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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : PUZ113^5 : TPTP v9.2.0. Bugfixed v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.LFW6rgCZUT true

% Computer : n031.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 04:49:43 PM UTC 2025

% Result   : Theorem 0.61s 0.93s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   20
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   43 (   9 unt;   0 typ;   0 def)
%            Number of atoms       :  165 (   3 equ;   0 cnn)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  756 (  27   ~;  14   |;  49   &; 568   @)
%                                         (   0 <=>;  53  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   9 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   32 (  32   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (   8 usr;   6 con; 0-2 aty)
%                                         (  45  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   92 (  51   ^;  41   !;   0   ?;  92   :)

% Comments : 
%------------------------------------------------------------------------------
thf('#sk32_type',type,
    '#sk32': ( $i > $i > $o ) > $i ).

thf(c1_type,type,
    c1: $i ).

thf('#sk1_type',type,
    '#sk1': $i ).

thf(cCKB6_BLACK_type,type,
    cCKB6_BLACK: $i > $i > $o ).

thf('#sk22_type',type,
    '#sk22': ( $i > $i > $o ) > $i ).

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

thf(s_type,type,
    s: $i > $i ).

thf('#sk2_type',type,
    '#sk2': $i ).

thf(cCKB6_BLACK_def,axiom,
    ( cCKB6_BLACK
    = ( ^ [Xu: $i,Xv: $i] :
        ! [Xw: $i > $i > $o] :
          ( ( ( Xw @ c1 @ c1 )
            & ! [Xj: $i,Xk: $i] :
                ( ( Xw @ Xj @ Xk )
               => ( ( Xw @ ( s @ ( s @ Xj ) ) @ Xk )
                  & ( Xw @ ( s @ Xj ) @ ( s @ Xk ) ) ) ) )
         => ( Xw @ Xu @ Xv ) ) ) ) ).

thf('0',plain,
    ( cCKB6_BLACK
    = ( ^ [Xu: $i,Xv: $i] :
        ! [Xw: $i > $i > $o] :
          ( ( ( Xw @ c1 @ c1 )
            & ! [Xj: $i,Xk: $i] :
                ( ( Xw @ Xj @ Xk )
               => ( ( Xw @ ( s @ ( s @ Xj ) ) @ Xk )
                  & ( Xw @ ( s @ Xj ) @ ( s @ Xk ) ) ) ) )
         => ( Xw @ Xu @ Xv ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[cCKB6_BLACK_def]) ).

thf('1',plain,
    ( cCKB6_BLACK
    = ( ^ [V_1: $i,V_2: $i] :
        ! [X4: $i > $i > $o] :
          ( ( ( X4 @ c1 @ c1 )
            & ! [X6: $i,X8: $i] :
                ( ( X4 @ X6 @ X8 )
               => ( ( X4 @ ( s @ ( s @ X6 ) ) @ X8 )
                  & ( X4 @ ( s @ X6 ) @ ( s @ X8 ) ) ) ) )
         => ( X4 @ V_1 @ V_2 ) ) ) ),
    define([status(thm)]) ).

thf(cCKB6_L11000,conjecture,
    ! [Xj: $i,Xk: $i] :
      ( ( cCKB6_BLACK @ Xj @ Xk )
     => ( cCKB6_BLACK @ ( s @ ( s @ Xj ) ) @ ( s @ ( s @ Xk ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ! [X4: $i,X6: $i] :
      ( ! [X8: $i > $i > $o] :
          ( ( ! [X10: $i,X12: $i] :
                ( ( X8 @ X10 @ X12 )
               => ( ( X8 @ ( s @ X10 ) @ ( s @ X12 ) )
                  & ( X8 @ ( s @ ( s @ X10 ) ) @ X12 ) ) )
            & ( X8 @ c1 @ c1 ) )
         => ( X8 @ X4 @ X6 ) )
     => ! [X14: $i > $i > $o] :
          ( ( ! [X16: $i,X18: $i] :
                ( ( X14 @ X16 @ X18 )
               => ( ( X14 @ ( s @ X16 ) @ ( s @ X18 ) )
                  & ( X14 @ ( s @ ( s @ X16 ) ) @ X18 ) ) )
            & ( X14 @ c1 @ c1 ) )
         => ( X14 @ ( s @ ( s @ X4 ) ) @ ( s @ ( s @ X6 ) ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ! [X4: $i,X6: $i] :
        ( ! [X8: $i > $i > $o] :
            ( ( ! [X10: $i,X12: $i] :
                  ( ( X8 @ X10 @ X12 )
                 => ( ( X8 @ ( s @ X10 ) @ ( s @ X12 ) )
                    & ( X8 @ ( s @ ( s @ X10 ) ) @ X12 ) ) )
              & ( X8 @ c1 @ c1 ) )
           => ( X8 @ X4 @ X6 ) )
       => ! [X14: $i > $i > $o] :
            ( ( ! [X16: $i,X18: $i] :
                  ( ( X14 @ X16 @ X18 )
                 => ( ( X14 @ ( s @ X16 ) @ ( s @ X18 ) )
                    & ( X14 @ ( s @ ( s @ X16 ) ) @ X18 ) ) )
              & ( X14 @ c1 @ c1 ) )
           => ( X14 @ ( s @ ( s @ X4 ) ) @ ( s @ ( s @ X6 ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0,plain,
    ~ ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( !!
                @ ^ [Y2: $i > $i > $o] :
                    ( ( ( !!
                        @ ^ [Y3: $i] :
                            ( !!
                            @ ^ [Y4: $i] :
                                ( ( Y2 @ Y3 @ Y4 )
                               => ( ( Y2 @ ( s @ Y3 ) @ ( s @ Y4 ) )
                                  & ( Y2 @ ( s @ ( s @ Y3 ) ) @ Y4 ) ) ) ) )
                      & ( Y2 @ c1 @ c1 ) )
                   => ( Y2 @ Y0 @ Y1 ) ) )
             => ( !!
                @ ^ [Y2: $i > $i > $o] :
                    ( ( ( !!
                        @ ^ [Y3: $i] :
                            ( !!
                            @ ^ [Y4: $i] :
                                ( ( Y2 @ Y3 @ Y4 )
                               => ( ( Y2 @ ( s @ Y3 ) @ ( s @ Y4 ) )
                                  & ( Y2 @ ( s @ ( s @ Y3 ) ) @ Y4 ) ) ) ) )
                      & ( Y2 @ c1 @ c1 ) )
                   => ( Y2 @ ( s @ ( s @ Y0 ) ) @ ( s @ ( s @ Y1 ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1,plain,
    ~ ( !!
      @ ^ [Y0: $i] :
          ( ( !!
            @ ^ [Y1: $i > $i > $o] :
                ( ( ( !!
                    @ ^ [Y2: $i] :
                        ( !!
                        @ ^ [Y3: $i] :
                            ( ( Y1 @ Y2 @ Y3 )
                           => ( ( Y1 @ ( s @ Y2 ) @ ( s @ Y3 ) )
                              & ( Y1 @ ( s @ ( s @ Y2 ) ) @ Y3 ) ) ) ) )
                  & ( Y1 @ c1 @ c1 ) )
               => ( Y1 @ '#sk1' @ Y0 ) ) )
         => ( !!
            @ ^ [Y1: $i > $i > $o] :
                ( ( ( !!
                    @ ^ [Y2: $i] :
                        ( !!
                        @ ^ [Y3: $i] :
                            ( ( Y1 @ Y2 @ Y3 )
                           => ( ( Y1 @ ( s @ Y2 ) @ ( s @ Y3 ) )
                              & ( Y1 @ ( s @ ( s @ Y2 ) ) @ Y3 ) ) ) ) )
                  & ( Y1 @ c1 @ c1 ) )
               => ( Y1 @ ( s @ ( s @ '#sk1' ) ) @ ( s @ ( s @ Y0 ) ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ~ ( ( !!
        @ ^ [Y0: $i > $i > $o] :
            ( ( ( !!
                @ ^ [Y1: $i] :
                    ( !!
                    @ ^ [Y2: $i] :
                        ( ( Y0 @ Y1 @ Y2 )
                       => ( ( Y0 @ ( s @ Y1 ) @ ( s @ Y2 ) )
                          & ( Y0 @ ( s @ ( s @ Y1 ) ) @ Y2 ) ) ) ) )
              & ( Y0 @ c1 @ c1 ) )
           => ( Y0 @ '#sk1' @ '#sk2' ) ) )
     => ( !!
        @ ^ [Y0: $i > $i > $o] :
            ( ( ( !!
                @ ^ [Y1: $i] :
                    ( !!
                    @ ^ [Y2: $i] :
                        ( ( Y0 @ Y1 @ Y2 )
                       => ( ( Y0 @ ( s @ Y1 ) @ ( s @ Y2 ) )
                          & ( Y0 @ ( s @ ( s @ Y1 ) ) @ Y2 ) ) ) ) )
              & ( Y0 @ c1 @ c1 ) )
           => ( Y0 @ ( s @ ( s @ '#sk1' ) ) @ ( s @ ( s @ '#sk2' ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl4,plain,
    ~ ( !!
      @ ^ [Y0: $i > $i > $o] :
          ( ( ( !!
              @ ^ [Y1: $i] :
                  ( !!
                  @ ^ [Y2: $i] :
                      ( ( Y0 @ Y1 @ Y2 )
                     => ( ( Y0 @ ( s @ Y1 ) @ ( s @ Y2 ) )
                        & ( Y0 @ ( s @ ( s @ Y1 ) ) @ Y2 ) ) ) ) )
            & ( Y0 @ c1 @ c1 ) )
         => ( Y0 @ ( s @ ( s @ '#sk1' ) ) @ ( s @ ( s @ '#sk2' ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl7,plain,
    ~ ( ( ( !!
          @ ^ [Y0: $i] :
              ( !!
              @ ^ [Y1: $i] :
                  ( ( '#sk3' @ Y0 @ Y1 )
                 => ( ( '#sk3' @ ( s @ Y0 ) @ ( s @ Y1 ) )
                    & ( '#sk3' @ ( s @ ( s @ Y0 ) ) @ Y1 ) ) ) ) )
        & ( '#sk3' @ c1 @ c1 ) )
     => ( '#sk3' @ ( s @ ( s @ '#sk1' ) ) @ ( s @ ( s @ '#sk2' ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl9,plain,
    ( ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( '#sk3' @ Y0 @ Y1 )
             => ( ( '#sk3' @ ( s @ Y0 ) @ ( s @ Y1 ) )
                & ( '#sk3' @ ( s @ ( s @ Y0 ) ) @ Y1 ) ) ) ) )
    & ( '#sk3' @ c1 @ c1 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl12,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( ( '#sk3' @ Y0 @ Y1 )
           => ( ( '#sk3' @ ( s @ Y0 ) @ ( s @ Y1 ) )
              & ( '#sk3' @ ( s @ ( s @ Y0 ) ) @ Y1 ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl15,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( '#sk3' @ X2 @ Y0 )
         => ( ( '#sk3' @ ( s @ X2 ) @ ( s @ Y0 ) )
            & ( '#sk3' @ ( s @ ( s @ X2 ) ) @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl17,plain,
    ! [X2: $i,X4: $i] :
      ( ( '#sk3' @ X2 @ X4 )
     => ( ( '#sk3' @ ( s @ X2 ) @ ( s @ X4 ) )
        & ( '#sk3' @ ( s @ ( s @ X2 ) ) @ X4 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl20,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( '#sk3' @ X2 @ X4 )
      | ( ( '#sk3' @ ( s @ X2 ) @ ( s @ X4 ) )
        & ( '#sk3' @ ( s @ ( s @ X2 ) ) @ X4 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl23,plain,
    ! [X2: $i,X4: $i] :
      ( ( '#sk3' @ ( s @ ( s @ X2 ) ) @ X4 )
      | ~ ( '#sk3' @ X2 @ X4 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl20]) ).

thf(zip_derived_cl22,plain,
    ! [X2: $i,X4: $i] :
      ( ( '#sk3' @ ( s @ X2 ) @ ( s @ X4 ) )
      | ~ ( '#sk3' @ X2 @ X4 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl20]) ).

thf(zip_derived_cl3,plain,
    ( !!
    @ ^ [Y0: $i > $i > $o] :
        ( ( ( !!
            @ ^ [Y1: $i] :
                ( !!
                @ ^ [Y2: $i] :
                    ( ( Y0 @ Y1 @ Y2 )
                   => ( ( Y0 @ ( s @ Y1 ) @ ( s @ Y2 ) )
                      & ( Y0 @ ( s @ ( s @ Y1 ) ) @ Y2 ) ) ) ) )
          & ( Y0 @ c1 @ c1 ) )
       => ( Y0 @ '#sk1' @ '#sk2' ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl5,plain,
    ! [X2: $i > $i > $o] :
      ( ( ( !!
          @ ^ [Y0: $i] :
              ( !!
              @ ^ [Y1: $i] :
                  ( ( X2 @ Y0 @ Y1 )
                 => ( ( X2 @ ( s @ Y0 ) @ ( s @ Y1 ) )
                    & ( X2 @ ( s @ ( s @ Y0 ) ) @ Y1 ) ) ) ) )
        & ( X2 @ c1 @ c1 ) )
     => ( X2 @ '#sk1' @ '#sk2' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl6,plain,
    ( ( ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( '#sk3' @ Y0 @ Y1 )
               => ( ( '#sk3' @ ( s @ Y0 ) @ ( s @ Y1 ) )
                  & ( '#sk3' @ ( s @ ( s @ Y0 ) ) @ Y1 ) ) ) ) )
      & ( '#sk3' @ c1 @ c1 ) )
   => ( '#sk3' @ '#sk1' @ '#sk2' ) ),
    inference(triggered_bool_instantiation,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl13,plain,
    '#sk3' @ c1 @ c1,
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl24,plain,
    ( ( ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( '#sk3' @ Y0 @ Y1 )
               => ( ( '#sk3' @ ( s @ Y0 ) @ ( s @ Y1 ) )
                  & ( '#sk3' @ ( s @ ( s @ Y0 ) ) @ Y1 ) ) ) ) )
      & $true )
   => ( '#sk3' @ '#sk1' @ '#sk2' ) ),
    inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl13]) ).

thf(zip_derived_cl25,plain,
    ( ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( '#sk3' @ Y0 @ Y1 )
             => ( ( '#sk3' @ ( s @ Y0 ) @ ( s @ Y1 ) )
                & ( '#sk3' @ ( s @ ( s @ Y0 ) ) @ Y1 ) ) ) ) )
   => ( '#sk3' @ '#sk1' @ '#sk2' ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl24]) ).

thf(zip_derived_cl26,plain,
    ( ~ ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( '#sk3' @ Y0 @ Y1 )
               => ( ( '#sk3' @ ( s @ Y0 ) @ ( s @ Y1 ) )
                  & ( '#sk3' @ ( s @ ( s @ Y0 ) ) @ Y1 ) ) ) ) )
    | ( '#sk3' @ '#sk1' @ '#sk2' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl25]) ).

thf(zip_derived_cl27,plain,
    ( ~ ( !!
        @ ^ [Y0: $i] :
            ( ( '#sk3' @ ( '#sk22' @ '#sk3' ) @ Y0 )
           => ( ( '#sk3' @ ( s @ ( '#sk22' @ '#sk3' ) ) @ ( s @ Y0 ) )
              & ( '#sk3' @ ( s @ ( s @ ( '#sk22' @ '#sk3' ) ) ) @ Y0 ) ) ) )
    | ( '#sk3' @ '#sk1' @ '#sk2' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl26]) ).

thf(zip_derived_cl28,plain,
    ( ~ ( ( '#sk3' @ ( '#sk22' @ '#sk3' ) @ ( '#sk32' @ '#sk3' ) )
       => ( ( '#sk3' @ ( s @ ( '#sk22' @ '#sk3' ) ) @ ( s @ ( '#sk32' @ '#sk3' ) ) )
          & ( '#sk3' @ ( s @ ( s @ ( '#sk22' @ '#sk3' ) ) ) @ ( '#sk32' @ '#sk3' ) ) ) )
    | ( '#sk3' @ '#sk1' @ '#sk2' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl27]) ).

thf(zip_derived_cl30,plain,
    ( ~ ( ( '#sk3' @ ( s @ ( '#sk22' @ '#sk3' ) ) @ ( s @ ( '#sk32' @ '#sk3' ) ) )
        & ( '#sk3' @ ( s @ ( s @ ( '#sk22' @ '#sk3' ) ) ) @ ( '#sk32' @ '#sk3' ) ) )
    | ( '#sk3' @ '#sk1' @ '#sk2' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl28]) ).

thf(zip_derived_cl31,plain,
    ( ~ ( '#sk3' @ ( s @ ( '#sk22' @ '#sk3' ) ) @ ( s @ ( '#sk32' @ '#sk3' ) ) )
    | ~ ( '#sk3' @ ( s @ ( s @ ( '#sk22' @ '#sk3' ) ) ) @ ( '#sk32' @ '#sk3' ) )
    | ( '#sk3' @ '#sk1' @ '#sk2' ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl30]) ).

thf(zip_derived_cl22_001,plain,
    ! [X2: $i,X4: $i] :
      ( ( '#sk3' @ ( s @ X2 ) @ ( s @ X4 ) )
      | ~ ( '#sk3' @ X2 @ X4 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl20]) ).

thf(zip_derived_cl22_002,plain,
    ! [X2: $i,X4: $i] :
      ( ( '#sk3' @ ( s @ X2 ) @ ( s @ X4 ) )
      | ~ ( '#sk3' @ X2 @ X4 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl20]) ).

thf(zip_derived_cl10,plain,
    ~ ( '#sk3' @ ( s @ ( s @ '#sk1' ) ) @ ( s @ ( s @ '#sk2' ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl43,plain,
    ~ ( '#sk3' @ ( s @ '#sk1' ) @ ( s @ '#sk2' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl10]) ).

thf(zip_derived_cl47,plain,
    ~ ( '#sk3' @ '#sk1' @ '#sk2' ),
    inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl43]) ).

thf(zip_derived_cl50,plain,
    ( ~ ( '#sk3' @ ( s @ ( '#sk22' @ '#sk3' ) ) @ ( s @ ( '#sk32' @ '#sk3' ) ) )
    | ~ ( '#sk3' @ ( s @ ( s @ ( '#sk22' @ '#sk3' ) ) ) @ ( '#sk32' @ '#sk3' ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl31,zip_derived_cl47]) ).

thf(zip_derived_cl69,plain,
    ( ~ ( '#sk3' @ ( '#sk22' @ '#sk3' ) @ ( '#sk32' @ '#sk3' ) )
    | ~ ( '#sk3' @ ( s @ ( s @ ( '#sk22' @ '#sk3' ) ) ) @ ( '#sk32' @ '#sk3' ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl50]) ).

thf(zip_derived_cl29,plain,
    ( ( '#sk3' @ ( '#sk22' @ '#sk3' ) @ ( '#sk32' @ '#sk3' ) )
    | ( '#sk3' @ '#sk1' @ '#sk2' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl28]) ).

thf(zip_derived_cl47_003,plain,
    ~ ( '#sk3' @ '#sk1' @ '#sk2' ),
    inference('sup-',[status(thm)],[zip_derived_cl22,zip_derived_cl43]) ).

thf(zip_derived_cl49,plain,
    '#sk3' @ ( '#sk22' @ '#sk3' ) @ ( '#sk32' @ '#sk3' ),
    inference(demod,[status(thm)],[zip_derived_cl29,zip_derived_cl47]) ).

thf(zip_derived_cl71,plain,
    ~ ( '#sk3' @ ( s @ ( s @ ( '#sk22' @ '#sk3' ) ) ) @ ( '#sk32' @ '#sk3' ) ),
    inference(demod,[status(thm)],[zip_derived_cl69,zip_derived_cl49]) ).

thf(zip_derived_cl73,plain,
    ~ ( '#sk3' @ ( '#sk22' @ '#sk3' ) @ ( '#sk32' @ '#sk3' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl23,zip_derived_cl71]) ).

thf(zip_derived_cl49_004,plain,
    '#sk3' @ ( '#sk22' @ '#sk3' ) @ ( '#sk32' @ '#sk3' ),
    inference(demod,[status(thm)],[zip_derived_cl29,zip_derived_cl47]) ).

thf(zip_derived_cl75,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl73,zip_derived_cl49]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : PUZ113^5 : TPTP v9.2.0. Bugfixed v5.2.0.
% 0.07/0.15  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.LFW6rgCZUT true
% 0.15/0.36  % Computer : n031.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Wed Oct  1 15:06:08 EDT 2025
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.37  % Python version: Python 3.6.8
% 0.15/0.37  % Running in HO mode
% 0.58/0.70  % Total configuration time : 828
% 0.58/0.70  % Estimated wc time : 1656
% 0.58/0.70  % Estimated cpu time (8 cpus) : 207.0
% 0.60/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.60/0.75  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.60/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.60/0.75  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.60/0.77  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.61/0.78  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.61/0.81  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.61/0.82  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.61/0.93  % Solved by lams/20_acsne_simpl.sh.
% 0.61/0.93  % done 20 iterations in 0.087s
% 0.61/0.93  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.61/0.93  % SZS output start Refutation
% See solution above
% 0.61/0.93  
% 0.61/0.93  
% 0.61/0.93  % Terminating...
% 2.07/1.02  % Runner terminated.
% 2.07/1.04  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------