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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO364^5 : 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.HI6fLw4QUQ 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 05:07:18 PM UTC 2025

% Result   : Theorem 0.53s 0.80s
% Output   : Refutation 0.53s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    1
% Syntax   : Number of formulae    :   20 (  16 unt;   0 typ;   0 def)
%            Number of atoms       :   16 (  13 equ;   0 cnn)
%            Maximal formula atoms :    1 (   0 avg)
%            Number of connectives :  110 (  10   ~;   2   |;   2   &;  88   @)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   4 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   16 (  16   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :   34 (   8   ^;  26   !;   0   ?;  34   :)

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

thf(f_type,type,
    f: ( a > a ) > a > a ).

thf(sk__type,type,
    sk_: ( a > a ) > $o ).

thf('#sk1_type',type,
    '#sk1': a ).

thf(g_type,type,
    g: ( a > a ) > a > a ).

thf(h_type,type,
    h: a > a ).

thf(j_type,type,
    j: a > a ).

thf(cEDEC_pme,conjecture,
    ( ( ! [X: a > a,Y: a,Xq: a > $o] :
          ( ( Xq @ ( f @ X @ Y ) )
         => ( Xq @ ( g @ X @ Y ) ) )
      & ! [Z: a,Xq: a > $o] :
          ( ( Xq @ ( h @ Z ) )
         => ( Xq @ ( j @ Z ) ) ) )
   => ! [Xq: ( a > a ) > $o] :
        ( ( Xq @ ( f @ h ) )
       => ( Xq @ ( g @ j ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ! [X: a > a,Y: a,Xq: a > $o] :
            ( ( Xq @ ( f @ X @ Y ) )
           => ( Xq @ ( g @ X @ Y ) ) )
        & ! [Z: a,Xq: a > $o] :
            ( ( Xq @ ( h @ Z ) )
           => ( Xq @ ( j @ Z ) ) ) )
     => ! [Xq: ( a > a ) > $o] :
          ( ( Xq @ ( f @ h ) )
         => ( Xq @ ( g @ j ) ) ) ),
    inference('cnf.neg',[status(esa)],[cEDEC_pme]) ).

thf(zip_derived_cl3,plain,
    sk_ @ ( f @ h ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ~ ( sk_ @ ( g @ j ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl4,plain,
    ( ( ^ [Y0: a] :
          ( f
          @ ^ [Y1: a] : ( h @ Y1 )
          @ Y0 ) )
   != ( ^ [Y0: a] :
          ( g
          @ ^ [Y1: a] : ( j @ Y1 )
          @ Y0 ) ) ),
    inference(ext_sup,[status(thm)],[zip_derived_cl3,zip_derived_cl2]) ).

thf(zip_derived_cl5,plain,
    ( ( f @ h )
   != ( g @ j ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl6,plain,
    ( ( f
      @ ^ [Y0: a] : ( h @ Y0 )
      @ '#sk1' )
   != ( g
      @ ^ [Y0: a] : ( j @ Y0 )
      @ '#sk1' ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl7,plain,
    ( ( f @ h @ '#sk1' )
   != ( g @ j @ '#sk1' ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl1,plain,
    ! [X3: a > $o,X4: a] :
      ( ( X3 @ ( j @ X4 ) )
      | ~ ( X3 @ ( h @ X4 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl18,plain,
    ! [X0: a] :
      ( ^ [Y0: a] :
          ( Y0
          = ( h @ X0 ) )
      @ ( j @ X0 ) ),
    inference(ho_elim_pred,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl30,plain,
    ! [X0: a] :
      ( ( j @ X0 )
      = ( h @ X0 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl31,plain,
    ! [X0: a] :
      ( ( j @ X0 )
      = ( h @ X0 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl30]) ).

thf(zip_derived_cl51,plain,
    j = h,
    inference(ho_ext_pos_general,[status(thm)],[zip_derived_cl31]) ).

thf(zip_derived_cl54,plain,
    ( ( f @ j @ '#sk1' )
   != ( g @ j @ '#sk1' ) ),
    inference(demod,[status(thm)],[zip_derived_cl7,zip_derived_cl51]) ).

thf(zip_derived_cl0,plain,
    ! [X0: a > $o,X1: a > a,X2: a] :
      ( ( X0 @ ( g @ X1 @ X2 ) )
      | ~ ( X0 @ ( f @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl68,plain,
    ! [X0: a,X1: a > a] :
      ( ^ [Y0: a] :
          ( Y0
          = ( f @ X1 @ X0 ) )
      @ ( g @ X1 @ X0 ) ),
    inference(ho_elim_pred,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl80,plain,
    ! [X0: a,X1: a > a] :
      ( ( g @ X1 @ X0 )
      = ( f @ X1 @ X0 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl68]) ).

thf(zip_derived_cl81,plain,
    ! [X0: a,X1: a > a] :
      ( ( g @ X1 @ X0 )
      = ( f @ X1 @ X0 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl80]) ).

thf(zip_derived_cl101,plain,
    ( ( g @ j @ '#sk1' )
   != ( g @ j @ '#sk1' ) ),
    inference(demod,[status(thm)],[zip_derived_cl54,zip_derived_cl81]) ).

thf(zip_derived_cl102,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl101]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : SYO364^5 : TPTP v9.2.0. Released v4.0.0.
% 0.11/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.HI6fLw4QUQ true
% 0.13/0.36  % Computer : n017.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit : 300
% 0.13/0.36  % WCLimit  : 300
% 0.13/0.36  % DateTime : Wed Oct  1 18:08:53 EDT 2025
% 0.13/0.36  % CPUTime  : 
% 0.13/0.36  % Running portfolio for 300 s
% 0.13/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.36  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in HO mode
% 0.52/0.67  % Total configuration time : 828
% 0.52/0.67  % Estimated wc time : 1656
% 0.52/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.52/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.52/0.73  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.52/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.52/0.74  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.52/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.52/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.52/0.74  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.52/0.74  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.53/0.80  % Solved by lams/40_c_ic.sh.
% 0.53/0.80  % done 16 iterations in 0.036s
% 0.53/0.80  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.53/0.80  % SZS output start Refutation
% See solution above
% 0.53/0.80  
% 0.53/0.80  
% 0.53/0.80  % Terminating...
% 1.77/0.87  % Runner terminated.
% 1.77/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------