TSTP Solution File: SEU936^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU936^5 : 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.gsdPDm9P8f true

% Computer : n019.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 : Thu Aug 31 19:18:54 EDT 2023

% Result   : Theorem 0.21s 0.79s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   27 (   6 unt;   7 typ;   0 def)
%            Number of atoms       :   65 (  43 equ;   0 cnn)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  142 (  12   ~;   3   |;   0   &;  85   @)
%                                         (   0 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Number of types       :    3 (   3 usr)
%            Number of type conns  :    9 (   9   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   4 usr;   4 con; 0-2 aty)
%                                         (  21  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   41 (  21   ^;  20   !;   0   ?;  41   :)

% Comments : 
%------------------------------------------------------------------------------
thf(c_type,type,
    c: $tType ).

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

thf(a_type,type,
    a: $tType ).

thf('#sk4_type',type,
    '#sk4': a ).

thf('#sk2_type',type,
    '#sk2': b > c ).

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

thf('#sk3_type',type,
    '#sk3': a ).

thf(cFN_THM_3_pme,conjecture,
    ! [F: a > b,G: b > c] :
      ( ! [Xx: a,Xy: a] :
          ( ( ( G @ ( F @ Xx ) )
            = ( G @ ( F @ Xy ) ) )
         => ( Xx = Xy ) )
     => ! [Xx: a,Xy: a] :
          ( ( ( F @ Xx )
            = ( F @ Xy ) )
         => ( Xx = Xy ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [F: a > b,G: b > c] :
        ( ! [Xx: a,Xy: a] :
            ( ( ( G @ ( F @ Xx ) )
              = ( G @ ( F @ Xy ) ) )
           => ( Xx = Xy ) )
       => ! [Xx: a,Xy: a] :
            ( ( ( F @ Xx )
              = ( F @ Xy ) )
           => ( Xx = Xy ) ) ),
    inference('cnf.neg',[status(esa)],[cFN_THM_3_pme]) ).

thf(zip_derived_cl0,plain,
    ~ ( !!
      @ ^ [Y0: a > b] :
          ( !!
          @ ^ [Y1: b > c] :
              ( ( !!
                @ ^ [Y2: a] :
                    ( !!
                    @ ^ [Y3: a] :
                        ( ( ( Y1 @ ( Y0 @ Y2 ) )
                          = ( Y1 @ ( Y0 @ Y3 ) ) )
                       => ( Y2 = Y3 ) ) ) )
             => ( !!
                @ ^ [Y2: a] :
                    ( !!
                    @ ^ [Y3: a] :
                        ( ( ( Y0 @ Y2 )
                          = ( Y0 @ Y3 ) )
                       => ( Y2 = Y3 ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ~ ( !!
      @ ^ [Y0: b > c] :
          ( ( !!
            @ ^ [Y1: a] :
                ( !!
                @ ^ [Y2: a] :
                    ( ( ( Y0 @ ( '#sk1' @ Y1 ) )
                      = ( Y0 @ ( '#sk1' @ Y2 ) ) )
                   => ( Y1 = Y2 ) ) ) )
         => ( !!
            @ ^ [Y1: a] :
                ( !!
                @ ^ [Y2: a] :
                    ( ( ( '#sk1' @ Y1 )
                      = ( '#sk1' @ Y2 ) )
                   => ( Y1 = Y2 ) ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ~ ( ( !!
        @ ^ [Y0: a] :
            ( !!
            @ ^ [Y1: a] :
                ( ( ( '#sk2' @ ( '#sk1' @ Y0 ) )
                  = ( '#sk2' @ ( '#sk1' @ Y1 ) ) )
               => ( Y0 = Y1 ) ) ) )
     => ( !!
        @ ^ [Y0: a] :
            ( !!
            @ ^ [Y1: a] :
                ( ( ( '#sk1' @ Y0 )
                  = ( '#sk1' @ Y1 ) )
               => ( Y0 = Y1 ) ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl4,plain,
    ~ ( !!
      @ ^ [Y0: a] :
          ( !!
          @ ^ [Y1: a] :
              ( ( ( '#sk1' @ Y0 )
                = ( '#sk1' @ Y1 ) )
             => ( Y0 = Y1 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl6,plain,
    ~ ( !!
      @ ^ [Y0: a] :
          ( ( ( '#sk1' @ '#sk3' )
            = ( '#sk1' @ Y0 ) )
         => ( '#sk3' = Y0 ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl8,plain,
    ~ ( ( ( '#sk1' @ '#sk3' )
        = ( '#sk1' @ '#sk4' ) )
     => ( '#sk3' = '#sk4' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl10,plain,
    ( ( '#sk1' @ '#sk3' )
    = ( '#sk1' @ '#sk4' ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl13,plain,
    ( ( '#sk1' @ '#sk3' )
    = ( '#sk1' @ '#sk4' ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl3,plain,
    ( !!
    @ ^ [Y0: a] :
        ( !!
        @ ^ [Y1: a] :
            ( ( ( '#sk2' @ ( '#sk1' @ Y0 ) )
              = ( '#sk2' @ ( '#sk1' @ Y1 ) ) )
           => ( Y0 = Y1 ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl5,plain,
    ! [X2: a] :
      ( !!
      @ ^ [Y0: a] :
          ( ( ( '#sk2' @ ( '#sk1' @ X2 ) )
            = ( '#sk2' @ ( '#sk1' @ Y0 ) ) )
         => ( X2 = Y0 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl7,plain,
    ! [X2: a,X4: a] :
      ( ( ( '#sk2' @ ( '#sk1' @ X2 ) )
        = ( '#sk2' @ ( '#sk1' @ X4 ) ) )
     => ( X2 = X4 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl9,plain,
    ! [X2: a,X4: a] :
      ( ( ( '#sk2' @ ( '#sk1' @ X2 ) )
       != ( '#sk2' @ ( '#sk1' @ X4 ) ) )
      | ( X2 = X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl12,plain,
    ! [X2: a,X4: a] :
      ( ( ( '#sk2' @ ( '#sk1' @ X2 ) )
       != ( '#sk2' @ ( '#sk1' @ X4 ) ) )
      | ( X2 = X4 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl17,plain,
    ! [X0: a] :
      ( ( ( '#sk2' @ ( '#sk1' @ X0 ) )
       != ( '#sk2' @ ( '#sk1' @ '#sk4' ) ) )
      | ( X0 = '#sk3' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl12]) ).

thf(zip_derived_cl28,plain,
    '#sk4' = '#sk3',
    inference(eq_res,[status(thm)],[zip_derived_cl17]) ).

thf(zip_derived_cl11,plain,
    '#sk3' != '#sk4',
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl14,plain,
    '#sk3' != '#sk4',
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl33,plain,
    $false,
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl28,zip_derived_cl14]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEU936^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gsdPDm9P8f true
% 0.14/0.36  % Computer : n019.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % 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 : Wed Aug 23 14:53:28 EDT 2023
% 0.14/0.36  % CPUTime  : 
% 0.14/0.36  % Running portfolio for 300 s
% 0.14/0.36  % File         : /export/starexec/sandbox/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
% 0.21/0.65  % 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/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.77  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.78  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.79  % Solved by lams/35_full_unif4.sh.
% 0.21/0.79  % done 3 iterations in 0.014s
% 0.21/0.79  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.79  % SZS output start Refutation
% See solution above
% 0.21/0.79  
% 0.21/0.79  
% 0.21/0.79  % Terminating...
% 1.37/0.86  % Runner terminated.
% 1.74/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------