TSTP Solution File: SYO352^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO352^5 : 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.uKnMFl1DBP true

% Computer : n020.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 05:50:47 EDT 2023

% Result   : Theorem 0.56s 0.77s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   17 (  10 unt;   4 typ;   0 def)
%            Number of atoms       :   10 (   7 equ;   0 cnn)
%            Maximal formula atoms :    1 (   0 avg)
%            Number of connectives :   45 (   7   ~;   1   |;   0   &;  31   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   4 usr;   2 con; 0-2 aty)
%            Number of variables   :   14 (   3   ^;  11   !;   0   ?;  14   :)

% Comments : 
%------------------------------------------------------------------------------
thf(n_type,type,
    n: $i > $i ).

thf('#sk1_type',type,
    '#sk1': $i ).

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

thf(m_type,type,
    m: $i > $i ).

thf(cE5EXT,conjecture,
    ( ! [X: $i,P: $i > $o] :
        ( ( P @ ( m @ X ) )
       => ( P @ ( n @ X ) ) )
   => ! [Q: ( $i > $i ) > $o] :
        ( ( Q @ m )
       => ( Q @ n ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ! [X: $i,P: $i > $o] :
          ( ( P @ ( m @ X ) )
         => ( P @ ( n @ X ) ) )
     => ! [Q: ( $i > $i ) > $o] :
          ( ( Q @ m )
         => ( Q @ n ) ) ),
    inference('cnf.neg',[status(esa)],[cE5EXT]) ).

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

thf(zip_derived_cl1,plain,
    ~ ( sk_ @ n ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl3,plain,
    ( ( ^ [Y0: $i] : ( m @ Y0 ) )
   != ( ^ [Y0: $i] : ( n @ Y0 ) ) ),
    inference(ext_sup,[status(thm)],[zip_derived_cl2,zip_derived_cl1]) ).

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

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

thf(zip_derived_cl0,plain,
    ! [X0: $i > $o,X1: $i] :
      ( ( X0 @ ( n @ X1 ) )
      | ~ ( X0 @ ( m @ X1 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl21,plain,
    ! [X0: $i] :
      ( ^ [Y0: $i] :
          ( Y0
          = ( m @ X0 ) )
      @ ( n @ X0 ) ),
    inference(ho_elim_pred,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl33,plain,
    ! [X0: $i] :
      ( ( n @ X0 )
      = ( m @ X0 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl21]) ).

thf(zip_derived_cl34,plain,
    ! [X0: $i] :
      ( ( n @ X0 )
      = ( m @ X0 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl33]) ).

thf(zip_derived_cl58,plain,
    ( ( n @ '#sk1' )
   != ( n @ '#sk1' ) ),
    inference(demod,[status(thm)],[zip_derived_cl5,zip_derived_cl34]) ).

thf(zip_derived_cl59,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl58]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO352^5 : 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.uKnMFl1DBP true
% 0.13/0.35  % Computer : n020.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 00:44:59 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.36  % Running in HO mode
% 0.21/0.68  % Total configuration time : 828
% 0.21/0.68  % Estimated wc time : 1656
% 0.21/0.68  % Estimated cpu time (8 cpus) : 207.0
% 0.56/0.73  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.74  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.56/0.76  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.56/0.77  % Solved by lams/40_c.s.sh.
% 0.56/0.77  % done 8 iterations in 0.017s
% 0.56/0.77  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.77  % SZS output start Refutation
% See solution above
% 0.56/0.77  
% 0.56/0.77  
% 0.56/0.77  % Terminating...
% 0.59/0.87  % Runner terminated.
% 0.59/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------