↑ Up

Zipperpin---2.1.9999.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU354+2 : TPTP v9.2.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.AkgcI8DwL1 true

% Computer : n031.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 04:54:21 PM UTC 2025

% Result   : Theorem 4.14s 1.20s
% Output   : Refutation 4.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   25 (  10 unt;   0 typ;   0 def)
%            Number of atoms       :   49 (  23 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  128 (  24   ~;  17   |;   0   &;  80   @)
%                                         (   4 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   21 (   0   ^;  21   !;   0   ?;  21   :)

% Comments : 
%------------------------------------------------------------------------------
thf(proper_element_type,type,
    proper_element: $i > $i > $o ).

thf(union_type,type,
    union: $i > $i ).

thf(sk__78_type,type,
    sk__78: $i ).

thf(powerset_type,type,
    powerset: $i > $i ).

thf(element_type,type,
    element: $i > $i > $o ).

thf(sk__77_type,type,
    sk__77: $i ).

thf(subset_type,type,
    subset: $i > $i > $o ).

thf(d2_tex_2,axiom,
    ! [A: $i,B: $i] :
      ( ( element @ B @ A )
     => ( ( proper_element @ B @ A )
      <=> ( B
         != ( union @ A ) ) ) ) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i,X1: $i] :
      ( ( X1
        = ( union @ X0 ) )
      | ( proper_element @ X1 @ X0 )
      | ~ ( element @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[d2_tex_2]) ).

thf(t5_tex_2,conjecture,
    ! [A: $i,B: $i] :
      ( ( element @ B @ ( powerset @ A ) )
     => ( ( proper_element @ B @ ( powerset @ A ) )
      <=> ( B != A ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [A: $i,B: $i] :
        ( ( element @ B @ ( powerset @ A ) )
       => ( ( proper_element @ B @ ( powerset @ A ) )
        <=> ( B != A ) ) ),
    inference('cnf.neg',[status(esa)],[t5_tex_2]) ).

thf(zip_derived_cl244,plain,
    ( ( sk__78 = sk__77 )
    | ~ ( proper_element @ sk__78 @ ( powerset @ sk__77 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1383,plain,
    ( ~ ( element @ sk__78 @ ( powerset @ sk__77 ) )
    | ( sk__78
      = ( union @ ( powerset @ sk__77 ) ) )
    | ( sk__78 = sk__77 ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl27,zip_derived_cl244]) ).

thf(zip_derived_cl243,plain,
    element @ sk__78 @ ( powerset @ sk__77 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(t99_zfmisc_1,axiom,
    ! [A: $i] :
      ( ( union @ ( powerset @ A ) )
      = A ) ).

thf(zip_derived_cl242,plain,
    ! [X0: $i] :
      ( ( union @ ( powerset @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[t99_zfmisc_1]) ).

thf(zip_derived_cl3544,plain,
    ( ( sk__78 = sk__77 )
    | ( sk__78 = sk__77 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1383,zip_derived_cl243,zip_derived_cl242]) ).

thf(zip_derived_cl3545,plain,
    sk__78 = sk__77,
    inference(simplify,[status(thm)],[zip_derived_cl3544]) ).

thf(zip_derived_cl245,plain,
    ( ( sk__78 != sk__77 )
    | ( proper_element @ sk__78 @ ( powerset @ sk__77 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl28,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( proper_element @ X0 @ X1 )
      | ( X0
       != ( union @ X1 ) )
      | ~ ( element @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[d2_tex_2]) ).

thf(zip_derived_cl1384,plain,
    ( ( sk__78 != sk__77 )
    | ~ ( element @ sk__78 @ ( powerset @ sk__77 ) )
    | ( sk__78
     != ( union @ ( powerset @ sk__77 ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl245,zip_derived_cl28]) ).

thf(zip_derived_cl1710,plain,
    ( ( sk__78 != sk__77 )
    | ~ ( element @ sk__77 @ ( powerset @ sk__77 ) )
    | ( sk__77
     != ( union @ ( powerset @ sk__77 ) ) ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl1384]) ).

thf(zip_derived_cl242_001,plain,
    ! [X0: $i] :
      ( ( union @ ( powerset @ X0 ) )
      = X0 ),
    inference(cnf,[status(esa)],[t99_zfmisc_1]) ).

thf(zip_derived_cl1711,plain,
    ( ( sk__78 != sk__77 )
    | ~ ( element @ sk__77 @ ( powerset @ sk__77 ) )
    | ( sk__77 != sk__77 ) ),
    inference(demod,[status(thm)],[zip_derived_cl1710,zip_derived_cl242]) ).

thf(zip_derived_cl1712,plain,
    ( ~ ( element @ sk__77 @ ( powerset @ sk__77 ) )
    | ( sk__78 != sk__77 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl1711]) ).

thf(t3_subset,axiom,
    ! [A: $i,B: $i] :
      ( ( element @ A @ ( powerset @ B ) )
    <=> ( subset @ A @ B ) ) ).

thf(zip_derived_cl232,plain,
    ! [X0: $i,X1: $i] :
      ( ( element @ X0 @ ( powerset @ X1 ) )
      | ~ ( subset @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[t3_subset]) ).

thf(reflexivity_r1_tarski,axiom,
    ! [A: $i,B: $i] : ( subset @ A @ A ) ).

thf(zip_derived_cl83,plain,
    ! [X0: $i] : ( subset @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity_r1_tarski]) ).

thf(zip_derived_cl1719,plain,
    ! [X0: $i] : ( element @ X0 @ ( powerset @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl232,zip_derived_cl83]) ).

thf(zip_derived_cl1724,plain,
    sk__78 != sk__77,
    inference(demod,[status(thm)],[zip_derived_cl1712,zip_derived_cl1719]) ).

thf(zip_derived_cl3546,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl3545,zip_derived_cl1724]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SEU354+2 : TPTP v9.2.0. Released v3.3.0.
% 0.07/0.12  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.AkgcI8DwL1 true
% 0.13/0.33  % Computer : n031.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Wed Oct  1 16:16:08 EDT 2025
% 0.13/0.33  % CPUTime  : 
% 0.13/0.33  % Running portfolio for 300 s
% 0.13/0.33  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33  % Number of cores: 8
% 0.13/0.33  % Python version: Python 3.6.8
% 0.13/0.34  % Running in FO mode
% 0.42/0.62  % Total configuration time : 435
% 0.42/0.62  % Estimated wc time : 1092
% 0.42/0.62  % Estimated cpu time (7 cpus) : 156.0
% 0.54/0.69  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.54/0.73  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.54/0.73  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.54/0.73  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.54/0.74  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.74  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.54/0.74  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 4.14/1.20  % Solved by fo/fo3_bce.sh.
% 4.14/1.20  % BCE start: 246
% 4.14/1.20  % BCE eliminated: 9
% 4.14/1.20  % PE start: 237
% 4.14/1.20  logic: eq
% 4.14/1.20  % PE eliminated: -1
% 4.14/1.20  % done 698 iterations in 0.448s
% 4.14/1.20  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 4.14/1.20  % SZS output start Refutation
% See solution above
% 4.14/1.20  
% 4.14/1.20  
% 4.14/1.20  % Terminating...
% 4.14/1.24  % Runner terminated.
% 4.14/1.24  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------