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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU919^5 : 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.dEtGof2ct3 true

% Computer : n024.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 04:56:51 PM UTC 2025

% Result   : Theorem 0.51s 0.83s
% Output   : Refutation 0.51s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   11 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   18 (   7 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   71 (   4   ~;   0   |;   0   &;  60   @)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   14 (  12   ^;   2   !;   0   ?;  14   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a_type,type,
    a: $i ).

thf(g_type,type,
    g: $i > $i ).

thf(cP_type,type,
    cP: $i > $o ).

thf(f_type,type,
    f: $i > $i ).

thf(cTHM127_pme,conjecture,
    ( ( ( ^ [Xx: $i] : ( f @ ( g @ Xx ) ) )
      = ( ^ [Xx: $i] : ( g @ ( f @ Xx ) ) ) )
   => ( ( cP @ ( f @ ( g @ a ) ) )
     => ( cP @ ( g @ ( f @ a ) ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ( ^ [Xx: $i] : ( f @ ( g @ Xx ) ) )
        = ( ^ [Xx: $i] : ( g @ ( f @ Xx ) ) ) )
     => ( ( cP @ ( f @ ( g @ a ) ) )
       => ( cP @ ( g @ ( f @ a ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM127_pme]) ).

thf(zip_derived_cl0,plain,
    ~ ( ( ( ^ [Y0: $i] : ( f @ ( g @ Y0 ) ) )
        = ( ^ [Y0: $i] : ( g @ ( f @ Y0 ) ) ) )
     => ( ( cP @ ( f @ ( g @ a ) ) )
       => ( cP @ ( g @ ( f @ a ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ~ ( ( cP @ ( f @ ( g @ a ) ) )
     => ( cP @ ( g @ ( f @ a ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl5,plain,
    ~ ( cP @ ( g @ ( f @ a ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl1,plain,
    ( ( ^ [Y0: $i] : ( f @ ( g @ Y0 ) ) )
    = ( ^ [Y0: $i] : ( g @ ( f @ Y0 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl3,plain,
    ( ( ^ [Y0: $i] : ( f @ ( g @ Y0 ) ) )
    = ( ^ [Y0: $i] : ( g @ ( f @ Y0 ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl6,plain,
    ! [X1: $i] :
      ( ( ^ [Y0: $i] : ( f @ ( g @ Y0 ) )
        @ X1 )
      = ( ^ [Y0: $i] : ( g @ ( f @ Y0 ) )
        @ X1 ) ),
    inference(ho_complete_eq,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl7,plain,
    ! [X1: $i] :
      ( ( f @ ( g @ X1 ) )
      = ( g @ ( f @ X1 ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl4,plain,
    cP @ ( f @ ( g @ a ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl8,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl7,zip_derived_cl4]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SEU919^5 : TPTP v9.2.0. Released v4.0.0.
% 0.03/0.12  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dEtGof2ct3 true
% 0.11/0.33  % Computer : n024.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit : 300
% 0.11/0.33  % WCLimit  : 300
% 0.11/0.33  % DateTime : Wed Oct  1 16:04:08 EDT 2025
% 0.11/0.33  % CPUTime  : 
% 0.11/0.33  % Running portfolio for 300 s
% 0.11/0.33  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.33  % Number of cores: 8
% 0.11/0.33  % Python version: Python 3.6.8
% 0.11/0.34  % Running in HO mode
% 0.51/0.64  % Total configuration time : 828
% 0.51/0.64  % Estimated wc time : 1656
% 0.51/0.64  % Estimated cpu time (8 cpus) : 207.0
% 0.51/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.51/0.77  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.51/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.51/0.79  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.51/0.80  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.51/0.80  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.51/0.80  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.51/0.83  % Solved by lams/35_full_unif4.sh.
% 0.51/0.83  % done 3 iterations in 0.010s
% 0.51/0.83  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.51/0.83  % SZS output start Refutation
% See solution above
% 0.51/0.83  
% 0.51/0.83  
% 0.51/0.83  % Terminating...
% 1.85/0.94  % Runner terminated.
% 1.88/0.96  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------