↑ Up

Zipperpin---2.1.9999.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM695^1 : TPTP v9.2.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jqjkJBtRct true

% Computer : n017.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 04:48:02 PM UTC 2025

% Result   : Theorem 0.58s 0.82s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (  10 unt;   0 typ;   0 def)
%            Number of atoms       :   17 (   4 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   50 (   2   ~;   0   |;   0   &;  44   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   5 usr;   4 con; 0-2 aty)
%                                         (   4  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   13 (   4   ^;   9   !;   0   ?;  13   :)

% Comments : 
%------------------------------------------------------------------------------
thf(nat_type,type,
    nat: $tType ).

thf(n_1_type,type,
    n_1: nat ).

thf(more_type,type,
    more: nat > nat > $o ).

thf(pl_type,type,
    pl: nat > nat > nat ).

thf(suc_type,type,
    suc: nat > nat ).

thf(x_type,type,
    x: nat ).

thf(satz24b,conjecture,
    more @ ( suc @ x ) @ n_1 ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( more @ ( suc @ x ) @ n_1 ),
    inference('cnf.neg',[status(esa)],[satz24b]) ).

thf(zip_derived_cl5,plain,
    ~ ( more @ ( suc @ x ) @ n_1 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(satz4g,axiom,
    ! [Xx: nat] :
      ( ( suc @ Xx )
      = ( pl @ n_1 @ Xx ) ) ).

thf(zip_derived_cl4,plain,
    ( !!
    @ ^ [Y0: nat] :
        ( ( suc @ Y0 )
        = ( pl @ n_1 @ Y0 ) ) ),
    inference(cnf,[status(esa)],[satz4g]) ).

thf(zip_derived_cl11,plain,
    ! [X2: nat] :
      ( ( suc @ X2 )
      = ( pl @ n_1 @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl12,plain,
    ! [X2: nat] :
      ( ( suc @ X2 )
      = ( pl @ n_1 @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl11]) ).

thf(satz18,axiom,
    ! [Xx: nat,Xy: nat] : ( more @ ( pl @ Xx @ Xy ) @ Xx ) ).

thf(zip_derived_cl3,plain,
    ( !!
    @ ^ [Y0: nat] :
        ( !!
        @ ^ [Y1: nat] : ( more @ ( pl @ Y0 @ Y1 ) @ Y0 ) ) ),
    inference(cnf,[status(esa)],[satz18]) ).

thf(zip_derived_cl9,plain,
    ! [X2: nat] :
      ( !!
      @ ^ [Y0: nat] : ( more @ ( pl @ X2 @ Y0 ) @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl10,plain,
    ! [X2: nat,X4: nat] : ( more @ ( pl @ X2 @ X4 ) @ X2 ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl13,plain,
    ! [X0: nat] : ( more @ ( suc @ X0 ) @ n_1 ),
    inference('sup+',[status(thm)],[zip_derived_cl12,zip_derived_cl10]) ).

thf(zip_derived_cl26,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl13]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : NUM695^1 : TPTP v9.2.0. Released v3.7.0.
% 0.06/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.jqjkJBtRct true
% 0.14/0.34  % Computer : n017.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Wed Oct  1 16:16:38 EDT 2025
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running portfolio for 300 s
% 0.14/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.34  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in HO mode
% 0.53/0.67  % Total configuration time : 828
% 0.53/0.67  % Estimated wc time : 1656
% 0.53/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.55/0.78  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.55/0.78  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.55/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.55/0.79  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.55/0.79  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.55/0.79  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.55/0.80  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.58/0.82  % Solved by lams/35_full_unif4.sh.
% 0.58/0.82  % done 7 iterations in 0.011s
% 0.58/0.82  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.58/0.82  % SZS output start Refutation
% See solution above
% 0.58/0.82  
% 0.58/0.82  
% 0.58/0.82  % Terminating...
% 0.60/0.87  % Runner terminated.
% 0.60/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------