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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP213^3 : TPTP v9.2.1. Bugfixed v9.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.PulC5rXUut true

% Computer : n018.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 : Sat Feb 28 09:48:05 AM UTC 2026

% Result   : Theorem 131.27s 18.41s
% Output   : Refutation 131.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   20 (  18 unt;   0 typ;   0 def)
%            Number of atoms       :   26 (  12 equ;   0 cnn)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :  151 (   5   ~;   3   |;   0   &; 140   @)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Number of types       :    6 (   5 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  15 usr;   9 con; 0-3 aty)
%            Number of variables   :   22 (   0   ^;  22   !;   0   ?;  22   :)

% Comments : 
%------------------------------------------------------------------------------
thf(assn_type,type,
    assn: $tType ).

thf(produc3658429121746597890et_nat_type,type,
    produc3658429121746597890et_nat: $tType ).

thf(heap_e7401611519738050253t_unit_type,type,
    heap_e7401611519738050253t_unit: $tType ).

thf(set_nat_type,type,
    set_nat: $tType ).

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

thf(r_type,type,
    r: assn ).

thf(as2_type,type,
    as2: set_nat ).

thf(h_type,type,
    h: heap_e7401611519738050253t_unit ).

thf(hoare_new_addrs_type,type,
    hoare_new_addrs: heap_e7401611519738050253t_unit > set_nat > heap_e7401611519738050253t_unit > set_nat ).

thf(inf_inf_set_nat_type,type,
    inf_inf_set_nat: set_nat > set_nat > set_nat ).

thf(as1_type,type,
    as1: set_nat ).

thf(produc7507926704131184380et_nat_type,type,
    produc7507926704131184380et_nat: heap_e7401611519738050253t_unit > set_nat > produc3658429121746597890et_nat ).

thf(times_times_assn_type,type,
    times_times_assn: assn > assn > assn ).

thf(bot_bot_set_nat_type,type,
    bot_bot_set_nat: set_nat ).

thf(q_type,type,
    q: a > assn ).

thf(as_type,type,
    as: set_nat ).

thf(r2_type,type,
    r2: a ).

thf(rep_assn_type,type,
    rep_assn: assn > produc3658429121746597890et_nat > $o ).

thf(h2_type,type,
    h2: heap_e7401611519738050253t_unit ).

thf(sup_sup_set_nat_type,type,
    sup_sup_set_nat: set_nat > set_nat > set_nat ).

thf(fact_1__092_060open_062_Ih_H_M_Aas2_J_A_092_060Turnstile_062_AR_092_060close_062,axiom,
    rep_assn @ r @ ( produc7507926704131184380et_nat @ h @ as2 ) ).

thf(zip_derived_cl1,plain,
    rep_assn @ r @ ( produc7507926704131184380et_nat @ h @ as2 ),
    inference(cnf,[status(esa)],[fact_1__092_060open_062_Ih_H_M_Aas2_J_A_092_060Turnstile_062_AR_092_060close_062]) ).

thf(fact_7_MDL,axiom,
    rep_assn @ ( q @ r2 ) @ ( produc7507926704131184380et_nat @ h @ ( hoare_new_addrs @ h2 @ as1 @ h ) ) ).

thf(zip_derived_cl7,plain,
    rep_assn @ ( q @ r2 ) @ ( produc7507926704131184380et_nat @ h @ ( hoare_new_addrs @ h2 @ as1 @ h ) ),
    inference(cnf,[status(esa)],[fact_7_MDL]) ).

thf(fact_3_DJN,axiom,
    ( ( inf_inf_set_nat @ ( hoare_new_addrs @ h2 @ as1 @ h ) @ as2 )
    = bot_bot_set_nat ) ).

thf(zip_derived_cl3,plain,
    ( ( inf_inf_set_nat @ ( hoare_new_addrs @ h2 @ as1 @ h ) @ as2 )
    = bot_bot_set_nat ),
    inference(cnf,[status(esa)],[fact_3_DJN]) ).

thf(fact_4__092_060open_062new__addrs_Ah_Aas_Ah_H_A_061_Anew__addrs_Ah_Aas1_Ah_H_A_092_060union_062_Aas2_092_060close_062,axiom,
    ( ( hoare_new_addrs @ h2 @ as @ h )
    = ( sup_sup_set_nat @ ( hoare_new_addrs @ h2 @ as1 @ h ) @ as2 ) ) ).

thf(zip_derived_cl4,plain,
    ( ( hoare_new_addrs @ h2 @ as @ h )
    = ( sup_sup_set_nat @ ( hoare_new_addrs @ h2 @ as1 @ h ) @ as2 ) ),
    inference(cnf,[status(esa)],[fact_4__092_060open_062new__addrs_Ah_Aas_Ah_H_A_061_Anew__addrs_Ah_Aas1_Ah_H_A_092_060union_062_Aas2_092_060close_062]) ).

thf(fact_2766_ab__semigroup__mult__class_Omult_Ocommute,axiom,
    ! [A5: assn,B5: assn] :
      ( ( times_times_assn @ A5 @ B5 )
      = ( times_times_assn @ B5 @ A5 ) ) ).

thf(zip_derived_cl2029,plain,
    ! [X0: assn,X1: assn] :
      ( ( times_times_assn @ X1 @ X0 )
      = ( times_times_assn @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[fact_2766_ab__semigroup__mult__class_Omult_Ocommute]) ).

thf(conj_0,conjecture,
    rep_assn @ ( times_times_assn @ ( q @ r2 ) @ r ) @ ( produc7507926704131184380et_nat @ h @ ( hoare_new_addrs @ h2 @ as @ h ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( rep_assn @ ( times_times_assn @ ( q @ r2 ) @ r ) @ ( produc7507926704131184380et_nat @ h @ ( hoare_new_addrs @ h2 @ as @ h ) ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl5681,plain,
    ~ ( rep_assn @ ( times_times_assn @ ( q @ r2 ) @ r ) @ ( produc7507926704131184380et_nat @ h @ ( hoare_new_addrs @ h2 @ as @ h ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_499_Int__commute,axiom,
    ! [A6: set_nat,B6: set_nat] :
      ( ( inf_inf_set_nat @ A6 @ B6 )
      = ( inf_inf_set_nat @ B6 @ A6 ) ) ).

thf(zip_derived_cl308,plain,
    ! [X0: set_nat,X1: set_nat] :
      ( ( inf_inf_set_nat @ X1 @ X0 )
      = ( inf_inf_set_nat @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[fact_499_Int__commute]) ).

thf(fact_531_Un__commute,axiom,
    ! [A6: set_nat,B6: set_nat] :
      ( ( sup_sup_set_nat @ A6 @ B6 )
      = ( sup_sup_set_nat @ B6 @ A6 ) ) ).

thf(zip_derived_cl325,plain,
    ! [X0: set_nat,X1: set_nat] :
      ( ( sup_sup_set_nat @ X1 @ X0 )
      = ( sup_sup_set_nat @ X0 @ X1 ) ),
    inference(cnf,[status(esa)],[fact_531_Un__commute]) ).

thf(fact_36_star__assnI,axiom,
    ! [P: assn,H: heap_e7401611519738050253t_unit,As: set_nat,Q: assn,As3: set_nat] :
      ( ( rep_assn @ P @ ( produc7507926704131184380et_nat @ H @ As ) )
     => ( ( rep_assn @ Q @ ( produc7507926704131184380et_nat @ H @ As3 ) )
       => ( ( ( inf_inf_set_nat @ As @ As3 )
            = bot_bot_set_nat )
         => ( rep_assn @ ( times_times_assn @ P @ Q ) @ ( produc7507926704131184380et_nat @ H @ ( sup_sup_set_nat @ As @ As3 ) ) ) ) ) ) ).

thf(zip_derived_cl61,plain,
    ! [X0: assn,X1: heap_e7401611519738050253t_unit,X2: set_nat,X3: set_nat,X4: assn] :
      ( ~ ( rep_assn @ X0 @ ( produc7507926704131184380et_nat @ X1 @ X2 ) )
      | ( ( inf_inf_set_nat @ X2 @ X3 )
       != bot_bot_set_nat )
      | ( rep_assn @ ( times_times_assn @ X0 @ X4 ) @ ( produc7507926704131184380et_nat @ X1 @ ( sup_sup_set_nat @ X2 @ X3 ) ) )
      | ~ ( rep_assn @ X4 @ ( produc7507926704131184380et_nat @ X1 @ X3 ) ) ),
    inference(cnf,[status(esa)],[fact_36_star__assnI]) ).

thf(zip_derived_cl19161,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl1,zip_derived_cl7,zip_derived_cl3,zip_derived_cl4,zip_derived_cl2029,zip_derived_cl5681,zip_derived_cl308,zip_derived_cl325,zip_derived_cl61]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ITP213^3 : TPTP v9.2.1. Bugfixed v9.2.1.
% 0.12/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.PulC5rXUut true
% 0.18/0.34  % Computer : n018.cluster.edu
% 0.18/0.34  % Model    : x86_64 x86_64
% 0.18/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34  % Memory   : 8042.1875MB
% 0.18/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34  % CPULimit : 300
% 0.18/0.34  % WCLimit  : 300
% 0.18/0.34  % DateTime : Thu Feb 26 03:50:31 EST 2026
% 0.18/0.34  % CPUTime  : 
% 0.18/0.34  % Running portfolio for 300 s
% 0.18/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.34  % Number of cores: 8
% 0.18/0.35  % Python version: Python 3.6.8
% 0.18/0.35  % Running in HO mode
% 0.55/0.64  % Total configuration time : 828
% 0.55/0.64  % Estimated wc time : 1656
% 0.55/0.64  % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.69  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.56/0.72  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.56/0.72  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.56/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.56/0.78  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.56/0.79  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 5.61/1.32  % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s
% 131.27/18.41  % Solved by lams/40_c.s.sh.
% 131.27/18.41  % done 1355 iterations in 17.655s
% 131.27/18.41  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 131.27/18.41  % SZS output start Refutation
% See solution above
% 131.27/18.41  
% 131.27/18.41  
% 131.27/18.41  % Terminating...
% 19.58/18.51  % Runner terminated.
% 19.58/18.51  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------