TSTP Solution File: CAT038^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : CAT038^1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.NO0XgiDFgc 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 1.58s 0.87s
% Output   : Refutation 1.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   25 (   5 unt;   3 typ;   0 def)
%            Number of atoms       :   60 (  40 equ;   0 cnn)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :  118 (  33   ~;  15   |;   4   &;  65   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   24 (  24   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   3 usr;   5 con; 0-3 aty)
%                                         (   0  !!;   1  ??;   0 @@+;   0 @@-)
%            Number of variables   :   46 (  16   ^;  28   !;   2   ?;  46   :)

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

thf(a_type,type,
    a: $i ).

thf(b_type,type,
    b: $i ).

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

thf(swap,conjecture,
    ? [F: $i > $i] :
      ( ( ( F @ a )
        = b )
      & ( ( F @ b )
        = a ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ? [F: $i > $i] :
        ( ( ( F @ a )
          = b )
        & ( ( F @ b )
          = a ) ),
    inference('cnf.neg',[status(esa)],[swap]) ).

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

thf(zip_derived_cl3,plain,
    ! [X2: $i > $i] :
      ~ ( ( ( X2 @ a )
          = b )
        & ( ( X2 @ b )
          = a ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl4,plain,
    ! [X2: $i > $i] :
      ( ( ( X2 @ a )
       != b )
      | ( ( X2 @ b )
       != a ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl5,plain,
    ! [X2: $i > $i] :
      ( ( ( X2 @ a )
       != b )
      | ( ( X2 @ b )
       != a ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl11,plain,
    ! [X0: $o > $i,X1: $o > $i,X2: $i > $o] :
      ( ~ ( X2 @ a )
      | ( ( ^ [Y0: $o] :
              ( ^ [Y1: $o,Y2: $i] : ( X0 @ Y1 )
              @ Y0
              @ ( X1 @ Y0 ) )
          @ $true )
       != b )
      | ( ( ^ [Y0: $i] :
              ( ^ [Y1: $o,Y2: $i] : ( X0 @ Y1 )
              @ ( X2 @ Y0 )
              @ Y0 )
          @ b )
       != a ) ),
    inference(fluid_loob_hoist,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $o > $i,X2: $i > $o] :
      ( ~ ( X2 @ a )
      | ( ( X0 @ $true )
       != b )
      | ( ( X0 @ ( X2 @ b ) )
       != a ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl11]) ).

thf(zip_derived_cl127,plain,
    ! [X0: $o > $i] :
      ( ( ( X0 @ $true )
       != b )
      | ( ( X0
          @ ( ^ [Y0: $i] :
                ( ( ^ [Y1: $i] : Y1
                  @ Y0 )
                = ( ^ [Y1: $i] : a
                  @ Y0 ) )
            @ b ) )
       != a ) ),
    inference(fluid_log_symbol_hoist,[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl168,plain,
    ! [X0: $o > $i] :
      ( ( ( X0 @ $true )
       != b )
      | ( ( X0 @ ( b = a ) )
       != a ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl127]) ).

thf(zip_derived_cl5_001,plain,
    ! [X2: $i > $i] :
      ( ( ( X2 @ a )
       != b )
      | ( ( X2 @ b )
       != a ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl6,plain,
    ( ( ^ [Y0: $i] : b
      @ b )
   != a ),
    inference(eq_res,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl7,plain,
    b != a,
    inference(ho_norm,[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl169,plain,
    ! [X0: $o > $i] :
      ( ( ( X0 @ $true )
       != b )
      | ( ( X0 @ $false )
       != a ) ),
    inference(inner_simplify_reflect,[status(thm)],[zip_derived_cl168,zip_derived_cl7]) ).

thf(zip_derived_cl423,plain,
    ! [X0: $o > $i,X1: $o > $i] :
      ( ( ( X0 @ $true )
       != b )
      | ( ( ^ [Y0: $o] :
              ( zf_ite @ Y0
              @ ( ^ [Y1: $o] : ( X0 @ Y1 )
                @ Y0 )
              @ ( ^ [Y1: $o] : ( X1 @ Y1 )
                @ Y0 ) )
          @ $false )
       != a ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl169]) ).

thf(zip_derived_cl453,plain,
    ! [X0: $o > $i,X1: $o > $i] :
      ( ( ( X0 @ $true )
       != b )
      | ( ( zf_ite @ $false @ ( X0 @ $false ) @ ( X1 @ $false ) )
       != a ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl423]) ).

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

thf(zip_derived_cl454,plain,
    ! [X0: $o > $i,X1: $o > $i] :
      ( ( ( X0 @ $true )
       != b )
      | ( ( X1 @ $false )
       != a ) ),
    inference(demod,[status(thm)],[zip_derived_cl453,zip_derived_cl2]) ).

thf(zip_derived_cl455,plain,
    ! [X0: $i,X1: $i] :
      ( ( ( ^ [Y0: $o] : X0
          @ $true )
       != b )
      | ( ( ^ [Y0: $o] : X1
          @ $false )
       != a ) ),
    inference(prune_arg_fun,[status(thm)],[zip_derived_cl454]) ).

thf(zip_derived_cl456,plain,
    ! [X0: $i,X1: $i] :
      ( ( X0 != b )
      | ( X1 != a ) ),
    inference(ho_norm,[status(thm)],[zip_derived_cl455]) ).

thf(zip_derived_cl457,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl456]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : CAT038^1 : TPTP v8.1.2. Released v4.1.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.NO0XgiDFgc true
% 0.13/0.34  % Computer : n027.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 : Sun Aug 27 00:36:20 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running portfolio for 300 s
% 0.13/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.34  % Number of cores: 8
% 0.13/0.34  % Python version: Python 3.6.8
% 0.13/0.35  % Running in HO mode
% 0.20/0.64  % Total configuration time : 828
% 0.20/0.64  % Estimated wc time : 1656
% 0.20/0.64  % Estimated cpu time (8 cpus) : 207.0
% 0.20/0.71  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.20/0.72  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.20/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.20/0.73  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 0.20/0.75  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.07/0.76  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 1.07/0.76  % /export/starexec/sandbox2/solver/bin/lams/15_old_s4.sh running for 30s
% 1.07/0.76  % /export/starexec/sandbox2/solver/bin/lams/15_lifting3.sh running for 30s
% 1.07/0.78  % /export/starexec/sandbox2/solver/bin/lams/33_shallow_sine.sh running for 66s
% 1.07/0.78  % /export/starexec/sandbox2/solver/bin/lams/15_lifting1.sh running for 30s
% 1.07/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_e_lift.sh running for 80s
% 1.07/0.79  % /export/starexec/sandbox2/solver/bin/lams/8_new_cnf.sh running for 16s
% 1.07/0.79  % /export/starexec/sandbox2/solver/bin/lams/8_add_var_l_av.sh running for 16s
% 1.07/0.79  % /export/starexec/sandbox2/solver/bin/lams/10_e_short2.sh running for 20s
% 1.07/0.83  % /export/starexec/sandbox2/solver/bin/lams/8_new_sh_or.sh running for 16s
% 1.07/0.83  % /export/starexec/sandbox2/solver/bin/lams/10_shallow_lift.sh running for 30s
% 1.07/0.83  % /export/starexec/sandbox2/solver/bin/lams/30_old_zip1.sh running for 36s
% 1.07/0.83  % /export/starexec/sandbox2/solver/bin/lams/15_lcnf_noform.sh running for 30s
% 1.07/0.83  % /export/starexec/sandbox2/solver/bin/lams/8_cmb.lcnf4.sh running for 10s
% 1.07/0.84  % /export/starexec/sandbox2/solver/bin/lams/8_sh.eqenc2.sh running for 10s
% 1.58/0.85  % /export/starexec/sandbox2/solver/bin/lams/8_new_l_av.sh running for 24s
% 1.58/0.86  % /export/starexec/sandbox2/solver/bin/lams/10_forms4.sh running for 20s
% 1.58/0.86  % /export/starexec/sandbox2/solver/bin/lams/10_forms1.sh running for 20s
% 1.58/0.86  % /export/starexec/sandbox2/solver/bin/lams/15_ch_av2.sh running for 26s
% 1.58/0.87  % Solved by lams/15_e_short1.sh.
% 1.58/0.87  % done 24 iterations in 0.086s
% 1.58/0.87  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.58/0.87  % SZS output start Refutation
% See solution above
% 1.58/0.87  
% 1.58/0.87  
% 1.58/0.88  % Terminating...
% 2.00/0.95  % Runner terminated.
% 2.00/0.96  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------