TSTP Solution File: SET557^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SET557^1 : TPTP v8.1.2. Released v3.6.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Zy3RziJxpQ true

% Computer : n010.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 16:14:35 EDT 2023

% Result   : Theorem 1.60s 0.85s
% Output   : Refutation 1.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   14 (   8 unt;   2 typ;   0 def)
%            Number of atoms       :   32 (  11 equ;   5 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   52 (   7   ~;   0   |;   0   &;  38   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   21 (  21   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   2 usr;   4 con; 0-2 aty)
%                                         (   2  !!;   5  ??;   0 @@+;   0 @@-)
%            Number of variables   :   27 (  11   ^;  12   !;   4   ?;  27   :)

% Comments : 
%------------------------------------------------------------------------------
thf('#sk1_type',type,
    '#sk1': $i > $i > $o ).

thf('#sk11_type',type,
    '#sk11': ( $i > $o ) > $i ).

thf(surjectiveCantorThm,conjecture,
    ~ ? [G: $i > $i > $o] :
      ! [F: $i > $o] :
      ? [X: $i] :
        ( ( G @ X )
        = F ) ).

thf(zf_stmt_0,negated_conjecture,
    ? [G: $i > $i > $o] :
    ! [F: $i > $o] :
    ? [X: $i] :
      ( ( G @ X )
      = F ),
    inference('cnf.neg',[status(esa)],[surjectiveCantorThm]) ).

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

thf(zip_derived_cl1,plain,
    ( !!
    @ ^ [Y0: $i > $o] :
        ( ??
        @ ^ [Y1: $i] :
            ( ( '#sk1' @ Y1 )
            = Y0 ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl2,plain,
    ! [X2: $i > $o] :
      ( ??
      @ ^ [Y0: $i] :
          ( ( '#sk1' @ Y0 )
          = X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl3,plain,
    ! [X0: $i > $o] :
      ( ??
      @ ^ [Y0: $i] :
          ( ( '#sk1' @ Y0 )
          = ( ^ [Y1: $i] : ( (~) @ ( X0 @ Y1 ) ) ) ) ),
    inference('ho.refine.early.bird',[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl12,plain,
    ! [X0: $i > $o] :
      ( ( '#sk1' @ ( '#sk11' @ X0 ) )
      = ( ^ [Y0: $i] : ( (~) @ ( X0 @ Y0 ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i > $o] :
      ( ( '#sk1' @ ( '#sk11' @ X0 ) )
      = ( ^ [Y0: $i] : ( (~) @ ( X0 @ Y0 ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i > $o,X1: $i] :
      ( ( '#sk1' @ ( '#sk11' @ X0 ) @ X1 )
      = ( ^ [Y0: $i] : ( (~) @ ( X0 @ Y0 ) )
        @ X1 ) ),
    inference(ho_complete_eq,[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl26,plain,
    ! [X0: $i > $o,X1: $i] :
      ( ( '#sk1' @ ( '#sk11' @ X0 ) @ X1 )
      = ( (~) @ ( X0 @ X1 ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl25]) ).

thf(zip_derived_cl27,plain,
    ! [X0: $i > $o,X1: $i] :
      ( ( '#sk1' @ ( '#sk11' @ X0 ) @ X1 )
     != ( X0 @ X1 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl26]) ).

thf(zip_derived_cl52,plain,
    $false,
    inference(eq_res,[status(thm)],[zip_derived_cl27]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET557^1 : TPTP v8.1.2. Released v3.6.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.Zy3RziJxpQ true
% 0.14/0.34  % Computer : n010.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 300
% 0.14/0.34  % DateTime : Sat Aug 26 08:17:05 EDT 2023
% 0.14/0.34  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.35  % Number of cores: 8
% 0.20/0.35  % Python version: Python 3.6.8
% 0.20/0.35  % Running in HO mode
% 0.21/0.66  % Total configuration time : 828
% 0.21/0.66  % Estimated wc time : 1656
% 0.21/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.21/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.21/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.21/0.78  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.45/0.78  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.60/0.85  % Solved by lams/30_sp5.sh.
% 1.60/0.85  % done 8 iterations in 0.034s
% 1.60/0.85  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.60/0.85  % SZS output start Refutation
% See solution above
% 1.60/0.85  
% 1.60/0.85  
% 1.60/0.86  % Terminating...
% 1.88/1.07  % Runner terminated.
% 1.91/1.08  % Zipperpin 1.5 exiting
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