TSTP Solution File: SEV044^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV044^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7AFYj3Qcnl 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 19:59:23 EDT 2023

% Result   : Theorem 0.21s 0.82s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   18
% Syntax   : Number of formulae    :   83 (   8 unt;  12 typ;   0 def)
%            Number of atoms       :  484 (   0 equ;   0 cnn)
%            Maximal formula atoms :   32 (   6 avg)
%            Number of connectives : 1653 (  78   ~;  70   |;  38   &;1104   @)
%                                         (   0 <=>; 171  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   22 (  10 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :   99 (  99   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   5 con; 0-3 aty)
%                                         ( 192  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  276 ( 192   ^;  84   !;   0   ?; 276   :)

% Comments : 
%------------------------------------------------------------------------------
thf(b_type,type,
    b: $tType ).

thf(a_type,type,
    a: $tType ).

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

thf('#sk9_type',type,
    '#sk9': b > a ).

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

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

thf('#sk10_type',type,
    '#sk10': b ).

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

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

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

thf('#form7_type',type,
    '#form7': $o ).

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

thf(cTHM506_pme,conjecture,
    ! [Xs: b > $o,Xp: b > a > a > $o] :
      ( ! [Xx: b] :
          ( ( Xs @ Xx )
         => ( ! [Xx0: a,Xy: a,Xz: a] :
                ( ( ( Xp @ Xx @ Xy @ Xz )
                  & ( Xp @ Xx @ Xx0 @ Xy ) )
               => ( Xp @ Xx @ Xx0 @ Xz ) )
            & ! [Xx0: a,Xy: a] :
                ( ( Xp @ Xx @ Xx0 @ Xy )
               => ( Xp @ Xx @ Xy @ Xx0 ) ) ) )
     => ( ! [Xx: b > a,Xy: b > a,Xz: b > a] :
            ( ( ! [Xx0: b] :
                  ( ( Xs @ Xx0 )
                 => ( Xp @ Xx0 @ ( Xy @ Xx0 ) @ ( Xz @ Xx0 ) ) )
              & ! [Xx0: b] :
                  ( ( Xs @ Xx0 )
                 => ( Xp @ Xx0 @ ( Xx @ Xx0 ) @ ( Xy @ Xx0 ) ) ) )
           => ! [Xx0: b] :
                ( ( Xs @ Xx0 )
               => ( Xp @ Xx0 @ ( Xx @ Xx0 ) @ ( Xz @ Xx0 ) ) ) )
        & ! [Xx: b > a,Xy: b > a] :
            ( ! [Xx0: b] :
                ( ( Xs @ Xx0 )
               => ( Xp @ Xx0 @ ( Xx @ Xx0 ) @ ( Xy @ Xx0 ) ) )
           => ! [Xx0: b] :
                ( ( Xs @ Xx0 )
               => ( Xp @ Xx0 @ ( Xy @ Xx0 ) @ ( Xx @ Xx0 ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [Xs: b > $o,Xp: b > a > a > $o] :
        ( ! [Xx: b] :
            ( ( Xs @ Xx )
           => ( ! [Xx0: a,Xy: a,Xz: a] :
                  ( ( ( Xp @ Xx @ Xy @ Xz )
                    & ( Xp @ Xx @ Xx0 @ Xy ) )
                 => ( Xp @ Xx @ Xx0 @ Xz ) )
              & ! [Xx0: a,Xy: a] :
                  ( ( Xp @ Xx @ Xx0 @ Xy )
                 => ( Xp @ Xx @ Xy @ Xx0 ) ) ) )
       => ( ! [Xx: b > a,Xy: b > a,Xz: b > a] :
              ( ( ! [Xx0: b] :
                    ( ( Xs @ Xx0 )
                   => ( Xp @ Xx0 @ ( Xy @ Xx0 ) @ ( Xz @ Xx0 ) ) )
                & ! [Xx0: b] :
                    ( ( Xs @ Xx0 )
                   => ( Xp @ Xx0 @ ( Xx @ Xx0 ) @ ( Xy @ Xx0 ) ) ) )
             => ! [Xx0: b] :
                  ( ( Xs @ Xx0 )
                 => ( Xp @ Xx0 @ ( Xx @ Xx0 ) @ ( Xz @ Xx0 ) ) ) )
          & ! [Xx: b > a,Xy: b > a] :
              ( ! [Xx0: b] :
                  ( ( Xs @ Xx0 )
                 => ( Xp @ Xx0 @ ( Xx @ Xx0 ) @ ( Xy @ Xx0 ) ) )
             => ! [Xx0: b] :
                  ( ( Xs @ Xx0 )
                 => ( Xp @ Xx0 @ ( Xy @ Xx0 ) @ ( Xx @ Xx0 ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM506_pme]) ).

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

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

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

thf(zip_derived_cl4,plain,
    ~ ( ( !!
        @ ^ [Y0: b > a] :
            ( !!
            @ ^ [Y1: b > a] :
                ( !!
                @ ^ [Y2: b > a] :
                    ( ( ( !!
                        @ ^ [Y3: b] :
                            ( ( '#sk1' @ Y3 )
                           => ( '#sk2' @ Y3 @ ( Y1 @ Y3 ) @ ( Y2 @ Y3 ) ) ) )
                      & ( !!
                        @ ^ [Y3: b] :
                            ( ( '#sk1' @ Y3 )
                           => ( '#sk2' @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y3 ) ) ) ) )
                   => ( !!
                      @ ^ [Y3: b] :
                          ( ( '#sk1' @ Y3 )
                         => ( '#sk2' @ Y3 @ ( Y0 @ Y3 ) @ ( Y2 @ Y3 ) ) ) ) ) ) ) )
      & ( !!
        @ ^ [Y0: b > a] :
            ( !!
            @ ^ [Y1: b > a] :
                ( ( !!
                  @ ^ [Y2: b] :
                      ( ( '#sk1' @ Y2 )
                     => ( '#sk2' @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y2 ) ) ) )
               => ( !!
                  @ ^ [Y2: b] :
                      ( ( '#sk1' @ Y2 )
                     => ( '#sk2' @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y2 ) ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl6,plain,
    ( ~ ( !!
        @ ^ [Y0: b > a] :
            ( !!
            @ ^ [Y1: b > a] :
                ( !!
                @ ^ [Y2: b > a] :
                    ( ( ( !!
                        @ ^ [Y3: b] :
                            ( ( '#sk1' @ Y3 )
                           => ( '#sk2' @ Y3 @ ( Y1 @ Y3 ) @ ( Y2 @ Y3 ) ) ) )
                      & ( !!
                        @ ^ [Y3: b] :
                            ( ( '#sk1' @ Y3 )
                           => ( '#sk2' @ Y3 @ ( Y0 @ Y3 ) @ ( Y1 @ Y3 ) ) ) ) )
                   => ( !!
                      @ ^ [Y3: b] :
                          ( ( '#sk1' @ Y3 )
                         => ( '#sk2' @ Y3 @ ( Y0 @ Y3 ) @ ( Y2 @ Y3 ) ) ) ) ) ) ) )
    | ~ ( !!
        @ ^ [Y0: b > a] :
            ( !!
            @ ^ [Y1: b > a] :
                ( ( !!
                  @ ^ [Y2: b] :
                      ( ( '#sk1' @ Y2 )
                     => ( '#sk2' @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y2 ) ) ) )
               => ( !!
                  @ ^ [Y2: b] :
                      ( ( '#sk1' @ Y2 )
                     => ( '#sk2' @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y2 ) ) ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl8,plain,
    ( ~ ( !!
        @ ^ [Y0: b > a] :
            ( !!
            @ ^ [Y1: b > a] :
                ( ( ( !!
                    @ ^ [Y2: b] :
                        ( ( '#sk1' @ Y2 )
                       => ( '#sk2' @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y2 ) ) ) )
                  & ( !!
                    @ ^ [Y2: b] :
                        ( ( '#sk1' @ Y2 )
                       => ( '#sk2' @ Y2 @ ( '#sk3' @ Y2 ) @ ( Y0 @ Y2 ) ) ) ) )
               => ( !!
                  @ ^ [Y2: b] :
                      ( ( '#sk1' @ Y2 )
                     => ( '#sk2' @ Y2 @ ( '#sk3' @ Y2 ) @ ( Y1 @ Y2 ) ) ) ) ) ) )
    | ~ ( !!
        @ ^ [Y0: b > a] :
            ( !!
            @ ^ [Y1: b > a] :
                ( ( !!
                  @ ^ [Y2: b] :
                      ( ( '#sk1' @ Y2 )
                     => ( '#sk2' @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y2 ) ) ) )
               => ( !!
                  @ ^ [Y2: b] :
                      ( ( '#sk1' @ Y2 )
                     => ( '#sk2' @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y2 ) ) ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl11,plain,
    ( ~ ( !!
        @ ^ [Y0: b > a] :
            ( ( ( !!
                @ ^ [Y1: b] :
                    ( ( '#sk1' @ Y1 )
                   => ( '#sk2' @ Y1 @ ( '#sk4' @ Y1 ) @ ( Y0 @ Y1 ) ) ) )
              & ( !!
                @ ^ [Y1: b] :
                    ( ( '#sk1' @ Y1 )
                   => ( '#sk2' @ Y1 @ ( '#sk3' @ Y1 ) @ ( '#sk4' @ Y1 ) ) ) ) )
           => ( !!
              @ ^ [Y1: b] :
                  ( ( '#sk1' @ Y1 )
                 => ( '#sk2' @ Y1 @ ( '#sk3' @ Y1 ) @ ( Y0 @ Y1 ) ) ) ) ) )
    | ~ ( !!
        @ ^ [Y0: b > a] :
            ( !!
            @ ^ [Y1: b > a] :
                ( ( !!
                  @ ^ [Y2: b] :
                      ( ( '#sk1' @ Y2 )
                     => ( '#sk2' @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y2 ) ) ) )
               => ( !!
                  @ ^ [Y2: b] :
                      ( ( '#sk1' @ Y2 )
                     => ( '#sk2' @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y2 ) ) ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl14,plain,
    ( ~ ( ( ( !!
            @ ^ [Y0: b] :
                ( ( '#sk1' @ Y0 )
               => ( '#sk2' @ Y0 @ ( '#sk4' @ Y0 ) @ ( '#sk5' @ Y0 ) ) ) )
          & ( !!
            @ ^ [Y0: b] :
                ( ( '#sk1' @ Y0 )
               => ( '#sk2' @ Y0 @ ( '#sk3' @ Y0 ) @ ( '#sk4' @ Y0 ) ) ) ) )
       => ( !!
          @ ^ [Y0: b] :
              ( ( '#sk1' @ Y0 )
             => ( '#sk2' @ Y0 @ ( '#sk3' @ Y0 ) @ ( '#sk5' @ Y0 ) ) ) ) )
    | ~ ( !!
        @ ^ [Y0: b > a] :
            ( !!
            @ ^ [Y1: b > a] :
                ( ( !!
                  @ ^ [Y2: b] :
                      ( ( '#sk1' @ Y2 )
                     => ( '#sk2' @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y2 ) ) ) )
               => ( !!
                  @ ^ [Y2: b] :
                      ( ( '#sk1' @ Y2 )
                     => ( '#sk2' @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y2 ) ) ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl18,plain,
    ( ~ ( !!
        @ ^ [Y0: b] :
            ( ( '#sk1' @ Y0 )
           => ( '#sk2' @ Y0 @ ( '#sk3' @ Y0 ) @ ( '#sk5' @ Y0 ) ) ) )
    | ~ ( !!
        @ ^ [Y0: b > a] :
            ( !!
            @ ^ [Y1: b > a] :
                ( ( !!
                  @ ^ [Y2: b] :
                      ( ( '#sk1' @ Y2 )
                     => ( '#sk2' @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y2 ) ) ) )
               => ( !!
                  @ ^ [Y2: b] :
                      ( ( '#sk1' @ Y2 )
                     => ( '#sk2' @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y2 ) ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl23,plain,
    ( ~ ( ( '#sk1' @ '#sk6' )
       => ( '#sk2' @ '#sk6' @ ( '#sk3' @ '#sk6' ) @ ( '#sk5' @ '#sk6' ) ) )
    | ~ ( !!
        @ ^ [Y0: b > a] :
            ( !!
            @ ^ [Y1: b > a] :
                ( ( !!
                  @ ^ [Y2: b] :
                      ( ( '#sk1' @ Y2 )
                     => ( '#sk2' @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y2 ) ) ) )
               => ( !!
                  @ ^ [Y2: b] :
                      ( ( '#sk1' @ Y2 )
                     => ( '#sk2' @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y2 ) ) ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl28,plain,
    ( ~ ( '#sk2' @ '#sk6' @ ( '#sk3' @ '#sk6' ) @ ( '#sk5' @ '#sk6' ) )
    | ~ ( !!
        @ ^ [Y0: b > a] :
            ( !!
            @ ^ [Y1: b > a] :
                ( ( !!
                  @ ^ [Y2: b] :
                      ( ( '#sk1' @ Y2 )
                     => ( '#sk2' @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y2 ) ) ) )
               => ( !!
                  @ ^ [Y2: b] :
                      ( ( '#sk1' @ Y2 )
                     => ( '#sk2' @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y2 ) ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl17,plain,
    ( ( ( !!
        @ ^ [Y0: b] :
            ( ( '#sk1' @ Y0 )
           => ( '#sk2' @ Y0 @ ( '#sk4' @ Y0 ) @ ( '#sk5' @ Y0 ) ) ) )
      & ( !!
        @ ^ [Y0: b] :
            ( ( '#sk1' @ Y0 )
           => ( '#sk2' @ Y0 @ ( '#sk3' @ Y0 ) @ ( '#sk4' @ Y0 ) ) ) ) )
    | ~ ( !!
        @ ^ [Y0: b > a] :
            ( !!
            @ ^ [Y1: b > a] :
                ( ( !!
                  @ ^ [Y2: b] :
                      ( ( '#sk1' @ Y2 )
                     => ( '#sk2' @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y2 ) ) ) )
               => ( !!
                  @ ^ [Y2: b] :
                      ( ( '#sk1' @ Y2 )
                     => ( '#sk2' @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y2 ) ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl21,plain,
    ( ( !!
      @ ^ [Y0: b] :
          ( ( '#sk1' @ Y0 )
         => ( '#sk2' @ Y0 @ ( '#sk4' @ Y0 ) @ ( '#sk5' @ Y0 ) ) ) )
    | ~ ( !!
        @ ^ [Y0: b > a] :
            ( !!
            @ ^ [Y1: b > a] :
                ( ( !!
                  @ ^ [Y2: b] :
                      ( ( '#sk1' @ Y2 )
                     => ( '#sk2' @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y2 ) ) ) )
               => ( !!
                  @ ^ [Y2: b] :
                      ( ( '#sk1' @ Y2 )
                     => ( '#sk2' @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y2 ) ) ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl25,plain,
    ! [X2: b] :
      ( ( ( '#sk1' @ X2 )
       => ( '#sk2' @ X2 @ ( '#sk4' @ X2 ) @ ( '#sk5' @ X2 ) ) )
      | ~ ( !!
          @ ^ [Y0: b > a] :
              ( !!
              @ ^ [Y1: b > a] :
                  ( ( !!
                    @ ^ [Y2: b] :
                        ( ( '#sk1' @ Y2 )
                       => ( '#sk2' @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y2 ) ) ) )
                 => ( !!
                    @ ^ [Y2: b] :
                        ( ( '#sk1' @ Y2 )
                       => ( '#sk2' @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y2 ) ) ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl21]) ).

thf(zip_derived_cl30,plain,
    ( '#form7'
    | ~ ( !!
        @ ^ [Y0: b > a] :
            ( !!
            @ ^ [Y1: b > a] :
                ( ( !!
                  @ ^ [Y2: b] :
                      ( ( '#sk1' @ Y2 )
                     => ( '#sk2' @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y2 ) ) ) )
               => ( !!
                  @ ^ [Y2: b] :
                      ( ( '#sk1' @ Y2 )
                     => ( '#sk2' @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y2 ) ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl35,plain,
    ( ~ '#form7'
    | ~ ( '#sk2' @ '#sk6' @ ( '#sk3' @ '#sk6' ) @ ( '#sk5' @ '#sk6' ) ) ),
    inference(renaming,[status(thm)],[zip_derived_cl28,zip_derived_cl30]) ).

thf(zip_derived_cl30_001,plain,
    ( '#form7'
    | ~ ( !!
        @ ^ [Y0: b > a] :
            ( !!
            @ ^ [Y1: b > a] :
                ( ( !!
                  @ ^ [Y2: b] :
                      ( ( '#sk1' @ Y2 )
                     => ( '#sk2' @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y2 ) ) ) )
               => ( !!
                  @ ^ [Y2: b] :
                      ( ( '#sk1' @ Y2 )
                     => ( '#sk2' @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y2 ) ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl31,plain,
    ( ~ ( !!
        @ ^ [Y0: b > a] :
            ( ( !!
              @ ^ [Y1: b] :
                  ( ( '#sk1' @ Y1 )
                 => ( '#sk2' @ Y1 @ ( '#sk8' @ Y1 ) @ ( Y0 @ Y1 ) ) ) )
           => ( !!
              @ ^ [Y1: b] :
                  ( ( '#sk1' @ Y1 )
                 => ( '#sk2' @ Y1 @ ( Y0 @ Y1 ) @ ( '#sk8' @ Y1 ) ) ) ) ) )
    | '#form7' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl30]) ).

thf(zip_derived_cl37,plain,
    ( ~ ( ( !!
          @ ^ [Y0: b] :
              ( ( '#sk1' @ Y0 )
             => ( '#sk2' @ Y0 @ ( '#sk8' @ Y0 ) @ ( '#sk9' @ Y0 ) ) ) )
       => ( !!
          @ ^ [Y0: b] :
              ( ( '#sk1' @ Y0 )
             => ( '#sk2' @ Y0 @ ( '#sk9' @ Y0 ) @ ( '#sk8' @ Y0 ) ) ) ) )
    | '#form7' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl31]) ).

thf(zip_derived_cl39,plain,
    ( ( !!
      @ ^ [Y0: b] :
          ( ( '#sk1' @ Y0 )
         => ( '#sk2' @ Y0 @ ( '#sk8' @ Y0 ) @ ( '#sk9' @ Y0 ) ) ) )
    | '#form7' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl37]) ).

thf(zip_derived_cl41,plain,
    ! [X2: b] :
      ( ( ( '#sk1' @ X2 )
       => ( '#sk2' @ X2 @ ( '#sk8' @ X2 ) @ ( '#sk9' @ X2 ) ) )
      | '#form7' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl39]) ).

thf(zip_derived_cl43,plain,
    ! [X2: b] :
      ( ~ ( '#sk1' @ X2 )
      | ( '#sk2' @ X2 @ ( '#sk8' @ X2 ) @ ( '#sk9' @ X2 ) )
      | '#form7' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl41]) ).

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

thf(zip_derived_cl5,plain,
    ! [X2: b] :
      ( ( '#sk1' @ X2 )
     => ( ( !!
          @ ^ [Y0: a] :
              ( !!
              @ ^ [Y1: a] :
                  ( !!
                  @ ^ [Y2: a] :
                      ( ( ( '#sk2' @ X2 @ Y1 @ Y2 )
                        & ( '#sk2' @ X2 @ Y0 @ Y1 ) )
                     => ( '#sk2' @ X2 @ Y0 @ Y2 ) ) ) ) )
        & ( !!
          @ ^ [Y0: a] :
              ( !!
              @ ^ [Y1: a] :
                  ( ( '#sk2' @ X2 @ Y0 @ Y1 )
                 => ( '#sk2' @ X2 @ Y1 @ Y0 ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl7,plain,
    ! [X2: b] :
      ( ~ ( '#sk1' @ X2 )
      | ( ( !!
          @ ^ [Y0: a] :
              ( !!
              @ ^ [Y1: a] :
                  ( !!
                  @ ^ [Y2: a] :
                      ( ( ( '#sk2' @ X2 @ Y1 @ Y2 )
                        & ( '#sk2' @ X2 @ Y0 @ Y1 ) )
                     => ( '#sk2' @ X2 @ Y0 @ Y2 ) ) ) ) )
        & ( !!
          @ ^ [Y0: a] :
              ( !!
              @ ^ [Y1: a] :
                  ( ( '#sk2' @ X2 @ Y0 @ Y1 )
                 => ( '#sk2' @ X2 @ Y1 @ Y0 ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl10,plain,
    ! [X2: b] :
      ( ( !!
        @ ^ [Y0: a] :
            ( !!
            @ ^ [Y1: a] :
                ( ( '#sk2' @ X2 @ Y0 @ Y1 )
               => ( '#sk2' @ X2 @ Y1 @ Y0 ) ) ) )
      | ~ ( '#sk1' @ X2 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl13,plain,
    ! [X2: b,X4: a] :
      ( ( !!
        @ ^ [Y0: a] :
            ( ( '#sk2' @ X2 @ X4 @ Y0 )
           => ( '#sk2' @ X2 @ Y0 @ X4 ) ) )
      | ~ ( '#sk1' @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl16,plain,
    ! [X2: b,X4: a,X6: a] :
      ( ( ( '#sk2' @ X2 @ X4 @ X6 )
       => ( '#sk2' @ X2 @ X6 @ X4 ) )
      | ~ ( '#sk1' @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl20,plain,
    ! [X2: b,X4: a,X6: a] :
      ( ~ ( '#sk2' @ X2 @ X4 @ X6 )
      | ( '#sk2' @ X2 @ X6 @ X4 )
      | ~ ( '#sk1' @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl16]) ).

thf(zip_derived_cl48,plain,
    ! [X0: b] :
      ( '#form7'
      | ~ ( '#sk1' @ X0 )
      | ~ ( '#sk1' @ X0 )
      | ( '#sk2' @ X0 @ ( '#sk9' @ X0 ) @ ( '#sk8' @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl43,zip_derived_cl20]) ).

thf(zip_derived_cl50,plain,
    ! [X0: b] :
      ( ( '#sk2' @ X0 @ ( '#sk9' @ X0 ) @ ( '#sk8' @ X0 ) )
      | ~ ( '#sk1' @ X0 )
      | '#form7' ),
    inference(simplify,[status(thm)],[zip_derived_cl48]) ).

thf(zip_derived_cl40,plain,
    ( ~ ( !!
        @ ^ [Y0: b] :
            ( ( '#sk1' @ Y0 )
           => ( '#sk2' @ Y0 @ ( '#sk9' @ Y0 ) @ ( '#sk8' @ Y0 ) ) ) )
    | '#form7' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl37]) ).

thf(zip_derived_cl42,plain,
    ( ~ ( ( '#sk1' @ '#sk10' )
       => ( '#sk2' @ '#sk10' @ ( '#sk9' @ '#sk10' ) @ ( '#sk8' @ '#sk10' ) ) )
    | '#form7' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl40]) ).

thf(zip_derived_cl45,plain,
    ( ~ ( '#sk2' @ '#sk10' @ ( '#sk9' @ '#sk10' ) @ ( '#sk8' @ '#sk10' ) )
    | '#form7' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl42]) ).

thf(zip_derived_cl57,plain,
    ( '#form7'
    | ~ ( '#sk1' @ '#sk10' )
    | '#form7' ),
    inference('sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl45]) ).

thf(zip_derived_cl60,plain,
    ( ~ ( '#sk1' @ '#sk10' )
    | '#form7' ),
    inference(simplify,[status(thm)],[zip_derived_cl57]) ).

thf(zip_derived_cl44,plain,
    ( ( '#sk1' @ '#sk10' )
    | '#form7' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl42]) ).

thf(zip_derived_cl64,plain,
    '#form7',
    inference(clc,[status(thm)],[zip_derived_cl60,zip_derived_cl44]) ).

thf(zip_derived_cl66,plain,
    ~ ( '#sk2' @ '#sk6' @ ( '#sk3' @ '#sk6' ) @ ( '#sk5' @ '#sk6' ) ),
    inference(demod,[status(thm)],[zip_derived_cl35,zip_derived_cl64]) ).

thf(zip_derived_cl22,plain,
    ( ( !!
      @ ^ [Y0: b] :
          ( ( '#sk1' @ Y0 )
         => ( '#sk2' @ Y0 @ ( '#sk3' @ Y0 ) @ ( '#sk4' @ Y0 ) ) ) )
    | ~ ( !!
        @ ^ [Y0: b > a] :
            ( !!
            @ ^ [Y1: b > a] :
                ( ( !!
                  @ ^ [Y2: b] :
                      ( ( '#sk1' @ Y2 )
                     => ( '#sk2' @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y2 ) ) ) )
               => ( !!
                  @ ^ [Y2: b] :
                      ( ( '#sk1' @ Y2 )
                     => ( '#sk2' @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y2 ) ) ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl26,plain,
    ! [X2: b] :
      ( ( ( '#sk1' @ X2 )
       => ( '#sk2' @ X2 @ ( '#sk3' @ X2 ) @ ( '#sk4' @ X2 ) ) )
      | ~ ( !!
          @ ^ [Y0: b > a] :
              ( !!
              @ ^ [Y1: b > a] :
                  ( ( !!
                    @ ^ [Y2: b] :
                        ( ( '#sk1' @ Y2 )
                       => ( '#sk2' @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y2 ) ) ) )
                 => ( !!
                    @ ^ [Y2: b] :
                        ( ( '#sk1' @ Y2 )
                       => ( '#sk2' @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y2 ) ) ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl22]) ).

thf(zip_derived_cl30_002,plain,
    ( '#form7'
    | ~ ( !!
        @ ^ [Y0: b > a] :
            ( !!
            @ ^ [Y1: b > a] :
                ( ( !!
                  @ ^ [Y2: b] :
                      ( ( '#sk1' @ Y2 )
                     => ( '#sk2' @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y2 ) ) ) )
               => ( !!
                  @ ^ [Y2: b] :
                      ( ( '#sk1' @ Y2 )
                     => ( '#sk2' @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y2 ) ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl33,plain,
    ! [X2: b] :
      ( ~ '#form7'
      | ( ( '#sk1' @ X2 )
       => ( '#sk2' @ X2 @ ( '#sk3' @ X2 ) @ ( '#sk4' @ X2 ) ) ) ),
    inference(renaming,[status(thm)],[zip_derived_cl26,zip_derived_cl30]) ).

thf(zip_derived_cl38,plain,
    ! [X2: b] :
      ( ~ ( '#sk1' @ X2 )
      | ( '#sk2' @ X2 @ ( '#sk3' @ X2 ) @ ( '#sk4' @ X2 ) )
      | ~ '#form7' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl33]) ).

thf(zip_derived_cl64_003,plain,
    '#form7',
    inference(clc,[status(thm)],[zip_derived_cl60,zip_derived_cl44]) ).

thf(zip_derived_cl91,plain,
    ! [X2: b] :
      ( ~ ( '#sk1' @ X2 )
      | ( '#sk2' @ X2 @ ( '#sk3' @ X2 ) @ ( '#sk4' @ X2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl38,zip_derived_cl64]) ).

thf(zip_derived_cl25_004,plain,
    ! [X2: b] :
      ( ( ( '#sk1' @ X2 )
       => ( '#sk2' @ X2 @ ( '#sk4' @ X2 ) @ ( '#sk5' @ X2 ) ) )
      | ~ ( !!
          @ ^ [Y0: b > a] :
              ( !!
              @ ^ [Y1: b > a] :
                  ( ( !!
                    @ ^ [Y2: b] :
                        ( ( '#sk1' @ Y2 )
                       => ( '#sk2' @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y2 ) ) ) )
                 => ( !!
                    @ ^ [Y2: b] :
                        ( ( '#sk1' @ Y2 )
                       => ( '#sk2' @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y2 ) ) ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl21]) ).

thf(zip_derived_cl30_005,plain,
    ( '#form7'
    | ~ ( !!
        @ ^ [Y0: b > a] :
            ( !!
            @ ^ [Y1: b > a] :
                ( ( !!
                  @ ^ [Y2: b] :
                      ( ( '#sk1' @ Y2 )
                     => ( '#sk2' @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y2 ) ) ) )
               => ( !!
                  @ ^ [Y2: b] :
                      ( ( '#sk1' @ Y2 )
                     => ( '#sk2' @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y2 ) ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl32,plain,
    ! [X2: b] :
      ( ~ '#form7'
      | ( ( '#sk1' @ X2 )
       => ( '#sk2' @ X2 @ ( '#sk4' @ X2 ) @ ( '#sk5' @ X2 ) ) ) ),
    inference(renaming,[status(thm)],[zip_derived_cl25,zip_derived_cl30]) ).

thf(zip_derived_cl36,plain,
    ! [X2: b] :
      ( ~ ( '#sk1' @ X2 )
      | ( '#sk2' @ X2 @ ( '#sk4' @ X2 ) @ ( '#sk5' @ X2 ) )
      | ~ '#form7' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl32]) ).

thf(zip_derived_cl64_006,plain,
    '#form7',
    inference(clc,[status(thm)],[zip_derived_cl60,zip_derived_cl44]) ).

thf(zip_derived_cl74,plain,
    ! [X2: b] :
      ( ~ ( '#sk1' @ X2 )
      | ( '#sk2' @ X2 @ ( '#sk4' @ X2 ) @ ( '#sk5' @ X2 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl36,zip_derived_cl64]) ).

thf(zip_derived_cl9,plain,
    ! [X2: b] :
      ( ( !!
        @ ^ [Y0: a] :
            ( !!
            @ ^ [Y1: a] :
                ( !!
                @ ^ [Y2: a] :
                    ( ( ( '#sk2' @ X2 @ Y1 @ Y2 )
                      & ( '#sk2' @ X2 @ Y0 @ Y1 ) )
                   => ( '#sk2' @ X2 @ Y0 @ Y2 ) ) ) ) )
      | ~ ( '#sk1' @ X2 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl12,plain,
    ! [X2: b,X4: a] :
      ( ( !!
        @ ^ [Y0: a] :
            ( !!
            @ ^ [Y1: a] :
                ( ( ( '#sk2' @ X2 @ Y0 @ Y1 )
                  & ( '#sk2' @ X2 @ X4 @ Y0 ) )
               => ( '#sk2' @ X2 @ X4 @ Y1 ) ) ) )
      | ~ ( '#sk1' @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl15,plain,
    ! [X2: b,X4: a,X6: a] :
      ( ( !!
        @ ^ [Y0: a] :
            ( ( ( '#sk2' @ X2 @ X6 @ Y0 )
              & ( '#sk2' @ X2 @ X4 @ X6 ) )
           => ( '#sk2' @ X2 @ X4 @ Y0 ) ) )
      | ~ ( '#sk1' @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl19,plain,
    ! [X2: b,X4: a,X6: a,X8: a] :
      ( ( ( ( '#sk2' @ X2 @ X6 @ X8 )
          & ( '#sk2' @ X2 @ X4 @ X6 ) )
       => ( '#sk2' @ X2 @ X4 @ X8 ) )
      | ~ ( '#sk1' @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl24,plain,
    ! [X2: b,X4: a,X6: a,X8: a] :
      ( ~ ( ( '#sk2' @ X2 @ X6 @ X8 )
          & ( '#sk2' @ X2 @ X4 @ X6 ) )
      | ( '#sk2' @ X2 @ X4 @ X8 )
      | ~ ( '#sk1' @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl19]) ).

thf(zip_derived_cl29,plain,
    ! [X2: b,X4: a,X6: a,X8: a] :
      ( ~ ( '#sk2' @ X2 @ X6 @ X8 )
      | ~ ( '#sk2' @ X2 @ X4 @ X6 )
      | ~ ( '#sk1' @ X2 )
      | ( '#sk2' @ X2 @ X4 @ X8 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl24]) ).

thf(zip_derived_cl75,plain,
    ! [X0: b,X1: a] :
      ( ~ ( '#sk1' @ X0 )
      | ( '#sk2' @ X0 @ X1 @ ( '#sk5' @ X0 ) )
      | ~ ( '#sk1' @ X0 )
      | ~ ( '#sk2' @ X0 @ X1 @ ( '#sk4' @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl74,zip_derived_cl29]) ).

thf(zip_derived_cl79,plain,
    ! [X0: b,X1: a] :
      ( ~ ( '#sk2' @ X0 @ X1 @ ( '#sk4' @ X0 ) )
      | ( '#sk2' @ X0 @ X1 @ ( '#sk5' @ X0 ) )
      | ~ ( '#sk1' @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl75]) ).

thf(zip_derived_cl111,plain,
    ! [X0: b] :
      ( ~ ( '#sk1' @ X0 )
      | ~ ( '#sk1' @ X0 )
      | ( '#sk2' @ X0 @ ( '#sk3' @ X0 ) @ ( '#sk5' @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl91,zip_derived_cl79]) ).

thf(zip_derived_cl115,plain,
    ! [X0: b] :
      ( ( '#sk2' @ X0 @ ( '#sk3' @ X0 ) @ ( '#sk5' @ X0 ) )
      | ~ ( '#sk1' @ X0 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl111]) ).

thf(zip_derived_cl129,plain,
    ~ ( '#sk1' @ '#sk6' ),
    inference('sup+',[status(thm)],[zip_derived_cl66,zip_derived_cl115]) ).

thf(zip_derived_cl27,plain,
    ( ( '#sk1' @ '#sk6' )
    | ~ ( !!
        @ ^ [Y0: b > a] :
            ( !!
            @ ^ [Y1: b > a] :
                ( ( !!
                  @ ^ [Y2: b] :
                      ( ( '#sk1' @ Y2 )
                     => ( '#sk2' @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y2 ) ) ) )
               => ( !!
                  @ ^ [Y2: b] :
                      ( ( '#sk1' @ Y2 )
                     => ( '#sk2' @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y2 ) ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl30_007,plain,
    ( '#form7'
    | ~ ( !!
        @ ^ [Y0: b > a] :
            ( !!
            @ ^ [Y1: b > a] :
                ( ( !!
                  @ ^ [Y2: b] :
                      ( ( '#sk1' @ Y2 )
                     => ( '#sk2' @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y2 ) ) ) )
               => ( !!
                  @ ^ [Y2: b] :
                      ( ( '#sk1' @ Y2 )
                     => ( '#sk2' @ Y2 @ ( Y1 @ Y2 ) @ ( Y0 @ Y2 ) ) ) ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl34,plain,
    ( ~ '#form7'
    | ( '#sk1' @ '#sk6' ) ),
    inference(renaming,[status(thm)],[zip_derived_cl27,zip_derived_cl30]) ).

thf(zip_derived_cl64_008,plain,
    '#form7',
    inference(clc,[status(thm)],[zip_derived_cl60,zip_derived_cl44]) ).

thf(zip_derived_cl65,plain,
    '#sk1' @ '#sk6',
    inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl64]) ).

thf(zip_derived_cl134,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl129,zip_derived_cl65]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEV044^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.7AFYj3Qcnl true
% 0.17/0.35  % Computer : n022.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Thu Aug 24 01:54:11 EDT 2023
% 0.17/0.35  % CPUTime  : 
% 0.17/0.35  % Running portfolio for 300 s
% 0.17/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.35  % Number of cores: 8
% 0.17/0.35  % Python version: Python 3.6.8
% 0.17/0.35  % 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
% 0.21/0.70  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.78  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.78  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.21/0.82  % Solved by lams/35_full_unif4.sh.
% 0.21/0.82  % done 29 iterations in 0.036s
% 0.21/0.82  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.82  % SZS output start Refutation
% See solution above
% 0.21/0.82  
% 0.21/0.82  
% 0.21/0.82  % Terminating...
% 1.77/0.86  % Runner terminated.
% 1.77/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------