↑ Up

Zipperpin---2.1.9999.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU928^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3bIo2RwF97 true

% Computer : n020.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 04:56:52 PM UTC 2025

% Result   : Theorem 0.64s 0.86s
% Output   : Refutation 0.64s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   22 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   60 (  44 equ;   0 cnn)
%            Maximal formula atoms :    9 (   2 avg)
%            Number of connectives :  130 (  13   ~;   5   |;   0   &;  79   @)
%                                         (   0 <=>;  18  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    3 (   3   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   3 usr;   4 con; 0-2 aty)
%                                         (  15  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   36 (  15   ^;  21   !;   0   ?;  36   :)

% Comments : 
%------------------------------------------------------------------------------
thf('#sk3_type',type,
    '#sk3': $i ).

thf('#sk1_type',type,
    '#sk1': $i > $i ).

thf('#sk2_type',type,
    '#sk2': $i ).

thf(cTHM48A_pme,conjecture,
    ! [F: $i > $i] :
      ( ! [Xx: $i,Xy: $i] :
          ( ( ( F @ Xx )
            = ( F @ Xy ) )
         => ( Xx = Xy ) )
     => ! [Xx: $i,Xy: $i] :
          ( ( ( F @ ( F @ Xx ) )
            = ( F @ ( F @ Xy ) ) )
         => ( Xx = Xy ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [F: $i > $i] :
        ( ! [Xx: $i,Xy: $i] :
            ( ( ( F @ Xx )
              = ( F @ Xy ) )
           => ( Xx = Xy ) )
       => ! [Xx: $i,Xy: $i] :
            ( ( ( F @ ( F @ Xx ) )
              = ( F @ ( F @ Xy ) ) )
           => ( Xx = Xy ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM48A_pme]) ).

thf(zip_derived_cl0,plain,
    ~ ( !!
      @ ^ [Y0: $i > $i] :
          ( ( !!
            @ ^ [Y1: $i] :
                ( !!
                @ ^ [Y2: $i] :
                    ( ( ( Y0 @ Y1 )
                      = ( Y0 @ Y2 ) )
                   => ( Y1 = Y2 ) ) ) )
         => ( !!
            @ ^ [Y1: $i] :
                ( !!
                @ ^ [Y2: $i] :
                    ( ( ( Y0 @ ( Y0 @ Y1 ) )
                      = ( Y0 @ ( Y0 @ Y2 ) ) )
                   => ( Y1 = Y2 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ~ ( ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( ( '#sk1' @ Y0 )
                  = ( '#sk1' @ Y1 ) )
               => ( Y0 = Y1 ) ) ) )
     => ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( ( '#sk1' @ ( '#sk1' @ Y0 ) )
                  = ( '#sk1' @ ( '#sk1' @ Y1 ) ) )
               => ( Y0 = Y1 ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl3,plain,
    ~ ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( ( ( '#sk1' @ ( '#sk1' @ Y0 ) )
                = ( '#sk1' @ ( '#sk1' @ Y1 ) ) )
             => ( Y0 = Y1 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl5,plain,
    ~ ( !!
      @ ^ [Y0: $i] :
          ( ( ( '#sk1' @ ( '#sk1' @ '#sk2' ) )
            = ( '#sk1' @ ( '#sk1' @ Y0 ) ) )
         => ( '#sk2' = Y0 ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl7,plain,
    ~ ( ( ( '#sk1' @ ( '#sk1' @ '#sk2' ) )
        = ( '#sk1' @ ( '#sk1' @ '#sk3' ) ) )
     => ( '#sk2' = '#sk3' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl9,plain,
    ( ( '#sk1' @ ( '#sk1' @ '#sk2' ) )
    = ( '#sk1' @ ( '#sk1' @ '#sk3' ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl12,plain,
    ( ( '#sk1' @ ( '#sk1' @ '#sk2' ) )
    = ( '#sk1' @ ( '#sk1' @ '#sk3' ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl2,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( ( ( '#sk1' @ Y0 )
              = ( '#sk1' @ Y1 ) )
           => ( Y0 = Y1 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl4,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( ( '#sk1' @ X2 )
            = ( '#sk1' @ Y0 ) )
         => ( X2 = Y0 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl6,plain,
    ! [X2: $i,X4: $i] :
      ( ( ( '#sk1' @ X2 )
        = ( '#sk1' @ X4 ) )
     => ( X2 = X4 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl8,plain,
    ! [X2: $i,X4: $i] :
      ( ( ( '#sk1' @ X2 )
       != ( '#sk1' @ X4 ) )
      | ( X2 = X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl11,plain,
    ! [X2: $i,X4: $i] :
      ( ( ( '#sk1' @ X2 )
       != ( '#sk1' @ X4 ) )
      | ( X2 = X4 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl16,plain,
    ! [X0: $i] :
      ( ( ( '#sk1' @ X0 )
       != ( '#sk1' @ ( '#sk1' @ '#sk3' ) ) )
      | ( X0
        = ( '#sk1' @ '#sk2' ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl12,zip_derived_cl11]) ).

thf(zip_derived_cl27,plain,
    ( ( '#sk1' @ '#sk3' )
    = ( '#sk1' @ '#sk2' ) ),
    inference(eq_res,[status(thm)],[zip_derived_cl16]) ).

thf(zip_derived_cl11_001,plain,
    ! [X2: $i,X4: $i] :
      ( ( ( '#sk1' @ X2 )
       != ( '#sk1' @ X4 ) )
      | ( X2 = X4 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl35,plain,
    ! [X0: $i] :
      ( ( ( '#sk1' @ X0 )
       != ( '#sk1' @ '#sk2' ) )
      | ( X0 = '#sk3' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl27,zip_derived_cl11]) ).

thf(zip_derived_cl47,plain,
    '#sk2' = '#sk3',
    inference(eq_res,[status(thm)],[zip_derived_cl35]) ).

thf(zip_derived_cl10,plain,
    '#sk2' != '#sk3',
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl13,plain,
    '#sk2' != '#sk3',
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl52,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl47,zip_derived_cl13]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SEU928^5 : TPTP v9.2.0. Released v4.0.0.
% 0.10/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3bIo2RwF97 true
% 0.13/0.35  % Computer : n020.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Wed Oct  1 16:13:38 EDT 2025
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/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
% 0.58/0.68  % Total configuration time : 828
% 0.58/0.68  % Estimated wc time : 1656
% 0.58/0.68  % Estimated cpu time (8 cpus) : 207.0
% 0.63/0.80  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.63/0.81  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.63/0.83  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.63/0.84  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.63/0.84  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.63/0.85  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.64/0.86  % Solved by lams/35_full_unif4.sh.
% 0.64/0.86  % done 6 iterations in 0.020s
% 0.64/0.86  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.64/0.86  % SZS output start Refutation
% See solution above
% 0.64/0.86  
% 0.64/0.86  
% 0.64/0.86  % Terminating...
% 0.66/0.91  % Runner terminated.
% 1.81/0.93  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------