TSTP Solution File: SWW337+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW337+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.uBIdhU3Rdv true

% Computer : n032.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 01:41:37 EDT 2023

% Result   : Theorem 4.06s 1.09s
% Output   : Refutation 4.06s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   26 (   7 unt;  13 typ;   0 def)
%            Number of atoms       :   25 (   0 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  160 (   6   ~;   4   |;   0   &; 142   @)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   9 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  13 usr;   7 con; 0-3 aty)
%            Number of variables   :   16 (   0   ^;  16   !;   0   ?;  16   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tc_Hoare__Mirabelle_Otriple_type,type,
    tc_Hoare__Mirabelle_Otriple: $i > $i ).

thf(t_a_type,type,
    t_a: $i ).

thf(v_ts_type,type,
    v_ts: $i ).

thf(hBOOL_type,type,
    hBOOL: $i > $o ).

thf(hAPP_type,type,
    hAPP: $i > $i > $i ).

thf(c_Orderings_Oord__class_Oless__eq_type,type,
    c_Orderings_Oord__class_Oless__eq: $i > $i ).

thf(c_Hoare__Mirabelle_Otriple__valid_type,type,
    c_Hoare__Mirabelle_Otriple__valid: $i > $i > $i > $o ).

thf(sk__3_type,type,
    sk__3: $i ).

thf(v_G_type,type,
    v_G: $i ).

thf(tc_HOL_Obool_type,type,
    tc_HOL_Obool: $i ).

thf(tc_fun_type,type,
    tc_fun: $i > $i > $i ).

thf(c_member_type,type,
    c_member: $i > $i ).

thf(sk__2_type,type,
    sk__2: $i ).

thf(conj_1,conjecture,
    ! [B_n: $i] :
      ( ! [B_x: $i] :
          ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ B_x ) @ v_G ) )
         => ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ B_n @ B_x ) )
     => ! [B_x: $i] :
          ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ B_x ) @ v_ts ) )
         => ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ B_n @ B_x ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [B_n: $i] :
        ( ! [B_x: $i] :
            ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ B_x ) @ v_G ) )
           => ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ B_n @ B_x ) )
       => ! [B_x: $i] :
            ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ B_x ) @ v_ts ) )
           => ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ B_n @ B_x ) ) ),
    inference('cnf.neg',[status(esa)],[conj_1]) ).

thf(zip_derived_cl32,plain,
    ~ ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ sk__2 @ sk__3 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(conj_0,axiom,
    hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) @ v_ts ) @ v_G ) ).

thf(zip_derived_cl30,plain,
    hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) @ v_ts ) @ v_G ),
    inference(cnf,[status(esa)],[conj_0]) ).

thf(fact_subsetD,axiom,
    ! [V_c_2: $i,V_B_2: $i,V_A_2: $i,T_b: $i] :
      ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ T_b @ tc_HOL_Obool ) ) @ V_A_2 ) @ V_B_2 ) )
     => ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_b ) @ V_c_2 ) @ V_A_2 ) )
       => ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_b ) @ V_c_2 ) @ V_B_2 ) ) ) ) ).

thf(zip_derived_cl17,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X0 ) @ X1 ) @ X2 ) )
      | ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X0 ) @ X1 ) @ X3 ) )
      | ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) @ X2 ) @ X3 ) ) ),
    inference(cnf,[status(esa)],[fact_subsetD]) ).

thf(zip_derived_cl143,plain,
    ! [X0: $i] :
      ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ X0 ) @ v_G ) )
      | ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ X0 ) @ v_ts ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl30,zip_derived_cl17]) ).

thf(zip_derived_cl33,plain,
    hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ sk__3 ) @ v_ts ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl148,plain,
    hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ sk__3 ) @ v_G ),
    inference('sup+',[status(thm)],[zip_derived_cl143,zip_derived_cl33]) ).

thf(zip_derived_cl31,plain,
    ! [X0: $i] :
      ( ( c_Hoare__Mirabelle_Otriple__valid @ t_a @ sk__2 @ X0 )
      | ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ X0 ) @ v_G ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl161,plain,
    c_Hoare__Mirabelle_Otriple__valid @ t_a @ sk__2 @ sk__3,
    inference('sup-',[status(thm)],[zip_derived_cl148,zip_derived_cl31]) ).

thf(zip_derived_cl176,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl32,zip_derived_cl161]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : SWW337+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.10  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.uBIdhU3Rdv true
% 0.09/0.28  % Computer : n032.cluster.edu
% 0.09/0.28  % Model    : x86_64 x86_64
% 0.09/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28  % Memory   : 8042.1875MB
% 0.09/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28  % CPULimit : 300
% 0.09/0.28  % WCLimit  : 300
% 0.09/0.28  % DateTime : Sun Aug 27 20:01:00 EDT 2023
% 0.09/0.29  % CPUTime  : 
% 0.09/0.29  % Running portfolio for 300 s
% 0.09/0.29  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.29  % Number of cores: 8
% 0.09/0.29  % Python version: Python 3.6.8
% 0.09/0.29  % Running in FO mode
% 0.13/0.49  % Total configuration time : 435
% 0.13/0.49  % Estimated wc time : 1092
% 0.13/0.49  % Estimated cpu time (7 cpus) : 156.0
% 0.13/0.54  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.13/0.55  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.13/0.55  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.13/0.57  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.13/0.58  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.13/0.58  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.13/0.58  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 4.06/1.09  % Solved by fo/fo4.sh.
% 4.06/1.09  % done 91 iterations in 0.494s
% 4.06/1.09  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 4.06/1.09  % SZS output start Refutation
% See solution above
% 4.06/1.09  
% 4.06/1.09  
% 4.06/1.09  % Terminating...
% 4.82/1.20  % Runner terminated.
% 4.82/1.22  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------