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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM703^1 : TPTP v9.2.0. Released v3.7.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.SkujZKf0Qh 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 04:48:04 PM UTC 2025

% Result   : Theorem 0.41s 0.77s
% Output   : Refutation 0.41s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   17 (  10 unt;   0 typ;   0 def)
%            Number of atoms       :   27 (   4 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   77 (   3   ~;   1   |;   0   &;  64   @)
%                                         (   0 <=>;   5  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   5 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   10 (   7 usr;   5 con; 0-2 aty)
%                                         (   4  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   16 (   4   ^;  12   !;   0   ?;  16   :)

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

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

thf(y_type,type,
    y: nat ).

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

thf(n_1_type,type,
    n_1: nat ).

thf(moreis_type,type,
    moreis: nat > nat > $o ).

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

thf(x_type,type,
    x: nat ).

thf(satz26c,conjecture,
    moreis @ y @ x ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( moreis @ y @ x ),
    inference('cnf.neg',[status(esa)],[satz26c]) ).

thf(zip_derived_cl3,plain,
    ~ ( moreis @ y @ x ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(satz26b,axiom,
    ! [Xx: nat,Xy: nat] :
      ( ( more @ ( pl @ Xy @ n_1 ) @ Xx )
     => ( moreis @ Xy @ Xx ) ) ).

thf(zip_derived_cl1,plain,
    ( !!
    @ ^ [Y0: nat] :
        ( !!
        @ ^ [Y1: nat] :
            ( ( more @ ( pl @ Y1 @ n_1 ) @ Y0 )
           => ( moreis @ Y1 @ Y0 ) ) ) ),
    inference(cnf,[status(esa)],[satz26b]) ).

thf(zip_derived_cl6,plain,
    ! [X2: nat] :
      ( !!
      @ ^ [Y0: nat] :
          ( ( more @ ( pl @ Y0 @ n_1 ) @ X2 )
         => ( moreis @ Y0 @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl7,plain,
    ! [X2: nat,X4: nat] :
      ( ( more @ ( pl @ X4 @ n_1 ) @ X2 )
     => ( moreis @ X4 @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl6]) ).

thf(satz4e,axiom,
    ! [Xx: nat] :
      ( ( suc @ Xx )
      = ( pl @ Xx @ n_1 ) ) ).

thf(zip_derived_cl2,plain,
    ( !!
    @ ^ [Y0: nat] :
        ( ( suc @ Y0 )
        = ( pl @ Y0 @ n_1 ) ) ),
    inference(cnf,[status(esa)],[satz4e]) ).

thf(zip_derived_cl4,plain,
    ! [X2: nat] :
      ( ( suc @ X2 )
      = ( pl @ X2 @ n_1 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl5,plain,
    ! [X2: nat] :
      ( ( suc @ X2 )
      = ( pl @ X2 @ n_1 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl8,plain,
    ! [X2: nat,X4: nat] :
      ( ( more @ ( suc @ X4 ) @ X2 )
     => ( moreis @ X4 @ X2 ) ),
    inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl5]) ).

thf(zip_derived_cl9,plain,
    ! [X2: nat,X4: nat] :
      ( ~ ( more @ ( suc @ X4 ) @ X2 )
      | ( moreis @ X4 @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).

thf(m,axiom,
    more @ ( suc @ y ) @ x ).

thf(zip_derived_cl0,plain,
    more @ ( suc @ y ) @ x,
    inference(cnf,[status(esa)],[m]) ).

thf(zip_derived_cl10,plain,
    moreis @ y @ x,
    inference('sup+',[status(thm)],[zip_derived_cl9,zip_derived_cl0]) ).

thf(zip_derived_cl14,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl3,zip_derived_cl10]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.13  % Problem  : NUM703^1 : TPTP v9.2.0. Released v3.7.0.
% 0.02/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.SkujZKf0Qh true
% 0.07/0.34  % Computer : n017.cluster.edu
% 0.07/0.34  % Model    : x86_64 x86_64
% 0.07/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34  % Memory   : 8042.1875MB
% 0.07/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.34  % CPULimit : 300
% 0.07/0.34  % WCLimit  : 300
% 0.07/0.34  % DateTime : Wed Oct  1 16:47:08 EDT 2025
% 0.07/0.34  % CPUTime  : 
% 0.07/0.34  % Running portfolio for 300 s
% 0.07/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.34  % Number of cores: 8
% 0.07/0.35  % Python version: Python 3.6.8
% 0.07/0.35  % Running in HO mode
% 0.36/0.61  % Total configuration time : 828
% 0.36/0.61  % Estimated wc time : 1656
% 0.36/0.61  % Estimated cpu time (8 cpus) : 207.0
% 0.39/0.71  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.39/0.71  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.39/0.72  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.41/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.41/0.75  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.41/0.77  % Solved by lams/35_full_unif4.sh.
% 0.41/0.77  % done 4 iterations in 0.007s
% 0.41/0.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.41/0.77  % SZS output start Refutation
% See solution above
% 0.41/0.77  
% 0.41/0.77  
% 0.41/0.77  % Terminating...
% 0.41/0.83  % Runner terminated.
% 1.21/0.84  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------