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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : GRA028^1 : TPTP v9.2.0. Released v3.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.inh05x6oVL true

% Computer : n021.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 04:35:14 PM UTC 2025

% Result   : Theorem 169.86s 22.06s
% Output   : Refutation 169.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   43 (  15 unt;   0 typ;   0 def)
%            Number of atoms       :  134 (  29 equ;   4 cnn)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  720 ( 114   ~; 186   |;  38   &; 378   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   31 (  12 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :  194 ( 194   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   11 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :  179 (  33   ^; 126   !;  20   ?; 179   :)

% Comments : 
%------------------------------------------------------------------------------
thf(sk__type,type,
    sk_: ( $o > $o ) > ( $o > $o ) > $o ).

thf('#l_lift24718_type',type,
    '#l_lift24718': $o > $o ).

thf('#l_lift24719_type',type,
    '#l_lift24719': $o > $o ).

thf('#l_lift24717_type',type,
    '#l_lift24717': ( $o > $o ) > $o > $o ).

thf('#ty_enc24716_type',type,
    '#ty_enc24716': ( $o > $o ) > $o ).

thf('#l_lift24720_type',type,
    '#l_lift24720': $o > $o ).

thf(ramsey_u_2_4_4,conjecture,
    ! [G: ( $o > $o ) > ( $o > $o ) > $o] :
      ( ! [Xx: $o > $o,Xy: $o > $o] :
          ( ( G @ Xx @ Xy )
         => ( G @ Xy @ Xx ) )
     => ( ? [Xx0: $o > $o,Xx1: $o > $o,Xp0: ( $o > $o ) > $o] :
            ( ( G @ Xx1 @ Xx0 )
            & ~ ( Xp0 @ Xx1 )
            & ( Xp0 @ Xx0 ) )
        | ? [Xx0: $o > $o,Xx1: $o > $o,Xx2: $o > $o,Xx3: $o > $o,Xp0: ( $o > $o ) > $o,Xp1: ( $o > $o ) > $o,Xp2: ( $o > $o ) > $o] :
            ( ~ ( G @ Xx3 @ Xx2 )
            & ~ ( G @ Xx3 @ Xx1 )
            & ~ ( G @ Xx3 @ Xx0 )
            & ~ ( G @ Xx2 @ Xx1 )
            & ~ ( G @ Xx2 @ Xx0 )
            & ~ ( G @ Xx1 @ Xx0 )
            & ~ ( Xp2 @ Xx3 )
            & ( Xp2 @ Xx2 )
            & ~ ( Xp2 @ Xx1 )
            & ~ ( Xp2 @ Xx0 )
            & ~ ( Xp1 @ Xx3 )
            & ~ ( Xp1 @ Xx2 )
            & ( Xp1 @ Xx1 )
            & ~ ( Xp1 @ Xx0 )
            & ~ ( Xp0 @ Xx3 )
            & ~ ( Xp0 @ Xx2 )
            & ~ ( Xp0 @ Xx1 )
            & ( Xp0 @ Xx0 ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [G: ( $o > $o ) > ( $o > $o ) > $o] :
        ( ! [Xx: $o > $o,Xy: $o > $o] :
            ( ( G @ Xx @ Xy )
           => ( G @ Xy @ Xx ) )
       => ( ? [Xx0: $o > $o,Xx1: $o > $o,Xp0: ( $o > $o ) > $o] :
              ( ( G @ Xx1 @ Xx0 )
              & ~ ( Xp0 @ Xx1 )
              & ( Xp0 @ Xx0 ) )
          | ? [Xx0: $o > $o,Xx1: $o > $o,Xx2: $o > $o,Xx3: $o > $o,Xp0: ( $o > $o ) > $o,Xp1: ( $o > $o ) > $o,Xp2: ( $o > $o ) > $o] :
              ( ~ ( G @ Xx3 @ Xx2 )
              & ~ ( G @ Xx3 @ Xx1 )
              & ~ ( G @ Xx3 @ Xx0 )
              & ~ ( G @ Xx2 @ Xx1 )
              & ~ ( G @ Xx2 @ Xx0 )
              & ~ ( G @ Xx1 @ Xx0 )
              & ~ ( Xp2 @ Xx3 )
              & ( Xp2 @ Xx2 )
              & ~ ( Xp2 @ Xx1 )
              & ~ ( Xp2 @ Xx0 )
              & ~ ( Xp1 @ Xx3 )
              & ~ ( Xp1 @ Xx2 )
              & ( Xp1 @ Xx1 )
              & ~ ( Xp1 @ Xx0 )
              & ~ ( Xp0 @ Xx3 )
              & ~ ( Xp0 @ Xx2 )
              & ~ ( Xp0 @ Xx1 )
              & ( Xp0 @ Xx0 ) ) ) ),
    inference('cnf.neg',[status(esa)],[ramsey_u_2_4_4]) ).

thf(zip_derived_cl1,plain,
    ! [X2: $o > $o,X3: $o > $o,X4: ( $o > $o ) > $o] :
      ( ~ ( sk_ @ X2 @ X3 )
      | ~ ( X4 @ X3 )
      | ( X4 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl36,plain,
    ! [X0: ( $o > $o ) > $o,X1: $o > $o] :
      ( ( ^ [Y0: $o > $o] : ( Y0 @ ( X0 @ Y0 ) )
        @ X1 )
      | ~ ( ^ [Y0: $o > $o] : ( Y0 @ ( X0 @ Y0 ) )
          @ ^ [Y0: $o] : $true )
      | ~ ( sk_ @ X1
          @ ^ [Y0: $o] : $true ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl50,plain,
    ! [X0: ( $o > $o ) > $o,X1: $o > $o] :
      ( ( X1 @ ( X0 @ X1 ) )
      | ~ ( sk_ @ X1
          @ ^ [Y0: $o] : $true ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl36]) ).

thf(zip_derived_cl51,plain,
    ! [X0: $o,X1: $o > $o] :
      ( ( X1
        @ ( ^ [Y0: $o > $o] : X0
          @ X1 ) )
      | ~ ( sk_ @ X1
          @ ^ [Y0: $o] : $true ) ),
    inference(prune_arg_fun,[status(thm)],[zip_derived_cl50]) ).

thf(zip_derived_cl52,plain,
    ! [X0: $o,X1: $o > $o] :
      ( ( X1 @ X0 )
      | ~ ( sk_ @ X1
          @ ^ [Y0: $o] : $true ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl51]) ).

thf(zip_derived_cl5275,plain,
    ! [X2: $o] : ( '#l_lift24720' @ X2 ),
    define([status(thm)]) ).

thf(zip_derived_cl1_001,plain,
    ! [X2: $o > $o,X3: $o > $o,X4: ( $o > $o ) > $o] :
      ( ~ ( sk_ @ X2 @ X3 )
      | ~ ( X4 @ X3 )
      | ( X4 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl15,plain,
    ! [X3: $o > $o,X6: $o] :
      ( ~ ( X3 @ X6 )
      | ( X3 @ ( $$choice @ X3 ) ) ),
    inference('inst_choice((X3))',[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl5266,plain,
    ! [X3: $o > $o,X6: $o] :
      ( ~ ( X3 @ X6 )
      | ( X3 @ ( '#ty_enc24716' @ X3 ) ) ),
    inference(remove_ty_args,[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl1_002,plain,
    ! [X2: $o > $o,X3: $o > $o,X4: ( $o > $o ) > $o] :
      ( ~ ( sk_ @ X2 @ X3 )
      | ~ ( X4 @ X3 )
      | ( X4 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl37,plain,
    ! [X0: ( $o > $o ) > $o,X1: $o > $o] :
      ( ~ ( ^ [Y0: $o > $o] : ( Y0 @ ( X0 @ Y0 ) )
          @ X1 )
      | ( ^ [Y0: $o > $o] : ( Y0 @ ( X0 @ Y0 ) )
        @ ^ [Y0: $o] : $false )
      | ~ ( sk_
          @ ^ [Y0: $o] : $false
          @ X1 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl53,plain,
    ! [X0: ( $o > $o ) > $o,X1: $o > $o] :
      ( ~ ( X1 @ ( X0 @ X1 ) )
      | ~ ( sk_
          @ ^ [Y0: $o] : $false
          @ X1 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl37]) ).

thf(zip_derived_cl54,plain,
    ! [X0: $o,X1: $o > $o] :
      ( ~ ( X1
          @ ( ^ [Y0: $o > $o] : X0
            @ X1 ) )
      | ~ ( sk_
          @ ^ [Y0: $o] : $false
          @ X1 ) ),
    inference(prune_arg_fun,[status(thm)],[zip_derived_cl53]) ).

thf(zip_derived_cl55,plain,
    ! [X0: $o,X1: $o > $o] :
      ( ~ ( X1 @ X0 )
      | ~ ( sk_
          @ ^ [Y0: $o] : $false
          @ X1 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl54]) ).

thf(zip_derived_cl5273,plain,
    ! [X2: $o] :
      ~ ( '#l_lift24719' @ X2 ),
    define([status(thm)]) ).

thf(zip_derived_cl1_003,plain,
    ! [X2: $o > $o,X3: $o > $o,X4: ( $o > $o ) > $o] :
      ( ~ ( sk_ @ X2 @ X3 )
      | ~ ( X4 @ X3 )
      | ( X4 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl20,plain,
    ! [X0: $o > $o,X1: $o > $o] :
      ( ~ ( sk_ @ X1 @ X0 )
      | ( ^ [Y0: $o > $o] : ( Y0 = X0 )
        @ X1 ) ),
    inference(ho_elim_pred,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl25,plain,
    ! [X0: $o > $o,X1: $o > $o] :
      ( ~ ( sk_ @ X1 @ X0 )
      | ( X1 = X0 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl20]) ).

thf(zip_derived_cl26,plain,
    ! [X0: $o > $o,X1: $o > $o] :
      ( ~ ( sk_ @ X1 @ X0 )
      | ( X1 = X0 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl25]) ).

thf(zip_derived_cl1_004,plain,
    ! [X2: $o > $o,X3: $o > $o,X4: ( $o > $o ) > $o] :
      ( ~ ( sk_ @ X2 @ X3 )
      | ~ ( X4 @ X3 )
      | ( X4 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ! [X5: $o > $o,X6: $o > $o,X7: $o > $o,X8: $o > $o,X9: ( $o > $o ) > $o,X10: ( $o > $o ) > $o,X11: ( $o > $o ) > $o] :
      ( ( sk_ @ X5 @ X6 )
      | ( sk_ @ X5 @ X7 )
      | ( sk_ @ X5 @ X8 )
      | ( sk_ @ X6 @ X7 )
      | ( sk_ @ X6 @ X8 )
      | ( sk_ @ X7 @ X8 )
      | ( X9 @ X5 )
      | ( X9 @ X6 )
      | ~ ( X9 @ X7 )
      | ( X9 @ X8 )
      | ( X10 @ X5 )
      | ( X10 @ X6 )
      | ( X10 @ X7 )
      | ~ ( X10 @ X8 )
      | ( X11 @ X8 )
      | ( X11 @ X7 )
      | ~ ( X11 @ X6 )
      | ( X11 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl157,plain,
    ! [X0: ( $o > $o ) > $o,X1: $o > $o,X2: $o > $o,X3: $o > $o,X4: $o > $o,X5: ( $o > $o ) > $o] :
      ( ( X0 @ X1 )
      | ~ ( X0 @ X2 )
      | ( X0 @ X3 )
      | ( X0 @ X4 )
      | ( X5 @ X4 )
      | ~ ( X5 @ X3 )
      | ( X5 @ X2 )
      | ( X5 @ X1 )
      | ( sk_ @ X3 @ X4 )
      | ( sk_ @ X2 @ X4 )
      | ( sk_ @ X2 @ X3 )
      | ( sk_ @ X1 @ X4 )
      | ( sk_ @ X1 @ X3 )
      | ( sk_ @ X1 @ X2 )
      | ( ^ [Y0: $o > $o] : ( Y0 = X4 )
        @ X3 )
      | ( ^ [Y0: $o > $o] : ( Y0 = X4 )
        @ X2 )
      | ( ^ [Y0: $o > $o] : ( Y0 = X4 )
        @ X1 ) ),
    inference(ho_elim_pred,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl576,plain,
    ! [X0: ( $o > $o ) > $o,X1: $o > $o,X2: $o > $o,X3: $o > $o,X4: $o > $o,X5: ( $o > $o ) > $o] :
      ( ( X0 @ X1 )
      | ~ ( X0 @ X2 )
      | ( X0 @ X3 )
      | ( X0 @ X4 )
      | ( X5 @ X4 )
      | ~ ( X5 @ X3 )
      | ( X5 @ X2 )
      | ( X5 @ X1 )
      | ( sk_ @ X3 @ X4 )
      | ( sk_ @ X2 @ X4 )
      | ( sk_ @ X2 @ X3 )
      | ( sk_ @ X1 @ X4 )
      | ( sk_ @ X1 @ X3 )
      | ( sk_ @ X1 @ X2 )
      | ( X3 = X4 )
      | ( X2 = X4 )
      | ( X1 = X4 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl157]) ).

thf(zip_derived_cl577,plain,
    ! [X0: ( $o > $o ) > $o,X1: $o > $o,X2: $o > $o,X3: $o > $o,X4: $o > $o,X5: ( $o > $o ) > $o] :
      ( ( X0 @ X1 )
      | ~ ( X0 @ X2 )
      | ( X0 @ X3 )
      | ( X0 @ X4 )
      | ( X5 @ X4 )
      | ~ ( X5 @ X3 )
      | ( X5 @ X2 )
      | ( X5 @ X1 )
      | ( sk_ @ X3 @ X4 )
      | ( sk_ @ X2 @ X4 )
      | ( sk_ @ X2 @ X3 )
      | ( sk_ @ X1 @ X4 )
      | ( sk_ @ X1 @ X3 )
      | ( sk_ @ X1 @ X2 )
      | ( X3 = X4 )
      | ( X2 = X4 )
      | ( X1 = X4 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl576]) ).

thf(zip_derived_cl1_005,plain,
    ! [X2: $o > $o,X3: $o > $o,X4: ( $o > $o ) > $o] :
      ( ~ ( sk_ @ X2 @ X3 )
      | ~ ( X4 @ X3 )
      | ( X4 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl39,plain,
    ! [X0: $o > $o] :
      ( ~ ( ^ [Y0: $o > $o] :
              ( Y0
              @ ( ^ [Y1: $o > $o] : $false
                @ Y0 ) )
          @ X0 )
      | ( ^ [Y0: $o > $o] :
            ( Y0
            @ ( ^ [Y1: $o > $o] : $false
              @ Y0 ) )
        @ ^ [Y0: $o] : Y0 )
      | ~ ( sk_
          @ ^ [Y0: $o] : Y0
          @ X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl57,plain,
    ! [X0: $o > $o] :
      ( ~ ( X0 @ $false )
      | ~ ( sk_
          @ ^ [Y0: $o] : Y0
          @ X0 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl39]) ).

thf(zip_derived_cl5270,plain,
    ! [X1: $o] :
      ( ( '#l_lift24718' @ X1 )
      = X1 ),
    define([status(thm)]) ).

thf(zip_derived_cl1_006,plain,
    ! [X2: $o > $o,X3: $o > $o,X4: ( $o > $o ) > $o] :
      ( ~ ( sk_ @ X2 @ X3 )
      | ~ ( X4 @ X3 )
      | ( X4 @ X2 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl14,plain,
    ! [X3: $o > $o,X5: $o] :
      ( ( X3 @ X5 )
      | ~ ( X3
          @ ( $$choice
            @ ^ [Y0: $o] : ( (~) @ ( X3 @ Y0 ) ) ) ) ),
    inference('inst_choice(((^[Y0 : $o]: (((~) @ (X3 @ Y0))))))',[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl5267,plain,
    ! [X3: $o > $o,X6: $o] :
      ( ( '#l_lift24717' @ X3 @ X6 )
      = ( (~) @ ( X3 @ X6 ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl2_007,plain,
    ! [X5: $o > $o,X6: $o > $o,X7: $o > $o,X8: $o > $o,X9: ( $o > $o ) > $o,X10: ( $o > $o ) > $o,X11: ( $o > $o ) > $o] :
      ( ( sk_ @ X5 @ X6 )
      | ( sk_ @ X5 @ X7 )
      | ( sk_ @ X5 @ X8 )
      | ( sk_ @ X6 @ X7 )
      | ( sk_ @ X6 @ X8 )
      | ( sk_ @ X7 @ X8 )
      | ( X9 @ X5 )
      | ( X9 @ X6 )
      | ~ ( X9 @ X7 )
      | ( X9 @ X8 )
      | ( X10 @ X5 )
      | ( X10 @ X6 )
      | ( X10 @ X7 )
      | ~ ( X10 @ X8 )
      | ( X11 @ X8 )
      | ( X11 @ X7 )
      | ~ ( X11 @ X6 )
      | ( X11 @ X5 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl150,plain,
    ! [X0: $o > $o,X1: $o > $o,X2: $o > $o,X3: $o > $o,X4: ( $o > $o ) > $o,X5: ( $o > $o ) > $o] :
      ( ( sk_ @ X1 @ X0 )
      | ( sk_ @ X1 @ X2 )
      | ( sk_ @ X1 @ X3 )
      | ( sk_ @ X0 @ X2 )
      | ( sk_ @ X0 @ X3 )
      | ( sk_ @ X2 @ X3 )
      | ( X4 @ X1 )
      | ( X4 @ X0 )
      | ~ ( X4 @ X2 )
      | ( X4 @ X3 )
      | ( ^ [Y0: $o > $o] : ( X0 != Y0 )
        @ X1 )
      | ( ^ [Y0: $o > $o] : ( X0 != Y0 )
        @ X0 )
      | ( ^ [Y0: $o > $o] : ( X0 != Y0 )
        @ X2 )
      | ~ ( ^ [Y0: $o > $o] : ( X0 != Y0 )
          @ X3 )
      | ( X5 @ X3 )
      | ( X5 @ X2 )
      | ~ ( X5 @ X0 )
      | ( X5 @ X1 ) ),
    inference('elim_leibniz_eq_+',[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl595,plain,
    ! [X0: $o > $o,X1: $o > $o,X2: $o > $o,X3: $o > $o,X4: ( $o > $o ) > $o,X5: ( $o > $o ) > $o] :
      ( ( sk_ @ X1 @ X0 )
      | ( sk_ @ X1 @ X2 )
      | ( sk_ @ X1 @ X3 )
      | ( sk_ @ X0 @ X2 )
      | ( sk_ @ X0 @ X3 )
      | ( sk_ @ X2 @ X3 )
      | ( X4 @ X1 )
      | ( X4 @ X0 )
      | ~ ( X4 @ X2 )
      | ( X4 @ X3 )
      | ( X0 != X1 )
      | ( X0 != X0 )
      | ( X0 != X2 )
      | ~ ( ( X0 != X3 ) )
      | ( X5 @ X3 )
      | ( X5 @ X2 )
      | ~ ( X5 @ X0 )
      | ( X5 @ X1 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl150]) ).

thf(zip_derived_cl596,plain,
    ! [X0: $o > $o,X1: $o > $o,X2: $o > $o,X3: $o > $o,X4: ( $o > $o ) > $o,X5: ( $o > $o ) > $o] :
      ( ( sk_ @ X1 @ X0 )
      | ( sk_ @ X1 @ X2 )
      | ( sk_ @ X1 @ X3 )
      | ( sk_ @ X0 @ X2 )
      | ( sk_ @ X0 @ X3 )
      | ( sk_ @ X2 @ X3 )
      | ( X4 @ X1 )
      | ( X4 @ X0 )
      | ~ ( X4 @ X2 )
      | ( X4 @ X3 )
      | ( X0 != X1 )
      | ( X0 != X2 )
      | ~ ( ( X0 != X3 ) )
      | ( X5 @ X3 )
      | ( X5 @ X2 )
      | ~ ( X5 @ X0 )
      | ( X5 @ X1 ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl595]) ).

thf(zip_derived_cl597,plain,
    ! [X0: $o > $o,X1: $o > $o,X2: $o > $o,X3: $o > $o,X4: ( $o > $o ) > $o,X5: ( $o > $o ) > $o] :
      ( ( sk_ @ X1 @ X0 )
      | ( sk_ @ X1 @ X2 )
      | ( sk_ @ X1 @ X3 )
      | ( sk_ @ X0 @ X2 )
      | ( sk_ @ X0 @ X3 )
      | ( sk_ @ X2 @ X3 )
      | ( X4 @ X1 )
      | ( X4 @ X0 )
      | ~ ( X4 @ X2 )
      | ( X4 @ X3 )
      | ( X0 != X1 )
      | ( X0 != X2 )
      | ( X0 = X3 )
      | ( X5 @ X3 )
      | ( X5 @ X2 )
      | ~ ( X5 @ X0 )
      | ( X5 @ X1 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl596]) ).

thf(zip_derived_cl2749,plain,
    ! [X2: $o > $o,X16: $o] :
      ( ( X2 @ X16 )
      | ~ ( X2
          @ ( $$choice
            @ ^ [Y0: $o] : ( (~) @ ( X2 @ Y0 ) ) ) ) ),
    inference('inst_choice(((^[Y0 : $o]: (((~) @ (X2 @ Y0))))))',[status(thm)],[zip_derived_cl597]) ).

thf(zip_derived_cl5267_008,plain,
    ! [X3: $o > $o,X6: $o] :
      ( ( '#l_lift24717' @ X3 @ X6 )
      = ( (~) @ ( X3 @ X6 ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl5345,plain,
    ! [X2: $o > $o,X16: $o] :
      ( ( X2 @ X16 )
      | ~ ( X2 @ ( $$choice @ ( '#l_lift24717' @ X2 ) ) ) ),
    inference(lambda_lifting,[status(thm)],[zip_derived_cl2749,zip_derived_cl5267]) ).

thf(zip_derived_cl5346,plain,
    ! [X2: $o > $o,X16: $o] :
      ( ( X2 @ X16 )
      | ~ ( X2 @ ( '#ty_enc24716' @ ( '#l_lift24717' @ X2 ) ) ) ),
    inference(remove_ty_args,[status(thm)],[zip_derived_cl5345]) ).

thf(zip_derived_cl5347,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl5275,zip_derived_cl5266,zip_derived_cl5273,zip_derived_cl26,zip_derived_cl1,zip_derived_cl577,zip_derived_cl5270,zip_derived_cl5267,zip_derived_cl5346]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : GRA028^1 : TPTP v9.2.0. Released v3.6.0.
% 0.06/0.12  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.inh05x6oVL true
% 0.11/0.32  % Computer : n021.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Wed Oct  1 13:51:08 EDT 2025
% 0.11/0.32  % CPUTime  : 
% 0.11/0.32  % Running portfolio for 300 s
% 0.11/0.32  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.32  % Number of cores: 8
% 0.11/0.33  % Python version: Python 3.6.8
% 0.11/0.33  % Running in HO mode
% 0.45/0.59  % Total configuration time : 828
% 0.45/0.59  % Estimated wc time : 1656
% 0.45/0.59  % Estimated cpu time (8 cpus) : 207.0
% 0.50/0.71  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.50/0.71  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.50/0.71  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.50/0.71  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.50/0.71  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.50/0.71  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.50/0.72  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.51/0.76  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 169.86/22.06  % Solved by lams/40_c_ic.sh.
% 169.86/22.06  % done 449 iterations in 21.289s
% 169.86/22.06  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 169.86/22.06  % SZS output start Refutation
% See solution above
% 169.86/22.06  
% 169.86/22.06  
% 169.86/22.06  % Terminating...
% 170.52/22.18  % Runner terminated.
% 170.52/22.19  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------