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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP157^1 : TPTP v9.2.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.bJ9VQmOq0S true

% Computer : n025.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 04:39:00 PM UTC 2025

% Result   : Theorem 0.58s 0.85s
% Output   : Refutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    3
% Syntax   : Number of formulae    :    9 (   7 unt;   0 typ;   0 def)
%            Number of atoms       :   11 (   0 equ;   0 cnn)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   49 (   3   ~;   1   |;   0   &;  44   @)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   6 avg)
%            Number of types       :    5 (   4 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    9 (   8 usr;   5 con; 0-3 aty)
%            Number of variables   :    8 (   0   ^;   8   !;   0   ?;   8   :)

% Comments : 
%------------------------------------------------------------------------------
thf(product_prod_a_a_type,type,
    product_prod_a_a: $tType ).

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

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

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

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

thf(b_type,type,
    b: set_a ).

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

thf(z_type,type,
    z: a ).

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

thf(pr_type,type,
    pr: set_Product_prod_a_a ).

thf(prefer161218362good_a_type,type,
    prefer161218362good_a: a > set_a > set_Product_prod_a_a > set_a ).

thf(y_type,type,
    y: a ).

thf(conj_0,conjecture,
    member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ pr ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ pr ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl62,plain,
    ~ ( member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ pr ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_0_assms,axiom,
    member_a @ z @ ( prefer161218362good_a @ y @ b @ pr ) ).

thf(zip_derived_cl0,plain,
    member_a @ z @ ( prefer161218362good_a @ y @ b @ pr ),
    inference(cnf,[status(esa)],[fact_0_assms]) ).

thf(fact_8_at__lst__asgd__ge,axiom,
    ! [X: a,Y: a,B: set_a,Pr: set_Product_prod_a_a] :
      ( ( member_a @ X @ ( prefer161218362good_a @ Y @ B @ Pr ) )
     => ( member449909584od_a_a @ ( product_Pair_a_a @ X @ Y ) @ Pr ) ) ).

thf(zip_derived_cl1,plain,
    ! [X0: a,X1: a,X2: set_Product_prod_a_a,X3: set_a] :
      ( ( member449909584od_a_a @ ( product_Pair_a_a @ X0 @ X1 ) @ X2 )
      | ~ ( member_a @ X0 @ ( prefer161218362good_a @ X1 @ X3 @ X2 ) ) ),
    inference(cnf,[status(esa)],[fact_8_at__lst__asgd__ge]) ).

thf(zip_derived_cl132,plain,
    member449909584od_a_a @ ( product_Pair_a_a @ z @ y ) @ pr,
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl1]) ).

thf(zip_derived_cl146,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl62,zip_derived_cl132]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : ITP157^1 : TPTP v9.2.0. Released v7.5.0.
% 0.11/0.13  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.bJ9VQmOq0S true
% 0.12/0.34  % Computer : n025.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Oct  1 15:31:38 EDT 2025
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35  % Number of cores: 8
% 0.12/0.35  % Python version: Python 3.6.8
% 0.12/0.35  % Running in HO mode
% 0.55/0.68  % Total configuration time : 828
% 0.55/0.68  % Estimated wc time : 1656
% 0.55/0.68  % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.73  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.73  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.74  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.57/0.76  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.57/0.76  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.57/0.77  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.58/0.81  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.58/0.81  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 0.58/0.85  % Solved by lams/40_c.s.sh.
% 0.58/0.85  % done 13 iterations in 0.083s
% 0.58/0.85  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.58/0.85  % SZS output start Refutation
% See solution above
% 0.58/0.85  
% 0.58/0.85  
% 0.58/0.85  % Terminating...
% 1.70/0.89  % Runner terminated.
% 1.70/0.89  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------