TSTP Solution File: SWW312+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW312+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.CzdWa85ejx 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 6.71s 1.68s
% Output   : Refutation 6.71s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   23 (   9 unt;  11 typ;   0 def)
%            Number of atoms       :   17 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  135 (   6   ~;   3   |;   0   &; 124   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   15 (   8 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   :    9 (   0   ^;   9   !;   0   ?;   9   :)

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

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

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

thf(c_Orderings_Obot__class_Obot_type,type,
    c_Orderings_Obot__class_Obot: $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(v_t_type,type,
    v_t: $i ).

thf(c_Set_Oinsert_type,type,
    c_Set_Oinsert: $i > $i ).

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

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

thf(fact_hoare__derivs_Oinsert,axiom,
    ! [V_tsa_2: $i,V_t_2: $i,V_G_2: $i,T_b: $i] :
      ( ( c_Hoare__Mirabelle_Ohoare__derivs @ T_b @ V_G_2 @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ T_b ) ) @ V_t_2 ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ T_b ) @ tc_HOL_Obool ) ) ) )
     => ( ( c_Hoare__Mirabelle_Ohoare__derivs @ T_b @ V_G_2 @ V_tsa_2 )
       => ( c_Hoare__Mirabelle_Ohoare__derivs @ T_b @ V_G_2 @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ T_b ) ) @ V_t_2 ) @ V_tsa_2 ) ) ) ) ).

thf(zip_derived_cl6,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ X0 @ X1 @ X2 )
      | ( c_Hoare__Mirabelle_Ohoare__derivs @ X0 @ X1 @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ X0 ) ) @ X3 ) @ X2 ) )
      | ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ X0 @ X1 @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ X0 ) ) @ X3 ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ X0 ) @ tc_HOL_Obool ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_hoare__derivs_Oinsert]) ).

thf(conj_3,axiom,
    c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_Ga @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ v_t ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) ) ).

thf(zip_derived_cl108,plain,
    c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_Ga @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ v_t ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) @ tc_HOL_Obool ) ) ),
    inference(cnf,[status(esa)],[conj_3]) ).

thf(zip_derived_cl220,plain,
    ! [X0: $i] :
      ( ( c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_Ga @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ v_t ) @ X0 ) )
      | ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_Ga @ X0 ) ),
    inference('sup+',[status(thm)],[zip_derived_cl6,zip_derived_cl108]) ).

thf(conj_5,conjecture,
    c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_Ga @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ v_t ) @ v_ts ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_Ga @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ v_t ) @ v_ts ) ),
    inference('cnf.neg',[status(esa)],[conj_5]) ).

thf(zip_derived_cl110,plain,
    ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_Ga @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ ( tc_Hoare__Mirabelle_Otriple @ t_a ) ) @ v_t ) @ v_ts ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl298,plain,
    ~ ( c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_Ga @ v_ts ),
    inference('sup-',[status(thm)],[zip_derived_cl220,zip_derived_cl110]) ).

thf(conj_4,axiom,
    c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_Ga @ v_ts ).

thf(zip_derived_cl109,plain,
    c_Hoare__Mirabelle_Ohoare__derivs @ t_a @ v_Ga @ v_ts,
    inference(cnf,[status(esa)],[conj_4]) ).

thf(zip_derived_cl302,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl298,zip_derived_cl109]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : SWW312+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.CzdWa85ejx true
% 0.14/0.35  % Computer : n008.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 : Sun Aug 27 20:36:47 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
% 0.14/0.36  % Python version: Python 3.6.8
% 0.14/0.36  % Running in FO mode
% 0.22/0.69  % Total configuration time : 435
% 0.22/0.69  % Estimated wc time : 1092
% 0.22/0.69  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.83  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.83  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.83  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.83  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.83  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.83  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.88/0.86  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 6.71/1.68  % Solved by fo/fo4.sh.
% 6.71/1.68  % done 97 iterations in 0.788s
% 6.71/1.68  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 6.71/1.68  % SZS output start Refutation
% See solution above
% 6.71/1.68  
% 6.71/1.68  
% 6.71/1.68  % Terminating...
% 7.26/1.73  % Runner terminated.
% 7.26/1.75  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------