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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP087^1 : 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.PQjMTyMe80 true

% Computer : n006.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 04:38:47 PM UTC 2025

% Result   : Theorem 30.63s 4.50s
% Output   : Refutation 30.63s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   14 (  12 unt;   0 typ;   0 def)
%            Number of atoms       :   29 (   4 equ;   3 cnn)
%            Maximal formula atoms :   12 (   2 avg)
%            Number of connectives :   93 (  11   ~;   0   |;   0   &;  70   @)
%                                         (   0 <=>;   8  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   16 (   4 avg)
%            Number of types       :    5 (   4 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  10 usr;   8 con; 0-2 aty)
%                                         (   4  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :    8 (   4   ^;   4   !;   0   ?;   8   :)

% Comments : 
%------------------------------------------------------------------------------
thf(secrecy_specID_type,type,
    secrecy_specID: $tType ).

thf(secrecy_KS_type,type,
    secrecy_KS: $tType ).

thf(set_Secrecy_KS_type,type,
    set_Secrecy_KS: $tType ).

thf(set_Secrecy_specID_type,type,
    set_Secrecy_specID: $tType ).

thf(insert1671894227specID_type,type,
    insert1671894227specID: secrecy_specID > set_Secrecy_specID > set_Secrecy_specID ).

thf(q_type,type,
    q: secrecy_specID ).

thf(member_Secrecy_KS_type,type,
    member_Secrecy_KS: secrecy_KS > set_Secrecy_KS > $o ).

thf(p_type,type,
    p: secrecy_specID ).

thf(specKeysSecrets_type,type,
    specKeysSecrets: secrecy_specID > set_Secrecy_KS ).

thf(correctCompositionKS_type,type,
    correctCompositionKS: secrecy_specID > $o ).

thf(pq_type,type,
    pq: secrecy_specID ).

thf(m_type,type,
    m: secrecy_KS ).

thf(subcomponents_type,type,
    subcomponents: secrecy_specID > set_Secrecy_specID ).

thf(bot_bo1785112429specID_type,type,
    bot_bo1785112429specID: set_Secrecy_specID ).

thf(fact_0_cCompKS,axiom,
    correctCompositionKS @ pq ).

thf(zip_derived_cl0,plain,
    correctCompositionKS @ pq,
    inference(cnf,[status(esa)],[fact_0_cCompKS]) ).

thf(conj_0,conjecture,
    ~ ( member_Secrecy_KS @ m @ ( specKeysSecrets @ pq ) ) ).

thf(zf_stmt_0,negated_conjecture,
    member_Secrecy_KS @ m @ ( specKeysSecrets @ pq ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl355,plain,
    member_Secrecy_KS @ m @ ( specKeysSecrets @ pq ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_1_notKSQ,axiom,
    ~ ( member_Secrecy_KS @ m @ ( specKeysSecrets @ q ) ) ).

thf(zip_derived_cl1,plain,
    ~ ( member_Secrecy_KS @ m @ ( specKeysSecrets @ q ) ),
    inference(cnf,[status(esa)],[fact_1_notKSQ]) ).

thf(fact_2_notKSP,axiom,
    ~ ( member_Secrecy_KS @ m @ ( specKeysSecrets @ p ) ) ).

thf(zip_derived_cl2,plain,
    ~ ( member_Secrecy_KS @ m @ ( specKeysSecrets @ p ) ),
    inference(cnf,[status(esa)],[fact_2_notKSP]) ).

thf(fact_3_subPQ,axiom,
    ( ( subcomponents @ pq )
    = ( insert1671894227specID @ p @ ( insert1671894227specID @ q @ bot_bo1785112429specID ) ) ) ).

thf(zip_derived_cl3,plain,
    ( ( subcomponents @ pq )
    = ( insert1671894227specID @ p @ ( insert1671894227specID @ q @ bot_bo1785112429specID ) ) ),
    inference(cnf,[status(esa)],[fact_3_subPQ]) ).

thf(fact_8_correctCompositionKS__neg1,axiom,
    ! [PQ: secrecy_specID,P: secrecy_specID,Q: secrecy_specID,Ks: secrecy_KS] :
      ( ( ( subcomponents @ PQ )
        = ( insert1671894227specID @ P @ ( insert1671894227specID @ Q @ bot_bo1785112429specID ) ) )
     => ( ( correctCompositionKS @ PQ )
       => ( ~ ( member_Secrecy_KS @ Ks @ ( specKeysSecrets @ P ) )
         => ( ~ ( member_Secrecy_KS @ Ks @ ( specKeysSecrets @ Q ) )
           => ~ ( member_Secrecy_KS @ Ks @ ( specKeysSecrets @ PQ ) ) ) ) ) ) ).

thf(zip_derived_cl8,plain,
    ( !!
    @ ^ [Y0: secrecy_specID] :
        ( !!
        @ ^ [Y1: secrecy_specID] :
            ( !!
            @ ^ [Y2: secrecy_specID] :
                ( !!
                @ ^ [Y3: secrecy_KS] :
                    ( ( ( subcomponents @ Y0 )
                      = ( insert1671894227specID @ Y1 @ ( insert1671894227specID @ Y2 @ bot_bo1785112429specID ) ) )
                   => ( ( correctCompositionKS @ Y0 )
                     => ( ( (~) @ ( member_Secrecy_KS @ Y3 @ ( specKeysSecrets @ Y1 ) ) )
                       => ( ( (~) @ ( member_Secrecy_KS @ Y3 @ ( specKeysSecrets @ Y2 ) ) )
                         => ( (~) @ ( member_Secrecy_KS @ Y3 @ ( specKeysSecrets @ Y0 ) ) ) ) ) ) ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_8_correctCompositionKS__neg1]) ).

thf(zip_derived_cl2321,plain,
    $false,
    inference(eprover,[status(thm)],[zip_derived_cl0,zip_derived_cl355,zip_derived_cl1,zip_derived_cl2,zip_derived_cl3,zip_derived_cl8]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : ITP087^1 : TPTP v9.2.0. Released v7.5.0.
% 0.13/0.14  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.PQjMTyMe80 true
% 0.14/0.35  % Computer : n006.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Wed Oct  1 15:30:53 EDT 2025
% 0.14/0.35  % CPUTime  : 
% 0.14/0.35  % Running portfolio for 300 s
% 0.14/0.35  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.35  % Number of cores: 8
% 0.14/0.35  % Python version: Python 3.6.8
% 0.21/0.36  % Running in HO mode
% 0.57/0.66  % Total configuration time : 828
% 0.57/0.66  % Estimated wc time : 1656
% 0.57/0.66  % Estimated cpu time (8 cpus) : 207.0
% 0.57/0.74  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.57/0.77  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.57/0.78  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.57/0.80  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.57/0.80  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.57/0.80  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.57/0.80  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.57/0.81  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.58/0.87  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 7.50/1.61  % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 30.63/4.50  % Solved by lams/15_e_short1.sh.
% 30.63/4.50  % done 230 iterations in 3.664s
% 30.63/4.50  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 30.63/4.50  % SZS output start Refutation
% See solution above
% 30.63/4.50  
% 30.63/4.50  
% 30.63/4.50  % Terminating...
% 30.63/4.60  % Runner terminated.
% 30.63/4.61  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------