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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP153^1 : 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.81C5gbAWzt true

% Computer : n013.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 04:38:59 PM UTC 2025

% Result   : Theorem 1.30s 0.85s
% Output   : Refutation 1.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   13 (   6 unt;   0 typ;   0 def)
%            Number of atoms       :   20 (   0 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   65 (   6   ~;   3   |;   3   &;  52   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   5 avg)
%            Number of types       :    5 (   4 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    8 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :    6 (   0   ^;   6   !;   0   ?;   6   :)

% Comments : 
%------------------------------------------------------------------------------
thf(a_type,type,
    a: $tType ).

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

thf(product_prod_a_a_type,type,
    product_prod_a_a: $tType ).

thf(set_Product_prod_a_a_type,type,
    set_Product_prod_a_a: $tType ).

thf(product_Pair_a_a_type,type,
    product_Pair_a_a: a > a > product_prod_a_a ).

thf(relation_type,type,
    relation: set_Product_prod_a_a ).

thf(member449909584od_a_a_type,type,
    member449909584od_a_a: product_prod_a_a > set_Product_prod_a_a > $o ).

thf(y_type,type,
    y: a ).

thf(member_a_type,type,
    member_a: a > set_a > $o ).

thf(carrier_type,type,
    carrier: set_a ).

thf(z_type,type,
    z: a ).

thf(conj_0,conjecture,
    ( ( member_a @ z @ carrier )
    & ( member_a @ y @ carrier ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( ( member_a @ z @ carrier )
      & ( member_a @ y @ carrier ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl15,plain,
    ( ~ ( member_a @ z @ carrier )
    | ~ ( member_a @ y @ carrier ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_0_assms,axiom,
    ( ( member449909584od_a_a @ ( product_Pair_a_a @ y @ z ) @ relation )
    & ( member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ relation ) ) ).

thf(zip_derived_cl1,plain,
    member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ relation,
    inference(cnf,[status(esa)],[fact_0_assms]) ).

thf(fact_8_not__outside,axiom,
    ! [X2: a,Y: a] :
      ( ( member449909584od_a_a @ ( product_Pair_a_a @ X2 @ Y ) @ relation )
     => ( member_a @ X2 @ carrier ) ) ).

thf(zip_derived_cl5,plain,
    ! [X0: a,X1: a] :
      ( ( member_a @ X0 @ carrier )
      | ~ ( member449909584od_a_a @ ( product_Pair_a_a @ X0 @ X1 ) @ relation ) ),
    inference(cnf,[status(esa)],[fact_8_not__outside]) ).

thf(zip_derived_cl16,plain,
    member_a @ z @ carrier,
    inference('sup-',[status(thm)],[zip_derived_cl1,zip_derived_cl5]) ).

thf(zip_derived_cl20,plain,
    ~ ( member_a @ y @ carrier ),
    inference(demod,[status(thm)],[zip_derived_cl15,zip_derived_cl16]) ).

thf(zip_derived_cl0,plain,
    member449909584od_a_a @ ( product_Pair_a_a @ y @ z ) @ relation,
    inference(cnf,[status(esa)],[fact_0_assms]) ).

thf(zip_derived_cl5_001,plain,
    ! [X0: a,X1: a] :
      ( ( member_a @ X0 @ carrier )
      | ~ ( member449909584od_a_a @ ( product_Pair_a_a @ X0 @ X1 ) @ relation ) ),
    inference(cnf,[status(esa)],[fact_8_not__outside]) ).

thf(zip_derived_cl17,plain,
    member_a @ y @ carrier,
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl5]) ).

thf(zip_derived_cl21,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl20,zip_derived_cl17]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10  % Problem  : ITP153^1 : TPTP v9.2.0. Released v7.5.0.
% 0.09/0.11  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.81C5gbAWzt true
% 0.10/0.31  % Computer : n013.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit : 300
% 0.10/0.31  % WCLimit  : 300
% 0.10/0.31  % DateTime : Wed Oct  1 15:36:08 EDT 2025
% 0.10/0.32  % CPUTime  : 
% 0.10/0.32  % Running portfolio for 300 s
% 0.10/0.32  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.32  % Number of cores: 8
% 0.16/0.32  % Python version: Python 3.6.8
% 0.16/0.32  % Running in HO mode
% 0.60/0.62  % Total configuration time : 828
% 0.60/0.62  % Estimated wc time : 1656
% 0.60/0.62  % Estimated cpu time (8 cpus) : 207.0
% 0.73/0.71  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 1.14/0.73  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 1.14/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 1.14/0.74  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 1.14/0.77  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 1.14/0.77  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 1.14/0.77  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 1.30/0.79  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 1.30/0.85  % Solved by lams/40_c_ic.sh.
% 1.30/0.85  % done 9 iterations in 0.039s
% 1.30/0.85  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.30/0.85  % SZS output start Refutation
% See solution above
% 1.30/0.85  
% 1.30/0.85  
% 1.30/0.85  % Terminating...
% 1.92/0.96  % Runner terminated.
% 1.92/0.98  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------