↑ Up

Zipperpin---2.1.9999.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL954^19 : TPTP v9.3.1. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.nxnMM1HFJ8 true

% Computer : n014.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Sep  7 01:37:40 PM UTC 2026

% Result   : Theorem 0.39s 1.02s
% Output   : Refutation 0.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   17 (  13 unt;   0 typ;   0 def)
%            Number of atoms       :   44 (   9 equ;   0 cnn)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   65 (   3   ~;   1   |;   0   &;  47   @)
%                                         (   0 <=>;  14  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   8 usr;   4 con; 0-3 aty)
%            Number of variables   :   28 (  18   ^;  10   !;   0   ?;  28   :)

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

thf(true_type,type,
    true: mworld > $o ).

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

thf(sk__1_type,type,
    sk__1: mworld ).

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

thf(mactual_type,type,
    mactual: mworld ).

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

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

thf(sk__2_type,type,
    sk__2: 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(mlocal_def,axiom,
    ( mlocal
    = ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ) ).

thf('4',plain,
    ( mlocal
    = ( ^ [Phi: mworld > $o] : ( Phi @ mactual ) ) ),
    inference(simplify_rw_rule,[status(thm)],[mlocal_def]) ).

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

thf(cl5_nebula_array_0001,conjecture,
    mlocal @ ( mbox @ ( mimplies @ ( mbox @ true ) @ ( mbox @ true ) ) ) ).

thf(zf_stmt_0,conjecture,
    ! [X4: mworld] :
      ( ( mrel @ mactual @ X4 )
     => ( ! [X6: mworld] :
            ( ( mrel @ X4 @ X6 )
           => ( true @ X6 ) )
       => ! [X8: mworld] :
            ( ( mrel @ X4 @ X8 )
           => ( true @ X8 ) ) ) ) ).

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

thf(zip_derived_cl4,plain,
    ~ ( true @ sk__2 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl6,plain,
    ! [X0: mworld] :
      ( ( true @ X0 )
      | ~ ( mrel @ sk__1 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl5,plain,
    mrel @ sk__1 @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl9,plain,
    true @ sk__2,
    inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl5]) ).

thf(zip_derived_cl13,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl4,zip_derived_cl9]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL954^19 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.nxnMM1HFJ8 true
% 0.16/0.40  % Computer : n014.cluster.edu
% 0.16/0.40  % Model    : x86_64 x86_64
% 0.16/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.40  % Memory   : 8046.5625MB
% 0.16/0.40  % OS       : Linux 6.8.0-71-generic
% 0.16/0.40  % CPULimit : 300
% 0.16/0.40  % WCLimit  : 300
% 0.16/0.40  % DateTime : Fri Sep  4 14:27:44 UTC 2026
% 0.16/0.40  % CPUTime  : 
% 0.16/0.40  % Running portfolio for 300 s
% 0.16/0.40  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.41  % Number of cores: 8
% 0.16/0.44  % Python version: Python 3.12.3
% 0.16/0.44  % Running in HO mode
% 0.36/0.86  % Total configuration time : 828
% 0.36/0.86  % Estimated wc time : 1656
% 0.36/0.86  % Estimated cpu time (8 cpus) : 207.0
% 0.39/0.96  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.39/0.98  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.39/1.02  % Solved by lams/40_c.s.sh.
% 0.39/1.02  % done 7 iterations in 0.031s
% 0.39/1.02  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.39/1.02  % SZS output start Refutation
% See solution above
% 0.39/1.03  
% 0.39/1.03  
% 0.39/1.03  % Terminating...
% 1.08/1.12  % Runner terminated.
% 1.08/1.14  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------