TSTP Solution File: SEU902^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU902^5 : 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.fVPHwrJ2tR true

% Computer : n026.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 19:18:47 EDT 2023

% Result   : Theorem 1.54s 0.88s
% Output   : Refutation 1.54s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   35 (   9 unt;   3 typ;   0 def)
%            Number of atoms       :  138 (  50 equ;  11 cnn)
%            Maximal formula atoms :    9 (   4 avg)
%            Number of connectives :  244 (  34   ~;  11   |;  16   &; 153   @)
%                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   45 (  45   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   3 usr;   4 con; 0-2 aty)
%                                         (  10  !!;   8  ??;   0 @@+;   0 @@-)
%            Number of variables   :   55 (  28   ^;  25   !;   2   ?;  55   :)

% Comments : 
%------------------------------------------------------------------------------
thf('#sk249_type',type,
    '#sk249': $i > $i > $o ).

thf(d_type,type,
    d: $i > $o ).

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

thf(cTHM143_pme,conjecture,
    ! [Xh: ( $i > $o ) > $i] :
      ( ( ( d
          = ( ^ [Xz: $i] :
              ? [Xt: $i > $o] :
                ( ~ ( Xt @ ( Xh @ Xt ) )
                & ( Xz
                  = ( Xh @ Xt ) ) ) ) )
        & ! [Xp: $i > $o,Xq: $i > $o] :
            ( ( ( Xh @ Xp )
              = ( Xh @ Xq ) )
           => ( Xp = Xq ) ) )
     => ~ ( d @ ( Xh @ d ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [Xh: ( $i > $o ) > $i] :
        ( ( ( d
            = ( ^ [Xz: $i] :
                ? [Xt: $i > $o] :
                  ( ~ ( Xt @ ( Xh @ Xt ) )
                  & ( Xz
                    = ( Xh @ Xt ) ) ) ) )
          & ! [Xp: $i > $o,Xq: $i > $o] :
              ( ( ( Xh @ Xp )
                = ( Xh @ Xq ) )
             => ( Xp = Xq ) ) )
       => ~ ( d @ ( Xh @ d ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM143_pme]) ).

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

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

thf(zip_derived_cl2,plain,
    ( ( d
      = ( ^ [Y0: $i] :
            ( ??
            @ ^ [Y1: $i > $o] :
                ( ( (~) @ ( Y1 @ ( '#sk1' @ Y1 ) ) )
                & ( Y0
                  = ( '#sk1' @ Y1 ) ) ) ) ) )
    & ( !!
      @ ^ [Y0: $i > $o] :
          ( !!
          @ ^ [Y1: $i > $o] :
              ( ( ( '#sk1' @ Y0 )
                = ( '#sk1' @ Y1 ) )
             => ( Y0 = Y1 ) ) ) ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl5,plain,
    ( !!
    @ ^ [Y0: $i > $o] :
        ( !!
        @ ^ [Y1: $i > $o] :
            ( ( ( '#sk1' @ Y0 )
              = ( '#sk1' @ Y1 ) )
           => ( Y0 = Y1 ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl9,plain,
    ! [X2: $i > $o] :
      ( !!
      @ ^ [Y0: $i > $o] :
          ( ( ( '#sk1' @ X2 )
            = ( '#sk1' @ Y0 ) )
         => ( X2 = Y0 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl10,plain,
    ! [X2: $i > $o,X4: $i > $o] :
      ( ( ( '#sk1' @ X2 )
        = ( '#sk1' @ X4 ) )
     => ( X2 = X4 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl11,plain,
    ! [X2: $i > $o,X4: $i > $o] :
      ( ( ( '#sk1' @ X2 )
       != ( '#sk1' @ X4 ) )
      | ( X2 = X4 ) ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl12,plain,
    ! [X2: $i > $o,X4: $i > $o] :
      ( ( ( '#sk1' @ X2 )
       != ( '#sk1' @ X4 ) )
      | ( X2 = X4 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl13,plain,
    ! [X2: $i > $o,X4: $i > $o,X6: $i] :
      ( ( ( '#sk1' @ X2 )
       != ( '#sk1' @ X4 ) )
      | ( ( X2 @ X6 )
        = ( X4 @ X6 ) ) ),
    inference(arg_cong_simpl,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl3,plain,
    d @ ( '#sk1' @ d ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl25,plain,
    ! [X0: $i > $o] :
      ( ( X0 @ ( '#sk1' @ d ) )
      | ( ( '#sk1'
          @ ^ [Y0: $i] :
              ( d
              @ ( ^ [Y1: $i] : Y1
                @ Y0 ) ) )
       != ( '#sk1' @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl13,zip_derived_cl3]) ).

thf(zip_derived_cl57,plain,
    ! [X0: $i > $o] :
      ( ( X0 @ ( '#sk1' @ d ) )
      | ( ( '#sk1' @ d )
       != ( '#sk1' @ X0 ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl25]) ).

thf(zip_derived_cl4,plain,
    ( d
    = ( ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i > $o] :
              ( ( (~) @ ( Y1 @ ( '#sk1' @ Y1 ) ) )
              & ( Y0
                = ( '#sk1' @ Y1 ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl2]) ).

thf(zip_derived_cl6,plain,
    ( d
    = ( ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i > $o] :
              ( ( (~) @ ( Y1 @ ( '#sk1' @ Y1 ) ) )
              & ( Y0
                = ( '#sk1' @ Y1 ) ) ) ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl7,plain,
    ! [X2: $i] :
      ( ( d @ X2 )
      = ( ^ [Y0: $i] :
            ( ??
            @ ^ [Y1: $i > $o] :
                ( ( (~) @ ( Y1 @ ( '#sk1' @ Y1 ) ) )
                & ( Y0
                  = ( '#sk1' @ Y1 ) ) ) )
        @ X2 ) ),
    inference(arg_cong_simpl,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl8,plain,
    ! [X2: $i] :
      ( ( d @ X2 )
      = ( ??
        @ ^ [Y0: $i > $o] :
            ( ( (~) @ ( Y0 @ ( '#sk1' @ Y0 ) ) )
            & ( X2
              = ( '#sk1' @ Y0 ) ) ) ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl144,plain,
    ! [X2: $i] :
      ( ~ ( d @ X2 )
      | ( ??
        @ ^ [Y0: $i > $o] :
            ( ( (~) @ ( Y0 @ ( '#sk1' @ Y0 ) ) )
            & ( X2
              = ( '#sk1' @ Y0 ) ) ) ) ),
    inference(eq_elim,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl148,plain,
    ! [X2: $i] :
      ( ( ( (~) @ ( '#sk249' @ X2 @ ( '#sk1' @ ( '#sk249' @ X2 ) ) ) )
        & ( X2
          = ( '#sk1' @ ( '#sk249' @ X2 ) ) ) )
      | ~ ( d @ X2 ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl144]) ).

thf(zip_derived_cl150,plain,
    ! [X2: $i] :
      ( ( X2
        = ( '#sk1' @ ( '#sk249' @ X2 ) ) )
      | ~ ( d @ X2 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl148]) ).

thf(zip_derived_cl151,plain,
    ! [X2: $i] :
      ( ( X2
        = ( '#sk1' @ ( '#sk249' @ X2 ) ) )
      | ~ ( d @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl150]) ).

thf(zip_derived_cl3_001,plain,
    d @ ( '#sk1' @ d ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl152,plain,
    ( ( '#sk1' @ d )
    = ( '#sk1' @ ( '#sk249' @ ( '#sk1' @ d ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl151,zip_derived_cl3]) ).

thf(zip_derived_cl149,plain,
    ! [X2: $i] :
      ( ~ ( '#sk249' @ X2 @ ( '#sk1' @ ( '#sk249' @ X2 ) ) )
      | ~ ( d @ X2 ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl148]) ).

thf(zip_derived_cl176,plain,
    ( ~ ( '#sk249' @ ( '#sk1' @ d ) @ ( '#sk1' @ d ) )
    | ~ ( d @ ( '#sk1' @ d ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl152,zip_derived_cl149]) ).

thf(zip_derived_cl3_002,plain,
    d @ ( '#sk1' @ d ),
    inference(lazy_cnf_imply,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl182,plain,
    ~ ( '#sk249' @ ( '#sk1' @ d ) @ ( '#sk1' @ d ) ),
    inference(demod,[status(thm)],[zip_derived_cl176,zip_derived_cl3]) ).

thf(zip_derived_cl184,plain,
    ( ( '#sk1' @ d )
   != ( '#sk1' @ ( '#sk249' @ ( '#sk1' @ d ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl57,zip_derived_cl182]) ).

thf(zip_derived_cl152_003,plain,
    ( ( '#sk1' @ d )
    = ( '#sk1' @ ( '#sk249' @ ( '#sk1' @ d ) ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl151,zip_derived_cl3]) ).

thf(zip_derived_cl187,plain,
    ( ( '#sk1' @ d )
   != ( '#sk1' @ d ) ),
    inference(demod,[status(thm)],[zip_derived_cl184,zip_derived_cl152]) ).

thf(zip_derived_cl188,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl187]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU902^5 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.fVPHwrJ2tR true
% 0.12/0.34  % Computer : n026.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Aug 23 15:05:46 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.20/0.35  % Python version: Python 3.6.8
% 0.20/0.35  % Running in HO mode
% 0.20/0.67  % Total configuration time : 828
% 0.20/0.67  % Estimated wc time : 1656
% 0.20/0.67  % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.79  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.79  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.79  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.20/0.80  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.20/0.80  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.54/0.88  % Solved by lams/20_acsne_simpl.sh.
% 1.54/0.88  % done 19 iterations in 0.057s
% 1.54/0.88  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.54/0.88  % SZS output start Refutation
% See solution above
% 1.54/0.88  
% 1.54/0.88  
% 1.54/0.88  % Terminating...
% 1.97/0.98  % Runner terminated.
% 1.97/0.99  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------