↑ Up

Zipperpin---2.1.9999.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO894^8 : TPTP v9.2.0. 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.PIJDWH74kU true

% Computer : n018.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 Oct  2 05:08:30 PM UTC 2025

% Result   : Theorem 0.48s 0.71s
% Output   : Refutation 0.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   48 (  28 unt;   0 typ;   0 def)
%            Number of atoms       :  116 (  18 equ;   0 cnn)
%            Maximal formula atoms :   10 (   2 avg)
%            Number of connectives :  227 (  40   ~;  29   |;   5   &; 140   @)
%                                         (   5 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   24 (  24   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  11 usr;   4 con; 0-3 aty)
%            Number of variables   :   60 (  39   ^;  16   !;   5   ?;  60   :)

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

thf(sk__2_type,type,
    sk__2: mworld ).

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

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

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

thf(mactual_type,type,
    mactual: mworld ).

thf(mequiv_type,type,
    mequiv: ( 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(sk__3_type,type,
    sk__3: mworld ).

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(mequiv_def,axiom,
    ( mequiv
    = ( ^ [A: mworld > $o,B: mworld > $o,W: mworld] :
          ( ( A @ W )
        <=> ( B @ W ) ) ) ) ).

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

thf('5',plain,
    ( mequiv
    = ( ^ [V_1: mworld > $o,V_2: mworld > $o,V_3: mworld] :
          ( ( V_1 @ V_3 )
        <=> ( V_2 @ V_3 ) ) ) ),
    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(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 @ ( mequiv @ ( mbox @ ( mimplies @ p @ ( mnot @ p ) ) ) @ ( mnot @ ( mdia @ p ) ) ) ).

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

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

thf(zip_derived_cl3,plain,
    ( ( p @ sk__2 )
    | ( mrel @ mactual @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl5,plain,
    ( ( mrel @ mactual @ sk__2 )
    | ( mrel @ mactual @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl5_001,plain,
    ( ( mrel @ mactual @ sk__2 )
    | ( mrel @ mactual @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl1,plain,
    ! [X0: mworld,X1: mworld] :
      ( ~ ( mrel @ mactual @ X0 )
      | ~ ( p @ X0 )
      | ~ ( mrel @ mactual @ X1 )
      | ~ ( p @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl6,plain,
    ! [X0: mworld] :
      ( ( mrel @ mactual @ sk__2 )
      | ~ ( p @ X0 )
      | ~ ( mrel @ mactual @ X0 )
      | ~ ( p @ sk__3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl1]) ).

thf(zip_derived_cl4,plain,
    ( ( mrel @ mactual @ sk__2 )
    | ( p @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl16,plain,
    ! [X0: mworld] :
      ( ~ ( mrel @ mactual @ X0 )
      | ~ ( p @ X0 )
      | ( mrel @ mactual @ sk__2 ) ),
    inference(clc,[status(thm)],[zip_derived_cl6,zip_derived_cl4]) ).

thf(zip_derived_cl17,plain,
    ( ( mrel @ mactual @ sk__2 )
    | ( mrel @ mactual @ sk__2 )
    | ~ ( p @ sk__3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl16]) ).

thf(zip_derived_cl21,plain,
    ( ~ ( p @ sk__3 )
    | ( mrel @ mactual @ sk__2 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl4_002,plain,
    ( ( mrel @ mactual @ sk__2 )
    | ( p @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl25,plain,
    mrel @ mactual @ sk__2,
    inference(clc,[status(thm)],[zip_derived_cl21,zip_derived_cl4]) ).

thf(zip_derived_cl1_003,plain,
    ! [X0: mworld,X1: mworld] :
      ( ~ ( mrel @ mactual @ X0 )
      | ~ ( p @ X0 )
      | ~ ( mrel @ mactual @ X1 )
      | ~ ( p @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl26,plain,
    ! [X0: mworld] :
      ( ~ ( p @ X0 )
      | ~ ( mrel @ mactual @ X0 )
      | ~ ( p @ sk__2 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl25,zip_derived_cl1]) ).

thf(zip_derived_cl30,plain,
    ( ~ ( mrel @ mactual @ sk__2 )
    | ~ ( p @ sk__2 ) ),
    inference(eq_fact,[status(thm)],[zip_derived_cl26]) ).

thf(zip_derived_cl25_004,plain,
    mrel @ mactual @ sk__2,
    inference(clc,[status(thm)],[zip_derived_cl21,zip_derived_cl4]) ).

thf(zip_derived_cl33,plain,
    ~ ( p @ sk__2 ),
    inference(demod,[status(thm)],[zip_derived_cl30,zip_derived_cl25]) ).

thf(zip_derived_cl36,plain,
    mrel @ mactual @ sk__3,
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl33]) ).

thf(zip_derived_cl36_005,plain,
    mrel @ mactual @ sk__3,
    inference('sup-',[status(thm)],[zip_derived_cl3,zip_derived_cl33]) ).

thf(zip_derived_cl1_006,plain,
    ! [X0: mworld,X1: mworld] :
      ( ~ ( mrel @ mactual @ X0 )
      | ~ ( p @ X0 )
      | ~ ( mrel @ mactual @ X1 )
      | ~ ( p @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl40,plain,
    ! [X0: mworld] :
      ( ~ ( p @ X0 )
      | ~ ( mrel @ mactual @ X0 )
      | ~ ( p @ sk__3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl1]) ).

thf(zip_derived_cl2,plain,
    ( ( p @ sk__2 )
    | ( p @ sk__3 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl33_007,plain,
    ~ ( p @ sk__2 ),
    inference(demod,[status(thm)],[zip_derived_cl30,zip_derived_cl25]) ).

thf(zip_derived_cl35,plain,
    p @ sk__3,
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl33]) ).

thf(zip_derived_cl42,plain,
    ! [X0: mworld] :
      ( ~ ( p @ X0 )
      | ~ ( mrel @ mactual @ X0 ) ),
    inference(demod,[status(thm)],[zip_derived_cl40,zip_derived_cl35]) ).

thf(zip_derived_cl44,plain,
    ~ ( p @ sk__3 ),
    inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl42]) ).

thf(zip_derived_cl35_008,plain,
    p @ sk__3,
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl33]) ).

thf(zip_derived_cl50,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl44,zip_derived_cl35]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SYO894^8 : TPTP v9.2.0. Released v8.1.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.PIJDWH74kU true
% 0.12/0.35  % Computer : n018.cluster.edu
% 0.12/0.35  % Model    : x86_64 x86_64
% 0.12/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.35  % Memory   : 8042.1875MB
% 0.12/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.35  % CPULimit : 300
% 0.12/0.35  % WCLimit  : 300
% 0.12/0.35  % DateTime : Wed Oct  1 17:52:23 EDT 2025
% 0.12/0.35  % CPUTime  : 
% 0.12/0.35  % Running portfolio for 300 s
% 0.12/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35  % Number of cores: 8
% 0.12/0.36  % Python version: Python 3.6.8
% 0.12/0.36  % Running in HO mode
% 0.42/0.60  % Total configuration time : 828
% 0.42/0.60  % Estimated wc time : 1656
% 0.42/0.60  % Estimated cpu time (8 cpus) : 207.0
% 0.48/0.67  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.48/0.70  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.48/0.71  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.48/0.71  % Solved by lams/40_c.s.sh.
% 0.48/0.71  % done 19 iterations in 0.015s
% 0.48/0.71  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.48/0.71  % SZS output start Refutation
% See solution above
% 0.48/0.71  
% 0.48/0.71  
% 0.48/0.71  % Terminating...
% 1.70/0.82  % Runner terminated.
% 1.70/0.83  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------