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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP093^1 : TPTP v9.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ElUakCTwNn 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 Oct  2 04:38:48 PM UTC 2025

% Result   : Theorem 1.33s 0.84s
% Output   : Refutation 1.33s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   11 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :   16 (   0 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   55 (   5   ~;   3   |;   0   &;  45   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Number of types       :    5 (   4 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :    9 (   5   ^;   4   !;   0   ?;   9   :)

% Comments : 
%------------------------------------------------------------------------------
thf(set_Product_prod_a_a_type,type,
    set_Product_prod_a_a: $tType ).

thf(pair_p125712459t_unit_type,type,
    pair_p125712459t_unit: $tType ).

thf(set_a_type,type,
    set_a: $tType ).

thf(product_Sigma_a_a_type,type,
    product_Sigma_a_a: set_a > ( a > set_a ) > set_Product_prod_a_a ).

thf(g_type,type,
    g: pair_p125712459t_unit ).

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

thf(finite179568208od_a_a_type,type,
    finite179568208od_a_a: set_Product_prod_a_a > $o ).

thf(pair_p1047056820t_unit_type,type,
    pair_p1047056820t_unit: pair_p125712459t_unit > set_a ).

thf(pair_p133601421t_unit_type,type,
    pair_p133601421t_unit: pair_p125712459t_unit > set_Product_prod_a_a ).

thf(ord_le1824328871od_a_a_type,type,
    ord_le1824328871od_a_a: set_Product_prod_a_a > set_Product_prod_a_a > $o ).

thf(fact_1__092_060open_062parcs_AG_A_092_060subseteq_062_Apverts_AG_A_092_060times_062_Apverts_AG_092_060close_062,axiom,
    ( ord_le1824328871od_a_a @ ( pair_p133601421t_unit @ g )
    @ ( product_Sigma_a_a @ ( pair_p1047056820t_unit @ g )
      @ ^ [Uu: a] : ( pair_p1047056820t_unit @ g ) ) ) ).

thf(zip_derived_cl1,plain,
    ( ord_le1824328871od_a_a @ ( pair_p133601421t_unit @ g )
    @ ( product_Sigma_a_a @ ( pair_p1047056820t_unit @ g )
      @ ^ [Y0: a] : ( pair_p1047056820t_unit @ g ) ) ),
    inference(cnf,[status(esa)],[fact_1__092_060open_062parcs_AG_A_092_060subseteq_062_Apverts_AG_A_092_060times_062_Apverts_AG_092_060close_062]) ).

thf(fact_19_finite__subset,axiom,
    ! [A: set_Product_prod_a_a,B: set_Product_prod_a_a] :
      ( ( ord_le1824328871od_a_a @ A @ B )
     => ( ( finite179568208od_a_a @ B )
       => ( finite179568208od_a_a @ A ) ) ) ).

thf(zip_derived_cl2,plain,
    ! [X0: set_Product_prod_a_a,X1: set_Product_prod_a_a] :
      ( ( finite179568208od_a_a @ X0 )
      | ~ ( ord_le1824328871od_a_a @ X0 @ X1 )
      | ~ ( finite179568208od_a_a @ X1 ) ),
    inference(cnf,[status(esa)],[fact_19_finite__subset]) ).

thf(zip_derived_cl9,plain,
    ( ~ ( finite179568208od_a_a
        @ ( product_Sigma_a_a @ ( pair_p1047056820t_unit @ g )
          @ ^ [Y0: a] : ( pair_p1047056820t_unit @ g ) ) )
    | ( finite179568208od_a_a @ ( pair_p133601421t_unit @ g ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl2]) ).

thf(fact_0__092_060open_062finite_A_Ipverts_AG_A_092_060times_062_Apverts_AG_J_092_060close_062,axiom,
    ( finite179568208od_a_a
    @ ( product_Sigma_a_a @ ( pair_p1047056820t_unit @ g )
      @ ^ [Uu: a] : ( pair_p1047056820t_unit @ g ) ) ) ).

thf(zip_derived_cl0,plain,
    ( finite179568208od_a_a
    @ ( product_Sigma_a_a @ ( pair_p1047056820t_unit @ g )
      @ ^ [Y0: a] : ( pair_p1047056820t_unit @ g ) ) ),
    inference(cnf,[status(esa)],[fact_0__092_060open_062finite_A_Ipverts_AG_A_092_060times_062_Apverts_AG_J_092_060close_062]) ).

thf(conj_0,conjecture,
    finite179568208od_a_a @ ( pair_p133601421t_unit @ g ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( finite179568208od_a_a @ ( pair_p133601421t_unit @ g ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl8,plain,
    ~ ( finite179568208od_a_a @ ( pair_p133601421t_unit @ g ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl10,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl9,zip_derived_cl0,zip_derived_cl8]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem  : ITP093^1 : TPTP v9.2.0. Released v7.5.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.ElUakCTwNn true
% 0.14/0.36  % Computer : n002.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37  % CPULimit : 300
% 0.14/0.37  % WCLimit  : 300
% 0.14/0.37  % DateTime : Wed Oct  1 15:24:53 EDT 2025
% 0.14/0.37  % CPUTime  : 
% 0.14/0.37  % Running portfolio for 300 s
% 0.14/0.37  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.37  % Number of cores: 8
% 0.23/0.37  % Python version: Python 3.6.8
% 0.23/0.38  % Running in HO mode
% 0.71/0.71  % Total configuration time : 828
% 0.71/0.71  % Estimated wc time : 1656
% 0.71/0.71  % Estimated cpu time (8 cpus) : 207.0
% 1.03/0.79  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 1.03/0.79  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.03/0.79  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.03/0.81  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.03/0.82  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.33/0.82  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.33/0.83  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.33/0.83  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.33/0.84  % Solved by lams/40_c_ic.sh.
% 1.33/0.84  % done 5 iterations in 0.031s
% 1.33/0.84  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.33/0.84  % SZS output start Refutation
% See solution above
% 1.33/0.84  
% 1.33/0.84  
% 1.33/0.84  % Terminating...
% 1.38/0.93  % Runner terminated.
% 1.38/0.94  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------