TSTP Solution File: SWW473+5 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SWW473+5 : TPTP v8.1.2. Released v5.3.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.raSqCO035b true

% Computer : n002.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 01:42:11 EDT 2023

% Result   : Theorem 1.35s 1.27s
% Output   : Refutation 1.35s
% 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 :  735 (   9   ~;   4   |;   1   &; 719   @)
%                                         (   1 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   19 (  14 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   15 (  14 usr;   8 con; 0-4 aty)
%            Number of variables   :   18 (   0   ^;  18   !;   0   ?;  18   :)

% Comments : 
%------------------------------------------------------------------------------
thf(fun_type,type,
    fun: $i > $i > $i ).

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

thf(pname_type,type,
    pname: $i ).

thf(u_type,type,
    u: $i ).

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

thf(x_a_type,type,
    x_a: $i ).

thf(mgt_call_type,type,
    mgt_call: $i ).

thf(ord_less_eq_type,type,
    ord_less_eq: $i > $i ).

thf(bool_type,type,
    bool: $i ).

thf(image_type,type,
    image: $i > $i > $i ).

thf(pn_type,type,
    pn: $i ).

thf(g_type,type,
    g: $i ).

thf(insert_type,type,
    insert: $i > $i ).

thf(member_type,type,
    member: $i > $i ).

thf(fact_78_imageI,axiom,
    ! [X_c: $i,X_b: $i,F: $i,X_2: $i,A_1: $i] :
      ( ( hBOOL @ ( hAPP @ ( fun @ X_b @ bool ) @ bool @ ( hAPP @ X_b @ ( fun @ ( fun @ X_b @ bool ) @ bool ) @ ( member @ X_b ) @ X_2 ) @ A_1 ) )
     => ( hBOOL @ ( hAPP @ ( fun @ X_c @ bool ) @ bool @ ( hAPP @ X_c @ ( fun @ ( fun @ X_c @ bool ) @ bool ) @ ( member @ X_c ) @ ( hAPP @ X_b @ X_c @ F @ X_2 ) ) @ ( hAPP @ ( fun @ X_b @ bool ) @ ( fun @ X_c @ bool ) @ ( hAPP @ ( fun @ X_b @ X_c ) @ ( fun @ ( fun @ X_b @ bool ) @ ( fun @ X_c @ bool ) ) @ ( image @ X_b @ X_c ) @ F ) @ A_1 ) ) ) ) ).

thf(zip_derived_cl49,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ( hBOOL @ ( hAPP @ ( fun @ X0 @ bool ) @ bool @ ( hAPP @ X0 @ ( fun @ ( fun @ X0 @ bool ) @ bool ) @ ( member @ X0 ) @ ( hAPP @ X1 @ X0 @ X2 @ X3 ) ) @ ( hAPP @ ( fun @ X1 @ bool ) @ ( fun @ X0 @ bool ) @ ( hAPP @ ( fun @ X1 @ X0 ) @ ( fun @ ( fun @ X1 @ bool ) @ ( fun @ X0 @ bool ) ) @ ( image @ X1 @ X0 ) @ X2 ) @ X4 ) ) )
      | ~ ( hBOOL @ ( hAPP @ ( fun @ X1 @ bool ) @ bool @ ( hAPP @ X1 @ ( fun @ ( fun @ X1 @ bool ) @ bool ) @ ( member @ X1 ) @ X3 ) @ X4 ) ) ),
    inference(cnf,[status(esa)],[fact_78_imageI]) ).

thf(fact_84_insert__subset,axiom,
    ! [X_b: $i,X_2: $i,A_1: $i,B: $i] :
      ( ( hBOOL @ ( hAPP @ ( fun @ X_b @ bool ) @ bool @ ( hAPP @ ( fun @ X_b @ bool ) @ ( fun @ ( fun @ X_b @ bool ) @ bool ) @ ( ord_less_eq @ ( fun @ X_b @ bool ) ) @ ( hAPP @ ( fun @ X_b @ bool ) @ ( fun @ X_b @ bool ) @ ( hAPP @ X_b @ ( fun @ ( fun @ X_b @ bool ) @ ( fun @ X_b @ bool ) ) @ ( insert @ X_b ) @ X_2 ) @ A_1 ) ) @ B ) )
    <=> ( ( hBOOL @ ( hAPP @ ( fun @ X_b @ bool ) @ bool @ ( hAPP @ X_b @ ( fun @ ( fun @ X_b @ bool ) @ bool ) @ ( member @ X_b ) @ X_2 ) @ B ) )
        & ( hBOOL @ ( hAPP @ ( fun @ X_b @ bool ) @ bool @ ( hAPP @ ( fun @ X_b @ bool ) @ ( fun @ ( fun @ X_b @ bool ) @ bool ) @ ( ord_less_eq @ ( fun @ X_b @ bool ) ) @ A_1 ) @ B ) ) ) ) ).

thf(zip_derived_cl54,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ( hBOOL @ ( hAPP @ ( fun @ X0 @ bool ) @ bool @ ( hAPP @ ( fun @ X0 @ bool ) @ ( fun @ ( fun @ X0 @ bool ) @ bool ) @ ( ord_less_eq @ ( fun @ X0 @ bool ) ) @ ( hAPP @ ( fun @ X0 @ bool ) @ ( fun @ X0 @ bool ) @ ( hAPP @ X0 @ ( fun @ ( fun @ X0 @ bool ) @ ( fun @ X0 @ bool ) ) @ ( insert @ X0 ) @ X1 ) @ X2 ) ) @ X3 ) )
      | ~ ( hBOOL @ ( hAPP @ ( fun @ X0 @ bool ) @ bool @ ( hAPP @ ( fun @ X0 @ bool ) @ ( fun @ ( fun @ X0 @ bool ) @ bool ) @ ( ord_less_eq @ ( fun @ X0 @ bool ) ) @ X2 ) @ X3 ) )
      | ~ ( hBOOL @ ( hAPP @ ( fun @ X0 @ bool ) @ bool @ ( hAPP @ X0 @ ( fun @ ( fun @ X0 @ bool ) @ bool ) @ ( member @ X0 ) @ X1 ) @ X3 ) ) ),
    inference(cnf,[status(esa)],[fact_84_insert__subset]) ).

thf(conj_6,conjecture,
    hBOOL @ ( hAPP @ ( fun @ x_a @ bool ) @ bool @ ( hAPP @ ( fun @ x_a @ bool ) @ ( fun @ ( fun @ x_a @ bool ) @ bool ) @ ( ord_less_eq @ ( fun @ x_a @ bool ) ) @ ( hAPP @ ( fun @ x_a @ bool ) @ ( fun @ x_a @ bool ) @ ( hAPP @ x_a @ ( fun @ ( fun @ x_a @ bool ) @ ( fun @ x_a @ bool ) ) @ ( insert @ x_a ) @ ( hAPP @ pname @ x_a @ mgt_call @ pn ) ) @ g ) ) @ ( hAPP @ ( fun @ pname @ bool ) @ ( fun @ x_a @ bool ) @ ( hAPP @ ( fun @ pname @ x_a ) @ ( fun @ ( fun @ pname @ bool ) @ ( fun @ x_a @ bool ) ) @ ( image @ pname @ x_a ) @ mgt_call ) @ u ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( hBOOL @ ( hAPP @ ( fun @ x_a @ bool ) @ bool @ ( hAPP @ ( fun @ x_a @ bool ) @ ( fun @ ( fun @ x_a @ bool ) @ bool ) @ ( ord_less_eq @ ( fun @ x_a @ bool ) ) @ ( hAPP @ ( fun @ x_a @ bool ) @ ( fun @ x_a @ bool ) @ ( hAPP @ x_a @ ( fun @ ( fun @ x_a @ bool ) @ ( fun @ x_a @ bool ) ) @ ( insert @ x_a ) @ ( hAPP @ pname @ x_a @ mgt_call @ pn ) ) @ g ) ) @ ( hAPP @ ( fun @ pname @ bool ) @ ( fun @ x_a @ bool ) @ ( hAPP @ ( fun @ pname @ x_a ) @ ( fun @ ( fun @ pname @ bool ) @ ( fun @ x_a @ bool ) ) @ ( image @ pname @ x_a ) @ mgt_call ) @ u ) ) ),
    inference('cnf.neg',[status(esa)],[conj_6]) ).

thf(zip_derived_cl74,plain,
    ~ ( hBOOL @ ( hAPP @ ( fun @ x_a @ bool ) @ bool @ ( hAPP @ ( fun @ x_a @ bool ) @ ( fun @ ( fun @ x_a @ bool ) @ bool ) @ ( ord_less_eq @ ( fun @ x_a @ bool ) ) @ ( hAPP @ ( fun @ x_a @ bool ) @ ( fun @ x_a @ bool ) @ ( hAPP @ x_a @ ( fun @ ( fun @ x_a @ bool ) @ ( fun @ x_a @ bool ) ) @ ( insert @ x_a ) @ ( hAPP @ pname @ x_a @ mgt_call @ pn ) ) @ g ) ) @ ( hAPP @ ( fun @ pname @ bool ) @ ( fun @ x_a @ bool ) @ ( hAPP @ ( fun @ pname @ x_a ) @ ( fun @ ( fun @ pname @ bool ) @ ( fun @ x_a @ bool ) ) @ ( image @ pname @ x_a ) @ mgt_call ) @ u ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl776,plain,
    ( ~ ( hBOOL @ ( hAPP @ ( fun @ x_a @ bool ) @ bool @ ( hAPP @ x_a @ ( fun @ ( fun @ x_a @ bool ) @ bool ) @ ( member @ x_a ) @ ( hAPP @ pname @ x_a @ mgt_call @ pn ) ) @ ( hAPP @ ( fun @ pname @ bool ) @ ( fun @ x_a @ bool ) @ ( hAPP @ ( fun @ pname @ x_a ) @ ( fun @ ( fun @ pname @ bool ) @ ( fun @ x_a @ bool ) ) @ ( image @ pname @ x_a ) @ mgt_call ) @ u ) ) )
    | ~ ( hBOOL @ ( hAPP @ ( fun @ x_a @ bool ) @ bool @ ( hAPP @ ( fun @ x_a @ bool ) @ ( fun @ ( fun @ x_a @ bool ) @ bool ) @ ( ord_less_eq @ ( fun @ x_a @ bool ) ) @ g ) @ ( hAPP @ ( fun @ pname @ bool ) @ ( fun @ x_a @ bool ) @ ( hAPP @ ( fun @ pname @ x_a ) @ ( fun @ ( fun @ pname @ bool ) @ ( fun @ x_a @ bool ) ) @ ( image @ pname @ x_a ) @ mgt_call ) @ u ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl54,zip_derived_cl74]) ).

thf(conj_1,axiom,
    hBOOL @ ( hAPP @ ( fun @ x_a @ bool ) @ bool @ ( hAPP @ ( fun @ x_a @ bool ) @ ( fun @ ( fun @ x_a @ bool ) @ bool ) @ ( ord_less_eq @ ( fun @ x_a @ bool ) ) @ g ) @ ( hAPP @ ( fun @ pname @ bool ) @ ( fun @ x_a @ bool ) @ ( hAPP @ ( fun @ pname @ x_a ) @ ( fun @ ( fun @ pname @ bool ) @ ( fun @ x_a @ bool ) ) @ ( image @ pname @ x_a ) @ mgt_call ) @ u ) ) ).

thf(zip_derived_cl70,plain,
    hBOOL @ ( hAPP @ ( fun @ x_a @ bool ) @ bool @ ( hAPP @ ( fun @ x_a @ bool ) @ ( fun @ ( fun @ x_a @ bool ) @ bool ) @ ( ord_less_eq @ ( fun @ x_a @ bool ) ) @ g ) @ ( hAPP @ ( fun @ pname @ bool ) @ ( fun @ x_a @ bool ) @ ( hAPP @ ( fun @ pname @ x_a ) @ ( fun @ ( fun @ pname @ bool ) @ ( fun @ x_a @ bool ) ) @ ( image @ pname @ x_a ) @ mgt_call ) @ u ) ),
    inference(cnf,[status(esa)],[conj_1]) ).

thf(zip_derived_cl797,plain,
    ~ ( hBOOL @ ( hAPP @ ( fun @ x_a @ bool ) @ bool @ ( hAPP @ x_a @ ( fun @ ( fun @ x_a @ bool ) @ bool ) @ ( member @ x_a ) @ ( hAPP @ pname @ x_a @ mgt_call @ pn ) ) @ ( hAPP @ ( fun @ pname @ bool ) @ ( fun @ x_a @ bool ) @ ( hAPP @ ( fun @ pname @ x_a ) @ ( fun @ ( fun @ pname @ bool ) @ ( fun @ x_a @ bool ) ) @ ( image @ pname @ x_a ) @ mgt_call ) @ u ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl776,zip_derived_cl70]) ).

thf(zip_derived_cl798,plain,
    ~ ( hBOOL @ ( hAPP @ ( fun @ pname @ bool ) @ bool @ ( hAPP @ pname @ ( fun @ ( fun @ pname @ bool ) @ bool ) @ ( member @ pname ) @ pn ) @ u ) ),
    inference('sup-',[status(thm)],[zip_derived_cl49,zip_derived_cl797]) ).

thf(conj_4,axiom,
    hBOOL @ ( hAPP @ ( fun @ pname @ bool ) @ bool @ ( hAPP @ pname @ ( fun @ ( fun @ pname @ bool ) @ bool ) @ ( member @ pname ) @ pn ) @ u ) ).

thf(zip_derived_cl72,plain,
    hBOOL @ ( hAPP @ ( fun @ pname @ bool ) @ bool @ ( hAPP @ pname @ ( fun @ ( fun @ pname @ bool ) @ bool ) @ ( member @ pname ) @ pn ) @ u ),
    inference(cnf,[status(esa)],[conj_4]) ).

thf(zip_derived_cl799,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl798,zip_derived_cl72]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : SWW473+5 : TPTP v8.1.2. Released v5.3.0.
% 0.07/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.raSqCO035b true
% 0.15/0.36  % Computer : n002.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Sun Aug 27 20:42:34 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.15/0.36  % Running portfolio for 300 s
% 0.15/0.36  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36  % Number of cores: 8
% 0.15/0.36  % Python version: Python 3.6.8
% 0.15/0.36  % Running in FO mode
% 0.22/0.67  % Total configuration time : 435
% 0.22/0.68  % Estimated wc time : 1092
% 0.22/0.68  % Estimated cpu time (7 cpus) : 156.0
% 0.96/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.96/0.74  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.96/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.96/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.96/0.77  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.96/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.96/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.35/1.27  % Solved by fo/fo4.sh.
% 1.35/1.27  % done 151 iterations in 0.467s
% 1.35/1.27  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.35/1.27  % SZS output start Refutation
% See solution above
% 1.35/1.27  
% 1.35/1.27  
% 1.35/1.27  % Terminating...
% 1.83/1.40  % Runner terminated.
% 1.83/1.42  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------