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Zipperpin---2.1.9999.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : ITP084^1 : 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.78BwPZnfiS 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 04:38:47 PM UTC 2025

% Result   : Theorem 0.57s 1.02s
% Output   : Refutation 0.57s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   17 (  14 unt;   0 typ;   0 def)
%            Number of atoms       :   33 (  10 equ;   0 cnn)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   97 (   2   ~;   0   |;   0   &;  91   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Number of types       :    6 (   5 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (   9 usr;   5 con; 0-2 aty)
%                                         (   4  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :   16 (   4   ^;  12   !;   0   ?;  16   :)

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

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

thf(secrecy_Keys_type,type,
    secrecy_Keys: $tType ).

thf(list_S529945141ession_type,type,
    list_S529945141ession: $tType ).

thf(secrecy_Expression_type,type,
    secrecy_Expression: $tType ).

thf(cons_S112077679ession_type,type,
    cons_S112077679ession: secrecy_Expression > list_S529945141ession > list_S529945141ession ).

thf(m_type,type,
    m: secrecy_Keys ).

thf(knowle945212990e_know_type,type,
    knowle945212990e_know: secrecy_specID > secrecy_KS > $o ).

thf(a_type,type,
    a: secrecy_specID ).

thf(secrecy_kE_type,type,
    secrecy_kE: secrecy_Keys > secrecy_Expression ).

thf(knowle731562421_knows_type,type,
    knowle731562421_knows: secrecy_specID > list_S529945141ession > $o ).

thf(secrec1016742679ession_type,type,
    secrec1016742679ession: secrecy_KS > secrecy_Expression ).

thf(secrecy_kKS_type,type,
    secrecy_kKS: secrecy_Keys > secrecy_KS ).

thf(nil_Se901661471ession_type,type,
    nil_Se901661471ession: list_S529945141ession ).

thf(conj_0,conjecture,
    knowle945212990e_know @ a @ ( secrecy_kKS @ m ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ( knowle945212990e_know @ a @ ( secrecy_kKS @ m ) ),
    inference('cnf.neg',[status(esa)],[conj_0]) ).

thf(zip_derived_cl351,plain,
    ~ ( knowle945212990e_know @ a @ ( secrecy_kKS @ m ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(fact_7_know1k,axiom,
    ! [C: secrecy_specID,M1: secrecy_Keys] :
      ( ( knowle731562421_knows @ C @ ( cons_S112077679ession @ ( secrec1016742679ession @ ( secrecy_kKS @ M1 ) ) @ nil_Se901661471ession ) )
      = ( knowle945212990e_know @ C @ ( secrecy_kKS @ M1 ) ) ) ).

thf(zip_derived_cl7,plain,
    ( !!
    @ ^ [Y0: secrecy_specID] :
        ( !!
        @ ^ [Y1: secrecy_Keys] :
            ( ( knowle731562421_knows @ Y0 @ ( cons_S112077679ession @ ( secrec1016742679ession @ ( secrecy_kKS @ Y1 ) ) @ nil_Se901661471ession ) )
            = ( knowle945212990e_know @ Y0 @ ( secrecy_kKS @ Y1 ) ) ) ) ),
    inference(cnf,[status(esa)],[fact_7_know1k]) ).

thf(zip_derived_cl575,plain,
    ! [X2: secrecy_specID] :
      ( !!
      @ ^ [Y0: secrecy_Keys] :
          ( ( knowle731562421_knows @ X2 @ ( cons_S112077679ession @ ( secrec1016742679ession @ ( secrecy_kKS @ Y0 ) ) @ nil_Se901661471ession ) )
          = ( knowle945212990e_know @ X2 @ ( secrecy_kKS @ Y0 ) ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl7]) ).

thf(zip_derived_cl576,plain,
    ! [X2: secrecy_specID,X4: secrecy_Keys] :
      ( ( knowle731562421_knows @ X2 @ ( cons_S112077679ession @ ( secrec1016742679ession @ ( secrecy_kKS @ X4 ) ) @ nil_Se901661471ession ) )
      = ( knowle945212990e_know @ X2 @ ( secrecy_kKS @ X4 ) ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl575]) ).

thf(zip_derived_cl577,plain,
    ! [X2: secrecy_specID,X4: secrecy_Keys] :
      ( ( knowle731562421_knows @ X2 @ ( cons_S112077679ession @ ( secrec1016742679ession @ ( secrecy_kKS @ X4 ) ) @ nil_Se901661471ession ) )
      = ( knowle945212990e_know @ X2 @ ( secrecy_kKS @ X4 ) ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl576]) ).

thf(fact_13_KS2Expression_Osimps_I1_J,axiom,
    ! [M: secrecy_Keys] :
      ( ( secrec1016742679ession @ ( secrecy_kKS @ M ) )
      = ( secrecy_kE @ M ) ) ).

thf(zip_derived_cl13,plain,
    ( !!
    @ ^ [Y0: secrecy_Keys] :
        ( ( secrec1016742679ession @ ( secrecy_kKS @ Y0 ) )
        = ( secrecy_kE @ Y0 ) ) ),
    inference(cnf,[status(esa)],[fact_13_KS2Expression_Osimps_I1_J]) ).

thf(zip_derived_cl529,plain,
    ! [X2: secrecy_Keys] :
      ( ( secrec1016742679ession @ ( secrecy_kKS @ X2 ) )
      = ( secrecy_kE @ X2 ) ),
    inference(lazy_cnf_forall,[status(thm)],[zip_derived_cl13]) ).

thf(zip_derived_cl530,plain,
    ! [X2: secrecy_Keys] :
      ( ( secrec1016742679ession @ ( secrecy_kKS @ X2 ) )
      = ( secrecy_kE @ X2 ) ),
    inference('simplify nested equalities',[status(thm)],[zip_derived_cl529]) ).

thf(zip_derived_cl578,plain,
    ! [X2: secrecy_specID,X4: secrecy_Keys] :
      ( ( knowle731562421_knows @ X2 @ ( cons_S112077679ession @ ( secrecy_kE @ X4 ) @ nil_Se901661471ession ) )
      = ( knowle945212990e_know @ X2 @ ( secrecy_kKS @ X4 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl577,zip_derived_cl530]) ).

thf(fact_0_assms,axiom,
    knowle731562421_knows @ a @ ( cons_S112077679ession @ ( secrecy_kE @ m ) @ nil_Se901661471ession ) ).

thf(zip_derived_cl0,plain,
    knowle731562421_knows @ a @ ( cons_S112077679ession @ ( secrecy_kE @ m ) @ nil_Se901661471ession ),
    inference(cnf,[status(esa)],[fact_0_assms]) ).

thf(zip_derived_cl579,plain,
    knowle945212990e_know @ a @ ( secrecy_kKS @ m ),
    inference('sup+',[status(thm)],[zip_derived_cl578,zip_derived_cl0]) ).

thf(zip_derived_cl585,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl351,zip_derived_cl579]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.15  % Problem  : ITP084^1 : TPTP v9.2.0. Released v7.5.0.
% 0.12/0.16  % Command  : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.78BwPZnfiS true
% 0.12/0.37  % Computer : n002.cluster.edu
% 0.12/0.37  % Model    : x86_64 x86_64
% 0.12/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37  % Memory   : 8042.1875MB
% 0.12/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.37  % CPULimit : 300
% 0.12/0.37  % WCLimit  : 300
% 0.12/0.37  % DateTime : Wed Oct  1 15:30:38 EDT 2025
% 0.12/0.38  % CPUTime  : 
% 0.12/0.38  % Running portfolio for 300 s
% 0.12/0.38  % File         : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.38  % Number of cores: 8
% 0.20/0.38  % Python version: Python 3.6.8
% 0.20/0.38  % Running in HO mode
% 0.53/0.71  % Total configuration time : 828
% 0.53/0.71  % Estimated wc time : 1656
% 0.53/0.71  % Estimated cpu time (8 cpus) : 207.0
% 0.54/0.76  % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.54/0.77  % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.54/0.77  % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.54/0.77  % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.54/0.77  % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.54/0.78  % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.54/0.78  % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.54/0.79  % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.57/0.83  % /export/starexec/sandbox/solver/bin/lams/30_b.l.sh running for 90s
% 0.57/0.86  % /export/starexec/sandbox/solver/bin/lams/35_full_unif.sh running for 56s
% 0.57/1.02  % Solved by lams/35_full_unif4.sh.
% 0.57/1.02  % done 104 iterations in 0.233s
% 0.57/1.02  % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.57/1.02  % SZS output start Refutation
% See solution above
% 0.57/1.02  
% 0.57/1.02  
% 0.57/1.02  % Terminating...
% 3.50/1.11  % Runner terminated.
% 3.50/1.12  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------