TSTP Solution File: SWW368+1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW368+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.JpfH9P6Zxt true

% Computer : n022.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 01:41:43 EDT 2023

% Result   : Theorem 12.62s 2.44s
% Output   : Refutation 12.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   29 (  10 unt;  14 typ;   0 def)
%            Number of atoms       :   22 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  251 (   9   ~;   4   |;   1   &; 235   @)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (  10 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   11 (  11   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  14 usr;   8 con; 0-3 aty)
%            Number of variables   :   18 (   0   ^;  18   !;   0   ?;  18   :)

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

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

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

thf(c_Set_Oimage_type,type,
    c_Set_Oimage: $i > $i > $i > $i ).

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

thf(v_mgt__call_type,type,
    v_mgt__call: $i ).

thf(v_U_type,type,
    v_U: $i ).

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

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

thf(v_pn_type,type,
    v_pn: $i ).

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

thf(fact_imageI,axiom,
    ! [V_f_2: $i,T_c: $i,V_A_2: $i,V_x_2: $i,T_b: $i] :
      ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_b ) @ V_x_2 ) @ V_A_2 ) )
     => ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_c ) @ ( hAPP @ V_f_2 @ V_x_2 ) ) @ ( hAPP @ ( c_Set_Oimage @ T_b @ T_c @ V_f_2 ) @ V_A_2 ) ) ) ) ).

thf(zip_derived_cl36,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X0 ) @ ( hAPP @ X1 @ X2 ) ) @ ( hAPP @ ( c_Set_Oimage @ X3 @ X0 @ X1 ) @ X4 ) ) )
      | ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X3 ) @ X2 ) @ X4 ) ) ),
    inference(cnf,[status(esa)],[fact_imageI]) ).

thf(fact_insert__subset,axiom,
    ! [V_B_2: $i,V_A_2: $i,V_x_2: $i,T_b: $i] :
      ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ T_b @ tc_HOL_Obool ) ) @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ T_b ) @ V_x_2 ) @ V_A_2 ) ) @ V_B_2 ) )
    <=> ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ T_b ) @ V_x_2 ) @ V_B_2 ) )
        & ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ T_b @ tc_HOL_Obool ) ) @ V_A_2 ) @ V_B_2 ) ) ) ) ).

thf(zip_derived_cl54,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ X0 ) @ X1 ) @ X2 ) ) @ X3 ) )
      | ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ X0 @ tc_HOL_Obool ) ) @ X2 ) @ X3 ) )
      | ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ X0 ) @ X1 ) @ X3 ) ) ),
    inference(cnf,[status(esa)],[fact_insert__subset]) ).

thf(conj_6,conjecture,
    hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ t_a @ tc_HOL_Obool ) ) @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ t_a ) @ ( hAPP @ v_mgt__call @ v_pn ) ) @ v_G ) ) @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ t_a @ tc_HOL_Obool ) ) @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ t_a ) @ ( hAPP @ v_mgt__call @ v_pn ) ) @ v_G ) ) @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) ) ),
    inference('cnf.neg',[status(esa)],[conj_6]) ).

thf(zip_derived_cl185,plain,
    ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ t_a @ tc_HOL_Obool ) ) @ ( hAPP @ ( hAPP @ ( c_Set_Oinsert @ t_a ) @ ( hAPP @ v_mgt__call @ v_pn ) ) @ v_G ) ) @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl5028,plain,
    ( ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ t_a ) @ ( hAPP @ v_mgt__call @ v_pn ) ) @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) ) )
    | ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ t_a @ tc_HOL_Obool ) ) @ v_G ) @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl185]) ).

thf(conj_1,axiom,
    hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ t_a @ tc_HOL_Obool ) ) @ v_G ) @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) ) ).

thf(zip_derived_cl181,plain,
    hBOOL @ ( hAPP @ ( hAPP @ ( c_Orderings_Oord__class_Oless__eq @ ( tc_fun @ t_a @ tc_HOL_Obool ) ) @ v_G ) @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) ),
    inference(cnf,[status(esa)],[conj_1]) ).

thf(zip_derived_cl5059,plain,
    ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ t_a ) @ ( hAPP @ v_mgt__call @ v_pn ) ) @ ( hAPP @ ( c_Set_Oimage @ tc_Com_Opname @ t_a @ v_mgt__call ) @ v_U ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl5028,zip_derived_cl181]) ).

thf(zip_derived_cl5067,plain,
    ~ ( hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ tc_Com_Opname ) @ v_pn ) @ v_U ) ),
    inference('sup-',[status(thm)],[zip_derived_cl36,zip_derived_cl5059]) ).

thf(conj_4,axiom,
    hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ tc_Com_Opname ) @ v_pn ) @ v_U ) ).

thf(zip_derived_cl183,plain,
    hBOOL @ ( hAPP @ ( hAPP @ ( c_member @ tc_Com_Opname ) @ v_pn ) @ v_U ),
    inference(cnf,[status(esa)],[conj_4]) ).

thf(zip_derived_cl5083,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl5067,zip_derived_cl183]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SWW368+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.JpfH9P6Zxt true
% 0.15/0.35  % Computer : n022.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit : 300
% 0.15/0.35  % WCLimit  : 300
% 0.15/0.35  % DateTime : Sun Aug 27 22:11:09 EDT 2023
% 0.15/0.35  % CPUTime  : 
% 0.15/0.35  % Running portfolio for 300 s
% 0.15/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.35  % Number of cores: 8
% 0.15/0.35  % Python version: Python 3.6.8
% 0.15/0.35  % Running in FO mode
% 0.21/0.65  % Total configuration time : 435
% 0.21/0.65  % Estimated wc time : 1092
% 0.21/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.21/0.72  % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.21/0.75  % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 12.62/2.44  % Solved by fo/fo4.sh.
% 12.62/2.44  % done 512 iterations in 1.667s
% 12.62/2.44  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 12.62/2.44  % SZS output start Refutation
% See solution above
% 12.62/2.44  
% 12.62/2.44  
% 12.62/2.44  % Terminating...
% 13.19/2.56  % Runner terminated.
% 13.19/2.57  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------