TSTP Solution File: SEV246^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV246^5 : 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.z4jVG6HPkU true

% Computer : n019.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 20:00:11 EDT 2023

% Result   : Theorem 52.59s 7.45s
% Output   : Refutation 52.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   74 (  10 unt;   7 typ;   0 def)
%            Number of atoms       :  407 (   8 equ;   0 cnn)
%            Maximal formula atoms :   14 (   6 avg)
%            Number of connectives : 1364 (  56   ~;  66   |;  68   &; 850   @)
%                                         (   0 <=>; 145  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (  13 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  160 ( 160   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   7 usr;   4 con; 0-2 aty)
%                                         ( 118  !!;  61  ??;   0 @@+;   0 @@-)
%            Number of variables   :  329 ( 220   ^; 105   !;   4   ?; 329   :)

% Comments : 
%------------------------------------------------------------------------------
thf('#sk2_type',type,
    '#sk2': $i ).

thf('#sk498_type',type,
    '#sk498': ( $i > $o ) > $i ).

thf('#sk13_type',type,
    '#sk13': ( $i > $o ) > ( $i > $o ) > $i ).

thf('#l_lift4759_type',type,
    '#l_lift4759': $i > $o ).

thf('#sk565_type',type,
    '#sk565': ( $i > $o ) > $i ).

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

thf('#sk571_type',type,
    '#sk571': ( $i > $o ) > $i > $o ).

thf(cTHM2A_ONE_pme,conjecture,
    ! [K: ( $i > $o ) > $i > $o] :
      ( ! [Xx: $i > $o,Xy: $i > $o] :
          ( ! [Xx0: $i] :
              ( ( Xx @ Xx0 )
             => ( Xy @ Xx0 ) )
         => ! [Xx0: $i] :
              ( ( K @ Xx @ Xx0 )
             => ( K @ Xy @ Xx0 ) ) )
     => ! [Xx: $i] :
          ( ( K
            @ ^ [Xx0: $i] :
              ? [S: $i > $o] :
                ( ! [Xx1: $i] :
                    ( ( S @ Xx1 )
                   => ( K @ S @ Xx1 ) )
                & ( S @ Xx0 ) )
            @ Xx )
         => ? [S: $i > $o] :
              ( ! [Xx0: $i] :
                  ( ( S @ Xx0 )
                 => ( K @ S @ Xx0 ) )
              & ( S @ Xx ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [K: ( $i > $o ) > $i > $o] :
        ( ! [Xx: $i > $o,Xy: $i > $o] :
            ( ! [Xx0: $i] :
                ( ( Xx @ Xx0 )
               => ( Xy @ Xx0 ) )
           => ! [Xx0: $i] :
                ( ( K @ Xx @ Xx0 )
               => ( K @ Xy @ Xx0 ) ) )
       => ! [Xx: $i] :
            ( ( K
              @ ^ [Xx0: $i] :
                ? [S: $i > $o] :
                  ( ! [Xx1: $i] :
                      ( ( S @ Xx1 )
                     => ( K @ S @ Xx1 ) )
                  & ( S @ Xx0 ) )
              @ Xx )
           => ? [S: $i > $o] :
                ( ! [Xx0: $i] :
                    ( ( S @ Xx0 )
                   => ( K @ S @ Xx0 ) )
                & ( S @ Xx ) ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM2A_ONE_pme]) ).

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

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

thf(zip_derived_cl3,plain,
    ~ ( !!
      @ ^ [Y0: $i] :
          ( ( '#sk1'
            @ ^ [Y1: $i] :
                ( ??
                @ ^ [Y2: $i > $o] :
                    ( ( !!
                      @ ^ [Y3: $i] :
                          ( ( Y2 @ Y3 )
                         => ( '#sk1' @ Y2 @ Y3 ) ) )
                    & ( Y2 @ Y1 ) ) )
            @ Y0 )
         => ( ??
            @ ^ [Y1: $i > $o] :
                ( ( !!
                  @ ^ [Y2: $i] :
                      ( ( Y1 @ Y2 )
                     => ( '#sk1' @ Y1 @ Y2 ) ) )
                & ( Y1 @ Y0 ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl5,plain,
    ~ ( ( '#sk1'
        @ ^ [Y0: $i] :
            ( ??
            @ ^ [Y1: $i > $o] :
                ( ( !!
                  @ ^ [Y2: $i] :
                      ( ( Y1 @ Y2 )
                     => ( '#sk1' @ Y1 @ Y2 ) ) )
                & ( Y1 @ Y0 ) ) )
        @ '#sk2' )
     => ( ??
        @ ^ [Y0: $i > $o] :
            ( ( !!
              @ ^ [Y1: $i] :
                  ( ( Y0 @ Y1 )
                 => ( '#sk1' @ Y0 @ Y1 ) ) )
            & ( Y0 @ '#sk2' ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl7,plain,
    ( '#sk1'
    @ ^ [Y0: $i] :
        ( ??
        @ ^ [Y1: $i > $o] :
            ( ( !!
              @ ^ [Y2: $i] :
                  ( ( Y1 @ Y2 )
                 => ( '#sk1' @ Y1 @ Y2 ) ) )
            & ( Y1 @ Y0 ) ) )
    @ '#sk2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl7_001,plain,
    ( '#sk1'
    @ ^ [Y0: $i] :
        ( ??
        @ ^ [Y1: $i > $o] :
            ( ( !!
              @ ^ [Y2: $i] :
                  ( ( Y1 @ Y2 )
                 => ( '#sk1' @ Y1 @ Y2 ) ) )
            & ( Y1 @ Y0 ) ) )
    @ '#sk2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl2065,plain,
    ! [X1: $i] :
      ( ( '#l_lift4759' @ X1 )
      = ( ??
        @ ^ [Y0: $i > $o] :
            ( ( !!
              @ ^ [Y1: $i] :
                  ( ( Y0 @ Y1 )
                 => ( '#sk1' @ Y0 @ Y1 ) ) )
            & ( Y0 @ X1 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl2066,plain,
    '#sk1' @ '#l_lift4759' @ '#sk2',
    inference(lambda_lifting,[status(thm)],[zip_derived_cl7,zip_derived_cl2065]) ).

thf(zip_derived_cl8,plain,
    ~ ( ??
      @ ^ [Y0: $i > $o] :
          ( ( !!
            @ ^ [Y1: $i] :
                ( ( Y0 @ Y1 )
               => ( '#sk1' @ Y0 @ Y1 ) ) )
          & ( Y0 @ '#sk2' ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl10,plain,
    ! [X2: $i > $o] :
      ~ ( ( !!
          @ ^ [Y0: $i] :
              ( ( X2 @ Y0 )
             => ( '#sk1' @ X2 @ Y0 ) ) )
        & ( X2 @ '#sk2' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl12,plain,
    ! [X2: $i > $o] :
      ( ~ ( !!
          @ ^ [Y0: $i] :
              ( ( X2 @ Y0 )
             => ( '#sk1' @ X2 @ Y0 ) ) )
      | ~ ( X2 @ '#sk2' ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl15,plain,
    ! [X2: $i > $o] :
      ( ~ ( ( X2 @ ( '#sk13' @ X2 @ ( '#sk1' @ X2 ) ) )
         => ( '#sk1' @ X2 @ ( '#sk13' @ X2 @ ( '#sk1' @ X2 ) ) ) )
      | ~ ( X2 @ '#sk2' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl19,plain,
    ! [X2: $i > $o] :
      ( ~ ( '#sk1' @ X2 @ ( '#sk13' @ X2 @ ( '#sk1' @ X2 ) ) )
      | ~ ( X2 @ '#sk2' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl2,plain,
    ( !!
    @ ^ [Y0: $i > $o] :
        ( !!
        @ ^ [Y1: $i > $o] :
            ( ( !!
              @ ^ [Y2: $i] :
                  ( ( Y0 @ Y2 )
                 => ( Y1 @ Y2 ) ) )
           => ( !!
              @ ^ [Y2: $i] :
                  ( ( '#sk1' @ Y0 @ Y2 )
                 => ( '#sk1' @ Y1 @ Y2 ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl4,plain,
    ! [X2: $i > $o] :
      ( !!
      @ ^ [Y0: $i > $o] :
          ( ( !!
            @ ^ [Y1: $i] :
                ( ( X2 @ Y1 )
               => ( Y0 @ Y1 ) ) )
         => ( !!
            @ ^ [Y1: $i] :
                ( ( '#sk1' @ X2 @ Y1 )
               => ( '#sk1' @ Y0 @ Y1 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl24,plain,
    ( !!
    @ ^ [Y0: $i > $o] :
        ( ( !!
          @ ^ [Y1: $i] :
              ( ( ??
                @ ^ [Y2: $i > $o] :
                    ( ( !!
                      @ ^ [Y3: $i] :
                          ( ( Y2 @ Y3 )
                         => ( '#sk1' @ Y2 @ Y3 ) ) )
                    & ( Y2 @ Y1 ) ) )
             => ( Y0 @ Y1 ) ) )
       => ( !!
          @ ^ [Y1: $i] :
              ( ( '#sk1'
                @ ^ [Y2: $i] :
                    ( ??
                    @ ^ [Y3: $i > $o] :
                        ( ( !!
                          @ ^ [Y4: $i] :
                              ( ( Y3 @ Y4 )
                             => ( '#sk1' @ Y3 @ Y4 ) ) )
                        & ( Y3 @ Y2 ) ) )
                @ Y1 )
             => ( '#sk1' @ Y0 @ Y1 ) ) ) ) ),
    inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl206,plain,
    ! [X2: $i > $o] :
      ( ( !!
        @ ^ [Y0: $i] :
            ( ( ??
              @ ^ [Y1: $i > $o] :
                  ( ( !!
                    @ ^ [Y2: $i] :
                        ( ( Y1 @ Y2 )
                       => ( '#sk1' @ Y1 @ Y2 ) ) )
                  & ( Y1 @ Y0 ) ) )
           => ( X2 @ Y0 ) ) )
     => ( !!
        @ ^ [Y0: $i] :
            ( ( '#sk1'
              @ ^ [Y1: $i] :
                  ( ??
                  @ ^ [Y2: $i > $o] :
                      ( ( !!
                        @ ^ [Y3: $i] :
                            ( ( Y2 @ Y3 )
                           => ( '#sk1' @ Y2 @ Y3 ) ) )
                      & ( Y2 @ Y1 ) ) )
              @ Y0 )
           => ( '#sk1' @ X2 @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl24]) ).

thf(zip_derived_cl209,plain,
    ! [X2: $i > $o] :
      ( ~ ( !!
          @ ^ [Y0: $i] :
              ( ( ??
                @ ^ [Y1: $i > $o] :
                    ( ( !!
                      @ ^ [Y2: $i] :
                          ( ( Y1 @ Y2 )
                         => ( '#sk1' @ Y1 @ Y2 ) ) )
                    & ( Y1 @ Y0 ) ) )
             => ( X2 @ Y0 ) ) )
      | ( !!
        @ ^ [Y0: $i] :
            ( ( '#sk1'
              @ ^ [Y1: $i] :
                  ( ??
                  @ ^ [Y2: $i > $o] :
                      ( ( !!
                        @ ^ [Y3: $i] :
                            ( ( Y2 @ Y3 )
                           => ( '#sk1' @ Y2 @ Y3 ) ) )
                      & ( Y2 @ Y1 ) ) )
              @ Y0 )
           => ( '#sk1' @ X2 @ Y0 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl206]) ).

thf(zip_derived_cl210,plain,
    ! [X2: $i > $o] :
      ( ~ ( ( ??
            @ ^ [Y0: $i > $o] :
                ( ( !!
                  @ ^ [Y1: $i] :
                      ( ( Y0 @ Y1 )
                     => ( '#sk1' @ Y0 @ Y1 ) ) )
                & ( Y0 @ ( '#sk565' @ X2 ) ) ) )
         => ( X2 @ ( '#sk565' @ X2 ) ) )
      | ( !!
        @ ^ [Y0: $i] :
            ( ( '#sk1'
              @ ^ [Y1: $i] :
                  ( ??
                  @ ^ [Y2: $i > $o] :
                      ( ( !!
                        @ ^ [Y3: $i] :
                            ( ( Y2 @ Y3 )
                           => ( '#sk1' @ Y2 @ Y3 ) ) )
                      & ( Y2 @ Y1 ) ) )
              @ Y0 )
           => ( '#sk1' @ X2 @ Y0 ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl209]) ).

thf(zip_derived_cl211,plain,
    ! [X2: $i > $o] :
      ( ( ??
        @ ^ [Y0: $i > $o] :
            ( ( !!
              @ ^ [Y1: $i] :
                  ( ( Y0 @ Y1 )
                 => ( '#sk1' @ Y0 @ Y1 ) ) )
            & ( Y0 @ ( '#sk565' @ X2 ) ) ) )
      | ( !!
        @ ^ [Y0: $i] :
            ( ( '#sk1'
              @ ^ [Y1: $i] :
                  ( ??
                  @ ^ [Y2: $i > $o] :
                      ( ( !!
                        @ ^ [Y3: $i] :
                            ( ( Y2 @ Y3 )
                           => ( '#sk1' @ Y2 @ Y3 ) ) )
                      & ( Y2 @ Y1 ) ) )
              @ Y0 )
           => ( '#sk1' @ X2 @ Y0 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl210]) ).

thf(zip_derived_cl213,plain,
    ! [X2: $i > $o] :
      ( ( ( !!
          @ ^ [Y0: $i] :
              ( ( '#sk571' @ X2 @ Y0 )
             => ( '#sk1' @ ( '#sk571' @ X2 ) @ Y0 ) ) )
        & ( '#sk571' @ X2 @ ( '#sk565' @ X2 ) ) )
      | ( !!
        @ ^ [Y0: $i] :
            ( ( '#sk1'
              @ ^ [Y1: $i] :
                  ( ??
                  @ ^ [Y2: $i > $o] :
                      ( ( !!
                        @ ^ [Y3: $i] :
                            ( ( Y2 @ Y3 )
                           => ( '#sk1' @ Y2 @ Y3 ) ) )
                      & ( Y2 @ Y1 ) ) )
              @ Y0 )
           => ( '#sk1' @ X2 @ Y0 ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl211]) ).

thf(zip_derived_cl216,plain,
    ! [X2: $i > $o] :
      ( ( '#sk571' @ X2 @ ( '#sk565' @ X2 ) )
      | ( !!
        @ ^ [Y0: $i] :
            ( ( '#sk1'
              @ ^ [Y1: $i] :
                  ( ??
                  @ ^ [Y2: $i > $o] :
                      ( ( !!
                        @ ^ [Y3: $i] :
                            ( ( Y2 @ Y3 )
                           => ( '#sk1' @ Y2 @ Y3 ) ) )
                      & ( Y2 @ Y1 ) ) )
              @ Y0 )
           => ( '#sk1' @ X2 @ Y0 ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl213]) ).

thf(zip_derived_cl219,plain,
    ! [X2: $i > $o,X4: $i] :
      ( ( ( '#sk1'
          @ ^ [Y0: $i] :
              ( ??
              @ ^ [Y1: $i > $o] :
                  ( ( !!
                    @ ^ [Y2: $i] :
                        ( ( Y1 @ Y2 )
                       => ( '#sk1' @ Y1 @ Y2 ) ) )
                  & ( Y1 @ Y0 ) ) )
          @ X4 )
       => ( '#sk1' @ X2 @ X4 ) )
      | ( '#sk571' @ X2 @ ( '#sk565' @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl216]) ).

thf(zip_derived_cl221,plain,
    ! [X2: $i > $o,X4: $i] :
      ( ~ ( '#sk1'
          @ ^ [Y0: $i] :
              ( ??
              @ ^ [Y1: $i > $o] :
                  ( ( !!
                    @ ^ [Y2: $i] :
                        ( ( Y1 @ Y2 )
                       => ( '#sk1' @ Y1 @ Y2 ) ) )
                  & ( Y1 @ Y0 ) ) )
          @ X4 )
      | ( '#sk1' @ X2 @ X4 )
      | ( '#sk571' @ X2 @ ( '#sk565' @ X2 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl219]) ).

thf(zip_derived_cl2065_002,plain,
    ! [X1: $i] :
      ( ( '#l_lift4759' @ X1 )
      = ( ??
        @ ^ [Y0: $i > $o] :
            ( ( !!
              @ ^ [Y1: $i] :
                  ( ( Y0 @ Y1 )
                 => ( '#sk1' @ Y0 @ Y1 ) ) )
            & ( Y0 @ X1 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl2071,plain,
    ! [X2: $i > $o,X4: $i] :
      ( ~ ( '#sk1' @ '#l_lift4759' @ X4 )
      | ( '#sk1' @ X2 @ X4 )
      | ( '#sk571' @ X2 @ ( '#sk565' @ X2 ) ) ),
    inference(lambda_lifting,[status(thm)],[zip_derived_cl221,zip_derived_cl2065]) ).

thf(zip_derived_cl215,plain,
    ! [X2: $i > $o] :
      ( ( !!
        @ ^ [Y0: $i] :
            ( ( '#sk571' @ X2 @ Y0 )
           => ( '#sk1' @ ( '#sk571' @ X2 ) @ Y0 ) ) )
      | ( !!
        @ ^ [Y0: $i] :
            ( ( '#sk1'
              @ ^ [Y1: $i] :
                  ( ??
                  @ ^ [Y2: $i > $o] :
                      ( ( !!
                        @ ^ [Y3: $i] :
                            ( ( Y2 @ Y3 )
                           => ( '#sk1' @ Y2 @ Y3 ) ) )
                      & ( Y2 @ Y1 ) ) )
              @ Y0 )
           => ( '#sk1' @ X2 @ Y0 ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl213]) ).

thf(zip_derived_cl218,plain,
    ! [X2: $i > $o,X4: $i] :
      ( ( ( '#sk571' @ X2 @ X4 )
       => ( '#sk1' @ ( '#sk571' @ X2 ) @ X4 ) )
      | ( !!
        @ ^ [Y0: $i] :
            ( ( '#sk1'
              @ ^ [Y1: $i] :
                  ( ??
                  @ ^ [Y2: $i > $o] :
                      ( ( !!
                        @ ^ [Y3: $i] :
                            ( ( Y2 @ Y3 )
                           => ( '#sk1' @ Y2 @ Y3 ) ) )
                      & ( Y2 @ Y1 ) ) )
              @ Y0 )
           => ( '#sk1' @ X2 @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl215]) ).

thf(zip_derived_cl220,plain,
    ! [X2: $i > $o,X4: $i] :
      ( ~ ( '#sk571' @ X2 @ X4 )
      | ( '#sk1' @ ( '#sk571' @ X2 ) @ X4 )
      | ( !!
        @ ^ [Y0: $i] :
            ( ( '#sk1'
              @ ^ [Y1: $i] :
                  ( ??
                  @ ^ [Y2: $i > $o] :
                      ( ( !!
                        @ ^ [Y3: $i] :
                            ( ( Y2 @ Y3 )
                           => ( '#sk1' @ Y2 @ Y3 ) ) )
                      & ( Y2 @ Y1 ) ) )
              @ Y0 )
           => ( '#sk1' @ X2 @ Y0 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl218]) ).

thf(zip_derived_cl222,plain,
    ! [X2: $i > $o,X4: $i,X6: $i] :
      ( ( ( '#sk1'
          @ ^ [Y0: $i] :
              ( ??
              @ ^ [Y1: $i > $o] :
                  ( ( !!
                    @ ^ [Y2: $i] :
                        ( ( Y1 @ Y2 )
                       => ( '#sk1' @ Y1 @ Y2 ) ) )
                  & ( Y1 @ Y0 ) ) )
          @ X6 )
       => ( '#sk1' @ X2 @ X6 ) )
      | ( '#sk1' @ ( '#sk571' @ X2 ) @ X4 )
      | ~ ( '#sk571' @ X2 @ X4 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl220]) ).

thf(zip_derived_cl223,plain,
    ! [X2: $i > $o,X4: $i,X6: $i] :
      ( ~ ( '#sk1'
          @ ^ [Y0: $i] :
              ( ??
              @ ^ [Y1: $i > $o] :
                  ( ( !!
                    @ ^ [Y2: $i] :
                        ( ( Y1 @ Y2 )
                       => ( '#sk1' @ Y1 @ Y2 ) ) )
                  & ( Y1 @ Y0 ) ) )
          @ X6 )
      | ( '#sk1' @ X2 @ X6 )
      | ~ ( '#sk571' @ X2 @ X4 )
      | ( '#sk1' @ ( '#sk571' @ X2 ) @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl222]) ).

thf(zip_derived_cl2065_003,plain,
    ! [X1: $i] :
      ( ( '#l_lift4759' @ X1 )
      = ( ??
        @ ^ [Y0: $i > $o] :
            ( ( !!
              @ ^ [Y1: $i] :
                  ( ( Y0 @ Y1 )
                 => ( '#sk1' @ Y0 @ Y1 ) ) )
            & ( Y0 @ X1 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl2072,plain,
    ! [X2: $i > $o,X4: $i,X6: $i] :
      ( ~ ( '#sk1' @ '#l_lift4759' @ X6 )
      | ( '#sk1' @ X2 @ X6 )
      | ~ ( '#sk571' @ X2 @ X4 )
      | ( '#sk1' @ ( '#sk571' @ X2 ) @ X4 ) ),
    inference(lambda_lifting,[status(thm)],[zip_derived_cl223,zip_derived_cl2065]) ).

thf(zip_derived_cl18,plain,
    ! [X2: $i > $o] :
      ( ( X2 @ ( '#sk13' @ X2 @ ( '#sk1' @ X2 ) ) )
      | ~ ( X2 @ '#sk2' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl212,plain,
    ! [X2: $i > $o] :
      ( ~ ( X2 @ ( '#sk565' @ X2 ) )
      | ( !!
        @ ^ [Y0: $i] :
            ( ( '#sk1'
              @ ^ [Y1: $i] :
                  ( ??
                  @ ^ [Y2: $i > $o] :
                      ( ( !!
                        @ ^ [Y3: $i] :
                            ( ( Y2 @ Y3 )
                           => ( '#sk1' @ Y2 @ Y3 ) ) )
                      & ( Y2 @ Y1 ) ) )
              @ Y0 )
           => ( '#sk1' @ X2 @ Y0 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl210]) ).

thf(zip_derived_cl214,plain,
    ! [X2: $i > $o,X4: $i] :
      ( ( ( '#sk1'
          @ ^ [Y0: $i] :
              ( ??
              @ ^ [Y1: $i > $o] :
                  ( ( !!
                    @ ^ [Y2: $i] :
                        ( ( Y1 @ Y2 )
                       => ( '#sk1' @ Y1 @ Y2 ) ) )
                  & ( Y1 @ Y0 ) ) )
          @ X4 )
       => ( '#sk1' @ X2 @ X4 ) )
      | ~ ( X2 @ ( '#sk565' @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl212]) ).

thf(zip_derived_cl217,plain,
    ! [X2: $i > $o,X4: $i] :
      ( ~ ( '#sk1'
          @ ^ [Y0: $i] :
              ( ??
              @ ^ [Y1: $i > $o] :
                  ( ( !!
                    @ ^ [Y2: $i] :
                        ( ( Y1 @ Y2 )
                       => ( '#sk1' @ Y1 @ Y2 ) ) )
                  & ( Y1 @ Y0 ) ) )
          @ X4 )
      | ( '#sk1' @ X2 @ X4 )
      | ~ ( X2 @ ( '#sk565' @ X2 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl214]) ).

thf(zip_derived_cl2065_004,plain,
    ! [X1: $i] :
      ( ( '#l_lift4759' @ X1 )
      = ( ??
        @ ^ [Y0: $i > $o] :
            ( ( !!
              @ ^ [Y1: $i] :
                  ( ( Y0 @ Y1 )
                 => ( '#sk1' @ Y0 @ Y1 ) ) )
            & ( Y0 @ X1 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl2070,plain,
    ! [X2: $i > $o,X4: $i] :
      ( ~ ( '#sk1' @ '#l_lift4759' @ X4 )
      | ( '#sk1' @ X2 @ X4 )
      | ~ ( X2 @ ( '#sk565' @ X2 ) ) ),
    inference(lambda_lifting,[status(thm)],[zip_derived_cl217,zip_derived_cl2065]) ).

thf(zip_derived_cl2065_005,plain,
    ! [X1: $i] :
      ( ( '#l_lift4759' @ X1 )
      = ( ??
        @ ^ [Y0: $i > $o] :
            ( ( !!
              @ ^ [Y1: $i] :
                  ( ( Y0 @ Y1 )
                 => ( '#sk1' @ Y0 @ Y1 ) ) )
            & ( Y0 @ X1 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl4_006,plain,
    ! [X2: $i > $o] :
      ( !!
      @ ^ [Y0: $i > $o] :
          ( ( !!
            @ ^ [Y1: $i] :
                ( ( X2 @ Y1 )
               => ( Y0 @ Y1 ) ) )
         => ( !!
            @ ^ [Y1: $i] :
                ( ( '#sk1' @ X2 @ Y1 )
               => ( '#sk1' @ Y0 @ Y1 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl6,plain,
    ! [X2: $i > $o,X4: $i > $o] :
      ( ( !!
        @ ^ [Y0: $i] :
            ( ( X2 @ Y0 )
           => ( X4 @ Y0 ) ) )
     => ( !!
        @ ^ [Y0: $i] :
            ( ( '#sk1' @ X2 @ Y0 )
           => ( '#sk1' @ X4 @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl23,plain,
    ! [X0: $i > $o] :
      ( ( !!
        @ ^ [Y0: $i] :
            ( ( X0 @ Y0 )
           => ( ??
              @ ^ [Y1: $i > $o] :
                  ( ( !!
                    @ ^ [Y2: $i] :
                        ( ( Y1 @ Y2 )
                       => ( '#sk1' @ Y1 @ Y2 ) ) )
                  & ( Y1 @ Y0 ) ) ) ) )
     => ( !!
        @ ^ [Y0: $i] :
            ( ( '#sk1' @ X0 @ Y0 )
           => ( '#sk1'
              @ ^ [Y1: $i] :
                  ( ??
                  @ ^ [Y2: $i > $o] :
                      ( ( !!
                        @ ^ [Y3: $i] :
                            ( ( Y2 @ Y3 )
                           => ( '#sk1' @ Y2 @ Y3 ) ) )
                      & ( Y2 @ Y1 ) ) )
              @ Y0 ) ) ) ),
    inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl189,plain,
    ! [X0: $i > $o] :
      ( ~ ( !!
          @ ^ [Y0: $i] :
              ( ( X0 @ Y0 )
             => ( ??
                @ ^ [Y1: $i > $o] :
                    ( ( !!
                      @ ^ [Y2: $i] :
                          ( ( Y1 @ Y2 )
                         => ( '#sk1' @ Y1 @ Y2 ) ) )
                    & ( Y1 @ Y0 ) ) ) ) )
      | ( !!
        @ ^ [Y0: $i] :
            ( ( '#sk1' @ X0 @ Y0 )
           => ( '#sk1'
              @ ^ [Y1: $i] :
                  ( ??
                  @ ^ [Y2: $i > $o] :
                      ( ( !!
                        @ ^ [Y3: $i] :
                            ( ( Y2 @ Y3 )
                           => ( '#sk1' @ Y2 @ Y3 ) ) )
                      & ( Y2 @ Y1 ) ) )
              @ Y0 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl190,plain,
    ! [X0: $i > $o] :
      ( ~ ( ( X0 @ ( '#sk498' @ X0 ) )
         => ( ??
            @ ^ [Y0: $i > $o] :
                ( ( !!
                  @ ^ [Y1: $i] :
                      ( ( Y0 @ Y1 )
                     => ( '#sk1' @ Y0 @ Y1 ) ) )
                & ( Y0 @ ( '#sk498' @ X0 ) ) ) ) )
      | ( !!
        @ ^ [Y0: $i] :
            ( ( '#sk1' @ X0 @ Y0 )
           => ( '#sk1'
              @ ^ [Y1: $i] :
                  ( ??
                  @ ^ [Y2: $i > $o] :
                      ( ( !!
                        @ ^ [Y3: $i] :
                            ( ( Y2 @ Y3 )
                           => ( '#sk1' @ Y2 @ Y3 ) ) )
                      & ( Y2 @ Y1 ) ) )
              @ Y0 ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl189]) ).

thf(zip_derived_cl192,plain,
    ! [X0: $i > $o] :
      ( ~ ( ??
          @ ^ [Y0: $i > $o] :
              ( ( !!
                @ ^ [Y1: $i] :
                    ( ( Y0 @ Y1 )
                   => ( '#sk1' @ Y0 @ Y1 ) ) )
              & ( Y0 @ ( '#sk498' @ X0 ) ) ) )
      | ( !!
        @ ^ [Y0: $i] :
            ( ( '#sk1' @ X0 @ Y0 )
           => ( '#sk1'
              @ ^ [Y1: $i] :
                  ( ??
                  @ ^ [Y2: $i > $o] :
                      ( ( !!
                        @ ^ [Y3: $i] :
                            ( ( Y2 @ Y3 )
                           => ( '#sk1' @ Y2 @ Y3 ) ) )
                      & ( Y2 @ Y1 ) ) )
              @ Y0 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl190]) ).

thf(zip_derived_cl194,plain,
    ! [X0: $i > $o,X2: $i > $o] :
      ( ~ ( ( !!
            @ ^ [Y0: $i] :
                ( ( X2 @ Y0 )
               => ( '#sk1' @ X2 @ Y0 ) ) )
          & ( X2 @ ( '#sk498' @ X0 ) ) )
      | ( !!
        @ ^ [Y0: $i] :
            ( ( '#sk1' @ X0 @ Y0 )
           => ( '#sk1'
              @ ^ [Y1: $i] :
                  ( ??
                  @ ^ [Y2: $i > $o] :
                      ( ( !!
                        @ ^ [Y3: $i] :
                            ( ( Y2 @ Y3 )
                           => ( '#sk1' @ Y2 @ Y3 ) ) )
                      & ( Y2 @ Y1 ) ) )
              @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl192]) ).

thf(zip_derived_cl198,plain,
    ! [X0: $i > $o,X2: $i > $o] :
      ( ~ ( !!
          @ ^ [Y0: $i] :
              ( ( X2 @ Y0 )
             => ( '#sk1' @ X2 @ Y0 ) ) )
      | ~ ( X2 @ ( '#sk498' @ X0 ) )
      | ( !!
        @ ^ [Y0: $i] :
            ( ( '#sk1' @ X0 @ Y0 )
           => ( '#sk1'
              @ ^ [Y1: $i] :
                  ( ??
                  @ ^ [Y2: $i > $o] :
                      ( ( !!
                        @ ^ [Y3: $i] :
                            ( ( Y2 @ Y3 )
                           => ( '#sk1' @ Y2 @ Y3 ) ) )
                      & ( Y2 @ Y1 ) ) )
              @ Y0 ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl194]) ).

thf(zip_derived_cl199,plain,
    ! [X0: $i > $o,X2: $i > $o] :
      ( ~ ( ( X2 @ ( '#sk13' @ X2 @ ( '#sk1' @ X2 ) ) )
         => ( '#sk1' @ X2 @ ( '#sk13' @ X2 @ ( '#sk1' @ X2 ) ) ) )
      | ( !!
        @ ^ [Y0: $i] :
            ( ( '#sk1' @ X0 @ Y0 )
           => ( '#sk1'
              @ ^ [Y1: $i] :
                  ( ??
                  @ ^ [Y2: $i > $o] :
                      ( ( !!
                        @ ^ [Y3: $i] :
                            ( ( Y2 @ Y3 )
                           => ( '#sk1' @ Y2 @ Y3 ) ) )
                      & ( Y2 @ Y1 ) ) )
              @ Y0 ) ) )
      | ~ ( X2 @ ( '#sk498' @ X0 ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl198]) ).

thf(zip_derived_cl200,plain,
    ! [X0: $i > $o,X2: $i > $o] :
      ( ( X2 @ ( '#sk13' @ X2 @ ( '#sk1' @ X2 ) ) )
      | ~ ( X2 @ ( '#sk498' @ X0 ) )
      | ( !!
        @ ^ [Y0: $i] :
            ( ( '#sk1' @ X0 @ Y0 )
           => ( '#sk1'
              @ ^ [Y1: $i] :
                  ( ??
                  @ ^ [Y2: $i > $o] :
                      ( ( !!
                        @ ^ [Y3: $i] :
                            ( ( Y2 @ Y3 )
                           => ( '#sk1' @ Y2 @ Y3 ) ) )
                      & ( Y2 @ Y1 ) ) )
              @ Y0 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl199]) ).

thf(zip_derived_cl202,plain,
    ! [X0: $i > $o,X2: $i > $o,X4: $i] :
      ( ( ( '#sk1' @ X0 @ X4 )
       => ( '#sk1'
          @ ^ [Y0: $i] :
              ( ??
              @ ^ [Y1: $i > $o] :
                  ( ( !!
                    @ ^ [Y2: $i] :
                        ( ( Y1 @ Y2 )
                       => ( '#sk1' @ Y1 @ Y2 ) ) )
                  & ( Y1 @ Y0 ) ) )
          @ X4 ) )
      | ~ ( X2 @ ( '#sk498' @ X0 ) )
      | ( X2 @ ( '#sk13' @ X2 @ ( '#sk1' @ X2 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl200]) ).

thf(zip_derived_cl204,plain,
    ! [X0: $i > $o,X2: $i > $o,X4: $i] :
      ( ~ ( '#sk1' @ X0 @ X4 )
      | ( '#sk1'
        @ ^ [Y0: $i] :
            ( ??
            @ ^ [Y1: $i > $o] :
                ( ( !!
                  @ ^ [Y2: $i] :
                      ( ( Y1 @ Y2 )
                     => ( '#sk1' @ Y1 @ Y2 ) ) )
                & ( Y1 @ Y0 ) ) )
        @ X4 )
      | ( X2 @ ( '#sk13' @ X2 @ ( '#sk1' @ X2 ) ) )
      | ~ ( X2 @ ( '#sk498' @ X0 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl202]) ).

thf(zip_derived_cl2065_007,plain,
    ! [X1: $i] :
      ( ( '#l_lift4759' @ X1 )
      = ( ??
        @ ^ [Y0: $i > $o] :
            ( ( !!
              @ ^ [Y1: $i] :
                  ( ( Y0 @ Y1 )
                 => ( '#sk1' @ Y0 @ Y1 ) ) )
            & ( Y0 @ X1 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl2068,plain,
    ! [X0: $i > $o,X2: $i > $o,X4: $i] :
      ( ~ ( '#sk1' @ X0 @ X4 )
      | ( '#sk1' @ '#l_lift4759' @ X4 )
      | ( X2 @ ( '#sk13' @ X2 @ ( '#sk1' @ X2 ) ) )
      | ~ ( X2 @ ( '#sk498' @ X0 ) ) ),
    inference(lambda_lifting,[status(thm)],[zip_derived_cl204,zip_derived_cl2065]) ).

thf(zip_derived_cl201,plain,
    ! [X0: $i > $o,X2: $i > $o] :
      ( ~ ( '#sk1' @ X2 @ ( '#sk13' @ X2 @ ( '#sk1' @ X2 ) ) )
      | ~ ( X2 @ ( '#sk498' @ X0 ) )
      | ( !!
        @ ^ [Y0: $i] :
            ( ( '#sk1' @ X0 @ Y0 )
           => ( '#sk1'
              @ ^ [Y1: $i] :
                  ( ??
                  @ ^ [Y2: $i > $o] :
                      ( ( !!
                        @ ^ [Y3: $i] :
                            ( ( Y2 @ Y3 )
                           => ( '#sk1' @ Y2 @ Y3 ) ) )
                      & ( Y2 @ Y1 ) ) )
              @ Y0 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl199]) ).

thf(zip_derived_cl203,plain,
    ! [X0: $i > $o,X2: $i > $o,X4: $i] :
      ( ( ( '#sk1' @ X0 @ X4 )
       => ( '#sk1'
          @ ^ [Y0: $i] :
              ( ??
              @ ^ [Y1: $i > $o] :
                  ( ( !!
                    @ ^ [Y2: $i] :
                        ( ( Y1 @ Y2 )
                       => ( '#sk1' @ Y1 @ Y2 ) ) )
                  & ( Y1 @ Y0 ) ) )
          @ X4 ) )
      | ~ ( X2 @ ( '#sk498' @ X0 ) )
      | ~ ( '#sk1' @ X2 @ ( '#sk13' @ X2 @ ( '#sk1' @ X2 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl201]) ).

thf(zip_derived_cl205,plain,
    ! [X0: $i > $o,X2: $i > $o,X4: $i] :
      ( ~ ( '#sk1' @ X0 @ X4 )
      | ( '#sk1'
        @ ^ [Y0: $i] :
            ( ??
            @ ^ [Y1: $i > $o] :
                ( ( !!
                  @ ^ [Y2: $i] :
                      ( ( Y1 @ Y2 )
                     => ( '#sk1' @ Y1 @ Y2 ) ) )
                & ( Y1 @ Y0 ) ) )
        @ X4 )
      | ~ ( '#sk1' @ X2 @ ( '#sk13' @ X2 @ ( '#sk1' @ X2 ) ) )
      | ~ ( X2 @ ( '#sk498' @ X0 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl203]) ).

thf(zip_derived_cl2065_008,plain,
    ! [X1: $i] :
      ( ( '#l_lift4759' @ X1 )
      = ( ??
        @ ^ [Y0: $i > $o] :
            ( ( !!
              @ ^ [Y1: $i] :
                  ( ( Y0 @ Y1 )
                 => ( '#sk1' @ Y0 @ Y1 ) ) )
            & ( Y0 @ X1 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl2069,plain,
    ! [X0: $i > $o,X2: $i > $o,X4: $i] :
      ( ~ ( '#sk1' @ X0 @ X4 )
      | ( '#sk1' @ '#l_lift4759' @ X4 )
      | ~ ( '#sk1' @ X2 @ ( '#sk13' @ X2 @ ( '#sk1' @ X2 ) ) )
      | ~ ( X2 @ ( '#sk498' @ X0 ) ) ),
    inference(lambda_lifting,[status(thm)],[zip_derived_cl205,zip_derived_cl2065]) ).

thf(zip_derived_cl191,plain,
    ! [X0: $i > $o] :
      ( ( X0 @ ( '#sk498' @ X0 ) )
      | ( !!
        @ ^ [Y0: $i] :
            ( ( '#sk1' @ X0 @ Y0 )
           => ( '#sk1'
              @ ^ [Y1: $i] :
                  ( ??
                  @ ^ [Y2: $i > $o] :
                      ( ( !!
                        @ ^ [Y3: $i] :
                            ( ( Y2 @ Y3 )
                           => ( '#sk1' @ Y2 @ Y3 ) ) )
                      & ( Y2 @ Y1 ) ) )
              @ Y0 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl190]) ).

thf(zip_derived_cl193,plain,
    ! [X0: $i > $o,X2: $i] :
      ( ( ( '#sk1' @ X0 @ X2 )
       => ( '#sk1'
          @ ^ [Y0: $i] :
              ( ??
              @ ^ [Y1: $i > $o] :
                  ( ( !!
                    @ ^ [Y2: $i] :
                        ( ( Y1 @ Y2 )
                       => ( '#sk1' @ Y1 @ Y2 ) ) )
                  & ( Y1 @ Y0 ) ) )
          @ X2 ) )
      | ( X0 @ ( '#sk498' @ X0 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl191]) ).

thf(zip_derived_cl197,plain,
    ! [X0: $i > $o,X2: $i] :
      ( ~ ( '#sk1' @ X0 @ X2 )
      | ( '#sk1'
        @ ^ [Y0: $i] :
            ( ??
            @ ^ [Y1: $i > $o] :
                ( ( !!
                  @ ^ [Y2: $i] :
                      ( ( Y1 @ Y2 )
                     => ( '#sk1' @ Y1 @ Y2 ) ) )
                & ( Y1 @ Y0 ) ) )
        @ X2 )
      | ( X0 @ ( '#sk498' @ X0 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl193]) ).

thf(zip_derived_cl2065_009,plain,
    ! [X1: $i] :
      ( ( '#l_lift4759' @ X1 )
      = ( ??
        @ ^ [Y0: $i > $o] :
            ( ( !!
              @ ^ [Y1: $i] :
                  ( ( Y0 @ Y1 )
                 => ( '#sk1' @ Y0 @ Y1 ) ) )
            & ( Y0 @ X1 ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl2067,plain,
    ! [X0: $i > $o,X2: $i] :
      ( ~ ( '#sk1' @ X0 @ X2 )
      | ( '#sk1' @ '#l_lift4759' @ X2 )
      | ( X0 @ ( '#sk498' @ X0 ) ) ),
    inference(lambda_lifting,[status(thm)],[zip_derived_cl197,zip_derived_cl2065]) ).

thf(zip_derived_cl2099,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl2066,zip_derived_cl19,zip_derived_cl2071,zip_derived_cl2072,zip_derived_cl18,zip_derived_cl2070,zip_derived_cl2065,zip_derived_cl2068,zip_derived_cl2069,zip_derived_cl2067]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : SEV246^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.10  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.z4jVG6HPkU true
% 0.10/0.30  % Computer : n019.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 : Thu Aug 24 03:14:14 EDT 2023
% 0.10/0.30  % CPUTime  : 
% 0.10/0.30  % Running portfolio for 300 s
% 0.10/0.30  % 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
% 0.15/0.53  % Total configuration time : 828
% 0.15/0.53  % Estimated wc time : 1656
% 0.15/0.53  % Estimated cpu time (8 cpus) : 207.0
% 0.15/0.60  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.15/0.62  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.15/0.62  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.15/0.62  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.15/0.62  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.15/0.62  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.15/0.62  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.15/0.62  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 52.59/7.45  % Solved by lams/20_acsne_simpl.sh.
% 52.59/7.45  % done 170 iterations in 6.771s
% 52.59/7.45  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 52.59/7.45  % SZS output start Refutation
% See solution above
% 52.59/7.45  
% 52.59/7.45  
% 52.59/7.45  % Terminating...
% 53.43/7.65  % Runner terminated.
% 53.43/7.66  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------