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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : NUM682^1 : 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.CJxoCu2EDU true

% Computer : n012.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 04:47:58 PM UTC 2025

% Result   : Theorem 0.55s 0.79s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   19 (  11 unt;   0 typ;   0 def)
%            Number of atoms       :   33 (   7 equ;   0 cnn)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :  105 (  17   ~;   6   |;   0   &;  74   @)
%                                         (   0 <=>;   8  =>;   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     :    8 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :   17 (   0   ^;  17   !;   0   ?;  17   :)

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

thf(less_type,type,
    less: nat > nat > $o ).

thf(y_type,type,
    y: nat ).

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

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

thf(z_type,type,
    z: nat ).

thf(x_type,type,
    x: nat ).

thf(l,axiom,
    less @ ( pl @ x @ z ) @ ( pl @ y @ z ) ).

thf(zip_derived_cl0,plain,
    less @ ( pl @ x @ z ) @ ( pl @ y @ z ),
    inference(cnf,[status(esa)],[l]) ).

thf(satz10a,axiom,
    ! [Xx: nat,Xy: nat] :
      ( ( Xx != Xy )
     => ( ~ ( more @ Xx @ Xy )
       => ( less @ Xx @ Xy ) ) ) ).

thf(zip_derived_cl7,plain,
    ! [X0: nat,X1: nat] :
      ( ( more @ X0 @ X1 )
      | ( less @ X0 @ X1 )
      | ( X0 = X1 ) ),
    inference(cnf,[status(esa)],[satz10a]) ).

thf(satz20c,conjecture,
    less @ x @ y ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( less @ x @ y ),
    inference('cnf.neg',[status(esa)],[satz20c]) ).

thf(zip_derived_cl8,plain,
    ~ ( less @ x @ y ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl13,plain,
    ( ( x = y )
    | ( more @ x @ y ) ),
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl8]) ).

thf(satz19a,axiom,
    ! [Xx: nat,Xy: nat,Xz: nat] :
      ( ( more @ Xx @ Xy )
     => ( more @ ( pl @ Xx @ Xz ) @ ( pl @ Xy @ Xz ) ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: nat,X1: nat,X2: nat] :
      ( ~ ( more @ X0 @ X1 )
      | ( more @ ( pl @ X0 @ X2 ) @ ( pl @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[satz19a]) ).

thf(zip_derived_cl0_001,plain,
    less @ ( pl @ x @ z ) @ ( pl @ y @ z ),
    inference(cnf,[status(esa)],[l]) ).

thf(satz10b,axiom,
    ! [Xx: nat,Xy: nat] :
      ~ ( ( ( Xx = Xy )
         => ~ ( more @ Xx @ Xy ) )
       => ( ( ( more @ Xx @ Xy )
           => ~ ( less @ Xx @ Xy ) )
         => ~ ( ( less @ Xx @ Xy )
             => ( Xx != Xy ) ) ) ) ).

thf(zip_derived_cl4,plain,
    ! [X0: nat,X1: nat] :
      ( ~ ( less @ X0 @ X1 )
      | ~ ( more @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[satz10b]) ).

thf(zip_derived_cl11,plain,
    ~ ( more @ ( pl @ x @ z ) @ ( pl @ y @ z ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl4]) ).

thf(zip_derived_cl22,plain,
    ~ ( more @ x @ y ),
    inference('sup-',[status(thm)],[zip_derived_cl5,zip_derived_cl11]) ).

thf(zip_derived_cl24,plain,
    x = y,
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl22]) ).

thf(zip_derived_cl3,plain,
    ! [X0: nat,X1: nat] :
      ( ( X1 != X0 )
      | ~ ( less @ X1 @ X0 ) ),
    inference(cnf,[status(esa)],[satz10b]) ).

thf(zip_derived_cl9,plain,
    ! [X0: nat] :
      ~ ( less @ X0 @ X0 ),
    inference(simplify,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl26,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl0,zip_derived_cl24,zip_derived_cl9]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM682^1 : TPTP v9.2.0. Released v3.7.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.CJxoCu2EDU true
% 0.14/0.35  % Computer : n012.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Wed Oct  1 16:17:53 EDT 2025
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.36  % Running in HO mode
% 0.54/0.69  % Total configuration time : 828
% 0.54/0.69  % Estimated wc time : 1656
% 0.54/0.69  % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.55/0.76  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.55/0.76  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.55/0.76  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.55/0.76  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.55/0.79  % Solved by lams/40_noforms.sh.
% 0.55/0.79  % done 15 iterations in 0.012s
% 0.55/0.79  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.79  % SZS output start Refutation
% See solution above
% 0.55/0.79  
% 0.55/0.79  
% 0.55/0.79  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.55/0.79  % Terminating...
% 1.70/0.87  % Runner terminated.
% 1.70/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------