TSTP Solution File: CAT038^2 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : CAT038^2 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.2RoMpKp61q true

% Computer : n027.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 : Wed Aug 30 18:21:12 EDT 2023

% Result   : Theorem 1.81s 0.85s
% Output   : Refutation 1.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   18
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   27 (   5 unt;   3 typ;   0 def)
%            Number of atoms       :   69 (  44 equ;   0 cnn)
%            Maximal formula atoms :    5 (   2 avg)
%            Number of connectives :  136 (  35   ~;  15   |;   6   &;  74   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   26 (  26   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   3 usr;   6 con; 0-3 aty)
%                                         (   3  !!;   3  ??;   0 @@+;   0 @@-)
%            Number of variables   :   55 (  21   ^;  32   !;   2   ?;  55   :)

% Comments : 
%------------------------------------------------------------------------------
thf(zf_ite_type,type,
    zf_ite: $o > $i > $i > $i ).

thf('#sk2_type',type,
    '#sk2': $i ).

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

thf(zip_derived_cl1,plain,
    ! [X0: $tType,X1: X0,X2: X0] :
      ( ( zf_ite @ $true @ X1 @ X2 )
      = X1 ),
    trivial([status(thm)]) ).

thf(ifi,conjecture,
    ! [X: $i,Y: $i] :
    ? [F: $i > $i] :
      ( ( ( F @ X )
        = Y )
      & ( ( F @ Y )
        = X ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [X: $i,Y: $i] :
      ? [F: $i > $i] :
        ( ( ( F @ X )
          = Y )
        & ( ( F @ Y )
          = X ) ),
    inference('cnf.neg',[status(esa)],[ifi]) ).

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

thf(zip_derived_cl3,plain,
    ~ ( !!
      @ ^ [Y0: $i] :
          ( ??
          @ ^ [Y1: $i > $i] :
              ( ( ( Y1 @ '#sk1' )
                = Y0 )
              & ( ( Y1 @ Y0 )
                = '#sk1' ) ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl4,plain,
    ~ ( ??
      @ ^ [Y0: $i > $i] :
          ( ( ( Y0 @ '#sk1' )
            = '#sk2' )
          & ( ( Y0 @ '#sk2' )
            = '#sk1' ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl5,plain,
    ! [X2: $i > $i] :
      ~ ( ( ( X2 @ '#sk1' )
          = '#sk2' )
        & ( ( X2 @ '#sk2' )
          = '#sk1' ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl6,plain,
    ! [X2: $i > $i] :
      ( ( ( X2 @ '#sk1' )
       != '#sk2' )
      | ( ( X2 @ '#sk2' )
       != '#sk1' ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl7,plain,
    ! [X2: $i > $i] :
      ( ( ( X2 @ '#sk1' )
       != '#sk2' )
      | ( ( X2 @ '#sk2' )
       != '#sk1' ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $o > $i,X1: $o > $i,X2: $i > $o] :
      ( ~ ( X2 @ '#sk1' )
      | ( ( ^ [Y0: $o] :
              ( ^ [Y1: $o,Y2: $i] : ( X0 @ Y1 )
              @ Y0
              @ ( X1 @ Y0 ) )
          @ $true )
       != '#sk2' )
      | ( ( ^ [Y0: $i] :
              ( ^ [Y1: $o,Y2: $i] : ( X0 @ Y1 )
              @ ( X2 @ Y0 )
              @ Y0 )
          @ '#sk2' )
       != '#sk1' ) ),
    inference(fluid_loob_hoist,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl15,plain,
    ! [X0: $o > $i,X2: $i > $o] :
      ( ~ ( X2 @ '#sk1' )
      | ( ( X0 @ $true )
       != '#sk2' )
      | ( ( X0 @ ( X2 @ '#sk2' ) )
       != '#sk1' ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl129,plain,
    ! [X0: $o > $i] :
      ( ( ( X0 @ $true )
       != '#sk2' )
      | ( ( X0
          @ ( ^ [Y0: $i] :
                ( ( ^ [Y1: $i] : Y1
                  @ Y0 )
                = ( ^ [Y1: $i] : '#sk1'
                  @ Y0 ) )
            @ '#sk2' ) )
       != '#sk1' ) ),
    inference(fluid_log_symbol_hoist,[status(thm)],[zip_derived_cl15]) ).

thf(zip_derived_cl170,plain,
    ! [X0: $o > $i] :
      ( ( ( X0 @ $true )
       != '#sk2' )
      | ( ( X0 @ ( '#sk2' = '#sk1' ) )
       != '#sk1' ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl129]) ).

thf(zip_derived_cl7_001,plain,
    ! [X2: $i > $i] :
      ( ( ( X2 @ '#sk1' )
       != '#sk2' )
      | ( ( X2 @ '#sk2' )
       != '#sk1' ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl8,plain,
    ( ( ^ [Y0: $i] : '#sk2'
      @ '#sk2' )
   != '#sk1' ),
    inference(eq_res,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl9,plain,
    '#sk2' != '#sk1',
    inference(ho_norm,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl171,plain,
    ! [X0: $o > $i] :
      ( ( ( X0 @ $true )
       != '#sk2' )
      | ( ( X0 @ $false )
       != '#sk1' ) ),
    inference(inner_simplify_reflect,[status(thm)],[zip_derived_cl170,zip_derived_cl9]) ).

thf(zip_derived_cl425,plain,
    ! [X0: $o > $i,X1: $o > $i] :
      ( ( ( X0 @ $true )
       != '#sk2' )
      | ( ( ^ [Y0: $o] :
              ( zf_ite @ Y0
              @ ( ^ [Y1: $o] : ( X0 @ Y1 )
                @ Y0 )
              @ ( ^ [Y1: $o] : ( X1 @ Y1 )
                @ Y0 ) )
          @ $false )
       != '#sk1' ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl171]) ).

thf(zip_derived_cl455,plain,
    ! [X0: $o > $i,X1: $o > $i] :
      ( ( ( X0 @ $true )
       != '#sk2' )
      | ( ( zf_ite @ $false @ ( X0 @ $false ) @ ( X1 @ $false ) )
       != '#sk1' ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl425]) ).

thf(zip_derived_cl2,plain,
    ! [X0: $tType,X1: X0,X2: X0] :
      ( ( zf_ite @ $false @ X1 @ X2 )
      = X2 ),
    trivial([status(thm)]) ).

thf(zip_derived_cl456,plain,
    ! [X0: $o > $i,X1: $o > $i] :
      ( ( ( X0 @ $true )
       != '#sk2' )
      | ( ( X1 @ $false )
       != '#sk1' ) ),
    inference(demod,[status(thm)],[zip_derived_cl455,zip_derived_cl2]) ).

thf(zip_derived_cl457,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( ^ [Y0: $o] : X0
          @ $true )
       != '#sk2' )
      | ( ( ^ [Y0: $o] : X1
          @ $false )
       != '#sk1' ) ),
    inference(prune_arg_fun,[status(thm)],[zip_derived_cl456]) ).

thf(zip_derived_cl458,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 != '#sk2' )
      | ( X1 != '#sk1' ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl457]) ).

thf(zip_derived_cl459,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl458]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : CAT038^2 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.2RoMpKp61q true
% 0.12/0.33  % Computer : n027.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 300
% 0.12/0.33  % DateTime : Sun Aug 27 00:41:50 EDT 2023
% 0.12/0.33  % CPUTime  : 
% 0.12/0.33  % Running portfolio for 300 s
% 0.12/0.33  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.33  % Number of cores: 8
% 0.18/0.34  % Python version: Python 3.6.8
% 0.18/0.34  % Running in HO mode
% 0.19/0.65  % Total configuration time : 828
% 0.19/0.65  % Estimated wc time : 1656
% 0.19/0.65  % Estimated cpu time (8 cpus) : 207.0
% 0.19/0.72  % /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
% 0.19/0.72  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.19/0.74  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.19/0.74  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.19/0.75  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.19/0.75  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.19/0.75  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.19/0.75  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 0.19/0.75  % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 0.19/0.76  % /export/starexec/sandbox/solver/bin/lams/15_old_s4.sh running for 30s
% 0.19/0.76  % /export/starexec/sandbox/solver/bin/lams/15_lifting3.sh running for 30s
% 0.96/0.78  % /export/starexec/sandbox/solver/bin/lams/33_shallow_sine.sh running for 66s
% 0.96/0.78  % /export/starexec/sandbox/solver/bin/lams/15_lifting1.sh running for 30s
% 0.96/0.78  % /export/starexec/sandbox/solver/bin/lams/40_e_lift.sh running for 80s
% 0.96/0.79  % /export/starexec/sandbox/solver/bin/lams/8_new_cnf.sh running for 16s
% 0.96/0.80  % /export/starexec/sandbox/solver/bin/lams/8_add_var_l_av.sh running for 16s
% 0.96/0.80  % /export/starexec/sandbox/solver/bin/lams/10_e_short2.sh running for 20s
% 0.96/0.80  % /export/starexec/sandbox/solver/bin/lams/8_new_sh_or.sh running for 16s
% 0.96/0.81  % /export/starexec/sandbox/solver/bin/lams/30_old_zip1.sh running for 36s
% 0.96/0.81  % /export/starexec/sandbox/solver/bin/lams/10_shallow_lift.sh running for 30s
% 0.96/0.82  % /export/starexec/sandbox/solver/bin/lams/15_lcnf_noform.sh running for 30s
% 0.96/0.83  % /export/starexec/sandbox/solver/bin/lams/8_cmb.lcnf4.sh running for 10s
% 0.96/0.83  % /export/starexec/sandbox/solver/bin/lams/8_sh.eqenc2.sh running for 10s
% 0.96/0.83  % /export/starexec/sandbox/solver/bin/lams/8_new_l_av.sh running for 24s
% 0.96/0.83  % /export/starexec/sandbox/solver/bin/lams/10_forms1.sh running for 20s
% 0.96/0.83  % /export/starexec/sandbox/solver/bin/lams/10_forms4.sh running for 20s
% 1.81/0.85  % Solved by lams/15_e_short1.sh.
% 1.81/0.85  % done 24 iterations in 0.096s
% 1.81/0.85  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.81/0.85  % SZS output start Refutation
% See solution above
% 1.81/0.85  
% 1.81/0.85  
% 1.81/0.85  % Terminating...
% 2.22/0.95  % Runner terminated.
% 2.22/0.96  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------