TSTP Solution File: SYO103^5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SYO103^5 : 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.jQ94SvtVG1 true

% Computer : n014.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 05:49:44 EDT 2023

% Result   : Theorem 1.42s 0.80s
% Output   : Refutation 1.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    5
% Syntax   : Number of formulae    :   27 (   6 unt;   4 typ;   0 def)
%            Number of atoms       :   88 (   0 equ;  10 cnn)
%            Maximal formula atoms :   20 (   3 avg)
%            Number of connectives :  354 (  26   ~;  20   |;  12   &; 273   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   9 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   4 usr;   5 con; 0-2 aty)
%                                         (  21  !!;   2  ??;   0 @@+;   0 @@-)
%            Number of variables   :   70 (  23   ^;  45   !;   2   ?;  70   :)

% Comments : 
%------------------------------------------------------------------------------
thf(imp_type,type,
    imp: $i > $i > $i ).

thf(nt_type,type,
    nt: $i > $i ).

thf(cT_type,type,
    cT: $i > $o ).

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

thf(cTHM147,conjecture,
    ~ ( ? [Xa: $i] :
          ~ ( cT @ ( imp @ Xa @ Xa ) )
      & ! [Xp: $i,Xq: $i] : ( cT @ ( imp @ ( imp @ ( nt @ Xp ) @ ( nt @ Xq ) ) @ ( imp @ Xq @ Xp ) ) )
      & ! [Xp: $i,Xq: $i,Xr: $i] : ( cT @ ( imp @ ( imp @ Xp @ ( imp @ Xq @ Xr ) ) @ ( imp @ ( imp @ Xp @ Xq ) @ ( imp @ Xp @ Xr ) ) ) )
      & ! [Xp: $i,Xq: $i] : ( cT @ ( imp @ Xp @ ( imp @ Xq @ Xp ) ) )
      & ! [Xp: $i,Xq: $i] :
          ( ~ ( cT @ ( imp @ Xp @ Xq ) )
          | ~ ( cT @ Xp )
          | ( cT @ Xq ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ( ? [Xa: $i] :
        ~ ( cT @ ( imp @ Xa @ Xa ) )
    & ! [Xp: $i,Xq: $i] : ( cT @ ( imp @ ( imp @ ( nt @ Xp ) @ ( nt @ Xq ) ) @ ( imp @ Xq @ Xp ) ) )
    & ! [Xp: $i,Xq: $i,Xr: $i] : ( cT @ ( imp @ ( imp @ Xp @ ( imp @ Xq @ Xr ) ) @ ( imp @ ( imp @ Xp @ Xq ) @ ( imp @ Xp @ Xr ) ) ) )
    & ! [Xp: $i,Xq: $i] : ( cT @ ( imp @ Xp @ ( imp @ Xq @ Xp ) ) )
    & ! [Xp: $i,Xq: $i] :
        ( ~ ( cT @ ( imp @ Xp @ Xq ) )
        | ~ ( cT @ Xp )
        | ( cT @ Xq ) ) ),
    inference('cnf.neg',[status(esa)],[cTHM147]) ).

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

thf(zip_derived_cl1,plain,
    ( ??
    @ ^ [Y0: $i] : ( (~) @ ( cT @ ( imp @ Y0 @ Y0 ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl6,plain,
    ~ ( cT @ ( imp @ '#sk1' @ '#sk1' ) ),
    inference(lazy_cnf_exists,[status(thm)],[zip_derived_cl1]) ).

thf(zip_derived_cl4,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] : ( cT @ ( imp @ Y0 @ ( imp @ Y1 @ Y0 ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl9,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] : ( cT @ ( imp @ X2 @ ( imp @ Y0 @ X2 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl4]) ).

thf(zip_derived_cl13,plain,
    ! [X2: $i,X4: $i] : ( cT @ ( imp @ X2 @ ( imp @ X4 @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl3,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( !!
            @ ^ [Y2: $i] : ( cT @ ( imp @ ( imp @ Y0 @ ( imp @ Y1 @ Y2 ) ) @ ( imp @ ( imp @ Y0 @ Y1 ) @ ( imp @ Y0 @ Y2 ) ) ) ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl8,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( !!
          @ ^ [Y1: $i] : ( cT @ ( imp @ ( imp @ X2 @ ( imp @ Y0 @ Y1 ) ) @ ( imp @ ( imp @ X2 @ Y0 ) @ ( imp @ X2 @ Y1 ) ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl3]) ).

thf(zip_derived_cl12,plain,
    ! [X2: $i,X4: $i] :
      ( !!
      @ ^ [Y0: $i] : ( cT @ ( imp @ ( imp @ X2 @ ( imp @ X4 @ Y0 ) ) @ ( imp @ ( imp @ X2 @ X4 ) @ ( imp @ X2 @ Y0 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl8]) ).

thf(zip_derived_cl15,plain,
    ! [X2: $i,X4: $i,X6: $i] : ( cT @ ( imp @ ( imp @ X2 @ ( imp @ X4 @ X6 ) ) @ ( imp @ ( imp @ X2 @ X4 ) @ ( imp @ X2 @ X6 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl12]) ).

thf(zip_derived_cl5,plain,
    ( !!
    @ ^ [Y0: $i] :
        ( !!
        @ ^ [Y1: $i] :
            ( ( (~) @ ( cT @ ( imp @ Y0 @ Y1 ) ) )
            | ( (~) @ ( cT @ Y0 ) )
            | ( cT @ Y1 ) ) ) ),
    inference(lazy_cnf_and,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl10,plain,
    ! [X2: $i] :
      ( !!
      @ ^ [Y0: $i] :
          ( ( (~) @ ( cT @ ( imp @ X2 @ Y0 ) ) )
          | ( (~) @ ( cT @ X2 ) )
          | ( cT @ Y0 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl5]) ).

thf(zip_derived_cl14,plain,
    ! [X2: $i,X4: $i] :
      ( ( (~) @ ( cT @ ( imp @ X2 @ X4 ) ) )
      | ( (~) @ ( cT @ X2 ) )
      | ( cT @ X4 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl10]) ).

thf(zip_derived_cl16,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( cT @ ( imp @ X2 @ X4 ) )
      | ~ ( cT @ X2 )
      | ( cT @ X4 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl33,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( cT @ ( imp @ ( imp @ X1 @ X2 ) @ ( imp @ X1 @ X0 ) ) )
      | ~ ( cT @ ( imp @ X1 @ ( imp @ X2 @ X0 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl15,zip_derived_cl16]) ).

thf(zip_derived_cl16_001,plain,
    ! [X2: $i,X4: $i] :
      ( ~ ( cT @ ( imp @ X2 @ X4 ) )
      | ~ ( cT @ X2 )
      | ( cT @ X4 ) ),
    inference(lazy_cnf_or,[status(thm)],[zip_derived_cl14]) ).

thf(zip_derived_cl41,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ( cT @ ( imp @ X1 @ ( imp @ X2 @ X0 ) ) )
      | ( cT @ ( imp @ X1 @ X0 ) )
      | ~ ( cT @ ( imp @ X1 @ X2 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl33,zip_derived_cl16]) ).

thf(zip_derived_cl13_002,plain,
    ! [X2: $i,X4: $i] : ( cT @ ( imp @ X2 @ ( imp @ X4 @ X2 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl9]) ).

thf(zip_derived_cl48,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( cT @ ( imp @ X0 @ X1 ) )
      | ( cT @ ( imp @ X0 @ X0 ) ) ),
    inference('sup+',[status(thm)],[zip_derived_cl41,zip_derived_cl13]) ).

thf(zip_derived_cl68,plain,
    ! [X0: $i] : ( cT @ ( imp @ X0 @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl48]) ).

thf(zip_derived_cl77,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl6,zip_derived_cl68]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO103^5 : 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.jQ94SvtVG1 true
% 0.13/0.35  % Computer : n014.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Sat Aug 26 00:34:47 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running portfolio for 300 s
% 0.13/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35  % Number of cores: 8
% 0.20/0.35  % Python version: Python 3.6.8
% 0.20/0.36  % Running in HO mode
% 0.20/0.66  % Total configuration time : 828
% 0.20/0.66  % Estimated wc time : 1656
% 0.20/0.66  % Estimated cpu time (8 cpus) : 207.0
% 1.05/0.75  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.05/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.05/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 1.05/0.76  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.05/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.05/0.76  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.05/0.76  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.42/0.80  % Solved by lams/35_full_unif4.sh.
% 1.42/0.80  % done 26 iterations in 0.032s
% 1.42/0.80  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.42/0.80  % SZS output start Refutation
% See solution above
% 1.42/0.80  
% 1.42/0.80  
% 1.42/0.80  % Terminating...
% 1.42/0.86  % Runner terminated.
% 1.91/0.87  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------