TSTP Solution File: SWV428^2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWV428^2 : 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.hPUannMAI4 true

% Computer : n028.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 00:09:54 EDT 2023

% Result   : Theorem 158.12s 21.08s
% Output   : Refutation 158.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   51
% Syntax   : Number of formulae    :   83 (  38 unt;  21 typ;   0 def)
%            Number of atoms       :  217 (  30 equ;   0 cnn)
%            Maximal formula atoms :   12 (   3 avg)
%            Number of connectives :  370 (  42   ~;  57   |;   0   &; 254   @)
%                                         (   0 <=>;  17  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  103 ( 103   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   23 (  21 usr;   3 con; 0-3 aty)
%            Number of variables   :  125 (  54   ^;  71   !;   0   ?; 125   :)

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

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

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

thf(sk__7_type,type,
    sk__7: $i > $i ).

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

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

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

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

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

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

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

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

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

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

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

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

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

thf('7',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('8',plain,
    ( icl_says
    = ( ^ [A: $i > $o,S: $i > $o] : ( mbox @ rel @ ( mor @ A @ S ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[icl_says,'5','7']) ).

thf('9',plain,
    ( icl_says
    = ( ^ [V_1: $i > $o,V_2: $i > $o] : ( mbox @ rel @ ( mor @ V_1 @ V_2 ) ) ) ),
    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('10',plain,
    ( mnot
    = ( ^ [X: $i > $o,U: $i] :
          ~ ( X @ U ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mnot]) ).

thf('11',plain,
    ( mnot
    = ( ^ [V_1: $i > $o,V_2: $i] :
          ~ ( V_1 @ V_2 ) ) ),
    define([status(thm)]) ).

thf('12',plain,
    ( mimpl
    = ( ^ [U: $i > $o,V: $i > $o] : ( mor @ ( mnot @ U ) @ V ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mimpl,'7','11']) ).

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

thf('14',plain,
    ( icl_impl
    = ( ^ [A: $i > $o,B: $i > $o] : ( mbox @ rel @ ( mimpl @ A @ B ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[icl_impl,'5','13','7','11']) ).

thf('15',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('16',plain,
    ( icl_princ
    = ( ^ [P: $i > $o] : P ) ),
    inference(simplify_rw_rule,[status(thm)],[icl_princ]) ).

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

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

thf('18',plain,
    ( icl_atom
    = ( ^ [P: $i > $o] : ( mbox @ rel @ P ) ) ),
    inference(simplify_rw_rule,[status(thm)],[icl_atom,'5']) ).

thf('19',plain,
    ( icl_atom
    = ( ^ [V_1: $i > $o] : ( mbox @ rel @ V_1 ) ) ),
    define([status(thm)]) ).

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

thf(zf_stmt_0,axiom,
    ! [X4: $i,X6: $i] :
      ( ( rel @ X4 @ X6 )
     => ( ~ ! [X8: $i] :
              ( ( rel @ X6 @ X8 )
             => ( ( admin @ X8 )
                | ! [X10: $i] :
                    ( ( rel @ X8 @ X10 )
                   => ( deletefile1 @ X10 ) ) ) )
        | ! [X12: $i] :
            ( ( rel @ X6 @ X12 )
           => ( deletefile1 @ X12 ) ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( rel @ X0 @ X1 )
      | ( deletefile1 @ X1 )
      | ~ ( deletefile1 @ ( sk__5 @ X0 ) )
      | ~ ( rel @ X2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( rel @ X0 @ X1 )
      | ( deletefile1 @ X1 )
      | ~ ( admin @ ( sk__4 @ X0 ) )
      | ~ ( rel @ X2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

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

thf(zf_stmt_1,axiom,
    ! [X4: $i,X6: $i] :
      ( ( rel @ X4 @ X6 )
     => ( ( admin @ X6 )
        | ! [X8: $i] :
            ( ( rel @ X6 @ X8 )
           => ( ~ ! [X10: $i] :
                    ( ( rel @ X8 @ X10 )
                   => ( ( bob @ X10 )
                      | ! [X12: $i] :
                          ( ( rel @ X10 @ X12 )
                         => ( deletefile1 @ X12 ) ) ) )
              | ! [X14: $i] :
                  ( ( rel @ X8 @ X14 )
                 => ( deletefile1 @ X14 ) ) ) ) ) ) ).

thf(zip_derived_cl10,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( rel @ X0 @ X1 )
      | ~ ( deletefile1 @ ( sk__7 @ X1 ) )
      | ( deletefile1 @ X2 )
      | ~ ( rel @ X1 @ X2 )
      | ( admin @ X0 )
      | ~ ( rel @ X3 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl542,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rel @ X0 @ X0 )
      | ( admin @ X0 )
      | ~ ( rel @ X0 @ X1 )
      | ( deletefile1 @ X1 )
      | ~ ( deletefile1 @ ( sk__7 @ X0 ) ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl10]) ).

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

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

thf(zip_derived_cl0,plain,
    ! [X0: $i > $o,X1: $i] :
      ( ~ ( X0 @ ( sk__2 @ X1 @ X0 ) )
      | ( X0 @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i > $o] :
      ( ( rel @ X0 @ ( sk__2 @ X0 @ X1 ) )
      | ( X1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_2]) ).

thf(zip_derived_cl65,plain,
    ! [X0: $i] :
      ( ( rel @ X0 @ X0 )
      | ( rel @ X0 @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl0,zip_derived_cl1]) ).

thf(zip_derived_cl77,plain,
    ! [X0: $i] : ( rel @ X0 @ X0 ),
    inference(simplify,[status(thm)],[zip_derived_cl65]) ).

thf(zip_derived_cl550,plain,
    ! [X0: $i,X1: $i] :
      ( ( admin @ X0 )
      | ~ ( rel @ X0 @ X1 )
      | ( deletefile1 @ X1 )
      | ~ ( deletefile1 @ ( sk__7 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl542,zip_derived_cl77]) ).

thf(zip_derived_cl9,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( rel @ X0 @ X1 )
      | ~ ( bob @ ( sk__6 @ X1 ) )
      | ( deletefile1 @ X2 )
      | ~ ( rel @ X1 @ X2 )
      | ( admin @ X0 )
      | ~ ( rel @ X3 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl502,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( rel @ X0 @ X0 )
      | ( admin @ X0 )
      | ~ ( rel @ X0 @ X1 )
      | ( deletefile1 @ X1 )
      | ~ ( bob @ ( sk__6 @ X0 ) ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl77_001,plain,
    ! [X0: $i] : ( rel @ X0 @ X0 ),
    inference(simplify,[status(thm)],[zip_derived_cl65]) ).

thf(zip_derived_cl517,plain,
    ! [X0: $i,X1: $i] :
      ( ( admin @ X0 )
      | ~ ( rel @ X0 @ X1 )
      | ( deletefile1 @ X1 )
      | ~ ( bob @ ( sk__6 @ X0 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl502,zip_derived_cl77]) ).

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

thf(zf_stmt_3,axiom,
    ! [X4: $i,X6: $i] :
      ( ( rel @ X4 @ X6 )
     => ( ( bob @ X6 )
        | ! [X8: $i] :
            ( ( rel @ X6 @ X8 )
           => ( deletefile1 @ X8 ) ) ) ) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( rel @ X0 @ X1 )
      | ( deletefile1 @ X1 )
      | ( bob @ X0 )
      | ~ ( rel @ X2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_3]) ).

thf(ex1,conjecture,
    iclval @ ( icl_atom @ deletefile1 ) ).

thf(zf_stmt_4,conjecture,
    ! [X4: $i,X6: $i] :
      ( ( rel @ X4 @ X6 )
     => ( deletefile1 @ X6 ) ) ).

thf(zf_stmt_5,negated_conjecture,
    ~ ! [X4: $i,X6: $i] :
        ( ( rel @ X4 @ X6 )
       => ( deletefile1 @ X6 ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_4]) ).

thf(zip_derived_cl14,plain,
    ~ ( deletefile1 @ sk__9 ),
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl77_002,plain,
    ! [X0: $i] : ( rel @ X0 @ X0 ),
    inference(simplify,[status(thm)],[zip_derived_cl65]) ).

thf(zip_derived_cl13,plain,
    rel @ sk__8 @ sk__9,
    inference(cnf,[status(esa)],[zf_stmt_5]) ).

thf(zip_derived_cl11,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( rel @ X0 @ X1 )
      | ( rel @ ( sk__6 @ X1 ) @ ( sk__7 @ X1 ) )
      | ( deletefile1 @ X2 )
      | ~ ( rel @ X1 @ X2 )
      | ( admin @ X0 )
      | ~ ( rel @ X3 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl4,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( rel @ X0 @ X1 )
      | ( deletefile1 @ X1 )
      | ( rel @ ( sk__4 @ X0 ) @ ( sk__5 @ X0 ) )
      | ~ ( rel @ X2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl7,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( rel @ X0 @ X1 )
      | ( deletefile1 @ X1 )
      | ( rel @ X0 @ ( sk__4 @ X0 ) )
      | ~ ( rel @ X2 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17394,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl5,zip_derived_cl6,zip_derived_cl550,zip_derived_cl517,zip_derived_cl12,zip_derived_cl14,zip_derived_cl77,zip_derived_cl13,zip_derived_cl11,zip_derived_cl4,zip_derived_cl7]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : SWV428^2 : TPTP v8.1.2. Released v3.6.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.hPUannMAI4 true
% 0.13/0.34  % Computer : n028.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Tue Aug 29 10:17:10 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in HO mode
% 0.20/0.67  % Total configuration time : 828
% 0.20/0.67  % Estimated wc time : 1656
% 0.20/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 1.07/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.07/0.75  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.07/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.07/0.75  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.07/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.07/0.76  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.39/0.78  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.39/0.78  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 1.39/0.80  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 158.12/21.08  % Solved by lams/40_noforms.sh.
% 158.12/21.08  % done 888 iterations in 20.284s
% 158.12/21.08  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 158.12/21.08  % SZS output start Refutation
% See solution above
% 158.12/21.08  
% 158.12/21.08  
% 158.12/21.08  % Terminating...
% 158.55/21.20  % Runner terminated.
% 158.55/21.21  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------