TSTP Solution File: SWW313+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW313+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.PCXOOPQK1a true

% Computer : n008.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 01:41:31 EDT 2023

% Result   : Theorem 5.13s 1.27s
% Output   : Refutation 5.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   16
% Syntax   : Number of formulae    :   26 (  10 unt;  11 typ;   0 def)
%            Number of atoms       :   22 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  125 (   7   ~;   4   |;   0   &; 111   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   9 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   10 (  10   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (  11 usr;   6 con; 0-3 aty)
%            Number of variables   :   15 (   0   ^;  15   !;   0   ?;  15   :)

% Comments : 
%------------------------------------------------------------------------------
thf(v_G_type,type,
    v_G: $i ).

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

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

thf(v_Ga_type,type,
    v_Ga: $i ).

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(tc_HOL_Obool_type,type,
    tc_HOL_Obool: $i ).

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

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

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

thf(c_Hoare__Mirabelle_Ohoare__derivs_type,type,
    c_Hoare__Mirabelle_Ohoare__derivs: $i > $i > $i > $o ).

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_cl6,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_weaken,axiom,
    ! [V_tsa_2: $i,V_ts_H_2: $i,V_G_2: $i,T_b: $i] :
      ( ( c_Hoare__Mirabelle_Ohoare__derivs @ T_b @ V_G_2 @ V_ts_H_2 )
     => ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ T_b ) @ tc_HOL_Obool ) ) @ V_tsa_2 ) @ V_ts_H_2 ) )
       => ( c_Hoare__Mirabelle_Ohoare__derivs @ T_b @ V_G_2 @ V_tsa_2 ) ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ X0 ) @ tc_HOL_Obool ) ) @ X1 ) @ X2 ) )
      | ( c_Hoare__Mirabelle_Ohoare__derivs @ X0 @ X3 @ X1 )
      | ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ X0 @ X3 @ X2 ) ),
    inference(cnf,[status(esa)],[fact_weaken]) ).

thf(zip_derived_cl13,plain,
    ! [X0: $i] :
      ( ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ X0 @ v_G )
      | ( c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ X0 @ v_ts ) ),
    inference('sup-',[status(thm)],[zip_derived_cl6,zip_derived_cl1]) ).

thf(conj_2,conjecture,
    c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_Ga @ v_ts ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_Ga @ v_ts ),
    inference('cnf.neg',[status(esa)],[conj_2]) ).

thf(zip_derived_cl8,plain,
    ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_Ga @ v_ts ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl17,plain,
    ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_Ga @ v_G ),
    inference('sup-',[status(thm)],[zip_derived_cl13,zip_derived_cl8]) ).

thf(conj_1,axiom,
    hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) @ v_G ) @ v_Ga ) ).

thf(zip_derived_cl7,plain,
    hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) @ v_G ) @ v_Ga ),
    inference(cnf,[status(esa)],[conj_1]) ).

thf(fact_asm,axiom,
    ! [V_G_2: $i,V_tsa_2: $i,T_b: $i] :
      ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ T_b ) @ tc_HOL_Obool ) ) @ V_tsa_2 ) @ V_G_2 ) )
     => ( c_Hoare__Mirabelle_Ohoare__derivs @ T_b @ V_G_2 @ V_tsa_2 ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( c_Hoare__Mirabelle_Ohoare__derivs @ X0 @ X1 @ X2 )
      | ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ X0 ) @ tc_HOL_Obool ) ) @ X2 ) @ X1 ) ) ),
    inference(cnf,[status(esa)],[fact_asm]) ).

thf(zip_derived_cl20,plain,
    c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_Ga @ v_G,
    inference('sup-',[status(thm)],[zip_derived_cl7,zip_derived_cl0]) ).

thf(zip_derived_cl23,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl17,zip_derived_cl20]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWW313+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.PCXOOPQK1a true
% 0.13/0.35  % Computer : n008.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 : Sun Aug 27 19:30:47 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
% 0.13/0.35  % Python version: Python 3.6.8
% 0.13/0.35  % Running in FO mode
% 0.20/0.59  % Total configuration time : 435
% 0.20/0.59  % Estimated wc time : 1092
% 0.20/0.59  % Estimated cpu time (7 cpus) : 156.0
% 0.20/0.67  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.20/0.68  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.20/0.69  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.20/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.20/0.70  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.20/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.20/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 5.13/1.27  % Solved by fo/fo4.sh.
% 5.13/1.27  % done 13 iterations in 0.524s
% 5.13/1.27  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 5.13/1.27  % SZS output start Refutation
% See solution above
% 5.13/1.27  
% 5.13/1.27  
% 5.13/1.27  % Terminating...
% 5.13/1.31  % Runner terminated.
% 5.13/1.31  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------