TSTP Solution File: SWV436^4 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV436^4 : TPTP v8.1.2. Released v3.6.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.c0cfZniQ8n true

% Computer : n007.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 00:09:57 EDT 2023

% Result   : Theorem 3.87s 1.47s
% Output   : Refutation 3.87s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   53
% Syntax   : Number of formulae    :  136 (  55 unt;  19 typ;   0 def)
%            Number of atoms       :  504 (  36 equ;  23 cnn)
%            Maximal formula atoms :   14 (   4 avg)
%            Number of connectives : 1031 ( 110   ~; 150   |;   0   &; 634   @)
%                                         (   0 <=>;  78  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   6 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  110 ( 110   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   23 (  19 usr;   5 con; 0-3 aty)
%                                         (  59  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  261 ( 116   ^; 145   !;   0   ?; 261   :)

% Comments : 
%------------------------------------------------------------------------------
thf(mfalse_type,type,
    mfalse: $i > $o ).

thf(icl_says_type,type,
    icl_says: ( $i > $o ) > ( $i > $o ) > $i > $o ).

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

thf(deletefile1_type,type,
    deletefile1: $i > $o ).

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

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

thf(admin_type,type,
    admin: $i > $o ).

thf(rel_type,type,
    rel: $i > $i > $o ).

thf(icl_atom_type,type,
    icl_atom: ( $i > $o ) > $i > $o ).

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

thf(icl_impl_type,type,
    icl_impl: ( $i > $o ) > ( $i > $o ) > $i > $o ).

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

thf(icl_princ_type,type,
    icl_princ: ( $i > $o ) > $i > $o ).

thf(bob_type,type,
    bob: $i > $o ).

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

thf('#sk7_type',type,
    '#sk7': ( $i > $o ) > $i > $i ).

thf(icl_false_type,type,
    icl_false: $i > $o ).

thf(iclval_type,type,
    iclval: ( $i > $o ) > $o ).

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

thf(icl_s4_valid,axiom,
    ( iclval
    = ( ^ [X: $i > $o] : ( mvalid @ X ) ) ) ).

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,
    ( iclval
    = ( ^ [X: $i > $o] : ( mvalid @ X ) ) ),
    inference(simplify_rw_rule,[status(thm)],[icl_s4_valid,'1']) ).

thf('3',plain,
    ( iclval
    = ( ^ [V_1: $i > $o] : ( mvalid @ V_1 ) ) ),
    define([status(thm)]) ).

thf(icl_atom,axiom,
    ( icl_atom
    = ( ^ [P: $i > $o] : ( mbox @ rel @ 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,
    ( icl_atom
    = ( ^ [P: $i > $o] : ( mbox @ rel @ P ) ) ),
    inference(simplify_rw_rule,[status(thm)],[icl_atom,'5']) ).

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

thf(ex3,conjecture,
    iclval @ ( icl_atom @ deletefile1 ) ).

thf(zf_stmt_0,conjecture,
    ! [X4: $i,X6: $i] :
      ( ( rel @ X4 @ X6 )
     => ( deletefile1 @ X6 ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ! [X4: $i,X6: $i] :
        ( ( rel @ X4 @ X6 )
       => ( deletefile1 @ X6 ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5,plain,
    ~ ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( rel @ Y0 @ Y1 )
             => ( deletefile1 @ Y1 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl6,plain,
    ~ ( !!
      @ ^ [Y0: $i] :
          ( ( rel @ '#sk1' @ Y0 )
         => ( deletefile1 @ Y0 ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl7,plain,
    ~ ( ( rel @ '#sk1' @ '#sk2' )
     => ( deletefile1 @ '#sk2' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl8,plain,
    rel @ '#sk1' @ '#sk2',
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).

thf(icl_says,axiom,
    ( icl_says
    = ( ^ [A: $i > $o,S: $i > $o] : ( mbox @ rel @ ( mor @ A @ S ) ) ) ) ).

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

thf('8',plain,
    ( mor
    = ( ^ [X: $i > $o,Y: $i > $o,U: $i] :
          ( ( X @ U )
          | ( Y @ U ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mor]) ).

thf('9',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('10',plain,
    ( icl_says
    = ( ^ [A: $i > $o,S: $i > $o] : ( mbox @ rel @ ( mor @ A @ S ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[icl_says,'5','9']) ).

thf('11',plain,
    ( icl_says
    = ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mbox @ rel @ ( mor @ V_1 @ V_2 ) ) ) ),
    define([status(thm)]) ).

thf(icl_false,axiom,
    icl_false = mfalse ).

thf(mfalse,axiom,
    ( mfalse
    = ( ^ [X: $i] : $false ) ) ).

thf('12',plain,
    ( mfalse
    = ( ^ [X: $i] : $false ) ),
    inference(simplify_rw_rule,[status(thm)],[mfalse]) ).

thf('13',plain,
    ( mfalse
    = ( ^ [V_1: $i] : $false ) ),
    define([status(thm)]) ).

thf('14',plain,
    icl_false = mfalse,
    inference(simplify_rw_rule,[status(thm)],[icl_false,'13']) ).

thf('15',plain,
    icl_false = mfalse,
    define([status(thm)]) ).

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

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

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

thf('16',plain,
    ( mnot
    = ( ^ [X: $i > $o,U: $i] :
          ~ ( X @ U ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mnot]) ).

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

thf('18',plain,
    ( mimpl
    = ( ^ [U: $i > $o,V: $i > $o] : ( mor @ ( mnot @ U ) @ V ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mimpl,'9','17']) ).

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

thf('20',plain,
    ( icl_impl
    = ( ^ [A: $i > $o,B: $i > $o] : ( mbox @ rel @ ( mimpl @ A @ B ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[icl_impl,'5','19','9','17']) ).

thf('21',plain,
    ( icl_impl
    = ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mbox @ rel @ ( mimpl @ V_1 @ V_2 ) ) ) ),
    define([status(thm)]) ).

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

thf('22',plain,
    ( icl_princ
    = ( ^ [P: $i > $o] : P ) ),
    inference(simplify_rw_rule,[status(thm)],[icl_princ]) ).

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

thf(ax1,axiom,
    iclval @ ( icl_says @ ( icl_impl @ ( icl_princ @ admin ) @ icl_false ) @ ( icl_atom @ deletefile1 ) ) ).

thf(zf_stmt_2,axiom,
    ! [X4: $i,X6: $i] :
      ( ( rel @ X4 @ X6 )
     => ( ! [X10: $i] :
            ( ( rel @ X6 @ X10 )
           => ( deletefile1 @ X10 ) )
        | ! [X8: $i] :
            ( ( rel @ X6 @ X8 )
           => ~ ( admin @ X8 ) ) ) ) ).

thf(zip_derived_cl2,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( ( rel @ Y0 @ Y1 )
           => ( ( !!
                @ ^ [Y2: $i] :
                    ( ( rel @ Y1 @ Y2 )
                   => ( deletefile1 @ Y2 ) ) )
              | ( !!
                @ ^ [Y2: $i] :
                    ( ( rel @ Y1 @ Y2 )
                   => ( (~) @ ( admin @ Y2 ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl47,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( rel @ X2 @ Y0 )
         => ( ( !!
              @ ^ [Y1: $i] :
                  ( ( rel @ Y0 @ Y1 )
                 => ( deletefile1 @ Y1 ) ) )
            | ( !!
              @ ^ [Y1: $i] :
                  ( ( rel @ Y0 @ Y1 )
                 => ( (~) @ ( admin @ Y1 ) ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl48,plain,
    ! [X2: $i,X4: $i] :
      ( ( rel @ X2 @ X4 )
     => ( ( !!
          @ ^ [Y0: $i] :
              ( ( rel @ X4 @ Y0 )
             => ( deletefile1 @ Y0 ) ) )
        | ( !!
          @ ^ [Y0: $i] :
              ( ( rel @ X4 @ Y0 )
             => ( (~) @ ( admin @ Y0 ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl47]) ).

thf(zip_derived_cl49,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( rel @ X2 @ X4 )
      | ( !!
        @ ^ [Y0: $i] :
            ( ( rel @ X4 @ Y0 )
           => ( deletefile1 @ Y0 ) ) )
      | ( !!
        @ ^ [Y0: $i] :
            ( ( rel @ X4 @ Y0 )
           => ( (~) @ ( admin @ Y0 ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl48]) ).

thf(zip_derived_cl50,plain,
    ! [X2: $i,X4: $i] :
      ( ( !!
        @ ^ [Y0: $i] :
            ( ( rel @ X4 @ Y0 )
           => ( deletefile1 @ Y0 ) ) )
      | ( !!
        @ ^ [Y0: $i] :
            ( ( rel @ X4 @ Y0 )
           => ( (~) @ ( admin @ Y0 ) ) ) )
      | ~ ( rel @ X2 @ X4 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl49]) ).

thf(zip_derived_cl51,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ( ( rel @ X4 @ X6 )
       => ( deletefile1 @ X6 ) )
      | ~ ( rel @ X2 @ X4 )
      | ( !!
        @ ^ [Y0: $i] :
            ( ( rel @ X4 @ Y0 )
           => ( (~) @ ( admin @ Y0 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl50]) ).

thf(zip_derived_cl52,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( rel @ X4 @ X6 )
      | ( deletefile1 @ X6 )
      | ( !!
        @ ^ [Y0: $i] :
            ( ( rel @ X4 @ Y0 )
           => ( (~) @ ( admin @ Y0 ) ) ) )
      | ~ ( rel @ X2 @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl51]) ).

thf(zip_derived_cl53,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i] :
      ( ( ( rel @ X4 @ X8 )
       => ( (~) @ ( admin @ X8 ) ) )
      | ~ ( rel @ X2 @ X4 )
      | ( deletefile1 @ X6 )
      | ~ ( rel @ X4 @ X6 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl52]) ).

thf(zip_derived_cl54,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i] :
      ( ~ ( rel @ X4 @ X8 )
      | ~ ( admin @ X8 )
      | ~ ( rel @ X4 @ X6 )
      | ( deletefile1 @ X6 )
      | ~ ( rel @ X2 @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl53]) ).

thf(zip_derived_cl58,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rel @ X0 @ X0 )
      | ( deletefile1 @ X1 )
      | ~ ( rel @ X0 @ X1 )
      | ~ ( admin @ X0 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl54]) ).

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

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

thf(zip_derived_cl0,plain,
    ( !!
    @ ^ [Y0: $i > $o] :
        ( !!
        @ ^ [Y1: $i] :
            ( ( Y0 @ Y1 )
            | ( (~)
              @ ( !!
                @ ^ [Y2: $i] :
                    ( ( rel @ Y1 @ Y2 )
                   => ( Y0 @ Y2 ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(zip_derived_cl10,plain,
    ! [X2: $i > $o] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( X2 @ Y0 )
          | ( (~)
            @ ( !!
              @ ^ [Y1: $i] :
                  ( ( rel @ Y0 @ Y1 )
                 => ( X2 @ Y1 ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl11,plain,
    ! [X2: $i > $o,X4: $i] :
      ( ( X2 @ X4 )
      | ( (~)
        @ ( !!
          @ ^ [Y0: $i] :
              ( ( rel @ X4 @ Y0 )
             => ( X2 @ Y0 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl12,plain,
    ! [X2: $i > $o,X4: $i] :
      ( ( X2 @ X4 )
      | ~ ( !!
          @ ^ [Y0: $i] :
              ( ( rel @ X4 @ Y0 )
             => ( X2 @ Y0 ) ) ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl13,plain,
    ! [X2: $i > $o,X4: $i] :
      ( ~ ( ( rel @ X4 @ ( '#sk7' @ X2 @ X4 ) )
         => ( X2 @ ( '#sk7' @ X2 @ X4 ) ) )
      | ( X2 @ X4 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl14,plain,
    ! [X2: $i > $o,X4: $i] :
      ( ( rel @ X4 @ ( '#sk7' @ X2 @ X4 ) )
      | ( X2 @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl15,plain,
    ! [X2: $i > $o,X4: $i] :
      ( ~ ( X2 @ ( '#sk7' @ X2 @ X4 ) )
      | ( X2 @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl135,plain,
    ! [X0: $i] :
      ( ( rel @ X0 @ X0 )
      | ( rel @ X0 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl15]) ).

thf(zip_derived_cl157,plain,
    ! [X0: $i] : ( rel @ X0 @ X0 ),
    inference(simplify,[status(thm)],[zip_derived_cl135]) ).

thf(zip_derived_cl473,plain,
    ! [X0: $i,X1: $i] :
      ( ( deletefile1 @ X1 )
      | ~ ( rel @ X0 @ X1 )
      | ~ ( admin @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl58,zip_derived_cl157]) ).

thf(zip_derived_cl474,plain,
    ( ~ ( admin @ '#sk1' )
    | ( deletefile1 @ '#sk2' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl473]) ).

thf(zip_derived_cl9,plain,
    ~ ( deletefile1 @ '#sk2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl489,plain,
    ~ ( admin @ '#sk1' ),
    inference(demod,[status(thm)],[zip_derived_cl474,zip_derived_cl9]) ).

thf(zip_derived_cl8_001,plain,
    rel @ '#sk1' @ '#sk2',
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl157_002,plain,
    ! [X0: $i] : ( rel @ X0 @ X0 ),
    inference(simplify,[status(thm)],[zip_derived_cl135]) ).

thf(zip_derived_cl8_003,plain,
    rel @ '#sk1' @ '#sk2',
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).

thf(ax2,axiom,
    iclval @ ( icl_says @ ( icl_princ @ admin ) @ ( icl_says @ ( icl_impl @ ( icl_princ @ bob ) @ ( icl_princ @ admin ) ) @ ( icl_atom @ deletefile1 ) ) ) ).

thf(zf_stmt_4,axiom,
    ! [X4: $i,X6: $i] :
      ( ( rel @ X4 @ X6 )
     => ( ! [X8: $i] :
            ( ( rel @ X6 @ X8 )
           => ( ! [X12: $i] :
                  ( ( rel @ X8 @ X12 )
                 => ( deletefile1 @ X12 ) )
              | ! [X10: $i] :
                  ( ( rel @ X8 @ X10 )
                 => ( ( admin @ X10 )
                    | ~ ( bob @ X10 ) ) ) ) )
        | ( admin @ X6 ) ) ) ).

thf(zip_derived_cl3,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( ( rel @ Y0 @ Y1 )
           => ( ( !!
                @ ^ [Y2: $i] :
                    ( ( rel @ Y1 @ Y2 )
                   => ( ( !!
                        @ ^ [Y3: $i] :
                            ( ( rel @ Y2 @ Y3 )
                           => ( deletefile1 @ Y3 ) ) )
                      | ( !!
                        @ ^ [Y3: $i] :
                            ( ( rel @ Y2 @ Y3 )
                           => ( ( admin @ Y3 )
                              | ( (~) @ ( bob @ Y3 ) ) ) ) ) ) ) )
              | ( admin @ Y1 ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl90,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( rel @ X2 @ Y0 )
         => ( ( !!
              @ ^ [Y1: $i] :
                  ( ( rel @ Y0 @ Y1 )
                 => ( ( !!
                      @ ^ [Y2: $i] :
                          ( ( rel @ Y1 @ Y2 )
                         => ( deletefile1 @ Y2 ) ) )
                    | ( !!
                      @ ^ [Y2: $i] :
                          ( ( rel @ Y1 @ Y2 )
                         => ( ( admin @ Y2 )
                            | ( (~) @ ( bob @ Y2 ) ) ) ) ) ) ) )
            | ( admin @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl91,plain,
    ! [X2: $i,X4: $i] :
      ( ( rel @ X2 @ X4 )
     => ( ( !!
          @ ^ [Y0: $i] :
              ( ( rel @ X4 @ Y0 )
             => ( ( !!
                  @ ^ [Y1: $i] :
                      ( ( rel @ Y0 @ Y1 )
                     => ( deletefile1 @ Y1 ) ) )
                | ( !!
                  @ ^ [Y1: $i] :
                      ( ( rel @ Y0 @ Y1 )
                     => ( ( admin @ Y1 )
                        | ( (~) @ ( bob @ Y1 ) ) ) ) ) ) ) )
        | ( admin @ X4 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl90]) ).

thf(zip_derived_cl92,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( rel @ X2 @ X4 )
      | ( !!
        @ ^ [Y0: $i] :
            ( ( rel @ X4 @ Y0 )
           => ( ( !!
                @ ^ [Y1: $i] :
                    ( ( rel @ Y0 @ Y1 )
                   => ( deletefile1 @ Y1 ) ) )
              | ( !!
                @ ^ [Y1: $i] :
                    ( ( rel @ Y0 @ Y1 )
                   => ( ( admin @ Y1 )
                      | ( (~) @ ( bob @ Y1 ) ) ) ) ) ) ) )
      | ( admin @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl91]) ).

thf(zip_derived_cl93,plain,
    ! [X2: $i,X4: $i] :
      ( ( !!
        @ ^ [Y0: $i] :
            ( ( rel @ X4 @ Y0 )
           => ( ( !!
                @ ^ [Y1: $i] :
                    ( ( rel @ Y0 @ Y1 )
                   => ( deletefile1 @ Y1 ) ) )
              | ( !!
                @ ^ [Y1: $i] :
                    ( ( rel @ Y0 @ Y1 )
                   => ( ( admin @ Y1 )
                      | ( (~) @ ( bob @ Y1 ) ) ) ) ) ) ) )
      | ( admin @ X4 )
      | ~ ( rel @ X2 @ X4 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl92]) ).

thf(zip_derived_cl94,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ( ( rel @ X4 @ X6 )
       => ( ( !!
            @ ^ [Y0: $i] :
                ( ( rel @ X6 @ Y0 )
               => ( deletefile1 @ Y0 ) ) )
          | ( !!
            @ ^ [Y0: $i] :
                ( ( rel @ X6 @ Y0 )
               => ( ( admin @ Y0 )
                  | ( (~) @ ( bob @ Y0 ) ) ) ) ) ) )
      | ~ ( rel @ X2 @ X4 )
      | ( admin @ X4 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl93]) ).

thf(zip_derived_cl95,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( rel @ X4 @ X6 )
      | ( !!
        @ ^ [Y0: $i] :
            ( ( rel @ X6 @ Y0 )
           => ( deletefile1 @ Y0 ) ) )
      | ( !!
        @ ^ [Y0: $i] :
            ( ( rel @ X6 @ Y0 )
           => ( ( admin @ Y0 )
              | ( (~) @ ( bob @ Y0 ) ) ) ) )
      | ( admin @ X4 )
      | ~ ( rel @ X2 @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl94]) ).

thf(zip_derived_cl96,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ( !!
        @ ^ [Y0: $i] :
            ( ( rel @ X6 @ Y0 )
           => ( deletefile1 @ Y0 ) ) )
      | ( !!
        @ ^ [Y0: $i] :
            ( ( rel @ X6 @ Y0 )
           => ( ( admin @ Y0 )
              | ( (~) @ ( bob @ Y0 ) ) ) ) )
      | ~ ( rel @ X2 @ X4 )
      | ( admin @ X4 )
      | ~ ( rel @ X4 @ X6 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl95]) ).

thf(zip_derived_cl97,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i] :
      ( ( ( rel @ X6 @ X8 )
       => ( deletefile1 @ X8 ) )
      | ~ ( rel @ X4 @ X6 )
      | ( admin @ X4 )
      | ~ ( rel @ X2 @ X4 )
      | ( !!
        @ ^ [Y0: $i] :
            ( ( rel @ X6 @ Y0 )
           => ( ( admin @ Y0 )
              | ( (~) @ ( bob @ Y0 ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl96]) ).

thf(zip_derived_cl98,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i] :
      ( ~ ( rel @ X6 @ X8 )
      | ( deletefile1 @ X8 )
      | ( !!
        @ ^ [Y0: $i] :
            ( ( rel @ X6 @ Y0 )
           => ( ( admin @ Y0 )
              | ( (~) @ ( bob @ Y0 ) ) ) ) )
      | ~ ( rel @ X2 @ X4 )
      | ( admin @ X4 )
      | ~ ( rel @ X4 @ X6 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl97]) ).

thf(zip_derived_cl99,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i] :
      ( ( ( rel @ X6 @ X10 )
       => ( ( admin @ X10 )
          | ( (~) @ ( bob @ X10 ) ) ) )
      | ~ ( rel @ X4 @ X6 )
      | ( admin @ X4 )
      | ~ ( rel @ X2 @ X4 )
      | ( deletefile1 @ X8 )
      | ~ ( rel @ X6 @ X8 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl98]) ).

thf(zip_derived_cl100,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i] :
      ( ~ ( rel @ X6 @ X10 )
      | ( admin @ X10 )
      | ( (~) @ ( bob @ X10 ) )
      | ~ ( rel @ X6 @ X8 )
      | ( deletefile1 @ X8 )
      | ~ ( rel @ X2 @ X4 )
      | ( admin @ X4 )
      | ~ ( rel @ X4 @ X6 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl99]) ).

thf(zip_derived_cl101,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i] :
      ( ( admin @ X10 )
      | ~ ( bob @ X10 )
      | ~ ( rel @ X4 @ X6 )
      | ( admin @ X4 )
      | ~ ( rel @ X2 @ X4 )
      | ( deletefile1 @ X8 )
      | ~ ( rel @ X6 @ X8 )
      | ~ ( rel @ X6 @ X10 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl100]) ).

thf(zip_derived_cl54_004,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i] :
      ( ~ ( rel @ X4 @ X8 )
      | ~ ( admin @ X8 )
      | ~ ( rel @ X4 @ X6 )
      | ( deletefile1 @ X6 )
      | ~ ( rel @ X2 @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl53]) ).

thf(zip_derived_cl102,plain,
    ! [X2: $i,X4: $i,X6: $i,X8: $i,X10: $i] :
      ( ~ ( rel @ X6 @ X10 )
      | ~ ( rel @ X6 @ X8 )
      | ( deletefile1 @ X8 )
      | ~ ( rel @ X2 @ X4 )
      | ( admin @ X4 )
      | ~ ( rel @ X4 @ X6 )
      | ~ ( bob @ X10 ) ),
    inference(clc,[status(thm)],[zip_derived_cl101,zip_derived_cl54]) ).

thf(zip_derived_cl103,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( bob @ '#sk2' )
      | ~ ( rel @ X0 @ '#sk1' )
      | ( admin @ X0 )
      | ~ ( rel @ X1 @ X0 )
      | ( deletefile1 @ X2 )
      | ~ ( rel @ '#sk1' @ X2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl102]) ).

thf(zip_derived_cl15_005,plain,
    ! [X2: $i > $o,X4: $i] :
      ( ~ ( X2 @ ( '#sk7' @ X2 @ X4 ) )
      | ( X2 @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl8_006,plain,
    rel @ '#sk1' @ '#sk2',
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl14_007,plain,
    ! [X2: $i > $o,X4: $i] :
      ( ( rel @ X4 @ ( '#sk7' @ X2 @ X4 ) )
      | ( X2 @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl13]) ).

thf(ax3,axiom,
    iclval @ ( icl_says @ ( icl_princ @ bob ) @ ( icl_atom @ deletefile1 ) ) ).

thf(zf_stmt_5,axiom,
    ! [X4: $i,X6: $i] :
      ( ( rel @ X4 @ X6 )
     => ( ! [X8: $i] :
            ( ( rel @ X6 @ X8 )
           => ( deletefile1 @ X8 ) )
        | ( bob @ X6 ) ) ) ).

thf(zip_derived_cl4,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( ( rel @ Y0 @ Y1 )
           => ( ( !!
                @ ^ [Y2: $i] :
                    ( ( rel @ Y1 @ Y2 )
                   => ( deletefile1 @ Y2 ) ) )
              | ( bob @ Y1 ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl27,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( rel @ X2 @ Y0 )
         => ( ( !!
              @ ^ [Y1: $i] :
                  ( ( rel @ Y0 @ Y1 )
                 => ( deletefile1 @ Y1 ) ) )
            | ( bob @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl28,plain,
    ! [X2: $i,X4: $i] :
      ( ( rel @ X2 @ X4 )
     => ( ( !!
          @ ^ [Y0: $i] :
              ( ( rel @ X4 @ Y0 )
             => ( deletefile1 @ Y0 ) ) )
        | ( bob @ X4 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl27]) ).

thf(zip_derived_cl29,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( rel @ X2 @ X4 )
      | ( !!
        @ ^ [Y0: $i] :
            ( ( rel @ X4 @ Y0 )
           => ( deletefile1 @ Y0 ) ) )
      | ( bob @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl28]) ).

thf(zip_derived_cl30,plain,
    ! [X2: $i,X4: $i] :
      ( ( !!
        @ ^ [Y0: $i] :
            ( ( rel @ X4 @ Y0 )
           => ( deletefile1 @ Y0 ) ) )
      | ( bob @ X4 )
      | ~ ( rel @ X2 @ X4 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl29]) ).

thf(zip_derived_cl31,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ( ( rel @ X4 @ X6 )
       => ( deletefile1 @ X6 ) )
      | ~ ( rel @ X2 @ X4 )
      | ( bob @ X4 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl30]) ).

thf(zip_derived_cl32,plain,
    ! [X2: $i,X4: $i,X6: $i] :
      ( ~ ( rel @ X4 @ X6 )
      | ( deletefile1 @ X6 )
      | ( bob @ X4 )
      | ~ ( rel @ X2 @ X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl31]) ).

thf(zip_derived_cl34,plain,
    ! [X0: $i,X1: $i > $o,X2: $i] :
      ( ( X1 @ X0 )
      | ~ ( rel @ X2 @ X0 )
      | ( bob @ X0 )
      | ( deletefile1 @ ( '#sk7' @ X1 @ X0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl14,zip_derived_cl32]) ).

thf(zip_derived_cl448,plain,
    ! [X0: $i > $o] :
      ( ( deletefile1 @ ( '#sk7' @ X0 @ '#sk2' ) )
      | ( bob @ '#sk2' )
      | ( X0 @ '#sk2' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl34]) ).

thf(zip_derived_cl596,plain,
    ( ( deletefile1 @ '#sk2' )
    | ( deletefile1 @ '#sk2' )
    | ( bob @ '#sk2' ) ),
    inference('sup+',[status(thm)],[zip_derived_cl15,zip_derived_cl448]) ).

thf(zip_derived_cl9_008,plain,
    ~ ( deletefile1 @ '#sk2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl9_009,plain,
    ~ ( deletefile1 @ '#sk2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl602,plain,
    bob @ '#sk2',
    inference(demod,[status(thm)],[zip_derived_cl596,zip_derived_cl9,zip_derived_cl9]) ).

thf(zip_derived_cl624,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( rel @ X0 @ '#sk1' )
      | ( admin @ X0 )
      | ~ ( rel @ X1 @ X0 )
      | ( deletefile1 @ X2 )
      | ~ ( rel @ '#sk1' @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl103,zip_derived_cl602]) ).

thf(zip_derived_cl630,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rel @ '#sk1' @ X1 )
      | ( deletefile1 @ X1 )
      | ( admin @ X0 )
      | ~ ( rel @ X0 @ '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl157,zip_derived_cl624]) ).

thf(zip_derived_cl779,plain,
    ! [X0: $i] :
      ( ~ ( rel @ X0 @ '#sk1' )
      | ( admin @ X0 )
      | ( deletefile1 @ '#sk2' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl630]) ).

thf(zip_derived_cl9_010,plain,
    ~ ( deletefile1 @ '#sk2' ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl799,plain,
    ! [X0: $i] :
      ( ~ ( rel @ X0 @ '#sk1' )
      | ( admin @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl779,zip_derived_cl9]) ).

thf(zip_derived_cl817,plain,
    ~ ( rel @ '#sk1' @ '#sk1' ),
    inference('sup+',[status(thm)],[zip_derived_cl489,zip_derived_cl799]) ).

thf(zip_derived_cl157_011,plain,
    ! [X0: $i] : ( rel @ X0 @ X0 ),
    inference(simplify,[status(thm)],[zip_derived_cl135]) ).

thf(zip_derived_cl821,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl817,zip_derived_cl157]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14  % Problem  : SWV436^4 : TPTP v8.1.2. Released v3.6.0.
% 0.03/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.c0cfZniQ8n true
% 0.12/0.34  % Computer : n007.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Tue Aug 29 04:51:13 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.35  % Python version: Python 3.6.8
% 0.12/0.35  % Running in HO mode
% 0.41/0.59  % Total configuration time : 828
% 0.41/0.59  % Estimated wc time : 1656
% 0.41/0.59  % Estimated cpu time (8 cpus) : 207.0
% 0.43/0.64  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.43/0.72  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.43/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.43/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.44/0.78  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.44/0.82  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.44/0.82  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.44/0.83  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.44/0.90  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.45/0.98  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 3.87/1.47  % Solved by lams/35_full_unif4.sh.
% 3.87/1.47  % done 81 iterations in 0.694s
% 3.87/1.47  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 3.87/1.47  % SZS output start Refutation
% See solution above
% 3.87/1.47  
% 3.87/1.47  
% 3.87/1.47  % Terminating...
% 4.30/1.67  % Runner terminated.
% 4.30/1.67  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------