TSTP Solution File: SYO372^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO372^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.3K6I5O0rUk true

% Computer : n028.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 : Fri Sep  1 05:50:53 EDT 2023

% Result   : Theorem 0.20s 0.71s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   21 (   8 unt;   6 typ;   0 def)
%            Number of atoms       :   36 (   6 equ;   0 cnn)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   47 (  11   ~;   5   |;   0   &;  27   @)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :    7 (   2   ^;   5   !;   0   ?;   7   :)

% Comments : 
%------------------------------------------------------------------------------
thf(b_type,type,
    b: $tType ).

thf(gtype_type,type,
    gtype: $tType ).

thf(f_type,type,
    f: b > $o ).

thf(g_type,type,
    g: b > $o ).

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

thf(h_type,type,
    h: ( b > $o ) > gtype ).

thf(cEXT_SET2,conjecture,
    ( ! [Xx: b] :
        ( ( f @ Xx )
      <=> ( g @ Xx ) )
   => ( ( h @ f )
      = ( h @ g ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ! [Xx: b] :
          ( ( f @ Xx )
        <=> ( g @ Xx ) )
     => ( ( h @ f )
        = ( h @ g ) ) ),
    inference('cnf.neg',[status(esa)],[cEXT_SET2]) ).

thf(zip_derived_cl2,plain,
    ( ( h @ f )
   != ( h @ g ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ( ( ^ [Y0: b] : ( f @ Y0 ) )
   != ( ^ [Y0: b] : ( g @ Y0 ) ) ),
    inference(ext_eqres,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl4,plain,
    f != g,
    inference(ho_norm,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl5,plain,
    ( ( f @ '#sk1' )
   != ( g @ '#sk1' ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl9,plain,
    ( ~ ( g @ '#sk1' )
    | ~ ( f @ '#sk1' ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl0,plain,
    ! [X0: b] :
      ( ( f @ X0 )
      | ~ ( g @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl11,plain,
    ~ ( g @ '#sk1' ),
    inference(clc,[status(thm)],[zip_derived_cl9,zip_derived_cl0]) ).

thf(zip_derived_cl1,plain,
    ! [X1: b] :
      ( ( g @ X1 )
      | ~ ( f @ X1 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8,plain,
    ( ( g @ '#sk1' )
    | ( f @ '#sk1' ) ),
    inference(cnf_otf,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl0_001,plain,
    ! [X0: b] :
      ( ( f @ X0 )
      | ~ ( g @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10,plain,
    f @ '#sk1',
    inference(clc,[status(thm)],[zip_derived_cl8,zip_derived_cl0]) ).

thf(zip_derived_cl12,plain,
    g @ '#sk1',
    inference('sup+',[status(thm)],[zip_derived_cl1,zip_derived_cl10]) ).

thf(zip_derived_cl20,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl11,zip_derived_cl12]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO372^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.3K6I5O0rUk true
% 0.14/0.34  % Computer : n028.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Sat Aug 26 07:01:22 EDT 2023
% 0.20/0.34  % CPUTime  : 
% 0.20/0.34  % Running portfolio for 300 s
% 0.20/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.34  % Number of cores: 8
% 0.20/0.34  % Python version: Python 3.6.8
% 0.20/0.35  % Running in HO mode
% 0.20/0.63  % Total configuration time : 828
% 0.20/0.63  % Estimated wc time : 1656
% 0.20/0.63  % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.68  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.69  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.71  % Solved by lams/40_c.s.sh.
% 0.20/0.71  % done 6 iterations in 0.007s
% 0.20/0.71  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.20/0.71  % SZS output start Refutation
% See solution above
% 0.20/0.71  
% 0.20/0.71  
% 0.20/0.71  % Terminating...
% 0.20/0.74  % Runner terminated.
% 0.20/0.75  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------