TSTP Solution File: SYO374^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO374^5 : 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.6I6a8rz4tP true

% Computer : n031.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 0.58s 0.78s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   22 (   7 unt;   4 typ;   0 def)
%            Number of atoms       :   23 (  12 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   69 (  15   ~;   9   |;   0   &;  39   @)
%                                         (   4 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 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(cN_type,type,
    cN: $i > $i ).

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

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

thf(cM_type,type,
    cM: $i > $i ).

thf(cEXT_A_LEIB2,conjecture,
    ( ! [Xx: $i,Xp: $i > $o] :
        ( ( Xp @ ( cM @ Xx ) )
      <=> ( Xp @ ( cN @ Xx ) ) )
   => ! [Xq: ( $i > $i ) > $o] :
        ( ( Xq @ cM )
      <=> ( Xq @ cN ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ! [Xx: $i,Xp: $i > $o] :
          ( ( Xp @ ( cM @ Xx ) )
        <=> ( Xp @ ( cN @ Xx ) ) )
     => ! [Xq: ( $i > $i ) > $o] :
          ( ( Xq @ cM )
        <=> ( Xq @ cN ) ) ),
    inference('cnf.neg',[status(esa)],[cEXT_A_LEIB2]) ).

thf(zip_derived_cl3,plain,
    ( ( sk_ @ cN )
    | ( sk_ @ cM ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl8,plain,
    ( ( ( ^ [Y0: $i] : ( cN @ Y0 ) )
     != ( ^ [Y0: $i] : ( cM @ Y0 ) ) )
    | ( sk_ @ cM ) ),
    inference(ext_eqfact,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl9,plain,
    ( ( cN != cM )
    | ( sk_ @ cM ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl10,plain,
    ( ( cN != cM )
    | ( sk_ @ cN ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl2,plain,
    ( ~ ( sk_ @ cN )
    | ~ ( sk_ @ cM ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl21,plain,
    ( ( cN != cM )
    | ~ ( sk_ @ cM ) ),
    inference('sup-',[status(thm)],[zip_derived_cl10,zip_derived_cl2]) ).

thf(zip_derived_cl23,plain,
    ( ( cN != cM )
    | ~ ( sk_ @ cN ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl21]) ).

thf(zip_derived_cl10_001,plain,
    ( ( cN != cM )
    | ( sk_ @ cN ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl29,plain,
    cN != cM,
    inference(clc,[status(thm)],[zip_derived_cl23,zip_derived_cl10]) ).

thf(zip_derived_cl30,plain,
    ( ( cN @ '#sk1' )
   != ( cM @ '#sk1' ) ),
    inference(neg_ext,[status(thm)],[zip_derived_cl29]) ).

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

thf(zip_derived_cl45,plain,
    ! [X0: $i] :
      ( ^ [Y0: $i] :
          ( Y0
          = ( cN @ X0 ) )
      @ ( cM @ X0 ) ),
    inference(ho_elim_pred,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl57,plain,
    ! [X0: $i] :
      ( ( cM @ X0 )
      = ( cN @ X0 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl45]) ).

thf(zip_derived_cl58,plain,
    ! [X0: $i] :
      ( ( cM @ X0 )
      = ( cN @ X0 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl57]) ).

thf(zip_derived_cl81,plain,
    ( ( cN @ '#sk1' )
   != ( cN @ '#sk1' ) ),
    inference(demod,[status(thm)],[zip_derived_cl30,zip_derived_cl58]) ).

thf(zip_derived_cl82,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl81]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYO374^5 : TPTP v8.1.2. 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.6I6a8rz4tP true
% 0.14/0.35  % Computer : n031.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sat Aug 26 04:40:23 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in HO mode
% 0.55/0.68  % Total configuration time : 828
% 0.55/0.68  % Estimated wc time : 1656
% 0.55/0.68  % Estimated cpu time (8 cpus) : 207.0
% 0.58/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.58/0.75  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.58/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.58/0.78  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.58/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.58/0.78  % Solved by lams/40_c_ic.sh.
% 0.58/0.78  % done 10 iterations in 0.017s
% 0.58/0.78  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.58/0.78  % SZS output start Refutation
% See solution above
% 0.58/0.78  
% 0.58/0.78  
% 0.58/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.58/0.78  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.58/0.78  % Terminating...
% 0.62/0.88  % Runner terminated.
% 1.93/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------