TSTP Solution File: SEU917^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU917^5 : 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.hOQIopscVn true

% Computer : n002.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 19:18:50 EDT 2023

% Result   : Theorem 0.21s 0.76s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   15 (   7 unt;   2 typ;   0 def)
%            Number of atoms       :   25 (  18 equ;   0 cnn)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   62 (   9   ~;   0   |;   0   &;  41   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :   14 (  14   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    6 (   2 usr;   3 con; 0-2 aty)
%                                         (   5  !!;   1  ??;   0 @@+;   0 @@-)
%            Number of variables   :   24 (  11   ^;  11   !;   2   ?;  24   :)

% Comments : 
%------------------------------------------------------------------------------
thf('#sk3_type',type,
    '#sk3': ( $i > $i ) > $i ).

thf('#sk7_type',type,
    '#sk7': ( $i > $i ) > $i ).

thf(cTHM8_pme,conjecture,
    ? [F: $i > $i] :
    ! [Xx: $i,Xy: $i] :
      ( ( ( F @ Xx )
        = ( F @ Xy ) )
     => ( Xx = Xy ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [F: $i > $i] :
      ! [Xx: $i,Xy: $i] :
        ( ( ( F @ Xx )
          = ( F @ Xy ) )
       => ( Xx = Xy ) ),
    inference('cnf.neg',[status(esa)],[cTHM8_pme]) ).

thf(zip_derived_cl0,plain,
    ~ ( ??
      @ ^ [Y0: $i > $i] :
          ( !!
          @ ^ [Y1: $i] :
              ( !!
              @ ^ [Y2: $i] :
                  ( ( ( Y0 @ Y1 )
                    = ( Y0 @ Y2 ) )
                 => ( Y1 = Y2 ) ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl1,plain,
    ! [X2: $i > $i] :
      ~ ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( ( X2 @ Y0 )
                  = ( X2 @ Y1 ) )
               => ( Y0 = Y1 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ! [X2: $i > $i] :
      ~ ( !!
        @ ^ [Y0: $i] :
            ( ( ( X2 @ ( '#sk3' @ X2 ) )
              = ( X2 @ Y0 ) )
           => ( ( '#sk3' @ X2 )
              = Y0 ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl3,plain,
    ! [X2: $i > $i] :
      ~ ( ( ( X2 @ ( '#sk3' @ X2 ) )
          = ( X2 @ ( '#sk7' @ X2 ) ) )
       => ( ( '#sk3' @ X2 )
          = ( '#sk7' @ X2 ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl4,plain,
    ! [X2: $i > $i] :
      ( ( X2 @ ( '#sk3' @ X2 ) )
      = ( X2 @ ( '#sk7' @ X2 ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl6,plain,
    ! [X2: $i > $i] :
      ( ( X2 @ ( '#sk3' @ X2 ) )
      = ( X2 @ ( '#sk7' @ X2 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl5,plain,
    ! [X2: $i > $i] :
      ( ( '#sk3' @ X2 )
     != ( '#sk7' @ X2 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl7,plain,
    ! [X2: $i > $i] :
      ( ( '#sk3' @ X2 )
     != ( '#sk7' @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl20,plain,
    ( ( '#sk3'
      @ ^ [Y0: $i] : Y0 )
   != ( ^ [Y0: $i] : Y0
      @ ( '#sk3'
        @ ^ [Y0: $i] : Y0 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl7]) ).

thf(zip_derived_cl26,plain,
    ( ( '#sk3'
      @ ^ [Y0: $i] : Y0 )
   != ( '#sk3'
      @ ^ [Y0: $i] : Y0 ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl20]) ).

thf(zip_derived_cl27,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl26]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SEU917^5 : 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.hOQIopscVn true
% 0.14/0.36  % Computer : n002.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 13:47:01 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
% 0.14/0.37  % 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
% 0.21/0.71  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.73  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.76  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.76  % Solved by lams/35_full_unif4.sh.
% 0.21/0.76  % done 1 iterations in 0.016s
% 0.21/0.76  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.21/0.76  % SZS output start Refutation
% See solution above
% 0.21/0.76  
% 0.21/0.76  
% 0.21/0.77  % Terminating...
% 1.54/0.87  % Runner terminated.
% 1.54/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------