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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU939^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.22ytU8BikG true

% Computer : n016.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 04:56:54 PM UTC 2025

% Result   : Theorem 65.75s 8.91s
% Output   : Refutation 66.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   20
% Syntax   : Number of formulae    :   53 (  28 unt;   0 typ;   0 def)
%            Number of atoms       :   59 (  14 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  672 (  54   ~;  69   |;   6   &; 539   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   18 (   8 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  248 ( 248   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   1 con; 0-3 aty)
%            Number of variables   :  236 ( 103   ^; 129   !;   4   ?; 236   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__4_type,type,
    sk__4: ( ( $i > $i ) > $i > $o ) > ( ( $i > $i ) > $i > $o ) > $i ).

thf('#l_lift30401_type',type,
    '#l_lift30401': $i > $i ).

thf('#l_lift30403_type',type,
    '#l_lift30403': ( $i > $i ) > $i > $o ).

thf('#l_lift30405_type',type,
    '#l_lift30405': $o > ( $i > $i ) > $i > $o ).

thf(sk__2_type,type,
    sk__2: ( ( $i > $i ) > $i > $o ) > ( ( $i > $i ) > $i > $o ) > $i > $i ).

thf('#l_lift30402_type',type,
    '#l_lift30402': ( ( $i > $i ) > $i > $o ) > ( ( $i > $i ) > $i > $o ) > $i > $i ).

thf('#l_lift30404_type',type,
    '#l_lift30404': ( $i > $i ) > $i > $o ).

thf(sk__3_type,type,
    sk__3: ( ( $i > $i ) > $i > $o ) > ( ( $i > $i ) > $i > $o ) > $i ).

thf(sk__5_type,type,
    sk__5: ( ( $i > $i ) > $i > $o ) > ( ( $i > $i ) > $i > $o ) > $i ).

thf(sk__1_type,type,
    sk__1: ( ( $i > $i ) > $i > $o ) > ( ( $i > $i ) > $i > $o ) > $i > $i ).

thf(sk__type,type,
    sk_: $i > $o ).

thf(cTHM112B,conjecture,
    ! [P: $i > $o] :
    ? [Xm_9: ( $i > $i ) > $i > $o,Xm_10: ( $i > $i ) > $i > $o] :
      ( ! [G: $i > $i,H: $i > $i] :
          ( ( ! [Xw_1: $i] :
                ( ( Xm_10 @ G @ Xw_1 )
                | ( Xm_9 @ G @ Xw_1 ) )
            & ! [Xw_1: $i] :
                ( ( Xm_10 @ H @ Xw_1 )
                | ( Xm_9 @ H @ Xw_1 ) ) )
         => ( ! [Xw_1: $i] :
                ( ( Xm_10
                  @ ^ [Xx: $i] : ( G @ ( H @ Xx ) )
                  @ Xw_1 )
                | ( Xm_9
                  @ ^ [Xx: $i] : ( G @ ( H @ Xx ) )
                  @ Xw_1 ) )
            & ! [Y: $i] :
                ( ( P @ Y )
               => ( P @ ( G @ Y ) ) ) ) )
      & ! [Xw_1: $i] :
          ( ( Xm_10
            @ ^ [Xx: $i] : Xx
            @ Xw_1 )
          | ( Xm_9
            @ ^ [Xx: $i] : Xx
            @ Xw_1 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [P: $i > $o] :
      ? [Xm_9: ( $i > $i ) > $i > $o,Xm_10: ( $i > $i ) > $i > $o] :
        ( ! [G: $i > $i,H: $i > $i] :
            ( ( ! [Xw_1: $i] :
                  ( ( Xm_10 @ G @ Xw_1 )
                  | ( Xm_9 @ G @ Xw_1 ) )
              & ! [Xw_1: $i] :
                  ( ( Xm_10 @ H @ Xw_1 )
                  | ( Xm_9 @ H @ Xw_1 ) ) )
           => ( ! [Xw_1: $i] :
                  ( ( Xm_10
                    @ ^ [Xx: $i] : ( G @ ( H @ Xx ) )
                    @ Xw_1 )
                  | ( Xm_9
                    @ ^ [Xx: $i] : ( G @ ( H @ Xx ) )
                    @ Xw_1 ) )
              & ! [Y: $i] :
                  ( ( P @ Y )
                 => ( P @ ( G @ Y ) ) ) ) )
        & ! [Xw_1: $i] :
            ( ( Xm_10
              @ ^ [Xx: $i] : Xx
              @ Xw_1 )
            | ( Xm_9
              @ ^ [Xx: $i] : Xx
              @ Xw_1 ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM112B]) ).

thf(zip_derived_cl8,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o] :
      ( ( sk_ @ ( sk__4 @ X1 @ X0 ) )
      | ~ ( X1
          @ ^ [Y0: $i] : ( sk__1 @ X1 @ X0 @ ( sk__2 @ X1 @ X0 @ Y0 ) )
          @ ( sk__3 @ X1 @ X0 ) )
      | ~ ( X1
          @ ^ [Y0: $i] : Y0
          @ ( sk__5 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o] :
      ( ( sk_ @ ( sk__4 @ X1 @ X0 ) )
      | ~ ( X0
          @ ^ [Y0: $i] : ( sk__1 @ X1 @ X0 @ ( sk__2 @ X1 @ X0 @ Y0 ) )
          @ ( sk__3 @ X1 @ X0 ) )
      | ~ ( X1
          @ ^ [Y0: $i] : Y0
          @ ( sk__5 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5359,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X2: $i] :
      ( ( '#l_lift30402' @ X0 @ X1 @ X2 )
      = ( sk__1 @ X1 @ X0 @ ( sk__2 @ X1 @ X0 @ X2 ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl0,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X2: $i] :
      ( ( X0 @ ( sk__1 @ X1 @ X0 ) @ X2 )
      | ( X1 @ ( sk__1 @ X1 @ X0 ) @ X2 )
      | ~ ( X1
          @ ^ [Y0: $i] : Y0
          @ ( sk__5 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5354,plain,
    ! [X3: $i] :
      ( ( '#l_lift30401' @ X3 )
      = X3 ),
    define([status(thm)]) ).

thf(zip_derived_cl5364,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o] :
      ( ( sk_ @ ( sk__4 @ X1 @ X0 ) )
      | ~ ( X1 @ ( '#l_lift30402' @ X0 @ X1 ) @ ( sk__3 @ X1 @ X0 ) )
      | ~ ( X1 @ '#l_lift30401' @ ( sk__5 @ X1 @ X0 ) ) ),
    inference(lambda_lifting,[status(thm)],[zip_derived_cl8,zip_derived_cl5359,zip_derived_cl5354]) ).

thf(zip_derived_cl2,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X3: $i] :
      ( ( X0 @ ( sk__2 @ X1 @ X0 ) @ X3 )
      | ( X1 @ ( sk__2 @ X1 @ X0 ) @ X3 )
      | ~ ( X1
          @ ^ [Y0: $i] : Y0
          @ ( sk__5 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5354_001,plain,
    ! [X3: $i] :
      ( ( '#l_lift30401' @ X3 )
      = X3 ),
    define([status(thm)]) ).

thf(zip_derived_cl5357,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X3: $i] :
      ( ( X0 @ ( sk__2 @ X1 @ X0 ) @ X3 )
      | ( X1 @ ( sk__2 @ X1 @ X0 ) @ X3 )
      | ~ ( X1 @ '#l_lift30401' @ ( sk__5 @ X1 @ X0 ) ) ),
    inference(lambda_lifting,[status(thm)],[zip_derived_cl2,zip_derived_cl5354]) ).

thf(zip_derived_cl7,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o] :
      ( ~ ( sk_ @ ( sk__1 @ X1 @ X0 @ ( sk__4 @ X1 @ X0 ) ) )
      | ~ ( X0
          @ ^ [Y0: $i] : ( sk__1 @ X1 @ X0 @ ( sk__2 @ X1 @ X0 @ Y0 ) )
          @ ( sk__3 @ X1 @ X0 ) )
      | ~ ( X0
          @ ^ [Y0: $i] : Y0
          @ ( sk__5 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5359_002,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X2: $i] :
      ( ( '#l_lift30402' @ X0 @ X1 @ X2 )
      = ( sk__1 @ X1 @ X0 @ ( sk__2 @ X1 @ X0 @ X2 ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl5354_003,plain,
    ! [X3: $i] :
      ( ( '#l_lift30401' @ X3 )
      = X3 ),
    define([status(thm)]) ).

thf(zip_derived_cl5363,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o] :
      ( ~ ( sk_ @ ( sk__1 @ X1 @ X0 @ ( sk__4 @ X1 @ X0 ) ) )
      | ~ ( X0 @ ( '#l_lift30402' @ X0 @ X1 ) @ ( sk__3 @ X1 @ X0 ) )
      | ~ ( X0 @ '#l_lift30401' @ ( sk__5 @ X1 @ X0 ) ) ),
    inference(lambda_lifting,[status(thm)],[zip_derived_cl7,zip_derived_cl5359,zip_derived_cl5354]) ).

thf(zip_derived_cl5359_004,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X2: $i] :
      ( ( '#l_lift30402' @ X0 @ X1 @ X2 )
      = ( sk__1 @ X1 @ X0 @ ( sk__2 @ X1 @ X0 @ X2 ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl0_005,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X2: $i] :
      ( ( X0 @ ( sk__1 @ X1 @ X0 ) @ X2 )
      | ( X1 @ ( sk__1 @ X1 @ X0 ) @ X2 )
      | ~ ( X1
          @ ^ [Y0: $i] : Y0
          @ ( sk__5 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl37,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: $i] :
      ( ~ ( X0
          @ ^ [Y0: $i] : Y0
          @ ( sk__5 @ X0
            @ ^ [Y0: $i > $i,Y1: $i] : $false ) )
      | ( X0
        @ ( sk__1 @ X0
          @ ^ [Y0: $i > $i,Y1: $i] : $false )
        @ X1 )
      | ( ^ [Y0: $i > $i,Y1: $i] : $false
        @ ( sk__1 @ X0
          @ ^ [Y0: $i > $i,Y1: $i] : $false )
        @ X1 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl54,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: $i] :
      ( ~ ( X0
          @ ^ [Y0: $i] : Y0
          @ ( sk__5 @ X0
            @ ^ [Y0: $i > $i,Y1: $i] : $false ) )
      | ( X0
        @ ( sk__1 @ X0
          @ ^ [Y0: $i > $i,Y1: $i] : $false )
        @ X1 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl37]) ).

thf(zip_derived_cl5354_006,plain,
    ! [X3: $i] :
      ( ( '#l_lift30401' @ X3 )
      = X3 ),
    define([status(thm)]) ).

thf(zip_derived_cl3,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X3: $i] :
      ( ( X0 @ ( sk__2 @ X1 @ X0 ) @ X3 )
      | ( X1 @ ( sk__2 @ X1 @ X0 ) @ X3 )
      | ~ ( X0
          @ ^ [Y0: $i] : Y0
          @ ( sk__5 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3025,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: $i] :
      ( ( X0
        @ ( sk__2
          @ ^ [Y0: $i > $i,Y1: $i] : $false
          @ X0 )
        @ X1 )
      | ( ^ [Y0: $i > $i,Y1: $i] : $false
        @ ( sk__2
          @ ^ [Y0: $i > $i,Y1: $i] : $false
          @ X0 )
        @ X1 )
      | ~ ( X0
          @ ^ [Y0: $i] : Y0
          @ ( sk__5
            @ ^ [Y0: $i > $i,Y1: $i] : $false
            @ X0 ) ) ),
    inference(false_elim,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl3074,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: $i] :
      ( ( X0
        @ ( sk__2
          @ ^ [Y0: $i > $i,Y1: $i] : $false
          @ X0 )
        @ X1 )
      | ~ ( X0
          @ ^ [Y0: $i] : Y0
          @ ( sk__5
            @ ^ [Y0: $i > $i,Y1: $i] : $false
            @ X0 ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl3025]) ).

thf(zip_derived_cl5368,plain,
    ! [X2: $i > $i,X3: $i] :
      ~ ( '#l_lift30403' @ X2 @ X3 ),
    define([status(thm)]) ).

thf(zip_derived_cl5368_007,plain,
    ! [X2: $i > $i,X3: $i] :
      ~ ( '#l_lift30403' @ X2 @ X3 ),
    define([status(thm)]) ).

thf(zip_derived_cl5381,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: $i] :
      ( ~ ( X0 @ '#l_lift30401' @ ( sk__5 @ X0 @ '#l_lift30403' ) )
      | ( X0 @ ( sk__1 @ X0 @ '#l_lift30403' ) @ X1 ) ),
    inference(lambda_lifting,[status(thm)],[zip_derived_cl54,zip_derived_cl5354,zip_derived_cl5368,zip_derived_cl5368]) ).

thf(zip_derived_cl5354_008,plain,
    ! [X3: $i] :
      ( ( '#l_lift30401' @ X3 )
      = X3 ),
    define([status(thm)]) ).

thf(zip_derived_cl11,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o] :
      ( ~ ( sk_ @ ( sk__1 @ X1 @ X0 @ ( sk__4 @ X1 @ X0 ) ) )
      | ~ ( X1
          @ ^ [Y0: $i] : ( sk__1 @ X1 @ X0 @ ( sk__2 @ X1 @ X0 @ Y0 ) )
          @ ( sk__3 @ X1 @ X0 ) )
      | ~ ( X0
          @ ^ [Y0: $i] : Y0
          @ ( sk__5 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X2: $i] :
      ( ( X0 @ ( sk__1 @ X1 @ X0 ) @ X2 )
      | ( X1 @ ( sk__1 @ X1 @ X0 ) @ X2 )
      | ~ ( X0
          @ ^ [Y0: $i] : Y0
          @ ( sk__5 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5143,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X2: ( $i > $i ) > $i > $o] :
      ( ~ ( X0
          @ ^ [Y0: $i] : Y0
          @ ( sk__5 @ X1 @ X0 ) )
      | ~ ( X1
          @ ^ [Y0: $i] : ( sk__1 @ X1 @ X0 @ ( sk__2 @ X1 @ X0 @ Y0 ) )
          @ ( sk__3 @ X1 @ X0 ) )
      | ~ ( X2
          @ ^ [Y0: $i] : Y0
          @ ( sk__5
            @ ^ [Y0: $i > $i,Y1: $i] :
                ( sk_
                @ ( ^ [Y2: $i > $i,Y3: $i] : Y3
                  @ Y0
                  @ Y1 ) )
            @ X2 ) )
      | ( X2
        @ ( sk__1
          @ ^ [Y0: $i > $i,Y1: $i] :
              ( sk_
              @ ( ^ [Y2: $i > $i,Y3: $i] : Y3
                @ Y0
                @ Y1 ) )
          @ X2 )
        @ ( sk__1 @ X1 @ X0 @ ( sk__4 @ X1 @ X0 ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl11,zip_derived_cl1]) ).

thf(zip_derived_cl5352,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X2: ( $i > $i ) > $i > $o] :
      ( ~ ( X0
          @ ^ [Y0: $i] : Y0
          @ ( sk__5 @ X1 @ X0 ) )
      | ~ ( X1
          @ ^ [Y0: $i] : ( sk__1 @ X1 @ X0 @ ( sk__2 @ X1 @ X0 @ Y0 ) )
          @ ( sk__3 @ X1 @ X0 ) )
      | ~ ( X2
          @ ^ [Y0: $i] : Y0
          @ ( sk__5
            @ ^ [Y0: $i > $i] : sk_
            @ X2 ) )
      | ( X2
        @ ( sk__1
          @ ^ [Y0: $i > $i] : sk_
          @ X2 )
        @ ( sk__1 @ X1 @ X0 @ ( sk__4 @ X1 @ X0 ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl5143]) ).

thf(zip_derived_cl5391,plain,
    ! [X3: $i > $i,X4: $i] :
      ( ( '#l_lift30404' @ X3 @ X4 )
      = ( sk_ @ X4 ) ),
    define([status(thm)]) ).

thf(zip_derived_cl0_009,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X2: $i] :
      ( ( X0 @ ( sk__1 @ X1 @ X0 ) @ X2 )
      | ( X1 @ ( sk__1 @ X1 @ X0 ) @ X2 )
      | ~ ( X1
          @ ^ [Y0: $i] : Y0
          @ ( sk__5 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5354_010,plain,
    ! [X3: $i] :
      ( ( '#l_lift30401' @ X3 )
      = X3 ),
    define([status(thm)]) ).

thf(zip_derived_cl5355,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X2: $i] :
      ( ( X0 @ ( sk__1 @ X1 @ X0 ) @ X2 )
      | ( X1 @ ( sk__1 @ X1 @ X0 ) @ X2 )
      | ~ ( X1 @ '#l_lift30401' @ ( sk__5 @ X1 @ X0 ) ) ),
    inference(lambda_lifting,[status(thm)],[zip_derived_cl0,zip_derived_cl5354]) ).

thf(zip_derived_cl3_011,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X3: $i] :
      ( ( X0 @ ( sk__2 @ X1 @ X0 ) @ X3 )
      | ( X1 @ ( sk__2 @ X1 @ X0 ) @ X3 )
      | ~ ( X0
          @ ^ [Y0: $i] : Y0
          @ ( sk__5 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl0_012,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X2: $i] :
      ( ( X0 @ ( sk__1 @ X1 @ X0 ) @ X2 )
      | ( X1 @ ( sk__1 @ X1 @ X0 ) @ X2 )
      | ~ ( X1
          @ ^ [Y0: $i] : Y0
          @ ( sk__5 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1028,plain,
    ! [X0: $o,X1: ( $i > $i ) > $i > $o,X2: $i,X3: ( $i > $i ) > $i > $o,X4: $i] :
      ( ~ ( X3
          @ ^ [Y0: $i] : Y0
          @ ( sk__5
            @ ^ [Y0: $i > $i,Y1: $i] : X0
            @ X3 ) )
      | ( X3
        @ ( sk__2
          @ ^ [Y0: $i > $i,Y1: $i] : X0
          @ X3 )
        @ X2 )
      | ( ^ [Y0: $i > $i,Y1: $i] : X0
        @ ( sk__1
          @ ^ [Y0: $i > $i,Y1: $i] : X0
          @ X1 )
        @ X4 )
      | ( X1
        @ ( sk__1
          @ ^ [Y0: $i > $i,Y1: $i] : X0
          @ X1 )
        @ X4 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl0]) ).

thf(zip_derived_cl1228,plain,
    ! [X0: $o,X1: ( $i > $i ) > $i > $o,X2: $i,X3: ( $i > $i ) > $i > $o,X4: $i] :
      ( ~ ( X3
          @ ^ [Y0: $i] : Y0
          @ ( sk__5
            @ ^ [Y0: $i > $i,Y1: $i] : X0
            @ X3 ) )
      | ( X3
        @ ( sk__2
          @ ^ [Y0: $i > $i,Y1: $i] : X0
          @ X3 )
        @ X2 )
      | X0
      | ( X1
        @ ( sk__1
          @ ^ [Y0: $i > $i,Y1: $i] : X0
          @ X1 )
        @ X4 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl1028]) ).

thf(zip_derived_cl5368_013,plain,
    ! [X2: $i > $i,X3: $i] :
      ~ ( '#l_lift30403' @ X2 @ X3 ),
    define([status(thm)]) ).

thf(zip_derived_cl5409,plain,
    ( ( '#l_lift30405' @ $false )
    = '#l_lift30403' ),
    define([status(thm)]) ).

thf(zip_derived_cl10,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o] :
      ( ~ ( sk_ @ ( sk__1 @ X1 @ X0 @ ( sk__4 @ X1 @ X0 ) ) )
      | ~ ( X1
          @ ^ [Y0: $i] : ( sk__1 @ X1 @ X0 @ ( sk__2 @ X1 @ X0 @ Y0 ) )
          @ ( sk__3 @ X1 @ X0 ) )
      | ~ ( X1
          @ ^ [Y0: $i] : Y0
          @ ( sk__5 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5359_014,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X2: $i] :
      ( ( '#l_lift30402' @ X0 @ X1 @ X2 )
      = ( sk__1 @ X1 @ X0 @ ( sk__2 @ X1 @ X0 @ X2 ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl5354_015,plain,
    ! [X3: $i] :
      ( ( '#l_lift30401' @ X3 )
      = X3 ),
    define([status(thm)]) ).

thf(zip_derived_cl5366,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o] :
      ( ~ ( sk_ @ ( sk__1 @ X1 @ X0 @ ( sk__4 @ X1 @ X0 ) ) )
      | ~ ( X1 @ ( '#l_lift30402' @ X0 @ X1 ) @ ( sk__3 @ X1 @ X0 ) )
      | ~ ( X1 @ '#l_lift30401' @ ( sk__5 @ X1 @ X0 ) ) ),
    inference(lambda_lifting,[status(thm)],[zip_derived_cl10,zip_derived_cl5359,zip_derived_cl5354]) ).

thf(zip_derived_cl1_016,plain,
    ! [X0: ( $i > $i ) > $i > $o,X1: ( $i > $i ) > $i > $o,X2: $i] :
      ( ( X0 @ ( sk__1 @ X1 @ X0 ) @ X2 )
      | ( X1 @ ( sk__1 @ X1 @ X0 ) @ X2 )
      | ~ ( X0
          @ ^ [Y0: $i] : Y0
          @ ( sk__5 @ X1 @ X0 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl342,plain,
    ! [X0: $i,X1: ( $i > $i ) > $i > $o] :
      ( ~ ( X1
          @ ^ [Y0: $i] : Y0
          @ ( sk__5
            @ ^ [Y0: $i > $i,Y1: $i] : $false
            @ X1 ) )
      | ( ^ [Y0: $i > $i,Y1: $i] : $false
        @ ( sk__1
          @ ^ [Y0: $i > $i,Y1: $i] : $false
          @ X1 )
        @ X0 )
      | ( X1
        @ ( sk__1
          @ ^ [Y0: $i > $i,Y1: $i] : $false
          @ X1 )
        @ X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl359,plain,
    ! [X0: $i,X1: ( $i > $i ) > $i > $o] :
      ( ~ ( X1
          @ ^ [Y0: $i] : Y0
          @ ( sk__5
            @ ^ [Y0: $i > $i,Y1: $i] : $false
            @ X1 ) )
      | ( X1
        @ ( sk__1
          @ ^ [Y0: $i > $i,Y1: $i] : $false
          @ X1 )
        @ X0 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl342]) ).

thf(zip_derived_cl5354_017,plain,
    ! [X3: $i] :
      ( ( '#l_lift30401' @ X3 )
      = X3 ),
    define([status(thm)]) ).

thf(zip_derived_cl5368_018,plain,
    ! [X2: $i > $i,X3: $i] :
      ~ ( '#l_lift30403' @ X2 @ X3 ),
    define([status(thm)]) ).

thf(zip_derived_cl5368_019,plain,
    ! [X2: $i > $i,X3: $i] :
      ~ ( '#l_lift30403' @ X2 @ X3 ),
    define([status(thm)]) ).

thf(zip_derived_cl5380,plain,
    ! [X0: $i,X1: ( $i > $i ) > $i > $o] :
      ( ~ ( X1 @ '#l_lift30401' @ ( sk__5 @ '#l_lift30403' @ X1 ) )
      | ( X1 @ ( sk__1 @ '#l_lift30403' @ X1 ) @ X0 ) ),
    inference(lambda_lifting,[status(thm)],[zip_derived_cl359,zip_derived_cl5354,zip_derived_cl5368,zip_derived_cl5368]) ).

thf(zip_derived_cl5436,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl5364,zip_derived_cl5357,zip_derived_cl5363,zip_derived_cl5359,zip_derived_cl5381,zip_derived_cl5354,zip_derived_cl5391,zip_derived_cl5355,zip_derived_cl5409,zip_derived_cl5366,zip_derived_cl5380]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SEU939^5 : TPTP v9.2.0. Released v4.0.0.
% 0.00/0.09  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.22ytU8BikG true
% 0.09/0.29  % Computer : n016.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit : 300
% 0.09/0.29  % WCLimit  : 300
% 0.09/0.29  % DateTime : Wed Oct  1 16:01:23 EDT 2025
% 0.09/0.29  % CPUTime  : 
% 0.09/0.29  % Running portfolio for 300 s
% 0.13/0.29  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.29  % Number of cores: 8
% 0.13/0.29  % Python version: Python 3.6.8
% 0.13/0.29  % Running in HO mode
% 0.14/0.55  % Total configuration time : 828
% 0.14/0.55  % Estimated wc time : 1656
% 0.14/0.55  % Estimated cpu time (8 cpus) : 207.0
% 1.08/0.62  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 1.08/0.62  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.08/0.63  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.08/0.63  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.08/0.63  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.22/0.67  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.22/0.67  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.22/0.69  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 65.75/8.91  % Solved by lams/40_c_ic.sh.
% 65.75/8.91  % done 198 iterations in 8.253s
% 65.75/8.91  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 65.75/8.91  % SZS output start Refutation
% See solution above
% 66.24/8.91  
% 66.24/8.91  
% 66.24/8.91  % Terminating...
% 66.52/9.07  % Runner terminated.
% 66.55/9.09  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------