TSTP Solution File: SEV034^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV034^5 : 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.fcUxbapHG5 true

% Computer : n009.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 19:59:21 EDT 2023

% Result   : Theorem 0.57s 0.86s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   70 (  13 unt;   8 typ;   0 def)
%            Number of atoms       :  479 (  23 equ;   0 cnn)
%            Maximal formula atoms :   37 (   7 avg)
%            Number of connectives : 1580 (  42   ~;  27   |;  80   &;1075   @)
%                                         (   0 <=>; 151  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   32 (  11 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :   43 (  43   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   6 usr;   4 con; 0-3 aty)
%                                         ( 205  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  315 ( 205   ^; 110   !;   0   ?; 315   :)

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

thf(b_type,type,
    b: $tType ).

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

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

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

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

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

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

thf(cTHM518_pme,conjecture,
    ! [Xp: a > a > $o,Xq: a > b > b > $o,Xf: a > b,Xg: a > b] :
      ( ! [Xx: a] :
          ( ( Xp @ Xx @ Xx )
         => ( Xq @ Xx @ ( Xf @ Xx ) @ ( Xg @ Xx ) ) )
     => ( ! [Xx: a,Xy: a] :
            ( ( Xp @ Xx @ Xy )
           => ( Xq @ Xx @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) )
       => ( ( ( Xp = Xp )
            & ! [Xx: a,Xy: a,Xz: a] :
                ( ( ( Xp @ Xy @ Xz )
                  & ( Xp @ Xx @ Xy ) )
               => ( Xp @ Xx @ Xz ) )
            & ! [Xx: a,Xy: a] :
                ( ( Xp @ Xx @ Xy )
               => ( Xp @ Xy @ Xx ) ) )
         => ( ! [Xx: a,Xy: a] :
                ( ( Xp @ Xx @ Xy )
               => ( ( ( Xq @ Xx )
                    = ( Xq @ Xy ) )
                  & ! [Xx0: b,Xy0: b,Xz: b] :
                      ( ( ( Xq @ Xx @ Xy0 @ Xz )
                        & ( Xq @ Xx @ Xx0 @ Xy0 ) )
                     => ( Xq @ Xx @ Xx0 @ Xz ) )
                  & ! [Xx0: b,Xy0: b] :
                      ( ( Xq @ Xx @ Xx0 @ Xy0 )
                     => ( Xq @ Xx @ Xy0 @ Xx0 ) ) ) )
           => ! [Xx: a,Xy: a] :
                ( ( Xp @ Xx @ Xy )
               => ( Xq @ Xx @ ( Xf @ Xx ) @ ( Xg @ Xy ) ) ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [Xp: a > a > $o,Xq: a > b > b > $o,Xf: a > b,Xg: a > b] :
        ( ! [Xx: a] :
            ( ( Xp @ Xx @ Xx )
           => ( Xq @ Xx @ ( Xf @ Xx ) @ ( Xg @ Xx ) ) )
       => ( ! [Xx: a,Xy: a] :
              ( ( Xp @ Xx @ Xy )
             => ( Xq @ Xx @ ( Xf @ Xx ) @ ( Xf @ Xy ) ) )
         => ( ( ( Xp = Xp )
              & ! [Xx: a,Xy: a,Xz: a] :
                  ( ( ( Xp @ Xy @ Xz )
                    & ( Xp @ Xx @ Xy ) )
                 => ( Xp @ Xx @ Xz ) )
              & ! [Xx: a,Xy: a] :
                  ( ( Xp @ Xx @ Xy )
                 => ( Xp @ Xy @ Xx ) ) )
           => ( ! [Xx: a,Xy: a] :
                  ( ( Xp @ Xx @ Xy )
                 => ( ( ( Xq @ Xx )
                      = ( Xq @ Xy ) )
                    & ! [Xx0: b,Xy0: b,Xz: b] :
                        ( ( ( Xq @ Xx @ Xy0 @ Xz )
                          & ( Xq @ Xx @ Xx0 @ Xy0 ) )
                       => ( Xq @ Xx @ Xx0 @ Xz ) )
                    & ! [Xx0: b,Xy0: b] :
                        ( ( Xq @ Xx @ Xx0 @ Xy0 )
                       => ( Xq @ Xx @ Xy0 @ Xx0 ) ) ) )
             => ! [Xx: a,Xy: a] :
                  ( ( Xp @ Xx @ Xy )
                 => ( Xq @ Xx @ ( Xf @ Xx ) @ ( Xg @ Xy ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM518_pme]) ).

thf(zip_derived_cl0,plain,
    ~ ( !!
      @ ^ [Y0: a > a > $o] :
          ( !!
          @ ^ [Y1: a > b > b > $o] :
              ( !!
              @ ^ [Y2: a > b] :
                  ( !!
                  @ ^ [Y3: a > b] :
                      ( ( !!
                        @ ^ [Y4: a] :
                            ( ( Y0 @ Y4 @ Y4 )
                           => ( Y1 @ Y4 @ ( Y2 @ Y4 ) @ ( Y3 @ Y4 ) ) ) )
                     => ( ( !!
                          @ ^ [Y4: a] :
                              ( !!
                              @ ^ [Y5: a] :
                                  ( ( Y0 @ Y4 @ Y5 )
                                 => ( Y1 @ Y4 @ ( Y2 @ Y4 ) @ ( Y2 @ Y5 ) ) ) ) )
                       => ( ( ( Y0 = Y0 )
                            & ( !!
                              @ ^ [Y4: a] :
                                  ( !!
                                  @ ^ [Y5: a] :
                                      ( !!
                                      @ ^ [Y6: a] :
                                          ( ( ( Y0 @ Y5 @ Y6 )
                                            & ( Y0 @ Y4 @ Y5 ) )
                                         => ( Y0 @ Y4 @ Y6 ) ) ) ) )
                            & ( !!
                              @ ^ [Y4: a] :
                                  ( !!
                                  @ ^ [Y5: a] :
                                      ( ( Y0 @ Y4 @ Y5 )
                                     => ( Y0 @ Y5 @ Y4 ) ) ) ) )
                         => ( ( !!
                              @ ^ [Y4: a] :
                                  ( !!
                                  @ ^ [Y5: a] :
                                      ( ( Y0 @ Y4 @ Y5 )
                                     => ( ( ( Y1 @ Y4 )
                                          = ( Y1 @ Y5 ) )
                                        & ( !!
                                          @ ^ [Y6: b] :
                                              ( !!
                                              @ ^ [Y7: b] :
                                                  ( !!
                                                  @ ^ [Y8: b] :
                                                      ( ( ( Y1 @ Y4 @ Y7 @ Y8 )
                                                        & ( Y1 @ Y4 @ Y6 @ Y7 ) )
                                                     => ( Y1 @ Y4 @ Y6 @ Y8 ) ) ) ) )
                                        & ( !!
                                          @ ^ [Y6: b] :
                                              ( !!
                                              @ ^ [Y7: b] :
                                                  ( ( Y1 @ Y4 @ Y6 @ Y7 )
                                                 => ( Y1 @ Y4 @ Y7 @ Y6 ) ) ) ) ) ) ) )
                           => ( !!
                              @ ^ [Y4: a] :
                                  ( !!
                                  @ ^ [Y5: a] :
                                      ( ( Y0 @ Y4 @ Y5 )
                                     => ( Y1 @ Y4 @ ( Y2 @ Y4 ) @ ( Y3 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ~ ( !!
      @ ^ [Y0: a > a > $o] :
          ( !!
          @ ^ [Y1: a > b > b > $o] :
              ( !!
              @ ^ [Y2: a > b] :
                  ( !!
                  @ ^ [Y3: a > b] :
                      ( ( !!
                        @ ^ [Y4: a] :
                            ( ( Y0 @ Y4 @ Y4 )
                           => ( Y1 @ Y4 @ ( Y2 @ Y4 ) @ ( Y3 @ Y4 ) ) ) )
                     => ( ( !!
                          @ ^ [Y4: a] :
                              ( !!
                              @ ^ [Y5: a] :
                                  ( ( Y0 @ Y4 @ Y5 )
                                 => ( Y1 @ Y4 @ ( Y2 @ Y4 ) @ ( Y2 @ Y5 ) ) ) ) )
                       => ( ( ( !!
                              @ ^ [Y4: a] :
                                  ( !!
                                  @ ^ [Y5: a] :
                                      ( ( Y0 @ Y4 @ Y5 )
                                     => ( Y0 @ Y5 @ Y4 ) ) ) )
                            & ( !!
                              @ ^ [Y4: a] :
                                  ( !!
                                  @ ^ [Y5: a] :
                                      ( !!
                                      @ ^ [Y6: a] :
                                          ( ( ( Y0 @ Y5 @ Y6 )
                                            & ( Y0 @ Y4 @ Y5 ) )
                                         => ( Y0 @ Y4 @ Y6 ) ) ) ) ) )
                         => ( ( !!
                              @ ^ [Y4: a] :
                                  ( !!
                                  @ ^ [Y5: a] :
                                      ( ( Y0 @ Y4 @ Y5 )
                                     => ( ( ( Y1 @ Y4 )
                                          = ( Y1 @ Y5 ) )
                                        & ( !!
                                          @ ^ [Y6: b] :
                                              ( !!
                                              @ ^ [Y7: b] :
                                                  ( !!
                                                  @ ^ [Y8: b] :
                                                      ( ( ( Y1 @ Y4 @ Y7 @ Y8 )
                                                        & ( Y1 @ Y4 @ Y6 @ Y7 ) )
                                                     => ( Y1 @ Y4 @ Y6 @ Y8 ) ) ) ) )
                                        & ( !!
                                          @ ^ [Y6: b] :
                                              ( !!
                                              @ ^ [Y7: b] :
                                                  ( ( Y1 @ Y4 @ Y6 @ Y7 )
                                                 => ( Y1 @ Y4 @ Y7 @ Y6 ) ) ) ) ) ) ) )
                           => ( !!
                              @ ^ [Y4: a] :
                                  ( !!
                                  @ ^ [Y5: a] :
                                      ( ( Y0 @ Y4 @ Y5 )
                                     => ( Y1 @ Y4 @ ( Y2 @ Y4 ) @ ( Y3 @ Y5 ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ~ ( !!
      @ ^ [Y0: a > b > b > $o] :
          ( !!
          @ ^ [Y1: a > b] :
              ( !!
              @ ^ [Y2: a > b] :
                  ( ( !!
                    @ ^ [Y3: a] :
                        ( ( '#sk1' @ Y3 @ Y3 )
                       => ( Y0 @ Y3 @ ( Y1 @ Y3 ) @ ( Y2 @ Y3 ) ) ) )
                 => ( ( !!
                      @ ^ [Y3: a] :
                          ( !!
                          @ ^ [Y4: a] :
                              ( ( '#sk1' @ Y3 @ Y4 )
                             => ( Y0 @ Y3 @ ( Y1 @ Y3 ) @ ( Y1 @ Y4 ) ) ) ) )
                   => ( ( ( !!
                          @ ^ [Y3: a] :
                              ( !!
                              @ ^ [Y4: a] :
                                  ( ( '#sk1' @ Y3 @ Y4 )
                                 => ( '#sk1' @ Y4 @ Y3 ) ) ) )
                        & ( !!
                          @ ^ [Y3: a] :
                              ( !!
                              @ ^ [Y4: a] :
                                  ( !!
                                  @ ^ [Y5: a] :
                                      ( ( ( '#sk1' @ Y4 @ Y5 )
                                        & ( '#sk1' @ Y3 @ Y4 ) )
                                     => ( '#sk1' @ Y3 @ Y5 ) ) ) ) ) )
                     => ( ( !!
                          @ ^ [Y3: a] :
                              ( !!
                              @ ^ [Y4: a] :
                                  ( ( '#sk1' @ Y3 @ Y4 )
                                 => ( ( ( Y0 @ Y3 )
                                      = ( Y0 @ Y4 ) )
                                    & ( !!
                                      @ ^ [Y5: b] :
                                          ( !!
                                          @ ^ [Y6: b] :
                                              ( !!
                                              @ ^ [Y7: b] :
                                                  ( ( ( Y0 @ Y3 @ Y6 @ Y7 )
                                                    & ( Y0 @ Y3 @ Y5 @ Y6 ) )
                                                 => ( Y0 @ Y3 @ Y5 @ Y7 ) ) ) ) )
                                    & ( !!
                                      @ ^ [Y5: b] :
                                          ( !!
                                          @ ^ [Y6: b] :
                                              ( ( Y0 @ Y3 @ Y5 @ Y6 )
                                             => ( Y0 @ Y3 @ Y6 @ Y5 ) ) ) ) ) ) ) )
                       => ( !!
                          @ ^ [Y3: a] :
                              ( !!
                              @ ^ [Y4: a] :
                                  ( ( '#sk1' @ Y3 @ Y4 )
                                 => ( Y0 @ Y3 @ ( Y1 @ Y3 ) @ ( Y2 @ Y4 ) ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl3,plain,
    ~ ( !!
      @ ^ [Y0: a > b] :
          ( !!
          @ ^ [Y1: a > b] :
              ( ( !!
                @ ^ [Y2: a] :
                    ( ( '#sk1' @ Y2 @ Y2 )
                   => ( '#sk2' @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y2 ) ) ) )
             => ( ( !!
                  @ ^ [Y2: a] :
                      ( !!
                      @ ^ [Y3: a] :
                          ( ( '#sk1' @ Y2 @ Y3 )
                         => ( '#sk2' @ Y2 @ ( Y0 @ Y2 ) @ ( Y0 @ Y3 ) ) ) ) )
               => ( ( ( !!
                      @ ^ [Y2: a] :
                          ( !!
                          @ ^ [Y3: a] :
                              ( ( '#sk1' @ Y2 @ Y3 )
                             => ( '#sk1' @ Y3 @ Y2 ) ) ) )
                    & ( !!
                      @ ^ [Y2: a] :
                          ( !!
                          @ ^ [Y3: a] :
                              ( !!
                              @ ^ [Y4: a] :
                                  ( ( ( '#sk1' @ Y3 @ Y4 )
                                    & ( '#sk1' @ Y2 @ Y3 ) )
                                 => ( '#sk1' @ Y2 @ Y4 ) ) ) ) ) )
                 => ( ( !!
                      @ ^ [Y2: a] :
                          ( !!
                          @ ^ [Y3: a] :
                              ( ( '#sk1' @ Y2 @ Y3 )
                             => ( ( ( '#sk2' @ Y2 )
                                  = ( '#sk2' @ Y3 ) )
                                & ( !!
                                  @ ^ [Y4: b] :
                                      ( !!
                                      @ ^ [Y5: b] :
                                          ( !!
                                          @ ^ [Y6: b] :
                                              ( ( ( '#sk2' @ Y2 @ Y5 @ Y6 )
                                                & ( '#sk2' @ Y2 @ Y4 @ Y5 ) )
                                             => ( '#sk2' @ Y2 @ Y4 @ Y6 ) ) ) ) )
                                & ( !!
                                  @ ^ [Y4: b] :
                                      ( !!
                                      @ ^ [Y5: b] :
                                          ( ( '#sk2' @ Y2 @ Y4 @ Y5 )
                                         => ( '#sk2' @ Y2 @ Y5 @ Y4 ) ) ) ) ) ) ) )
                   => ( !!
                      @ ^ [Y2: a] :
                          ( !!
                          @ ^ [Y3: a] :
                              ( ( '#sk1' @ Y2 @ Y3 )
                             => ( '#sk2' @ Y2 @ ( Y0 @ Y2 ) @ ( Y1 @ Y3 ) ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl4,plain,
    ~ ( !!
      @ ^ [Y0: a > b] :
          ( ( !!
            @ ^ [Y1: a] :
                ( ( '#sk1' @ Y1 @ Y1 )
               => ( '#sk2' @ Y1 @ ( '#sk3' @ Y1 ) @ ( Y0 @ Y1 ) ) ) )
         => ( ( !!
              @ ^ [Y1: a] :
                  ( !!
                  @ ^ [Y2: a] :
                      ( ( '#sk1' @ Y1 @ Y2 )
                     => ( '#sk2' @ Y1 @ ( '#sk3' @ Y1 ) @ ( '#sk3' @ Y2 ) ) ) ) )
           => ( ( ( !!
                  @ ^ [Y1: a] :
                      ( !!
                      @ ^ [Y2: a] :
                          ( ( '#sk1' @ Y1 @ Y2 )
                         => ( '#sk1' @ Y2 @ Y1 ) ) ) )
                & ( !!
                  @ ^ [Y1: a] :
                      ( !!
                      @ ^ [Y2: a] :
                          ( !!
                          @ ^ [Y3: a] :
                              ( ( ( '#sk1' @ Y2 @ Y3 )
                                & ( '#sk1' @ Y1 @ Y2 ) )
                             => ( '#sk1' @ Y1 @ Y3 ) ) ) ) ) )
             => ( ( !!
                  @ ^ [Y1: a] :
                      ( !!
                      @ ^ [Y2: a] :
                          ( ( '#sk1' @ Y1 @ Y2 )
                         => ( ( ( '#sk2' @ Y1 )
                              = ( '#sk2' @ Y2 ) )
                            & ( !!
                              @ ^ [Y3: b] :
                                  ( !!
                                  @ ^ [Y4: b] :
                                      ( !!
                                      @ ^ [Y5: b] :
                                          ( ( ( '#sk2' @ Y1 @ Y4 @ Y5 )
                                            & ( '#sk2' @ Y1 @ Y3 @ Y4 ) )
                                         => ( '#sk2' @ Y1 @ Y3 @ Y5 ) ) ) ) )
                            & ( !!
                              @ ^ [Y3: b] :
                                  ( !!
                                  @ ^ [Y4: b] :
                                      ( ( '#sk2' @ Y1 @ Y3 @ Y4 )
                                     => ( '#sk2' @ Y1 @ Y4 @ Y3 ) ) ) ) ) ) ) )
               => ( !!
                  @ ^ [Y1: a] :
                      ( !!
                      @ ^ [Y2: a] :
                          ( ( '#sk1' @ Y1 @ Y2 )
                         => ( '#sk2' @ Y1 @ ( '#sk3' @ Y1 ) @ ( Y0 @ Y2 ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl5,plain,
    ~ ( ( !!
        @ ^ [Y0: a] :
            ( ( '#sk1' @ Y0 @ Y0 )
           => ( '#sk2' @ Y0 @ ( '#sk3' @ Y0 ) @ ( '#sk4' @ Y0 ) ) ) )
     => ( ( !!
          @ ^ [Y0: a] :
              ( !!
              @ ^ [Y1: a] :
                  ( ( '#sk1' @ Y0 @ Y1 )
                 => ( '#sk2' @ Y0 @ ( '#sk3' @ Y0 ) @ ( '#sk3' @ Y1 ) ) ) ) )
       => ( ( ( !!
              @ ^ [Y0: a] :
                  ( !!
                  @ ^ [Y1: a] :
                      ( ( '#sk1' @ Y0 @ Y1 )
                     => ( '#sk1' @ Y1 @ Y0 ) ) ) )
            & ( !!
              @ ^ [Y0: a] :
                  ( !!
                  @ ^ [Y1: a] :
                      ( !!
                      @ ^ [Y2: a] :
                          ( ( ( '#sk1' @ Y1 @ Y2 )
                            & ( '#sk1' @ Y0 @ Y1 ) )
                         => ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) )
         => ( ( !!
              @ ^ [Y0: a] :
                  ( !!
                  @ ^ [Y1: a] :
                      ( ( '#sk1' @ Y0 @ Y1 )
                     => ( ( ( '#sk2' @ Y0 )
                          = ( '#sk2' @ Y1 ) )
                        & ( !!
                          @ ^ [Y2: b] :
                              ( !!
                              @ ^ [Y3: b] :
                                  ( !!
                                  @ ^ [Y4: b] :
                                      ( ( ( '#sk2' @ Y0 @ Y3 @ Y4 )
                                        & ( '#sk2' @ Y0 @ Y2 @ Y3 ) )
                                     => ( '#sk2' @ Y0 @ Y2 @ Y4 ) ) ) ) )
                        & ( !!
                          @ ^ [Y2: b] :
                              ( !!
                              @ ^ [Y3: b] :
                                  ( ( '#sk2' @ Y0 @ Y2 @ Y3 )
                                 => ( '#sk2' @ Y0 @ Y3 @ Y2 ) ) ) ) ) ) ) )
           => ( !!
              @ ^ [Y0: a] :
                  ( !!
                  @ ^ [Y1: a] :
                      ( ( '#sk1' @ Y0 @ Y1 )
                     => ( '#sk2' @ Y0 @ ( '#sk3' @ Y0 ) @ ( '#sk4' @ Y1 ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl7,plain,
    ~ ( ( !!
        @ ^ [Y0: a] :
            ( !!
            @ ^ [Y1: a] :
                ( ( '#sk1' @ Y0 @ Y1 )
               => ( '#sk2' @ Y0 @ ( '#sk3' @ Y0 ) @ ( '#sk3' @ Y1 ) ) ) ) )
     => ( ( ( !!
            @ ^ [Y0: a] :
                ( !!
                @ ^ [Y1: a] :
                    ( ( '#sk1' @ Y0 @ Y1 )
                   => ( '#sk1' @ Y1 @ Y0 ) ) ) )
          & ( !!
            @ ^ [Y0: a] :
                ( !!
                @ ^ [Y1: a] :
                    ( !!
                    @ ^ [Y2: a] :
                        ( ( ( '#sk1' @ Y1 @ Y2 )
                          & ( '#sk1' @ Y0 @ Y1 ) )
                       => ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) )
       => ( ( !!
            @ ^ [Y0: a] :
                ( !!
                @ ^ [Y1: a] :
                    ( ( '#sk1' @ Y0 @ Y1 )
                   => ( ( ( '#sk2' @ Y0 )
                        = ( '#sk2' @ Y1 ) )
                      & ( !!
                        @ ^ [Y2: b] :
                            ( !!
                            @ ^ [Y3: b] :
                                ( !!
                                @ ^ [Y4: b] :
                                    ( ( ( '#sk2' @ Y0 @ Y3 @ Y4 )
                                      & ( '#sk2' @ Y0 @ Y2 @ Y3 ) )
                                   => ( '#sk2' @ Y0 @ Y2 @ Y4 ) ) ) ) )
                      & ( !!
                        @ ^ [Y2: b] :
                            ( !!
                            @ ^ [Y3: b] :
                                ( ( '#sk2' @ Y0 @ Y2 @ Y3 )
                               => ( '#sk2' @ Y0 @ Y3 @ Y2 ) ) ) ) ) ) ) )
         => ( !!
            @ ^ [Y0: a] :
                ( !!
                @ ^ [Y1: a] :
                    ( ( '#sk1' @ Y0 @ Y1 )
                   => ( '#sk2' @ Y0 @ ( '#sk3' @ Y0 ) @ ( '#sk4' @ Y1 ) ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl10,plain,
    ~ ( ( ( !!
          @ ^ [Y0: a] :
              ( !!
              @ ^ [Y1: a] :
                  ( ( '#sk1' @ Y0 @ Y1 )
                 => ( '#sk1' @ Y1 @ Y0 ) ) ) )
        & ( !!
          @ ^ [Y0: a] :
              ( !!
              @ ^ [Y1: a] :
                  ( !!
                  @ ^ [Y2: a] :
                      ( ( ( '#sk1' @ Y1 @ Y2 )
                        & ( '#sk1' @ Y0 @ Y1 ) )
                     => ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) )
     => ( ( !!
          @ ^ [Y0: a] :
              ( !!
              @ ^ [Y1: a] :
                  ( ( '#sk1' @ Y0 @ Y1 )
                 => ( ( ( '#sk2' @ Y0 )
                      = ( '#sk2' @ Y1 ) )
                    & ( !!
                      @ ^ [Y2: b] :
                          ( !!
                          @ ^ [Y3: b] :
                              ( !!
                              @ ^ [Y4: b] :
                                  ( ( ( '#sk2' @ Y0 @ Y3 @ Y4 )
                                    & ( '#sk2' @ Y0 @ Y2 @ Y3 ) )
                                 => ( '#sk2' @ Y0 @ Y2 @ Y4 ) ) ) ) )
                    & ( !!
                      @ ^ [Y2: b] :
                          ( !!
                          @ ^ [Y3: b] :
                              ( ( '#sk2' @ Y0 @ Y2 @ Y3 )
                             => ( '#sk2' @ Y0 @ Y3 @ Y2 ) ) ) ) ) ) ) )
       => ( !!
          @ ^ [Y0: a] :
              ( !!
              @ ^ [Y1: a] :
                  ( ( '#sk1' @ Y0 @ Y1 )
                 => ( '#sk2' @ Y0 @ ( '#sk3' @ Y0 ) @ ( '#sk4' @ Y1 ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl14,plain,
    ~ ( ( !!
        @ ^ [Y0: a] :
            ( !!
            @ ^ [Y1: a] :
                ( ( '#sk1' @ Y0 @ Y1 )
               => ( ( ( '#sk2' @ Y0 )
                    = ( '#sk2' @ Y1 ) )
                  & ( !!
                    @ ^ [Y2: b] :
                        ( !!
                        @ ^ [Y3: b] :
                            ( !!
                            @ ^ [Y4: b] :
                                ( ( ( '#sk2' @ Y0 @ Y3 @ Y4 )
                                  & ( '#sk2' @ Y0 @ Y2 @ Y3 ) )
                               => ( '#sk2' @ Y0 @ Y2 @ Y4 ) ) ) ) )
                  & ( !!
                    @ ^ [Y2: b] :
                        ( !!
                        @ ^ [Y3: b] :
                            ( ( '#sk2' @ Y0 @ Y2 @ Y3 )
                           => ( '#sk2' @ Y0 @ Y3 @ Y2 ) ) ) ) ) ) ) )
     => ( !!
        @ ^ [Y0: a] :
            ( !!
            @ ^ [Y1: a] :
                ( ( '#sk1' @ Y0 @ Y1 )
               => ( '#sk2' @ Y0 @ ( '#sk3' @ Y0 ) @ ( '#sk4' @ Y1 ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl18,plain,
    ( !!
    @ ^ [Y0: a] :
        ( !!
        @ ^ [Y1: a] :
            ( ( '#sk1' @ Y0 @ Y1 )
           => ( ( ( '#sk2' @ Y0 )
                = ( '#sk2' @ Y1 ) )
              & ( !!
                @ ^ [Y2: b] :
                    ( !!
                    @ ^ [Y3: b] :
                        ( !!
                        @ ^ [Y4: b] :
                            ( ( ( '#sk2' @ Y0 @ Y3 @ Y4 )
                              & ( '#sk2' @ Y0 @ Y2 @ Y3 ) )
                           => ( '#sk2' @ Y0 @ Y2 @ Y4 ) ) ) ) )
              & ( !!
                @ ^ [Y2: b] :
                    ( !!
                    @ ^ [Y3: b] :
                        ( ( '#sk2' @ Y0 @ Y2 @ Y3 )
                       => ( '#sk2' @ Y0 @ Y3 @ Y2 ) ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl23,plain,
    ! [X2: a] :
      ( !!
      @ ^ [Y0: a] :
          ( ( '#sk1' @ X2 @ Y0 )
         => ( ( ( '#sk2' @ X2 )
              = ( '#sk2' @ Y0 ) )
            & ( !!
              @ ^ [Y1: b] :
                  ( !!
                  @ ^ [Y2: b] :
                      ( !!
                      @ ^ [Y3: b] :
                          ( ( ( '#sk2' @ X2 @ Y2 @ Y3 )
                            & ( '#sk2' @ X2 @ Y1 @ Y2 ) )
                         => ( '#sk2' @ X2 @ Y1 @ Y3 ) ) ) ) )
            & ( !!
              @ ^ [Y1: b] :
                  ( !!
                  @ ^ [Y2: b] :
                      ( ( '#sk2' @ X2 @ Y1 @ Y2 )
                     => ( '#sk2' @ X2 @ Y2 @ Y1 ) ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl27,plain,
    ! [X2: a,X4: a] :
      ( ( '#sk1' @ X2 @ X4 )
     => ( ( ( '#sk2' @ X2 )
          = ( '#sk2' @ X4 ) )
        & ( !!
          @ ^ [Y0: b] :
              ( !!
              @ ^ [Y1: b] :
                  ( !!
                  @ ^ [Y2: b] :
                      ( ( ( '#sk2' @ X2 @ Y1 @ Y2 )
                        & ( '#sk2' @ X2 @ Y0 @ Y1 ) )
                     => ( '#sk2' @ X2 @ Y0 @ Y2 ) ) ) ) )
        & ( !!
          @ ^ [Y0: b] :
              ( !!
              @ ^ [Y1: b] :
                  ( ( '#sk2' @ X2 @ Y0 @ Y1 )
                 => ( '#sk2' @ X2 @ Y1 @ Y0 ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl31,plain,
    ! [X2: a,X4: a] :
      ( ~ ( '#sk1' @ X2 @ X4 )
      | ( ( ( '#sk2' @ X2 )
          = ( '#sk2' @ X4 ) )
        & ( !!
          @ ^ [Y0: b] :
              ( !!
              @ ^ [Y1: b] :
                  ( !!
                  @ ^ [Y2: b] :
                      ( ( ( '#sk2' @ X2 @ Y1 @ Y2 )
                        & ( '#sk2' @ X2 @ Y0 @ Y1 ) )
                     => ( '#sk2' @ X2 @ Y0 @ Y2 ) ) ) ) )
        & ( !!
          @ ^ [Y0: b] :
              ( !!
              @ ^ [Y1: b] :
                  ( ( '#sk2' @ X2 @ Y0 @ Y1 )
                 => ( '#sk2' @ X2 @ Y1 @ Y0 ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl27]) ).

thf(zip_derived_cl35,plain,
    ! [X2: a,X4: a] :
      ( ( ( '#sk2' @ X2 )
        = ( '#sk2' @ X4 ) )
      | ~ ( '#sk1' @ X2 @ X4 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl31]) ).

thf(zip_derived_cl39,plain,
    ! [X2: a,X4: a] :
      ( ( ( '#sk2' @ X2 )
        = ( '#sk2' @ X4 ) )
      | ~ ( '#sk1' @ X2 @ X4 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl35]) ).

thf(zip_derived_cl19,plain,
    ~ ( !!
      @ ^ [Y0: a] :
          ( !!
          @ ^ [Y1: a] :
              ( ( '#sk1' @ Y0 @ Y1 )
             => ( '#sk2' @ Y0 @ ( '#sk3' @ Y0 ) @ ( '#sk4' @ Y1 ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl24,plain,
    ~ ( !!
      @ ^ [Y0: a] :
          ( ( '#sk1' @ '#sk5' @ Y0 )
         => ( '#sk2' @ '#sk5' @ ( '#sk3' @ '#sk5' ) @ ( '#sk4' @ Y0 ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl19]) ).

thf(zip_derived_cl28,plain,
    ~ ( ( '#sk1' @ '#sk5' @ '#sk6' )
     => ( '#sk2' @ '#sk5' @ ( '#sk3' @ '#sk5' ) @ ( '#sk4' @ '#sk6' ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl24]) ).

thf(zip_derived_cl32,plain,
    '#sk1' @ '#sk5' @ '#sk6',
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl28]) ).

thf(zip_derived_cl13,plain,
    ( ( !!
      @ ^ [Y0: a] :
          ( !!
          @ ^ [Y1: a] :
              ( ( '#sk1' @ Y0 @ Y1 )
             => ( '#sk1' @ Y1 @ Y0 ) ) ) )
    & ( !!
      @ ^ [Y0: a] :
          ( !!
          @ ^ [Y1: a] :
              ( !!
              @ ^ [Y2: a] :
                  ( ( ( '#sk1' @ Y1 @ Y2 )
                    & ( '#sk1' @ Y0 @ Y1 ) )
                 => ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl16,plain,
    ( !!
    @ ^ [Y0: a] :
        ( !!
        @ ^ [Y1: a] :
            ( ( '#sk1' @ Y0 @ Y1 )
           => ( '#sk1' @ Y1 @ Y0 ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl13]) ).

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

thf(zip_derived_cl25,plain,
    ! [X2: a,X4: a] :
      ( ( '#sk1' @ X2 @ X4 )
     => ( '#sk1' @ X4 @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl21]) ).

thf(zip_derived_cl29,plain,
    ! [X2: a,X4: a] :
      ( ~ ( '#sk1' @ X2 @ X4 )
      | ( '#sk1' @ X4 @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).

thf(zip_derived_cl48,plain,
    '#sk1' @ '#sk6' @ '#sk5',
    inference('sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl29]) ).

thf(zip_derived_cl54,plain,
    ( ( '#sk2' @ '#sk6' )
    = ( '#sk2' @ '#sk5' ) ),
    inference('sup+',[status(thm)],[zip_derived_cl39,zip_derived_cl48]) ).

thf(zip_derived_cl63,plain,
    ! [X1: b,X2: b] :
      ( ( '#sk2' @ '#sk6' @ X1 @ X2 )
      = ( '#sk2' @ '#sk5' @ X1 @ X2 ) ),
    inference(ho_complete_eq,[status(thm)],[zip_derived_cl54]) ).

thf(zip_derived_cl33,plain,
    ~ ( '#sk2' @ '#sk5' @ ( '#sk3' @ '#sk5' ) @ ( '#sk4' @ '#sk6' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl28]) ).

thf(zip_derived_cl76,plain,
    ~ ( '#sk2' @ '#sk6' @ ( '#sk3' @ '#sk5' ) @ ( '#sk4' @ '#sk6' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl63,zip_derived_cl33]) ).

thf(zip_derived_cl63_001,plain,
    ! [X1: b,X2: b] :
      ( ( '#sk2' @ '#sk6' @ X1 @ X2 )
      = ( '#sk2' @ '#sk5' @ X1 @ X2 ) ),
    inference(ho_complete_eq,[status(thm)],[zip_derived_cl54]) ).

thf(zip_derived_cl9,plain,
    ( !!
    @ ^ [Y0: a] :
        ( !!
        @ ^ [Y1: a] :
            ( ( '#sk1' @ Y0 @ Y1 )
           => ( '#sk2' @ Y0 @ ( '#sk3' @ Y0 ) @ ( '#sk3' @ Y1 ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl12,plain,
    ! [X2: a] :
      ( !!
      @ ^ [Y0: a] :
          ( ( '#sk1' @ X2 @ Y0 )
         => ( '#sk2' @ X2 @ ( '#sk3' @ X2 ) @ ( '#sk3' @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl15,plain,
    ! [X2: a,X4: a] :
      ( ( '#sk1' @ X2 @ X4 )
     => ( '#sk2' @ X2 @ ( '#sk3' @ X2 ) @ ( '#sk3' @ X4 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl20,plain,
    ! [X2: a,X4: a] :
      ( ~ ( '#sk1' @ X2 @ X4 )
      | ( '#sk2' @ X2 @ ( '#sk3' @ X2 ) @ ( '#sk3' @ X4 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl78,plain,
    ! [X0: a] :
      ( ( '#sk2' @ '#sk6' @ ( '#sk3' @ '#sk5' ) @ ( '#sk3' @ X0 ) )
      | ~ ( '#sk1' @ '#sk5' @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl63,zip_derived_cl20]) ).

thf(zip_derived_cl6,plain,
    ( !!
    @ ^ [Y0: a] :
        ( ( '#sk1' @ Y0 @ Y0 )
       => ( '#sk2' @ Y0 @ ( '#sk3' @ Y0 ) @ ( '#sk4' @ Y0 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl8,plain,
    ! [X2: a] :
      ( ( '#sk1' @ X2 @ X2 )
     => ( '#sk2' @ X2 @ ( '#sk3' @ X2 ) @ ( '#sk4' @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl11,plain,
    ! [X2: a] :
      ( ~ ( '#sk1' @ X2 @ X2 )
      | ( '#sk2' @ X2 @ ( '#sk3' @ X2 ) @ ( '#sk4' @ X2 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl36,plain,
    ! [X2: a,X4: a] :
      ( ( !!
        @ ^ [Y0: b] :
            ( !!
            @ ^ [Y1: b] :
                ( !!
                @ ^ [Y2: b] :
                    ( ( ( '#sk2' @ X2 @ Y1 @ Y2 )
                      & ( '#sk2' @ X2 @ Y0 @ Y1 ) )
                   => ( '#sk2' @ X2 @ Y0 @ Y2 ) ) ) ) )
      | ~ ( '#sk1' @ X2 @ X4 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl31]) ).

thf(zip_derived_cl40,plain,
    ! [X2: a,X4: a,X6: b] :
      ( ( !!
        @ ^ [Y0: b] :
            ( !!
            @ ^ [Y1: b] :
                ( ( ( '#sk2' @ X2 @ Y0 @ Y1 )
                  & ( '#sk2' @ X2 @ X6 @ Y0 ) )
               => ( '#sk2' @ X2 @ X6 @ Y1 ) ) ) )
      | ~ ( '#sk1' @ X2 @ X4 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl36]) ).

thf(zip_derived_cl42,plain,
    ! [X2: a,X4: a,X6: b,X8: b] :
      ( ( !!
        @ ^ [Y0: b] :
            ( ( ( '#sk2' @ X2 @ X8 @ Y0 )
              & ( '#sk2' @ X2 @ X6 @ X8 ) )
           => ( '#sk2' @ X2 @ X6 @ Y0 ) ) )
      | ~ ( '#sk1' @ X2 @ X4 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl40]) ).

thf(zip_derived_cl44,plain,
    ! [X2: a,X4: a,X6: b,X8: b,X10: b] :
      ( ( ( ( '#sk2' @ X2 @ X8 @ X10 )
          & ( '#sk2' @ X2 @ X6 @ X8 ) )
       => ( '#sk2' @ X2 @ X6 @ X10 ) )
      | ~ ( '#sk1' @ X2 @ X4 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl42]) ).

thf(zip_derived_cl46,plain,
    ! [X2: a,X4: a,X6: b,X8: b,X10: b] :
      ( ~ ( ( '#sk2' @ X2 @ X8 @ X10 )
          & ( '#sk2' @ X2 @ X6 @ X8 ) )
      | ( '#sk2' @ X2 @ X6 @ X10 )
      | ~ ( '#sk1' @ X2 @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl44]) ).

thf(zip_derived_cl47,plain,
    ! [X2: a,X4: a,X6: b,X8: b,X10: b] :
      ( ~ ( '#sk2' @ X2 @ X8 @ X10 )
      | ~ ( '#sk2' @ X2 @ X6 @ X8 )
      | ~ ( '#sk1' @ X2 @ X4 )
      | ( '#sk2' @ X2 @ X6 @ X10 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl46]) ).

thf(zip_derived_cl126,plain,
    ! [X0: a,X1: b,X2: a] :
      ( ~ ( '#sk1' @ X0 @ X0 )
      | ( '#sk2' @ X0 @ X1 @ ( '#sk4' @ X0 ) )
      | ~ ( '#sk1' @ X0 @ X2 )
      | ~ ( '#sk2' @ X0 @ X1 @ ( '#sk3' @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl47]) ).

thf(zip_derived_cl493,plain,
    ! [X0: a,X1: b] :
      ( ~ ( '#sk1' @ X0 @ X0 )
      | ( '#sk2' @ X0 @ X1 @ ( '#sk4' @ X0 ) )
      | ~ ( '#sk2' @ X0 @ X1 @ ( '#sk3' @ X0 ) ) ),
    inference(condensation,[status(thm)],[zip_derived_cl126]) ).

thf(zip_derived_cl495,plain,
    ( ~ ( '#sk1' @ '#sk5' @ '#sk6' )
    | ( '#sk2' @ '#sk6' @ ( '#sk3' @ '#sk5' ) @ ( '#sk4' @ '#sk6' ) )
    | ~ ( '#sk1' @ '#sk6' @ '#sk6' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl78,zip_derived_cl493]) ).

thf(zip_derived_cl32_002,plain,
    '#sk1' @ '#sk5' @ '#sk6',
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl28]) ).

thf(zip_derived_cl48_003,plain,
    '#sk1' @ '#sk6' @ '#sk5',
    inference('sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl29]) ).

thf(zip_derived_cl32_004,plain,
    '#sk1' @ '#sk5' @ '#sk6',
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl28]) ).

thf(zip_derived_cl17,plain,
    ( !!
    @ ^ [Y0: a] :
        ( !!
        @ ^ [Y1: a] :
            ( !!
            @ ^ [Y2: a] :
                ( ( ( '#sk1' @ Y1 @ Y2 )
                  & ( '#sk1' @ Y0 @ Y1 ) )
               => ( '#sk1' @ Y0 @ Y2 ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl22,plain,
    ! [X2: a] :
      ( !!
      @ ^ [Y0: a] :
          ( !!
          @ ^ [Y1: a] :
              ( ( ( '#sk1' @ Y0 @ Y1 )
                & ( '#sk1' @ X2 @ Y0 ) )
             => ( '#sk1' @ X2 @ Y1 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl26,plain,
    ! [X2: a,X4: a] :
      ( !!
      @ ^ [Y0: a] :
          ( ( ( '#sk1' @ X4 @ Y0 )
            & ( '#sk1' @ X2 @ X4 ) )
         => ( '#sk1' @ X2 @ Y0 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl22]) ).

thf(zip_derived_cl30,plain,
    ! [X2: a,X4: a,X6: a] :
      ( ( ( '#sk1' @ X4 @ X6 )
        & ( '#sk1' @ X2 @ X4 ) )
     => ( '#sk1' @ X2 @ X6 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl26]) ).

thf(zip_derived_cl34,plain,
    ! [X2: a,X4: a,X6: a] :
      ( ~ ( ( '#sk1' @ X4 @ X6 )
          & ( '#sk1' @ X2 @ X4 ) )
      | ( '#sk1' @ X2 @ X6 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl30]) ).

thf(zip_derived_cl38,plain,
    ! [X2: a,X4: a,X6: a] :
      ( ~ ( '#sk1' @ X4 @ X6 )
      | ~ ( '#sk1' @ X2 @ X4 )
      | ( '#sk1' @ X2 @ X6 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl34]) ).

thf(zip_derived_cl65,plain,
    ! [X0: a] :
      ( ( '#sk1' @ X0 @ '#sk6' )
      | ~ ( '#sk1' @ X0 @ '#sk5' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl32,zip_derived_cl38]) ).

thf(zip_derived_cl150,plain,
    '#sk1' @ '#sk6' @ '#sk6',
    inference('sup-',[status(thm)],[zip_derived_cl48,zip_derived_cl65]) ).

thf(zip_derived_cl513,plain,
    '#sk2' @ '#sk6' @ ( '#sk3' @ '#sk5' ) @ ( '#sk4' @ '#sk6' ),
    inference(demod,[status(thm)],[zip_derived_cl495,zip_derived_cl32,zip_derived_cl150]) ).

thf(zip_derived_cl540,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl76,zip_derived_cl513]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SEV034^5 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.fcUxbapHG5 true
% 0.13/0.35  % Computer : n009.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu Aug 24 02:24:36 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.36  % Running in HO mode
% 0.40/0.67  % Total configuration time : 828
% 0.40/0.67  % Estimated wc time : 1656
% 0.40/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.54/0.70  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.54/0.70  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.54/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.54/0.75  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.54/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.54/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.54/0.76  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.54/0.76  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.57/0.86  % Solved by lams/35_full_unif4.sh.
% 0.57/0.86  % done 222 iterations in 0.117s
% 0.57/0.86  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.86  % SZS output start Refutation
% See solution above
% 0.57/0.86  
% 0.57/0.86  
% 0.57/0.86  % Terminating...
% 0.59/0.96  % Runner terminated.
% 0.59/0.97  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------