TSTP Solution File: SEU861^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU861^5 : 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.KS3dKHfzFX true

% Computer : n022.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 19:18:39 EDT 2023

% Result   : Theorem 25.77s 3.92s
% Output   : Refutation 25.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :   13
% Syntax   : Number of formulae    :  136 (   4 unt;  12 typ;   0 def)
%            Number of atoms       :  833 (  67 equ;  30 cnn)
%            Maximal formula atoms :   23 (   6 avg)
%            Number of connectives : 1560 ( 154   ~; 190   |;  55   &; 876   @)
%                                         (   0 <=>; 131  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   9 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :  192 ( 192   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  11 usr;   4 con; 0-3 aty)
%                                         ( 120  !!;  34  ??;   0 @@+;   0 @@-)
%            Number of variables   :  302 ( 154   ^; 144   !;   4   ?; 302   :)

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

thf('#sk11_type',type,
    '#sk11': ( ( a > $o ) > $o ) > a > $o ).

thf('#sk363_type',type,
    '#sk363': ( ( a > $o ) > $o ) > a > ( a > $o ) > a ).

thf(cC_type,type,
    cC: a > $o ).

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

thf('#sk215_type',type,
    '#sk215': ( ( a > $o ) > $o ) > a ).

thf('#sk60_type',type,
    '#sk60': ( a > $o ) > a > ( a > $o ) > a ).

thf('#sk31_type',type,
    '#sk31': ( ( a > $o ) > $o ) > a > $o ).

thf('#sk25_type',type,
    '#sk25': ( a > $o ) > a ).

thf('#sk55_type',type,
    '#sk55': ( ( a > $o ) > $o ) > a > $o ).

thf(cB_type,type,
    cB: a > $o ).

thf('#sk20_type',type,
    '#sk20': ( ( a > $o ) > $o ) > a ).

thf(cTHM531E_pme,conjecture,
    ( ( ! [Xx: a] :
          ( ( cB @ Xx )
         => ( cC @ Xx ) )
      & ! [P: ( a > $o ) > $o] :
          ( ( ! [Y: a > $o,Xx: a,Z: a > $o] :
                ( ( ! [Xx_27: a] :
                      ( ( Z @ Xx_27 )
                     => ( ( Xx_27 = Xx )
                        | ( Y @ Xx_27 ) ) )
                  & ( P @ Y ) )
               => ( P @ Z ) )
            & ! [E: a > $o] :
                ( ~ ? [Xt: a] : ( E @ Xt )
               => ( P @ E ) ) )
         => ( P @ cC ) ) )
   => ! [P: ( a > $o ) > $o] :
        ( ( ! [Y: a > $o,Xx: a,Z: a > $o] :
              ( ( ! [Xx_28: a] :
                    ( ( Z @ Xx_28 )
                   => ( ( Xx_28 = Xx )
                      | ( Y @ Xx_28 ) ) )
                & ( P @ Y ) )
             => ( P @ Z ) )
          & ! [E: a > $o] :
              ( ~ ? [Xt: a] : ( E @ Xt )
             => ( P @ E ) ) )
       => ( P @ cB ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ! [Xx: a] :
            ( ( cB @ Xx )
           => ( cC @ Xx ) )
        & ! [P: ( a > $o ) > $o] :
            ( ( ! [Y: a > $o,Xx: a,Z: a > $o] :
                  ( ( ! [Xx_27: a] :
                        ( ( Z @ Xx_27 )
                       => ( ( Xx_27 = Xx )
                          | ( Y @ Xx_27 ) ) )
                    & ( P @ Y ) )
                 => ( P @ Z ) )
              & ! [E: a > $o] :
                  ( ~ ? [Xt: a] : ( E @ Xt )
                 => ( P @ E ) ) )
           => ( P @ cC ) ) )
     => ! [P: ( a > $o ) > $o] :
          ( ( ! [Y: a > $o,Xx: a,Z: a > $o] :
                ( ( ! [Xx_28: a] :
                      ( ( Z @ Xx_28 )
                     => ( ( Xx_28 = Xx )
                        | ( Y @ Xx_28 ) ) )
                  & ( P @ Y ) )
               => ( P @ Z ) )
            & ! [E: a > $o] :
                ( ~ ? [Xt: a] : ( E @ Xt )
               => ( P @ E ) ) )
         => ( P @ cB ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM531E_pme]) ).

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

thf(zip_derived_cl1,plain,
    ( ( !!
      @ ^ [Y0: a] :
          ( ( cB @ Y0 )
         => ( cC @ Y0 ) ) )
    & ( !!
      @ ^ [Y0: ( a > $o ) > $o] :
          ( ( ( !!
              @ ^ [Y1: a > $o] :
                  ( !!
                  @ ^ [Y2: a] :
                      ( !!
                      @ ^ [Y3: a > $o] :
                          ( ( ( !!
                              @ ^ [Y4: a] :
                                  ( ( Y3 @ Y4 )
                                 => ( ( Y4 = Y2 )
                                    | ( Y1 @ Y4 ) ) ) )
                            & ( Y0 @ Y1 ) )
                         => ( Y0 @ Y3 ) ) ) ) )
            & ( !!
              @ ^ [Y1: a > $o] :
                  ( ( (~)
                    @ ( ??
                      @ ^ [Y2: a] : ( Y1 @ Y2 ) ) )
                 => ( Y0 @ Y1 ) ) ) )
         => ( Y0 @ cC ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl4,plain,
    ( !!
    @ ^ [Y0: ( a > $o ) > $o] :
        ( ( ( !!
            @ ^ [Y1: a > $o] :
                ( !!
                @ ^ [Y2: a] :
                    ( !!
                    @ ^ [Y3: a > $o] :
                        ( ( ( !!
                            @ ^ [Y4: a] :
                                ( ( Y3 @ Y4 )
                               => ( ( Y4 = Y2 )
                                  | ( Y1 @ Y4 ) ) ) )
                          & ( Y0 @ Y1 ) )
                       => ( Y0 @ Y3 ) ) ) ) )
          & ( !!
            @ ^ [Y1: a > $o] :
                ( ( (~)
                  @ ( ??
                    @ ^ [Y2: a] : ( Y1 @ Y2 ) ) )
               => ( Y0 @ Y1 ) ) ) )
       => ( Y0 @ cC ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl7,plain,
    ! [X2: ( a > $o ) > $o] :
      ( ( ( !!
          @ ^ [Y0: a > $o] :
              ( !!
              @ ^ [Y1: a] :
                  ( !!
                  @ ^ [Y2: a > $o] :
                      ( ( ( !!
                          @ ^ [Y3: a] :
                              ( ( Y2 @ Y3 )
                             => ( ( Y3 = Y1 )
                                | ( Y0 @ Y3 ) ) ) )
                        & ( X2 @ Y0 ) )
                     => ( X2 @ Y2 ) ) ) ) )
        & ( !!
          @ ^ [Y0: a > $o] :
              ( ( (~)
                @ ( ??
                  @ ^ [Y1: a] : ( Y0 @ Y1 ) ) )
             => ( X2 @ Y0 ) ) ) )
     => ( X2 @ cC ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl8,plain,
    ( ( ( !!
        @ ^ [Y0: a > $o] :
            ( !!
            @ ^ [Y1: a] :
                ( !!
                @ ^ [Y2: a > $o] :
                    ( ( ( !!
                        @ ^ [Y3: a] :
                            ( ( Y2 @ Y3 )
                           => ( ( Y3 = Y1 )
                              | ( Y0 @ Y3 ) ) ) )
                      & ( '#sk1' @ Y0 ) )
                   => ( '#sk1' @ Y2 ) ) ) ) )
      & ( !!
        @ ^ [Y0: a > $o] :
            ( ( (~)
              @ ( ??
                @ ^ [Y1: a] : ( Y0 @ Y1 ) ) )
           => ( '#sk1' @ Y0 ) ) ) )
   => ( '#sk1' @ cC ) ),
    inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl88,plain,
    ( ~ ( ( !!
          @ ^ [Y0: a > $o] :
              ( !!
              @ ^ [Y1: a] :
                  ( !!
                  @ ^ [Y2: a > $o] :
                      ( ( ( !!
                          @ ^ [Y3: a] :
                              ( ( Y2 @ Y3 )
                             => ( ( Y3 = Y1 )
                                | ( Y0 @ Y3 ) ) ) )
                        & ( '#sk1' @ Y0 ) )
                     => ( '#sk1' @ Y2 ) ) ) ) )
        & ( !!
          @ ^ [Y0: a > $o] :
              ( ( (~)
                @ ( ??
                  @ ^ [Y1: a] : ( Y0 @ Y1 ) ) )
             => ( '#sk1' @ Y0 ) ) ) )
    | ( '#sk1' @ cC ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl89,plain,
    ( ~ ( !!
        @ ^ [Y0: a > $o] :
            ( !!
            @ ^ [Y1: a] :
                ( !!
                @ ^ [Y2: a > $o] :
                    ( ( ( !!
                        @ ^ [Y3: a] :
                            ( ( Y2 @ Y3 )
                           => ( ( Y3 = Y1 )
                              | ( Y0 @ Y3 ) ) ) )
                      & ( '#sk1' @ Y0 ) )
                   => ( '#sk1' @ Y2 ) ) ) ) )
    | ~ ( !!
        @ ^ [Y0: a > $o] :
            ( ( (~)
              @ ( ??
                @ ^ [Y1: a] : ( Y0 @ Y1 ) ) )
           => ( '#sk1' @ Y0 ) ) )
    | ( '#sk1' @ cC ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl88]) ).

thf(zip_derived_cl90,plain,
    ( ~ ( !!
        @ ^ [Y0: a] :
            ( !!
            @ ^ [Y1: a > $o] :
                ( ( ( !!
                    @ ^ [Y2: a] :
                        ( ( Y1 @ Y2 )
                       => ( ( Y2 = Y0 )
                          | ( '#sk11' @ '#sk1' @ Y2 ) ) ) )
                  & ( '#sk1' @ ( '#sk11' @ '#sk1' ) ) )
               => ( '#sk1' @ Y1 ) ) ) )
    | ( '#sk1' @ cC )
    | ~ ( !!
        @ ^ [Y0: a > $o] :
            ( ( (~)
              @ ( ??
                @ ^ [Y1: a] : ( Y0 @ Y1 ) ) )
           => ( '#sk1' @ Y0 ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl89]) ).

thf(zip_derived_cl91,plain,
    ( ~ ( !!
        @ ^ [Y0: a > $o] :
            ( ( ( !!
                @ ^ [Y1: a] :
                    ( ( Y0 @ Y1 )
                   => ( ( Y1
                        = ( '#sk20' @ '#sk1' ) )
                      | ( '#sk11' @ '#sk1' @ Y1 ) ) ) )
              & ( '#sk1' @ ( '#sk11' @ '#sk1' ) ) )
           => ( '#sk1' @ Y0 ) ) )
    | ~ ( !!
        @ ^ [Y0: a > $o] :
            ( ( (~)
              @ ( ??
                @ ^ [Y1: a] : ( Y0 @ Y1 ) ) )
           => ( '#sk1' @ Y0 ) ) )
    | ( '#sk1' @ cC ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl90]) ).

thf(zip_derived_cl92,plain,
    ( ~ ( ( ( !!
            @ ^ [Y0: a] :
                ( ( '#sk31' @ '#sk1' @ Y0 )
               => ( ( Y0
                    = ( '#sk20' @ '#sk1' ) )
                  | ( '#sk11' @ '#sk1' @ Y0 ) ) ) )
          & ( '#sk1' @ ( '#sk11' @ '#sk1' ) ) )
       => ( '#sk1' @ ( '#sk31' @ '#sk1' ) ) )
    | ( '#sk1' @ cC )
    | ~ ( !!
        @ ^ [Y0: a > $o] :
            ( ( (~)
              @ ( ??
                @ ^ [Y1: a] : ( Y0 @ Y1 ) ) )
           => ( '#sk1' @ Y0 ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl91]) ).

thf(zip_derived_cl94,plain,
    ( ~ ( '#sk1' @ ( '#sk31' @ '#sk1' ) )
    | ~ ( !!
        @ ^ [Y0: a > $o] :
            ( ( (~)
              @ ( ??
                @ ^ [Y1: a] : ( Y0 @ Y1 ) ) )
           => ( '#sk1' @ Y0 ) ) )
    | ( '#sk1' @ cC ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl92]) ).

thf(zip_derived_cl97,plain,
    ( ~ ( ( (~)
          @ ( ??
            @ ^ [Y0: a] : ( '#sk55' @ '#sk1' @ Y0 ) ) )
       => ( '#sk1' @ ( '#sk55' @ '#sk1' ) ) )
    | ( '#sk1' @ cC )
    | ~ ( '#sk1' @ ( '#sk31' @ '#sk1' ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl94]) ).

thf(zip_derived_cl100,plain,
    ( ~ ( ??
        @ ^ [Y0: a] : ( '#sk55' @ '#sk1' @ Y0 ) )
    | ~ ( '#sk1' @ ( '#sk31' @ '#sk1' ) )
    | ( '#sk1' @ cC ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl97]) ).

thf(zip_derived_cl105,plain,
    ! [X2: a] :
      ( ~ ( '#sk55' @ '#sk1' @ X2 )
      | ( '#sk1' @ cC )
      | ~ ( '#sk1' @ ( '#sk31' @ '#sk1' ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl100]) ).

thf(zip_derived_cl2,plain,
    ~ ( !!
      @ ^ [Y0: ( a > $o ) > $o] :
          ( ( ( !!
              @ ^ [Y1: a > $o] :
                  ( !!
                  @ ^ [Y2: a] :
                      ( !!
                      @ ^ [Y3: a > $o] :
                          ( ( ( !!
                              @ ^ [Y4: a] :
                                  ( ( Y3 @ Y4 )
                                 => ( ( Y4 = Y2 )
                                    | ( Y1 @ Y4 ) ) ) )
                            & ( Y0 @ Y1 ) )
                         => ( Y0 @ Y3 ) ) ) ) )
            & ( !!
              @ ^ [Y1: a > $o] :
                  ( ( (~)
                    @ ( ??
                      @ ^ [Y2: a] : ( Y1 @ Y2 ) ) )
                 => ( Y0 @ Y1 ) ) ) )
         => ( Y0 @ cB ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl5,plain,
    ~ ( ( ( !!
          @ ^ [Y0: a > $o] :
              ( !!
              @ ^ [Y1: a] :
                  ( !!
                  @ ^ [Y2: a > $o] :
                      ( ( ( !!
                          @ ^ [Y3: a] :
                              ( ( Y2 @ Y3 )
                             => ( ( Y3 = Y1 )
                                | ( Y0 @ Y3 ) ) ) )
                        & ( '#sk1' @ Y0 ) )
                     => ( '#sk1' @ Y2 ) ) ) ) )
        & ( !!
          @ ^ [Y0: a > $o] :
              ( ( (~)
                @ ( ??
                  @ ^ [Y1: a] : ( Y0 @ Y1 ) ) )
             => ( '#sk1' @ Y0 ) ) ) )
     => ( '#sk1' @ cB ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl9,plain,
    ( ( !!
      @ ^ [Y0: a > $o] :
          ( !!
          @ ^ [Y1: a] :
              ( !!
              @ ^ [Y2: a > $o] :
                  ( ( ( !!
                      @ ^ [Y3: a] :
                          ( ( Y2 @ Y3 )
                         => ( ( Y3 = Y1 )
                            | ( Y0 @ Y3 ) ) ) )
                    & ( '#sk1' @ Y0 ) )
                 => ( '#sk1' @ Y2 ) ) ) ) )
    & ( !!
      @ ^ [Y0: a > $o] :
          ( ( (~)
            @ ( ??
              @ ^ [Y1: a] : ( Y0 @ Y1 ) ) )
         => ( '#sk1' @ Y0 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl14,plain,
    ( !!
    @ ^ [Y0: a > $o] :
        ( ( (~)
          @ ( ??
            @ ^ [Y1: a] : ( Y0 @ Y1 ) ) )
       => ( '#sk1' @ Y0 ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl17,plain,
    ! [X2: a > $o] :
      ( ( (~)
        @ ( ??
          @ ^ [Y0: a] : ( X2 @ Y0 ) ) )
     => ( '#sk1' @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl22,plain,
    ! [X2: a > $o] :
      ( ( ??
        @ ^ [Y0: a] : ( X2 @ Y0 ) )
      | ( '#sk1' @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl26,plain,
    ! [X2: a > $o] :
      ( ( X2 @ ( '#sk25' @ X2 ) )
      | ( '#sk1' @ X2 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl22]) ).

thf(zip_derived_cl116,plain,
    ( ~ ( '#sk1' @ ( '#sk31' @ '#sk1' ) )
    | ( '#sk1' @ cC )
    | ( '#sk1' @ ( '#sk55' @ '#sk1' ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl105,zip_derived_cl26]) ).

thf(zip_derived_cl101,plain,
    ( ~ ( '#sk1' @ ( '#sk55' @ '#sk1' ) )
    | ~ ( '#sk1' @ ( '#sk31' @ '#sk1' ) )
    | ( '#sk1' @ cC ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl97]) ).

thf(zip_derived_cl122,plain,
    ( ( '#sk1' @ cC )
    | ~ ( '#sk1' @ ( '#sk31' @ '#sk1' ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl116,zip_derived_cl101]) ).

thf(zip_derived_cl13,plain,
    ( !!
    @ ^ [Y0: a > $o] :
        ( !!
        @ ^ [Y1: a] :
            ( !!
            @ ^ [Y2: a > $o] :
                ( ( ( !!
                    @ ^ [Y3: a] :
                        ( ( Y2 @ Y3 )
                       => ( ( Y3 = Y1 )
                          | ( Y0 @ Y3 ) ) ) )
                  & ( '#sk1' @ Y0 ) )
               => ( '#sk1' @ Y2 ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl16,plain,
    ! [X2: a > $o] :
      ( !!
      @ ^ [Y0: a] :
          ( !!
          @ ^ [Y1: a > $o] :
              ( ( ( !!
                  @ ^ [Y2: a] :
                      ( ( Y1 @ Y2 )
                     => ( ( Y2 = Y0 )
                        | ( X2 @ Y2 ) ) ) )
                & ( '#sk1' @ X2 ) )
             => ( '#sk1' @ Y1 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl21,plain,
    ! [X2: a > $o,X4: a] :
      ( !!
      @ ^ [Y0: a > $o] :
          ( ( ( !!
              @ ^ [Y1: a] :
                  ( ( Y0 @ Y1 )
                 => ( ( Y1 = X4 )
                    | ( X2 @ Y1 ) ) ) )
            & ( '#sk1' @ X2 ) )
         => ( '#sk1' @ Y0 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl16]) ).

thf(zip_derived_cl24,plain,
    ! [X2: a > $o,X4: a,X6: a > $o] :
      ( ( ( !!
          @ ^ [Y0: a] :
              ( ( X6 @ Y0 )
             => ( ( Y0 = X4 )
                | ( X2 @ Y0 ) ) ) )
        & ( '#sk1' @ X2 ) )
     => ( '#sk1' @ X6 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl21]) ).

thf(zip_derived_cl62,plain,
    ! [X0: a > $o,X1: a] :
      ( ( ( !!
          @ ^ [Y0: a] :
              ( ( cB @ Y0 )
             => ( ( Y0 = X1 )
                | ( X0 @ Y0 ) ) ) )
        & ( '#sk1' @ X0 ) )
     => ( '#sk1' @ cB ) ),
    inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl24]) ).

thf(zip_derived_cl10,plain,
    ~ ( '#sk1' @ cB ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl346,plain,
    ! [X0: a > $o,X1: a] :
      ( ( ( !!
          @ ^ [Y0: a] :
              ( ( cB @ Y0 )
             => ( ( Y0 = X1 )
                | ( X0 @ Y0 ) ) ) )
        & ( '#sk1' @ X0 ) )
     => $false ),
    inference(demod,[status(thm)],[zip_derived_cl62,zip_derived_cl10]) ).

thf(zip_derived_cl347,plain,
    ! [X0: a > $o,X1: a] :
      ( (~)
      @ ( ( !!
          @ ^ [Y0: a] :
              ( ( cB @ Y0 )
             => ( ( Y0 = X1 )
                | ( X0 @ Y0 ) ) ) )
        & ( '#sk1' @ X0 ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl346]) ).

thf(zip_derived_cl348,plain,
    ! [X0: a > $o,X1: a] :
      ~ ( ( !!
          @ ^ [Y0: a] :
              ( ( cB @ Y0 )
             => ( ( Y0 = X1 )
                | ( X0 @ Y0 ) ) ) )
        & ( '#sk1' @ X0 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl347]) ).

thf(zip_derived_cl349,plain,
    ! [X0: a > $o,X1: a] :
      ( ~ ( !!
          @ ^ [Y0: a] :
              ( ( cB @ Y0 )
             => ( ( Y0 = X1 )
                | ( X0 @ Y0 ) ) ) )
      | ~ ( '#sk1' @ X0 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl348]) ).

thf(zip_derived_cl350,plain,
    ! [X0: a > $o,X1: a] :
      ( ~ ( ( cB @ ( '#sk60' @ X0 @ X1 @ cB ) )
         => ( ( ( '#sk60' @ X0 @ X1 @ cB )
              = X1 )
            | ( X0 @ ( '#sk60' @ X0 @ X1 @ cB ) ) ) )
      | ~ ( '#sk1' @ X0 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl349]) ).

thf(zip_derived_cl352,plain,
    ! [X0: a > $o,X1: a] :
      ( ~ ( ( ( '#sk60' @ X0 @ X1 @ cB )
            = X1 )
          | ( X0 @ ( '#sk60' @ X0 @ X1 @ cB ) ) )
      | ~ ( '#sk1' @ X0 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl350]) ).

thf(zip_derived_cl354,plain,
    ! [X0: a > $o,X1: a] :
      ( ~ ( X0 @ ( '#sk60' @ X0 @ X1 @ cB ) )
      | ~ ( '#sk1' @ X0 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl352]) ).

thf(zip_derived_cl367,plain,
    ! [X0: a] :
      ( ~ ( '#sk1' @ ( '#sk31' @ '#sk1' ) )
      | ~ ( cC @ ( '#sk60' @ cC @ X0 @ cB ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl122,zip_derived_cl354]) ).

thf(zip_derived_cl3,plain,
    ( !!
    @ ^ [Y0: a] :
        ( ( cB @ Y0 )
       => ( cC @ Y0 ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl6,plain,
    ! [X2: a] :
      ( ( cB @ X2 )
     => ( cC @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl11,plain,
    ! [X2: a] :
      ( ~ ( cB @ X2 )
      | ( cC @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl398,plain,
    ! [X0: a] :
      ( ~ ( '#sk1' @ ( '#sk31' @ '#sk1' ) )
      | ~ ( cB @ ( '#sk60' @ cC @ X0 @ cB ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl367,zip_derived_cl11]) ).

thf(zip_derived_cl351,plain,
    ! [X0: a > $o,X1: a] :
      ( ( cB @ ( '#sk60' @ X0 @ X1 @ cB ) )
      | ~ ( '#sk1' @ X0 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl350]) ).

thf(zip_derived_cl400,plain,
    ( ~ ( '#sk1' @ ( '#sk31' @ '#sk1' ) )
    | ~ ( '#sk1' @ cC ) ),
    inference('sup+',[status(thm)],[zip_derived_cl398,zip_derived_cl351]) ).

thf(zip_derived_cl122_001,plain,
    ( ( '#sk1' @ cC )
    | ~ ( '#sk1' @ ( '#sk31' @ '#sk1' ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl116,zip_derived_cl101]) ).

thf(zip_derived_cl406,plain,
    ~ ( '#sk1' @ ( '#sk31' @ '#sk1' ) ),
    inference(clc,[status(thm)],[zip_derived_cl400,zip_derived_cl122]) ).

thf(zip_derived_cl16_002,plain,
    ! [X2: a > $o] :
      ( !!
      @ ^ [Y0: a] :
          ( !!
          @ ^ [Y1: a > $o] :
              ( ( ( !!
                  @ ^ [Y2: a] :
                      ( ( Y1 @ Y2 )
                     => ( ( Y2 = Y0 )
                        | ( X2 @ Y2 ) ) ) )
                & ( '#sk1' @ X2 ) )
             => ( '#sk1' @ Y1 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl19,plain,
    ! [X0: ( a > $o ) > $o] :
      ( !!
      @ ^ [Y0: a] :
          ( !!
          @ ^ [Y1: a > $o] :
              ( ( ( !!
                  @ ^ [Y2: a] :
                      ( ( Y1 @ Y2 )
                     => ( ( Y2 = Y0 )
                        | ( '#sk11' @ X0 @ Y2 ) ) ) )
                & ( '#sk1' @ ( '#sk11' @ X0 ) ) )
             => ( '#sk1' @ Y1 ) ) ) ),
    inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl16]) ).

thf(zip_derived_cl291,plain,
    ! [X0: ( a > $o ) > $o,X2: a] :
      ( !!
      @ ^ [Y0: a > $o] :
          ( ( ( !!
              @ ^ [Y1: a] :
                  ( ( Y0 @ Y1 )
                 => ( ( Y1 = X2 )
                    | ( '#sk11' @ X0 @ Y1 ) ) ) )
            & ( '#sk1' @ ( '#sk11' @ X0 ) ) )
         => ( '#sk1' @ Y0 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl19]) ).

thf(zip_derived_cl292,plain,
    ! [X0: ( a > $o ) > $o,X2: a,X4: a > $o] :
      ( ( ( !!
          @ ^ [Y0: a] :
              ( ( X4 @ Y0 )
             => ( ( Y0 = X2 )
                | ( '#sk11' @ X0 @ Y0 ) ) ) )
        & ( '#sk1' @ ( '#sk11' @ X0 ) ) )
     => ( '#sk1' @ X4 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl291]) ).

thf(zip_derived_cl298,plain,
    ! [X0: ( a > $o ) > $o,X2: a,X4: a > $o] :
      ( ~ ( ( !!
            @ ^ [Y0: a] :
                ( ( X4 @ Y0 )
               => ( ( Y0 = X2 )
                  | ( '#sk11' @ X0 @ Y0 ) ) ) )
          & ( '#sk1' @ ( '#sk11' @ X0 ) ) )
      | ( '#sk1' @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl292]) ).

thf(zip_derived_cl299,plain,
    ! [X0: ( a > $o ) > $o,X2: a,X4: a > $o] :
      ( ~ ( !!
          @ ^ [Y0: a] :
              ( ( X4 @ Y0 )
             => ( ( Y0 = X2 )
                | ( '#sk11' @ X0 @ Y0 ) ) ) )
      | ~ ( '#sk1' @ ( '#sk11' @ X0 ) )
      | ( '#sk1' @ X4 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl298]) ).

thf(zip_derived_cl300,plain,
    ! [X0: ( a > $o ) > $o,X2: a,X4: a > $o] :
      ( ~ ( ( X4 @ ( '#sk363' @ X0 @ X2 @ X4 ) )
         => ( ( ( '#sk363' @ X0 @ X2 @ X4 )
              = X2 )
            | ( '#sk11' @ X0 @ ( '#sk363' @ X0 @ X2 @ X4 ) ) ) )
      | ( '#sk1' @ X4 )
      | ~ ( '#sk1' @ ( '#sk11' @ X0 ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl299]) ).

thf(zip_derived_cl302,plain,
    ! [X0: ( a > $o ) > $o,X2: a,X4: a > $o] :
      ( ~ ( ( ( '#sk363' @ X0 @ X2 @ X4 )
            = X2 )
          | ( '#sk11' @ X0 @ ( '#sk363' @ X0 @ X2 @ X4 ) ) )
      | ~ ( '#sk1' @ ( '#sk11' @ X0 ) )
      | ( '#sk1' @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl300]) ).

thf(zip_derived_cl304,plain,
    ! [X0: ( a > $o ) > $o,X2: a,X4: a > $o] :
      ( ~ ( '#sk11' @ X0 @ ( '#sk363' @ X0 @ X2 @ X4 ) )
      | ( '#sk1' @ X4 )
      | ~ ( '#sk1' @ ( '#sk11' @ X0 ) ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl302]) ).

thf(zip_derived_cl93,plain,
    ( ( ( !!
        @ ^ [Y0: a] :
            ( ( '#sk31' @ '#sk1' @ Y0 )
           => ( ( Y0
                = ( '#sk20' @ '#sk1' ) )
              | ( '#sk11' @ '#sk1' @ Y0 ) ) ) )
      & ( '#sk1' @ ( '#sk11' @ '#sk1' ) ) )
    | ~ ( !!
        @ ^ [Y0: a > $o] :
            ( ( (~)
              @ ( ??
                @ ^ [Y1: a] : ( Y0 @ Y1 ) ) )
           => ( '#sk1' @ Y0 ) ) )
    | ( '#sk1' @ cC ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl92]) ).

thf(zip_derived_cl96,plain,
    ( ( '#sk1' @ ( '#sk11' @ '#sk1' ) )
    | ( '#sk1' @ cC )
    | ~ ( !!
        @ ^ [Y0: a > $o] :
            ( ( (~)
              @ ( ??
                @ ^ [Y1: a] : ( Y0 @ Y1 ) ) )
           => ( '#sk1' @ Y0 ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl93]) ).

thf(zip_derived_cl99,plain,
    ( ~ ( ( (~)
          @ ( ??
            @ ^ [Y0: a] : ( '#sk55' @ '#sk1' @ Y0 ) ) )
       => ( '#sk1' @ ( '#sk55' @ '#sk1' ) ) )
    | ( '#sk1' @ cC )
    | ( '#sk1' @ ( '#sk11' @ '#sk1' ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl96]) ).

thf(zip_derived_cl103,plain,
    ( ~ ( ??
        @ ^ [Y0: a] : ( '#sk55' @ '#sk1' @ Y0 ) )
    | ( '#sk1' @ ( '#sk11' @ '#sk1' ) )
    | ( '#sk1' @ cC ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl99]) ).

thf(zip_derived_cl107,plain,
    ! [X2: a] :
      ( ~ ( '#sk55' @ '#sk1' @ X2 )
      | ( '#sk1' @ cC )
      | ( '#sk1' @ ( '#sk11' @ '#sk1' ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl103]) ).

thf(zip_derived_cl26_003,plain,
    ! [X2: a > $o] :
      ( ( X2 @ ( '#sk25' @ X2 ) )
      | ( '#sk1' @ X2 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl22]) ).

thf(zip_derived_cl125,plain,
    ( ( '#sk1' @ ( '#sk11' @ '#sk1' ) )
    | ( '#sk1' @ cC )
    | ( '#sk1' @ ( '#sk55' @ '#sk1' ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl107,zip_derived_cl26]) ).

thf(zip_derived_cl104,plain,
    ( ~ ( '#sk1' @ ( '#sk55' @ '#sk1' ) )
    | ( '#sk1' @ ( '#sk11' @ '#sk1' ) )
    | ( '#sk1' @ cC ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl99]) ).

thf(zip_derived_cl133,plain,
    ( ( '#sk1' @ cC )
    | ( '#sk1' @ ( '#sk11' @ '#sk1' ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl125,zip_derived_cl104]) ).

thf(zip_derived_cl354_004,plain,
    ! [X0: a > $o,X1: a] :
      ( ~ ( X0 @ ( '#sk60' @ X0 @ X1 @ cB ) )
      | ~ ( '#sk1' @ X0 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl352]) ).

thf(zip_derived_cl366,plain,
    ! [X0: a] :
      ( ( '#sk1' @ ( '#sk11' @ '#sk1' ) )
      | ~ ( cC @ ( '#sk60' @ cC @ X0 @ cB ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl133,zip_derived_cl354]) ).

thf(zip_derived_cl11_005,plain,
    ! [X2: a] :
      ( ~ ( cB @ X2 )
      | ( cC @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl428,plain,
    ! [X0: a] :
      ( ( '#sk1' @ ( '#sk11' @ '#sk1' ) )
      | ~ ( cB @ ( '#sk60' @ cC @ X0 @ cB ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl366,zip_derived_cl11]) ).

thf(zip_derived_cl351_006,plain,
    ! [X0: a > $o,X1: a] :
      ( ( cB @ ( '#sk60' @ X0 @ X1 @ cB ) )
      | ~ ( '#sk1' @ X0 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl350]) ).

thf(zip_derived_cl432,plain,
    ( ( '#sk1' @ ( '#sk11' @ '#sk1' ) )
    | ~ ( '#sk1' @ cC ) ),
    inference('sup+',[status(thm)],[zip_derived_cl428,zip_derived_cl351]) ).

thf(zip_derived_cl133_007,plain,
    ( ( '#sk1' @ cC )
    | ( '#sk1' @ ( '#sk11' @ '#sk1' ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl125,zip_derived_cl104]) ).

thf(zip_derived_cl444,plain,
    '#sk1' @ ( '#sk11' @ '#sk1' ),
    inference(clc,[status(thm)],[zip_derived_cl432,zip_derived_cl133]) ).

thf(zip_derived_cl301,plain,
    ! [X0: ( a > $o ) > $o,X2: a,X4: a > $o] :
      ( ( X4 @ ( '#sk363' @ X0 @ X2 @ X4 ) )
      | ~ ( '#sk1' @ ( '#sk11' @ X0 ) )
      | ( '#sk1' @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl300]) ).

thf(zip_derived_cl445,plain,
    ! [X0: a > $o,X1: a] :
      ( ( '#sk1' @ X0 )
      | ( X0 @ ( '#sk363' @ '#sk1' @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl444,zip_derived_cl301]) ).

thf(zip_derived_cl17_008,plain,
    ! [X2: a > $o] :
      ( ( (~)
        @ ( ??
          @ ^ [Y0: a] : ( X2 @ Y0 ) ) )
     => ( '#sk1' @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl38,plain,
    ! [X0: ( a > $o ) > $o] :
      ( ( (~)
        @ ( ??
          @ ^ [Y0: a] : ( '#sk55' @ X0 @ Y0 ) ) )
     => ( '#sk1' @ ( '#sk55' @ X0 ) ) ),
    inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl143,plain,
    ! [X0: ( a > $o ) > $o] :
      ( ( ??
        @ ^ [Y0: a] : ( '#sk55' @ X0 @ Y0 ) )
      | ( '#sk1' @ ( '#sk55' @ X0 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl38]) ).

thf(zip_derived_cl144,plain,
    ! [X0: ( a > $o ) > $o] :
      ( ( '#sk55' @ X0 @ ( '#sk215' @ X0 ) )
      | ( '#sk1' @ ( '#sk55' @ X0 ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl143]) ).

thf(zip_derived_cl95,plain,
    ( ( !!
      @ ^ [Y0: a] :
          ( ( '#sk31' @ '#sk1' @ Y0 )
         => ( ( Y0
              = ( '#sk20' @ '#sk1' ) )
            | ( '#sk11' @ '#sk1' @ Y0 ) ) ) )
    | ( '#sk1' @ cC )
    | ~ ( !!
        @ ^ [Y0: a > $o] :
            ( ( (~)
              @ ( ??
                @ ^ [Y1: a] : ( Y0 @ Y1 ) ) )
           => ( '#sk1' @ Y0 ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl93]) ).

thf(zip_derived_cl98,plain,
    ! [X2: a] :
      ( ( ( '#sk31' @ '#sk1' @ X2 )
       => ( ( X2
            = ( '#sk20' @ '#sk1' ) )
          | ( '#sk11' @ '#sk1' @ X2 ) ) )
      | ~ ( !!
          @ ^ [Y0: a > $o] :
              ( ( (~)
                @ ( ??
                  @ ^ [Y1: a] : ( Y0 @ Y1 ) ) )
             => ( '#sk1' @ Y0 ) ) )
      | ( '#sk1' @ cC ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl95]) ).

thf(zip_derived_cl102,plain,
    ! [X2: a] :
      ( ~ ( '#sk31' @ '#sk1' @ X2 )
      | ( X2
        = ( '#sk20' @ '#sk1' ) )
      | ( '#sk11' @ '#sk1' @ X2 )
      | ( '#sk1' @ cC )
      | ~ ( !!
          @ ^ [Y0: a > $o] :
              ( ( (~)
                @ ( ??
                  @ ^ [Y1: a] : ( Y0 @ Y1 ) ) )
             => ( '#sk1' @ Y0 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl98]) ).

thf(zip_derived_cl106,plain,
    ! [X2: a] :
      ( ( X2
        = ( '#sk20' @ '#sk1' ) )
      | ( '#sk11' @ '#sk1' @ X2 )
      | ~ ( !!
          @ ^ [Y0: a > $o] :
              ( ( (~)
                @ ( ??
                  @ ^ [Y1: a] : ( Y0 @ Y1 ) ) )
             => ( '#sk1' @ Y0 ) ) )
      | ( '#sk1' @ cC )
      | ~ ( '#sk31' @ '#sk1' @ X2 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl102]) ).

thf(zip_derived_cl108,plain,
    ! [X2: a] :
      ( ( X2
        = ( '#sk20' @ '#sk1' ) )
      | ( '#sk11' @ '#sk1' @ X2 )
      | ~ ( !!
          @ ^ [Y0: a > $o] :
              ( ( (~)
                @ ( ??
                  @ ^ [Y1: a] : ( Y0 @ Y1 ) ) )
             => ( '#sk1' @ Y0 ) ) )
      | ( '#sk1' @ cC )
      | ~ ( '#sk31' @ '#sk1' @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl106]) ).

thf(zip_derived_cl109,plain,
    ! [X2: a] :
      ( ~ ( ( (~)
            @ ( ??
              @ ^ [Y0: a] : ( '#sk55' @ '#sk1' @ Y0 ) ) )
         => ( '#sk1' @ ( '#sk55' @ '#sk1' ) ) )
      | ~ ( '#sk31' @ '#sk1' @ X2 )
      | ( '#sk1' @ cC )
      | ( '#sk11' @ '#sk1' @ X2 )
      | ( X2
        = ( '#sk20' @ '#sk1' ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl108]) ).

thf(zip_derived_cl110,plain,
    ! [X2: a] :
      ( ~ ( ??
          @ ^ [Y0: a] : ( '#sk55' @ '#sk1' @ Y0 ) )
      | ( X2
        = ( '#sk20' @ '#sk1' ) )
      | ( '#sk11' @ '#sk1' @ X2 )
      | ( '#sk1' @ cC )
      | ~ ( '#sk31' @ '#sk1' @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl109]) ).

thf(zip_derived_cl112,plain,
    ! [X2: a,X4: a] :
      ( ~ ( '#sk55' @ '#sk1' @ X4 )
      | ~ ( '#sk31' @ '#sk1' @ X2 )
      | ( '#sk1' @ cC )
      | ( '#sk11' @ '#sk1' @ X2 )
      | ( X2
        = ( '#sk20' @ '#sk1' ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl110]) ).

thf(zip_derived_cl351_009,plain,
    ! [X0: a > $o,X1: a] :
      ( ( cB @ ( '#sk60' @ X0 @ X1 @ cB ) )
      | ~ ( '#sk1' @ X0 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl350]) ).

thf(zip_derived_cl16_010,plain,
    ! [X2: a > $o] :
      ( !!
      @ ^ [Y0: a] :
          ( !!
          @ ^ [Y1: a > $o] :
              ( ( ( !!
                  @ ^ [Y2: a] :
                      ( ( Y1 @ Y2 )
                     => ( ( Y2 = Y0 )
                        | ( X2 @ Y2 ) ) ) )
                & ( '#sk1' @ X2 ) )
             => ( '#sk1' @ Y1 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl152,plain,
    ( !!
    @ ^ [Y0: a] :
        ( !!
        @ ^ [Y1: a > $o] :
            ( ( ( !!
                @ ^ [Y2: a] :
                    ( ( Y1 @ Y2 )
                   => ( ( Y2 = Y0 )
                      | ( cC @ Y2 ) ) ) )
              & ( '#sk1' @ cC ) )
           => ( '#sk1' @ Y1 ) ) ) ),
    inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl16]) ).

thf(zip_derived_cl317,plain,
    ! [X2: a] :
      ( !!
      @ ^ [Y0: a > $o] :
          ( ( ( !!
              @ ^ [Y1: a] :
                  ( ( Y0 @ Y1 )
                 => ( ( Y1 = X2 )
                    | ( cC @ Y1 ) ) ) )
            & ( '#sk1' @ cC ) )
         => ( '#sk1' @ Y0 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl152]) ).

thf(zip_derived_cl318,plain,
    ! [X2: a,X4: a > $o] :
      ( ( ( !!
          @ ^ [Y0: a] :
              ( ( X4 @ Y0 )
             => ( ( Y0 = X2 )
                | ( cC @ Y0 ) ) ) )
        & ( '#sk1' @ cC ) )
     => ( '#sk1' @ X4 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl317]) ).

thf(zip_derived_cl324,plain,
    ! [X2: a,X4: a > $o] :
      ( ~ ( ( !!
            @ ^ [Y0: a] :
                ( ( X4 @ Y0 )
               => ( ( Y0 = X2 )
                  | ( cC @ Y0 ) ) ) )
          & ( '#sk1' @ cC ) )
      | ( '#sk1' @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl318]) ).

thf(zip_derived_cl325,plain,
    ! [X2: a,X4: a > $o] :
      ( ~ ( !!
          @ ^ [Y0: a] :
              ( ( X4 @ Y0 )
             => ( ( Y0 = X2 )
                | ( cC @ Y0 ) ) ) )
      | ~ ( '#sk1' @ cC )
      | ( '#sk1' @ X4 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl324]) ).

thf(zip_derived_cl326,plain,
    ! [X2: a,X4: a > $o] :
      ( ~ ( ( X4 @ ( '#sk60' @ cC @ X2 @ X4 ) )
         => ( ( ( '#sk60' @ cC @ X2 @ X4 )
              = X2 )
            | ( cC @ ( '#sk60' @ cC @ X2 @ X4 ) ) ) )
      | ( '#sk1' @ X4 )
      | ~ ( '#sk1' @ cC ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl325]) ).

thf(zip_derived_cl328,plain,
    ! [X2: a,X4: a > $o] :
      ( ~ ( ( ( '#sk60' @ cC @ X2 @ X4 )
            = X2 )
          | ( cC @ ( '#sk60' @ cC @ X2 @ X4 ) ) )
      | ~ ( '#sk1' @ cC )
      | ( '#sk1' @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl326]) ).

thf(zip_derived_cl330,plain,
    ! [X2: a,X4: a > $o] :
      ( ~ ( cC @ ( '#sk60' @ cC @ X2 @ X4 ) )
      | ( '#sk1' @ X4 )
      | ~ ( '#sk1' @ cC ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl328]) ).

thf(zip_derived_cl11_011,plain,
    ! [X2: a] :
      ( ~ ( cB @ X2 )
      | ( cC @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl549,plain,
    ! [X0: a > $o,X1: a] :
      ( ~ ( '#sk1' @ cC )
      | ( '#sk1' @ X0 )
      | ~ ( cB @ ( '#sk60' @ cC @ X1 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl330,zip_derived_cl11]) ).

thf(zip_derived_cl564,plain,
    ( ~ ( '#sk1' @ cC )
    | ( '#sk1' @ cB )
    | ~ ( '#sk1' @ cC ) ),
    inference('sup-',[status(thm)],[zip_derived_cl351,zip_derived_cl549]) ).

thf(zip_derived_cl10_012,plain,
    ~ ( '#sk1' @ cB ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl568,plain,
    ( ~ ( '#sk1' @ cC )
    | ~ ( '#sk1' @ cC ) ),
    inference(demod,[status(thm)],[zip_derived_cl564,zip_derived_cl10]) ).

thf(zip_derived_cl569,plain,
    ~ ( '#sk1' @ cC ),
    inference(simplify,[status(thm)],[zip_derived_cl568]) ).

thf(zip_derived_cl1525,plain,
    ! [X2: a,X4: a] :
      ( ~ ( '#sk55' @ '#sk1' @ X4 )
      | ~ ( '#sk31' @ '#sk1' @ X2 )
      | ( '#sk11' @ '#sk1' @ X2 )
      | ( X2
        = ( '#sk20' @ '#sk1' ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl112,zip_derived_cl569]) ).

thf(zip_derived_cl1527,plain,
    ! [X0: a] :
      ( ( '#sk1' @ ( '#sk55' @ '#sk1' ) )
      | ( X0
        = ( '#sk20' @ '#sk1' ) )
      | ( '#sk11' @ '#sk1' @ X0 )
      | ~ ( '#sk31' @ '#sk1' @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl144,zip_derived_cl1525]) ).

thf(zip_derived_cl111,plain,
    ! [X2: a] :
      ( ~ ( '#sk1' @ ( '#sk55' @ '#sk1' ) )
      | ( X2
        = ( '#sk20' @ '#sk1' ) )
      | ( '#sk11' @ '#sk1' @ X2 )
      | ( '#sk1' @ cC )
      | ~ ( '#sk31' @ '#sk1' @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl109]) ).

thf(zip_derived_cl569_013,plain,
    ~ ( '#sk1' @ cC ),
    inference(simplify,[status(thm)],[zip_derived_cl568]) ).

thf(zip_derived_cl578,plain,
    ! [X2: a] :
      ( ~ ( '#sk1' @ ( '#sk55' @ '#sk1' ) )
      | ( X2
        = ( '#sk20' @ '#sk1' ) )
      | ( '#sk11' @ '#sk1' @ X2 )
      | ~ ( '#sk31' @ '#sk1' @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl111,zip_derived_cl569]) ).

thf(zip_derived_cl1546,plain,
    ! [X0: a] :
      ( ~ ( '#sk31' @ '#sk1' @ X0 )
      | ( '#sk11' @ '#sk1' @ X0 )
      | ( X0
        = ( '#sk20' @ '#sk1' ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl1527,zip_derived_cl578]) ).

thf(zip_derived_cl1553,plain,
    ! [X0: a] :
      ( ( '#sk1' @ ( '#sk31' @ '#sk1' ) )
      | ( ( '#sk363' @ '#sk1' @ X0 @ ( '#sk31' @ '#sk1' ) )
        = ( '#sk20' @ '#sk1' ) )
      | ( '#sk11' @ '#sk1' @ ( '#sk363' @ '#sk1' @ X0 @ ( '#sk31' @ '#sk1' ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl445,zip_derived_cl1546]) ).

thf(zip_derived_cl406_014,plain,
    ~ ( '#sk1' @ ( '#sk31' @ '#sk1' ) ),
    inference(clc,[status(thm)],[zip_derived_cl400,zip_derived_cl122]) ).

thf(zip_derived_cl1567,plain,
    ! [X0: a] :
      ( ( ( '#sk363' @ '#sk1' @ X0 @ ( '#sk31' @ '#sk1' ) )
        = ( '#sk20' @ '#sk1' ) )
      | ( '#sk11' @ '#sk1' @ ( '#sk363' @ '#sk1' @ X0 @ ( '#sk31' @ '#sk1' ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1553,zip_derived_cl406]) ).

thf(zip_derived_cl1648,plain,
    ! [X0: a] :
      ( ~ ( '#sk1' @ ( '#sk11' @ '#sk1' ) )
      | ( '#sk1' @ ( '#sk31' @ '#sk1' ) )
      | ( ( '#sk363' @ '#sk1' @ X0 @ ( '#sk31' @ '#sk1' ) )
        = ( '#sk20' @ '#sk1' ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl304,zip_derived_cl1567]) ).

thf(zip_derived_cl444_015,plain,
    '#sk1' @ ( '#sk11' @ '#sk1' ),
    inference(clc,[status(thm)],[zip_derived_cl432,zip_derived_cl133]) ).

thf(zip_derived_cl406_016,plain,
    ~ ( '#sk1' @ ( '#sk31' @ '#sk1' ) ),
    inference(clc,[status(thm)],[zip_derived_cl400,zip_derived_cl122]) ).

thf(zip_derived_cl1649,plain,
    ! [X0: a] :
      ( ( '#sk363' @ '#sk1' @ X0 @ ( '#sk31' @ '#sk1' ) )
      = ( '#sk20' @ '#sk1' ) ),
    inference(demod,[status(thm)],[zip_derived_cl1648,zip_derived_cl444,zip_derived_cl406]) ).

thf(zip_derived_cl303,plain,
    ! [X0: ( a > $o ) > $o,X2: a,X4: a > $o] :
      ( ( ( '#sk363' @ X0 @ X2 @ X4 )
       != X2 )
      | ( '#sk1' @ X4 )
      | ~ ( '#sk1' @ ( '#sk11' @ X0 ) ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl302]) ).

thf(zip_derived_cl305,plain,
    ! [X0: ( a > $o ) > $o,X2: a,X4: a > $o] :
      ( ( ( '#sk363' @ X0 @ X2 @ X4 )
       != X2 )
      | ( '#sk1' @ X4 )
      | ~ ( '#sk1' @ ( '#sk11' @ X0 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl303]) ).

thf(zip_derived_cl1709,plain,
    ! [X0: a] :
      ( ( ( '#sk20' @ '#sk1' )
       != X0 )
      | ~ ( '#sk1' @ ( '#sk11' @ '#sk1' ) )
      | ( '#sk1' @ ( '#sk31' @ '#sk1' ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1649,zip_derived_cl305]) ).

thf(zip_derived_cl444_017,plain,
    '#sk1' @ ( '#sk11' @ '#sk1' ),
    inference(clc,[status(thm)],[zip_derived_cl432,zip_derived_cl133]) ).

thf(zip_derived_cl1711,plain,
    ! [X0: a] :
      ( ( ( '#sk20' @ '#sk1' )
       != X0 )
      | ( '#sk1' @ ( '#sk31' @ '#sk1' ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl1709,zip_derived_cl444]) ).

thf(zip_derived_cl1712,plain,
    '#sk1' @ ( '#sk31' @ '#sk1' ),
    inference(simplify,[status(thm)],[zip_derived_cl1711]) ).

thf(zip_derived_cl1717,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl406,zip_derived_cl1712]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU861^5 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.KS3dKHfzFX true
% 0.13/0.34  % Computer : n022.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 18:52:56 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
% 0.21/0.66  % Total configuration time : 828
% 0.21/0.66  % Estimated wc time : 1656
% 0.21/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.21/0.78  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 25.77/3.92  % Solved by lams/35_full_unif4.sh.
% 25.77/3.92  % done 201 iterations in 3.130s
% 25.77/3.92  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 25.77/3.92  % SZS output start Refutation
% See solution above
% 25.77/3.92  
% 25.77/3.92  
% 25.77/3.92  % Terminating...
% 26.13/4.03  % Runner terminated.
% 26.13/4.04  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------