TSTP Solution File: SYO896^7 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO896^7 : TPTP v8.1.2. Released v8.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Ddp9gUAXhY true

% Computer : n012.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 05:53:11 EDT 2023

% Result   : Theorem 0.21s 0.79s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   26
% Syntax   : Number of formulae    :   40 (  22 unt;  12 typ;   0 def)
%            Number of atoms       :   85 (  18 equ;   0 cnn)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :  134 (  16   ~;   5   |;  10   &;  87   @)
%                                         (   0 <=>;  16  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   49 (  49   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   3 con; 0-3 aty)
%            Number of variables   :   54 (  39   ^;  10   !;   5   ?;  54   :)

% Comments : 
%------------------------------------------------------------------------------
thf(mworld_type,type,
    mworld: $tType ).

thf(sk__2_type,type,
    sk__2: mworld ).

thf(p_type,type,
    p: mworld > $o ).

thf(mimplies_type,type,
    mimplies: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

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

thf(q_type,type,
    q: mworld > $o ).

thf(mactual_type,type,
    mactual: mworld ).

thf(mand_type,type,
    mand: ( mworld > $o ) > ( mworld > $o ) > mworld > $o ).

thf(mdia_type,type,
    mdia: ( mworld > $o ) > mworld > $o ).

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

thf(mlocal_type,type,
    mlocal: ( mworld > $o ) > $o ).

thf(mrel_type,type,
    mrel: mworld > mworld > $o ).

thf(mdia_def,axiom,
    ( mdia
    = ( ^ [Phi: mworld > $o,W: mworld] :
        ? [V: mworld] :
          ( ( Phi @ V )
          & ( mrel @ W @ V ) ) ) ) ).

thf('0',plain,
    ( mdia
    = ( ^ [Phi: mworld > $o,W: mworld] :
        ? [V: mworld] :
          ( ( Phi @ V )
          & ( mrel @ W @ V ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mdia_def]) ).

thf('1',plain,
    ( mdia
    = ( ^ [V_1: mworld > $o,V_2: mworld] :
        ? [X4: mworld] :
          ( ( V_1 @ X4 )
          & ( mrel @ V_2 @ X4 ) ) ) ),
    define([status(thm)]) ).

thf(mbox_def,axiom,
    ( mbox
    = ( ^ [Phi: mworld > $o,W: mworld] :
        ! [V: mworld] :
          ( ( mrel @ W @ V )
         => ( Phi @ V ) ) ) ) ).

thf('2',plain,
    ( mbox
    = ( ^ [Phi: mworld > $o,W: mworld] :
        ! [V: mworld] :
          ( ( mrel @ W @ V )
         => ( Phi @ V ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mbox_def]) ).

thf('3',plain,
    ( mbox
    = ( ^ [V_1: mworld > $o,V_2: mworld] :
        ! [X4: mworld] :
          ( ( mrel @ V_2 @ X4 )
         => ( V_1 @ X4 ) ) ) ),
    define([status(thm)]) ).

thf(mimplies_def,axiom,
    ( mimplies
    = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
          ( ( A @ W )
         => ( B @ W ) ) ) ) ).

thf('4',plain,
    ( mimplies
    = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
          ( ( A @ W )
         => ( B @ W ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mimplies_def]) ).

thf('5',plain,
    ( mimplies
    = ( ^ [V_1: mworld > $o,V_2: mworld > $o,V_3: mworld] :
          ( ( V_1 @ V_3 )
         => ( V_2 @ V_3 ) ) ) ),
    define([status(thm)]) ).

thf(mand_def,axiom,
    ( mand
    = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
          ( ( A @ W )
          & ( B @ W ) ) ) ) ).

thf('6',plain,
    ( mand
    = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
          ( ( A @ W )
          & ( B @ W ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mand_def]) ).

thf('7',plain,
    ( mand
    = ( ^ [V_1: mworld > $o,V_2: mworld > $o,V_3: mworld] :
          ( ( V_1 @ V_3 )
          & ( V_2 @ V_3 ) ) ) ),
    define([status(thm)]) ).

thf(mnot_def,axiom,
    ( mnot
    = ( ^ [A: mworld > $o,W: mworld] :
          ~ ( A @ W ) ) ) ).

thf('8',plain,
    ( mnot
    = ( ^ [A: mworld > $o,W: mworld] :
          ~ ( A @ W ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mnot_def]) ).

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

thf(mlocal_def,axiom,
    ( mlocal
    = ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ) ).

thf('10',plain,
    ( mlocal
    = ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mlocal_def]) ).

thf('11',plain,
    ( mlocal
    = ( ^ [V_1: mworld > $o] : ( V_1 @ mactual ) ) ),
    define([status(thm)]) ).

thf(con,conjecture,
    mlocal @ ( mimplies @ ( mand @ ( mbox @ ( mimplies @ p @ q ) ) @ ( mbox @ ( mimplies @ p @ ( mnot @ q ) ) ) ) @ ( mnot @ ( mdia @ p ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ( ! [X4: mworld] :
          ( ( mrel @ mactual @ X4 )
         => ( ( p @ X4 )
           => ( q @ X4 ) ) )
      & ! [X6: mworld] :
          ( ( mrel @ mactual @ X6 )
         => ( ( p @ X6 )
           => ~ ( q @ X6 ) ) ) )
   => ~ ? [X8: mworld] :
          ( ( p @ X8 )
          & ( mrel @ mactual @ X8 ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( ( ! [X4: mworld] :
            ( ( mrel @ mactual @ X4 )
           => ( ( p @ X4 )
             => ( q @ X4 ) ) )
        & ! [X6: mworld] :
            ( ( mrel @ mactual @ X6 )
           => ( ( p @ X6 )
             => ~ ( q @ X6 ) ) ) )
     => ~ ? [X8: mworld] :
            ( ( p @ X8 )
            & ( mrel @ mactual @ X8 ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    mrel @ mactual @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1,plain,
    ! [X1: mworld] :
      ( ~ ( p @ X1 )
      | ~ ( q @ X1 )
      | ~ ( mrel @ mactual @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl0,plain,
    ! [X0: mworld] :
      ( ~ ( p @ X0 )
      | ( q @ X0 )
      | ~ ( mrel @ mactual @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl4,plain,
    ! [X1: mworld] :
      ( ~ ( mrel @ mactual @ X1 )
      | ~ ( p @ X1 ) ),
    inference(clc,[status(thm)],[zip_derived_cl1,zip_derived_cl0]) ).

thf(zip_derived_cl5,plain,
    ~ ( p @ sk__2 ),
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl4]) ).

thf(zip_derived_cl2,plain,
    p @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl7,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl2]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO896^7 : TPTP v8.1.2. Released v8.1.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.Ddp9gUAXhY true
% 0.16/0.34  % Computer : n012.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Sat Aug 26 06:02:40 EDT 2023
% 0.16/0.34  % CPUTime  : 
% 0.16/0.34  % Running portfolio for 300 s
% 0.16/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.35  % Number of cores: 8
% 0.16/0.35  % Python version: Python 3.6.8
% 0.16/0.35  % Running in HO mode
% 0.21/0.67  % Total configuration time : 828
% 0.21/0.67  % Estimated wc time : 1656
% 0.21/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.79  % Solved by lams/40_c_ic.sh.
% 0.21/0.79  % done 3 iterations in 0.010s
% 0.21/0.79  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.79  % SZS output start Refutation
% See solution above
% 0.21/0.79  
% 0.21/0.79  
% 0.21/0.79  % Terminating...
% 1.39/0.86  % Runner terminated.
% 1.39/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------