in @ X2 @ '#sk1' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl43]) ).

thf(zip_derived_cl35,plain,
    ! [X2: $i] :
      ( ~ ( subset @ ( '#sk3' @ X2 ) @ X2 )
      | ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( in @ Y0 @ X2 )
               => ( ( in @ Y1 @ Y0 )
                 => ( in @ Y1 @ X2 ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl28]) ).

thf(zip_derived_cl42,plain,
    ! [X2: $i,X4: $i] :
      ( ( !!
        @ ^ [Y0: $i] :
            ( ( in @ X4 @ X2 )
           => ( ( in @ Y0 @ X4 )
             => ( in @ Y0 @ X2 ) ) ) )
      | ~ ( subset @ ( '#sk3' @ X2 ) @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl35]) ).

thf(zip_derived_cl47,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ( ( in @ X4 @ X2 )
       => ( ( in @ X6 @ X4 )
         => ( in @ X6 @ X2 ) ) )
      | ~ ( subset @ ( '#sk3' @ X2 ) @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl42]) ).

thf(zip_derived_cl50,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( in @ X4 @ X2 )
      | ( ( in @ X6 @ X4 )
       => ( in @ X6 @ X2 ) )
      | ~ ( subset @ ( '#sk3' @ X2 ) @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl47]) ).

thf(zip_derived_cl52,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( in @ X6 @ X4 )
      | ( in @ X6 @ X2 )
      | ~ ( subset @ ( '#sk3' @ X2 ) @ X2 )
      | ~ ( in @ X4 @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl50]) ).

thf(zip_derived_cl69,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( in @ X0 @ '#sk1' )
      | ~ ( in @ ( '#sk3' @ X0 ) @ X0 )
      | ~ ( in @ X1 @ X0 )
      | ( in @ X2 @ X0 )
      | ~ ( in @ X2 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl52]) ).

thf(zip_derived_cl728,plain,
    ! [X0: $o,X1: $i,X2: $i] :
      ( ( in @ ( '#sk2' @ ( '#sk3' @ ( setunion @ '#sk1' ) ) @ ( setunion @ '#sk1' ) ) @ ( '#sk4' @ '#sk1' @ ( '#sk3' @ ( setunion @ '#sk1' ) ) @ X0 ) )
      | X0
      | ~ ( in @ X2 @ X1 )
      | ( in @ X2 @ ( '#sk4' @ '#sk1' @ ( '#sk3' @ ( setunion @ '#sk1' ) ) @ X0 ) )
      | ~ ( in @ X1 @ ( '#sk4' @ '#sk1' @ ( '#sk3' @ ( setunion @ '#sk1' ) ) @ X0 ) )
      | ~ ( in @ ( '#sk4' @ '#sk1' @ ( '#sk3' @ ( setunion @ '#sk1' ) ) @ X0 ) @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl366,zip_derived_cl69]) ).

thf(zip_derived_cl37_004,plain,
    in @ ( '#sk3' @ ( setunion @ '#sk1' ) ) @ ( setunion @ '#sk1' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl30]) ).

thf(zip_derived_cl40,plain,
    ! [X2: $i,X4: $i,X6: $o] :
      ( ~ ( ( in @ ( '#sk4' @ X2 @ X4 @ X6 ) @ X2 )
         => X6 )
      | X6
      | ~ ( in @ X4 @ ( setunion @ X2 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl31]) ).

thf(zip_derived_cl44,plain,
    ! [X2: $i,X4: $i,X6: $o] :
      ( ( in @ ( '#sk4' @ X2 @ X4 @ X6 ) @ X2 )
      | ~ ( in @ X4 @ ( setunion @ X2 ) )
      | X6 ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl40]) ).

thf(zip_derived_cl122,plain,
    ! [X0: $o] :
      ( X0
      | ( in @ ( '#sk4' @ '#sk1' @ ( '#sk3' @ ( setunion @ '#sk1' ) ) @ X0 ) @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl44]) ).

thf(zip_derived_cl1200,plain,
    ! [X0: $o,X1: $i,X2: $i] :
      ( ~ ( in @ X1 @ ( '#sk4' @ '#sk1' @ ( '#sk3' @ ( setunion @ '#sk1' ) ) @ X0 ) )
      | ( in @ X2 @ ( '#sk4' @ '#sk1' @ ( '#sk3' @ ( setunion @ '#sk1' ) ) @ X0 ) )
      | ~ ( in @ X2 @ X1 )
      | X0
      | ( in @ ( '#sk2' @ ( '#sk3' @ ( setunion @ '#sk1' ) ) @ ( setunion @ '#sk1' ) ) @ ( '#sk4' @ '#sk1' @ ( '#sk3' @ ( setunion @ '#sk1' ) ) @ X0 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl728,zip_derived_cl122]) ).

thf(zip_derived_cl1203,plain,
    ! [X0: $o,X1: $i] :
      ( X0
      | ( in @ ( '#sk2' @ ( '#sk3' @ ( setunion @ '#sk1' ) ) @ ( setunion @ '#sk1' ) ) @ ( '#sk4' @ '#sk1' @ ( '#sk3' @ ( setunion @ '#sk1' ) ) @ X0 ) )
      | X0
      | ~ ( in @ X1 @ ( '#sk3' @ ( setunion @ '#sk1' ) ) )
      | ( in @ X1 @ ( '#sk4' @ '#sk1' @ ( '#sk3' @ ( setunion @ '#sk1' ) ) @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl112,zip_derived_cl1200]) ).

thf(zip_derived_cl1215,plain,
    ! [X0: $o,X1: $i] :
      ( ( in @ X1 @ ( '#sk4' @ '#sk1' @ ( '#sk3' @ ( setunion @ '#sk1' ) ) @ X0 ) )
      | ~ ( in @ X1 @ ( '#sk3' @ ( setunion @ '#sk1' ) ) )
      | ( in @ ( '#sk2' @ ( '#sk3' @ ( setunion @ '#sk1' ) ) @ ( setunion @ '#sk1' ) ) @ ( '#sk4' @ '#sk1' @ ( '#sk3' @ ( setunion @ '#sk1' ) ) @ X0 ) )
      | X0 ),
    inference(simplify,[status(thm)],[zip_derived_cl1203]) ).

thf(zip_derived_cl1219,plain,
    ! [X0: $o] :
      ( X0
      | ( in @ ( '#sk2' @ ( '#sk3' @ ( setunion @ '#sk1' ) ) @ ( setunion @ '#sk1' ) ) @ ( '#sk4' @ '#sk1' @ ( '#sk3' @ ( setunion @ '#sk1' ) ) @ X0 ) )
      | ( in @ ( '#sk2' @ ( '#sk3' @ ( setunion @ '#sk1' ) ) @ ( setunion @ '#sk1' ) ) @ ( '#sk4' @ '#sk1' @ ( '#sk3' @ ( setunion @ '#sk1' ) ) @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl59,zip_derived_cl1215]) ).

thf(zip_derived_cl1221,plain,
    ! [X0: $o] :
      ( ( in @ ( '#sk2' @ ( '#sk3' @ ( setunion @ '#sk1' ) ) @ ( setunion @ '#sk1' ) ) @ ( '#sk4' @ '#sk1' @ ( '#sk3' @ ( setunion @ '#sk1' ) ) @ X0 ) )
      | X0 ),
    inference(simplify,[status(thm)],[zip_derived_cl1219]) ).

thf(zip_derived_cl122_005,plain,
    ! [X0: $o] :
      ( X0
      | ( in @ ( '#sk4' @ '#sk1' @ ( '#sk3' @ ( setunion @ '#sk1' ) ) @ X0 ) @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl44]) ).

thf(zip_derived_cl1,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( !!
            @ ^ [Y2: $i] :
                ( ( in @ Y1 @ Y2 )
               => ( ( in @ Y2 @ Y0 )
                 => ( in @ Y1 @ ( setunion @ Y0 ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl3,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( in @ Y0 @ Y1 )
             => ( ( in @ Y1 @ X2 )
               => ( in @ Y0 @ ( setunion @ X2 ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl6,plain,
    ! [X2: $i,X4: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( in @ X4 @ Y0 )
         => ( ( in @ Y0 @ X2 )
           => ( in @ X4 @ ( setunion @ X2 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl10,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ( in @ X4 @ X6 )
     => ( ( in @ X6 @ X2 )
       => ( in @ X4 @ ( setunion @ X2 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl15,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( in @ X4 @ X6 )
      | ( ( in @ X6 @ X2 )
       => ( in @ X4 @ ( setunion @ X2 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl20,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( in @ X6 @ X2 )
      | ( in @ X4 @ ( setunion @ X2 ) )
      | ~ ( in @ X4 @ X6 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl130,plain,
    ! [X0: $o,X1: $i] :
      ( X0
      | ~ ( in @ X1 @ ( '#sk4' @ '#sk1' @ ( '#sk3' @ ( setunion @ '#sk1' ) ) @ X0 ) )
      | ( in @ X1 @ ( setunion @ '#sk1' ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl20]) ).

thf(zip_derived_cl1223,plain,
    ! [X0: $o] :
      ( X0
      | ( in @ ( '#sk2' @ ( '#sk3' @ ( setunion @ '#sk1' ) ) @ ( setunion @ '#sk1' ) ) @ ( setunion @ '#sk1' ) )
      | X0 ),
    inference('sup-',[status(thm)],[zip_derived_cl1221,zip_derived_cl130]) ).

thf(zip_derived_cl1231,plain,
    ! [X0: $o] :
      ( ( in @ ( '#sk2' @ ( '#sk3' @ ( setunion @ '#sk1' ) ) @ ( setunion @ '#sk1' ) ) @ ( setunion @ '#sk1' ) )
      | X0 ),
    inference(simplify,[status(thm)],[zip_derived_cl1223]) ).

thf(zip_derived_cl1233,plain,
    in @ ( '#sk2' @ ( '#sk3' @ ( setunion @ '#sk1' ) ) @ ( setunion @ '#sk1' ) ) @ ( setunion @ '#sk1' ),
    inference(condensation,[status(thm)],[zip_derived_cl1231]) ).

thf(zip_derived_cl1234,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl55,zip_derived_cl1233]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU815^2 : TPTP v8.1.2. Released v3.7.0.
% 0.07/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.DeBwbKOZAs true
% 0.13/0.34  % Computer : n024.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Aug 23 21:59:54 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in HO mode
% 0.53/0.64  % Total configuration time : 828
% 0.53/0.64  % Estimated wc time : 1656
% 0.53/0.64  % Estimated cpu time (8 cpus) : 207.0
% 0.53/0.69  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.53/0.71  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.53/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.53/0.72  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.85/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.85/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.85/0.75  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.85/0.78  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 6.65/1.44  % Solved by lams/20_acsne_simpl.sh.
% 6.65/1.44  % done 497 iterations in 0.635s
% 6.65/1.44  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 6.65/1.44  % SZS output start Refutation
% See solution above
% 6.65/1.44  
% 6.65/1.44  
% 6.65/1.44  % Terminating...
% 7.17/1.56  % Runner terminated.
% 7.17/1.57  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------