TSTP Solution File: SEU997^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU997^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.R3LP0ZMu3f true

% Computer : n032.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 19:19:04 EDT 2023

% Result   : Theorem 3.36s 1.13s
% Output   : Refutation 3.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   66 (  38 unt;   8 typ;   0 def)
%            Number of atoms       :  442 ( 231 equ;   0 cnn)
%            Maximal formula atoms :   56 (   7 avg)
%            Number of connectives : 1414 (  12   ~;   0   |; 156   &;1018   @)
%                                         (   0 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   30 (   6 avg)
%            Number of types       :    1 (   1 usr)
%            Number of type conns  :   18 (  18   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   7 usr;   8 con; 0-2 aty)
%                                         ( 204  !!;   6  ??;   0 @@+;   0 @@-)
%            Number of variables   :  314 ( 210   ^; 102   !;   2   ?; 314   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a_type,type,
    a: $tType ).

thf('#sk5_type',type,
    '#sk5': a ).

thf('#sk4_type',type,
    '#sk4': a ).

thf('#sk1_type',type,
    '#sk1': a > a > a ).

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

thf('#sk8_type',type,
    '#sk8': a ).

thf('#sk6_type',type,
    '#sk6': a ).

thf('#sk3_type',type,
    '#sk3': a ).

thf(cCD_LATTICE_THM_pme,conjecture,
    ! [JOIN: a > a > a,MEET: a > a > a,TOP: a,BOTTOM: a] :
      ( ( ! [Xx: a] :
          ? [Xy: a] :
            ( ( ( JOIN @ Xx @ Xy )
              = TOP )
            & ( ( MEET @ Xx @ Xy )
              = BOTTOM ) )
        & ! [Xx: a] :
            ( ( JOIN @ BOTTOM @ Xx )
            = Xx )
        & ! [Xx: a] :
            ( ( MEET @ BOTTOM @ Xx )
            = BOTTOM )
        & ! [Xx: a] :
            ( ( JOIN @ TOP @ Xx )
            = TOP )
        & ! [Xx: a] :
            ( ( MEET @ TOP @ Xx )
            = Xx )
        & ! [Xx: a,Xy: a,Xz: a] :
            ( ( JOIN @ Xx @ ( MEET @ Xy @ Xz ) )
            = ( MEET @ ( JOIN @ Xx @ Xy ) @ ( JOIN @ Xx @ Xz ) ) )
        & ! [Xx: a,Xy: a,Xz: a] :
            ( ( MEET @ Xx @ ( JOIN @ Xy @ Xz ) )
            = ( JOIN @ ( MEET @ Xx @ Xy ) @ ( MEET @ Xx @ Xz ) ) )
        & ! [Xx: a,Xy: a] :
            ( ( MEET @ ( JOIN @ Xx @ Xy ) @ Xy )
            = Xy )
        & ! [Xx: a,Xy: a] :
            ( ( JOIN @ ( MEET @ Xx @ Xy ) @ Xy )
            = Xy )
        & ! [Xx: a,Xy: a] :
            ( ( MEET @ Xx @ Xy )
            = ( MEET @ Xy @ Xx ) )
        & ! [Xx: a,Xy: a] :
            ( ( JOIN @ Xx @ Xy )
            = ( JOIN @ Xy @ Xx ) )
        & ! [Xx: a,Xy: a,Xz: a] :
            ( ( MEET @ ( MEET @ Xx @ Xy ) @ Xz )
            = ( MEET @ Xx @ ( MEET @ Xy @ Xz ) ) )
        & ! [Xx: a,Xy: a,Xz: a] :
            ( ( JOIN @ ( JOIN @ Xx @ Xy ) @ Xz )
            = ( JOIN @ Xx @ ( JOIN @ Xy @ Xz ) ) )
        & ! [Xx: a] :
            ( ( MEET @ Xx @ Xx )
            = Xx )
        & ! [Xx: a] :
            ( ( JOIN @ Xx @ Xx )
            = Xx ) )
     => ! [Xx: a,Xy: a,Xz: a] :
          ( ( ( ( MEET @ Xx @ Xz )
              = BOTTOM )
            & ( ( JOIN @ Xx @ Xz )
              = TOP )
            & ( ( MEET @ Xx @ Xy )
              = BOTTOM )
            & ( ( JOIN @ Xx @ Xy )
              = TOP ) )
         => ( Xy = Xz ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [JOIN: a > a > a,MEET: a > a > a,TOP: a,BOTTOM: a] :
        ( ( ! [Xx: a] :
            ? [Xy: a] :
              ( ( ( JOIN @ Xx @ Xy )
                = TOP )
              & ( ( MEET @ Xx @ Xy )
                = BOTTOM ) )
          & ! [Xx: a] :
              ( ( JOIN @ BOTTOM @ Xx )
              = Xx )
          & ! [Xx: a] :
              ( ( MEET @ BOTTOM @ Xx )
              = BOTTOM )
          & ! [Xx: a] :
              ( ( JOIN @ TOP @ Xx )
              = TOP )
          & ! [Xx: a] :
              ( ( MEET @ TOP @ Xx )
              = Xx )
          & ! [Xx: a,Xy: a,Xz: a] :
              ( ( JOIN @ Xx @ ( MEET @ Xy @ Xz ) )
              = ( MEET @ ( JOIN @ Xx @ Xy ) @ ( JOIN @ Xx @ Xz ) ) )
          & ! [Xx: a,Xy: a,Xz: a] :
              ( ( MEET @ Xx @ ( JOIN @ Xy @ Xz ) )
              = ( JOIN @ ( MEET @ Xx @ Xy ) @ ( MEET @ Xx @ Xz ) ) )
          & ! [Xx: a,Xy: a] :
              ( ( MEET @ ( JOIN @ Xx @ Xy ) @ Xy )
              = Xy )
          & ! [Xx: a,Xy: a] :
              ( ( JOIN @ ( MEET @ Xx @ Xy ) @ Xy )
              = Xy )
          & ! [Xx: a,Xy: a] :
              ( ( MEET @ Xx @ Xy )
              = ( MEET @ Xy @ Xx ) )
          & ! [Xx: a,Xy: a] :
              ( ( JOIN @ Xx @ Xy )
              = ( JOIN @ Xy @ Xx ) )
          & ! [Xx: a,Xy: a,Xz: a] :
              ( ( MEET @ ( MEET @ Xx @ Xy ) @ Xz )
              = ( MEET @ Xx @ ( MEET @ Xy @ Xz ) ) )
          & ! [Xx: a,Xy: a,Xz: a] :
              ( ( JOIN @ ( JOIN @ Xx @ Xy ) @ Xz )
              = ( JOIN @ Xx @ ( JOIN @ Xy @ Xz ) ) )
          & ! [Xx: a] :
              ( ( MEET @ Xx @ Xx )
              = Xx )
          & ! [Xx: a] :
              ( ( JOIN @ Xx @ Xx )
              = Xx ) )
       => ! [Xx: a,Xy: a,Xz: a] :
            ( ( ( ( MEET @ Xx @ Xz )
                = BOTTOM )
              & ( ( JOIN @ Xx @ Xz )
                = TOP )
              & ( ( MEET @ Xx @ Xy )
                = BOTTOM )
              & ( ( JOIN @ Xx @ Xy )
                = TOP ) )
           => ( Xy = Xz ) ) ),
    inference('cnf.neg',[status(esa)],[cCD_LATTICE_THM_pme]) ).

thf(zip_derived_cl0,plain,
    ~ ( !!
      @ ^ [Y0: a > a > a] :
          ( !!
          @ ^ [Y1: a > a > a] :
              ( !!
              @ ^ [Y2: a] :
                  ( !!
                  @ ^ [Y3: a] :
                      ( ( ( !!
                          @ ^ [Y4: a] :
                              ( ??
                              @ ^ [Y5: a] :
                                  ( ( ( Y0 @ Y4 @ Y5 )
                                    = Y2 )
                                  & ( ( Y1 @ Y4 @ Y5 )
                                    = Y3 ) ) ) )
                        & ( !!
                          @ ^ [Y4: a] :
                              ( ( Y0 @ Y3 @ Y4 )
                              = Y4 ) )
                        & ( !!
                          @ ^ [Y4: a] :
                              ( ( Y1 @ Y3 @ Y4 )
                              = Y3 ) )
                        & ( !!
                          @ ^ [Y4: a] :
                              ( ( Y0 @ Y2 @ Y4 )
                              = Y2 ) )
                        & ( !!
                          @ ^ [Y4: a] :
                              ( ( Y1 @ Y2 @ Y4 )
                              = Y4 ) )
                        & ( !!
                          @ ^ [Y4: a] :
                              ( !!
                              @ ^ [Y5: a] :
                                  ( !!
                                  @ ^ [Y6: a] :
                                      ( ( Y0 @ Y4 @ ( Y1 @ Y5 @ Y6 ) )
                                      = ( Y1 @ ( Y0 @ Y4 @ Y5 ) @ ( Y0 @ Y4 @ Y6 ) ) ) ) ) )
                        & ( !!
                          @ ^ [Y4: a] :
                              ( !!
                              @ ^ [Y5: a] :
                                  ( !!
                                  @ ^ [Y6: a] :
                                      ( ( Y1 @ Y4 @ ( Y0 @ Y5 @ Y6 ) )
                                      = ( Y0 @ ( Y1 @ Y4 @ Y5 ) @ ( Y1 @ Y4 @ Y6 ) ) ) ) ) )
                        & ( !!
                          @ ^ [Y4: a] :
                              ( !!
                              @ ^ [Y5: a] :
                                  ( ( Y1 @ ( Y0 @ Y4 @ Y5 ) @ Y5 )
                                  = Y5 ) ) )
                        & ( !!
                          @ ^ [Y4: a] :
                              ( !!
                              @ ^ [Y5: a] :
                                  ( ( Y0 @ ( Y1 @ Y4 @ Y5 ) @ Y5 )
                                  = Y5 ) ) )
                        & ( !!
                          @ ^ [Y4: a] :
                              ( !!
                              @ ^ [Y5: a] :
                                  ( ( Y1 @ Y4 @ Y5 )
                                  = ( Y1 @ Y5 @ Y4 ) ) ) )
                        & ( !!
                          @ ^ [Y4: a] :
                              ( !!
                              @ ^ [Y5: a] :
                                  ( ( Y0 @ Y4 @ Y5 )
                                  = ( Y0 @ Y5 @ Y4 ) ) ) )
                        & ( !!
                          @ ^ [Y4: a] :
                              ( !!
                              @ ^ [Y5: a] :
                                  ( !!
                                  @ ^ [Y6: a] :
                                      ( ( Y1 @ ( Y1 @ Y4 @ Y5 ) @ Y6 )
                                      = ( Y1 @ Y4 @ ( Y1 @ Y5 @ Y6 ) ) ) ) ) )
                        & ( !!
                          @ ^ [Y4: a] :
                              ( !!
                              @ ^ [Y5: a] :
                                  ( !!
                                  @ ^ [Y6: a] :
                                      ( ( Y0 @ ( Y0 @ Y4 @ Y5 ) @ Y6 )
                                      = ( Y0 @ Y4 @ ( Y0 @ Y5 @ Y6 ) ) ) ) ) )
                        & ( !!
                          @ ^ [Y4: a] :
                              ( ( Y1 @ Y4 @ Y4 )
                              = Y4 ) )
                        & ( !!
                          @ ^ [Y4: a] :
                              ( ( Y0 @ Y4 @ Y4 )
                              = Y4 ) ) )
                     => ( !!
                        @ ^ [Y4: a] :
                            ( !!
                            @ ^ [Y5: a] :
                                ( !!
                                @ ^ [Y6: a] :
                                    ( ( ( ( Y1 @ Y4 @ Y6 )
                                        = Y3 )
                                      & ( ( Y0 @ Y4 @ Y6 )
                                        = Y2 )
                                      & ( ( Y1 @ Y4 @ Y5 )
                                        = Y3 )
                                      & ( ( Y0 @ Y4 @ Y5 )
                                        = Y2 ) )
                                   => ( Y5 = Y6 ) ) ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ~ ( !!
      @ ^ [Y0: a > a > a] :
          ( !!
          @ ^ [Y1: a] :
              ( !!
              @ ^ [Y2: a] :
                  ( ( ( !!
                      @ ^ [Y3: a] :
                          ( ??
                          @ ^ [Y4: a] :
                              ( ( ( '#sk1' @ Y3 @ Y4 )
                                = Y1 )
                              & ( ( Y0 @ Y3 @ Y4 )
                                = Y2 ) ) ) )
                    & ( !!
                      @ ^ [Y3: a] :
                          ( ( '#sk1' @ Y2 @ Y3 )
                          = Y3 ) )
                    & ( !!
                      @ ^ [Y3: a] :
                          ( ( Y0 @ Y2 @ Y3 )
                          = Y2 ) )
                    & ( !!
                      @ ^ [Y3: a] :
                          ( ( '#sk1' @ Y1 @ Y3 )
                          = Y1 ) )
                    & ( !!
                      @ ^ [Y3: a] :
                          ( ( Y0 @ Y1 @ Y3 )
                          = Y3 ) )
                    & ( !!
                      @ ^ [Y3: a] :
                          ( !!
                          @ ^ [Y4: a] :
                              ( !!
                              @ ^ [Y5: a] :
                                  ( ( '#sk1' @ Y3 @ ( Y0 @ Y4 @ Y5 ) )
                                  = ( Y0 @ ( '#sk1' @ Y3 @ Y4 ) @ ( '#sk1' @ Y3 @ Y5 ) ) ) ) ) )
                    & ( !!
                      @ ^ [Y3: a] :
                          ( !!
                          @ ^ [Y4: a] :
                              ( !!
                              @ ^ [Y5: a] :
                                  ( ( Y0 @ Y3 @ ( '#sk1' @ Y4 @ Y5 ) )
                                  = ( '#sk1' @ ( Y0 @ Y3 @ Y4 ) @ ( Y0 @ Y3 @ Y5 ) ) ) ) ) )
                    & ( !!
                      @ ^ [Y3: a] :
                          ( !!
                          @ ^ [Y4: a] :
                              ( ( Y0 @ ( '#sk1' @ Y3 @ Y4 ) @ Y4 )
                              = Y4 ) ) )
                    & ( !!
                      @ ^ [Y3: a] :
                          ( !!
                          @ ^ [Y4: a] :
                              ( ( '#sk1' @ ( Y0 @ Y3 @ Y4 ) @ Y4 )
                              = Y4 ) ) )
                    & ( !!
                      @ ^ [Y3: a] :
                          ( !!
                          @ ^ [Y4: a] :
                              ( ( Y0 @ Y3 @ Y4 )
                              = ( Y0 @ Y4 @ Y3 ) ) ) )
                    & ( !!
                      @ ^ [Y3: a] :
                          ( !!
                          @ ^ [Y4: a] :
                              ( ( '#sk1' @ Y3 @ Y4 )
                              = ( '#sk1' @ Y4 @ Y3 ) ) ) )
                    & ( !!
                      @ ^ [Y3: a] :
                          ( !!
                          @ ^ [Y4: a] :
                              ( !!
                              @ ^ [Y5: a] :
                                  ( ( Y0 @ ( Y0 @ Y3 @ Y4 ) @ Y5 )
                                  = ( Y0 @ Y3 @ ( Y0 @ Y4 @ Y5 ) ) ) ) ) )
                    & ( !!
                      @ ^ [Y3: a] :
                          ( !!
                          @ ^ [Y4: a] :
                              ( !!
                              @ ^ [Y5: a] :
                                  ( ( '#sk1' @ ( '#sk1' @ Y3 @ Y4 ) @ Y5 )
                                  = ( '#sk1' @ Y3 @ ( '#sk1' @ Y4 @ Y5 ) ) ) ) ) )
                    & ( !!
                      @ ^ [Y3: a] :
                          ( ( Y0 @ Y3 @ Y3 )
                          = Y3 ) )
                    & ( !!
                      @ ^ [Y3: a] :
                          ( ( '#sk1' @ Y3 @ Y3 )
                          = Y3 ) ) )
                 => ( !!
                    @ ^ [Y3: a] :
                        ( !!
                        @ ^ [Y4: a] :
                            ( !!
                            @ ^ [Y5: a] :
                                ( ( ( ( Y0 @ Y3 @ Y5 )
                                    = Y2 )
                                  & ( ( '#sk1' @ Y3 @ Y5 )
                                    = Y1 )
                                  & ( ( Y0 @ Y3 @ Y4 )
                                    = Y2 )
                                  & ( ( '#sk1' @ Y3 @ Y4 )
                                    = Y1 ) )
                               => ( Y4 = Y5 ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ~ ( !!
      @ ^ [Y0: a] :
          ( !!
          @ ^ [Y1: a] :
              ( ( ( !!
                  @ ^ [Y2: a] :
                      ( ??
                      @ ^ [Y3: a] :
                          ( ( ( '#sk1' @ Y2 @ Y3 )
                            = Y0 )
                          & ( ( '#sk2' @ Y2 @ Y3 )
                            = Y1 ) ) ) )
                & ( !!
                  @ ^ [Y2: a] :
                      ( ( '#sk1' @ Y1 @ Y2 )
                      = Y2 ) )
                & ( !!
                  @ ^ [Y2: a] :
                      ( ( '#sk2' @ Y1 @ Y2 )
                      = Y1 ) )
                & ( !!
                  @ ^ [Y2: a] :
                      ( ( '#sk1' @ Y0 @ Y2 )
                      = Y0 ) )
                & ( !!
                  @ ^ [Y2: a] :
                      ( ( '#sk2' @ Y0 @ Y2 )
                      = Y2 ) )
                & ( !!
                  @ ^ [Y2: a] :
                      ( !!
                      @ ^ [Y3: a] :
                          ( !!
                          @ ^ [Y4: a] :
                              ( ( '#sk1' @ Y2 @ ( '#sk2' @ Y3 @ Y4 ) )
                              = ( '#sk2' @ ( '#sk1' @ Y2 @ Y3 ) @ ( '#sk1' @ Y2 @ Y4 ) ) ) ) ) )
                & ( !!
                  @ ^ [Y2: a] :
                      ( !!
                      @ ^ [Y3: a] :
                          ( !!
                          @ ^ [Y4: a] :
                              ( ( '#sk2' @ Y2 @ ( '#sk1' @ Y3 @ Y4 ) )
                              = ( '#sk1' @ ( '#sk2' @ Y2 @ Y3 ) @ ( '#sk2' @ Y2 @ Y4 ) ) ) ) ) )
                & ( !!
                  @ ^ [Y2: a] :
                      ( !!
                      @ ^ [Y3: a] :
                          ( ( '#sk2' @ ( '#sk1' @ Y2 @ Y3 ) @ Y3 )
                          = Y3 ) ) )
                & ( !!
                  @ ^ [Y2: a] :
                      ( !!
                      @ ^ [Y3: a] :
                          ( ( '#sk1' @ ( '#sk2' @ Y2 @ Y3 ) @ Y3 )
                          = Y3 ) ) )
                & ( !!
                  @ ^ [Y2: a] :
                      ( !!
                      @ ^ [Y3: a] :
                          ( ( '#sk2' @ Y2 @ Y3 )
                          = ( '#sk2' @ Y3 @ Y2 ) ) ) )
                & ( !!
                  @ ^ [Y2: a] :
                      ( !!
                      @ ^ [Y3: a] :
                          ( ( '#sk1' @ Y2 @ Y3 )
                          = ( '#sk1' @ Y3 @ Y2 ) ) ) )
                & ( !!
                  @ ^ [Y2: a] :
                      ( !!
                      @ ^ [Y3: a] :
                          ( !!
                          @ ^ [Y4: a] :
                              ( ( '#sk2' @ ( '#sk2' @ Y2 @ Y3 ) @ Y4 )
                              = ( '#sk2' @ Y2 @ ( '#sk2' @ Y3 @ Y4 ) ) ) ) ) )
                & ( !!
                  @ ^ [Y2: a] :
                      ( !!
                      @ ^ [Y3: a] :
                          ( !!
                          @ ^ [Y4: a] :
                              ( ( '#sk1' @ ( '#sk1' @ Y2 @ Y3 ) @ Y4 )
                              = ( '#sk1' @ Y2 @ ( '#sk1' @ Y3 @ Y4 ) ) ) ) ) )
                & ( !!
                  @ ^ [Y2: a] :
                      ( ( '#sk2' @ Y2 @ Y2 )
                      = Y2 ) )
                & ( !!
                  @ ^ [Y2: a] :
                      ( ( '#sk1' @ Y2 @ Y2 )
                      = Y2 ) ) )
             => ( !!
                @ ^ [Y2: a] :
                    ( !!
                    @ ^ [Y3: a] :
                        ( !!
                        @ ^ [Y4: a] :
                            ( ( ( ( '#sk2' @ Y2 @ Y4 )
                                = Y1 )
                              & ( ( '#sk1' @ Y2 @ Y4 )
                                = Y0 )
                              & ( ( '#sk2' @ Y2 @ Y3 )
                                = Y1 )
                              & ( ( '#sk1' @ Y2 @ Y3 )
                                = Y0 ) )
                           => ( Y3 = Y4 ) ) ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl3,plain,
    ~ ( !!
      @ ^ [Y0: a] :
          ( ( ( !!
              @ ^ [Y1: a] :
                  ( ??
                  @ ^ [Y2: a] :
                      ( ( ( '#sk1' @ Y1 @ Y2 )
                        = '#sk3' )
                      & ( ( '#sk2' @ Y1 @ Y2 )
                        = Y0 ) ) ) )
            & ( !!
              @ ^ [Y1: a] :
                  ( ( '#sk1' @ Y0 @ Y1 )
                  = Y1 ) )
            & ( !!
              @ ^ [Y1: a] :
                  ( ( '#sk2' @ Y0 @ Y1 )
                  = Y0 ) )
            & ( !!
              @ ^ [Y1: a] :
                  ( ( '#sk1' @ '#sk3' @ Y1 )
                  = '#sk3' ) )
            & ( !!
              @ ^ [Y1: a] :
                  ( ( '#sk2' @ '#sk3' @ Y1 )
                  = Y1 ) )
            & ( !!
              @ ^ [Y1: a] :
                  ( !!
                  @ ^ [Y2: a] :
                      ( !!
                      @ ^ [Y3: a] :
                          ( ( '#sk1' @ Y1 @ ( '#sk2' @ Y2 @ Y3 ) )
                          = ( '#sk2' @ ( '#sk1' @ Y1 @ Y2 ) @ ( '#sk1' @ Y1 @ Y3 ) ) ) ) ) )
            & ( !!
              @ ^ [Y1: a] :
                  ( !!
                  @ ^ [Y2: a] :
                      ( !!
                      @ ^ [Y3: a] :
                          ( ( '#sk2' @ Y1 @ ( '#sk1' @ Y2 @ Y3 ) )
                          = ( '#sk1' @ ( '#sk2' @ Y1 @ Y2 ) @ ( '#sk2' @ Y1 @ Y3 ) ) ) ) ) )
            & ( !!
              @ ^ [Y1: a] :
                  ( !!
                  @ ^ [Y2: a] :
                      ( ( '#sk2' @ ( '#sk1' @ Y1 @ Y2 ) @ Y2 )
                      = Y2 ) ) )
            & ( !!
              @ ^ [Y1: a] :
                  ( !!
                  @ ^ [Y2: a] :
                      ( ( '#sk1' @ ( '#sk2' @ Y1 @ Y2 ) @ Y2 )
                      = Y2 ) ) )
            & ( !!
              @ ^ [Y1: a] :
                  ( !!
                  @ ^ [Y2: a] :
                      ( ( '#sk2' @ Y1 @ Y2 )
                      = ( '#sk2' @ Y2 @ Y1 ) ) ) )
            & ( !!
              @ ^ [Y1: a] :
                  ( !!
                  @ ^ [Y2: a] :
                      ( ( '#sk1' @ Y1 @ Y2 )
                      = ( '#sk1' @ Y2 @ Y1 ) ) ) )
            & ( !!
              @ ^ [Y1: a] :
                  ( !!
                  @ ^ [Y2: a] :
                      ( !!
                      @ ^ [Y3: a] :
                          ( ( '#sk2' @ ( '#sk2' @ Y1 @ Y2 ) @ Y3 )
                          = ( '#sk2' @ Y1 @ ( '#sk2' @ Y2 @ Y3 ) ) ) ) ) )
            & ( !!
              @ ^ [Y1: a] :
                  ( !!
                  @ ^ [Y2: a] :
                      ( !!
                      @ ^ [Y3: a] :
                          ( ( '#sk1' @ ( '#sk1' @ Y1 @ Y2 ) @ Y3 )
                          = ( '#sk1' @ Y1 @ ( '#sk1' @ Y2 @ Y3 ) ) ) ) ) )
            & ( !!
              @ ^ [Y1: a] :
                  ( ( '#sk2' @ Y1 @ Y1 )
                  = Y1 ) )
            & ( !!
              @ ^ [Y1: a] :
                  ( ( '#sk1' @ Y1 @ Y1 )
                  = Y1 ) ) )
         => ( !!
            @ ^ [Y1: a] :
                ( !!
                @ ^ [Y2: a] :
                    ( !!
                    @ ^ [Y3: a] :
                        ( ( ( ( '#sk2' @ Y1 @ Y3 )
                            = Y0 )
                          & ( ( '#sk1' @ Y1 @ Y3 )
                            = '#sk3' )
                          & ( ( '#sk2' @ Y1 @ Y2 )
                            = Y0 )
                          & ( ( '#sk1' @ Y1 @ Y2 )
                            = '#sk3' ) )
                       => ( Y2 = Y3 ) ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl4,plain,
    ~ ( ( ( !!
          @ ^ [Y0: a] :
              ( ??
              @ ^ [Y1: a] :
                  ( ( ( '#sk1' @ Y0 @ Y1 )
                    = '#sk3' )
                  & ( ( '#sk2' @ Y0 @ Y1 )
                    = '#sk4' ) ) ) )
        & ( !!
          @ ^ [Y0: a] :
              ( ( '#sk1' @ '#sk4' @ Y0 )
              = Y0 ) )
        & ( !!
          @ ^ [Y0: a] :
              ( ( '#sk2' @ '#sk4' @ Y0 )
              = '#sk4' ) )
        & ( !!
          @ ^ [Y0: a] :
              ( ( '#sk1' @ '#sk3' @ Y0 )
              = '#sk3' ) )
        & ( !!
          @ ^ [Y0: a] :
              ( ( '#sk2' @ '#sk3' @ Y0 )
              = Y0 ) )
        & ( !!
          @ ^ [Y0: a] :
              ( !!
              @ ^ [Y1: a] :
                  ( !!
                  @ ^ [Y2: a] :
                      ( ( '#sk1' @ Y0 @ ( '#sk2' @ Y1 @ Y2 ) )
                      = ( '#sk2' @ ( '#sk1' @ Y0 @ Y1 ) @ ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) )
        & ( !!
          @ ^ [Y0: a] :
              ( !!
              @ ^ [Y1: a] :
                  ( !!
                  @ ^ [Y2: a] :
                      ( ( '#sk2' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) )
                      = ( '#sk1' @ ( '#sk2' @ Y0 @ Y1 ) @ ( '#sk2' @ Y0 @ Y2 ) ) ) ) ) )
        & ( !!
          @ ^ [Y0: a] :
              ( !!
              @ ^ [Y1: a] :
                  ( ( '#sk2' @ ( '#sk1' @ Y0 @ Y1 ) @ Y1 )
                  = Y1 ) ) )
        & ( !!
          @ ^ [Y0: a] :
              ( !!
              @ ^ [Y1: a] :
                  ( ( '#sk1' @ ( '#sk2' @ Y0 @ Y1 ) @ Y1 )
                  = Y1 ) ) )
        & ( !!
          @ ^ [Y0: a] :
              ( !!
              @ ^ [Y1: a] :
                  ( ( '#sk2' @ Y0 @ Y1 )
                  = ( '#sk2' @ Y1 @ Y0 ) ) ) )
        & ( !!
          @ ^ [Y0: a] :
              ( !!
              @ ^ [Y1: a] :
                  ( ( '#sk1' @ Y0 @ Y1 )
                  = ( '#sk1' @ Y1 @ Y0 ) ) ) )
        & ( !!
          @ ^ [Y0: a] :
              ( !!
              @ ^ [Y1: a] :
                  ( !!
                  @ ^ [Y2: a] :
                      ( ( '#sk2' @ ( '#sk2' @ Y0 @ Y1 ) @ Y2 )
                      = ( '#sk2' @ Y0 @ ( '#sk2' @ Y1 @ Y2 ) ) ) ) ) )
        & ( !!
          @ ^ [Y0: a] :
              ( !!
              @ ^ [Y1: a] :
                  ( !!
                  @ ^ [Y2: a] :
                      ( ( '#sk1' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 )
                      = ( '#sk1' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) )
        & ( !!
          @ ^ [Y0: a] :
              ( ( '#sk2' @ Y0 @ Y0 )
              = Y0 ) )
        & ( !!
          @ ^ [Y0: a] :
              ( ( '#sk1' @ Y0 @ Y0 )
              = Y0 ) ) )
     => ( !!
        @ ^ [Y0: a] :
            ( !!
            @ ^ [Y1: a] :
                ( !!
                @ ^ [Y2: a] :
                    ( ( ( ( '#sk2' @ Y0 @ Y2 )
                        = '#sk4' )
                      & ( ( '#sk1' @ Y0 @ Y2 )
                        = '#sk3' )
                      & ( ( '#sk2' @ Y0 @ Y1 )
                        = '#sk4' )
                      & ( ( '#sk1' @ Y0 @ Y1 )
                        = '#sk3' ) )
                   => ( Y1 = Y2 ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl6,plain,
    ~ ( !!
      @ ^ [Y0: a] :
          ( !!
          @ ^ [Y1: a] :
              ( !!
              @ ^ [Y2: a] :
                  ( ( ( ( '#sk2' @ Y0 @ Y2 )
                      = '#sk4' )
                    & ( ( '#sk1' @ Y0 @ Y2 )
                      = '#sk3' )
                    & ( ( '#sk2' @ Y0 @ Y1 )
                      = '#sk4' )
                    & ( ( '#sk1' @ Y0 @ Y1 )
                      = '#sk3' ) )
                 => ( Y1 = Y2 ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl22,plain,
    ~ ( !!
      @ ^ [Y0: a] :
          ( !!
          @ ^ [Y1: a] :
              ( ( ( ( '#sk2' @ '#sk5' @ Y1 )
                  = '#sk4' )
                & ( ( '#sk1' @ '#sk5' @ Y1 )
                  = '#sk3' )
                & ( ( '#sk2' @ '#sk5' @ Y0 )
                  = '#sk4' )
                & ( ( '#sk1' @ '#sk5' @ Y0 )
                  = '#sk3' ) )
             => ( Y0 = Y1 ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl38,plain,
    ~ ( !!
      @ ^ [Y0: a] :
          ( ( ( ( '#sk2' @ '#sk5' @ Y0 )
              = '#sk4' )
            & ( ( '#sk1' @ '#sk5' @ Y0 )
              = '#sk3' )
            & ( ( '#sk2' @ '#sk5' @ '#sk6' )
              = '#sk4' )
            & ( ( '#sk1' @ '#sk5' @ '#sk6' )
              = '#sk3' ) )
         => ( '#sk6' = Y0 ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl22]) ).

thf(zip_derived_cl54,plain,
    ~ ( ( ( ( '#sk2' @ '#sk5' @ '#sk8' )
          = '#sk4' )
        & ( ( '#sk1' @ '#sk5' @ '#sk8' )
          = '#sk3' )
        & ( ( '#sk2' @ '#sk5' @ '#sk6' )
          = '#sk4' )
        & ( ( '#sk1' @ '#sk5' @ '#sk6' )
          = '#sk3' ) )
     => ( '#sk6' = '#sk8' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl38]) ).

thf(zip_derived_cl65,plain,
    ( ( ( '#sk2' @ '#sk5' @ '#sk8' )
      = '#sk4' )
    & ( ( '#sk1' @ '#sk5' @ '#sk8' )
      = '#sk3' )
    & ( ( '#sk2' @ '#sk5' @ '#sk6' )
      = '#sk4' )
    & ( ( '#sk1' @ '#sk5' @ '#sk6' )
      = '#sk3' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl54]) ).

thf(zip_derived_cl75,plain,
    ( ( '#sk2' @ '#sk5' @ '#sk6' )
    = '#sk4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl65]) ).

thf(zip_derived_cl80,plain,
    ( ( '#sk2' @ '#sk5' @ '#sk6' )
    = '#sk4' ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl75]) ).

thf(zip_derived_cl74,plain,
    ( ( '#sk1' @ '#sk5' @ '#sk8' )
    = '#sk3' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl65]) ).

thf(zip_derived_cl79,plain,
    ( ( '#sk1' @ '#sk5' @ '#sk8' )
    = '#sk3' ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl74]) ).

thf(zip_derived_cl5,plain,
    ( ( !!
      @ ^ [Y0: a] :
          ( ??
          @ ^ [Y1: a] :
              ( ( ( '#sk1' @ Y0 @ Y1 )
                = '#sk3' )
              & ( ( '#sk2' @ Y0 @ Y1 )
                = '#sk4' ) ) ) )
    & ( !!
      @ ^ [Y0: a] :
          ( ( '#sk1' @ '#sk4' @ Y0 )
          = Y0 ) )
    & ( !!
      @ ^ [Y0: a] :
          ( ( '#sk2' @ '#sk4' @ Y0 )
          = '#sk4' ) )
    & ( !!
      @ ^ [Y0: a] :
          ( ( '#sk1' @ '#sk3' @ Y0 )
          = '#sk3' ) )
    & ( !!
      @ ^ [Y0: a] :
          ( ( '#sk2' @ '#sk3' @ Y0 )
          = Y0 ) )
    & ( !!
      @ ^ [Y0: a] :
          ( !!
          @ ^ [Y1: a] :
              ( !!
              @ ^ [Y2: a] :
                  ( ( '#sk1' @ Y0 @ ( '#sk2' @ Y1 @ Y2 ) )
                  = ( '#sk2' @ ( '#sk1' @ Y0 @ Y1 ) @ ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) )
    & ( !!
      @ ^ [Y0: a] :
          ( !!
          @ ^ [Y1: a] :
              ( !!
              @ ^ [Y2: a] :
                  ( ( '#sk2' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) )
                  = ( '#sk1' @ ( '#sk2' @ Y0 @ Y1 ) @ ( '#sk2' @ Y0 @ Y2 ) ) ) ) ) )
    & ( !!
      @ ^ [Y0: a] :
          ( !!
          @ ^ [Y1: a] :
              ( ( '#sk2' @ ( '#sk1' @ Y0 @ Y1 ) @ Y1 )
              = Y1 ) ) )
    & ( !!
      @ ^ [Y0: a] :
          ( !!
          @ ^ [Y1: a] :
              ( ( '#sk1' @ ( '#sk2' @ Y0 @ Y1 ) @ Y1 )
              = Y1 ) ) )
    & ( !!
      @ ^ [Y0: a] :
          ( !!
          @ ^ [Y1: a] :
              ( ( '#sk2' @ Y0 @ Y1 )
              = ( '#sk2' @ Y1 @ Y0 ) ) ) )
    & ( !!
      @ ^ [Y0: a] :
          ( !!
          @ ^ [Y1: a] :
              ( ( '#sk1' @ Y0 @ Y1 )
              = ( '#sk1' @ Y1 @ Y0 ) ) ) )
    & ( !!
      @ ^ [Y0: a] :
          ( !!
          @ ^ [Y1: a] :
              ( !!
              @ ^ [Y2: a] :
                  ( ( '#sk2' @ ( '#sk2' @ Y0 @ Y1 ) @ Y2 )
                  = ( '#sk2' @ Y0 @ ( '#sk2' @ Y1 @ Y2 ) ) ) ) ) )
    & ( !!
      @ ^ [Y0: a] :
          ( !!
          @ ^ [Y1: a] :
              ( !!
              @ ^ [Y2: a] :
                  ( ( '#sk1' @ ( '#sk1' @ Y0 @ Y1 ) @ Y2 )
                  = ( '#sk1' @ Y0 @ ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) )
    & ( !!
      @ ^ [Y0: a] :
          ( ( '#sk2' @ Y0 @ Y0 )
          = Y0 ) )
    & ( !!
      @ ^ [Y0: a] :
          ( ( '#sk1' @ Y0 @ Y0 )
          = Y0 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl17,plain,
    ( !!
    @ ^ [Y0: a] :
        ( !!
        @ ^ [Y1: a] :
            ( ( '#sk1' @ Y0 @ Y1 )
            = ( '#sk1' @ Y1 @ Y0 ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl33,plain,
    ! [X2: a] :
      ( !!
      @ ^ [Y0: a] :
          ( ( '#sk1' @ X2 @ Y0 )
          = ( '#sk1' @ Y0 @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl49,plain,
    ! [X2: a,X4: a] :
      ( ( '#sk1' @ X2 @ X4 )
      = ( '#sk1' @ X4 @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl33]) ).

thf(zip_derived_cl62,plain,
    ! [X2: a,X4: a] :
      ( ( '#sk1' @ X2 @ X4 )
      = ( '#sk1' @ X4 @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl49]) ).

thf(zip_derived_cl170,plain,
    ( ( '#sk1' @ '#sk8' @ '#sk5' )
    = '#sk3' ),
    inference('sup+',[status(thm)],[zip_derived_cl79,zip_derived_cl62]) ).

thf(zip_derived_cl12,plain,
    ( !!
    @ ^ [Y0: a] :
        ( !!
        @ ^ [Y1: a] :
            ( !!
            @ ^ [Y2: a] :
                ( ( '#sk1' @ Y0 @ ( '#sk2' @ Y1 @ Y2 ) )
                = ( '#sk2' @ ( '#sk1' @ Y0 @ Y1 ) @ ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl28,plain,
    ! [X2: a] :
      ( !!
      @ ^ [Y0: a] :
          ( !!
          @ ^ [Y1: a] :
              ( ( '#sk1' @ X2 @ ( '#sk2' @ Y0 @ Y1 ) )
              = ( '#sk2' @ ( '#sk1' @ X2 @ Y0 ) @ ( '#sk1' @ X2 @ Y1 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl44,plain,
    ! [X2: a,X4: a] :
      ( !!
      @ ^ [Y0: a] :
          ( ( '#sk1' @ X2 @ ( '#sk2' @ X4 @ Y0 ) )
          = ( '#sk2' @ ( '#sk1' @ X2 @ X4 ) @ ( '#sk1' @ X2 @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl28]) ).

thf(zip_derived_cl57,plain,
    ! [X2: a,X4: a,X6: a] :
      ( ( '#sk1' @ X2 @ ( '#sk2' @ X4 @ X6 ) )
      = ( '#sk2' @ ( '#sk1' @ X2 @ X4 ) @ ( '#sk1' @ X2 @ X6 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl44]) ).

thf(zip_derived_cl69,plain,
    ! [X2: a,X4: a,X6: a] :
      ( ( '#sk1' @ X2 @ ( '#sk2' @ X4 @ X6 ) )
      = ( '#sk2' @ ( '#sk1' @ X2 @ X4 ) @ ( '#sk1' @ X2 @ X6 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl57]) ).

thf(zip_derived_cl221,plain,
    ! [X0: a] :
      ( ( '#sk1' @ '#sk8' @ ( '#sk2' @ '#sk5' @ X0 ) )
      = ( '#sk2' @ '#sk3' @ ( '#sk1' @ '#sk8' @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl170,zip_derived_cl69]) ).

thf(zip_derived_cl11,plain,
    ( !!
    @ ^ [Y0: a] :
        ( ( '#sk2' @ '#sk3' @ Y0 )
        = Y0 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl27,plain,
    ! [X2: a] :
      ( ( '#sk2' @ '#sk3' @ X2 )
      = X2 ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl43,plain,
    ! [X2: a] :
      ( ( '#sk2' @ '#sk3' @ X2 )
      = X2 ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl27]) ).

thf(zip_derived_cl270,plain,
    ! [X0: a] :
      ( ( '#sk1' @ '#sk8' @ ( '#sk2' @ '#sk5' @ X0 ) )
      = ( '#sk1' @ '#sk8' @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl221,zip_derived_cl43]) ).

thf(zip_derived_cl2428,plain,
    ( ( '#sk1' @ '#sk8' @ '#sk4' )
    = ( '#sk1' @ '#sk8' @ '#sk6' ) ),
    inference('sup+',[status(thm)],[zip_derived_cl80,zip_derived_cl270]) ).

thf(zip_derived_cl62_001,plain,
    ! [X2: a,X4: a] :
      ( ( '#sk1' @ X2 @ X4 )
      = ( '#sk1' @ X4 @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl49]) ).

thf(zip_derived_cl8,plain,
    ( !!
    @ ^ [Y0: a] :
        ( ( '#sk1' @ '#sk4' @ Y0 )
        = Y0 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl24,plain,
    ! [X2: a] :
      ( ( '#sk1' @ '#sk4' @ X2 )
      = X2 ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl40,plain,
    ! [X2: a] :
      ( ( '#sk1' @ '#sk4' @ X2 )
      = X2 ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl24]) ).

thf(zip_derived_cl160,plain,
    ! [X0: a] :
      ( ( '#sk1' @ X0 @ '#sk4' )
      = X0 ),
    inference('sup+',[status(thm)],[zip_derived_cl62,zip_derived_cl40]) ).

thf(zip_derived_cl2472,plain,
    ( '#sk8'
    = ( '#sk1' @ '#sk8' @ '#sk6' ) ),
    inference(demod,[status(thm)],[zip_derived_cl2428,zip_derived_cl160]) ).

thf(zip_derived_cl62_002,plain,
    ! [X2: a,X4: a] :
      ( ( '#sk1' @ X2 @ X4 )
      = ( '#sk1' @ X4 @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl49]) ).

thf(zip_derived_cl2607,plain,
    ( ( '#sk1' @ '#sk6' @ '#sk8' )
    = '#sk8' ),
    inference('sup+',[status(thm)],[zip_derived_cl2472,zip_derived_cl62]) ).

thf(zip_derived_cl73,plain,
    ( ( '#sk2' @ '#sk5' @ '#sk8' )
    = '#sk4' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl65]) ).

thf(zip_derived_cl78,plain,
    ( ( '#sk2' @ '#sk5' @ '#sk8' )
    = '#sk4' ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl73]) ).

thf(zip_derived_cl76,plain,
    ( ( '#sk1' @ '#sk5' @ '#sk6' )
    = '#sk3' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl65]) ).

thf(zip_derived_cl81,plain,
    ( ( '#sk1' @ '#sk5' @ '#sk6' )
    = '#sk3' ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl76]) ).

thf(zip_derived_cl62_003,plain,
    ! [X2: a,X4: a] :
      ( ( '#sk1' @ X2 @ X4 )
      = ( '#sk1' @ X4 @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl49]) ).

thf(zip_derived_cl171,plain,
    ( ( '#sk1' @ '#sk6' @ '#sk5' )
    = '#sk3' ),
    inference('sup+',[status(thm)],[zip_derived_cl81,zip_derived_cl62]) ).

thf(zip_derived_cl69_004,plain,
    ! [X2: a,X4: a,X6: a] :
      ( ( '#sk1' @ X2 @ ( '#sk2' @ X4 @ X6 ) )
      = ( '#sk2' @ ( '#sk1' @ X2 @ X4 ) @ ( '#sk1' @ X2 @ X6 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl57]) ).

thf(zip_derived_cl222,plain,
    ! [X0: a] :
      ( ( '#sk1' @ '#sk6' @ ( '#sk2' @ '#sk5' @ X0 ) )
      = ( '#sk2' @ '#sk3' @ ( '#sk1' @ '#sk6' @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl171,zip_derived_cl69]) ).

thf(zip_derived_cl43_005,plain,
    ! [X2: a] :
      ( ( '#sk2' @ '#sk3' @ X2 )
      = X2 ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl27]) ).

thf(zip_derived_cl271,plain,
    ! [X0: a] :
      ( ( '#sk1' @ '#sk6' @ ( '#sk2' @ '#sk5' @ X0 ) )
      = ( '#sk1' @ '#sk6' @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl222,zip_derived_cl43]) ).

thf(zip_derived_cl2522,plain,
    ( ( '#sk1' @ '#sk6' @ '#sk4' )
    = ( '#sk1' @ '#sk6' @ '#sk8' ) ),
    inference('sup+',[status(thm)],[zip_derived_cl78,zip_derived_cl271]) ).

thf(zip_derived_cl160_006,plain,
    ! [X0: a] :
      ( ( '#sk1' @ X0 @ '#sk4' )
      = X0 ),
    inference('sup+',[status(thm)],[zip_derived_cl62,zip_derived_cl40]) ).

thf(zip_derived_cl2566,plain,
    ( '#sk6'
    = ( '#sk1' @ '#sk6' @ '#sk8' ) ),
    inference(demod,[status(thm)],[zip_derived_cl2522,zip_derived_cl160]) ).

thf(zip_derived_cl2814,plain,
    '#sk6' = '#sk8',
    inference('sup+',[status(thm)],[zip_derived_cl2607,zip_derived_cl2566]) ).

thf(zip_derived_cl66,plain,
    '#sk6' != '#sk8',
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl54]) ).

thf(zip_derived_cl77,plain,
    '#sk6' != '#sk8',
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl66]) ).

thf(zip_derived_cl2862,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl2814,zip_derived_cl77]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : SEU997^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.08  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.R3LP0ZMu3f true
% 0.08/0.27  % Computer : n032.cluster.edu
% 0.08/0.27  % Model    : x86_64 x86_64
% 0.08/0.27  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.27  % Memory   : 8042.1875MB
% 0.08/0.27  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.27  % CPULimit : 300
% 0.08/0.27  % WCLimit  : 300
% 0.08/0.27  % DateTime : Thu Aug 24 01:21:26 EDT 2023
% 0.08/0.27  % CPUTime  : 
% 0.08/0.27  % Running portfolio for 300 s
% 0.08/0.27  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.28  % Number of cores: 8
% 0.08/0.28  % Python version: Python 3.6.8
% 0.08/0.28  % Running in HO mode
% 0.12/0.45  % Total configuration time : 828
% 0.12/0.45  % Estimated wc time : 1656
% 0.12/0.45  % Estimated cpu time (8 cpus) : 207.0
% 0.12/0.53  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.12/0.54  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.12/0.54  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.12/0.55  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.12/0.60  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.12/0.61  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.12/0.61  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.12/0.61  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 3.36/1.13  % Solved by lams/35_full_unif4.sh.
% 3.36/1.13  % done 644 iterations in 0.511s
% 3.36/1.13  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 3.36/1.13  % SZS output start Refutation
% See solution above
% 3.36/1.14  
% 3.36/1.14  
% 3.36/1.14  % Terminating...
% 3.81/1.25  % Runner terminated.
% 3.81/1.26  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------