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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEV136^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TXq8i93xvx true

% Computer : n027.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 Oct  2 04:57:14 PM UTC 2025

% Result   : Theorem 4.49s 1.23s
% Output   : Refutation 4.49s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   41 (   5 unt;   0 typ;   0 def)
%            Number of atoms       :  217 (   0 equ;   0 cnn)
%            Maximal formula atoms :   25 (   5 avg)
%            Number of connectives :  700 (  28   ~;  29   |;  37   &; 462   @)
%                                         (   0 <=>;  72  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   23 (  10 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   46 (  46   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   4 con; 0-3 aty)
%                                         (  72  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  135 (  72   ^;  63   !;   0   ?; 135   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a_type,type,
    a: $tType ).

thf('#sk9_type',type,
    '#sk9': ( a > $o ) > a ).

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

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

thf('#sk4_type',type,
    '#sk4': a ).

thf('#sk13_type',type,
    '#sk13': ( a > $o ) > a ).

thf('#sk3_type',type,
    '#sk3': a ).

thf(cTHM203_pme,conjecture,
    ! [Xr: a > a > $o,T: ( a > a > $o ) > a > a > $o] :
      ( ( ! [Xx: a,Xy: a] :
            ( ( Xr @ Xx @ Xy )
           => ( T @ Xr @ Xx @ Xy ) )
        & ! [Xx: a,Xy: a,Xz: a] :
            ( ( ( T @ Xr @ Xy @ Xz )
              & ( T @ Xr @ Xx @ Xy ) )
           => ( T @ Xr @ Xx @ Xz ) )
        & ! [Xx: a] : ( T @ Xr @ Xx @ Xx ) )
     => ! [Xx: a,Xy: a] :
          ( ! [Xx0: a > $o] :
              ( ! [Xy0: a,Xz: a] :
                  ( ( ( Xx0 @ Xy0 )
                    & ( Xr @ Xy0 @ Xz ) )
                 => ( Xx0 @ Xz ) )
             => ( ( Xx0 @ Xx )
               => ( Xx0 @ Xy ) ) )
         => ( T @ Xr @ Xx @ Xy ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [Xr: a > a > $o,T: ( a > a > $o ) > a > a > $o] :
        ( ( ! [Xx: a,Xy: a] :
              ( ( Xr @ Xx @ Xy )
             => ( T @ Xr @ Xx @ Xy ) )
          & ! [Xx: a,Xy: a,Xz: a] :
              ( ( ( T @ Xr @ Xy @ Xz )
                & ( T @ Xr @ Xx @ Xy ) )
             => ( T @ Xr @ Xx @ Xz ) )
          & ! [Xx: a] : ( T @ Xr @ Xx @ Xx ) )
       => ! [Xx: a,Xy: a] :
            ( ! [Xx0: a > $o] :
                ( ! [Xy0: a,Xz: a] :
                    ( ( ( Xx0 @ Xy0 )
                      & ( Xr @ Xy0 @ Xz ) )
                   => ( Xx0 @ Xz ) )
               => ( ( Xx0 @ Xx )
                 => ( Xx0 @ Xy ) ) )
           => ( T @ Xr @ Xx @ Xy ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM203_pme]) ).

thf(zip_derived_cl0,plain,
    ~ ( !!
      @ ^ [Y0: a > a > $o] :
          ( !!
          @ ^ [Y1: ( a > a > $o ) > a > a > $o] :
              ( ( ( !!
                  @ ^ [Y2: a] :
                      ( !!
                      @ ^ [Y3: a] :
                          ( ( Y0 @ Y2 @ Y3 )
                         => ( Y1 @ Y0 @ Y2 @ Y3 ) ) ) )
                & ( !!
                  @ ^ [Y2: a] :
                      ( !!
                      @ ^ [Y3: a] :
                          ( !!
                          @ ^ [Y4: a] :
                              ( ( ( Y1 @ Y0 @ Y3 @ Y4 )
                                & ( Y1 @ Y0 @ Y2 @ Y3 ) )
                             => ( Y1 @ Y0 @ Y2 @ Y4 ) ) ) ) )
                & ( !!
                  @ ^ [Y2: a] : ( Y1 @ Y0 @ Y2 @ Y2 ) ) )
             => ( !!
                @ ^ [Y2: a] :
                    ( !!
                    @ ^ [Y3: a] :
                        ( ( !!
                          @ ^ [Y4: a > $o] :
                              ( ( !!
                                @ ^ [Y5: a] :
                                    ( !!
                                    @ ^ [Y6: a] :
                                        ( ( ( Y4 @ Y5 )
                                          & ( Y0 @ Y5 @ Y6 ) )
                                       => ( Y4 @ Y6 ) ) ) )
                             => ( ( Y4 @ Y2 )
                               => ( Y4 @ Y3 ) ) ) )
                       => ( Y1 @ Y0 @ Y2 @ Y3 ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ~ ( !!
      @ ^ [Y0: ( a > a > $o ) > a > a > $o] :
          ( ( ( !!
              @ ^ [Y1: a] :
                  ( !!
                  @ ^ [Y2: a] :
                      ( ( '#sk1' @ Y1 @ Y2 )
                     => ( Y0 @ '#sk1' @ Y1 @ Y2 ) ) ) )
            & ( !!
              @ ^ [Y1: a] :
                  ( !!
                  @ ^ [Y2: a] :
                      ( !!
                      @ ^ [Y3: a] :
                          ( ( ( Y0 @ '#sk1' @ Y2 @ Y3 )
                            & ( Y0 @ '#sk1' @ Y1 @ Y2 ) )
                         => ( Y0 @ '#sk1' @ Y1 @ Y3 ) ) ) ) )
            & ( !!
              @ ^ [Y1: a] : ( Y0 @ '#sk1' @ Y1 @ Y1 ) ) )
         => ( !!
            @ ^ [Y1: a] :
                ( !!
                @ ^ [Y2: a] :
                    ( ( !!
                      @ ^ [Y3: a > $o] :
                          ( ( !!
                            @ ^ [Y4: a] :
                                ( !!
                                @ ^ [Y5: a] :
                                    ( ( ( Y3 @ Y4 )
                                      & ( '#sk1' @ Y4 @ Y5 ) )
                                   => ( Y3 @ Y5 ) ) ) )
                         => ( ( Y3 @ Y1 )
                           => ( Y3 @ Y2 ) ) ) )
                   => ( Y0 @ '#sk1' @ Y1 @ Y2 ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ~ ( ( ( !!
          @ ^ [Y0: a] :
              ( !!
              @ ^ [Y1: a] :
                  ( ( '#sk1' @ Y0 @ Y1 )
                 => ( '#sk2' @ '#sk1' @ Y0 @ Y1 ) ) ) )
        & ( !!
          @ ^ [Y0: a] :
              ( !!
              @ ^ [Y1: a] :
                  ( !!
                  @ ^ [Y2: a] :
                      ( ( ( '#sk2' @ '#sk1' @ Y1 @ Y2 )
                        & ( '#sk2' @ '#sk1' @ Y0 @ Y1 ) )
                     => ( '#sk2' @ '#sk1' @ Y0 @ Y2 ) ) ) ) )
        & ( !!
          @ ^ [Y0: a] : ( '#sk2' @ '#sk1' @ Y0 @ Y0 ) ) )
     => ( !!
        @ ^ [Y0: a] :
            ( !!
            @ ^ [Y1: a] :
                ( ( !!
                  @ ^ [Y2: a > $o] :
                      ( ( !!
                        @ ^ [Y3: a] :
                            ( !!
                            @ ^ [Y4: a] :
                                ( ( ( Y2 @ Y3 )
                                  & ( '#sk1' @ Y3 @ Y4 ) )
                               => ( Y2 @ Y4 ) ) ) )
                     => ( ( Y2 @ Y0 )
                       => ( Y2 @ Y1 ) ) ) )
               => ( '#sk2' @ '#sk1' @ Y0 @ Y1 ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl4,plain,
    ~ ( !!
      @ ^ [Y0: a] :
          ( !!
          @ ^ [Y1: a] :
              ( ( !!
                @ ^ [Y2: a > $o] :
                    ( ( !!
                      @ ^ [Y3: a] :
                          ( !!
                          @ ^ [Y4: a] :
                              ( ( ( Y2 @ Y3 )
                                & ( '#sk1' @ Y3 @ Y4 ) )
                             => ( Y2 @ Y4 ) ) ) )
                   => ( ( Y2 @ Y0 )
                     => ( Y2 @ Y1 ) ) ) )
             => ( '#sk2' @ '#sk1' @ Y0 @ Y1 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl8,plain,
    ~ ( !!
      @ ^ [Y0: a] :
          ( ( !!
            @ ^ [Y1: a > $o] :
                ( ( !!
                  @ ^ [Y2: a] :
                      ( !!
                      @ ^ [Y3: a] :
                          ( ( ( Y1 @ Y2 )
                            & ( '#sk1' @ Y2 @ Y3 ) )
                         => ( Y1 @ Y3 ) ) ) )
               => ( ( Y1 @ '#sk3' )
                 => ( Y1 @ Y0 ) ) ) )
         => ( '#sk2' @ '#sk1' @ '#sk3' @ Y0 ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl12,plain,
    ~ ( ( !!
        @ ^ [Y0: a > $o] :
            ( ( !!
              @ ^ [Y1: a] :
                  ( !!
                  @ ^ [Y2: a] :
                      ( ( ( Y0 @ Y1 )
                        & ( '#sk1' @ Y1 @ Y2 ) )
                     => ( Y0 @ Y2 ) ) ) )
           => ( ( Y0 @ '#sk3' )
             => ( Y0 @ '#sk4' ) ) ) )
     => ( '#sk2' @ '#sk1' @ '#sk3' @ '#sk4' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl16,plain,
    ~ ( '#sk2' @ '#sk1' @ '#sk3' @ '#sk4' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl12]) ).

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

thf(zip_derived_cl7,plain,
    ( !!
    @ ^ [Y0: a] : ( '#sk2' @ '#sk1' @ Y0 @ Y0 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl11,plain,
    ! [X2: a] : ( '#sk2' @ '#sk1' @ X2 @ X2 ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl15,plain,
    ( !!
    @ ^ [Y0: a > $o] :
        ( ( !!
          @ ^ [Y1: a] :
              ( !!
              @ ^ [Y2: a] :
                  ( ( ( Y0 @ Y1 )
                    & ( '#sk1' @ Y1 @ Y2 ) )
                 => ( Y0 @ Y2 ) ) ) )
       => ( ( Y0 @ '#sk3' )
         => ( Y0 @ '#sk4' ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl19,plain,
    ! [X2: a > $o] :
      ( ( !!
        @ ^ [Y0: a] :
            ( !!
            @ ^ [Y1: a] :
                ( ( ( X2 @ Y0 )
                  & ( '#sk1' @ Y0 @ Y1 ) )
               => ( X2 @ Y1 ) ) ) )
     => ( ( X2 @ '#sk3' )
       => ( X2 @ '#sk4' ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl21,plain,
    ! [X2: a > $o] :
      ( ~ ( !!
          @ ^ [Y0: a] :
              ( !!
              @ ^ [Y1: a] :
                  ( ( ( X2 @ Y0 )
                    & ( '#sk1' @ Y0 @ Y1 ) )
                 => ( X2 @ Y1 ) ) ) )
      | ( ( X2 @ '#sk3' )
       => ( X2 @ '#sk4' ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl19]) ).

thf(zip_derived_cl23,plain,
    ! [X2: a > $o] :
      ( ~ ( !!
          @ ^ [Y0: a] :
              ( ( ( X2 @ ( '#sk9' @ X2 ) )
                & ( '#sk1' @ ( '#sk9' @ X2 ) @ Y0 ) )
             => ( X2 @ Y0 ) ) )
      | ( ( X2 @ '#sk3' )
       => ( X2 @ '#sk4' ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl21]) ).

thf(zip_derived_cl24,plain,
    ! [X2: a > $o] :
      ( ~ ( ( ( X2 @ ( '#sk9' @ X2 ) )
            & ( '#sk1' @ ( '#sk9' @ X2 ) @ ( '#sk13' @ X2 ) ) )
         => ( X2 @ ( '#sk13' @ X2 ) ) )
      | ( ( X2 @ '#sk3' )
       => ( X2 @ '#sk4' ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl23]) ).

thf(zip_derived_cl25,plain,
    ! [X2: a > $o] :
      ( ( ( X2 @ ( '#sk9' @ X2 ) )
        & ( '#sk1' @ ( '#sk9' @ X2 ) @ ( '#sk13' @ X2 ) ) )
      | ( ( X2 @ '#sk3' )
       => ( X2 @ '#sk4' ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl24]) ).

thf(zip_derived_cl28,plain,
    ! [X2: a > $o] :
      ( ( '#sk1' @ ( '#sk9' @ X2 ) @ ( '#sk13' @ X2 ) )
      | ( ( X2 @ '#sk3' )
       => ( X2 @ '#sk4' ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl25]) ).

thf(zip_derived_cl31,plain,
    ! [X2: a > $o] :
      ( ~ ( X2 @ '#sk3' )
      | ( X2 @ '#sk4' )
      | ( '#sk1' @ ( '#sk9' @ X2 ) @ ( '#sk13' @ X2 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl28]) ).

thf(zip_derived_cl27,plain,
    ! [X2: a > $o] :
      ( ( X2 @ ( '#sk9' @ X2 ) )
      | ( ( X2 @ '#sk3' )
       => ( X2 @ '#sk4' ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl25]) ).

thf(zip_derived_cl30,plain,
    ! [X2: a > $o] :
      ( ~ ( X2 @ '#sk3' )
      | ( X2 @ '#sk4' )
      | ( X2 @ ( '#sk9' @ X2 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl27]) ).

thf(zip_derived_cl5,plain,
    ( !!
    @ ^ [Y0: a] :
        ( !!
        @ ^ [Y1: a] :
            ( ( '#sk1' @ Y0 @ Y1 )
           => ( '#sk2' @ '#sk1' @ Y0 @ Y1 ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl9,plain,
    ! [X2: a] :
      ( !!
      @ ^ [Y0: a] :
          ( ( '#sk1' @ X2 @ Y0 )
         => ( '#sk2' @ '#sk1' @ X2 @ Y0 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl13,plain,
    ! [X2: a,X4: a] :
      ( ( '#sk1' @ X2 @ X4 )
     => ( '#sk2' @ '#sk1' @ X2 @ X4 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl17,plain,
    ! [X2: a,X4: a] :
      ( ~ ( '#sk1' @ X2 @ X4 )
      | ( '#sk2' @ '#sk1' @ X2 @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl6,plain,
    ( !!
    @ ^ [Y0: a] :
        ( !!
        @ ^ [Y1: a] :
            ( !!
            @ ^ [Y2: a] :
                ( ( ( '#sk2' @ '#sk1' @ Y1 @ Y2 )
                  & ( '#sk2' @ '#sk1' @ Y0 @ Y1 ) )
               => ( '#sk2' @ '#sk1' @ Y0 @ Y2 ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl10,plain,
    ! [X2: a] :
      ( !!
      @ ^ [Y0: a] :
          ( !!
          @ ^ [Y1: a] :
              ( ( ( '#sk2' @ '#sk1' @ Y0 @ Y1 )
                & ( '#sk2' @ '#sk1' @ X2 @ Y0 ) )
             => ( '#sk2' @ '#sk1' @ X2 @ Y1 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl14,plain,
    ! [X2: a,X4: a] :
      ( !!
      @ ^ [Y0: a] :
          ( ( ( '#sk2' @ '#sk1' @ X4 @ Y0 )
            & ( '#sk2' @ '#sk1' @ X2 @ X4 ) )
         => ( '#sk2' @ '#sk1' @ X2 @ Y0 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl18,plain,
    ! [X2: a,X4: a,X6: a] :
      ( ( ( '#sk2' @ '#sk1' @ X4 @ X6 )
        & ( '#sk2' @ '#sk1' @ X2 @ X4 ) )
     => ( '#sk2' @ '#sk1' @ X2 @ X6 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl20,plain,
    ! [X2: a,X4: a,X6: a] :
      ( ~ ( ( '#sk2' @ '#sk1' @ X4 @ X6 )
          & ( '#sk2' @ '#sk1' @ X2 @ X4 ) )
      | ( '#sk2' @ '#sk1' @ X2 @ X6 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl22,plain,
    ! [X2: a,X4: a,X6: a] :
      ( ~ ( '#sk2' @ '#sk1' @ X4 @ X6 )
      | ~ ( '#sk2' @ '#sk1' @ X2 @ X4 )
      | ( '#sk2' @ '#sk1' @ X2 @ X6 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl20]) ).

thf(zip_derived_cl130,plain,
    ! [X0: a,X1: a,X2: a] :
      ( ~ ( '#sk1' @ X1 @ X0 )
      | ( '#sk2' @ '#sk1' @ X2 @ X0 )
      | ~ ( '#sk2' @ '#sk1' @ X2 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl17,zip_derived_cl22]) ).

thf(zip_derived_cl156,plain,
    ! [X0: a,X1: a] :
      ( ( '#sk2' @ '#sk1' @ X0 @ '#sk4' )
      | ~ ( '#sk2' @ '#sk1' @ X0 @ '#sk3' )
      | ( '#sk2' @ '#sk1' @ X0 @ X1 )
      | ~ ( '#sk1' @ ( '#sk9' @ ( '#sk2' @ '#sk1' @ X0 ) ) @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl130]) ).

thf(zip_derived_cl742,plain,
    ! [X0: a] :
      ( ( '#sk2' @ '#sk1' @ X0 @ '#sk4' )
      | ~ ( '#sk2' @ '#sk1' @ X0 @ '#sk3' )
      | ( '#sk2' @ '#sk1' @ X0 @ ( '#sk13' @ ( '#sk2' @ '#sk1' @ X0 ) ) )
      | ~ ( '#sk2' @ '#sk1' @ X0 @ '#sk3' )
      | ( '#sk2' @ '#sk1' @ X0 @ '#sk4' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl31,zip_derived_cl156]) ).

thf(zip_derived_cl749,plain,
    ! [X0: a] :
      ( ( '#sk2' @ '#sk1' @ X0 @ ( '#sk13' @ ( '#sk2' @ '#sk1' @ X0 ) ) )
      | ~ ( '#sk2' @ '#sk1' @ X0 @ '#sk3' )
      | ( '#sk2' @ '#sk1' @ X0 @ '#sk4' ) ),
    inference(simplify,[status(thm)],[zip_derived_cl742]) ).

thf(zip_derived_cl26,plain,
    ! [X2: a > $o] :
      ( ~ ( X2 @ ( '#sk13' @ X2 ) )
      | ( ( X2 @ '#sk3' )
       => ( X2 @ '#sk4' ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl24]) ).

thf(zip_derived_cl29,plain,
    ! [X2: a > $o] :
      ( ~ ( X2 @ '#sk3' )
      | ( X2 @ '#sk4' )
      | ~ ( X2 @ ( '#sk13' @ X2 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl26]) ).

thf(zip_derived_cl758,plain,
    ! [X0: a] :
      ( ( '#sk2' @ '#sk1' @ X0 @ '#sk4' )
      | ~ ( '#sk2' @ '#sk1' @ X0 @ '#sk3' ) ),
    inference(clc,[status(thm)],[zip_derived_cl749,zip_derived_cl29]) ).

thf(zip_derived_cl760,plain,
    '#sk2' @ '#sk1' @ '#sk3' @ '#sk4',
    inference('sup-',[status(thm)],[zip_derived_cl11,zip_derived_cl758]) ).

thf(zip_derived_cl771,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl16,zip_derived_cl760]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12  % Problem  : SEV136^5 : TPTP v9.2.0. Released v4.0.0.
% 0.08/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.TXq8i93xvx true
% 0.14/0.34  % Computer : n027.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Wed Oct  1 15:36:53 EDT 2025
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in HO mode
% 0.55/0.66  % Total configuration time : 828
% 0.55/0.66  % Estimated wc time : 1656
% 0.55/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.56/0.72  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.77  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.78  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.78  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.78  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.56/0.78  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.56/0.78  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.57/0.83  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 0.57/0.95  % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 0.57/1.01  % /export/starexec/sandbox/solver/bin/lams/15_old_s4.sh running for 30s
% 4.49/1.23  % Solved by lams/35_full_unif4.sh.
% 4.49/1.23  % done 42 iterations in 0.459s
% 4.49/1.23  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.49/1.23  % SZS output start Refutation
% See solution above
% 4.49/1.23  
% 4.49/1.23  
% 4.49/1.23  % Terminating...
% 5.07/1.28  % Runner terminated.
% 5.07/1.29  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------