TSTP Solution File: SEV186^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV186^5 : 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.PsLgW0heFy true

% Computer : n008.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 19:59:55 EDT 2023

% Result   : Theorem 1.50s 0.95s
% Output   : Refutation 1.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   67 (   6 unt;   8 typ;   0 def)
%            Number of atoms       :  284 (   0 equ;   0 cnn)
%            Maximal formula atoms :   16 (   4 avg)
%            Number of connectives :  755 (  40   ~;  32   |;  26   &; 416   @)
%                                         (   0 <=>; 133  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   8 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :  124 ( 124   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   7 usr;   4 con; 0-2 aty)
%                                         ( 108  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  172 ( 108   ^;  64   !;   0   ?; 172   :)

% Comments : 
%------------------------------------------------------------------------------
thf(b_type,type,
    b: $tType ).

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

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

thf('#sk7_type',type,
    '#sk7': b > $o ).

thf('#sk16_type',type,
    '#sk16': b ).

thf('#sk39_type',type,
    '#sk39': ( b > $o ) > ( b > $o ) > b ).

thf('#sk31_type',type,
    '#sk31': b > $o ).

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

thf(cTHM565_pme,conjecture,
    ! [P: ( b > $o ) > ( b > $o ) > $o,S: ( b > $o ) > $o] :
      ( ! [Xx: b > $o] :
          ( ( S @ Xx )
         => ! [X: b > $o,Y: b > $o] :
              ( ( ( P @ X @ Y )
                & ! [Xx0: b] :
                    ( ( X @ Xx0 )
                   => ( Xx @ Xx0 ) ) )
             => ! [Xx0: b] :
                  ( ( Y @ Xx0 )
                 => ( Xx @ Xx0 ) ) ) )
     => ! [X: b > $o,Y: b > $o] :
          ( ( ( P @ X @ Y )
            & ! [Xx: b] :
                ( ( X @ Xx )
               => ! [S0: b > $o] :
                    ( ( S @ S0 )
                   => ( S0 @ Xx ) ) ) )
         => ! [Xx: b] :
              ( ( Y @ Xx )
             => ! [S0: b > $o] :
                  ( ( S @ S0 )
                 => ( S0 @ Xx ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [P: ( b > $o ) > ( b > $o ) > $o,S: ( b > $o ) > $o] :
        ( ! [Xx: b > $o] :
            ( ( S @ Xx )
           => ! [X: b > $o,Y: b > $o] :
                ( ( ( P @ X @ Y )
                  & ! [Xx0: b] :
                      ( ( X @ Xx0 )
                     => ( Xx @ Xx0 ) ) )
               => ! [Xx0: b] :
                    ( ( Y @ Xx0 )
                   => ( Xx @ Xx0 ) ) ) )
       => ! [X: b > $o,Y: b > $o] :
            ( ( ( P @ X @ Y )
              & ! [Xx: b] :
                  ( ( X @ Xx )
                 => ! [S0: b > $o] :
                      ( ( S @ S0 )
                     => ( S0 @ Xx ) ) ) )
           => ! [Xx: b] :
                ( ( Y @ Xx )
               => ! [S0: b > $o] :
                    ( ( S @ S0 )
                   => ( S0 @ Xx ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM565_pme]) ).

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

thf(zip_derived_cl1,plain,
    ~ ( !!
      @ ^ [Y0: ( b > $o ) > $o] :
          ( ( !!
            @ ^ [Y1: b > $o] :
                ( ( Y0 @ Y1 )
               => ( !!
                  @ ^ [Y2: b > $o] :
                      ( !!
                      @ ^ [Y3: b > $o] :
                          ( ( ( '#sk1' @ Y2 @ Y3 )
                            & ( !!
                              @ ^ [Y4: b] :
                                  ( ( Y2 @ Y4 )
                                 => ( Y1 @ Y4 ) ) ) )
                         => ( !!
                            @ ^ [Y4: b] :
                                ( ( Y3 @ Y4 )
                               => ( Y1 @ Y4 ) ) ) ) ) ) ) )
         => ( !!
            @ ^ [Y1: b > $o] :
                ( !!
                @ ^ [Y2: b > $o] :
                    ( ( ( '#sk1' @ Y1 @ Y2 )
                      & ( !!
                        @ ^ [Y3: b] :
                            ( ( Y1 @ Y3 )
                           => ( !!
                              @ ^ [Y4: b > $o] :
                                  ( ( Y0 @ Y4 )
                                 => ( Y4 @ Y3 ) ) ) ) ) )
                   => ( !!
                      @ ^ [Y3: b] :
                          ( ( Y2 @ Y3 )
                         => ( !!
                            @ ^ [Y4: b > $o] :
                                ( ( Y0 @ Y4 )
                               => ( Y4 @ Y3 ) ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ~ ( ( !!
        @ ^ [Y0: b > $o] :
            ( ( '#sk2' @ Y0 )
           => ( !!
              @ ^ [Y1: b > $o] :
                  ( !!
                  @ ^ [Y2: b > $o] :
                      ( ( ( '#sk1' @ Y1 @ Y2 )
                        & ( !!
                          @ ^ [Y3: b] :
                              ( ( Y1 @ Y3 )
                             => ( Y0 @ Y3 ) ) ) )
                     => ( !!
                        @ ^ [Y3: b] :
                            ( ( Y2 @ Y3 )
                           => ( Y0 @ Y3 ) ) ) ) ) ) ) )
     => ( !!
        @ ^ [Y0: b > $o] :
            ( !!
            @ ^ [Y1: b > $o] :
                ( ( ( '#sk1' @ Y0 @ Y1 )
                  & ( !!
                    @ ^ [Y2: b] :
                        ( ( Y0 @ Y2 )
                       => ( !!
                          @ ^ [Y3: b > $o] :
                              ( ( '#sk2' @ Y3 )
                             => ( Y3 @ Y2 ) ) ) ) ) )
               => ( !!
                  @ ^ [Y2: b] :
                      ( ( Y1 @ Y2 )
                     => ( !!
                        @ ^ [Y3: b > $o] :
                            ( ( '#sk2' @ Y3 )
                           => ( Y3 @ Y2 ) ) ) ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl4,plain,
    ~ ( !!
      @ ^ [Y0: b > $o] :
          ( !!
          @ ^ [Y1: b > $o] :
              ( ( ( '#sk1' @ Y0 @ Y1 )
                & ( !!
                  @ ^ [Y2: b] :
                      ( ( Y0 @ Y2 )
                     => ( !!
                        @ ^ [Y3: b > $o] :
                            ( ( '#sk2' @ Y3 )
                           => ( Y3 @ Y2 ) ) ) ) ) )
             => ( !!
                @ ^ [Y2: b] :
                    ( ( Y1 @ Y2 )
                   => ( !!
                      @ ^ [Y3: b > $o] :
                          ( ( '#sk2' @ Y3 )
                         => ( Y3 @ Y2 ) ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl7,plain,
    ~ ( !!
      @ ^ [Y0: b > $o] :
          ( ( ( '#sk1' @ '#sk3' @ Y0 )
            & ( !!
              @ ^ [Y1: b] :
                  ( ( '#sk3' @ Y1 )
                 => ( !!
                    @ ^ [Y2: b > $o] :
                        ( ( '#sk2' @ Y2 )
                       => ( Y2 @ Y1 ) ) ) ) ) )
         => ( !!
            @ ^ [Y1: b] :
                ( ( Y0 @ Y1 )
               => ( !!
                  @ ^ [Y2: b > $o] :
                      ( ( '#sk2' @ Y2 )
                     => ( Y2 @ Y1 ) ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl10,plain,
    ~ ( ( ( '#sk1' @ '#sk3' @ '#sk7' )
        & ( !!
          @ ^ [Y0: b] :
              ( ( '#sk3' @ Y0 )
             => ( !!
                @ ^ [Y1: b > $o] :
                    ( ( '#sk2' @ Y1 )
                   => ( Y1 @ Y0 ) ) ) ) ) )
     => ( !!
        @ ^ [Y0: b] :
            ( ( '#sk7' @ Y0 )
           => ( !!
              @ ^ [Y1: b > $o] :
                  ( ( '#sk2' @ Y1 )
                 => ( Y1 @ Y0 ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl15,plain,
    ~ ( !!
      @ ^ [Y0: b] :
          ( ( '#sk7' @ Y0 )
         => ( !!
            @ ^ [Y1: b > $o] :
                ( ( '#sk2' @ Y1 )
               => ( Y1 @ Y0 ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl21,plain,
    ~ ( ( '#sk7' @ '#sk16' )
     => ( !!
        @ ^ [Y0: b > $o] :
            ( ( '#sk2' @ Y0 )
           => ( Y0 @ '#sk16' ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl25,plain,
    ~ ( !!
      @ ^ [Y0: b > $o] :
          ( ( '#sk2' @ Y0 )
         => ( Y0 @ '#sk16' ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl21]) ).

thf(zip_derived_cl31,plain,
    ~ ( ( '#sk2' @ '#sk31' )
     => ( '#sk31' @ '#sk16' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl25]) ).

thf(zip_derived_cl38,plain,
    ~ ( '#sk31' @ '#sk16' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl31]) ).

thf(zip_derived_cl24,plain,
    '#sk7' @ '#sk16',
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl21]) ).

thf(zip_derived_cl14,plain,
    ( ( '#sk1' @ '#sk3' @ '#sk7' )
    & ( !!
      @ ^ [Y0: b] :
          ( ( '#sk3' @ Y0 )
         => ( !!
            @ ^ [Y1: b > $o] :
                ( ( '#sk2' @ Y1 )
               => ( Y1 @ Y0 ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl19,plain,
    '#sk1' @ '#sk3' @ '#sk7',
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl3,plain,
    ( !!
    @ ^ [Y0: b > $o] :
        ( ( '#sk2' @ Y0 )
       => ( !!
          @ ^ [Y1: b > $o] :
              ( !!
              @ ^ [Y2: b > $o] :
                  ( ( ( '#sk1' @ Y1 @ Y2 )
                    & ( !!
                      @ ^ [Y3: b] :
                          ( ( Y1 @ Y3 )
                         => ( Y0 @ Y3 ) ) ) )
                 => ( !!
                    @ ^ [Y3: b] :
                        ( ( Y2 @ Y3 )
                       => ( Y0 @ Y3 ) ) ) ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl5,plain,
    ! [X2: b > $o] :
      ( ( '#sk2' @ X2 )
     => ( !!
        @ ^ [Y0: b > $o] :
            ( !!
            @ ^ [Y1: b > $o] :
                ( ( ( '#sk1' @ Y0 @ Y1 )
                  & ( !!
                    @ ^ [Y2: b] :
                        ( ( Y0 @ Y2 )
                       => ( X2 @ Y2 ) ) ) )
               => ( !!
                  @ ^ [Y2: b] :
                      ( ( Y1 @ Y2 )
                     => ( X2 @ Y2 ) ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl30,plain,
    ( ( '#sk2' @ '#sk31' )
   => ( !!
      @ ^ [Y0: b > $o] :
          ( !!
          @ ^ [Y1: b > $o] :
              ( ( ( '#sk1' @ Y0 @ Y1 )
                & ( !!
                  @ ^ [Y2: b] :
                      ( ( Y0 @ Y2 )
                     => ( '#sk31' @ Y2 ) ) ) )
             => ( !!
                @ ^ [Y2: b] :
                    ( ( Y1 @ Y2 )
                   => ( '#sk31' @ Y2 ) ) ) ) ) ) ),
    inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl37,plain,
    '#sk2' @ '#sk31',
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl31]) ).

thf(zip_derived_cl117,plain,
    ( $true
   => ( !!
      @ ^ [Y0: b > $o] :
          ( !!
          @ ^ [Y1: b > $o] :
              ( ( ( '#sk1' @ Y0 @ Y1 )
                & ( !!
                  @ ^ [Y2: b] :
                      ( ( Y0 @ Y2 )
                     => ( '#sk31' @ Y2 ) ) ) )
             => ( !!
                @ ^ [Y2: b] :
                    ( ( Y1 @ Y2 )
                   => ( '#sk31' @ Y2 ) ) ) ) ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl30,zip_derived_cl37]) ).

thf(zip_derived_cl118,plain,
    ( !!
    @ ^ [Y0: b > $o] :
        ( !!
        @ ^ [Y1: b > $o] :
            ( ( ( '#sk1' @ Y0 @ Y1 )
              & ( !!
                @ ^ [Y2: b] :
                    ( ( Y0 @ Y2 )
                   => ( '#sk31' @ Y2 ) ) ) )
           => ( !!
              @ ^ [Y2: b] :
                  ( ( Y1 @ Y2 )
                 => ( '#sk31' @ Y2 ) ) ) ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl117]) ).

thf(zip_derived_cl119,plain,
    ! [X2: b > $o] :
      ( !!
      @ ^ [Y0: b > $o] :
          ( ( ( '#sk1' @ X2 @ Y0 )
            & ( !!
              @ ^ [Y1: b] :
                  ( ( X2 @ Y1 )
                 => ( '#sk31' @ Y1 ) ) ) )
         => ( !!
            @ ^ [Y1: b] :
                ( ( Y0 @ Y1 )
               => ( '#sk31' @ Y1 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl118]) ).

thf(zip_derived_cl122,plain,
    ( !!
    @ ^ [Y0: b > $o] :
        ( ( ( '#sk1' @ '#sk3' @ Y0 )
          & ( !!
            @ ^ [Y1: b] :
                ( ( '#sk3' @ Y1 )
               => ( '#sk31' @ Y1 ) ) ) )
       => ( !!
          @ ^ [Y1: b] :
              ( ( Y0 @ Y1 )
             => ( '#sk31' @ Y1 ) ) ) ) ),
    inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl119]) ).

thf(zip_derived_cl277,plain,
    ! [X2: b > $o] :
      ( ( ( '#sk1' @ '#sk3' @ X2 )
        & ( !!
          @ ^ [Y0: b] :
              ( ( '#sk3' @ Y0 )
             => ( '#sk31' @ Y0 ) ) ) )
     => ( !!
        @ ^ [Y0: b] :
            ( ( X2 @ Y0 )
           => ( '#sk31' @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl122]) ).

thf(zip_derived_cl281,plain,
    ! [X2: b > $o] :
      ( ~ ( ( '#sk1' @ '#sk3' @ X2 )
          & ( !!
            @ ^ [Y0: b] :
                ( ( '#sk3' @ Y0 )
               => ( '#sk31' @ Y0 ) ) ) )
      | ( !!
        @ ^ [Y0: b] :
            ( ( X2 @ Y0 )
           => ( '#sk31' @ Y0 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl277]) ).

thf(zip_derived_cl282,plain,
    ! [X2: b > $o] :
      ( ~ ( '#sk1' @ '#sk3' @ X2 )
      | ~ ( !!
          @ ^ [Y0: b] :
              ( ( '#sk3' @ Y0 )
             => ( '#sk31' @ Y0 ) ) )
      | ( !!
        @ ^ [Y0: b] :
            ( ( X2 @ Y0 )
           => ( '#sk31' @ Y0 ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl281]) ).

thf(zip_derived_cl283,plain,
    ! [X2: b > $o] :
      ( ~ ( ( '#sk3' @ ( '#sk39' @ '#sk31' @ '#sk3' ) )
         => ( '#sk31' @ ( '#sk39' @ '#sk31' @ '#sk3' ) ) )
      | ( !!
        @ ^ [Y0: b] :
            ( ( X2 @ Y0 )
           => ( '#sk31' @ Y0 ) ) )
      | ~ ( '#sk1' @ '#sk3' @ X2 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl282]) ).

thf(zip_derived_cl24_001,plain,
    '#sk7' @ '#sk16',
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl21]) ).

thf(zip_derived_cl19_002,plain,
    '#sk1' @ '#sk3' @ '#sk7',
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl119_003,plain,
    ! [X2: b > $o] :
      ( !!
      @ ^ [Y0: b > $o] :
          ( ( ( '#sk1' @ X2 @ Y0 )
            & ( !!
              @ ^ [Y1: b] :
                  ( ( X2 @ Y1 )
                 => ( '#sk31' @ Y1 ) ) ) )
         => ( !!
            @ ^ [Y1: b] :
                ( ( Y0 @ Y1 )
               => ( '#sk31' @ Y1 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl118]) ).

thf(zip_derived_cl123,plain,
    ! [X2: b > $o,X4: b > $o] :
      ( ( ( '#sk1' @ X2 @ X4 )
        & ( !!
          @ ^ [Y0: b] :
              ( ( X2 @ Y0 )
             => ( '#sk31' @ Y0 ) ) ) )
     => ( !!
        @ ^ [Y0: b] :
            ( ( X4 @ Y0 )
           => ( '#sk31' @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl119]) ).

thf(zip_derived_cl127,plain,
    ! [X2: b > $o,X4: b > $o] :
      ( ~ ( ( '#sk1' @ X2 @ X4 )
          & ( !!
            @ ^ [Y0: b] :
                ( ( X2 @ Y0 )
               => ( '#sk31' @ Y0 ) ) ) )
      | ( !!
        @ ^ [Y0: b] :
            ( ( X4 @ Y0 )
           => ( '#sk31' @ Y0 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl123]) ).

thf(zip_derived_cl128,plain,
    ! [X2: b > $o,X4: b > $o] :
      ( ~ ( '#sk1' @ X2 @ X4 )
      | ~ ( !!
          @ ^ [Y0: b] :
              ( ( X2 @ Y0 )
             => ( '#sk31' @ Y0 ) ) )
      | ( !!
        @ ^ [Y0: b] :
            ( ( X4 @ Y0 )
           => ( '#sk31' @ Y0 ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl127]) ).

thf(zip_derived_cl129,plain,
    ! [X2: b > $o,X4: b > $o] :
      ( ~ ( ( X2 @ ( '#sk39' @ '#sk31' @ X2 ) )
         => ( '#sk31' @ ( '#sk39' @ '#sk31' @ X2 ) ) )
      | ( !!
        @ ^ [Y0: b] :
            ( ( X4 @ Y0 )
           => ( '#sk31' @ Y0 ) ) )
      | ~ ( '#sk1' @ X2 @ X4 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl128]) ).

thf(zip_derived_cl130,plain,
    ! [X2: b > $o,X4: b > $o] :
      ( ( X2 @ ( '#sk39' @ '#sk31' @ X2 ) )
      | ~ ( '#sk1' @ X2 @ X4 )
      | ( !!
        @ ^ [Y0: b] :
            ( ( X4 @ Y0 )
           => ( '#sk31' @ Y0 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl129]) ).

thf(zip_derived_cl132,plain,
    ! [X2: b > $o,X4: b > $o,X6: b] :
      ( ( ( X4 @ X6 )
       => ( '#sk31' @ X6 ) )
      | ~ ( '#sk1' @ X2 @ X4 )
      | ( X2 @ ( '#sk39' @ '#sk31' @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl130]) ).

thf(zip_derived_cl134,plain,
    ! [X2: b > $o,X4: b > $o,X6: b] :
      ( ~ ( X4 @ X6 )
      | ( '#sk31' @ X6 )
      | ( X2 @ ( '#sk39' @ '#sk31' @ X2 ) )
      | ~ ( '#sk1' @ X2 @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl132]) ).

thf(zip_derived_cl136,plain,
    ! [X0: b] :
      ( ( '#sk3' @ ( '#sk39' @ '#sk31' @ '#sk3' ) )
      | ( '#sk31' @ X0 )
      | ~ ( '#sk7' @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl134]) ).

thf(zip_derived_cl196,plain,
    ( ( '#sk31' @ '#sk16' )
    | ( '#sk3' @ ( '#sk39' @ '#sk31' @ '#sk3' ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl136]) ).

thf(zip_derived_cl38_004,plain,
    ~ ( '#sk31' @ '#sk16' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl31]) ).

thf(zip_derived_cl198,plain,
    '#sk3' @ ( '#sk39' @ '#sk31' @ '#sk3' ),
    inference(demod,[status(thm)],[zip_derived_cl196,zip_derived_cl38]) ).

thf(zip_derived_cl198_005,plain,
    '#sk3' @ ( '#sk39' @ '#sk31' @ '#sk3' ),
    inference(demod,[status(thm)],[zip_derived_cl196,zip_derived_cl38]) ).

thf(zip_derived_cl20,plain,
    ( !!
    @ ^ [Y0: b] :
        ( ( '#sk3' @ Y0 )
       => ( !!
          @ ^ [Y1: b > $o] :
              ( ( '#sk2' @ Y1 )
             => ( Y1 @ Y0 ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl23,plain,
    ! [X2: b] :
      ( ( '#sk3' @ X2 )
     => ( !!
        @ ^ [Y0: b > $o] :
            ( ( '#sk2' @ Y0 )
           => ( Y0 @ X2 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl20]) ).

thf(zip_derived_cl27,plain,
    ! [X2: b] :
      ( ~ ( '#sk3' @ X2 )
      | ( !!
        @ ^ [Y0: b > $o] :
            ( ( '#sk2' @ Y0 )
           => ( Y0 @ X2 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl33,plain,
    ! [X2: b,X4: b > $o] :
      ( ( ( '#sk2' @ X4 )
       => ( X4 @ X2 ) )
      | ~ ( '#sk3' @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl27]) ).

thf(zip_derived_cl34,plain,
    ! [X0: b] :
      ( ( ( '#sk2' @ '#sk31' )
       => ( '#sk31' @ X0 ) )
      | ~ ( '#sk3' @ X0 ) ),
    inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl33]) ).

thf(zip_derived_cl37_006,plain,
    '#sk2' @ '#sk31',
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl31]) ).

thf(zip_derived_cl46,plain,
    ! [X0: b] :
      ( ( $true
       => ( '#sk31' @ X0 ) )
      | ~ ( '#sk3' @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl34,zip_derived_cl37]) ).

thf(zip_derived_cl47,plain,
    ! [X0: b] :
      ( ( '#sk31' @ X0 )
      | ~ ( '#sk3' @ X0 ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl46]) ).

thf(zip_derived_cl200,plain,
    '#sk31' @ ( '#sk39' @ '#sk31' @ '#sk3' ),
    inference('sup-',[status(thm)],[zip_derived_cl198,zip_derived_cl47]) ).

thf(zip_derived_cl284,plain,
    ! [X2: b > $o] :
      ( ~ ( $true
         => $true )
      | ( !!
        @ ^ [Y0: b] :
            ( ( X2 @ Y0 )
           => ( '#sk31' @ Y0 ) ) )
      | ~ ( '#sk1' @ '#sk3' @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl283,zip_derived_cl198,zip_derived_cl200]) ).

thf(zip_derived_cl285,plain,
    ! [X2: b > $o] :
      ( ( !!
        @ ^ [Y0: b] :
            ( ( X2 @ Y0 )
           => ( '#sk31' @ Y0 ) ) )
      | ~ ( '#sk1' @ '#sk3' @ X2 ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl284]) ).

thf(zip_derived_cl286,plain,
    ! [X2: b > $o,X4: b] :
      ( ( ( X2 @ X4 )
       => ( '#sk31' @ X4 ) )
      | ~ ( '#sk1' @ '#sk3' @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl285]) ).

thf(zip_derived_cl287,plain,
    ! [X2: b > $o,X4: b] :
      ( ~ ( X2 @ X4 )
      | ( '#sk31' @ X4 )
      | ~ ( '#sk1' @ '#sk3' @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl286]) ).

thf(zip_derived_cl288,plain,
    ! [X0: b] :
      ( ( '#sk31' @ X0 )
      | ~ ( '#sk7' @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl287]) ).

thf(zip_derived_cl290,plain,
    '#sk31' @ '#sk16',
    inference('sup-',[status(thm)],[zip_derived_cl24,zip_derived_cl288]) ).

thf(zip_derived_cl292,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl38,zip_derived_cl290]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEV186^5 : 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.PsLgW0heFy true
% 0.15/0.35  % Computer : n008.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Thu Aug 24 03:08:33 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.35  % Number of cores: 8
% 0.15/0.35  % Python version: Python 3.6.8
% 0.15/0.36  % Running in HO mode
% 0.22/0.67  % Total configuration time : 828
% 0.22/0.67  % Estimated wc time : 1656
% 0.22/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.37/0.79  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.37/0.79  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.37/0.79  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.37/0.80  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.50/0.95  % Solved by lams/35_full_unif4.sh.
% 1.50/0.95  % done 37 iterations in 0.160s
% 1.50/0.95  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.50/0.95  % SZS output start Refutation
% See solution above
% 1.50/0.95  
% 1.50/0.95  
% 1.50/0.95  % Terminating...
% 1.80/1.07  % Runner terminated.
% 1.80/1.08  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------