↑ Up

Zipperpin---2.1.9999.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : PUZ102^5 : TPTP v9.2.0. Bugfixed v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.f4b8Ns1km2 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 : Thu Oct  2 04:49:42 PM UTC 2025

% Result   : Theorem 0.58s 0.73s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :   13 (   3 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   67 (   4   ~;   1   |;   5   &;  47   @)
%                                         (   0 <=>;  10  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    5 (   5   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   20 (   6   ^;  14   !;   0   ?;  20   :)

% Comments : 
%------------------------------------------------------------------------------
thf(s_type,type,
    s: $i > $i ).

thf(sk__2_type,type,
    sk__2: $i ).

thf(sk__3_type,type,
    sk__3: $i > $o ).

thf(cCKB_E2_type,type,
    cCKB_E2: $i > $i > $o ).

thf(cCKB_E2_def,axiom,
    ( cCKB_E2
    = ( ^ [Xx: $i,Xy: $i] :
        ! [Xp: $i > $o] :
          ( ( ( Xp @ Xx )
            & ! [Xu: $i] :
                ( ( Xp @ Xu )
               => ( Xp @ ( s @ ( s @ Xu ) ) ) ) )
         => ( Xp @ Xy ) ) ) ) ).

thf('0',plain,
    ( cCKB_E2
    = ( ^ [Xx: $i,Xy: $i] :
        ! [Xp: $i > $o] :
          ( ( ( Xp @ Xx )
            & ! [Xu: $i] :
                ( ( Xp @ Xu )
               => ( Xp @ ( s @ ( s @ Xu ) ) ) ) )
         => ( Xp @ Xy ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[cCKB_E2_def]) ).

thf('1',plain,
    ( cCKB_E2
    = ( ^ [V_1: $i,V_2: $i] :
        ! [X4: $i > $o] :
          ( ( ( X4 @ V_1 )
            & ! [X6: $i] :
                ( ( X4 @ X6 )
               => ( X4 @ ( s @ ( s @ X6 ) ) ) ) )
         => ( X4 @ V_2 ) ) ) ),
    define([status(thm)]) ).

thf(cCKB_L33000,conjecture,
    ! [Xx: $i] : ( cCKB_E2 @ Xx @ ( s @ ( s @ Xx ) ) ) ).

thf(zf_stmt_0,conjecture,
    ! [X4: $i,X6: $i > $o] :
      ( ( ( X6 @ X4 )
        & ! [X8: $i] :
            ( ( X6 @ X8 )
           => ( X6 @ ( s @ ( s @ X8 ) ) ) ) )
     => ( X6 @ ( s @ ( s @ X4 ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ! [X4: $i,X6: $i > $o] :
        ( ( ( X6 @ X4 )
          & ! [X8: $i] :
              ( ( X6 @ X8 )
             => ( X6 @ ( s @ ( s @ X8 ) ) ) ) )
       => ( X6 @ ( s @ ( s @ X4 ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i] :
      ( ( sk__3 @ ( s @ ( s @ X0 ) ) )
      | ~ ( sk__3 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

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

thf(zip_derived_cl3,plain,
    ~ ( sk__3 @ sk__2 ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl2]) ).

thf(zip_derived_cl0,plain,
    sk__3 @ sk__2,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl5,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl0]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : PUZ102^5 : TPTP v9.2.0. Bugfixed v5.2.0.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.f4b8Ns1km2 true
% 0.13/0.34  % Computer : n023.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Wed Oct  1 15:08:53 EDT 2025
% 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
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in HO mode
% 0.57/0.66  % Total configuration time : 828
% 0.57/0.66  % Estimated wc time : 1656
% 0.57/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.58/0.70  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.58/0.73  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.58/0.73  % Solved by lams/40_c.s.sh.
% 0.58/0.73  % done 2 iterations in 0.007s
% 0.58/0.73  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.73  % SZS output start Refutation
% See solution above
% 0.58/0.74  
% 0.58/0.74  
% 0.58/0.74  % Terminating...
% 0.58/0.76  % Runner terminated.
% 1.52/0.77  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------