TSTP Solution File: SYO236^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO236^5 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xzPHnrVvP6 true

% Computer : n029.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 05:50:24 EDT 2023

% Result   : Theorem 0.21s 0.77s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   18 (   7 unt;   5 typ;   0 def)
%            Number of atoms       :   21 (  20 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   54 (  12   ~;  10   |;   0   &;  28   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    3 (   2 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    5 (   3 usr;   2 con; 0-2 aty)
%            Number of variables   :   13 (   2   ^;  11   !;   0   ?;  13   :)

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

thf(b_type,type,
    b: $tType ).

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

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

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

thf(cTHM504,conjecture,
    ( ( ! [Q: ( b > a ) > $o] :
          ( ( Q @ f )
         => ( Q @ g ) )
      | ! [Xx: b] :
          ( ( f @ Xx )
          = ( g @ Xx ) ) )
   => ( f = g ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( ! [Q: ( b > a ) > $o] :
            ( ( Q @ f )
           => ( Q @ g ) )
        | ! [Xx: b] :
            ( ( f @ Xx )
            = ( g @ Xx ) ) )
     => ( f = g ) ),
    inference('cnf.neg',[status(esa)],[cTHM504]) ).

thf(zip_derived_cl1,plain,
    f != g,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ( ( f @ '#sk1' )
   != ( g @ '#sk1' ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl1]) ).

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

thf(zip_derived_cl4,plain,
    ! [X0: b] :
      ( ~ ( ^ [Y0: b > a] : ( g != Y0 )
          @ f )
      | ( ^ [Y0: b > a] : ( g != Y0 )
        @ g )
      | ( ( f @ X0 )
        = ( g @ X0 ) ) ),
    inference('elim_leibniz_eq_+',[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl18,plain,
    ! [X0: b] :
      ( ( g != f )
      | ( g != g )
      | ( ( f @ X0 )
        = ( g @ X0 ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl19,plain,
    ! [X0: b] :
      ( ( g != f )
      | ( ( f @ X0 )
        = ( g @ X0 ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl18]) ).

thf(zip_derived_cl20,plain,
    ! [X0: b] :
      ( ( g = f )
      | ( ( f @ X0 )
        = ( g @ X0 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl19]) ).

thf(zip_derived_cl1_001,plain,
    f != g,
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl23,plain,
    ! [X0: b] :
      ( ( f @ X0 )
      = ( g @ X0 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl20,zip_derived_cl1]) ).

thf(zip_derived_cl27,plain,
    ( ( g @ '#sk1' )
   != ( g @ '#sk1' ) ),
    inference(demod,[status(thm)],[zip_derived_cl2,zip_derived_cl23]) ).

thf(zip_derived_cl28,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl27]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO236^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.xzPHnrVvP6 true
% 0.13/0.35  % Computer : n029.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sat Aug 26 02:13:10 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.36  % Python version: Python 3.6.8
% 0.13/0.36  % Running in HO mode
% 0.21/0.65  % Total configuration time : 828
% 0.21/0.65  % Estimated wc time : 1656
% 0.21/0.65  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.77  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.21/0.77  % Solved by lams/40_c_ic.sh.
% 0.21/0.77  % done 3 iterations in 0.008s
% 0.21/0.77  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.21/0.77  % SZS output start Refutation
% See solution above
% 0.21/0.77  
% 0.21/0.77  
% 0.21/0.77  % Terminating...
% 0.21/0.86  % Runner terminated.
% 0.21/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------