TSTP Solution File: SEV086^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV086^5 : 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.Unxvbr6pqX 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 19:59:33 EDT 2023

% Result   : Theorem 26.72s 4.00s
% Output   : Refutation 26.72s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   27
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   61 (  10 unt;   6 typ;   0 def)
%            Number of atoms       :  383 ( 122 equ;   0 cnn)
%            Maximal formula atoms :   13 (   6 avg)
%            Number of connectives :  488 (  54   ~;  40   |;  48   &; 205   @)
%                                         (  29 <=>;  33  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   87 (  87   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   6 usr;   4 con; 0-2 aty)
%                                         (  78  !!;   1  ??;   0 @@+;   0 @@-)
%            Number of variables   :   99 (  79   ^;  18   !;   2   ?;  99   :)

% Comments : 
%------------------------------------------------------------------------------
thf('#sk1998_type',type,
    '#sk1998': $i > $o ).

thf('#sk2000_type',type,
    '#sk2000': $i ).

thf('#sk1995_type',type,
    '#sk1995': $i > $o ).

thf('#sk1999_type',type,
    '#sk1999': $i > $o ).

thf('#sk1996_type',type,
    '#sk1996': $i > $o ).

thf('#sk1997_type',type,
    '#sk1997': $i > $o ).

thf(cTHM120I_pme,conjecture,
    ? [R: ( $i > $o ) > ( $i > $o ) > $o] :
      ( ! [Xx: $i > $o] : ( R @ Xx @ Xx )
      & ! [Xx: $i > $o,Xy: $i > $o,Xz: $i > $o] :
          ( ( ( R @ Xy @ Xz )
            & ( R @ Xx @ Xy ) )
         => ( R @ Xx @ Xz ) )
      & ! [X: $i > $o,Y: $i > $o] :
          ( ( ( R @ Y @ X )
            & ( R @ X @ Y ) )
         => ! [Xx: $i] :
              ( ( X @ Xx )
            <=> ( Y @ Xx ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [R: ( $i > $o ) > ( $i > $o ) > $o] :
        ( ! [Xx: $i > $o] : ( R @ Xx @ Xx )
        & ! [Xx: $i > $o,Xy: $i > $o,Xz: $i > $o] :
            ( ( ( R @ Xy @ Xz )
              & ( R @ Xx @ Xy ) )
           => ( R @ Xx @ Xz ) )
        & ! [X: $i > $o,Y: $i > $o] :
            ( ( ( R @ Y @ X )
              & ( R @ X @ Y ) )
           => ! [Xx: $i] :
                ( ( X @ Xx )
              <=> ( Y @ Xx ) ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM120I_pme]) ).

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

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

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

thf(zip_derived_cl110,plain,
    ~ ( ( !!
        @ ^ [Y0: $i > $o] :
            ( !!
            @ ^ [Y1: $i > $o] :
                ( !!
                @ ^ [Y2: $i > $o] :
                    ( ( ( Y1 = Y2 )
                      & ( Y0 = Y1 ) )
                   => ( Y0 = Y2 ) ) ) ) )
      & ( !!
        @ ^ [Y0: $i > $o] :
            ( !!
            @ ^ [Y1: $i > $o] :
                ( ( ( Y1 = Y0 )
                  & ( Y0 = Y1 ) )
               => ( !!
                  @ ^ [Y2: $i] :
                      ( ( Y0 @ Y2 )
                    <=> ( Y1 @ Y2 ) ) ) ) ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl111,plain,
    ( ~ ( !!
        @ ^ [Y0: $i > $o] :
            ( !!
            @ ^ [Y1: $i > $o] :
                ( !!
                @ ^ [Y2: $i > $o] :
                    ( ( ( Y1 = Y2 )
                      & ( Y0 = Y1 ) )
                   => ( Y0 = Y2 ) ) ) ) )
    | ~ ( !!
        @ ^ [Y0: $i > $o] :
            ( !!
            @ ^ [Y1: $i > $o] :
                ( ( ( Y1 = Y0 )
                  & ( Y0 = Y1 ) )
               => ( !!
                  @ ^ [Y2: $i] :
                      ( ( Y0 @ Y2 )
                    <=> ( Y1 @ Y2 ) ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl110]) ).

thf(zip_derived_cl112,plain,
    ( ~ ( !!
        @ ^ [Y0: $i > $o] :
            ( !!
            @ ^ [Y1: $i > $o] :
                ( ( ( Y0 = Y1 )
                  & ( '#sk1995' = Y0 ) )
               => ( '#sk1995' = Y1 ) ) ) )
    | ~ ( !!
        @ ^ [Y0: $i > $o] :
            ( !!
            @ ^ [Y1: $i > $o] :
                ( ( ( Y1 = Y0 )
                  & ( Y0 = Y1 ) )
               => ( !!
                  @ ^ [Y2: $i] :
                      ( ( Y0 @ Y2 )
                    <=> ( Y1 @ Y2 ) ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl111]) ).

thf(zip_derived_cl113,plain,
    ( ~ ( !!
        @ ^ [Y0: $i > $o] :
            ( ( ( '#sk1996' = Y0 )
              & ( '#sk1995' = '#sk1996' ) )
           => ( '#sk1995' = Y0 ) ) )
    | ~ ( !!
        @ ^ [Y0: $i > $o] :
            ( !!
            @ ^ [Y1: $i > $o] :
                ( ( ( Y1 = Y0 )
                  & ( Y0 = Y1 ) )
               => ( !!
                  @ ^ [Y2: $i] :
                      ( ( Y0 @ Y2 )
                    <=> ( Y1 @ Y2 ) ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl112]) ).

thf(zip_derived_cl114,plain,
    ( ~ ( ( ( '#sk1996' = '#sk1997' )
          & ( '#sk1995' = '#sk1996' ) )
       => ( '#sk1995' = '#sk1997' ) )
    | ~ ( !!
        @ ^ [Y0: $i > $o] :
            ( !!
            @ ^ [Y1: $i > $o] :
                ( ( ( Y1 = Y0 )
                  & ( Y0 = Y1 ) )
               => ( !!
                  @ ^ [Y2: $i] :
                      ( ( Y0 @ Y2 )
                    <=> ( Y1 @ Y2 ) ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl113]) ).

thf(zip_derived_cl115,plain,
    ( ( ( '#sk1996' = '#sk1997' )
      & ( '#sk1995' = '#sk1996' ) )
    | ~ ( !!
        @ ^ [Y0: $i > $o] :
            ( !!
            @ ^ [Y1: $i > $o] :
                ( ( ( Y1 = Y0 )
                  & ( Y0 = Y1 ) )
               => ( !!
                  @ ^ [Y2: $i] :
                      ( ( Y0 @ Y2 )
                    <=> ( Y1 @ Y2 ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl114]) ).

thf(zip_derived_cl118,plain,
    ( ( '#sk1995' = '#sk1996' )
    | ~ ( !!
        @ ^ [Y0: $i > $o] :
            ( !!
            @ ^ [Y1: $i > $o] :
                ( ( ( Y1 = Y0 )
                  & ( Y0 = Y1 ) )
               => ( !!
                  @ ^ [Y2: $i] :
                      ( ( Y0 @ Y2 )
                    <=> ( Y1 @ Y2 ) ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl115]) ).

thf(zip_derived_cl123,plain,
    ( ( '#sk1995' = '#sk1996' )
    | ~ ( !!
        @ ^ [Y0: $i > $o] :
            ( !!
            @ ^ [Y1: $i > $o] :
                ( ( ( Y1 = Y0 )
                  & ( Y0 = Y1 ) )
               => ( !!
                  @ ^ [Y2: $i] :
                      ( ( Y0 @ Y2 )
                    <=> ( Y1 @ Y2 ) ) ) ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl118]) ).

thf(zip_derived_cl124,plain,
    ( ~ ( !!
        @ ^ [Y0: $i > $o] :
            ( ( ( Y0 = '#sk1998' )
              & ( '#sk1998' = Y0 ) )
           => ( !!
              @ ^ [Y1: $i] :
                  ( ( '#sk1998' @ Y1 )
                <=> ( Y0 @ Y1 ) ) ) ) )
    | ( '#sk1995' = '#sk1996' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl123]) ).

thf(zip_derived_cl127,plain,
    ( ~ ( ( ( '#sk1999' = '#sk1998' )
          & ( '#sk1998' = '#sk1999' ) )
       => ( !!
          @ ^ [Y0: $i] :
              ( ( '#sk1998' @ Y0 )
            <=> ( '#sk1999' @ Y0 ) ) ) )
    | ( '#sk1995' = '#sk1996' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl124]) ).

thf(zip_derived_cl132,plain,
    ( ( ( '#sk1999' = '#sk1998' )
      & ( '#sk1998' = '#sk1999' ) )
    | ( '#sk1995' = '#sk1996' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl127]) ).

thf(zip_derived_cl140,plain,
    ( ( '#sk1999' = '#sk1998' )
    | ( '#sk1995' = '#sk1996' ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl132]) ).

thf(zip_derived_cl149,plain,
    ( ( '#sk1999' = '#sk1998' )
    | ( '#sk1995' = '#sk1996' ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl140]) ).

thf(zip_derived_cl117,plain,
    ( ( '#sk1996' = '#sk1997' )
    | ~ ( !!
        @ ^ [Y0: $i > $o] :
            ( !!
            @ ^ [Y1: $i > $o] :
                ( ( ( Y1 = Y0 )
                  & ( Y0 = Y1 ) )
               => ( !!
                  @ ^ [Y2: $i] :
                      ( ( Y0 @ Y2 )
                    <=> ( Y1 @ Y2 ) ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl115]) ).

thf(zip_derived_cl121,plain,
    ( ( '#sk1996' = '#sk1997' )
    | ~ ( !!
        @ ^ [Y0: $i > $o] :
            ( !!
            @ ^ [Y1: $i > $o] :
                ( ( ( Y1 = Y0 )
                  & ( Y0 = Y1 ) )
               => ( !!
                  @ ^ [Y2: $i] :
                      ( ( Y0 @ Y2 )
                    <=> ( Y1 @ Y2 ) ) ) ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl117]) ).

thf(zip_derived_cl122,plain,
    ( ~ ( !!
        @ ^ [Y0: $i > $o] :
            ( ( ( Y0 = '#sk1998' )
              & ( '#sk1998' = Y0 ) )
           => ( !!
              @ ^ [Y1: $i] :
                  ( ( '#sk1998' @ Y1 )
                <=> ( Y0 @ Y1 ) ) ) ) )
    | ( '#sk1996' = '#sk1997' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl121]) ).

thf(zip_derived_cl126,plain,
    ( ~ ( ( ( '#sk1999' = '#sk1998' )
          & ( '#sk1998' = '#sk1999' ) )
       => ( !!
          @ ^ [Y0: $i] :
              ( ( '#sk1998' @ Y0 )
            <=> ( '#sk1999' @ Y0 ) ) ) )
    | ( '#sk1996' = '#sk1997' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl122]) ).

thf(zip_derived_cl130,plain,
    ( ( ( '#sk1999' = '#sk1998' )
      & ( '#sk1998' = '#sk1999' ) )
    | ( '#sk1996' = '#sk1997' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl126]) ).

thf(zip_derived_cl137,plain,
    ( ( '#sk1999' = '#sk1998' )
    | ( '#sk1996' = '#sk1997' ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl130]) ).

thf(zip_derived_cl146,plain,
    ( ( '#sk1999' = '#sk1998' )
    | ( '#sk1996' = '#sk1997' ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl137]) ).

thf(zip_derived_cl116,plain,
    ( ( '#sk1995' != '#sk1997' )
    | ~ ( !!
        @ ^ [Y0: $i > $o] :
            ( !!
            @ ^ [Y1: $i > $o] :
                ( ( ( Y1 = Y0 )
                  & ( Y0 = Y1 ) )
               => ( !!
                  @ ^ [Y2: $i] :
                      ( ( Y0 @ Y2 )
                    <=> ( Y1 @ Y2 ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl114]) ).

thf(zip_derived_cl119,plain,
    ( ( '#sk1995' != '#sk1997' )
    | ~ ( !!
        @ ^ [Y0: $i > $o] :
            ( !!
            @ ^ [Y1: $i > $o] :
                ( ( ( Y1 = Y0 )
                  & ( Y0 = Y1 ) )
               => ( !!
                  @ ^ [Y2: $i] :
                      ( ( Y0 @ Y2 )
                    <=> ( Y1 @ Y2 ) ) ) ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl116]) ).

thf(zip_derived_cl120,plain,
    ( ~ ( !!
        @ ^ [Y0: $i > $o] :
            ( ( ( Y0 = '#sk1998' )
              & ( '#sk1998' = Y0 ) )
           => ( !!
              @ ^ [Y1: $i] :
                  ( ( '#sk1998' @ Y1 )
                <=> ( Y0 @ Y1 ) ) ) ) )
    | ( '#sk1995' != '#sk1997' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl119]) ).

thf(zip_derived_cl125,plain,
    ( ~ ( ( ( '#sk1999' = '#sk1998' )
          & ( '#sk1998' = '#sk1999' ) )
       => ( !!
          @ ^ [Y0: $i] :
              ( ( '#sk1998' @ Y0 )
            <=> ( '#sk1999' @ Y0 ) ) ) )
    | ( '#sk1995' != '#sk1997' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl120]) ).

thf(zip_derived_cl128,plain,
    ( ( ( '#sk1999' = '#sk1998' )
      & ( '#sk1998' = '#sk1999' ) )
    | ( '#sk1995' != '#sk1997' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl125]) ).

thf(zip_derived_cl134,plain,
    ( ( '#sk1999' = '#sk1998' )
    | ( '#sk1995' != '#sk1997' ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl128]) ).

thf(zip_derived_cl143,plain,
    ( ( '#sk1999' = '#sk1998' )
    | ( '#sk1995' != '#sk1997' ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl134]) ).

thf(zip_derived_cl364,plain,
    ( ( '#sk1995' != '#sk1996' )
    | ( '#sk1999' = '#sk1998' )
    | ( '#sk1999' = '#sk1998' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl146,zip_derived_cl143]) ).

thf(zip_derived_cl373,plain,
    ( ( '#sk1999' = '#sk1998' )
    | ( '#sk1995' != '#sk1996' ) ),
    inference(simplify,[status(thm)],[zip_derived_cl364]) ).

thf(zip_derived_cl498,plain,
    '#sk1999' = '#sk1998',
    inference(clc,[status(thm)],[zip_derived_cl149,zip_derived_cl373]) ).

thf(zip_derived_cl499,plain,
    ! [X1: $i] :
      ( ( '#sk1999' @ X1 )
      = ( '#sk1998' @ X1 ) ),
    inference(ho_complete_eq,[status(thm)],[zip_derived_cl498]) ).

thf(zip_derived_cl133,plain,
    ( ~ ( !!
        @ ^ [Y0: $i] :
            ( ( '#sk1998' @ Y0 )
          <=> ( '#sk1999' @ Y0 ) ) )
    | ( '#sk1995' = '#sk1996' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl127]) ).

thf(zip_derived_cl142,plain,
    ( ~ ( ( '#sk1998' @ '#sk2000' )
      <=> ( '#sk1999' @ '#sk2000' ) )
    | ( '#sk1995' = '#sk1996' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl133]) ).

thf(zip_derived_cl151,plain,
    ( ( ( '#sk1998' @ '#sk2000' )
     != ( '#sk1999' @ '#sk2000' ) )
    | ( '#sk1995' = '#sk1996' ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl142]) ).

thf(zip_derived_cl499_001,plain,
    ! [X1: $i] :
      ( ( '#sk1999' @ X1 )
      = ( '#sk1998' @ X1 ) ),
    inference(ho_complete_eq,[status(thm)],[zip_derived_cl498]) ).

thf(zip_derived_cl131,plain,
    ( ~ ( !!
        @ ^ [Y0: $i] :
            ( ( '#sk1998' @ Y0 )
          <=> ( '#sk1999' @ Y0 ) ) )
    | ( '#sk1996' = '#sk1997' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl126]) ).

thf(zip_derived_cl139,plain,
    ( ~ ( ( '#sk1998' @ '#sk2000' )
      <=> ( '#sk1999' @ '#sk2000' ) )
    | ( '#sk1996' = '#sk1997' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl131]) ).

thf(zip_derived_cl148,plain,
    ( ( ( '#sk1998' @ '#sk2000' )
     != ( '#sk1999' @ '#sk2000' ) )
    | ( '#sk1996' = '#sk1997' ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl139]) ).

thf(zip_derived_cl500,plain,
    ( ( ( '#sk1998' @ '#sk2000' )
     != ( '#sk1998' @ '#sk2000' ) )
    | ( '#sk1996' = '#sk1997' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl499,zip_derived_cl148]) ).

thf(zip_derived_cl544,plain,
    '#sk1996' = '#sk1997',
    inference(simplify,[status(thm)],[zip_derived_cl500]) ).

thf(zip_derived_cl499_002,plain,
    ! [X1: $i] :
      ( ( '#sk1999' @ X1 )
      = ( '#sk1998' @ X1 ) ),
    inference(ho_complete_eq,[status(thm)],[zip_derived_cl498]) ).

thf(zip_derived_cl129,plain,
    ( ~ ( !!
        @ ^ [Y0: $i] :
            ( ( '#sk1998' @ Y0 )
          <=> ( '#sk1999' @ Y0 ) ) )
    | ( '#sk1995' != '#sk1997' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl125]) ).

thf(zip_derived_cl136,plain,
    ( ~ ( ( '#sk1998' @ '#sk2000' )
      <=> ( '#sk1999' @ '#sk2000' ) )
    | ( '#sk1995' != '#sk1997' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl129]) ).

thf(zip_derived_cl145,plain,
    ( ( ( '#sk1998' @ '#sk2000' )
     != ( '#sk1999' @ '#sk2000' ) )
    | ( '#sk1995' != '#sk1997' ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl136]) ).

thf(zip_derived_cl501,plain,
    ( ( ( '#sk1998' @ '#sk2000' )
     != ( '#sk1998' @ '#sk2000' ) )
    | ( '#sk1995' != '#sk1997' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl499,zip_derived_cl145]) ).

thf(zip_derived_cl545,plain,
    '#sk1995' != '#sk1997',
    inference(simplify,[status(thm)],[zip_derived_cl501]) ).

thf(zip_derived_cl568,plain,
    '#sk1995' != '#sk1996',
    inference('sup-',[status(thm)],[zip_derived_cl544,zip_derived_cl545]) ).

thf(zip_derived_cl1578,plain,
    ( ( '#sk1998' @ '#sk2000' )
   != ( '#sk1999' @ '#sk2000' ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl151,zip_derived_cl568]) ).

thf(zip_derived_cl1579,plain,
    ( ( '#sk1998' @ '#sk2000' )
   != ( '#sk1998' @ '#sk2000' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl499,zip_derived_cl1578]) ).

thf(zip_derived_cl1599,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl1579]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEV086^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Unxvbr6pqX true
% 0.17/0.35  % Computer : n022.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Thu Aug 24 02:33:41 EDT 2023
% 0.17/0.35  % CPUTime  : 
% 0.17/0.35  % Running portfolio for 300 s
% 0.17/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.35  % Number of cores: 8
% 0.17/0.36  % Python version: Python 3.6.8
% 0.17/0.36  % 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
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.72  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.78  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.79  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 26.72/4.00  % Solved by lams/30_sp5.sh.
% 26.72/4.00  % done 78 iterations in 3.170s
% 26.72/4.00  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 26.72/4.00  % SZS output start Refutation
% See solution above
% 26.72/4.00  
% 26.72/4.00  
% 26.72/4.00  % Terminating...
% 26.94/4.08  % Runner terminated.
% 26.94/4.10  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------