TSTP Solution File: LCL866^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL866^1 : TPTP v8.1.2. Bugfixed v5.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ZK7uEWZFKq true

% Computer : n024.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 09:02:27 EDT 2023

% Result   : Theorem 1.41s 0.98s
% Output   : Refutation 1.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   27
% Syntax   : Number of formulae    :   99 (  21 unt;  14 typ;   0 def)
%            Number of atoms       :  543 (  11 equ;   0 cnn)
%            Maximal formula atoms :   26 (   6 avg)
%            Number of connectives : 1442 (  78   ~;  73   |; 114   &; 865   @)
%                                         (   5 <=>; 107  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   37 (  37   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   18 (  14 usr;  13 con; 0-2 aty)
%                                         ( 200  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  287 ( 209   ^;  78   !;   0   ?; 287   :)

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

thf(meuclidean_type,type,
    meuclidean: ( $i > $i > $o ) > $o ).

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

thf('#sk11_type',type,
    '#sk11': $i ).

thf('#sk4_type',type,
    '#sk4': $i ).

thf('#sk8_type',type,
    '#sk8': $i ).

thf('#form3_type',type,
    '#form3': $o ).

thf('#sk7_type',type,
    '#sk7': $i ).

thf(mtransitive_type,type,
    mtransitive: ( $i > $i > $o ) > $o ).

thf('#form9_type',type,
    '#form9': $o ).

thf(msymmetric_type,type,
    msymmetric: ( $i > $i > $o ) > $o ).

thf('#sk5_type',type,
    '#sk5': $i ).

thf('#sk10_type',type,
    '#sk10': $i ).

thf('#sk6_type',type,
    '#sk6': $i ).

thf(meuclidean,axiom,
    ( meuclidean
    = ( ^ [R: $i > $i > $o] :
        ! [S: $i,T: $i,U: $i] :
          ( ( ( R @ S @ T )
            & ( R @ S @ U ) )
         => ( R @ T @ U ) ) ) ) ).

thf('0',plain,
    ( meuclidean
    = ( ^ [R: $i > $i > $o] :
        ! [S: $i,T: $i,U: $i] :
          ( ( ( R @ S @ T )
            & ( R @ S @ U ) )
         => ( R @ T @ U ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[meuclidean]) ).

thf('1',plain,
    ( meuclidean
    = ( ^ [V_1: $i > $i > $o] :
        ! [X4: $i,X6: $i,X8: $i] :
          ( ( ( V_1 @ X4 @ X6 )
            & ( V_1 @ X4 @ X8 ) )
         => ( V_1 @ X6 @ X8 ) ) ) ),
    define([status(thm)]) ).

thf(mtransitive,axiom,
    ( mtransitive
    = ( ^ [R: $i > $i > $o] :
        ! [S: $i,T: $i,U: $i] :
          ( ( ( R @ S @ T )
            & ( R @ T @ U ) )
         => ( R @ S @ U ) ) ) ) ).

thf('2',plain,
    ( mtransitive
    = ( ^ [R: $i > $i > $o] :
        ! [S: $i,T: $i,U: $i] :
          ( ( ( R @ S @ T )
            & ( R @ T @ U ) )
         => ( R @ S @ U ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mtransitive]) ).

thf('3',plain,
    ( mtransitive
    = ( ^ [V_1: $i > $i > $o] :
        ! [X4: $i,X6: $i,X8: $i] :
          ( ( ( V_1 @ X4 @ X6 )
            & ( V_1 @ X6 @ X8 ) )
         => ( V_1 @ X4 @ X8 ) ) ) ),
    define([status(thm)]) ).

thf(msymmetric,axiom,
    ( msymmetric
    = ( ^ [R: $i > $i > $o] :
        ! [S: $i,T: $i] :
          ( ( R @ S @ T )
         => ( R @ T @ S ) ) ) ) ).

thf('4',plain,
    ( msymmetric
    = ( ^ [R: $i > $i > $o] :
        ! [S: $i,T: $i] :
          ( ( R @ S @ T )
         => ( R @ T @ S ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[msymmetric]) ).

thf('5',plain,
    ( msymmetric
    = ( ^ [V_1: $i > $i > $o] :
        ! [X4: $i,X6: $i] :
          ( ( V_1 @ X4 @ X6 )
         => ( V_1 @ X6 @ X4 ) ) ) ),
    define([status(thm)]) ).

thf(conj,conjecture,
    ! [R: $i > $i > $o] :
      ( ( ( msymmetric @ R )
        & ( meuclidean @ R ) )
    <=> ( ( mtransitive @ R )
        & ( msymmetric @ R )
        & ( meuclidean @ R ) ) ) ).

thf(zf_stmt_0,conjecture,
    ! [X4: $i > $i > $o] :
      ( ( ! [X10: $i,X12: $i,X14: $i] :
            ( ( ( X4 @ X10 @ X14 )
              & ( X4 @ X10 @ X12 ) )
           => ( X4 @ X12 @ X14 ) )
        & ! [X6: $i,X8: $i] :
            ( ( X4 @ X6 @ X8 )
           => ( X4 @ X8 @ X6 ) ) )
    <=> ( ! [X26: $i,X28: $i,X30: $i] :
            ( ( ( X4 @ X26 @ X30 )
              & ( X4 @ X26 @ X28 ) )
           => ( X4 @ X28 @ X30 ) )
        & ! [X22: $i,X24: $i] :
            ( ( X4 @ X22 @ X24 )
           => ( X4 @ X24 @ X22 ) )
        & ! [X16: $i,X18: $i,X20: $i] :
            ( ( ( X4 @ X18 @ X20 )
              & ( X4 @ X16 @ X18 ) )
           => ( X4 @ X16 @ X20 ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ! [X4: $i > $i > $o] :
        ( ( ! [X10: $i,X12: $i,X14: $i] :
              ( ( ( X4 @ X10 @ X14 )
                & ( X4 @ X10 @ X12 ) )
             => ( X4 @ X12 @ X14 ) )
          & ! [X6: $i,X8: $i] :
              ( ( X4 @ X6 @ X8 )
             => ( X4 @ X8 @ X6 ) ) )
      <=> ( ! [X26: $i,X28: $i,X30: $i] :
              ( ( ( X4 @ X26 @ X30 )
                & ( X4 @ X26 @ X28 ) )
             => ( X4 @ X28 @ X30 ) )
          & ! [X22: $i,X24: $i] :
              ( ( X4 @ X22 @ X24 )
             => ( X4 @ X24 @ X22 ) )
          & ! [X16: $i,X18: $i,X20: $i] :
              ( ( ( X4 @ X18 @ X20 )
                & ( X4 @ X16 @ X18 ) )
             => ( X4 @ X16 @ X20 ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ~ ( !!
      @ ^ [Y0: $i > $i > $o] :
          ( ( ( !!
              @ ^ [Y1: $i] :
                  ( !!
                  @ ^ [Y2: $i] :
                      ( !!
                      @ ^ [Y3: $i] :
                          ( ( ( Y0 @ Y1 @ Y3 )
                            & ( Y0 @ Y1 @ Y2 ) )
                         => ( Y0 @ Y2 @ Y3 ) ) ) ) )
            & ( !!
              @ ^ [Y1: $i] :
                  ( !!
                  @ ^ [Y2: $i] :
                      ( ( Y0 @ Y1 @ Y2 )
                     => ( Y0 @ Y2 @ Y1 ) ) ) ) )
        <=> ( ( !!
              @ ^ [Y1: $i] :
                  ( !!
                  @ ^ [Y2: $i] :
                      ( !!
                      @ ^ [Y3: $i] :
                          ( ( ( Y0 @ Y1 @ Y3 )
                            & ( Y0 @ Y1 @ Y2 ) )
                         => ( Y0 @ Y2 @ Y3 ) ) ) ) )
            & ( !!
              @ ^ [Y1: $i] :
                  ( !!
                  @ ^ [Y2: $i] :
                      ( ( Y0 @ Y1 @ Y2 )
                     => ( Y0 @ Y2 @ Y1 ) ) ) )
            & ( !!
              @ ^ [Y1: $i] :
                  ( !!
                  @ ^ [Y2: $i] :
                      ( !!
                      @ ^ [Y3: $i] :
                          ( ( ( Y0 @ Y2 @ Y3 )
                            & ( Y0 @ Y1 @ Y2 ) )
                         => ( Y0 @ Y1 @ Y3 ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

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

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

thf(zip_derived_cl4,plain,
    ( ~ ( ( !!
          @ ^ [Y0: $i] :
              ( !!
              @ ^ [Y1: $i] :
                  ( !!
                  @ ^ [Y2: $i] :
                      ( ( ( '#sk1' @ Y0 @ Y2 )
                        & ( '#sk1' @ Y0 @ Y1 ) )
                     => ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
        & ( !!
          @ ^ [Y0: $i] :
              ( !!
              @ ^ [Y1: $i] :
                  ( ( '#sk1' @ Y0 @ Y1 )
                 => ( '#sk1' @ Y1 @ Y0 ) ) ) ) )
    | ~ ( ( !!
          @ ^ [Y0: $i] :
              ( !!
              @ ^ [Y1: $i] :
                  ( !!
                  @ ^ [Y2: $i] :
                      ( ( ( '#sk1' @ Y0 @ Y2 )
                        & ( '#sk1' @ Y0 @ Y1 ) )
                     => ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
        & ( !!
          @ ^ [Y0: $i] :
              ( !!
              @ ^ [Y1: $i] :
                  ( ( '#sk1' @ Y0 @ Y1 )
                 => ( '#sk1' @ Y1 @ Y0 ) ) ) )
        & ( !!
          @ ^ [Y0: $i] :
              ( !!
              @ ^ [Y1: $i] :
                  ( !!
                  @ ^ [Y2: $i] :
                      ( ( ( '#sk1' @ Y1 @ Y2 )
                        & ( '#sk1' @ Y0 @ Y1 ) )
                     => ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ) ),
    inference(eq_elim,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl27,plain,
    ( ~ ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( !!
                @ ^ [Y2: $i] :
                    ( ( ( '#sk1' @ Y0 @ Y2 )
                      & ( '#sk1' @ Y0 @ Y1 ) )
                   => ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
    | ~ ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( '#sk1' @ Y0 @ Y1 )
               => ( '#sk1' @ Y1 @ Y0 ) ) ) )
    | ~ ( ( !!
          @ ^ [Y0: $i] :
              ( !!
              @ ^ [Y1: $i] :
                  ( !!
                  @ ^ [Y2: $i] :
                      ( ( ( '#sk1' @ Y0 @ Y2 )
                        & ( '#sk1' @ Y0 @ Y1 ) )
                     => ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
        & ( !!
          @ ^ [Y0: $i] :
              ( !!
              @ ^ [Y1: $i] :
                  ( ( '#sk1' @ Y0 @ Y1 )
                 => ( '#sk1' @ Y1 @ Y0 ) ) ) )
        & ( !!
          @ ^ [Y0: $i] :
              ( !!
              @ ^ [Y1: $i] :
                  ( !!
                  @ ^ [Y2: $i] :
                      ( ( ( '#sk1' @ Y1 @ Y2 )
                        & ( '#sk1' @ Y0 @ Y1 ) )
                     => ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl28,plain,
    ( ~ ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( !!
                @ ^ [Y2: $i] :
                    ( ( ( '#sk1' @ Y0 @ Y2 )
                      & ( '#sk1' @ Y0 @ Y1 ) )
                   => ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
    | ~ ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( '#sk1' @ Y0 @ Y1 )
               => ( '#sk1' @ Y1 @ Y0 ) ) ) )
    | ~ ( $true
        & $true
        & ( !!
          @ ^ [Y0: $i] :
              ( !!
              @ ^ [Y1: $i] :
                  ( !!
                  @ ^ [Y2: $i] :
                      ( ( ( '#sk1' @ Y1 @ Y2 )
                        & ( '#sk1' @ Y0 @ Y1 ) )
                     => ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl27]) ).

thf(zip_derived_cl29,plain,
    ( ~ ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( !!
                @ ^ [Y2: $i] :
                    ( ( ( '#sk1' @ Y0 @ Y2 )
                      & ( '#sk1' @ Y0 @ Y1 ) )
                   => ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
    | ~ ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( '#sk1' @ Y0 @ Y1 )
               => ( '#sk1' @ Y1 @ Y0 ) ) ) )
    | ~ ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( !!
                @ ^ [Y2: $i] :
                    ( ( ( '#sk1' @ Y1 @ Y2 )
                      & ( '#sk1' @ Y0 @ Y1 ) )
                   => ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl28]) ).

thf(zip_derived_cl30,plain,
    ( ~ ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( ( '#sk1' @ '#sk2' @ Y1 )
                  & ( '#sk1' @ '#sk2' @ Y0 ) )
               => ( '#sk1' @ Y0 @ Y1 ) ) ) )
    | ~ ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( !!
                @ ^ [Y2: $i] :
                    ( ( ( '#sk1' @ Y1 @ Y2 )
                      & ( '#sk1' @ Y0 @ Y1 ) )
                   => ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
    | ~ ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( '#sk1' @ Y0 @ Y1 )
               => ( '#sk1' @ Y1 @ Y0 ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl29]) ).

thf(zip_derived_cl30_001,plain,
    ( ~ ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( ( '#sk1' @ '#sk2' @ Y1 )
                  & ( '#sk1' @ '#sk2' @ Y0 ) )
               => ( '#sk1' @ Y0 @ Y1 ) ) ) )
    | ~ ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( !!
                @ ^ [Y2: $i] :
                    ( ( ( '#sk1' @ Y1 @ Y2 )
                      & ( '#sk1' @ Y0 @ Y1 ) )
                   => ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
    | ~ ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( '#sk1' @ Y0 @ Y1 )
               => ( '#sk1' @ Y1 @ Y0 ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl29]) ).

thf(zip_derived_cl31,plain,
    ( '#form3'
    | ~ ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( '#sk1' @ Y0 @ Y1 )
               => ( '#sk1' @ Y1 @ Y0 ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl33,plain,
    ( ~ '#form3'
    | ~ ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( !!
                @ ^ [Y2: $i] :
                    ( ( ( '#sk1' @ Y1 @ Y2 )
                      & ( '#sk1' @ Y0 @ Y1 ) )
                   => ( '#sk1' @ Y0 @ Y2 ) ) ) ) )
    | ~ ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( ( '#sk1' @ '#sk2' @ Y1 )
                  & ( '#sk1' @ '#sk2' @ Y0 ) )
               => ( '#sk1' @ Y0 @ Y1 ) ) ) ) ),
    inference(renaming,[status(thm)],[zip_derived_cl30,zip_derived_cl31]) ).

thf(zip_derived_cl34,plain,
    ( ~ ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( ( '#sk1' @ Y0 @ Y1 )
                  & ( '#sk1' @ '#sk5' @ Y0 ) )
               => ( '#sk1' @ '#sk5' @ Y1 ) ) ) )
    | ~ ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( ( '#sk1' @ '#sk2' @ Y1 )
                  & ( '#sk1' @ '#sk2' @ Y0 ) )
               => ( '#sk1' @ Y0 @ Y1 ) ) ) )
    | ~ '#form3' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl33]) ).

thf(zip_derived_cl36,plain,
    ( ~ ( !!
        @ ^ [Y0: $i] :
            ( ( ( '#sk1' @ '#sk7' @ Y0 )
              & ( '#sk1' @ '#sk5' @ '#sk7' ) )
           => ( '#sk1' @ '#sk5' @ Y0 ) ) )
    | ~ '#form3'
    | ~ ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( ( '#sk1' @ '#sk2' @ Y1 )
                  & ( '#sk1' @ '#sk2' @ Y0 ) )
               => ( '#sk1' @ Y0 @ Y1 ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl34]) ).

thf(zip_derived_cl39,plain,
    ( ~ ( ( ( '#sk1' @ '#sk7' @ '#sk8' )
          & ( '#sk1' @ '#sk5' @ '#sk7' ) )
       => ( '#sk1' @ '#sk5' @ '#sk8' ) )
    | ~ ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( ( '#sk1' @ '#sk2' @ Y1 )
                  & ( '#sk1' @ '#sk2' @ Y0 ) )
               => ( '#sk1' @ Y0 @ Y1 ) ) ) )
    | ~ '#form3' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl36]) ).

thf(zip_derived_cl41,plain,
    ( ~ ( '#sk1' @ '#sk5' @ '#sk8' )
    | ~ '#form3'
    | ~ ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( ( '#sk1' @ '#sk2' @ Y1 )
                  & ( '#sk1' @ '#sk2' @ Y0 ) )
               => ( '#sk1' @ Y0 @ Y1 ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl39]) ).

thf(zip_derived_cl40,plain,
    ( ( ( '#sk1' @ '#sk7' @ '#sk8' )
      & ( '#sk1' @ '#sk5' @ '#sk7' ) )
    | ~ '#form3'
    | ~ ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( ( '#sk1' @ '#sk2' @ Y1 )
                  & ( '#sk1' @ '#sk2' @ Y0 ) )
               => ( '#sk1' @ Y0 @ Y1 ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl39]) ).

thf(zip_derived_cl42,plain,
    ( '#form9'
    | ~ ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( ( '#sk1' @ '#sk2' @ Y1 )
                  & ( '#sk1' @ '#sk2' @ Y0 ) )
               => ( '#sk1' @ Y0 @ Y1 ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl45,plain,
    ( ~ '#form9'
    | ~ '#form3'
    | ~ ( '#sk1' @ '#sk5' @ '#sk8' ) ),
    inference(renaming,[status(thm)],[zip_derived_cl41,zip_derived_cl42]) ).

thf(zip_derived_cl31_002,plain,
    ( '#form3'
    | ~ ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( '#sk1' @ Y0 @ Y1 )
               => ( '#sk1' @ Y1 @ Y0 ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl32,plain,
    ( ~ ( !!
        @ ^ [Y0: $i] :
            ( ( '#sk1' @ '#sk4' @ Y0 )
           => ( '#sk1' @ Y0 @ '#sk4' ) ) )
    | '#form3' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl31]) ).

thf(zip_derived_cl35,plain,
    ( ~ ( ( '#sk1' @ '#sk4' @ '#sk6' )
       => ( '#sk1' @ '#sk6' @ '#sk4' ) )
    | '#form3' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl32]) ).

thf(zip_derived_cl37,plain,
    ( ( '#sk1' @ '#sk4' @ '#sk6' )
    | '#form3' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl35]) ).

thf(zip_derived_cl2_003,plain,
    ( ( ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( !!
                @ ^ [Y2: $i] :
                    ( ( ( '#sk1' @ Y0 @ Y2 )
                      & ( '#sk1' @ Y0 @ Y1 ) )
                   => ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
      & ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( '#sk1' @ Y0 @ Y1 )
               => ( '#sk1' @ Y1 @ Y0 ) ) ) ) )
   != ( ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( !!
                @ ^ [Y2: $i] :
                    ( ( ( '#sk1' @ Y0 @ Y2 )
                      & ( '#sk1' @ Y0 @ Y1 ) )
                   => ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
      & ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( '#sk1' @ Y0 @ Y1 )
               => ( '#sk1' @ Y1 @ Y0 ) ) ) )
      & ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( !!
                @ ^ [Y2: $i] :
                    ( ( ( '#sk1' @ Y1 @ Y2 )
                      & ( '#sk1' @ Y0 @ Y1 ) )
                   => ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl3,plain,
    ( ( ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( !!
                @ ^ [Y2: $i] :
                    ( ( ( '#sk1' @ Y0 @ Y2 )
                      & ( '#sk1' @ Y0 @ Y1 ) )
                   => ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
      & ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( '#sk1' @ Y0 @ Y1 )
               => ( '#sk1' @ Y1 @ Y0 ) ) ) ) )
    | ( ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( !!
                @ ^ [Y2: $i] :
                    ( ( ( '#sk1' @ Y0 @ Y2 )
                      & ( '#sk1' @ Y0 @ Y1 ) )
                   => ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
      & ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( '#sk1' @ Y0 @ Y1 )
               => ( '#sk1' @ Y1 @ Y0 ) ) ) )
      & ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( !!
                @ ^ [Y2: $i] :
                    ( ( ( '#sk1' @ Y1 @ Y2 )
                      & ( '#sk1' @ Y0 @ Y1 ) )
                   => ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ) ),
    inference(eq_elim,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl6,plain,
    ( ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( '#sk1' @ Y0 @ Y1 )
             => ( '#sk1' @ Y1 @ Y0 ) ) ) )
    | ( ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( !!
                @ ^ [Y2: $i] :
                    ( ( ( '#sk1' @ Y0 @ Y2 )
                      & ( '#sk1' @ Y0 @ Y1 ) )
                   => ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
      & ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( '#sk1' @ Y0 @ Y1 )
               => ( '#sk1' @ Y1 @ Y0 ) ) ) )
      & ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( !!
                @ ^ [Y2: $i] :
                    ( ( ( '#sk1' @ Y1 @ Y2 )
                      & ( '#sk1' @ Y0 @ Y1 ) )
                   => ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl10,plain,
    ( ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( '#sk1' @ Y0 @ Y1 )
             => ( '#sk1' @ Y1 @ Y0 ) ) ) )
    | ( ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( !!
                @ ^ [Y2: $i] :
                    ( ( ( '#sk1' @ Y0 @ Y2 )
                      & ( '#sk1' @ Y0 @ Y1 ) )
                   => ( '#sk1' @ Y1 @ Y2 ) ) ) ) )
      & $false
      & ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( !!
                @ ^ [Y2: $i] :
                    ( ( ( '#sk1' @ Y1 @ Y2 )
                      & ( '#sk1' @ Y0 @ Y1 ) )
                   => ( '#sk1' @ Y0 @ Y2 ) ) ) ) ) ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl11,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( ( '#sk1' @ Y0 @ Y1 )
           => ( '#sk1' @ Y1 @ Y0 ) ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl12,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( '#sk1' @ X2 @ Y0 )
         => ( '#sk1' @ Y0 @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl14,plain,
    ! [X2: $i,X4: $i] :
      ( ( '#sk1' @ X2 @ X4 )
     => ( '#sk1' @ X4 @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl16,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( '#sk1' @ X2 @ X4 )
      | ( '#sk1' @ X4 @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl55,plain,
    ( '#form3'
    | ( '#sk1' @ '#sk6' @ '#sk4' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl37,zip_derived_cl16]) ).

thf(zip_derived_cl38,plain,
    ( ~ ( '#sk1' @ '#sk6' @ '#sk4' )
    | '#form3' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl35]) ).

thf(zip_derived_cl93,plain,
    '#form3',
    inference(clc,[status(thm)],[zip_derived_cl55,zip_derived_cl38]) ).

thf(zip_derived_cl94,plain,
    ( ~ '#form9'
    | ~ ( '#sk1' @ '#sk5' @ '#sk8' ) ),
    inference(demod,[status(thm)],[zip_derived_cl45,zip_derived_cl93]) ).

thf(zip_derived_cl42_004,plain,
    ( '#form9'
    | ~ ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( ( '#sk1' @ '#sk2' @ Y1 )
                  & ( '#sk1' @ '#sk2' @ Y0 ) )
               => ( '#sk1' @ Y0 @ Y1 ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl43,plain,
    ( ~ ( !!
        @ ^ [Y0: $i] :
            ( ( ( '#sk1' @ '#sk2' @ Y0 )
              & ( '#sk1' @ '#sk2' @ '#sk10' ) )
           => ( '#sk1' @ '#sk10' @ Y0 ) ) )
    | '#form9' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl42]) ).

thf(zip_derived_cl48,plain,
    ( ~ ( ( ( '#sk1' @ '#sk2' @ '#sk11' )
          & ( '#sk1' @ '#sk2' @ '#sk10' ) )
       => ( '#sk1' @ '#sk10' @ '#sk11' ) )
    | '#form9' ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl43]) ).

thf(zip_derived_cl49,plain,
    ( ( ( '#sk1' @ '#sk2' @ '#sk11' )
      & ( '#sk1' @ '#sk2' @ '#sk10' ) )
    | '#form9' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl48]) ).

thf(zip_derived_cl52,plain,
    ( ( '#sk1' @ '#sk2' @ '#sk10' )
    | '#form9' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl49]) ).

thf(zip_derived_cl51,plain,
    ( ( '#sk1' @ '#sk2' @ '#sk11' )
    | '#form9' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl49]) ).

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

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

thf(zip_derived_cl8,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( !!
            @ ^ [Y2: $i] :
                ( ( ( '#sk1' @ Y0 @ Y2 )
                  & ( '#sk1' @ Y0 @ Y1 ) )
               => ( '#sk1' @ Y1 @ Y2 ) ) ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl9,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( ( '#sk1' @ X2 @ Y1 )
                & ( '#sk1' @ X2 @ Y0 ) )
             => ( '#sk1' @ Y0 @ Y1 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl13,plain,
    ! [X2: $i,X4: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( ( '#sk1' @ X2 @ Y0 )
            & ( '#sk1' @ X2 @ X4 ) )
         => ( '#sk1' @ X4 @ Y0 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl15,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ( ( '#sk1' @ X2 @ X6 )
        & ( '#sk1' @ X2 @ X4 ) )
     => ( '#sk1' @ X4 @ X6 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl17,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( ( '#sk1' @ X2 @ X6 )
          & ( '#sk1' @ X2 @ X4 ) )
      | ( '#sk1' @ X4 @ X6 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl18,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( '#sk1' @ X2 @ X6 )
      | ~ ( '#sk1' @ X2 @ X4 )
      | ( '#sk1' @ X4 @ X6 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl76,plain,
    ! [X0: $i] :
      ( '#form9'
      | ( '#sk1' @ X0 @ '#sk11' )
      | ~ ( '#sk1' @ '#sk2' @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl18]) ).

thf(zip_derived_cl118,plain,
    ( '#form9'
    | ( '#sk1' @ '#sk10' @ '#sk11' )
    | '#form9' ),
    inference('sup-',[status(thm)],[zip_derived_cl52,zip_derived_cl76]) ).

thf(zip_derived_cl122,plain,
    ( ( '#sk1' @ '#sk10' @ '#sk11' )
    | '#form9' ),
    inference(simplify,[status(thm)],[zip_derived_cl118]) ).

thf(zip_derived_cl50,plain,
    ( ~ ( '#sk1' @ '#sk10' @ '#sk11' )
    | '#form9' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl48]) ).

thf(zip_derived_cl239,plain,
    '#form9',
    inference(clc,[status(thm)],[zip_derived_cl122,zip_derived_cl50]) ).

thf(zip_derived_cl240,plain,
    ~ ( '#sk1' @ '#sk5' @ '#sk8' ),
    inference(demod,[status(thm)],[zip_derived_cl94,zip_derived_cl239]) ).

thf(zip_derived_cl40_005,plain,
    ( ( ( '#sk1' @ '#sk7' @ '#sk8' )
      & ( '#sk1' @ '#sk5' @ '#sk7' ) )
    | ~ '#form3'
    | ~ ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( ( '#sk1' @ '#sk2' @ Y1 )
                  & ( '#sk1' @ '#sk2' @ Y0 ) )
               => ( '#sk1' @ Y0 @ Y1 ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl39]) ).

thf(zip_derived_cl42_006,plain,
    ( '#form9'
    | ~ ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( ( '#sk1' @ '#sk2' @ Y1 )
                  & ( '#sk1' @ '#sk2' @ Y0 ) )
               => ( '#sk1' @ Y0 @ Y1 ) ) ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl44,plain,
    ( ~ '#form9'
    | ~ '#form3'
    | ( ( '#sk1' @ '#sk7' @ '#sk8' )
      & ( '#sk1' @ '#sk5' @ '#sk7' ) ) ),
    inference(renaming,[status(thm)],[zip_derived_cl40,zip_derived_cl42]) ).

thf(zip_derived_cl47,plain,
    ( ( '#sk1' @ '#sk5' @ '#sk7' )
    | ~ '#form3'
    | ~ '#form9' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl44]) ).

thf(zip_derived_cl93_007,plain,
    '#form3',
    inference(clc,[status(thm)],[zip_derived_cl55,zip_derived_cl38]) ).

thf(zip_derived_cl96,plain,
    ( ( '#sk1' @ '#sk5' @ '#sk7' )
    | ~ '#form9' ),
    inference(demod,[status(thm)],[zip_derived_cl47,zip_derived_cl93]) ).

thf(zip_derived_cl16_008,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( '#sk1' @ X2 @ X4 )
      | ( '#sk1' @ X4 @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl142,plain,
    ( ~ '#form9'
    | ( '#sk1' @ '#sk7' @ '#sk5' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl96,zip_derived_cl16]) ).

thf(zip_derived_cl239_009,plain,
    '#form9',
    inference(clc,[status(thm)],[zip_derived_cl122,zip_derived_cl50]) ).

thf(zip_derived_cl248,plain,
    '#sk1' @ '#sk7' @ '#sk5',
    inference(demod,[status(thm)],[zip_derived_cl142,zip_derived_cl239]) ).

thf(zip_derived_cl46,plain,
    ( ( '#sk1' @ '#sk7' @ '#sk8' )
    | ~ '#form3'
    | ~ '#form9' ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl44]) ).

thf(zip_derived_cl93_010,plain,
    '#form3',
    inference(clc,[status(thm)],[zip_derived_cl55,zip_derived_cl38]) ).

thf(zip_derived_cl95,plain,
    ( ( '#sk1' @ '#sk7' @ '#sk8' )
    | ~ '#form9' ),
    inference(demod,[status(thm)],[zip_derived_cl46,zip_derived_cl93]) ).

thf(zip_derived_cl18_011,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( '#sk1' @ X2 @ X6 )
      | ~ ( '#sk1' @ X2 @ X4 )
      | ( '#sk1' @ X4 @ X6 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl135,plain,
    ! [X0: $i] :
      ( ~ '#form9'
      | ( '#sk1' @ X0 @ '#sk8' )
      | ~ ( '#sk1' @ '#sk7' @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl95,zip_derived_cl18]) ).

thf(zip_derived_cl239_012,plain,
    '#form9',
    inference(clc,[status(thm)],[zip_derived_cl122,zip_derived_cl50]) ).

thf(zip_derived_cl244,plain,
    ! [X0: $i] :
      ( ( '#sk1' @ X0 @ '#sk8' )
      | ~ ( '#sk1' @ '#sk7' @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl135,zip_derived_cl239]) ).

thf(zip_derived_cl296,plain,
    '#sk1' @ '#sk5' @ '#sk8',
    inference('sup-',[status(thm)],[zip_derived_cl248,zip_derived_cl244]) ).

thf(zip_derived_cl330,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl240,zip_derived_cl296]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : LCL866^1 : TPTP v8.1.2. Bugfixed v5.0.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.ZK7uEWZFKq true
% 0.13/0.35  % Computer : n024.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 : Fri Aug 25 06:21:24 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.21/0.36  % Running in HO mode
% 0.21/0.67  % Total configuration time : 828
% 0.21/0.67  % Estimated wc time : 1656
% 0.21/0.67  % Estimated cpu time (8 cpus) : 207.0
% 1.24/0.73  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 1.24/0.74  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.24/0.76  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 1.24/0.76  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 1.24/0.77  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 1.39/0.77  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.39/0.78  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.39/0.78  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.41/0.98  % Solved by lams/20_acsne_simpl.sh.
% 1.41/0.98  % done 144 iterations in 0.120s
% 1.41/0.98  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.41/0.98  % SZS output start Refutation
% See solution above
% 1.41/0.98  
% 1.41/0.98  
% 1.41/0.98  % Terminating...
% 1.68/1.07  % Runner terminated.
% 1.68/1.09  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------