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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO350^5 : TPTP v9.2.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.SDDSnn34em true

% Computer : n016.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 05:07:17 PM UTC 2025

% Result   : Theorem 0.55s 0.74s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   13 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :   22 (   9 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   41 (   6   ~;   0   |;   0   &;  26   @)
%                                         (   0 <=>;   7  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   3 usr;   2 con; 0-2 aty)
%                                         (   2  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :    8 (   4   ^;   4   !;   0   ?;   8   :)

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

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

thf(p_type,type,
    p: ( $i > $i ) > $o ).

thf(cE1FUNC,conjecture,
    ( ! [X: $i] :
        ( ( f @ X )
        = ( g @ X ) )
   => ( ( p @ f )
     => ( p @ g ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ! [X: $i] :
          ( ( f @ X )
          = ( g @ X ) )
     => ( ( p @ f )
       => ( p @ g ) ) ),
    inference('cnf.neg',[status(esa)],[cE1FUNC]) ).

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

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

thf(zip_derived_cl3,plain,
    ! [X2: $i] :
      ( ( f @ X2 )
      = ( g @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl6,plain,
    ! [X2: $i] :
      ( ( f @ X2 )
      = ( g @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl10,plain,
    f = g,
    inference(ho_ext_pos_general,[status(thm)],[zip_derived_cl6]) ).

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

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

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

thf(zip_derived_cl7,plain,
    ( ( ^ [Y0: $i] : ( f @ Y0 ) )
   != ( ^ [Y0: $i] : ( g @ Y0 ) ) ),
    inference(ext_sup,[status(thm)],[zip_derived_cl4,zip_derived_cl5]) ).

thf(zip_derived_cl8,plain,
    f != g,
    inference(ho_norm,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl11,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl10,zip_derived_cl8]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYO350^5 : TPTP v9.2.0. Released v4.0.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.SDDSnn34em true
% 0.13/0.33  % Computer : n016.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Wed Oct  1 18:05:08 EDT 2025
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.34  % Running in HO mode
% 0.54/0.62  % Total configuration time : 828
% 0.54/0.62  % Estimated wc time : 1656
% 0.54/0.62  % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.70  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.55/0.72  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.55/0.72  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.55/0.74  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.55/0.74  % Solved by lams/35_full_unif4.sh.
% 0.55/0.74  % done 3 iterations in 0.006s
% 0.55/0.74  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.55/0.74  % SZS output start Refutation
% See solution above
% 0.55/0.74  
% 0.55/0.74  
% 0.55/0.74  % Terminating...
% 0.62/0.83  % Runner terminated.
% 0.62/0.84  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------