TSTP Solution File: SEV058^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV058^5 : 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.GOz2jVefCS 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 19:59:27 EDT 2023

% Result   : Theorem 14.87s 2.53s
% Output   : Refutation 14.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   26
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   71 (  14 unt;   6 typ;   0 def)
%            Number of atoms       :  378 ( 121 equ;   0 cnn)
%            Maximal formula atoms :   12 (   5 avg)
%            Number of connectives :  427 (  56   ~;  46   |;  38   &; 172   @)
%                                         (   0 <=>;  44  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   95 (  95   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   6 usr;   4 con; 0-2 aty)
%                                         (  70  !!;   1  ??;   0 @@+;   0 @@-)
%            Number of variables   :   93 (  71   ^;  20   !;   2   ?;  93   :)

% Comments : 
%------------------------------------------------------------------------------
thf('#sk1763_type',type,
    '#sk1763': $i > $o ).

thf('#sk1760_type',type,
    '#sk1760': $i > $o ).

thf('#sk1761_type',type,
    '#sk1761': $i ).

thf('#sk1758_type',type,
    '#sk1758': $i > $o ).

thf('#sk1759_type',type,
    '#sk1759': $i > $o ).

thf('#sk1762_type',type,
    '#sk1762': $i > $o ).

thf(cTHM122_pme,conjecture,
    ? [R: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ! [Xu: $i > $o,Xv: $i > $o] :
          ( ( R @ Xu @ Xv )
         => ! [Xz: $i] :
              ( ( Xu @ Xz )
             => ( Xv @ Xz ) ) )
      & ! [Xx: $i > $o] : ( R @ Xx @ Xx )
      & ! [Xx: $i > $o,Xy: $i > $o,Xz: $i > $o] :
          ( ( ( R @ Xy @ Xz )
            & ( R @ Xx @ Xy ) )
         => ( R @ Xx @ Xz ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [R: ( $i > $o ) > ( $i > $o ) > $o] :
        ( ! [Xu: $i > $o,Xv: $i > $o] :
            ( ( R @ Xu @ Xv )
           => ! [Xz: $i] :
                ( ( Xu @ Xz )
               => ( Xv @ Xz ) ) )
        & ! [Xx: $i > $o] : ( R @ Xx @ Xx )
        & ! [Xx: $i > $o,Xy: $i > $o,Xz: $i > $o] :
            ( ( ( R @ Xy @ Xz )
              & ( R @ Xx @ Xy ) )
           => ( R @ Xx @ Xz ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM122_pme]) ).

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

thf(zip_derived_cl1,plain,
    ! [X2: ( $i > $o ) > ( $i > $o ) > $o] :
      ~ ( ( !!
          @ ^ [Y0: $i > $o] :
              ( !!
              @ ^ [Y1: $i > $o] :
                  ( ( X2 @ Y0 @ Y1 )
                 => ( !!
                    @ ^ [Y2: $i] :
                        ( ( Y0 @ Y2 )
                       => ( Y1 @ Y2 ) ) ) ) ) )
        & ( !!
          @ ^ [Y0: $i > $o] : ( X2 @ Y0 @ Y0 ) )
        & ( !!
          @ ^ [Y0: $i > $o] :
              ( !!
              @ ^ [Y1: $i > $o] :
                  ( !!
                  @ ^ [Y2: $i > $o] :
                      ( ( ( X2 @ Y1 @ Y2 )
                        & ( X2 @ Y0 @ Y1 ) )
                     => ( X2 @ Y0 @ Y2 ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl6,plain,
    ~ ( ( !!
        @ ^ [Y0: $i > $o] :
            ( !!
            @ ^ [Y1: $i > $o] :
                ( ( Y0 = Y1 )
               => ( !!
                  @ ^ [Y2: $i] :
                      ( ( Y0 @ Y2 )
                     => ( Y1 @ Y2 ) ) ) ) ) )
      & ( !!
        @ ^ [Y0: $i > $o] : ( Y0 = Y0 ) )
      & ( !!
        @ ^ [Y0: $i > $o] :
            ( !!
            @ ^ [Y1: $i > $o] :
                ( !!
                @ ^ [Y2: $i > $o] :
                    ( ( ( Y1 = Y2 )
                      & ( Y0 = Y1 ) )
                   => ( Y0 = Y2 ) ) ) ) ) ),
    inference('ho.refine.early.bird',[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl132,plain,
    ~ ( ( !!
        @ ^ [Y0: $i > $o] :
            ( !!
            @ ^ [Y1: $i > $o] :
                ( ( Y0 = Y1 )
               => ( !!
                  @ ^ [Y2: $i] :
                      ( ( Y0 @ Y2 )
                     => ( Y1 @ Y2 ) ) ) ) ) )
      & ( !!
        @ ^ [Y0: $i > $o] :
            ( !!
            @ ^ [Y1: $i > $o] :
                ( !!
                @ ^ [Y2: $i > $o] :
                    ( ( ( Y1 = Y2 )
                      & ( Y0 = Y1 ) )
                   => ( Y0 = Y2 ) ) ) ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl133,plain,
    ( ~ ( !!
        @ ^ [Y0: $i > $o] :
            ( !!
            @ ^ [Y1: $i > $o] :
                ( ( Y0 = Y1 )
               => ( !!
                  @ ^ [Y2: $i] :
                      ( ( Y0 @ Y2 )
                     => ( Y1 @ Y2 ) ) ) ) ) )
    | ~ ( !!
        @ ^ [Y0: $i > $o] :
            ( !!
            @ ^ [Y1: $i > $o] :
                ( !!
                @ ^ [Y2: $i > $o] :
                    ( ( ( Y1 = Y2 )
                      & ( Y0 = Y1 ) )
                   => ( Y0 = Y2 ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl132]) ).

thf(zip_derived_cl134,plain,
    ( ~ ( !!
        @ ^ [Y0: $i > $o] :
            ( ( '#sk1758' = Y0 )
           => ( !!
              @ ^ [Y1: $i] :
                  ( ( '#sk1758' @ Y1 )
                 => ( Y0 @ Y1 ) ) ) ) )
    | ~ ( !!
        @ ^ [Y0: $i > $o] :
            ( !!
            @ ^ [Y1: $i > $o] :
                ( !!
                @ ^ [Y2: $i > $o] :
                    ( ( ( Y1 = Y2 )
                      & ( Y0 = Y1 ) )
                   => ( Y0 = Y2 ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl133]) ).

thf(zip_derived_cl135,plain,
    ( ~ ( ( '#sk1758' = '#sk1759' )
       => ( !!
          @ ^ [Y0: $i] :
              ( ( '#sk1758' @ Y0 )
             => ( '#sk1759' @ Y0 ) ) ) )
    | ~ ( !!
        @ ^ [Y0: $i > $o] :
            ( !!
            @ ^ [Y1: $i > $o] :
                ( !!
                @ ^ [Y2: $i > $o] :
                    ( ( ( Y1 = Y2 )
                      & ( Y0 = Y1 ) )
                   => ( Y0 = Y2 ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl134]) ).

thf(zip_derived_cl136,plain,
    ( ( '#sk1758' = '#sk1759' )
    | ~ ( !!
        @ ^ [Y0: $i > $o] :
            ( !!
            @ ^ [Y1: $i > $o] :
                ( !!
                @ ^ [Y2: $i > $o] :
                    ( ( ( Y1 = Y2 )
                      & ( Y0 = Y1 ) )
                   => ( Y0 = Y2 ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl135]) ).

thf(zip_derived_cl138,plain,
    ( ( '#sk1758' = '#sk1759' )
    | ~ ( !!
        @ ^ [Y0: $i > $o] :
            ( !!
            @ ^ [Y1: $i > $o] :
                ( !!
                @ ^ [Y2: $i > $o] :
                    ( ( ( Y1 = Y2 )
                      & ( Y0 = Y1 ) )
                   => ( Y0 = Y2 ) ) ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl136]) ).

thf(zip_derived_cl139,plain,
    ( ~ ( !!
        @ ^ [Y0: $i > $o] :
            ( !!
            @ ^ [Y1: $i > $o] :
                ( ( ( Y0 = Y1 )
                  & ( '#sk1760' = Y0 ) )
               => ( '#sk1760' = Y1 ) ) ) )
    | ( '#sk1758' = '#sk1759' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl138]) ).

thf(zip_derived_cl141,plain,
    ( ~ ( !!
        @ ^ [Y0: $i > $o] :
            ( ( ( '#sk1762' = Y0 )
              & ( '#sk1760' = '#sk1762' ) )
           => ( '#sk1760' = Y0 ) ) )
    | ( '#sk1758' = '#sk1759' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl139]) ).

thf(zip_derived_cl144,plain,
    ( ~ ( ( ( '#sk1762' = '#sk1763' )
          & ( '#sk1760' = '#sk1762' ) )
       => ( '#sk1760' = '#sk1763' ) )
    | ( '#sk1758' = '#sk1759' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl141]) ).

thf(zip_derived_cl147,plain,
    ( ( ( '#sk1762' = '#sk1763' )
      & ( '#sk1760' = '#sk1762' ) )
    | ( '#sk1758' = '#sk1759' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl144]) ).

thf(zip_derived_cl152,plain,
    ( ( '#sk1760' = '#sk1762' )
    | ( '#sk1758' = '#sk1759' ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl147]) ).

thf(zip_derived_cl157,plain,
    ( ( '#sk1760' = '#sk1762' )
    | ( '#sk1758' = '#sk1759' ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl152]) ).

thf(zip_derived_cl151,plain,
    ( ( '#sk1762' = '#sk1763' )
    | ( '#sk1758' = '#sk1759' ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl147]) ).

thf(zip_derived_cl156,plain,
    ( ( '#sk1762' = '#sk1763' )
    | ( '#sk1758' = '#sk1759' ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl151]) ).

thf(zip_derived_cl148,plain,
    ( ( '#sk1760' != '#sk1763' )
    | ( '#sk1758' = '#sk1759' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl144]) ).

thf(zip_derived_cl153,plain,
    ( ( '#sk1760' != '#sk1763' )
    | ( '#sk1758' = '#sk1759' ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl148]) ).

thf(zip_derived_cl373,plain,
    ( ( '#sk1760' != '#sk1762' )
    | ( '#sk1758' = '#sk1759' )
    | ( '#sk1758' = '#sk1759' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl156,zip_derived_cl153]) ).

thf(zip_derived_cl379,plain,
    ( ( '#sk1758' = '#sk1759' )
    | ( '#sk1760' != '#sk1762' ) ),
    inference(simplify,[status(thm)],[zip_derived_cl373]) ).

thf(zip_derived_cl505,plain,
    '#sk1758' = '#sk1759',
    inference(clc,[status(thm)],[zip_derived_cl157,zip_derived_cl379]) ).

thf(zip_derived_cl506,plain,
    ! [X1: $i] :
      ( ( '#sk1758' @ X1 )
      = ( '#sk1759' @ X1 ) ),
    inference(ho_complete_eq,[status(thm)],[zip_derived_cl505]) ).

thf(zip_derived_cl137,plain,
    ( ~ ( !!
        @ ^ [Y0: $i] :
            ( ( '#sk1758' @ Y0 )
           => ( '#sk1759' @ Y0 ) ) )
    | ~ ( !!
        @ ^ [Y0: $i > $o] :
            ( !!
            @ ^ [Y1: $i > $o] :
                ( !!
                @ ^ [Y2: $i > $o] :
                    ( ( ( Y1 = Y2 )
                      & ( Y0 = Y1 ) )
                   => ( Y0 = Y2 ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl135]) ).

thf(zip_derived_cl140,plain,
    ( ~ ( ( '#sk1758' @ '#sk1761' )
       => ( '#sk1759' @ '#sk1761' ) )
    | ~ ( !!
        @ ^ [Y0: $i > $o] :
            ( !!
            @ ^ [Y1: $i > $o] :
                ( !!
                @ ^ [Y2: $i > $o] :
                    ( ( ( Y1 = Y2 )
                      & ( Y0 = Y1 ) )
                   => ( Y0 = Y2 ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl137]) ).

thf(zip_derived_cl143,plain,
    ( ~ ( '#sk1759' @ '#sk1761' )
    | ~ ( !!
        @ ^ [Y0: $i > $o] :
            ( !!
            @ ^ [Y1: $i > $o] :
                ( !!
                @ ^ [Y2: $i > $o] :
                    ( ( ( Y1 = Y2 )
                      & ( Y0 = Y1 ) )
                   => ( Y0 = Y2 ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl140]) ).

thf(zip_derived_cl146,plain,
    ( ~ ( !!
        @ ^ [Y0: $i > $o] :
            ( !!
            @ ^ [Y1: $i > $o] :
                ( ( ( Y0 = Y1 )
                  & ( '#sk1760' = Y0 ) )
               => ( '#sk1760' = Y1 ) ) ) )
    | ~ ( '#sk1759' @ '#sk1761' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl143]) ).

thf(zip_derived_cl150,plain,
    ( ~ ( !!
        @ ^ [Y0: $i > $o] :
            ( ( ( '#sk1762' = Y0 )
              & ( '#sk1760' = '#sk1762' ) )
           => ( '#sk1760' = Y0 ) ) )
    | ~ ( '#sk1759' @ '#sk1761' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl146]) ).

thf(zip_derived_cl155,plain,
    ( ~ ( ( ( '#sk1762' = '#sk1763' )
          & ( '#sk1760' = '#sk1762' ) )
       => ( '#sk1760' = '#sk1763' ) )
    | ~ ( '#sk1759' @ '#sk1761' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl150]) ).

thf(zip_derived_cl160,plain,
    ( ( ( '#sk1762' = '#sk1763' )
      & ( '#sk1760' = '#sk1762' ) )
    | ~ ( '#sk1759' @ '#sk1761' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl155]) ).

thf(zip_derived_cl165,plain,
    ( ( '#sk1762' = '#sk1763' )
    | ~ ( '#sk1759' @ '#sk1761' ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl160]) ).

thf(zip_derived_cl170,plain,
    ( ( '#sk1762' = '#sk1763' )
    | ~ ( '#sk1759' @ '#sk1761' ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl165]) ).

thf(zip_derived_cl754,plain,
    ( ~ ( '#sk1758' @ '#sk1761' )
    | ( '#sk1762' = '#sk1763' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl506,zip_derived_cl170]) ).

thf(zip_derived_cl506_001,plain,
    ! [X1: $i] :
      ( ( '#sk1758' @ X1 )
      = ( '#sk1759' @ X1 ) ),
    inference(ho_complete_eq,[status(thm)],[zip_derived_cl505]) ).

thf(zip_derived_cl166,plain,
    ( ( '#sk1760' = '#sk1762' )
    | ~ ( '#sk1759' @ '#sk1761' ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl160]) ).

thf(zip_derived_cl171,plain,
    ( ( '#sk1760' = '#sk1762' )
    | ~ ( '#sk1759' @ '#sk1761' ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl166]) ).

thf(zip_derived_cl691,plain,
    ( ~ ( '#sk1758' @ '#sk1761' )
    | ( '#sk1760' = '#sk1762' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl506,zip_derived_cl171]) ).

thf(zip_derived_cl142,plain,
    ( ( '#sk1758' @ '#sk1761' )
    | ~ ( !!
        @ ^ [Y0: $i > $o] :
            ( !!
            @ ^ [Y1: $i > $o] :
                ( !!
                @ ^ [Y2: $i > $o] :
                    ( ( ( Y1 = Y2 )
                      & ( Y0 = Y1 ) )
                   => ( Y0 = Y2 ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl140]) ).

thf(zip_derived_cl145,plain,
    ( ~ ( !!
        @ ^ [Y0: $i > $o] :
            ( !!
            @ ^ [Y1: $i > $o] :
                ( ( ( Y0 = Y1 )
                  & ( '#sk1760' = Y0 ) )
               => ( '#sk1760' = Y1 ) ) ) )
    | ( '#sk1758' @ '#sk1761' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl142]) ).

thf(zip_derived_cl149,plain,
    ( ~ ( !!
        @ ^ [Y0: $i > $o] :
            ( ( ( '#sk1762' = Y0 )
              & ( '#sk1760' = '#sk1762' ) )
           => ( '#sk1760' = Y0 ) ) )
    | ( '#sk1758' @ '#sk1761' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl145]) ).

thf(zip_derived_cl154,plain,
    ( ~ ( ( ( '#sk1762' = '#sk1763' )
          & ( '#sk1760' = '#sk1762' ) )
       => ( '#sk1760' = '#sk1763' ) )
    | ( '#sk1758' @ '#sk1761' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl149]) ).

thf(zip_derived_cl158,plain,
    ( ( ( '#sk1762' = '#sk1763' )
      & ( '#sk1760' = '#sk1762' ) )
    | ( '#sk1758' @ '#sk1761' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl154]) ).

thf(zip_derived_cl163,plain,
    ( ( '#sk1760' = '#sk1762' )
    | ( '#sk1758' @ '#sk1761' ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl158]) ).

thf(zip_derived_cl169,plain,
    ( ( '#sk1760' = '#sk1762' )
    | ( '#sk1758' @ '#sk1761' ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl163]) ).

thf(zip_derived_cl745,plain,
    '#sk1760' = '#sk1762',
    inference(clc,[status(thm)],[zip_derived_cl691,zip_derived_cl169]) ).

thf(zip_derived_cl506_002,plain,
    ! [X1: $i] :
      ( ( '#sk1758' @ X1 )
      = ( '#sk1759' @ X1 ) ),
    inference(ho_complete_eq,[status(thm)],[zip_derived_cl505]) ).

thf(zip_derived_cl161,plain,
    ( ( '#sk1760' != '#sk1763' )
    | ~ ( '#sk1759' @ '#sk1761' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl155]) ).

thf(zip_derived_cl167,plain,
    ( ( '#sk1760' != '#sk1763' )
    | ~ ( '#sk1759' @ '#sk1761' ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl161]) ).

thf(zip_derived_cl693,plain,
    ( ~ ( '#sk1758' @ '#sk1761' )
    | ( '#sk1760' != '#sk1763' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl506,zip_derived_cl167]) ).

thf(zip_derived_cl159,plain,
    ( ( '#sk1760' != '#sk1763' )
    | ( '#sk1758' @ '#sk1761' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl154]) ).

thf(zip_derived_cl164,plain,
    ( ( '#sk1760' != '#sk1763' )
    | ( '#sk1758' @ '#sk1761' ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl159]) ).

thf(zip_derived_cl743,plain,
    '#sk1760' != '#sk1763',
    inference(clc,[status(thm)],[zip_derived_cl693,zip_derived_cl164]) ).

thf(zip_derived_cl746,plain,
    '#sk1762' != '#sk1763',
    inference('sup-',[status(thm)],[zip_derived_cl745,zip_derived_cl743]) ).

thf(zip_derived_cl759,plain,
    ~ ( '#sk1758' @ '#sk1761' ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl754,zip_derived_cl746]) ).

thf(zip_derived_cl506_003,plain,
    ! [X1: $i] :
      ( ( '#sk1758' @ X1 )
      = ( '#sk1759' @ X1 ) ),
    inference(ho_complete_eq,[status(thm)],[zip_derived_cl505]) ).

thf(zip_derived_cl762,plain,
    ~ ( '#sk1759' @ '#sk1761' ),
    inference('sup+',[status(thm)],[zip_derived_cl759,zip_derived_cl506]) ).

thf(zip_derived_cl506_004,plain,
    ! [X1: $i] :
      ( ( '#sk1758' @ X1 )
      = ( '#sk1759' @ X1 ) ),
    inference(ho_complete_eq,[status(thm)],[zip_derived_cl505]) ).

thf(zip_derived_cl162,plain,
    ( ( '#sk1762' = '#sk1763' )
    | ( '#sk1758' @ '#sk1761' ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl158]) ).

thf(zip_derived_cl168,plain,
    ( ( '#sk1762' = '#sk1763' )
    | ( '#sk1758' @ '#sk1761' ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl162]) ).

thf(zip_derived_cl753,plain,
    ( ( '#sk1759' @ '#sk1761' )
    | ( '#sk1762' = '#sk1763' ) ),
    inference('sup+',[status(thm)],[zip_derived_cl506,zip_derived_cl168]) ).

thf(zip_derived_cl746_005,plain,
    '#sk1762' != '#sk1763',
    inference('sup-',[status(thm)],[zip_derived_cl745,zip_derived_cl743]) ).

thf(zip_derived_cl758,plain,
    '#sk1759' @ '#sk1761',
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl753,zip_derived_cl746]) ).

thf(zip_derived_cl882,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl762,zip_derived_cl758]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEV058^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.GOz2jVefCS true
% 0.13/0.34  % Computer : n022.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Thu Aug 24 02:53:41 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in HO mode
% 0.21/0.66  % Total configuration time : 828
% 0.21/0.66  % Estimated wc time : 1656
% 0.21/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 14.87/2.53  % Solved by lams/30_sp5.sh.
% 14.87/2.53  % done 45 iterations in 1.715s
% 14.87/2.53  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 14.87/2.53  % SZS output start Refutation
% See solution above
% 14.87/2.53  
% 14.87/2.53  
% 14.87/2.53  % Terminating...
% 14.88/2.58  % Runner terminated.
% 14.88/2.58  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------