TSTP Solution File: SYO518^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO518^1 : 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.dkCoQMfBFs true

% Computer : n024.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 05:51:51 EDT 2023

% Result   : Theorem 10.86s 2.17s
% Output   : Refutation 10.86s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   16 (   3 unt;   3 typ;   0 def)
%            Number of atoms       :   48 (  22 equ;   0 cnn)
%            Maximal formula atoms :    5 (   3 avg)
%            Number of connectives :  122 (  13   ~;   4   |;   6   &;  93   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   35 (  35   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   3 usr;   4 con; 0-3 aty)
%                                         (   5  !!;   1  ??;   0 @@+;   0 @@-)
%            Number of variables   :   23 (   6   ^;  15   !;   2   ?;  23   :)

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

thf('#sk5_type',type,
    '#sk5': ( $o > $i > $i > $i ) > $i ).

thf('#sk17_type',type,
    '#sk17': ( $o > $i > $i > $i ) > $i ).

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

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

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

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

thf(zip_derived_cl3,plain,
    ! [X2: $o > $i > $i > $i] :
      ~ ( !!
        @ ^ [Y0: $i] :
            ( !!
            @ ^ [Y1: $i] :
                ( ( ( X2 @ $true @ Y0 @ Y1 )
                  = Y0 )
                & ( ( X2 @ $false @ Y0 @ Y1 )
                  = Y1 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl4,plain,
    ! [X2: $o > $i > $i > $i] :
      ~ ( !!
        @ ^ [Y0: $i] :
            ( ( ( X2 @ $true @ ( '#sk5' @ X2 ) @ Y0 )
              = ( '#sk5' @ X2 ) )
            & ( ( X2 @ $false @ ( '#sk5' @ X2 ) @ Y0 )
              = Y0 ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl5,plain,
    ! [X2: $o > $i > $i > $i] :
      ~ ( ( ( X2 @ $true @ ( '#sk5' @ X2 ) @ ( '#sk17' @ X2 ) )
          = ( '#sk5' @ X2 ) )
        & ( ( X2 @ $false @ ( '#sk5' @ X2 ) @ ( '#sk17' @ X2 ) )
          = ( '#sk17' @ X2 ) ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl6,plain,
    ! [X2: $o > $i > $i > $i] :
      ( ( ( X2 @ $true @ ( '#sk5' @ X2 ) @ ( '#sk17' @ X2 ) )
       != ( '#sk5' @ X2 ) )
      | ( ( X2 @ $false @ ( '#sk5' @ X2 ) @ ( '#sk17' @ X2 ) )
       != ( '#sk17' @ X2 ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl7,plain,
    ! [X2: $o > $i > $i > $i] :
      ( ( ( X2 @ $true @ ( '#sk5' @ X2 ) @ ( '#sk17' @ X2 ) )
       != ( '#sk5' @ X2 ) )
      | ( ( X2 @ $false @ ( '#sk5' @ X2 ) @ ( '#sk17' @ X2 ) )
       != ( '#sk17' @ X2 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl6]) ).

thf(zip_derived_cl286,plain,
    ( ( ( '#sk17' @ zf_ite )
     != ( '#sk17' @ zf_ite ) )
    | ( ( zf_ite @ $true @ ( '#sk5' @ zf_ite ) @ ( '#sk17' @ zf_ite ) )
     != ( '#sk5' @ zf_ite ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl2,zip_derived_cl7]) ).

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

thf(zip_derived_cl365,plain,
    ( ( ( '#sk17' @ zf_ite )
     != ( '#sk17' @ zf_ite ) )
    | ( ( '#sk5' @ zf_ite )
     != ( '#sk5' @ zf_ite ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl286,zip_derived_cl1]) ).

thf(zip_derived_cl366,plain,
    $false,
    inference(simplify,[status(thm)],[zip_derived_cl365]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYO518^1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.dkCoQMfBFs true
% 0.14/0.35  % Computer : n024.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sat Aug 26 07:07:24 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.14/0.35  % Running in HO mode
% 0.22/0.65  % Total configuration time : 828
% 0.22/0.65  % Estimated wc time : 1656
% 0.22/0.65  % Estimated cpu time (8 cpus) : 207.0
% 0.22/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.22/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.22/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.22/0.78  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.22/0.78  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.32/0.78  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 1.39/0.82  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 56s
% 1.39/0.82  % /export/starexec/sandbox2/solver/bin/lams/15_old_s4.sh running for 30s
% 1.39/0.87  % /export/starexec/sandbox2/solver/bin/lams/15_lifting3.sh running for 30s
% 1.39/0.88  % /export/starexec/sandbox2/solver/bin/lams/33_shallow_sine.sh running for 66s
% 1.46/0.91  % /export/starexec/sandbox2/solver/bin/lams/40_e_lift.sh running for 80s
% 1.46/0.91  % /export/starexec/sandbox2/solver/bin/lams/15_lifting1.sh running for 30s
% 1.46/0.93  % /export/starexec/sandbox2/solver/bin/lams/8_new_cnf.sh running for 16s
% 1.46/0.96  % /export/starexec/sandbox2/solver/bin/lams/10_e_short2.sh running for 20s
% 1.46/0.97  % /export/starexec/sandbox2/solver/bin/lams/8_add_var_l_av.sh running for 16s
% 1.67/1.01  % /export/starexec/sandbox2/solver/bin/lams/30_old_zip1.sh running for 36s
% 1.67/1.04  % /export/starexec/sandbox2/solver/bin/lams/8_new_sh_or.sh running for 16s
% 1.74/1.09  % /export/starexec/sandbox2/solver/bin/lams/10_shallow_lift.sh running for 30s
% 1.74/1.09  % /export/starexec/sandbox2/solver/bin/lams/15_lcnf_noform.sh running for 30s
% 1.74/1.13  % /export/starexec/sandbox2/solver/bin/lams/8_sh.eqenc2.sh running for 10s
% 10.86/2.17  % Solved by lams/15_e_short1.sh.
% 10.86/2.17  % done 5 iterations in 1.396s
% 10.86/2.17  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 10.86/2.17  % SZS output start Refutation
% See solution above
% 10.86/2.17  
% 10.86/2.17  
% 10.86/2.17  % Terminating...
% 11.28/2.29  % Runner terminated.
% 11.28/2.31  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------