TSTP Solution File: SYO215^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO215^5 : 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.rfC2QwS0at true

% Computer : n009.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 05:50:19 EDT 2023

% Result   : Theorem 0.57s 0.75s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   17 (   7 unt;   3 typ;   0 def)
%            Number of atoms       :   27 (  16 equ;   0 cnn)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :   41 (  18   ~;   0   |;   0   &;  10   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   3 usr;   6 con; 0-2 aty)
%                                         (   2  !!;   8  ??;   0 @@+;   0 @@-)
%            Number of variables   :   21 (  10   ^;   5   !;   6   ?;  21   :)

% Comments : 
%------------------------------------------------------------------------------
thf('#sk2_type',type,
    '#sk2': $i ).

thf('#sk3_type',type,
    '#sk3': $i ).

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

thf(cTHM26,conjecture,
    ( ? [X: $i,Y: $i] : ( X != Y )
   => ! [U: $i] :
      ? [Z: $i] : ( Z != U ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ? [X: $i,Y: $i] : ( X != Y )
     => ! [U: $i] :
        ? [Z: $i] : ( Z != U ) ),
    inference('cnf.neg',[status(esa)],[cTHM26]) ).

thf(zip_derived_cl0,plain,
    ~ ( ( ??
        @ ^ [Y0: $i] :
            ( ??
            @ ^ [Y1: $i] : ( Y0 != Y1 ) ) )
     => ( !!
        @ ^ [Y0: $i] :
            ( ??
            @ ^ [Y1: $i] : ( Y1 != Y0 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2,plain,
    ~ ( !!
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i] : ( Y1 != Y0 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl4,plain,
    ~ ( ??
      @ ^ [Y0: $i] : ( Y0 != '#sk2' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl6,plain,
    ! [X2: $i] : ( X2 != '#sk2' ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl8,plain,
    ! [X2: $i] : ( X2 = '#sk2' ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl1,plain,
    ( ??
    @ ^ [Y0: $i] :
        ( ??
        @ ^ [Y1: $i] : ( Y0 != Y1 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl3,plain,
    ( ??
    @ ^ [Y0: $i] : ( '#sk1' != Y0 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl5,plain,
    '#sk1' != '#sk3',
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl7,plain,
    '#sk1' != '#sk3',
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl9,plain,
    '#sk1' != '#sk2',
    inference('sup-',[status(thm)],[zip_derived_cl8,zip_derived_cl7]) ).

thf(zip_derived_cl8_001,plain,
    ! [X2: $i] : ( X2 = '#sk2' ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl15,plain,
    $false,
    inference('simplify_reflect+',[status(thm)],[zip_derived_cl9,zip_derived_cl8]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13  % Problem  : SYO215^5 : TPTP v8.1.2. Released v4.0.0.
% 0.05/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.rfC2QwS0at true
% 0.14/0.35  % Computer : n009.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
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Sat Aug 26 04:11:36 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.36  % Number of cores: 8
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in HO mode
% 0.51/0.67  % Total configuration time : 828
% 0.51/0.67  % Estimated wc time : 1656
% 0.51/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.71  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.71  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.75  % Solved by lams/35_full_unif4.sh.
% 0.57/0.75  % done 1 iterations in 0.006s
% 0.57/0.75  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.75  % SZS output start Refutation
% See solution above
% 0.57/0.75  
% 0.57/0.75  
% 0.57/0.75  % Terminating...
% 1.52/0.77  % Runner terminated.
% 1.53/0.78  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------