TSTP Solution File: SYO887^22 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO887^22 : 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.T82QnqVi98 true

% Computer : n023.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 05:53:07 EDT 2023

% Result   : Theorem 0.56s 0.78s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   24
% Syntax   : Number of formulae    :   41 (  22 unt;  11 typ;   0 def)
%            Number of atoms       :   77 (  15 equ;   0 cnn)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  150 (  12   ~;   6   |;  12   &; 110   @)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   45 (  45   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  10 usr;   2 con; 0-3 aty)
%            Number of variables   :   58 (  32   ^;  14   !;  12   ?;  58   :)

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

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

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

thf(mexists_di_type,type,
    mexists_di: ( $i > mworld > $o ) > mworld > $o ).

thf(mactual_type,type,
    mactual: mworld ).

thf(eiw_di_type,type,
    eiw_di: $i > mworld > $o ).

thf(f_type,type,
    f: $i > mworld > $o ).

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

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

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

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

thf(mexists_di_def,axiom,
    ( mexists_di
    = ( ^ [A: $i > mworld > $o,W: mworld] :
        ? [X: $i] :
          ( ( A @ X @ W )
          & ( eiw_di @ X @ W ) ) ) ) ).

thf('0',plain,
    ( mexists_di
    = ( ^ [A: $i > mworld > $o,W: mworld] :
        ? [X: $i] :
          ( ( A @ X @ W )
          & ( eiw_di @ X @ W ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mexists_di_def]) ).

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

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

thf('2',plain,
    ( mdia
    = ( ^ [Phi: mworld > $o,W: mworld] :
        ? [V: mworld] :
          ( ( Phi @ V )
          & ( mrel @ W @ V ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mdia_def]) ).

thf('3',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('4',plain,
    ( mbox
    = ( ^ [Phi: mworld > $o,W: mworld] :
        ! [V: mworld] :
          ( ( mrel @ W @ V )
         => ( Phi @ V ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mbox_def]) ).

thf('5',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('6',plain,
    ( mimplies
    = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
          ( ( A @ W )
         => ( B @ W ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mimplies_def]) ).

thf('7',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(mlocal_def,axiom,
    ( mlocal
    = ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ) ).

thf('8',plain,
    ( mlocal
    = ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mlocal_def]) ).

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

thf(con,conjecture,
    ( mlocal
    @ ( mimplies
      @ ( mbox
        @ ( mexists_di
          @ ^ [X: $i] : ( f @ X ) ) )
      @ ( mexists_di
        @ ^ [X: $i] : ( mdia @ ( f @ X ) ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ! [X4: mworld] :
        ( ( mrel @ mactual @ X4 )
       => ? [X6: $i] :
            ( ( f @ X6 @ X4 )
            & ( eiw_di @ X6 @ X4 ) ) )
   => ? [X8: $i] :
        ( ? [X10: mworld] :
            ( ( f @ X8 @ X10 )
            & ( mrel @ mactual @ X10 ) )
        & ( eiw_di @ X8 @ mactual ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( ! [X4: mworld] :
          ( ( mrel @ mactual @ X4 )
         => ? [X6: $i] :
              ( ( f @ X6 @ X4 )
              & ( eiw_di @ X6 @ X4 ) ) )
     => ? [X8: $i] :
          ( ? [X10: mworld] :
              ( ( f @ X8 @ X10 )
              & ( mrel @ mactual @ X10 ) )
          & ( eiw_di @ X8 @ mactual ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
    ! [X0: mworld] :
      ( ( f @ ( sk__5 @ X0 ) @ X0 )
      | ~ ( mrel @ mactual @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl5,plain,
    ! [X0: mworld] :
      ( ( eiw_di @ ( sk__5 @ X0 ) @ X0 )
      | ~ ( mrel @ mactual @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(mrel_reflexive,axiom,
    ! [W: mworld] : ( mrel @ W @ W ) ).

thf(zip_derived_cl0,plain,
    ! [X0: mworld] : ( mrel @ X0 @ X0 ),
    inference(cnf,[status(esa)],[mrel_reflexive]) ).

thf(zip_derived_cl6,plain,
    ! [X1: mworld,X2: $i] :
      ( ~ ( mrel @ mactual @ X1 )
      | ~ ( f @ X2 @ X1 )
      | ~ ( eiw_di @ X2 @ mactual ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i] :
      ( ~ ( eiw_di @ X0 @ mactual )
      | ~ ( f @ X0 @ mactual ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl6]) ).

thf(zip_derived_cl19,plain,
    ( ~ ( mrel @ mactual @ mactual )
    | ~ ( f @ ( sk__5 @ mactual ) @ mactual ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl17]) ).

thf(zip_derived_cl0_001,plain,
    ! [X0: mworld] : ( mrel @ X0 @ X0 ),
    inference(cnf,[status(esa)],[mrel_reflexive]) ).

thf(zip_derived_cl23,plain,
    ~ ( f @ ( sk__5 @ mactual ) @ mactual ),
    inference(demod,[status(thm)],[zip_derived_cl19,zip_derived_cl0]) ).

thf(zip_derived_cl25,plain,
    ~ ( mrel @ mactual @ mactual ),
    inference('sup-',[status(thm)],[zip_derived_cl4,zip_derived_cl23]) ).

thf(zip_derived_cl0_002,plain,
    ! [X0: mworld] : ( mrel @ X0 @ X0 ),
    inference(cnf,[status(esa)],[mrel_reflexive]) ).

thf(zip_derived_cl27,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl25,zip_derived_cl0]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem  : SYO887^22 : TPTP v8.1.2. Released v8.1.0.
% 0.13/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.T82QnqVi98 true
% 0.13/0.35  % Computer : n023.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sat Aug 26 06:08:41 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in HO mode
% 0.53/0.68  % Total configuration time : 828
% 0.53/0.68  % Estimated wc time : 1656
% 0.53/0.68  % Estimated cpu time (8 cpus) : 207.0
% 0.56/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.78  % Solved by lams/40_c.s.sh.
% 0.56/0.78  % done 10 iterations in 0.012s
% 0.56/0.78  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.78  % SZS output start Refutation
% See solution above
% 0.56/0.78  
% 0.56/0.78  
% 0.56/0.78  % Terminating...
% 0.64/0.88  % Runner terminated.
% 1.72/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------