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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV446^1 : TPTP v9.2.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Mma7g5AoKG true

% Computer : n011.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 05:01:12 PM UTC 2025

% Result   : Theorem 75.14s 20.71s
% Output   : Refutation 75.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   36
% Syntax   : Number of formulae    :   78 (  53 unt;   0 typ;   0 def)
%            Number of atoms       :  257 (  41 equ;  16 cnn)
%            Maximal formula atoms :   13 (   3 avg)
%            Number of connectives :  526 (  69   ~;  58   |;   0   &; 369   @)
%                                         (   0 <=>;  30  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   28 (   5 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   80 (  80   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   29 (  26 usr;   6 con; 0-3 aty)
%            Number of variables   :  186 (  73   ^; 113   !;   0   ?; 186   :)

% Comments : 
%------------------------------------------------------------------------------
thf(individuals_type,type,
    individuals: $tType ).

thf(cs4_atom_type,type,
    cs4_atom: ( $i > $o ) > $i > $o ).

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

thf(cs4_impl_type,type,
    cs4_impl: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(mor_type,type,
    mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(mnot_type,type,
    mnot: ( $i > $o ) > $i > $o ).

thf(sk__18_type,type,
    sk__18: $i > $i ).

thf(sk__16_type,type,
    sk__16: $i ).

thf(reli_type,type,
    reli: $i > $i > $o ).

thf(relr_type,type,
    relr: $i > $i > $o ).

thf(mimpl_type,type,
    mimpl: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(bl_valid_type,type,
    bl_valid: ( $i > $o ) > $o ).

thf('#l_lift6499_type',type,
    '#l_lift6499': ( $i > $o ) > $i > $o ).

thf(bl_atom_type,type,
    bl_atom: ( $i > $o ) > $i > $o ).

thf(cs4_box_type,type,
    cs4_box: ( $i > $o ) > $i > $o ).

thf(bl_impl_type,type,
    bl_impl: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(sk__17_type,type,
    sk__17: $i ).

thf(bl_says_type,type,
    bl_says: individuals > ( $i > $o ) > $i > $o ).

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

thf(bl_princ_type,type,
    bl_princ: ( $i > $o ) > $i > $o ).

thf(sk__11_type,type,
    sk__11: $i > $o ).

thf(mvalid_type,type,
    mvalid: ( $i > $o ) > $o ).

thf(princ_inj_type,type,
    princ_inj: individuals > $i > $o ).

thf(sk__10_type,type,
    sk__10: individuals ).

thf(sk__6_type,type,
    sk__6: $i > ( $i > $o ) > $i ).

thf(mbox_type,type,
    mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).

thf(sk__15_type,type,
    sk__15: $i ).

thf(bl_valid_def,axiom,
    bl_valid = mvalid ).

thf(mvalid,axiom,
    ( mvalid
    = ( ^ [P: $i > $o] :
        ! [W: $i] : ( P @ W ) ) ) ).

thf('0',plain,
    ( mvalid
    = ( ^ [P: $i > $o] :
        ! [W: $i] : ( P @ W ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mvalid]) ).

thf('1',plain,
    ( mvalid
    = ( ^ [V_1: $i > $o] :
        ! [X4: $i] : ( V_1 @ X4 ) ) ),
    define([status(thm)]) ).

thf('2',plain,
    bl_valid = mvalid,
    inference(simplify_rw_rule,[status(thm)],[bl_valid_def,'1']) ).

thf('3',plain,
    bl_valid = mvalid,
    define([status(thm)]) ).

thf(bl_says,axiom,
    ( bl_says
    = ( ^ [K: individuals,A: $i > $o] : ( cs4_box @ ( cs4_impl @ ( bl_princ @ ( princ_inj @ K ) ) @ A ) ) ) ) ).

thf(bl_princ,axiom,
    ( bl_princ
    = ( ^ [P: $i > $o] : ( cs4_atom @ P ) ) ) ).

thf(cs4_atom,axiom,
    ( cs4_atom
    = ( ^ [P: $i > $o] : ( mbox @ reli @ P ) ) ) ).

thf(mbox,axiom,
    ( mbox
    = ( ^ [R: $i > $i > $o,P: $i > $o,X: $i] :
        ! [Y: $i] :
          ( ( R @ X @ Y )
         => ( P @ Y ) ) ) ) ).

thf('4',plain,
    ( mbox
    = ( ^ [R: $i > $i > $o,P: $i > $o,X: $i] :
        ! [Y: $i] :
          ( ( R @ X @ Y )
         => ( P @ Y ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mbox]) ).

thf('5',plain,
    ( mbox
    = ( ^ [V_1: $i > $i > $o,V_2: $i > $o,V_3: $i] :
        ! [X4: $i] :
          ( ( V_1 @ V_3 @ X4 )
         => ( V_2 @ X4 ) ) ) ),
    define([status(thm)]) ).

thf('6',plain,
    ( cs4_atom
    = ( ^ [P: $i > $o] : ( mbox @ reli @ P ) ) ),
    inference(simplify_rw_rule,[status(thm)],[cs4_atom,'5']) ).

thf('7',plain,
    ( cs4_atom
    = ( ^ [V_1: $i > $o] : ( mbox @ reli @ V_1 ) ) ),
    define([status(thm)]) ).

thf('8',plain,
    ( bl_princ
    = ( ^ [P: $i > $o] : ( cs4_atom @ P ) ) ),
    inference(simplify_rw_rule,[status(thm)],[bl_princ,'7','5']) ).

thf('9',plain,
    ( bl_princ
    = ( ^ [V_1: $i > $o] : ( cs4_atom @ V_1 ) ) ),
    define([status(thm)]) ).

thf(cs4_box,axiom,
    ( cs4_box
    = ( ^ [A: $i > $o] : ( mbox @ reli @ ( mbox @ relr @ A ) ) ) ) ).

thf('10',plain,
    ( cs4_box
    = ( ^ [A: $i > $o] : ( mbox @ reli @ ( mbox @ relr @ A ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[cs4_box,'5']) ).

thf('11',plain,
    ( cs4_box
    = ( ^ [V_1: $i > $o] : ( mbox @ reli @ ( mbox @ relr @ V_1 ) ) ) ),
    define([status(thm)]) ).

thf(cs4_impl,axiom,
    ( cs4_impl
    = ( ^ [A: $i > $o,B: $i > $o] : ( mbox @ reli @ ( mimpl @ A @ B ) ) ) ) ).

thf(mimpl,axiom,
    ( mimpl
    = ( ^ [U: $i > $o,V: $i > $o] : ( mor @ ( mnot @ U ) @ V ) ) ) ).

thf(mor,axiom,
    ( mor
    = ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
          ( ( X @ U )
          | ( Y @ U ) ) ) ) ).

thf('12',plain,
    ( mor
    = ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
          ( ( X @ U )
          | ( Y @ U ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mor]) ).

thf('13',plain,
    ( mor
    = ( ^ [V_1: $i > $o,V_2: $i > $o,V_3: $i] :
          ( ( V_1 @ V_3 )
          | ( V_2 @ V_3 ) ) ) ),
    define([status(thm)]) ).

thf(mnot,axiom,
    ( mnot
    = ( ^ [X: $i > $o,U: $i] :
          ~ ( X @ U ) ) ) ).

thf('14',plain,
    ( mnot
    = ( ^ [X: $i > $o,U: $i] :
          ~ ( X @ U ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mnot]) ).

thf('15',plain,
    ( mnot
    = ( ^ [V_1: $i > $o,V_2: $i] :
          ~ ( V_1 @ V_2 ) ) ),
    define([status(thm)]) ).

thf('16',plain,
    ( mimpl
    = ( ^ [U: $i > $o,V: $i > $o] : ( mor @ ( mnot @ U ) @ V ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mimpl,'13','15']) ).

thf('17',plain,
    ( mimpl
    = ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mor @ ( mnot @ V_1 ) @ V_2 ) ) ),
    define([status(thm)]) ).

thf('18',plain,
    ( cs4_impl
    = ( ^ [A: $i > $o,B: $i > $o] : ( mbox @ reli @ ( mimpl @ A @ B ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[cs4_impl,'5','17','13','15']) ).

thf('19',plain,
    ( cs4_impl
    = ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mbox @ reli @ ( mimpl @ V_1 @ V_2 ) ) ) ),
    define([status(thm)]) ).

thf('20',plain,
    ( bl_says
    = ( ^ [K: individuals,A: $i > $o] : ( cs4_box @ ( cs4_impl @ ( bl_princ @ ( princ_inj @ K ) ) @ A ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[bl_says,'9','11','19','7','5','17','13','15']) ).

thf('21',plain,
    ( bl_says
    = ( ^ [V_1: individuals,V_2: $i > $o] : ( cs4_box @ ( cs4_impl @ ( bl_princ @ ( princ_inj @ V_1 ) ) @ V_2 ) ) ) ),
    define([status(thm)]) ).

thf(bl_impl,axiom,
    ( bl_impl
    = ( ^ [A: $i > $o,B: $i > $o] : ( cs4_impl @ A @ B ) ) ) ).

thf('22',plain,
    ( bl_impl
    = ( ^ [A: $i > $o,B: $i > $o] : ( cs4_impl @ A @ B ) ) ),
    inference(simplify_rw_rule,[status(thm)],[bl_impl,'19','5','17','13','15']) ).

thf('23',plain,
    ( bl_impl
    = ( ^ [V_1: $i > $o,V_2: $i > $o] : ( cs4_impl @ V_1 @ V_2 ) ) ),
    define([status(thm)]) ).

thf(bl_atom,axiom,
    ( bl_atom
    = ( ^ [P: $i > $o] : ( cs4_atom @ P ) ) ) ).

thf('24',plain,
    ( bl_atom
    = ( ^ [P: $i > $o] : ( cs4_atom @ P ) ) ),
    inference(simplify_rw_rule,[status(thm)],[bl_atom,'7','5']) ).

thf('25',plain,
    ( bl_atom
    = ( ^ [V_1: $i > $o] : ( cs4_atom @ V_1 ) ) ),
    define([status(thm)]) ).

thf(bl_conceit,conjecture,
    ! [K: individuals,A: $i > $o] : ( bl_valid @ ( bl_says @ K @ ( bl_impl @ ( bl_says @ K @ ( bl_atom @ A ) ) @ ( bl_atom @ A ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ! [X4: individuals,X6: $i > $o,X8: $i,X10: $i] :
      ( ( reli @ X8 @ X10 )
     => ! [X12: $i] :
          ( ( relr @ X10 @ X12 )
         => ! [X14: $i] :
              ( ( reli @ X12 @ X14 )
             => ( ~ ! [X16: $i] :
                      ( ( reli @ X14 @ X16 )
                     => ( princ_inj @ X4 @ X16 ) )
                | ! [X18: $i] :
                    ( ( reli @ X14 @ X18 )
                   => ( ~ ! [X20: $i] :
                            ( ( reli @ X18 @ X20 )
                           => ! [X22: $i] :
                                ( ( relr @ X20 @ X22 )
                               => ! [X24: $i] :
                                    ( ( reli @ X22 @ X24 )
                                   => ( ~ ! [X26: $i] :
                                            ( ( reli @ X24 @ X26 )
                                           => ( princ_inj @ X4 @ X26 ) )
                                      | ! [X28: $i] :
                                          ( ( reli @ X24 @ X28 )
                                         => ( X6 @ X28 ) ) ) ) ) )
                      | ! [X30: $i] :
                          ( ( reli @ X18 @ X30 )
                         => ( X6 @ X30 ) ) ) ) ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ! [X4: individuals,X6: $i > $o,X8: $i,X10: $i] :
        ( ( reli @ X8 @ X10 )
       => ! [X12: $i] :
            ( ( relr @ X10 @ X12 )
           => ! [X14: $i] :
                ( ( reli @ X12 @ X14 )
               => ( ~ ! [X16: $i] :
                        ( ( reli @ X14 @ X16 )
                       => ( princ_inj @ X4 @ X16 ) )
                  | ! [X18: $i] :
                      ( ( reli @ X14 @ X18 )
                     => ( ~ ! [X20: $i] :
                              ( ( reli @ X18 @ X20 )
                             => ! [X22: $i] :
                                  ( ( relr @ X20 @ X22 )
                                 => ! [X24: $i] :
                                      ( ( reli @ X22 @ X24 )
                                     => ( ~ ! [X26: $i] :
                                              ( ( reli @ X24 @ X26 )
                                             => ( princ_inj @ X4 @ X26 ) )
                                        | ! [X28: $i] :
                                            ( ( reli @ X24 @ X28 )
                                           => ( X6 @ X28 ) ) ) ) ) )
                        | ! [X30: $i] :
                            ( ( reli @ X18 @ X30 )
                           => ( X6 @ X30 ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl19,plain,
    reli @ sk__15 @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i] :
      ( ( princ_inj @ sk__10 @ X0 )
      | ~ ( reli @ sk__15 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl18,plain,
    ! [X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( relr @ X1 @ X2 )
      | ~ ( reli @ X3 @ X4 )
      | ( sk__11 @ X4 )
      | ~ ( princ_inj @ sk__10 @ ( sk__18 @ X3 ) )
      | ~ ( reli @ X2 @ X3 )
      | ~ ( reli @ sk__16 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl718,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( reli @ sk__15 @ ( sk__18 @ X0 ) )
      | ~ ( reli @ sk__16 @ X1 )
      | ~ ( reli @ X2 @ X0 )
      | ( sk__11 @ X3 )
      | ~ ( reli @ X0 @ X3 )
      | ~ ( relr @ X1 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl18]) ).

thf(zip_derived_cl15,plain,
    reli @ sk__16 @ sk__17,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(refl_axiom_r,axiom,
    ! [A: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ relr @ A ) @ A ) ) ).

thf(zf_stmt_2,axiom,
    ! [X4: $i > $o,X6: $i] :
      ( ~ ! [X8: $i] :
            ( ( relr @ X6 @ X8 )
           => ( X4 @ X8 ) )
      | ( X4 @ X6 ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: $i > $o,X1: $i] :
      ( ~ ( X0 @ ( sk__5 @ X1 @ X0 ) )
      | ( X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl77,plain,
    ! [X0: $i > $o,X1: $i] :
      ( ~ ( ^ [Y0: $i] : ( (~) @ ( X0 @ Y0 ) )
          @ ( sk__5 @ X1
            @ ^ [Y0: $i] : ( (~) @ ( X0 @ Y0 ) ) ) )
      | ( ^ [Y0: $i] : ( (~) @ ( X0 @ Y0 ) )
        @ X1 ) ),
    inference('ho.refine',[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl93,plain,
    ! [X0: $i > $o,X1: $i] :
      ( ~ ( (~)
          @ ( X0
            @ ( sk__5 @ X1
              @ ^ [Y0: $i] : ( (~) @ ( X0 @ Y0 ) ) ) ) )
      | ( (~) @ ( X0 @ X1 ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl77]) ).

thf(zip_derived_cl94,plain,
    ! [X0: $i > $o,X1: $i] :
      ( ( X0
        @ ( sk__5 @ X1
          @ ^ [Y0: $i] : ( (~) @ ( X0 @ Y0 ) ) ) )
      | ~ ( X0 @ X1 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl93]) ).

thf(zip_derived_cl12955,plain,
    ! [X0: $i > $o,X2: $i] :
      ( ( '#l_lift6499' @ X0 @ X2 )
      = ( (~) @ ( X0 @ X2 ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl19_001,plain,
    reli @ sk__15 @ sk__16,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(trans_axiom_i,axiom,
    ! [A: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ reli @ A ) @ ( mbox @ reli @ ( mbox @ reli @ A ) ) ) ) ).

thf(zf_stmt_3,axiom,
    ! [X4: $i > $o,X6: $i] :
      ( ~ ! [X8: $i] :
            ( ( reli @ X6 @ X8 )
           => ( X4 @ X8 ) )
      | ! [X10: $i] :
          ( ( reli @ X6 @ X10 )
         => ! [X12: $i] :
              ( ( reli @ X10 @ X12 )
             => ( X4 @ X12 ) ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i > $o,X2: $i,X3: $i] :
      ( ( reli @ X0 @ ( sk__6 @ X0 @ X1 ) )
      | ~ ( reli @ X0 @ X2 )
      | ( X1 @ X3 )
      | ~ ( reli @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl306,plain,
    ! [X0: $i,X1: $i > $o] :
      ( ~ ( reli @ sk__16 @ X0 )
      | ( X1 @ X0 )
      | ( reli @ sk__15 @ ( sk__6 @ sk__15 @ X1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl5]) ).

thf(zip_derived_cl16,plain,
    ~ ( sk__11 @ sk__17 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i > $o,X1: $i,X2: $i,X3: $i] :
      ( ~ ( X0 @ ( sk__6 @ X1 @ X0 ) )
      | ~ ( reli @ X1 @ X2 )
      | ( X0 @ X3 )
      | ~ ( reli @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl150,plain,
    ! [X0: $i > $o,X1: $i,X2: $i,X3: $i] :
      ( ~ ( ^ [Y0: $i] : ( (~) @ ( X0 @ Y0 ) )
          @ ( sk__6 @ X1
            @ ^ [Y0: $i] : ( (~) @ ( X0 @ Y0 ) ) ) )
      | ~ ( reli @ X1 @ X2 )
      | ( ^ [Y0: $i] : ( (~) @ ( X0 @ Y0 ) )
        @ X3 )
      | ~ ( reli @ X2 @ X3 ) ),
    inference('ho.refine',[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl159,plain,
    ! [X0: $i > $o,X1: $i,X2: $i,X3: $i] :
      ( ~ ( (~)
          @ ( X0
            @ ( sk__6 @ X1
              @ ^ [Y0: $i] : ( (~) @ ( X0 @ Y0 ) ) ) ) )
      | ~ ( reli @ X1 @ X2 )
      | ( (~) @ ( X0 @ X3 ) )
      | ~ ( reli @ X2 @ X3 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl150]) ).

thf(zip_derived_cl160,plain,
    ! [X0: $i > $o,X1: $i,X2: $i,X3: $i] :
      ( ( X0
        @ ( sk__6 @ X1
          @ ^ [Y0: $i] : ( (~) @ ( X0 @ Y0 ) ) ) )
      | ~ ( reli @ X1 @ X2 )
      | ~ ( X0 @ X3 )
      | ~ ( reli @ X2 @ X3 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl159]) ).

thf(zip_derived_cl12955_002,plain,
    ! [X0: $i > $o,X2: $i] :
      ( ( '#l_lift6499' @ X0 @ X2 )
      = ( (~) @ ( X0 @ X2 ) ) ),
    define([status(thm)]) ).

thf(zip_derived_cl12968,plain,
    ! [X0: $i > $o,X1: $i,X2: $i,X3: $i] :
      ( ( X0 @ ( sk__6 @ X1 @ ( '#l_lift6499' @ X0 ) ) )
      | ~ ( reli @ X1 @ X2 )
      | ~ ( X0 @ X3 )
      | ~ ( reli @ X2 @ X3 ) ),
    inference(lambda_lifting,[status(thm)],[zip_derived_cl160,zip_derived_cl12955]) ).

thf(refl_axiom_i,axiom,
    ! [A: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ reli @ A ) @ A ) ) ).

thf(zf_stmt_4,axiom,
    ! [X4: $i > $o,X6: $i] :
      ( ~ ! [X8: $i] :
            ( ( reli @ X6 @ X8 )
           => ( X4 @ X8 ) )
      | ( X4 @ X6 ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i > $o,X1: $i] :
      ( ~ ( X0 @ ( sk__4 @ X1 @ X0 ) )
      | ( X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i > $o] :
      ( ( reli @ X0 @ ( sk__4 @ X0 @ X1 ) )
      | ( X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl123,plain,
    ! [X0: $i] :
      ( ( reli @ X0 @ X0 )
      | ( reli @ X0 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl1]) ).

thf(zip_derived_cl136,plain,
    ! [X0: $i] : ( reli @ X0 @ X0 ),
    inference(simplify,[status(thm)],[zip_derived_cl123]) ).

thf(zip_derived_cl2_003,plain,
    ! [X0: $i > $o,X1: $i] :
      ( ~ ( X0 @ ( sk__5 @ X1 @ X0 ) )
      | ( X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i > $o] :
      ( ( relr @ X0 @ ( sk__5 @ X0 @ X1 ) )
      | ( X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl234,plain,
    ! [X0: $i] :
      ( ( relr @ X0 @ X0 )
      | ( relr @ X0 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl3]) ).

thf(zip_derived_cl249,plain,
    ! [X0: $i] : ( relr @ X0 @ X0 ),
    inference(simplify,[status(thm)],[zip_derived_cl234]) ).

thf(zip_derived_cl17,plain,
    ! [X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( relr @ X1 @ X2 )
      | ~ ( reli @ X3 @ X4 )
      | ( sk__11 @ X4 )
      | ( reli @ X3 @ ( sk__18 @ X3 ) )
      | ~ ( reli @ X2 @ X3 )
      | ~ ( reli @ sk__16 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl12978,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl19,zip_derived_cl718,zip_derived_cl15,zip_derived_cl12955,zip_derived_cl306,zip_derived_cl16,zip_derived_cl12968,zip_derived_cl136,zip_derived_cl249,zip_derived_cl17]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.90  % Problem  : SWV446^1 : TPTP v9.2.0. Released v3.7.0.
% 0.08/0.93  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Mma7g5AoKG true
% 0.12/1.32  % Computer : n011.cluster.edu
% 0.12/1.32  % Model    : x86_64 x86_64
% 0.12/1.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/1.32  % Memory   : 8042.1875MB
% 0.12/1.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/1.32  % CPULimit : 300
% 0.12/1.32  % WCLimit  : 300
% 0.12/1.32  % DateTime : Wed Oct  1 12:32:54 EDT 2025
% 0.12/1.34  % CPUTime  : 
% 0.12/1.34  % Running portfolio for 300 s
% 0.12/1.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/1.36  % Number of cores: 8
% 0.14/1.37  % Python version: Python 3.6.8
% 0.14/1.38  % Running in HO mode
% 0.38/1.76  % Total configuration time : 828
% 0.38/1.76  % Estimated wc time : 1656
% 0.38/1.76  % Estimated cpu time (8 cpus) : 207.0
% 0.39/1.93  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.41/2.05  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.41/2.10  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.41/2.13  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.41/2.13  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.41/2.14  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.41/2.15  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.41/2.15  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.29/2.31  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 1.59/2.44  % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 1.63/2.48  % /export/starexec/sandbox/solver/bin/lams/15_old_s4.sh running for 30s
% 1.91/2.68  % /export/starexec/sandbox/solver/bin/lams/15_lifting3.sh running for 30s
% 75.14/20.71  % Solved by lams/40_noforms.sh.
% 75.14/20.71  % done 805 iterations in 18.416s
% 75.14/20.71  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 75.14/20.71  % SZS output start Refutation
% See solution above
% 75.14/20.71  
% 75.14/20.71  
% 75.14/20.71  % Terminating...
% 75.83/20.94  % Runner terminated.
% 75.83/20.94  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------