TSTP Solution File: SWV446^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV446^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.NjFMN945op true

% Computer : n022.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 : Fri Sep  1 00:10:00 EDT 2023

% Result   : Timeout 295.06s 39.43s
% Output   : None 
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :   60
% Syntax   : Number of formulae    :  115 (  62 unt;  26 typ;   0 def)
%            Number of atoms       :  268 (  39 equ;   0 cnn)
%            Maximal formula atoms :   13 (   3 avg)
%            Number of connectives :  535 (  58   ~;  66   |;   0   &; 381   @)
%                                         (   0 <=>;  30  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   28 (   5 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :  139 ( 139   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   27 (  25 usr;   5 con; 0-3 aty)
%            Number of variables   :  168 (  63   ^; 105   !;   0   ?; 168   :)

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

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

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__10_type,type,
    sk__10: $i > ( $i > $o ) > $i ).

thf(sk__8_type,type,
    sk__8: $i > ( $i > $o ) > $i ).

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

thf(sk__22_type,type,
    sk__22: $i > $i ).

thf(sk__21_type,type,
    sk__21: $i ).

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

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

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

thf(sk__19_type,type,
    sk__19: $i ).

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

thf(sk__14_type,type,
    sk__14: individuals ).

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

thf(sk__20_type,type,
    sk__20: $i ).

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

thf(sk__9_type,type,
    sk__9: $i > ( $i > $o ) > $i ).

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

thf('2',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('3',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(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('4',plain,
    ( mor
    = ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
          ( ( X @ U )
          | ( Y @ U ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mor]) ).

thf('5',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('6',plain,
    ( mnot
    = ( ^ [X: $i > $o,U: $i] :
          ~ ( X @ U ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mnot]) ).

thf('7',plain,
    ( mnot
    = ( ^ [V_1: $i > $o,V_2: $i] :
          ~ ( V_1 @ V_2 ) ) ),
    define([status(thm)]) ).

thf('8',plain,
    ( mimpl
    = ( ^ [U: $i > $o,V: $i > $o] : ( mor @ ( mnot @ U ) @ V ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mimpl,'5','7']) ).

thf('9',plain,
    ( mimpl
    = ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mor @ ( mnot @ V_1 ) @ V_2 ) ) ),
    define([status(thm)]) ).

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

thf(zf_stmt_0,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__8 @ X1 @ X0 ) )
      | ( X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i > $o] :
      ( ( reli @ X0 @ ( sk__8 @ X0 @ X1 ) )
      | ( X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl37,plain,
    ! [X0: $i] :
      ( ( reli @ X0 @ X0 )
      | ( reli @ X0 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl1]) ).

thf(zip_derived_cl38,plain,
    ! [X0: $i] : ( reli @ X0 @ X0 ),
    inference(simplify,[status(thm)],[zip_derived_cl37]) ).

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

thf(zf_stmt_1,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__9 @ X1 @ X0 ) )
      | ( X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i,X1: $i > $o] :
      ( ( relr @ X0 @ ( sk__9 @ X0 @ X1 ) )
      | ( X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl50,plain,
    ! [X0: $i] :
      ( ( relr @ X0 @ X0 )
      | ( relr @ X0 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl2,zip_derived_cl3]) ).

thf(zip_derived_cl51,plain,
    ! [X0: $i] : ( relr @ X0 @ X0 ),
    inference(simplify,[status(thm)],[zip_derived_cl50]) ).

thf(bl_valid_def,axiom,
    bl_valid = mvalid ).

thf('10',plain,
    bl_valid = mvalid,
    inference(simplify_rw_rule,[status(thm)],[bl_valid_def,'1']) ).

thf('11',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('12',plain,
    ( cs4_atom
    = ( ^ [P: $i > $o] : ( mbox @ reli @ P ) ) ),
    inference(simplify_rw_rule,[status(thm)],[cs4_atom,'3']) ).

thf('13',plain,
    ( cs4_atom
    = ( ^ [V_1: $i > $o] : ( mbox @ reli @ V_1 ) ) ),
    define([status(thm)]) ).

thf('14',plain,
    ( bl_princ
    = ( ^ [P: $i > $o] : ( cs4_atom @ P ) ) ),
    inference(simplify_rw_rule,[status(thm)],[bl_princ,'13','3']) ).

thf('15',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('16',plain,
    ( cs4_box
    = ( ^ [A: $i > $o] : ( mbox @ reli @ ( mbox @ relr @ A ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[cs4_box,'3']) ).

thf('17',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('18',plain,
    ( cs4_impl
    = ( ^ [A: $i > $o,B: $i > $o] : ( mbox @ reli @ ( mimpl @ A @ B ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[cs4_impl,'3','9','5','7']) ).

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,'15','17','19','13','3','9','5','7']) ).

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','3','9','5','7']) ).

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,'13','3']) ).

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_2,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_3,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_2]) ).

thf(zip_derived_cl15,plain,
    reli @ sk__20 @ sk__21,
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl38_001,plain,
    ! [X0: $i] : ( reli @ X0 @ X0 ),
    inference(simplify,[status(thm)],[zip_derived_cl37]) ).

thf(zip_derived_cl51_002,plain,
    ! [X0: $i] : ( relr @ X0 @ X0 ),
    inference(simplify,[status(thm)],[zip_derived_cl50]) ).

thf(zip_derived_cl17,plain,
    ! [X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( relr @ X1 @ X2 )
      | ~ ( reli @ X3 @ X4 )
      | ( sk__15 @ X4 )
      | ( reli @ X3 @ ( sk__22 @ X3 ) )
      | ~ ( reli @ X2 @ X3 )
      | ~ ( reli @ sk__20 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl226,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( reli @ sk__20 @ X0 )
      | ~ ( reli @ X0 @ X1 )
      | ( reli @ X1 @ ( sk__22 @ X1 ) )
      | ( sk__15 @ X2 )
      | ~ ( reli @ X1 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl17]) ).

thf(zip_derived_cl3442,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( reli @ X1 @ X0 )
      | ( sk__15 @ X0 )
      | ( reli @ X1 @ ( sk__22 @ X1 ) )
      | ~ ( reli @ sk__20 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl226]) ).

thf(zip_derived_cl3512,plain,
    ( ~ ( reli @ sk__20 @ sk__20 )
    | ( reli @ sk__20 @ ( sk__22 @ sk__20 ) )
    | ( sk__15 @ sk__21 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl3442]) ).

thf(zip_derived_cl38_003,plain,
    ! [X0: $i] : ( reli @ X0 @ X0 ),
    inference(simplify,[status(thm)],[zip_derived_cl37]) ).

thf(zip_derived_cl16,plain,
    ~ ( sk__15 @ sk__21 ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl3518,plain,
    reli @ sk__20 @ ( sk__22 @ sk__20 ),
    inference(demod,[status(thm)],[zip_derived_cl3512,zip_derived_cl38,zip_derived_cl16]) ).

thf(zip_derived_cl19,plain,
    reli @ sk__19 @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

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

thf(zf_stmt_4,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__10 @ X0 @ X1 ) )
      | ~ ( reli @ X0 @ X2 )
      | ( X1 @ X3 )
      | ~ ( reli @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl79,plain,
    ! [X0: $i,X1: $i > $o] :
      ( ~ ( reli @ sk__20 @ X0 )
      | ( X1 @ X0 )
      | ( reli @ sk__19 @ ( sk__10 @ sk__19 @ X1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl5]) ).

thf(zip_derived_cl3528,plain,
    ! [X0: $i > $o] :
      ( ( reli @ sk__19 @ ( sk__10 @ sk__19 @ X0 ) )
      | ( X0 @ ( sk__22 @ sk__20 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3518,zip_derived_cl79]) ).

thf(zip_derived_cl3518_004,plain,
    reli @ sk__20 @ ( sk__22 @ sk__20 ),
    inference(demod,[status(thm)],[zip_derived_cl3512,zip_derived_cl38,zip_derived_cl16]) ).

thf(zip_derived_cl19_005,plain,
    reli @ sk__19 @ sk__20,
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i > $o,X1: $i,X2: $i,X3: $i] :
      ( ~ ( X0 @ ( sk__10 @ X1 @ X0 ) )
      | ~ ( reli @ X1 @ X2 )
      | ( X0 @ X3 )
      | ~ ( reli @ X2 @ X3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i,X1: $i > $o] :
      ( ~ ( reli @ sk__20 @ X0 )
      | ( X1 @ X0 )
      | ~ ( X1 @ ( sk__10 @ sk__19 @ X1 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl19,zip_derived_cl4]) ).

thf(zip_derived_cl3527,plain,
    ! [X0: $i > $o] :
      ( ~ ( X0 @ ( sk__10 @ sk__19 @ X0 ) )
      | ( X0 @ ( sk__22 @ sk__20 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3518,zip_derived_cl27]) ).

thf(zip_derived_cl4285,plain,
    ( ( reli @ sk__19 @ ( sk__22 @ sk__20 ) )
    | ( reli @ sk__19 @ ( sk__22 @ sk__20 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl3528,zip_derived_cl3527]) ).

thf(zip_derived_cl4330,plain,
    reli @ sk__19 @ ( sk__22 @ sk__20 ),
    inference(simplify,[status(thm)],[zip_derived_cl4285]) ).

thf(zip_derived_cl14,plain,
    ! [X0: $i] :
      ( ( princ_inj @ sk__14 @ X0 )
      | ~ ( reli @ sk__19 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl18,plain,
    ! [X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ( relr @ X1 @ X2 )
      | ~ ( reli @ X3 @ X4 )
      | ( sk__15 @ X4 )
      | ~ ( princ_inj @ sk__14 @ ( sk__22 @ X3 ) )
      | ~ ( reli @ X2 @ X3 )
      | ~ ( reli @ sk__20 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl233,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( reli @ sk__19 @ ( sk__22 @ X0 ) )
      | ~ ( reli @ sk__20 @ X1 )
      | ~ ( reli @ X2 @ X0 )
      | ( sk__15 @ X3 )
      | ~ ( reli @ X0 @ X3 )
      | ~ ( relr @ X1 @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl18]) ).

thf(zip_derived_cl4346,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( relr @ X1 @ X0 )
      | ~ ( reli @ sk__20 @ X2 )
      | ( sk__15 @ X2 )
      | ~ ( reli @ X0 @ sk__20 )
      | ~ ( reli @ sk__20 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl4330,zip_derived_cl233]) ).

thf(zip_derived_cl5317,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( reli @ sk__20 @ X0 )
      | ~ ( reli @ X0 @ sk__20 )
      | ( sk__15 @ X1 )
      | ~ ( reli @ sk__20 @ X1 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl51,zip_derived_cl4346]) ).

thf(zip_derived_cl5901,plain,
    ! [X0: $i] :
      ( ~ ( reli @ sk__20 @ X0 )
      | ( sk__15 @ X0 )
      | ~ ( reli @ sk__20 @ sk__20 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl38,zip_derived_cl5317]) ).

thf(zip_derived_cl38_006,plain,
    ! [X0: $i] : ( reli @ X0 @ X0 ),
    inference(simplify,[status(thm)],[zip_derived_cl37]) ).

thf(zip_derived_cl5915,plain,
    ! [X0: $i] :
      ( ~ ( reli @ sk__20 @ X0 )
      | ( sk__15 @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl5901,zip_derived_cl38]) ).

thf(zip_derived_cl16_007,plain,
    ~ ( sk__15 @ sk__21 ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl5995,plain,
    ~ ( reli @ sk__20 @ sk__21 ),
    inference('sup-',[status(thm)],[zip_derived_cl5915,zip_derived_cl16]) ).

thf(zip_derived_cl15_008,plain,
    reli @ sk__20 @ sk__21,
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl6089,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl5995,zip_derived_cl15]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWV446^1 : TPTP v8.1.2. Released v3.7.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.NjFMN945op true
% 0.15/0.36  % Computer : n022.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 : Tue Aug 29 05:16:09 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.37  % Running in HO mode
% 0.60/0.68  % Total configuration time : 828
% 0.60/0.68  % Estimated wc time : 1656
% 0.60/0.68  % Estimated cpu time (8 cpus) : 207.0
% 0.60/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.60/0.75  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.60/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.60/0.76  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.61/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.61/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.61/0.78  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.61/0.78  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.61/0.79  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.61/0.87  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 0.61/0.87  % /export/starexec/sandbox2/solver/bin/lams/15_old_s4.sh running for 30s
% 0.61/0.89  % /export/starexec/sandbox2/solver/bin/lams/15_lifting3.sh running for 30s
% 230.68/30.74  % /export/starexec/sandbox2/solver/bin/lams/33_shallow_sine.sh running for 66s
% 231.10/30.79  % /export/starexec/sandbox2/solver/bin/lams/40_e_lift.sh running for 80s
% 231.10/30.85  % /export/starexec/sandbox2/solver/bin/lams/15_lifting1.sh running for 30s
% 231.36/30.92  % /export/starexec/sandbox2/solver/bin/lams/8_new_cnf.sh running for 16s
% 295.06/39.43  % Solved by lams/15_lifting1.sh.
% 295.06/39.43  % done 433 iterations in 8.478s
% 295.06/39.43  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 295.06/39.43  % SZS output start Refutation
% See solution above
% 295.06/39.43  
% 295.06/39.43  
% 295.06/39.43  % Terminating...
% 296.88/39.69  % Runner terminated.
% 296.88/39.70  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------