TSTP Solution File: SYO208^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO208^5 : 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.tePXzJOSnb true

% Computer : n005.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 05:50:18 EDT 2023

% Result   : Theorem 1.34s 0.85s
% Output   : Refutation 1.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   16 (   6 unt;   3 typ;   0 def)
%            Number of atoms       :   39 (  15 equ;   5 cnn)
%            Maximal formula atoms :    5 (   3 avg)
%            Number of connectives :   62 (   7   ~;   0   |;   0   &;  42   @)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Number of types       :    2 (   1 usr)
%            Number of type conns  :   24 (  24   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   2 usr;   4 con; 0-2 aty)
%                                         (   3  !!;   7  ??;   0 @@+;   0 @@-)
%            Number of variables   :   30 (  14   ^;  12   !;   4   ?;  30   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a_type,type,
    a: $tType ).

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

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

thf(cCT31,conjecture,
    ~ ? [Xg: a > a > $o] :
      ! [Xf: a > $o] :
      ? [Xj: a] :
        ( ( ( Xg @ Xj )
          = Xf )
      <=> ( Xf = Xf ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ? [Xg: a > a > $o] :
    ! [Xf: a > $o] :
    ? [Xj: a] :
      ( ( ( Xg @ Xj )
        = Xf )
    <=> ( Xf = Xf ) ),
    inference('cnf.neg',[status(esa)],[cCT31]) ).

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

thf(zip_derived_cl1,plain,
    ( ??
    @ ^ [Y0: a > a > $o] :
        ( !!
        @ ^ [Y1: a > $o] :
            ( ??
            @ ^ [Y2: a] :
                ( ( Y0 @ Y2 )
                = Y1 ) ) ) ),
    inference('simplify boolean subterms',[status(thm)],[zip_derived_cl0]) ).

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

thf(zip_derived_cl3,plain,
    ! [X2: a > $o] :
      ( ??
      @ ^ [Y0: a] :
          ( ( '#sk1' @ Y0 )
          = X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl4,plain,
    ! [X0: a > $o] :
      ( ??
      @ ^ [Y0: a] :
          ( ( '#sk1' @ Y0 )
          = ( ^ [Y1: a] : ( (~) @ ( X0 @ Y1 ) ) ) ) ),
    inference('ho.refine.early.bird',[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl13,plain,
    ! [X0: a > $o] :
      ( ( '#sk1' @ ( '#sk11' @ X0 ) )
      = ( ^ [Y0: a] : ( (~) @ ( X0 @ Y0 ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl14,plain,
    ! [X0: a > $o] :
      ( ( '#sk1' @ ( '#sk11' @ X0 ) )
      = ( ^ [Y0: a] : ( (~) @ ( X0 @ Y0 ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl26,plain,
    ! [X0: a > $o,X1: a] :
      ( ( '#sk1' @ ( '#sk11' @ X0 ) @ X1 )
      = ( ^ [Y0: a] : ( (~) @ ( X0 @ Y0 ) )
        @ X1 ) ),
    inference(ho_complete_eq,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl27,plain,
    ! [X0: a > $o,X1: a] :
      ( ( '#sk1' @ ( '#sk11' @ X0 ) @ X1 )
      = ( (~) @ ( X0 @ X1 ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl26]) ).

thf(zip_derived_cl28,plain,
    ! [X0: a > $o,X1: a] :
      ( ( '#sk1' @ ( '#sk11' @ X0 ) @ X1 )
     != ( X0 @ X1 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl27]) ).

thf(zip_derived_cl53,plain,
    $false,
    inference(eq_res,[status(thm)],[zip_derived_cl28]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYO208^5 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.tePXzJOSnb true
% 0.13/0.34  % Computer : n005.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sat Aug 26 06:04:08 EDT 2023
% 0.19/0.34  % CPUTime  : 
% 0.19/0.34  % Running portfolio for 300 s
% 0.19/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.34  % Number of cores: 8
% 0.19/0.34  % Python version: Python 3.6.8
% 0.19/0.35  % Running in HO mode
% 0.19/0.66  % Total configuration time : 828
% 0.19/0.66  % Estimated wc time : 1656
% 0.19/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.19/0.70  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.19/0.72  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.80/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.80/0.75  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.80/0.75  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.80/0.75  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 1.29/0.78  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.29/0.79  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 1.34/0.85  % Solved by lams/30_sp5.sh.
% 1.34/0.85  % done 8 iterations in 0.029s
% 1.34/0.85  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.34/0.85  % SZS output start Refutation
% See solution above
% 1.34/0.85  
% 1.34/0.85  
% 1.34/0.85  % Terminating...
% 1.58/0.95  % Runner terminated.
% 1.58/0.96  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------