TSTP Solution File: SEV100^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV100^5 : 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.blXE37yykw true

% Computer : n014.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 19:59:36 EDT 2023

% Result   : Theorem 68.47s 9.38s
% Output   : Refutation 68.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   24
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   37 (   6 unt;   4 typ;   0 def)
%            Number of atoms       :  306 (  59 equ;  12 cnn)
%            Maximal formula atoms :   24 (   9 avg)
%            Number of connectives :  574 (  42   ~;  53   |;  41   &; 318   @)
%                                         (   0 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  116 ( 116   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   4 usr;   6 con; 0-2 aty)
%                                         (  98  !!;   7  ??;   0 @@+;   0 @@-)
%            Number of variables   :  200 ( 173   ^;  23   !;   4   ?; 200   :)

% Comments : 
%------------------------------------------------------------------------------
thf(p_type,type,
    p: $o ).

thf('#sk4083_type',type,
    '#sk4083': $i > $o ).

thf('#sk4084_type',type,
    '#sk4084': $i > $o ).

thf('#sk4085_type',type,
    '#sk4085': $i > $o ).

thf(cTHM120F_pme,conjecture,
    ? [Xr_28: ( $i > $o ) > ( $i > $o ) > $i > $o,Xr_27: ( $i > $o ) > ( $i > $o ) > $i > $o] :
      ( ! [Xx: $i > $o,Xy: $i > $o,Xz: $i > $o] :
          ( ( ! [Xw_2: $i] :
                ( ( Xr_27 @ Xy @ Xz @ Xw_2 )
                | ( Xr_28 @ Xy @ Xz @ Xw_2 ) )
            & ! [Xw_2: $i] :
                ( ( Xr_27 @ Xx @ Xy @ Xw_2 )
                | ( Xr_28 @ Xx @ Xy @ Xw_2 ) ) )
         => ! [Xw_2: $i] :
              ( ( Xr_27 @ Xx @ Xz @ Xw_2 )
              | ( Xr_28 @ Xx @ Xz @ Xw_2 ) ) )
      & ! [Xx: $i > $o,Xw_2: $i] :
          ( ( Xr_27 @ Xx @ Xx @ Xw_2 )
          | ( Xr_28 @ Xx @ Xx @ Xw_2 ) )
      & ~ ! [Xw_2: $i] :
            ( ( Xr_27
              @ ^ [Xx: $i] :
                  ( ~ p
                  | p )
              @ ^ [Xx: $i] :
                  ( ~ p
                  & p )
              @ Xw_2 )
            | ( Xr_28
              @ ^ [Xx: $i] :
                  ( ~ p
                  | p )
              @ ^ [Xx: $i] :
                  ( ~ p
                  & p )
              @ Xw_2 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [Xr_28: ( $i > $o ) > ( $i > $o ) > $i > $o,Xr_27: ( $i > $o ) > ( $i > $o ) > $i > $o] :
        ( ! [Xx: $i > $o,Xy: $i > $o,Xz: $i > $o] :
            ( ( ! [Xw_2: $i] :
                  ( ( Xr_27 @ Xy @ Xz @ Xw_2 )
                  | ( Xr_28 @ Xy @ Xz @ Xw_2 ) )
              & ! [Xw_2: $i] :
                  ( ( Xr_27 @ Xx @ Xy @ Xw_2 )
                  | ( Xr_28 @ Xx @ Xy @ Xw_2 ) ) )
           => ! [Xw_2: $i] :
                ( ( Xr_27 @ Xx @ Xz @ Xw_2 )
                | ( Xr_28 @ Xx @ Xz @ Xw_2 ) ) )
        & ! [Xx: $i > $o,Xw_2: $i] :
            ( ( Xr_27 @ Xx @ Xx @ Xw_2 )
            | ( Xr_28 @ Xx @ Xx @ Xw_2 ) )
        & ~ ! [Xw_2: $i] :
              ( ( Xr_27
                @ ^ [Xx: $i] :
                    ( ~ p
                    | p )
                @ ^ [Xx: $i] :
                    ( ~ p
                    & p )
                @ Xw_2 )
              | ( Xr_28
                @ ^ [Xx: $i] :
                    ( ~ p
                    | p )
                @ ^ [Xx: $i] :
                    ( ~ p
                    & p )
                @ Xw_2 ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM120F_pme]) ).

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

thf(zip_derived_cl1,plain,
    ~ ( ??
      @ ^ [Y0: ( $i > $o ) > ( $i > $o ) > $i > $o] :
          ( ??
          @ ^ [Y1: ( $i > $o ) > ( $i > $o ) > $i > $o] :
              ( ( !!
                @ ^ [Y2: $i > $o] :
                    ( !!
                    @ ^ [Y3: $i > $o] :
                        ( !!
                        @ ^ [Y4: $i > $o] :
                            ( ( ( !!
                                @ ^ [Y5: $i] :
                                    ( ( Y1 @ Y3 @ Y4 @ Y5 )
                                    | ( Y0 @ Y3 @ Y4 @ Y5 ) ) )
                              & ( !!
                                @ ^ [Y5: $i] :
                                    ( ( Y1 @ Y2 @ Y3 @ Y5 )
                                    | ( Y0 @ Y2 @ Y3 @ Y5 ) ) ) )
                           => ( !!
                              @ ^ [Y5: $i] :
                                  ( ( Y1 @ Y2 @ Y4 @ Y5 )
                                  | ( Y0 @ Y2 @ Y4 @ Y5 ) ) ) ) ) ) )
              & ( !!
                @ ^ [Y2: $i > $o] :
                    ( !!
                    @ ^ [Y3: $i] :
                        ( ( Y1 @ Y2 @ Y2 @ Y3 )
                        | ( Y0 @ Y2 @ Y2 @ Y3 ) ) ) )
              & ( (~)
                @ ( !!
                  @ ^ [Y2: $i] :
                      ( ( Y1
                        @ ^ [Y3: $i] : $true
                        @ ^ [Y3: $i] : $false
                        @ Y2 )
                      | ( Y0
                        @ ^ [Y3: $i] : $true
                        @ ^ [Y3: $i] : $false
                        @ Y2 ) ) ) ) ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ! [X2: ( $i > $o ) > ( $i > $o ) > $i > $o] :
      ~ ( ??
        @ ^ [Y0: ( $i > $o ) > ( $i > $o ) > $i > $o] :
            ( ( !!
              @ ^ [Y1: $i > $o] :
                  ( !!
                  @ ^ [Y2: $i > $o] :
                      ( !!
                      @ ^ [Y3: $i > $o] :
                          ( ( ( !!
                              @ ^ [Y4: $i] :
                                  ( ( Y0 @ Y2 @ Y3 @ Y4 )
                                  | ( X2 @ Y2 @ Y3 @ Y4 ) ) )
                            & ( !!
                              @ ^ [Y4: $i] :
                                  ( ( Y0 @ Y1 @ Y2 @ Y4 )
                                  | ( X2 @ Y1 @ Y2 @ Y4 ) ) ) )
                         => ( !!
                            @ ^ [Y4: $i] :
                                ( ( Y0 @ Y1 @ Y3 @ Y4 )
                                | ( X2 @ Y1 @ Y3 @ Y4 ) ) ) ) ) ) )
            & ( !!
              @ ^ [Y1: $i > $o] :
                  ( !!
                  @ ^ [Y2: $i] :
                      ( ( Y0 @ Y1 @ Y1 @ Y2 )
                      | ( X2 @ Y1 @ Y1 @ Y2 ) ) ) )
            & ( (~)
              @ ( !!
                @ ^ [Y1: $i] :
                    ( ( Y0
                      @ ^ [Y2: $i] : $true
                      @ ^ [Y2: $i] : $false
                      @ Y1 )
                    | ( X2
                      @ ^ [Y2: $i] : $true
                      @ ^ [Y2: $i] : $false
                      @ Y1 ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl4,plain,
    ~ ( ??
      @ ^ [Y0: ( $i > $o ) > ( $i > $o ) > $i > $o] :
          ( ( !!
            @ ^ [Y1: $i > $o] :
                ( !!
                @ ^ [Y2: $i > $o] :
                    ( !!
                    @ ^ [Y3: $i > $o] :
                        ( ( ( !!
                            @ ^ [Y4: $i] :
                                ( ( Y0 @ Y2 @ Y3 @ Y4 )
                                | $false ) )
                          & ( !!
                            @ ^ [Y4: $i] :
                                ( ( Y0 @ Y1 @ Y2 @ Y4 )
                                | $false ) ) )
                       => ( !!
                          @ ^ [Y4: $i] :
                              ( ( Y0 @ Y1 @ Y3 @ Y4 )
                              | $false ) ) ) ) ) )
          & ( !!
            @ ^ [Y1: $i > $o] :
                ( !!
                @ ^ [Y2: $i] :
                    ( ( Y0 @ Y1 @ Y1 @ Y2 )
                    | $false ) ) )
          & ( (~)
            @ ( !!
              @ ^ [Y1: $i] :
                  ( ( Y0
                    @ ^ [Y2: $i] : $true
                    @ ^ [Y2: $i] : $false
                    @ Y1 )
                  | $false ) ) ) ) ),
    inference('ho.refine.early.bird',[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl140,plain,
    ~ ( ??
      @ ^ [Y0: ( $i > $o ) > ( $i > $o ) > $i > $o] :
          ( ( !!
            @ ^ [Y1: $i > $o] :
                ( !!
                @ ^ [Y2: $i > $o] :
                    ( !!
                    @ ^ [Y3: $i > $o] :
                        ( ( ( !!
                            @ ^ [Y4: $i] : ( Y0 @ Y2 @ Y3 @ Y4 ) )
                          & ( !!
                            @ ^ [Y4: $i] : ( Y0 @ Y1 @ Y2 @ Y4 ) ) )
                       => ( !!
                          @ ^ [Y4: $i] : ( Y0 @ Y1 @ Y3 @ Y4 ) ) ) ) ) )
          & ( !!
            @ ^ [Y1: $i > $o] :
                ( !!
                @ ^ [Y2: $i] : ( Y0 @ Y1 @ Y1 @ Y2 ) ) )
          & ( (~)
            @ ( !!
              @ ^ [Y1: $i] :
                  ( Y0
                  @ ^ [Y2: $i] : $true
                  @ ^ [Y2: $i] : $false
                  @ Y1 ) ) ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl141,plain,
    ! [X2: ( $i > $o ) > ( $i > $o ) > $i > $o] :
      ~ ( ( !!
          @ ^ [Y0: $i > $o] :
              ( !!
              @ ^ [Y1: $i > $o] :
                  ( !!
                  @ ^ [Y2: $i > $o] :
                      ( ( ( !!
                          @ ^ [Y3: $i] : ( X2 @ Y1 @ Y2 @ Y3 ) )
                        & ( !!
                          @ ^ [Y3: $i] : ( X2 @ Y0 @ Y1 @ Y3 ) ) )
                     => ( !!
                        @ ^ [Y3: $i] : ( X2 @ Y0 @ Y2 @ Y3 ) ) ) ) ) )
        & ( !!
          @ ^ [Y0: $i > $o] :
              ( !!
              @ ^ [Y1: $i] : ( X2 @ Y0 @ Y0 @ Y1 ) ) )
        & ( (~)
          @ ( !!
            @ ^ [Y0: $i] :
                ( X2
                @ ^ [Y1: $i] : $true
                @ ^ [Y1: $i] : $false
                @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl140]) ).

thf(zip_derived_cl146,plain,
    ~ ( ( !!
        @ ^ [Y0: $i > $o] :
            ( !!
            @ ^ [Y1: $i > $o] :
                ( !!
                @ ^ [Y2: $i > $o] :
                    ( ( ( !!
                        @ ^ [Y3: $i] : ( Y1 = Y2 ) )
                      & ( !!
                        @ ^ [Y3: $i] : ( Y0 = Y1 ) ) )
                   => ( !!
                      @ ^ [Y3: $i] : ( Y0 = Y2 ) ) ) ) ) )
      & ( !!
        @ ^ [Y0: $i > $o] :
            ( !!
            @ ^ [Y1: $i] : ( Y0 = Y0 ) ) )
      & ( (~)
        @ ( !!
          @ ^ [Y0: $i] :
              ( ( ^ [Y1: $i] : $true )
              = ( ^ [Y1: $i] : $false ) ) ) ) ),
    inference('ho.refine.early.bird',[status(thm)],[zip_derived_cl141]) ).

thf(zip_derived_cl209,plain,
    ~ ( ( !!
        @ ^ [Y0: $i > $o] :
            ( !!
            @ ^ [Y1: $i > $o] :
                ( !!
                @ ^ [Y2: $i > $o] :
                    ( ( ( !!
                        @ ^ [Y3: $i] : ( Y1 = Y2 ) )
                      & ( !!
                        @ ^ [Y3: $i] : ( Y0 = Y1 ) ) )
                   => ( !!
                      @ ^ [Y3: $i] : ( Y0 = Y2 ) ) ) ) ) )
      & ( (~)
        @ ( ( ^ [Y0: $i] : $true )
          = ( ^ [Y0: $i] : $false ) ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl146]) ).

thf(zip_derived_cl210,plain,
    ( ~ ( !!
        @ ^ [Y0: $i > $o] :
            ( !!
            @ ^ [Y1: $i > $o] :
                ( !!
                @ ^ [Y2: $i > $o] :
                    ( ( ( !!
                        @ ^ [Y3: $i] : ( Y1 = Y2 ) )
                      & ( !!
                        @ ^ [Y3: $i] : ( Y0 = Y1 ) ) )
                   => ( !!
                      @ ^ [Y3: $i] : ( Y0 = Y2 ) ) ) ) ) )
    | ( ( ^ [Y0: $i] : $true )
      = ( ^ [Y0: $i] : $false ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl209]) ).

thf(zip_derived_cl211,plain,
    ( ~ ( !!
        @ ^ [Y0: $i > $o] :
            ( !!
            @ ^ [Y1: $i > $o] :
                ( !!
                @ ^ [Y2: $i > $o] :
                    ( ( ( !!
                        @ ^ [Y3: $i] : ( Y1 = Y2 ) )
                      & ( !!
                        @ ^ [Y3: $i] : ( Y0 = Y1 ) ) )
                   => ( !!
                      @ ^ [Y3: $i] : ( Y0 = Y2 ) ) ) ) ) )
    | ( ( ^ [Y0: $i] : $true )
      = ( ^ [Y0: $i] : $false ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl210]) ).

thf(zip_derived_cl212,plain,
    ( ~ ( !!
        @ ^ [Y0: $i > $o] :
            ( !!
            @ ^ [Y1: $i > $o] :
                ( ( ( !!
                    @ ^ [Y2: $i] : ( Y0 = Y1 ) )
                  & ( !!
                    @ ^ [Y2: $i] : ( '#sk4083' = Y0 ) ) )
               => ( !!
                  @ ^ [Y2: $i] : ( '#sk4083' = Y1 ) ) ) ) )
    | ( ( ^ [Y0: $i] : $true )
      = ( ^ [Y0: $i] : $false ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl211]) ).

thf(zip_derived_cl213,plain,
    ( ~ ( !!
        @ ^ [Y0: $i > $o] :
            ( ( ( !!
                @ ^ [Y1: $i] : ( '#sk4084' = Y0 ) )
              & ( !!
                @ ^ [Y1: $i] : ( '#sk4083' = '#sk4084' ) ) )
           => ( !!
              @ ^ [Y1: $i] : ( '#sk4083' = Y0 ) ) ) )
    | ( ( ^ [Y0: $i] : $true )
      = ( ^ [Y0: $i] : $false ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl212]) ).

thf(zip_derived_cl214,plain,
    ( ~ ( ( ( !!
            @ ^ [Y0: $i] : ( '#sk4084' = '#sk4085' ) )
          & ( !!
            @ ^ [Y0: $i] : ( '#sk4083' = '#sk4084' ) ) )
       => ( !!
          @ ^ [Y0: $i] : ( '#sk4083' = '#sk4085' ) ) )
    | ( ( ^ [Y0: $i] : $true )
      = ( ^ [Y0: $i] : $false ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl213]) ).

thf(zip_derived_cl215,plain,
    ( ( ( !!
        @ ^ [Y0: $i] : ( '#sk4084' = '#sk4085' ) )
      & ( !!
        @ ^ [Y0: $i] : ( '#sk4083' = '#sk4084' ) ) )
    | ( ( ^ [Y0: $i] : $true )
      = ( ^ [Y0: $i] : $false ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl214]) ).

thf(zip_derived_cl218,plain,
    ( ( !!
      @ ^ [Y0: $i] : ( '#sk4083' = '#sk4084' ) )
    | ( ( ^ [Y0: $i] : $true )
      = ( ^ [Y0: $i] : $false ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl215]) ).

thf(zip_derived_cl221,plain,
    ( ( '#sk4083' = '#sk4084' )
    | ( ( ^ [Y0: $i] : $true )
      = ( ^ [Y0: $i] : $false ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl218]) ).

thf(zip_derived_cl224,plain,
    ( ( '#sk4083' = '#sk4084' )
    | ( ( ^ [Y0: $i] : $true )
      = ( ^ [Y0: $i] : $false ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl221]) ).

thf(zip_derived_cl217,plain,
    ( ( !!
      @ ^ [Y0: $i] : ( '#sk4084' = '#sk4085' ) )
    | ( ( ^ [Y0: $i] : $true )
      = ( ^ [Y0: $i] : $false ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl215]) ).

thf(zip_derived_cl220,plain,
    ( ( '#sk4084' = '#sk4085' )
    | ( ( ^ [Y0: $i] : $true )
      = ( ^ [Y0: $i] : $false ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl217]) ).

thf(zip_derived_cl223,plain,
    ( ( '#sk4084' = '#sk4085' )
    | ( ( ^ [Y0: $i] : $true )
      = ( ^ [Y0: $i] : $false ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl220]) ).

thf(zip_derived_cl1359,plain,
    ! [X1: $i] :
      ( ( ( ^ [Y0: $i] : $true
          @ X1 )
        = ( ^ [Y0: $i] : $false
          @ X1 ) )
      | ( '#sk4084' = '#sk4085' ) ),
    inference(ho_complete_eq,[status(thm)],[zip_derived_cl223]) ).

thf(zip_derived_cl1360,plain,
    '#sk4084' = '#sk4085',
    inference(ho_norm,[status(thm)],[zip_derived_cl1359]) ).

thf(zip_derived_cl216,plain,
    ( ~ ( !!
        @ ^ [Y0: $i] : ( '#sk4083' = '#sk4085' ) )
    | ( ( ^ [Y0: $i] : $true )
      = ( ^ [Y0: $i] : $false ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl214]) ).

thf(zip_derived_cl219,plain,
    ( ( '#sk4083' != '#sk4085' )
    | ( ( ^ [Y0: $i] : $true )
      = ( ^ [Y0: $i] : $false ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl216]) ).

thf(zip_derived_cl222,plain,
    ( ( '#sk4083' != '#sk4085' )
    | ( ( ^ [Y0: $i] : $true )
      = ( ^ [Y0: $i] : $false ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl219]) ).

thf(zip_derived_cl1354,plain,
    ! [X1: $i] :
      ( ( ( ^ [Y0: $i] : $true
          @ X1 )
        = ( ^ [Y0: $i] : $false
          @ X1 ) )
      | ( '#sk4083' != '#sk4085' ) ),
    inference(ho_complete_eq,[status(thm)],[zip_derived_cl222]) ).

thf(zip_derived_cl1355,plain,
    '#sk4083' != '#sk4085',
    inference(ho_norm,[status(thm)],[zip_derived_cl1354]) ).

thf(zip_derived_cl1361,plain,
    '#sk4083' != '#sk4084',
    inference('sup-',[status(thm)],[zip_derived_cl1360,zip_derived_cl1355]) ).

thf(zip_derived_cl1367,plain,
    ( ( ^ [Y0: $i] : $true )
    = ( ^ [Y0: $i] : $false ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl224,zip_derived_cl1361]) ).

thf(zip_derived_cl1368,plain,
    ! [X1: $i] :
      ( ( ^ [Y0: $i] : $true
        @ X1 )
      = ( ^ [Y0: $i] : $false
        @ X1 ) ),
    inference(ho_complete_eq,[status(thm)],[zip_derived_cl1367]) ).

thf(zip_derived_cl1369,plain,
    $false,
    inference(ho_norm,[status(thm)],[zip_derived_cl1368]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SEV100^5 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.blXE37yykw true
% 0.13/0.34  % Computer : n014.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 03:47:34 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
% 0.13/0.35  % 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
% 0.21/0.71  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.76  % /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
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.82  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 68.47/9.38  % Solved by lams/30_sp5.sh.
% 68.47/9.38  % done 13 iterations in 8.512s
% 68.47/9.38  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 68.47/9.38  % SZS output start Refutation
% See solution above
% 68.47/9.39  
% 68.47/9.39  
% 68.47/9.39  % Terminating...
% 69.17/9.49  % Runner terminated.
% 69.17/9.51  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------