TSTP Solution File: LCL961^11 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL961^11 : TPTP v8.1.2. Released v8.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RNMO5guPfD 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 : Thu Aug 31 09:02:51 EDT 2023

% Result   : Theorem 0.21s 0.78s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   41 (  20 unt;  12 typ;   0 def)
%            Number of atoms       :   84 (  12 equ;   0 cnn)
%            Maximal formula atoms :   14 (   2 avg)
%            Number of connectives :  159 (  12   ~;  12   |;   1   &; 111   @)
%                                         (   0 <=>;  23  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   37 (  37   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   5 con; 0-3 aty)
%            Number of variables   :   54 (  27   ^;  27   !;   0   ?;  54   :)

% 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(mactual_type,type,
    mactual: mworld ).

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

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

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

thf(sk__2_type,type,
    sk__2: mworld ).

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

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

thf(sk__4_type,type,
    sk__4: mworld ).

thf(sk__3_type,type,
    sk__3: mworld ).

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

thf('0',plain,
    ( mbox
    = ( ^ [Phi: mworld > $o,W: mworld] :
        ! [V: mworld] :
          ( ( mrel @ W @ V )
         => ( Phi @ V ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mbox_def]) ).

thf('1',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('2',plain,
    ( mimplies
    = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
          ( ( A @ W )
         => ( B @ W ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mimplies_def]) ).

thf('3',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(mor_def,axiom,
    ( mor
    = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
          ( ( A @ W )
          | ( B @ W ) ) ) ) ).

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

thf('5',plain,
    ( mor
    = ( ^ [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('6',plain,
    ( mlocal
    = ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mlocal_def]) ).

thf('7',plain,
    ( mlocal
    = ( ^ [V_1: mworld > $o] : ( V_1 @ mactual ) ) ),
    define([status(thm)]) ).

thf(pel16,conjecture,
    mlocal @ ( mor @ ( mbox @ ( mimplies @ ( mbox @ p ) @ ( mbox @ q ) ) ) @ ( mbox @ ( mimplies @ ( mbox @ q ) @ ( mbox @ p ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( ! [X4: mworld] :
        ( ( mrel @ mactual @ X4 )
       => ( ! [X6: mworld] :
              ( ( mrel @ X4 @ X6 )
             => ( p @ X6 ) )
         => ! [X8: mworld] :
              ( ( mrel @ X4 @ X8 )
             => ( q @ X8 ) ) ) )
    | ! [X10: mworld] :
        ( ( mrel @ mactual @ X10 )
       => ( ! [X12: mworld] :
              ( ( mrel @ X10 @ X12 )
             => ( q @ X12 ) )
         => ! [X14: mworld] :
              ( ( mrel @ X10 @ X14 )
             => ( p @ X14 ) ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( ! [X4: mworld] :
          ( ( mrel @ mactual @ X4 )
         => ( ! [X6: mworld] :
                ( ( mrel @ X4 @ X6 )
               => ( p @ X6 ) )
           => ! [X8: mworld] :
                ( ( mrel @ X4 @ X8 )
               => ( q @ X8 ) ) ) )
      | ! [X10: mworld] :
          ( ( mrel @ mactual @ X10 )
         => ( ! [X12: mworld] :
                ( ( mrel @ X10 @ X12 )
               => ( q @ X12 ) )
           => ! [X14: mworld] :
                ( ( mrel @ X10 @ X14 )
               => ( p @ X14 ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5,plain,
    mrel @ mactual @ sk__4,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(mrel_euclidean,axiom,
    ! [W: mworld,V: mworld,U: mworld] :
      ( ( ( mrel @ W @ U )
        & ( mrel @ W @ V ) )
     => ( mrel @ U @ V ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: mworld,X1: mworld,X2: mworld] :
      ( ~ ( mrel @ X0 @ X1 )
      | ~ ( mrel @ X0 @ X2 )
      | ( mrel @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[mrel_euclidean]) ).

thf(zip_derived_cl16,plain,
    ! [X0: mworld] :
      ( ( mrel @ X0 @ sk__4 )
      | ~ ( mrel @ mactual @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl1]) ).

thf(zip_derived_cl7,plain,
    mrel @ sk__2 @ sk__3,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1_001,plain,
    ! [X0: mworld,X1: mworld,X2: mworld] :
      ( ~ ( mrel @ X0 @ X1 )
      | ~ ( mrel @ X0 @ X2 )
      | ( mrel @ X2 @ X1 ) ),
    inference(cnf,[status(esa)],[mrel_euclidean]) ).

thf(zip_derived_cl15,plain,
    ! [X0: mworld] :
      ( ( mrel @ X0 @ sk__3 )
      | ~ ( mrel @ sk__2 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl1]) ).

thf(zip_derived_cl2,plain,
    ! [X0: mworld] :
      ( ( q @ X0 )
      | ~ ( mrel @ sk__4 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl8,plain,
    ~ ( q @ sk__3 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl10,plain,
    ~ ( mrel @ sk__4 @ sk__3 ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl8]) ).

thf(zip_derived_cl35,plain,
    ~ ( mrel @ sk__2 @ sk__4 ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl10]) ).

thf(zip_derived_cl39,plain,
    ~ ( mrel @ mactual @ sk__2 ),
    inference('sup-',[status(thm)],[zip_derived_cl16,zip_derived_cl35]) ).

thf(zip_derived_cl9,plain,
    mrel @ mactual @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl43,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl39,zip_derived_cl9]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LCL961^11 : TPTP v8.1.2. Released v8.1.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.RNMO5guPfD true
% 0.14/0.34  % Computer : n028.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Fri Aug 25 00:37:35 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in HO mode
% 0.21/0.66  % Total configuration time : 828
% 0.21/0.66  % Estimated wc time : 1656
% 0.21/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.21/0.78  % Solved by lams/40_c.s.sh.
% 0.21/0.78  % done 24 iterations in 0.019s
% 0.21/0.78  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.78  % SZS output start Refutation
% See solution above
% 0.21/0.78  
% 0.21/0.78  
% 0.21/0.78  % Terminating...
% 1.66/0.86  % Runner terminated.
% 1.66/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------