TSTP Solution File: ITP160^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP160^1 : TPTP v8.1.2. Released v7.5.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.6D4P0XeyCY 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 : Thu Aug 31 05:22:34 EDT 2023

% Result   : Theorem 1.50s 0.89s
% Output   : Refutation 1.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   35
% Syntax   : Number of formulae    :   41 (   6 unt;  33 typ;   0 def)
%            Number of atoms       :   11 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  162 (   2   ~;   0   |;   0   &; 157   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (  11 avg)
%            Number of types       :   15 (  14 usr)
%            Number of type conns  :   54 (  54   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   21 (  19 usr;   4 con; 0-3 aty)
%                                         (   3  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :    8 (   3   ^;   5   !;   0   ?;   8   :)

% Comments : 
%------------------------------------------------------------------------------
thf(produc2043357418nres_d_type,type,
    produc2043357418nres_d: $tType ).

thf(set_Pr24800800nres_d_type,type,
    set_Pr24800800nres_d: $tType ).

thf(set_Pr1128439124nres_c_type,type,
    set_Pr1128439124nres_c: $tType ).

thf(set_Product_prod_a_c_type,type,
    set_Product_prod_a_c: $tType ).

thf(set_Pr797615136nres_d_type,type,
    set_Pr797615136nres_d: $tType ).

thf(set_Pr589481214nres_d_type,type,
    set_Pr589481214nres_d: $tType ).

thf(set_Pr1640496404nres_d_type,type,
    set_Pr1640496404nres_d: $tType ).

thf(set_Product_prod_b_d_type,type,
    set_Product_prod_b_d: $tType ).

thf(refine737062560el_a_c_type,type,
    refine737062560el_a_c: set_Product_prod_a_c > set_Pr1128439124nres_c ).

thf(relAPP1396672239nres_d_type,type,
    relAPP1396672239nres_d: ( set_Pr1128439124nres_c > set_Pr797615136nres_d > set_Pr24800800nres_d ) > set_Pr1128439124nres_c > set_Pr797615136nres_d > set_Pr24800800nres_d ).

thf(member65788417nres_d_type,type,
    member65788417nres_d: produc2043357418nres_d > set_Pr24800800nres_d > $o ).

thf(fun_re1760530651nres_d_type,type,
    fun_re1760530651nres_d: set_Product_prod_a_c > set_Pr1640496404nres_d > set_Pr589481214nres_d ).

thf(refine449204144nres_d_type,type,
    refine449204144nres_d: $tType ).

thf(c_type,type,
    c: $tType ).

thf(refine2092371655nd_c_d_type,type,
    refine2092371655nd_c_d: refine440942639nres_c > ( c > refine449204144nres_d ) > refine449204144nres_d ).

thf(refine440942639nres_c_type,type,
    refine440942639nres_c: $tType ).

thf(refine432681134nres_b_type,type,
    refine432681134nres_b: $tType ).

thf(refine1564831968el_b_d_type,type,
    refine1564831968el_b_d: set_Product_prod_b_d > set_Pr1640496404nres_d ).

thf(fun_re439246495nres_d_type,type,
    fun_re439246495nres_d: set_Pr1128439124nres_c > set_Pr797615136nres_d > set_Pr24800800nres_d ).

thf(relAPP1270454529nres_d_type,type,
    relAPP1270454529nres_d: ( set_Product_prod_a_c > set_Pr1640496404nres_d > set_Pr589481214nres_d ) > set_Product_prod_a_c > set_Pr1640496404nres_d > set_Pr589481214nres_d ).

thf(produc1576596708nres_d_type,type,
    produc1576596708nres_d: ( refine424419629nres_a > ( a > refine432681134nres_b ) > refine432681134nres_b ) > ( refine440942639nres_c > ( c > refine449204144nres_d ) > refine449204144nres_d ) > produc2043357418nres_d ).

thf(refine436832839nd_a_b_type,type,
    refine436832839nd_a_b: refine424419629nres_a > ( a > refine432681134nres_b ) > refine432681134nres_b ).

thf(relAPP813854073nres_d_type,type,
    relAPP813854073nres_d: ( set_Pr1640496404nres_d > set_Pr797615136nres_d ) > set_Pr1640496404nres_d > set_Pr797615136nres_d ).

thf(refine424419629nres_a_type,type,
    refine424419629nres_a: $tType ).

thf(r2_type,type,
    r2: set_Product_prod_b_d ).

thf(a_type,type,
    a: $tType ).

thf(r1_type,type,
    r1: set_Product_prod_a_c ).

thf(relAPP1313094511nres_d_type,type,
    relAPP1313094511nres_d: ( set_Product_prod_b_d > set_Pr1640496404nres_d ) > set_Product_prod_b_d > set_Pr1640496404nres_d ).

thf(relAPP511982311nres_d_type,type,
    relAPP511982311nres_d: ( set_Pr797615136nres_d > set_Pr24800800nres_d ) > set_Pr797615136nres_d > set_Pr24800800nres_d ).

thf(relAPP527276399nres_c_type,type,
    relAPP527276399nres_c: ( set_Product_prod_a_c > set_Pr1128439124nres_c ) > set_Product_prod_a_c > set_Pr1128439124nres_c ).

thf(relAPP900772393nres_d_type,type,
    relAPP900772393nres_d: ( set_Pr1640496404nres_d > set_Pr589481214nres_d ) > set_Pr1640496404nres_d > set_Pr589481214nres_d ).

thf(relAPP98076839nres_d_type,type,
    relAPP98076839nres_d: ( set_Pr589481214nres_d > set_Pr1640496404nres_d > set_Pr797615136nres_d ) > set_Pr589481214nres_d > set_Pr1640496404nres_d > set_Pr797615136nres_d ).

thf(fun_re1394577105nres_d_type,type,
    fun_re1394577105nres_d: set_Pr589481214nres_d > set_Pr1640496404nres_d > set_Pr797615136nres_d ).

thf(conj_0,conjecture,
    member65788417nres_d @ ( produc1576596708nres_d @ refine436832839nd_a_b @ refine2092371655nd_c_d ) @ ( relAPP511982311nres_d @ ( relAPP1396672239nres_d @ fun_re439246495nres_d @ ( relAPP527276399nres_c @ refine737062560el_a_c @ r1 ) ) @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ r1 ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ r2 ) ) ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ r2 ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( member65788417nres_d @ ( produc1576596708nres_d @ refine436832839nd_a_b @ refine2092371655nd_c_d ) @ ( relAPP511982311nres_d @ ( relAPP1396672239nres_d @ fun_re439246495nres_d @ ( relAPP527276399nres_c @ refine737062560el_a_c @ r1 ) ) @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ r1 ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ r2 ) ) ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ r2 ) ) ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl43,plain,
    ~ ( member65788417nres_d @ ( produc1576596708nres_d @ refine436832839nd_a_b @ refine2092371655nd_c_d ) @ ( relAPP511982311nres_d @ ( relAPP1396672239nres_d @ fun_re439246495nres_d @ ( relAPP527276399nres_c @ refine737062560el_a_c @ r1 ) ) @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ r1 ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ r2 ) ) ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ r2 ) ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_4_param__bind,axiom,
    ! [Ra: set_Product_prod_a_c,Rb: set_Product_prod_b_d] : ( member65788417nres_d @ ( produc1576596708nres_d @ refine436832839nd_a_b @ refine2092371655nd_c_d ) @ ( relAPP511982311nres_d @ ( relAPP1396672239nres_d @ fun_re439246495nres_d @ ( relAPP527276399nres_c @ refine737062560el_a_c @ Ra ) ) @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ Ra ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ Rb ) ) ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ Rb ) ) ) ) ).

thf(zip_derived_cl0,plain,
    ( !!
    @ ^ [Y0: set_Product_prod_a_c] :
        ( !!
        @ ^ [Y1: set_Product_prod_b_d] : ( member65788417nres_d @ ( produc1576596708nres_d @ refine436832839nd_a_b @ refine2092371655nd_c_d ) @ ( relAPP511982311nres_d @ ( relAPP1396672239nres_d @ fun_re439246495nres_d @ ( relAPP527276399nres_c @ refine737062560el_a_c @ Y0 ) ) @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ Y0 ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ Y1 ) ) ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ Y1 ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_4_param__bind]) ).

thf(zip_derived_cl54,plain,
    ! [X2: set_Product_prod_a_c] :
      ( !!
      @ ^ [Y0: set_Product_prod_b_d] : ( member65788417nres_d @ ( produc1576596708nres_d @ refine436832839nd_a_b @ refine2092371655nd_c_d ) @ ( relAPP511982311nres_d @ ( relAPP1396672239nres_d @ fun_re439246495nres_d @ ( relAPP527276399nres_c @ refine737062560el_a_c @ X2 ) ) @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ X2 ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ Y0 ) ) ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ Y0 ) ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl0]) ).

thf(zip_derived_cl55,plain,
    ! [X2: set_Product_prod_a_c,X4: set_Product_prod_b_d] : ( member65788417nres_d @ ( produc1576596708nres_d @ refine436832839nd_a_b @ refine2092371655nd_c_d ) @ ( relAPP511982311nres_d @ ( relAPP1396672239nres_d @ fun_re439246495nres_d @ ( relAPP527276399nres_c @ refine737062560el_a_c @ X2 ) ) @ ( relAPP813854073nres_d @ ( relAPP98076839nres_d @ fun_re1394577105nres_d @ ( relAPP900772393nres_d @ ( relAPP1270454529nres_d @ fun_re1760530651nres_d @ X2 ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ X4 ) ) ) @ ( relAPP1313094511nres_d @ refine1564831968el_b_d @ X4 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl54]) ).

thf(zip_derived_cl56,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl43,zip_derived_cl55]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem  : ITP160^1 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.15  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.6D4P0XeyCY 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 10:42:19 EDT 2023
% 0.15/0.37  % CPUTime  : 
% 0.15/0.37  % Running portfolio for 300 s
% 0.15/0.37  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.37  % Number of cores: 8
% 0.15/0.37  % Python version: Python 3.6.8
% 0.15/0.37  % Running in HO mode
% 0.23/0.68  % Total configuration time : 828
% 0.23/0.68  % Estimated wc time : 1656
% 0.23/0.68  % Estimated cpu time (8 cpus) : 207.0
% 1.45/0.78  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.45/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 1.45/0.78  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.45/0.79  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.45/0.79  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.45/0.79  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.45/0.79  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.50/0.80  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.50/0.87  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 1.50/0.89  % Solved by lams/30_sp5.sh.
% 1.50/0.89  % done 0 iterations in 0.073s
% 1.50/0.89  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.50/0.89  % SZS output start Refutation
% See solution above
% 1.50/0.89  
% 1.50/0.89  
% 1.50/0.89  % Terminating...
% 1.69/0.99  % Runner terminated.
% 1.86/1.00  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------