TSTP Solution File: SWV763_5 by Leo-III---1.7.7
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%------------------------------------------------------------------------------
% File : Leo-III---1.7.7
% Problem : SWV763_5 : TPTP v8.1.2. Released v6.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_Leo-III %s %d
% Computer : n003.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 : Fri May 19 12:18:22 EDT 2023
% Result : Theorem 7.61s 2.83s
% Output : Refutation 8.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 152
% Syntax : Number of formulae : 263 ( 80 unt; 43 typ; 0 def)
% Number of atoms : 583 ( 156 equ; 0 cnn)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 3670 ( 136 ~; 21 |; 41 &;3214 @)
% ( 15 <=>; 243 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 9 avg)
% Number of types : 6 ( 5 usr)
% Number of type conns : 28 ( 28 >; 0 *; 0 +; 0 <<)
% Number of symbols : 43 ( 40 usr; 23 con; 0-4 aty)
% Number of variables : 681 ( 0 ^; 669 !; 7 ?; 681 :)
% ( 5 !>; 0 ?*; 0 @-; 0 @+)
% Comments :
%------------------------------------------------------------------------------
thf(event_type,type,
event: $tType ).
thf(bool_type,type,
bool: $tType ).
thf(agent_type,type,
agent: $tType ).
thf(msg_type,type,
msg: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(bad_type,type,
bad: fun @ agent @ bool ).
thf(notes_type,type,
notes: agent > msg > event ).
thf(says_type,type,
says: agent > agent > msg > event ).
thf(knows_type,type,
knows: agent > ( list @ event ) > ( fun @ msg @ bool ) ).
thf(used_type,type,
used: ( list @ event ) > ( fun @ msg @ bool ) ).
thf(cons_type,type,
cons:
!>[TA: $tType] : ( TA > ( list @ TA ) > ( list @ TA ) ) ).
thf(set_type,type,
set:
!>[TA: $tType] : ( ( list @ TA ) > ( fun @ TA @ bool ) ) ).
thf(server_type,type,
server: agent ).
thf(spy_type,type,
spy: agent ).
thf(analz_type,type,
analz: ( fun @ msg @ bool ) > ( fun @ msg @ bool ) ).
thf(keysFor_type,type,
keysFor: ( fun @ msg @ bool ) > ( fun @ nat @ bool ) ).
thf(agent1_type,type,
agent1: agent > msg ).
thf(crypt_type,type,
crypt: nat > msg > msg ).
thf(key_type,type,
key: nat > msg ).
thf(mPair_type,type,
mPair: msg > msg > msg ).
thf(nonce_type,type,
nonce: nat > msg ).
thf(parts_type,type,
parts: ( fun @ msg @ bool ) > ( fun @ msg @ bool ) ).
thf(symKeys_type,type,
symKeys: fun @ nat @ bool ).
thf(nS_Sha254967238shared_type,type,
nS_Sha254967238shared: fun @ ( list @ event ) @ bool ).
thf(nS_Sha993195050haredp_type,type,
nS_Sha993195050haredp: ( list @ event ) > $o ).
thf(shrK_type,type,
shrK: agent > nat ).
thf(aa1_type,type,
aa1:
!>[TA: $tType,TB: $tType] : ( ( fun @ TB @ TA ) > TB > TA ) ).
thf(fFalse_type,type,
fFalse: bool ).
thf(fTrue_type,type,
fTrue: bool ).
thf(member_type,type,
member:
!>[TA: $tType] : ( TA > ( fun @ TA @ bool ) > $o ) ).
thf(pp_type,type,
pp: bool > $o ).
thf(a_type,type,
a: agent ).
thf(a1_type,type,
a1: agent ).
thf(aa_type,type,
aa: agent ).
thf(b_type,type,
b: agent ).
thf(ba_type,type,
ba: agent ).
thf(k_type,type,
k: nat ).
thf(kab_type,type,
kab: nat ).
thf(na_type,type,
na: msg ).
thf(nAa_type,type,
nAa: nat ).
thf(nb_type,type,
nb: nat ).
thf(x_type,type,
x: msg ).
thf(evs2_type,type,
evs2: list @ event ).
thf(54,axiom,
! [A: fun @ msg @ bool] :
( ( parts @ ( parts @ A ) )
= ( parts @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_21_parts__idem) ).
thf(308,plain,
! [A: fun @ msg @ bool] :
( ( parts @ ( parts @ A ) )
= ( parts @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(66,axiom,
! [A: agent,B: list @ event,C: nat] :
( ~ ( member @ msg @ ( key @ C ) @ ( used @ B ) )
=> ( C
!= ( shrK @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_64_neq__shrK) ).
thf(344,plain,
! [A: agent,B: list @ event,C: nat] :
( ~ ( member @ msg @ ( key @ C ) @ ( used @ B ) )
=> ( C
!= ( shrK @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(99,axiom,
! [A: nat,B: msg,C: agent,D: msg,E: agent,F: nat,G: list @ event] :
( ( member @ ( list @ event ) @ G @ nS_Sha254967238shared )
=> ( ~ ( member @ msg @ ( key @ F ) @ ( analz @ ( knows @ spy @ G ) ) )
=> ( ( member @ event @ ( says @ server @ E @ ( crypt @ ( shrK @ E ) @ ( mPair @ D @ ( mPair @ ( agent1 @ C ) @ ( mPair @ ( key @ F ) @ B ) ) ) ) ) @ ( set @ event @ G ) )
=> ( ( member @ msg @ ( crypt @ F @ ( nonce @ A ) ) @ ( parts @ ( knows @ spy @ G ) ) )
=> ( member @ event @ ( says @ C @ E @ ( crypt @ F @ ( nonce @ A ) ) ) @ ( set @ event @ G ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_A__trusts__NS4__lemma) ).
thf(457,plain,
! [A: nat,B: msg,C: agent,D: msg,E: agent,F: nat,G: list @ event] :
( ( member @ ( list @ event ) @ G @ nS_Sha254967238shared )
=> ( ~ ( member @ msg @ ( key @ F ) @ ( analz @ ( knows @ spy @ G ) ) )
=> ( ( member @ event @ ( says @ server @ E @ ( crypt @ ( shrK @ E ) @ ( mPair @ D @ ( mPair @ ( agent1 @ C ) @ ( mPair @ ( key @ F ) @ B ) ) ) ) ) @ ( set @ event @ G ) )
=> ( ( member @ msg @ ( crypt @ F @ ( nonce @ A ) ) @ ( parts @ ( knows @ spy @ G ) ) )
=> ( member @ event @ ( says @ C @ E @ ( crypt @ F @ ( nonce @ A ) ) ) @ ( set @ event @ G ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(14,axiom,
! [A: msg,B: nat,C: agent,D: nat,E: agent,F: agent,G: list @ event] :
( ( member @ ( list @ event ) @ G @ nS_Sha254967238shared )
=> ( ( F != server )
=> ( ( member @ event @ ( says @ E @ F @ ( crypt @ ( shrK @ F ) @ ( mPair @ ( nonce @ D ) @ ( mPair @ ( agent1 @ C ) @ ( mPair @ ( key @ B ) @ A ) ) ) ) ) @ ( set @ event @ G ) )
=> ( ( member @ event @ ( says @ F @ server @ ( mPair @ ( agent1 @ F ) @ ( mPair @ ( agent1 @ C ) @ ( nonce @ D ) ) ) ) @ ( set @ event @ G ) )
=> ( member @ ( list @ event ) @ ( cons @ event @ ( says @ F @ C @ A ) @ G ) @ nS_Sha254967238shared ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_77_ns__shared_ONS3) ).
thf(166,plain,
! [A: msg,B: nat,C: agent,D: nat,E: agent,F: agent,G: list @ event] :
( ( member @ ( list @ event ) @ G @ nS_Sha254967238shared )
=> ( ( F != server )
=> ( ( member @ event @ ( says @ E @ F @ ( crypt @ ( shrK @ F ) @ ( mPair @ ( nonce @ D ) @ ( mPair @ ( agent1 @ C ) @ ( mPair @ ( key @ B ) @ A ) ) ) ) ) @ ( set @ event @ G ) )
=> ( ( member @ event @ ( says @ F @ server @ ( mPair @ ( agent1 @ F ) @ ( mPair @ ( agent1 @ C ) @ ( nonce @ D ) ) ) ) @ ( set @ event @ G ) )
=> ( member @ ( list @ event ) @ ( cons @ event @ ( says @ F @ C @ A ) @ G ) @ nS_Sha254967238shared ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(77,axiom,
! [A: list @ event,B: msg,C: msg,D: msg,E: msg,F: nat,G: agent,H: agent] :
( ( member @ event @ ( says @ H @ G @ ( crypt @ F @ ( mPair @ E @ ( mPair @ D @ ( mPair @ C @ B ) ) ) ) ) @ ( set @ event @ A ) )
=> ( member @ msg @ B @ ( parts @ ( knows @ spy @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_NS3__msg__in__parts__spies) ).
thf(383,plain,
! [A: list @ event,B: msg,C: msg,D: msg,E: msg,F: nat,G: agent,H: agent] :
( ( member @ event @ ( says @ H @ G @ ( crypt @ F @ ( mPair @ E @ ( mPair @ D @ ( mPair @ C @ B ) ) ) ) ) @ ( set @ event @ A ) )
=> ( member @ msg @ B @ ( parts @ ( knows @ spy @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(5,axiom,
! [TA: $tType,TB: $tType,A: fun @ TA @ TB,B: fun @ TA @ TB] :
( ! [C: TA] :
( ( aa1 @ TA @ TB @ B @ C )
= ( aa1 @ TA @ TB @ A @ C ) )
=> ( B = A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_75_ext) ).
thf(138,plain,
! [TA: $tType,TB: $tType,A: fun @ TA @ TB,B: fun @ TA @ TB] :
( ! [C: TA] :
( ( aa1 @ TA @ TB @ B @ C )
= ( aa1 @ TA @ TB @ A @ C ) )
=> ( B = A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(104,axiom,
! [A: agent,B: nat] :
( ( key @ B )
!= ( agent1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_52_msg_Osimps_I13_J) ).
thf(468,plain,
! [A: agent,B: nat] :
( ( key @ B )
!= ( agent1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).
thf(31,axiom,
! [A: agent,B: agent,C: nat,D: list @ event] :
( ( nS_Sha993195050haredp @ D )
=> ( ~ ( member @ msg @ ( nonce @ C ) @ ( used @ D ) )
=> ( nS_Sha993195050haredp @ ( cons @ event @ ( says @ B @ server @ ( mPair @ ( agent1 @ B ) @ ( mPair @ ( agent1 @ A ) @ ( nonce @ C ) ) ) ) @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_91_ns__sharedp_ONS1) ).
thf(234,plain,
! [A: agent,B: agent,C: nat,D: list @ event] :
( ( nS_Sha993195050haredp @ D )
=> ( ~ ( member @ msg @ ( nonce @ C ) @ ( used @ D ) )
=> ( nS_Sha993195050haredp @ ( cons @ event @ ( says @ B @ server @ ( mPair @ ( agent1 @ B ) @ ( mPair @ ( agent1 @ A ) @ ( nonce @ C ) ) ) ) @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(105,axiom,
! [A: agent,B: agent,C: agent,D: nat,E: nat,F: list @ event] :
( ( member @ ( list @ event ) @ F @ nS_Sha254967238shared )
=> ( ~ ( member @ msg @ ( nonce @ E ) @ ( used @ F ) )
=> ( ( member @ nat @ D @ symKeys )
=> ( ( member @ event @ ( says @ C @ B @ ( crypt @ ( shrK @ B ) @ ( mPair @ ( key @ D ) @ ( agent1 @ A ) ) ) ) @ ( set @ event @ F ) )
=> ( member @ ( list @ event ) @ ( cons @ event @ ( says @ B @ A @ ( crypt @ D @ ( nonce @ E ) ) ) @ F ) @ nS_Sha254967238shared ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_73_ns__shared_ONS4) ).
thf(472,plain,
! [A: agent,B: agent,C: agent,D: nat,E: nat,F: list @ event] :
( ( member @ ( list @ event ) @ F @ nS_Sha254967238shared )
=> ( ~ ( member @ msg @ ( nonce @ E ) @ ( used @ F ) )
=> ( ( member @ nat @ D @ symKeys )
=> ( ( member @ event @ ( says @ C @ B @ ( crypt @ ( shrK @ B ) @ ( mPair @ ( key @ D ) @ ( agent1 @ A ) ) ) ) @ ( set @ event @ F ) )
=> ( member @ ( list @ event ) @ ( cons @ event @ ( says @ B @ A @ ( crypt @ D @ ( nonce @ E ) ) ) @ F ) @ nS_Sha254967238shared ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).
thf(9,axiom,
! [A: nat,B: agent,C: agent,D: agent,E: nat,F: list @ event] :
( ( nS_Sha993195050haredp @ F )
=> ( ~ ( member @ msg @ ( key @ E ) @ ( used @ F ) )
=> ( ( member @ nat @ E @ symKeys )
=> ( ( member @ event @ ( says @ D @ server @ ( mPair @ ( agent1 @ C ) @ ( mPair @ ( agent1 @ B ) @ ( nonce @ A ) ) ) ) @ ( set @ event @ F ) )
=> ( nS_Sha993195050haredp @ ( cons @ event @ ( says @ server @ C @ ( crypt @ ( shrK @ C ) @ ( mPair @ ( nonce @ A ) @ ( mPair @ ( agent1 @ B ) @ ( mPair @ ( key @ E ) @ ( crypt @ ( shrK @ B ) @ ( mPair @ ( key @ E ) @ ( agent1 @ C ) ) ) ) ) ) ) ) @ F ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_88_ns__sharedp_ONS2) ).
thf(153,plain,
! [A: nat,B: agent,C: agent,D: agent,E: nat,F: list @ event] :
( ( nS_Sha993195050haredp @ F )
=> ( ~ ( member @ msg @ ( key @ E ) @ ( used @ F ) )
=> ( ( member @ nat @ E @ symKeys )
=> ( ( member @ event @ ( says @ D @ server @ ( mPair @ ( agent1 @ C ) @ ( mPair @ ( agent1 @ B ) @ ( nonce @ A ) ) ) ) @ ( set @ event @ F ) )
=> ( nS_Sha993195050haredp @ ( cons @ event @ ( says @ server @ C @ ( crypt @ ( shrK @ C ) @ ( mPair @ ( nonce @ A ) @ ( mPair @ ( agent1 @ B ) @ ( mPair @ ( key @ E ) @ ( crypt @ ( shrK @ B ) @ ( mPair @ ( key @ E ) @ ( agent1 @ C ) ) ) ) ) ) ) ) @ F ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(17,axiom,
! [A: msg,B: msg,C: msg,D: nat] :
( ( crypt @ D @ C )
!= ( mPair @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_40_msg_Osimps_I49_J) ).
thf(174,plain,
! [A: msg,B: msg,C: msg,D: nat] :
( ( crypt @ D @ C )
!= ( mPair @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(20,axiom,
! [A: fun @ msg @ bool,B: msg,C: nat] :
( ( member @ msg @ ( crypt @ C @ B ) @ ( parts @ A ) )
=> ( member @ msg @ B @ ( parts @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_44_parts_OBody) ).
thf(185,plain,
! [A: fun @ msg @ bool,B: msg,C: nat] :
( ( member @ msg @ ( crypt @ C @ B ) @ ( parts @ A ) )
=> ( member @ msg @ B @ ( parts @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(40,axiom,
! [A: list @ event,B: nat] :
( ~ ( member @ msg @ ( key @ B ) @ ( used @ A ) )
=> ( ( member @ nat @ B @ symKeys )
=> ( ( member @ ( list @ event ) @ A @ nS_Sha254967238shared )
=> ~ ( member @ nat @ B @ ( keysFor @ ( parts @ ( knows @ spy @ A ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_78_new__keys__not__used) ).
thf(257,plain,
! [A: list @ event,B: nat] :
( ~ ( member @ msg @ ( key @ B ) @ ( used @ A ) )
=> ( ( member @ nat @ B @ symKeys )
=> ( ( member @ ( list @ event ) @ A @ nS_Sha254967238shared )
=> ~ ( member @ nat @ B @ ( keysFor @ ( parts @ ( knows @ spy @ A ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(22,axiom,
! [A: msg,B: agent,C: agent,D: msg,E: agent,F: agent] :
( ( ( says @ F @ E @ D )
= ( says @ C @ B @ A ) )
<=> ( ( F = C )
& ( E = B )
& ( D = A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_26_event_Osimps_I1_J) ).
thf(189,plain,
! [A: msg,B: agent,C: agent,D: msg,E: agent,F: agent] :
( ( ( ( says @ F @ E @ D )
= ( says @ C @ B @ A ) )
=> ( ( F = C )
& ( E = B )
& ( D = A ) ) )
& ( ( ( F = C )
& ( E = B )
& ( D = A ) )
=> ( ( says @ F @ E @ D )
= ( says @ C @ B @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(87,axiom,
! [A: nat,B: agent] :
( ( agent1 @ B )
!= ( key @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_51_msg_Osimps_I12_J) ).
thf(416,plain,
! [A: nat,B: agent] :
( ( agent1 @ B )
!= ( key @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(48,axiom,
! [A: list @ event,B: msg,C: agent] :
( ( member @ event @ ( notes @ C @ B ) @ ( set @ event @ A ) )
=> ( member @ msg @ B @ ( knows @ C @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_99_Notes__imp__knows) ).
thf(289,plain,
! [A: list @ event,B: msg,C: agent] :
( ( member @ event @ ( notes @ C @ B ) @ ( set @ event @ A ) )
=> ( member @ msg @ B @ ( knows @ C @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(97,axiom,
! [A: fun @ msg @ bool,B: msg] :
( ( ( member @ msg @ B @ ( analz @ A ) )
& ( member @ msg @ B @ ( parts @ A ) ) )
<=> ( member @ msg @ B @ ( analz @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_14_analz__conj__parts) ).
thf(448,plain,
! [A: fun @ msg @ bool,B: msg] :
( ( ( ( member @ msg @ B @ ( analz @ A ) )
& ( member @ msg @ B @ ( parts @ A ) ) )
=> ( member @ msg @ B @ ( analz @ A ) ) )
& ( ( member @ msg @ B @ ( analz @ A ) )
=> ( ( member @ msg @ B @ ( analz @ A ) )
& ( member @ msg @ B @ ( parts @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(95,axiom,
! [A: list @ event,B: msg,C: agent,D: agent] :
( ( member @ event @ ( says @ D @ C @ B ) @ ( set @ event @ A ) )
=> ( member @ msg @ B @ ( knows @ spy @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_69_Says__imp__spies) ).
thf(443,plain,
! [A: list @ event,B: msg,C: agent,D: agent] :
( ( member @ event @ ( says @ D @ C @ B ) @ ( set @ event @ A ) )
=> ( member @ msg @ B @ ( knows @ spy @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(33,axiom,
! [A: fun @ msg @ bool,B: msg,C: msg] :
( ( member @ msg @ ( mPair @ C @ B ) @ ( analz @ A ) )
=> ( member @ msg @ C @ ( analz @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_32_analz_OFst) ).
thf(238,plain,
! [A: fun @ msg @ bool,B: msg,C: msg] :
( ( member @ msg @ ( mPair @ C @ B ) @ ( analz @ A ) )
=> ( member @ msg @ C @ ( analz @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(67,axiom,
! [A: msg,B: nat,C: nat,D: nat,E: agent,F: agent,G: list @ event] :
( ( member @ ( list @ event ) @ G @ nS_Sha254967238shared )
=> ( ( member @ event @ ( says @ F @ E @ ( crypt @ D @ ( nonce @ C ) ) ) @ ( set @ event @ G ) )
=> ( ( member @ event @ ( says @ server @ E @ ( crypt @ ( shrK @ E ) @ ( mPair @ ( nonce @ B ) @ ( mPair @ ( agent1 @ F ) @ ( mPair @ ( key @ D ) @ A ) ) ) ) ) @ ( set @ event @ G ) )
=> ( member @ ( list @ event ) @ ( cons @ event @ ( notes @ spy @ ( mPair @ ( nonce @ B ) @ ( mPair @ ( nonce @ C ) @ ( key @ D ) ) ) ) @ G ) @ nS_Sha254967238shared ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_95_ns__shared_OOops) ).
thf(348,plain,
! [A: msg,B: nat,C: nat,D: nat,E: agent,F: agent,G: list @ event] :
( ( member @ ( list @ event ) @ G @ nS_Sha254967238shared )
=> ( ( member @ event @ ( says @ F @ E @ ( crypt @ D @ ( nonce @ C ) ) ) @ ( set @ event @ G ) )
=> ( ( member @ event @ ( says @ server @ E @ ( crypt @ ( shrK @ E ) @ ( mPair @ ( nonce @ B ) @ ( mPair @ ( agent1 @ F ) @ ( mPair @ ( key @ D ) @ A ) ) ) ) ) @ ( set @ event @ G ) )
=> ( member @ ( list @ event ) @ ( cons @ event @ ( notes @ spy @ ( mPair @ ( nonce @ B ) @ ( mPair @ ( nonce @ C ) @ ( key @ D ) ) ) ) @ G ) @ nS_Sha254967238shared ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(69,axiom,
! [A: msg,B: agent,C: nat,D: agent,E: nat,F: agent,G: agent,H: nat,I: list @ event] :
( ( member @ ( list @ event ) @ I @ nS_Sha254967238shared )
=> ( ( member @ nat @ H @ symKeys )
=> ( ( member @ event @ ( says @ G @ F @ ( crypt @ H @ ( nonce @ E ) ) ) @ ( set @ event @ I ) )
=> ( ( member @ event @ ( says @ D @ F @ ( crypt @ ( shrK @ F ) @ ( mPair @ ( nonce @ C ) @ ( mPair @ ( agent1 @ B ) @ ( mPair @ ( key @ H ) @ A ) ) ) ) ) @ ( set @ event @ I ) )
=> ( member @ ( list @ event ) @ ( cons @ event @ ( says @ F @ B @ ( crypt @ H @ ( mPair @ ( nonce @ E ) @ ( nonce @ E ) ) ) ) @ I ) @ nS_Sha254967238shared ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_74_ns__shared_ONS5) ).
thf(353,plain,
! [A: msg,B: agent,C: nat,D: agent,E: nat,F: agent,G: agent,H: nat,I: list @ event] :
( ( member @ ( list @ event ) @ I @ nS_Sha254967238shared )
=> ( ( member @ nat @ H @ symKeys )
=> ( ( member @ event @ ( says @ G @ F @ ( crypt @ H @ ( nonce @ E ) ) ) @ ( set @ event @ I ) )
=> ( ( member @ event @ ( says @ D @ F @ ( crypt @ ( shrK @ F ) @ ( mPair @ ( nonce @ C ) @ ( mPair @ ( agent1 @ B ) @ ( mPair @ ( key @ H ) @ A ) ) ) ) ) @ ( set @ event @ I ) )
=> ( member @ ( list @ event ) @ ( cons @ event @ ( says @ F @ B @ ( crypt @ H @ ( mPair @ ( nonce @ E ) @ ( nonce @ E ) ) ) ) @ I ) @ nS_Sha254967238shared ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(110,axiom,
! [A: fun @ msg @ bool,B: msg,C: nat] :
( ( member @ msg @ ( crypt @ C @ B ) @ ( parts @ A ) )
=> ( member @ msg @ B @ ( parts @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_43_spies__partsEs_I2_J) ).
thf(492,plain,
! [A: fun @ msg @ bool,B: msg,C: nat] :
( ( member @ msg @ ( crypt @ C @ B ) @ ( parts @ A ) )
=> ( member @ msg @ B @ ( parts @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).
thf(13,axiom,
~ ( member @ msg @ ( key @ k ) @ ( analz @ ( knows @ spy @ evs2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_4) ).
thf(164,plain,
~ ( member @ msg @ ( key @ k ) @ ( analz @ ( knows @ spy @ evs2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(85,axiom,
! [A: fun @ msg @ bool,B: msg,C: msg] :
( ( member @ msg @ ( mPair @ C @ B ) @ ( parts @ A ) )
=> ~ ( ( member @ msg @ C @ ( parts @ A ) )
=> ~ ( member @ msg @ B @ ( parts @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_11_MPair__parts) ).
thf(411,plain,
! [A: fun @ msg @ bool,B: msg,C: msg] :
( ( member @ msg @ ( mPair @ C @ B ) @ ( parts @ A ) )
=> ~ ( ( member @ msg @ C @ ( parts @ A ) )
=> ~ ( member @ msg @ B @ ( parts @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(24,axiom,
! [A: fun @ msg @ bool,B: msg,C: msg] :
( ( member @ msg @ ( mPair @ C @ B ) @ ( parts @ A ) )
=> ( member @ msg @ B @ ( parts @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_37_parts_OSnd) ).
thf(206,plain,
! [A: fun @ msg @ bool,B: msg,C: msg] :
( ( member @ msg @ ( mPair @ C @ B ) @ ( parts @ A ) )
=> ( member @ msg @ B @ ( parts @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(37,axiom,
! [A: agent,B: agent,C: agent,D: nat,E: nat,F: list @ event] :
( ( nS_Sha993195050haredp @ F )
=> ( ~ ( member @ msg @ ( nonce @ E ) @ ( used @ F ) )
=> ( ( member @ nat @ D @ symKeys )
=> ( ( member @ event @ ( says @ C @ B @ ( crypt @ ( shrK @ B ) @ ( mPair @ ( key @ D ) @ ( agent1 @ A ) ) ) ) @ ( set @ event @ F ) )
=> ( nS_Sha993195050haredp @ ( cons @ event @ ( says @ B @ A @ ( crypt @ D @ ( nonce @ E ) ) ) @ F ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_89_ns__sharedp_ONS4) ).
thf(248,plain,
! [A: agent,B: agent,C: agent,D: nat,E: nat,F: list @ event] :
( ( nS_Sha993195050haredp @ F )
=> ( ~ ( member @ msg @ ( nonce @ E ) @ ( used @ F ) )
=> ( ( member @ nat @ D @ symKeys )
=> ( ( member @ event @ ( says @ C @ B @ ( crypt @ ( shrK @ B ) @ ( mPair @ ( key @ D ) @ ( agent1 @ A ) ) ) ) @ ( set @ event @ F ) )
=> ( nS_Sha993195050haredp @ ( cons @ event @ ( says @ B @ A @ ( crypt @ D @ ( nonce @ E ) ) ) @ F ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(94,axiom,
! [A: msg,B: nat,C: agent] :
( ( agent1 @ C )
!= ( crypt @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_56_msg_Osimps_I18_J) ).
thf(439,plain,
! [A: msg,B: nat,C: agent] :
( ( agent1 @ C )
!= ( crypt @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(76,axiom,
! [A: fun @ msg @ bool,B: msg,C: msg] :
( ( member @ msg @ ( mPair @ C @ B ) @ ( parts @ A ) )
=> ( member @ msg @ C @ ( parts @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_38_parts_OFst) ).
thf(381,plain,
! [A: fun @ msg @ bool,B: msg,C: msg] :
( ( member @ msg @ ( mPair @ C @ B ) @ ( parts @ A ) )
=> ( member @ msg @ C @ ( parts @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(74,axiom,
! [A: nat,B: msg,C: msg] :
( ( mPair @ C @ B )
!= ( nonce @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_45_msg_Osimps_I35_J) ).
thf(366,plain,
! [A: nat,B: msg,C: msg] :
( ( mPair @ C @ B )
!= ( nonce @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(62,axiom,
member @ event @ ( says @ a1 @ server @ ( mPair @ ( agent1 @ aa ) @ ( mPair @ ( agent1 @ ba ) @ ( nonce @ nAa ) ) ) ) @ ( set @ event @ evs2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_3) ).
thf(334,plain,
member @ event @ ( says @ a1 @ server @ ( mPair @ ( agent1 @ aa ) @ ( mPair @ ( agent1 @ ba ) @ ( nonce @ nAa ) ) ) ) @ ( set @ event @ evs2 ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(89,axiom,
! [A: agent,B: agent,C: nat,D: list @ event] :
( ( member @ ( list @ event ) @ D @ nS_Sha254967238shared )
=> ( ~ ( member @ msg @ ( nonce @ C ) @ ( used @ D ) )
=> ( member @ ( list @ event ) @ ( cons @ event @ ( says @ B @ server @ ( mPair @ ( agent1 @ B ) @ ( mPair @ ( agent1 @ A ) @ ( nonce @ C ) ) ) ) @ D ) @ nS_Sha254967238shared ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_86_ns__shared_ONS1) ).
thf(424,plain,
! [A: agent,B: agent,C: nat,D: list @ event] :
( ( member @ ( list @ event ) @ D @ nS_Sha254967238shared )
=> ( ~ ( member @ msg @ ( nonce @ C ) @ ( used @ D ) )
=> ( member @ ( list @ event ) @ ( cons @ event @ ( says @ B @ server @ ( mPair @ ( agent1 @ B ) @ ( mPair @ ( agent1 @ A ) @ ( nonce @ C ) ) ) ) @ D ) @ nS_Sha254967238shared ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(84,axiom,
! [A: nat,B: msg,C: msg] :
( ( mPair @ C @ B )
!= ( key @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_35_msg_Osimps_I41_J) ).
thf(407,plain,
! [A: nat,B: msg,C: msg] :
( ( mPair @ C @ B )
!= ( key @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(91,axiom,
! [A: agent,B: list @ event] :
( ( member @ ( list @ event ) @ B @ nS_Sha254967238shared )
=> ( ( member @ msg @ ( key @ ( shrK @ A ) ) @ ( analz @ ( knows @ spy @ B ) ) )
<=> ( member @ agent @ A @ bad ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_87_Spy__analz__shrK) ).
thf(429,plain,
! [A: agent,B: list @ event] :
( ( member @ ( list @ event ) @ B @ nS_Sha254967238shared )
=> ( ( ( member @ msg @ ( key @ ( shrK @ A ) ) @ ( analz @ ( knows @ spy @ B ) ) )
=> ( member @ agent @ A @ bad ) )
& ( ( member @ agent @ A @ bad )
=> ( member @ msg @ ( key @ ( shrK @ A ) ) @ ( analz @ ( knows @ spy @ B ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(39,axiom,
! [A: list @ event] :
( ( nS_Sha993195050haredp @ A )
<=> ( member @ ( list @ event ) @ A @ nS_Sha254967238shared ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_90_ns__sharedp__ns__shared__eq) ).
thf(252,plain,
! [A: list @ event] :
( ( ( nS_Sha993195050haredp @ A )
=> ( member @ ( list @ event ) @ A @ nS_Sha254967238shared ) )
& ( ( member @ ( list @ event ) @ A @ nS_Sha254967238shared )
=> ( nS_Sha993195050haredp @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(93,axiom,
! [A: nat,B: nat] :
( ( key @ B )
!= ( nonce @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_50_msg_Osimps_I31_J) ).
thf(435,plain,
! [A: nat,B: nat] :
( ( key @ B )
!= ( nonce @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(59,axiom,
! [A: list @ event,B: agent] : ( member @ msg @ ( key @ ( shrK @ B ) ) @ ( used @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_shrK__in__used) ).
thf(324,plain,
! [A: list @ event,B: agent] : ( member @ msg @ ( key @ ( shrK @ B ) ) @ ( used @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(11,axiom,
! [A: fun @ msg @ bool,B: msg] :
( ( ( member @ msg @ B @ ( analz @ A ) )
| ( member @ msg @ B @ ( parts @ A ) ) )
<=> ( member @ msg @ B @ ( parts @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_15_analz__disj__parts) ).
thf(156,plain,
! [A: fun @ msg @ bool,B: msg] :
( ( ( ( member @ msg @ B @ ( analz @ A ) )
| ( member @ msg @ B @ ( parts @ A ) ) )
=> ( member @ msg @ B @ ( parts @ A ) ) )
& ( ( member @ msg @ B @ ( parts @ A ) )
=> ( ( member @ msg @ B @ ( analz @ A ) )
| ( member @ msg @ B @ ( parts @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(21,axiom,
member @ nat @ kab @ symKeys,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2) ).
thf(188,plain,
member @ nat @ kab @ symKeys,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(79,axiom,
! [A: list @ event,B: agent] :
( ( member @ agent @ B @ bad )
=> ( member @ msg @ ( key @ ( shrK @ B ) ) @ ( knows @ spy @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_81_Spy__spies__bad__shrK) ).
thf(388,plain,
! [A: list @ event,B: agent] :
( ( member @ agent @ B @ bad )
=> ( member @ msg @ ( key @ ( shrK @ B ) ) @ ( knows @ spy @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(15,axiom,
! [A: fun @ msg @ bool,B: msg,C: msg] :
( ( member @ msg @ ( mPair @ C @ B ) @ ( analz @ A ) )
=> ~ ( ( member @ msg @ C @ ( analz @ A ) )
=> ~ ( member @ msg @ B @ ( analz @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_27_MPair__analz) ).
thf(169,plain,
! [A: fun @ msg @ bool,B: msg,C: msg] :
( ( member @ msg @ ( mPair @ C @ B ) @ ( analz @ A ) )
=> ~ ( ( member @ msg @ C @ ( analz @ A ) )
=> ~ ( member @ msg @ B @ ( analz @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(6,axiom,
~ ( pp @ fFalse ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_pp_1_1_U) ).
thf(141,plain,
~ ( pp @ fFalse ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(88,axiom,
! [A: msg,B: nat,C: nat] :
( ( nonce @ C )
!= ( crypt @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_54_msg_Osimps_I36_J) ).
thf(420,plain,
! [A: msg,B: nat,C: nat] :
( ( nonce @ C )
!= ( crypt @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(3,axiom,
! [A: fun @ msg @ bool] :
( ( analz @ ( analz @ A ) )
= ( analz @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_17_analz__idem) ).
thf(124,plain,
! [A: fun @ msg @ bool] :
( ( analz @ ( analz @ A ) )
= ( analz @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(64,axiom,
! [A: list @ event,B: agent,C: nat,D: agent] :
( ( member @ msg @ ( crypt @ ( shrK @ D ) @ ( mPair @ ( key @ C ) @ ( agent1 @ B ) ) ) @ ( parts @ ( knows @ spy @ A ) ) )
=> ( ~ ( member @ agent @ D @ bad )
=> ( ( member @ ( list @ event ) @ A @ nS_Sha254967238shared )
=> ? [E: msg] : ( member @ event @ ( says @ server @ B @ ( crypt @ ( shrK @ B ) @ ( mPair @ E @ ( mPair @ ( agent1 @ D ) @ ( mPair @ ( key @ C ) @ ( crypt @ ( shrK @ D ) @ ( mPair @ ( key @ C ) @ ( agent1 @ B ) ) ) ) ) ) ) ) @ ( set @ event @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_71_B__trusts__NS3) ).
thf(339,plain,
! [A: list @ event,B: agent,C: nat,D: agent] :
( ( member @ msg @ ( crypt @ ( shrK @ D ) @ ( mPair @ ( key @ C ) @ ( agent1 @ B ) ) ) @ ( parts @ ( knows @ spy @ A ) ) )
=> ( ~ ( member @ agent @ D @ bad )
=> ( ( member @ ( list @ event ) @ A @ nS_Sha254967238shared )
=> ? [E: msg] : ( member @ event @ ( says @ server @ B @ ( crypt @ ( shrK @ B ) @ ( mPair @ E @ ( mPair @ ( agent1 @ D ) @ ( mPair @ ( key @ C ) @ ( crypt @ ( shrK @ D ) @ ( mPair @ ( key @ C ) @ ( agent1 @ B ) ) ) ) ) ) ) ) @ ( set @ event @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(36,axiom,
! [A: agent,B: list @ event,C: nat] :
( ~ ( member @ msg @ ( key @ C ) @ ( used @ B ) )
=> ( ( shrK @ A )
!= C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_63_shrK__neq) ).
thf(244,plain,
! [A: agent,B: list @ event,C: nat] :
( ~ ( member @ msg @ ( key @ C ) @ ( used @ B ) )
=> ( ( shrK @ A )
!= C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(72,axiom,
! [A: agent,B: msg,C: nat] :
( ( crypt @ C @ B )
!= ( agent1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_55_msg_Osimps_I19_J) ).
thf(360,plain,
! [A: agent,B: msg,C: nat] :
( ( crypt @ C @ B )
!= ( agent1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(55,axiom,
! [A: agent,B: nat] :
( ( nonce @ B )
!= ( agent1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_57_msg_Osimps_I11_J) ).
thf(311,plain,
! [A: agent,B: nat] :
( ( nonce @ B )
!= ( agent1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(81,axiom,
! [A: agent,B: msg,C: msg] :
( ( mPair @ C @ B )
!= ( agent1 @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_47_msg_Osimps_I17_J) ).
thf(398,plain,
! [A: agent,B: msg,C: msg] :
( ( mPair @ C @ B )
!= ( agent1 @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(82,axiom,
! [A: list @ event,B: msg,C: msg] :
( ( member @ msg @ ( mPair @ C @ B ) @ ( used @ A ) )
=> ( ( member @ msg @ C @ ( used @ A ) )
& ( member @ msg @ B @ ( used @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_59_MPair__used__D) ).
thf(402,plain,
! [A: list @ event,B: msg,C: msg] :
( ( member @ msg @ ( mPair @ C @ B ) @ ( used @ A ) )
=> ( ( member @ msg @ C @ ( used @ A ) )
& ( member @ msg @ B @ ( used @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(49,axiom,
server != spy,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_60_agent_Osimps_I4_J) ).
thf(291,plain,
server != spy,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(47,axiom,
! [A: nat,B: nat] :
( ( ( nonce @ B )
= ( nonce @ A ) )
<=> ( B = A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_23_msg_Osimps_I3_J) ).
thf(281,plain,
! [A: nat,B: nat] :
( ( ( ( nonce @ B )
= ( nonce @ A ) )
=> ( B = A ) )
& ( ( B = A )
=> ( ( nonce @ B )
= ( nonce @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(41,axiom,
! [A: nat,B: msg,C: nat] :
( ( crypt @ C @ B )
!= ( key @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_41_msg_Osimps_I43_J) ).
thf(259,plain,
! [A: nat,B: msg,C: nat] :
( ( crypt @ C @ B )
!= ( key @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(8,axiom,
! [A: msg,B: agent,C: msg,D: agent,E: list @ event,F: msg,G: nat,H: agent,I: msg,J: agent] :
( ( member @ event @ ( says @ server @ J @ ( crypt @ ( shrK @ J ) @ ( mPair @ I @ ( mPair @ ( agent1 @ H ) @ ( mPair @ ( key @ G ) @ F ) ) ) ) ) @ ( set @ event @ E ) )
=> ( ( member @ event @ ( says @ server @ D @ ( crypt @ ( shrK @ D ) @ ( mPair @ C @ ( mPair @ ( agent1 @ B ) @ ( mPair @ ( key @ G ) @ A ) ) ) ) ) @ ( set @ event @ E ) )
=> ( ( member @ ( list @ event ) @ E @ nS_Sha254967238shared )
=> ( ( J = D )
& ( I = C )
& ( H = B )
& ( F = A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_unique__session__keys) ).
thf(144,plain,
! [A: msg,B: agent,C: msg,D: agent,E: list @ event,F: msg,G: nat,H: agent,I: msg,J: agent] :
( ( member @ event @ ( says @ server @ J @ ( crypt @ ( shrK @ J ) @ ( mPair @ I @ ( mPair @ ( agent1 @ H ) @ ( mPair @ ( key @ G ) @ F ) ) ) ) ) @ ( set @ event @ E ) )
=> ( ( member @ event @ ( says @ server @ D @ ( crypt @ ( shrK @ D ) @ ( mPair @ C @ ( mPair @ ( agent1 @ B ) @ ( mPair @ ( key @ G ) @ A ) ) ) ) ) @ ( set @ event @ E ) )
=> ( ( member @ ( list @ event ) @ E @ nS_Sha254967238shared )
=> ( ( J = D )
& ( I = C )
& ( H = B )
& ( F = A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(103,axiom,
! [A: fun @ msg @ bool,B: msg,C: nat] :
( ( member @ msg @ ( crypt @ C @ B ) @ A )
=> ( ( member @ nat @ C @ symKeys )
=> ( member @ nat @ C @ ( keysFor @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_83_Crypt__imp__keysFor) ).
thf(466,plain,
! [A: fun @ msg @ bool,B: msg,C: nat] :
( ( member @ msg @ ( crypt @ C @ B ) @ A )
=> ( ( member @ nat @ C @ symKeys )
=> ( member @ nat @ C @ ( keysFor @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).
thf(63,axiom,
! [A: msg,B: msg,C: nat] :
( ( nonce @ C )
!= ( mPair @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_46_msg_Osimps_I34_J) ).
thf(335,plain,
! [A: msg,B: msg,C: nat] :
( ( nonce @ C )
!= ( mPair @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(32,axiom,
! [A: list @ event,B: msg,C: agent,D: agent,E: msg] :
( ~ ( member @ msg @ E @ ( analz @ ( knows @ spy @ ( cons @ event @ ( says @ D @ C @ B ) @ A ) ) ) )
=> ~ ( member @ msg @ E @ ( analz @ ( knows @ spy @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_84_analz__mono__contra_I1_J) ).
thf(236,plain,
! [A: list @ event,B: msg,C: agent,D: agent,E: msg] :
( ~ ( member @ msg @ E @ ( analz @ ( knows @ spy @ ( cons @ event @ ( says @ D @ C @ B ) @ A ) ) ) )
=> ~ ( member @ msg @ E @ ( analz @ ( knows @ spy @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(19,axiom,
! [A: msg,B: nat,C: nat] :
( ( key @ C )
!= ( crypt @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_42_msg_Osimps_I42_J) ).
thf(181,plain,
! [A: msg,B: nat,C: nat] :
( ( key @ C )
!= ( crypt @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(68,axiom,
! [A: list @ event,B: msg,C: agent,D: agent] :
( ( member @ event @ ( says @ D @ C @ B ) @ ( set @ event @ A ) )
=> ( member @ msg @ B @ ( analz @ ( knows @ spy @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10_Says__imp__analz__Spy) ).
thf(350,plain,
! [A: list @ event,B: msg,C: agent,D: agent] :
( ( member @ event @ ( says @ D @ C @ B ) @ ( set @ event @ A ) )
=> ( member @ msg @ B @ ( analz @ ( knows @ spy @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(16,axiom,
! [A: fun @ msg @ bool,B: msg] :
( ( member @ msg @ B @ ( analz @ ( analz @ A ) ) )
=> ( member @ msg @ B @ ( analz @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_28_analz__analzD) ).
thf(172,plain,
! [A: fun @ msg @ bool,B: msg] :
( ( member @ msg @ B @ ( analz @ ( analz @ A ) ) )
=> ( member @ msg @ B @ ( analz @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(44,axiom,
! [A: fun @ msg @ bool,B: msg,C: msg] :
( ( member @ msg @ ( mPair @ C @ B ) @ ( analz @ A ) )
=> ( member @ msg @ B @ ( analz @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_31_analz_OSnd) ).
thf(274,plain,
! [A: fun @ msg @ bool,B: msg,C: msg] :
( ( member @ msg @ ( mPair @ C @ B ) @ ( analz @ A ) )
=> ( member @ msg @ B @ ( analz @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(29,axiom,
! [A: fun @ msg @ bool,B: msg] :
( ( member @ msg @ B @ ( analz @ A ) )
=> ( member @ msg @ B @ ( parts @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_33_analz__into__parts) ).
thf(230,plain,
! [A: fun @ msg @ bool,B: msg] :
( ( member @ msg @ B @ ( analz @ A ) )
=> ( member @ msg @ B @ ( parts @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(43,axiom,
! [A: fun @ msg @ bool] :
( ( analz @ ( parts @ A ) )
= ( parts @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_12_analz__parts) ).
thf(271,plain,
! [A: fun @ msg @ bool] :
( ( analz @ ( parts @ A ) )
= ( parts @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(26,axiom,
! [A: list @ event,B: msg,C: agent] :
( ( member @ msg @ ( crypt @ ( shrK @ C ) @ B ) @ ( analz @ ( knows @ spy @ A ) ) )
=> ( ( member @ agent @ C @ bad )
=> ( member @ msg @ B @ ( analz @ ( knows @ spy @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_85_Crypt__Spy__analz__bad) ).
thf(213,plain,
! [A: list @ event,B: msg,C: agent] :
( ( member @ msg @ ( crypt @ ( shrK @ C ) @ B ) @ ( analz @ ( knows @ spy @ A ) ) )
=> ( ( member @ agent @ C @ bad )
=> ( member @ msg @ B @ ( analz @ ( knows @ spy @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(34,axiom,
! [A: msg,B: agent,C: nat,D: agent,E: nat,F: agent,G: agent,H: nat,I: list @ event] :
( ( nS_Sha993195050haredp @ I )
=> ( ( member @ nat @ H @ symKeys )
=> ( ( member @ event @ ( says @ G @ F @ ( crypt @ H @ ( nonce @ E ) ) ) @ ( set @ event @ I ) )
=> ( ( member @ event @ ( says @ D @ F @ ( crypt @ ( shrK @ F ) @ ( mPair @ ( nonce @ C ) @ ( mPair @ ( agent1 @ B ) @ ( mPair @ ( key @ H ) @ A ) ) ) ) ) @ ( set @ event @ I ) )
=> ( nS_Sha993195050haredp @ ( cons @ event @ ( says @ F @ B @ ( crypt @ H @ ( mPair @ ( nonce @ E ) @ ( nonce @ E ) ) ) ) @ I ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_93_ns__sharedp_ONS5) ).
thf(240,plain,
! [A: msg,B: agent,C: nat,D: agent,E: nat,F: agent,G: agent,H: nat,I: list @ event] :
( ( nS_Sha993195050haredp @ I )
=> ( ( member @ nat @ H @ symKeys )
=> ( ( member @ event @ ( says @ G @ F @ ( crypt @ H @ ( nonce @ E ) ) ) @ ( set @ event @ I ) )
=> ( ( member @ event @ ( says @ D @ F @ ( crypt @ ( shrK @ F ) @ ( mPair @ ( nonce @ C ) @ ( mPair @ ( agent1 @ B ) @ ( mPair @ ( key @ H ) @ A ) ) ) ) ) @ ( set @ event @ I ) )
=> ( nS_Sha993195050haredp @ ( cons @ event @ ( says @ F @ B @ ( crypt @ H @ ( mPair @ ( nonce @ E ) @ ( nonce @ E ) ) ) ) @ I ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(10,axiom,
! [A: bool,B: list @ event,C: msg] :
( ( ~ ( member @ msg @ C @ ( analz @ ( knows @ spy @ B ) ) )
=> ( pp @ A ) )
=> ( ~ ( member @ msg @ C @ ( analz @ ( knows @ spy @ B ) ) )
=> ( pp @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_62_analz__impI) ).
thf(155,plain,
$true,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(61,axiom,
! [A: nat,B: agent] :
( ( agent1 @ B )
!= ( nonce @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_58_msg_Osimps_I10_J) ).
thf(330,plain,
! [A: nat,B: agent] :
( ( agent1 @ B )
!= ( nonce @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(101,axiom,
~ ( member @ msg @ ( key @ kab ) @ ( used @ evs2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
thf(462,plain,
~ ( member @ msg @ ( key @ kab ) @ ( used @ evs2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(46,axiom,
! [A: agent,B: list @ event] :
( ( member @ ( list @ event ) @ B @ nS_Sha254967238shared )
=> ( ( member @ msg @ ( key @ ( shrK @ A ) ) @ ( parts @ ( knows @ spy @ B ) ) )
<=> ( member @ agent @ A @ bad ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_79_Spy__see__shrK) ).
thf(278,plain,
! [A: agent,B: list @ event] :
( ( member @ ( list @ event ) @ B @ nS_Sha254967238shared )
=> ( ( ( member @ msg @ ( key @ ( shrK @ A ) ) @ ( parts @ ( knows @ spy @ B ) ) )
=> ( member @ agent @ A @ bad ) )
& ( ( member @ agent @ A @ bad )
=> ( member @ msg @ ( key @ ( shrK @ A ) ) @ ( parts @ ( knows @ spy @ B ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(98,axiom,
! [A: fun @ msg @ bool,B: msg,C: agent] :
( ( member @ msg @ ( crypt @ ( shrK @ C ) @ B ) @ ( analz @ A ) )
=> ( ( member @ msg @ ( key @ ( shrK @ C ) ) @ ( analz @ A ) )
=> ( member @ msg @ B @ ( analz @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_67_analz__shrK__Decrypt) ).
thf(455,plain,
! [A: fun @ msg @ bool,B: msg,C: agent] :
( ( member @ msg @ ( crypt @ ( shrK @ C ) @ B ) @ ( analz @ A ) )
=> ( ( member @ msg @ ( key @ ( shrK @ C ) ) @ ( analz @ A ) )
=> ( member @ msg @ B @ ( analz @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(53,axiom,
! [A: msg,B: nat,C: nat,D: nat,E: agent,F: agent,G: list @ event] :
( ( nS_Sha993195050haredp @ G )
=> ( ( member @ event @ ( says @ F @ E @ ( crypt @ D @ ( nonce @ C ) ) ) @ ( set @ event @ G ) )
=> ( ( member @ event @ ( says @ server @ E @ ( crypt @ ( shrK @ E ) @ ( mPair @ ( nonce @ B ) @ ( mPair @ ( agent1 @ F ) @ ( mPair @ ( key @ D ) @ A ) ) ) ) ) @ ( set @ event @ G ) )
=> ( nS_Sha993195050haredp @ ( cons @ event @ ( notes @ spy @ ( mPair @ ( nonce @ B ) @ ( mPair @ ( nonce @ C ) @ ( key @ D ) ) ) ) @ G ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_94_ns__sharedp_OOops) ).
thf(306,plain,
! [A: msg,B: nat,C: nat,D: nat,E: agent,F: agent,G: list @ event] :
( ( nS_Sha993195050haredp @ G )
=> ( ( member @ event @ ( says @ F @ E @ ( crypt @ D @ ( nonce @ C ) ) ) @ ( set @ event @ G ) )
=> ( ( member @ event @ ( says @ server @ E @ ( crypt @ ( shrK @ E ) @ ( mPair @ ( nonce @ B ) @ ( mPair @ ( agent1 @ F ) @ ( mPair @ ( key @ D ) @ A ) ) ) ) ) @ ( set @ event @ G ) )
=> ( nS_Sha993195050haredp @ ( cons @ event @ ( notes @ spy @ ( mPair @ ( nonce @ B ) @ ( mPair @ ( nonce @ C ) @ ( key @ D ) ) ) ) @ G ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(52,axiom,
! [A: nat,B: nat] :
( ~ ( ( member @ nat @ B @ symKeys )
<=> ( member @ nat @ A @ symKeys ) )
=> ( B != A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_30_symKeys__neq__imp__neq) ).
thf(299,plain,
! [A: nat,B: nat] :
( ~ ( ( ( member @ nat @ B @ symKeys )
=> ( member @ nat @ A @ symKeys ) )
& ( ( member @ nat @ A @ symKeys )
=> ( member @ nat @ B @ symKeys ) ) )
=> ( B != A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(28,axiom,
! [A: msg,B: agent,C: msg,D: agent,E: agent] :
( ( says @ E @ D @ C )
!= ( notes @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_97_event_Osimps_I6_J) ).
thf(226,plain,
! [A: msg,B: agent,C: msg,D: agent,E: agent] :
( ( says @ E @ D @ C )
!= ( notes @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(109,axiom,
! [A: fun @ msg @ bool,B: msg] :
( ~ ( member @ msg @ B @ ( parts @ A ) )
=> ~ ( member @ msg @ B @ ( analz @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_34_not__parts__not__analz) ).
thf(490,plain,
! [A: fun @ msg @ bool,B: msg] :
( ~ ( member @ msg @ B @ ( parts @ A ) )
=> ~ ( member @ msg @ B @ ( analz @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).
thf(90,axiom,
! [A: list @ event,B: msg,C: agent,D: agent] :
( ( member @ event @ ( says @ D @ C @ B ) @ ( set @ event @ A ) )
=> ( member @ msg @ B @ ( parts @ ( knows @ spy @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9_Says__imp__parts__knows__Spy) ).
thf(426,plain,
! [A: list @ event,B: msg,C: agent,D: agent] :
( ( member @ event @ ( says @ D @ C @ B ) @ ( set @ event @ A ) )
=> ( member @ msg @ B @ ( parts @ ( knows @ spy @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(12,axiom,
( ( member @ event @ ( says @ server @ a @ ( crypt @ ( shrK @ a ) @ ( mPair @ na @ ( mPair @ ( agent1 @ b ) @ ( mPair @ ( key @ k ) @ x ) ) ) ) ) @ ( set @ event @ evs2 ) )
=> ( ( member @ msg @ ( crypt @ k @ ( nonce @ nb ) ) @ ( parts @ ( knows @ spy @ evs2 ) ) )
=> ? [A: agent] : ( member @ event @ ( says @ A @ b @ x ) @ ( set @ event @ evs2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_5) ).
thf(162,plain,
( ( member @ event @ ( says @ server @ a @ ( crypt @ ( shrK @ a ) @ ( mPair @ na @ ( mPair @ ( agent1 @ b ) @ ( mPair @ ( key @ k ) @ x ) ) ) ) ) @ ( set @ event @ evs2 ) )
=> ( ( member @ msg @ ( crypt @ k @ ( nonce @ nb ) ) @ ( parts @ ( knows @ spy @ evs2 ) ) )
=> ? [A: agent] : ( member @ event @ ( says @ A @ b @ x ) @ ( set @ event @ evs2 ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(25,axiom,
! [A: msg,B: agent,C: agent,D: msg,E: agent] :
( ( notes @ E @ D )
!= ( says @ C @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_98_event_Osimps_I7_J) ).
thf(209,plain,
! [A: msg,B: agent,C: agent,D: msg,E: agent] :
( ( notes @ E @ D )
!= ( says @ C @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(70,axiom,
spy != server,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_61_agent_Osimps_I5_J) ).
thf(355,plain,
spy != server,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(51,axiom,
! [A: nat,B: nat] :
( ( nonce @ B )
!= ( key @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_49_msg_Osimps_I30_J) ).
thf(295,plain,
! [A: nat,B: nat] :
( ( nonce @ B )
!= ( key @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(86,axiom,
! [A: list @ event,B: msg,C: agent,D: agent] :
( ( member @ event @ ( says @ D @ C @ B ) @ ( set @ event @ A ) )
=> ( member @ msg @ B @ ( knows @ D @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_65_Says__imp__knows) ).
thf(414,plain,
! [A: list @ event,B: msg,C: agent,D: agent] :
( ( member @ event @ ( says @ D @ C @ B ) @ ( set @ event @ A ) )
=> ( member @ msg @ B @ ( knows @ D @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(42,axiom,
! [A: nat,B: nat] :
( ( ( key @ B )
= ( key @ A ) )
<=> ( B = A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_19_msg_Osimps_I4_J) ).
thf(263,plain,
! [A: nat,B: nat] :
( ( ( ( key @ B )
= ( key @ A ) )
=> ( B = A ) )
& ( ( B = A )
=> ( ( key @ B )
= ( key @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(75,axiom,
! [A: msg,B: msg,C: msg,D: msg] :
( ( ( mPair @ D @ C )
= ( mPair @ B @ A ) )
<=> ( ( D = B )
& ( C = A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_18_msg_Osimps_I6_J) ).
thf(370,plain,
! [A: msg,B: msg,C: msg,D: msg] :
( ( ( ( mPair @ D @ C )
= ( mPair @ B @ A ) )
=> ( ( D = B )
& ( C = A ) ) )
& ( ( ( D = B )
& ( C = A ) )
=> ( ( mPair @ D @ C )
= ( mPair @ B @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(4,axiom,
! [A: msg,B: agent,C: msg,D: agent] :
( ( ( notes @ D @ C )
= ( notes @ B @ A ) )
<=> ( ( D = B )
& ( C = A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_96_event_Osimps_I3_J) ).
thf(127,plain,
! [A: msg,B: agent,C: msg,D: agent] :
( ( ( ( notes @ D @ C )
= ( notes @ B @ A ) )
=> ( ( D = B )
& ( C = A ) ) )
& ( ( ( D = B )
& ( C = A ) )
=> ( ( notes @ D @ C )
= ( notes @ B @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(78,axiom,
! [A: agent] : ( member @ nat @ ( shrK @ A ) @ symKeys ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_sym__shrK) ).
thf(386,plain,
! [A: agent] : ( member @ nat @ ( shrK @ A ) @ symKeys ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(96,axiom,
! [A: list @ event,B: msg] :
( ( member @ msg @ B @ ( parts @ ( knows @ spy @ A ) ) )
=> ( member @ msg @ B @ ( used @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_usedI) ).
thf(446,plain,
! [A: list @ event,B: msg] :
( ( member @ msg @ B @ ( parts @ ( knows @ spy @ A ) ) )
=> ( member @ msg @ B @ ( used @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(7,axiom,
pp @ fTrue,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_pp_2_1_U) ).
thf(143,plain,
pp @ fTrue,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(38,axiom,
~ ( member @ agent @ server @ bad ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_82_Server__not__bad) ).
thf(250,plain,
~ ( member @ agent @ server @ bad ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(107,axiom,
! [A: nat,B: msg,C: nat] :
( ( crypt @ C @ B )
!= ( nonce @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_53_msg_Osimps_I37_J) ).
thf(482,plain,
! [A: nat,B: msg,C: nat] :
( ( crypt @ C @ B )
!= ( nonce @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).
thf(23,axiom,
! [TA: $tType,A: fun @ TA @ bool,B: TA] :
( ( member @ TA @ B @ A )
<=> ( pp @ ( aa1 @ TA @ bool @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_76_mem__def) ).
thf(203,plain,
! [TA: $tType,A: fun @ TA @ bool,B: TA] :
( ( ( member @ TA @ B @ A )
=> ( pp @ ( aa1 @ TA @ bool @ A @ B ) ) )
& ( ( pp @ ( aa1 @ TA @ bool @ A @ B ) )
=> ( member @ TA @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(57,axiom,
! [A: list @ event,B: msg,C: agent,D: agent] :
( ( member @ event @ ( says @ D @ C @ B ) @ ( set @ event @ A ) )
=> ( member @ msg @ B @ ( used @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_66_Says__imp__used) ).
thf(319,plain,
! [A: list @ event,B: msg,C: agent,D: agent] :
( ( member @ event @ ( says @ D @ C @ B ) @ ( set @ event @ A ) )
=> ( member @ msg @ B @ ( used @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(80,axiom,
! [A: agent,B: agent] :
( ( ( shrK @ B )
= ( shrK @ A ) )
<=> ( B = A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_25_shrK__injective) ).
thf(390,plain,
! [A: agent,B: agent] :
( ( ( ( shrK @ B )
= ( shrK @ A ) )
=> ( B = A ) )
& ( ( B = A )
=> ( ( shrK @ B )
= ( shrK @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(56,axiom,
! [A: msg,B: msg,C: agent] :
( ( agent1 @ C )
!= ( mPair @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_48_msg_Osimps_I16_J) ).
thf(315,plain,
! [A: msg,B: msg,C: agent] :
( ( agent1 @ C )
!= ( mPair @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(92,axiom,
! [A: fun @ msg @ bool] :
( ( parts @ ( analz @ A ) )
= ( parts @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13_parts__analz) ).
thf(432,plain,
! [A: fun @ msg @ bool] :
( ( parts @ ( analz @ A ) )
= ( parts @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(83,axiom,
! [A: fun @ msg @ bool,B: msg,C: nat] :
( ( member @ msg @ ( crypt @ C @ B ) @ ( analz @ A ) )
=> ( ( member @ nat @ C @ symKeys )
=> ( ( member @ msg @ ( key @ C ) @ ( analz @ A ) )
=> ( member @ msg @ B @ ( analz @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_68_analz__Decrypt_H) ).
thf(405,plain,
! [A: fun @ msg @ bool,B: msg,C: nat] :
( ( member @ msg @ ( crypt @ C @ B ) @ ( analz @ A ) )
=> ( ( member @ nat @ C @ symKeys )
=> ( ( member @ msg @ ( key @ C ) @ ( analz @ A ) )
=> ( member @ msg @ B @ ( analz @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(60,axiom,
! [A: msg,B: nat,C: msg,D: msg] :
( ( mPair @ D @ C )
!= ( crypt @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_39_msg_Osimps_I48_J) ).
thf(326,plain,
! [A: msg,B: nat,C: msg,D: msg] :
( ( mPair @ D @ C )
!= ( crypt @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(35,axiom,
! [A: list @ event,B: msg,C: nat,D: agent,E: msg,F: agent] :
( ( member @ msg @ ( crypt @ ( shrK @ F ) @ ( mPair @ E @ ( mPair @ ( agent1 @ D ) @ ( mPair @ ( key @ C ) @ B ) ) ) ) @ ( parts @ ( knows @ spy @ A ) ) )
=> ( ~ ( member @ agent @ F @ bad )
=> ( ( member @ ( list @ event ) @ A @ nS_Sha254967238shared )
=> ( member @ event @ ( says @ server @ F @ ( crypt @ ( shrK @ F ) @ ( mPair @ E @ ( mPair @ ( agent1 @ D ) @ ( mPair @ ( key @ C ) @ B ) ) ) ) ) @ ( set @ event @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_70_A__trusts__NS2) ).
thf(242,plain,
! [A: list @ event,B: msg,C: nat,D: agent,E: msg,F: agent] :
( ( member @ msg @ ( crypt @ ( shrK @ F ) @ ( mPair @ E @ ( mPair @ ( agent1 @ D ) @ ( mPair @ ( key @ C ) @ B ) ) ) ) @ ( parts @ ( knows @ spy @ A ) ) )
=> ( ~ ( member @ agent @ F @ bad )
=> ( ( member @ ( list @ event ) @ A @ nS_Sha254967238shared )
=> ( member @ event @ ( says @ server @ F @ ( crypt @ ( shrK @ F ) @ ( mPair @ E @ ( mPair @ ( agent1 @ D ) @ ( mPair @ ( key @ C ) @ B ) ) ) ) ) @ ( set @ event @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(50,axiom,
member @ agent @ spy @ bad,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_80_Spy__in__bad) ).
thf(294,plain,
member @ agent @ spy @ bad,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(65,axiom,
! [A: list @ event,B: msg,C: msg,D: msg,E: msg,F: agent] :
( ( member @ event @ ( says @ server @ F @ ( crypt @ ( shrK @ F ) @ ( mPair @ E @ ( mPair @ D @ ( mPair @ C @ B ) ) ) ) ) @ ( set @ event @ A ) )
=> ( member @ msg @ C @ ( parts @ ( knows @ spy @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_Oops__parts__spies) ).
thf(341,plain,
! [A: list @ event,B: msg,C: msg,D: msg,E: msg,F: agent] :
( ( member @ event @ ( says @ server @ F @ ( crypt @ ( shrK @ F ) @ ( mPair @ E @ ( mPair @ D @ ( mPair @ C @ B ) ) ) ) ) @ ( set @ event @ A ) )
=> ( member @ msg @ C @ ( parts @ ( knows @ spy @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(71,axiom,
! [A: fun @ msg @ bool,B: msg] :
( ( member @ msg @ B @ A )
=> ( member @ msg @ B @ ( analz @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_16_analz_OInj) ).
thf(358,plain,
! [A: fun @ msg @ bool,B: msg] :
( ( member @ msg @ B @ A )
=> ( member @ msg @ B @ ( analz @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(106,axiom,
! [A: agent,B: agent] :
( ( ( agent1 @ B )
= ( agent1 @ A ) )
<=> ( B = A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_24_msg_Osimps_I1_J) ).
thf(474,plain,
! [A: agent,B: agent] :
( ( ( ( agent1 @ B )
= ( agent1 @ A ) )
=> ( B = A ) )
& ( ( B = A )
=> ( ( agent1 @ B )
= ( agent1 @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).
thf(102,axiom,
! [A: list @ event,B: agent] : ( member @ msg @ ( key @ ( shrK @ B ) ) @ ( knows @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6_shrK__in__knows) ).
thf(464,plain,
! [A: list @ event,B: agent] : ( member @ msg @ ( key @ ( shrK @ B ) ) @ ( knows @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).
thf(100,axiom,
! [A: msg,B: nat,C: agent,D: nat,E: agent,F: agent,G: list @ event] :
( ( nS_Sha993195050haredp @ G )
=> ( ( F != server )
=> ( ( member @ event @ ( says @ E @ F @ ( crypt @ ( shrK @ F ) @ ( mPair @ ( nonce @ D ) @ ( mPair @ ( agent1 @ C ) @ ( mPair @ ( key @ B ) @ A ) ) ) ) ) @ ( set @ event @ G ) )
=> ( ( member @ event @ ( says @ F @ server @ ( mPair @ ( agent1 @ F ) @ ( mPair @ ( agent1 @ C ) @ ( nonce @ D ) ) ) ) @ ( set @ event @ G ) )
=> ( nS_Sha993195050haredp @ ( cons @ event @ ( says @ F @ C @ A ) @ G ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_92_ns__sharedp_ONS3) ).
thf(459,plain,
! [A: msg,B: nat,C: agent,D: nat,E: agent,F: agent,G: list @ event] :
( ( nS_Sha993195050haredp @ G )
=> ( ( F != server )
=> ( ( member @ event @ ( says @ E @ F @ ( crypt @ ( shrK @ F ) @ ( mPair @ ( nonce @ D ) @ ( mPair @ ( agent1 @ C ) @ ( mPair @ ( key @ B ) @ A ) ) ) ) ) @ ( set @ event @ G ) )
=> ( ( member @ event @ ( says @ F @ server @ ( mPair @ ( agent1 @ F ) @ ( mPair @ ( agent1 @ C ) @ ( nonce @ D ) ) ) ) @ ( set @ event @ G ) )
=> ( nS_Sha993195050haredp @ ( cons @ event @ ( says @ F @ C @ A ) @ G ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(18,axiom,
! [A: list @ event,B: msg,C: msg] :
( ( member @ msg @ ( mPair @ C @ B ) @ ( used @ A ) )
=> ~ ( ( member @ msg @ C @ ( used @ A ) )
=> ~ ( member @ msg @ B @ ( used @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8_MPair__used) ).
thf(178,plain,
! [A: list @ event,B: msg,C: msg] :
( ( member @ msg @ ( mPair @ C @ B ) @ ( used @ A ) )
=> ~ ( ( member @ msg @ C @ ( used @ A ) )
=> ~ ( member @ msg @ B @ ( used @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(45,axiom,
member @ ( list @ event ) @ evs2 @ nS_Sha254967238shared,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(277,plain,
member @ ( list @ event ) @ evs2 @ nS_Sha254967238shared,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(1,conjecture,
( ( a != aa )
| ( na
!= ( nonce @ nAa ) )
| ( b != ba )
| ( k != kab )
| ( x
!= ( crypt @ ( shrK @ ba ) @ ( mPair @ ( key @ kab ) @ ( agent1 @ aa ) ) ) )
| ~ ( member @ msg @ ( crypt @ kab @ ( nonce @ nb ) ) @ ( parts @ ( knows @ spy @ evs2 ) ) )
| ? [A: agent] : ( member @ event @ ( says @ A @ ba @ ( crypt @ ( shrK @ ba ) @ ( mPair @ ( key @ kab ) @ ( agent1 @ aa ) ) ) ) @ ( set @ event @ evs2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_6) ).
thf(2,negated_conjecture,
~ ( ( a != aa )
| ( na
!= ( nonce @ nAa ) )
| ( b != ba )
| ( k != kab )
| ( x
!= ( crypt @ ( shrK @ ba ) @ ( mPair @ ( key @ kab ) @ ( agent1 @ aa ) ) ) )
| ~ ( member @ msg @ ( crypt @ kab @ ( nonce @ nb ) ) @ ( parts @ ( knows @ spy @ evs2 ) ) )
| ? [A: agent] : ( member @ event @ ( says @ A @ ba @ ( crypt @ ( shrK @ ba ) @ ( mPair @ ( key @ kab ) @ ( agent1 @ aa ) ) ) ) @ ( set @ event @ evs2 ) ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(111,plain,
~ ( ( a != aa )
| ( na
!= ( nonce @ nAa ) )
| ( b != ba )
| ( k != kab )
| ( x
!= ( crypt @ ( shrK @ ba ) @ ( mPair @ ( key @ kab ) @ ( agent1 @ aa ) ) ) )
| ~ ( member @ msg @ ( crypt @ kab @ ( nonce @ nb ) ) @ ( parts @ ( knows @ spy @ evs2 ) ) )
| ? [A: agent] : ( member @ event @ ( says @ A @ ba @ ( crypt @ ( shrK @ ba ) @ ( mPair @ ( key @ kab ) @ ( agent1 @ aa ) ) ) ) @ ( set @ event @ evs2 ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(58,axiom,
! [A: nat,B: agent,C: agent,D: agent,E: nat,F: list @ event] :
( ( member @ ( list @ event ) @ F @ nS_Sha254967238shared )
=> ( ~ ( member @ msg @ ( key @ E ) @ ( used @ F ) )
=> ( ( member @ nat @ E @ symKeys )
=> ( ( member @ event @ ( says @ D @ server @ ( mPair @ ( agent1 @ C ) @ ( mPair @ ( agent1 @ B ) @ ( nonce @ A ) ) ) ) @ ( set @ event @ F ) )
=> ( member @ ( list @ event ) @ ( cons @ event @ ( says @ server @ C @ ( crypt @ ( shrK @ C ) @ ( mPair @ ( nonce @ A ) @ ( mPair @ ( agent1 @ B ) @ ( mPair @ ( key @ E ) @ ( crypt @ ( shrK @ B ) @ ( mPair @ ( key @ E ) @ ( agent1 @ C ) ) ) ) ) ) ) ) @ F ) @ nS_Sha254967238shared ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_72_ns__shared_ONS2) ).
thf(322,plain,
! [A: nat,B: agent,C: agent,D: agent,E: nat,F: list @ event] :
( ( member @ ( list @ event ) @ F @ nS_Sha254967238shared )
=> ( ~ ( member @ msg @ ( key @ E ) @ ( used @ F ) )
=> ( ( member @ nat @ E @ symKeys )
=> ( ( member @ event @ ( says @ D @ server @ ( mPair @ ( agent1 @ C ) @ ( mPair @ ( agent1 @ B ) @ ( nonce @ A ) ) ) ) @ ( set @ event @ F ) )
=> ( member @ ( list @ event ) @ ( cons @ event @ ( says @ server @ C @ ( crypt @ ( shrK @ C ) @ ( mPair @ ( nonce @ A ) @ ( mPair @ ( agent1 @ B ) @ ( mPair @ ( key @ E ) @ ( crypt @ ( shrK @ B ) @ ( mPair @ ( key @ E ) @ ( agent1 @ C ) ) ) ) ) ) ) ) @ F ) @ nS_Sha254967238shared ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(108,axiom,
! [A: msg,B: msg,C: nat] :
( ( key @ C )
!= ( mPair @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_36_msg_Osimps_I40_J) ).
thf(486,plain,
! [A: msg,B: msg,C: nat] :
( ( key @ C )
!= ( mPair @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).
thf(27,axiom,
! [A: msg,B: nat,C: msg,D: nat] :
( ( ( crypt @ D @ C )
= ( crypt @ B @ A ) )
<=> ( ( D = B )
& ( C = A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_22_msg_Osimps_I7_J) ).
thf(215,plain,
! [A: msg,B: nat,C: msg,D: nat] :
( ( ( ( crypt @ D @ C )
= ( crypt @ B @ A ) )
=> ( ( D = B )
& ( C = A ) ) )
& ( ( ( D = B )
& ( C = A ) )
=> ( ( crypt @ D @ C )
= ( crypt @ B @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(73,axiom,
! [A: fun @ msg @ bool,B: msg] :
( ( member @ msg @ B @ A )
=> ( member @ msg @ B @ ( parts @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_20_parts_OInj) ).
thf(364,plain,
! [A: fun @ msg @ bool,B: msg] :
( ( member @ msg @ B @ A )
=> ( member @ msg @ B @ ( parts @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(30,axiom,
! [A: fun @ msg @ bool,B: msg] :
( ( member @ msg @ B @ ( parts @ ( parts @ A ) ) )
=> ( member @ msg @ B @ ( parts @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_29_parts__partsD) ).
thf(232,plain,
! [A: fun @ msg @ bool,B: msg] :
( ( member @ msg @ B @ ( parts @ ( parts @ A ) ) )
=> ( member @ msg @ B @ ( parts @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(535,plain,
$false,
inference(cvc4,[status(thm)],[308,344,457,166,383,138,468,234,472,153,174,185,257,189,416,289,448,443,238,348,353,492,164,411,206,248,439,381,366,334,424,407,429,252,435,324,156,188,388,169,141,420,124,339,244,360,311,398,402,291,281,259,144,466,335,236,181,350,172,274,230,271,213,240,155,330,462,278,455,306,299,226,490,426,162,209,355,295,414,263,370,127,386,446,143,250,482,203,319,390,315,432,405,326,242,294,341,358,474,464,459,178,277,111,322,486,215,364,232]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV763_5 : TPTP v8.1.2. Released v6.0.0.
% 0.12/0.15 % Command : run_Leo-III %s %d
% 0.15/0.36 % Computer : n003.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 19 02:30:16 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.85/0.85 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 1.52/1.04 % [INFO] Parsing done (194ms).
% 1.52/1.05 % [INFO] Running in sequential loop mode.
% 2.20/1.26 % [INFO] eprover registered as external prover.
% 2.20/1.26 % [INFO] cvc4 registered as external prover.
% 2.20/1.27 % [INFO] Scanning for conjecture ...
% 2.52/1.38 % [INFO] Found a conjecture and 108 axioms. Running axiom selection ...
% 2.72/1.46 % [INFO] Axiom selection finished. Selected 108 axioms (removed 0 axioms).
% 3.23/1.59 % [INFO] Problem is typed first-order (TPTP TFF).
% 3.23/1.61 % [INFO] Type checking passed.
% 3.23/1.61 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 7.61/2.83 % External prover 'cvc4' found a proof!
% 7.61/2.83 % [INFO] Killing All external provers ...
% 7.61/2.83 % Time passed: 2306ms (effective reasoning time: 1769ms)
% 7.61/2.83 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 7.61/2.83 % Axioms used in derivation (108): fact_86_ns__shared_ONS1, fact_57_msg_Osimps_I11_J, fact_61_agent_Osimps_I5_J, fact_65_Says__imp__knows, fact_23_msg_Osimps_I3_J, fact_51_msg_Osimps_I12_J, fact_24_msg_Osimps_I1_J, fact_58_msg_Osimps_I10_J, fact_59_MPair__used__D, fact_25_shrK__injective, fact_39_msg_Osimps_I48_J, fact_82_Server__not__bad, fact_40_msg_Osimps_I49_J, fact_43_spies__partsEs_I2_J, fact_99_Notes__imp__knows, fact_18_msg_Osimps_I6_J, fact_92_ns__sharedp_ONS3, fact_45_msg_Osimps_I35_J, fact_33_analz__into__parts, conj_3, fact_22_msg_Osimps_I7_J, fact_19_msg_Osimps_I4_J, fact_46_msg_Osimps_I34_J, fact_26_event_Osimps_I1_J, fact_9_Says__imp__parts__knows__Spy, fact_96_event_Osimps_I3_J, fact_94_ns__sharedp_OOops, fact_17_analz__idem, fact_20_parts_OInj, fact_29_parts__partsD, fact_11_MPair__parts, fact_90_ns__sharedp__ns__shared__eq, fact_66_Says__imp__used, fact_97_event_Osimps_I6_J, fact_87_Spy__analz__shrK, fact_12_analz__parts, fact_71_B__trusts__NS3, fact_91_ns__sharedp_ONS1, fact_60_agent_Osimps_I4_J, fact_41_msg_Osimps_I43_J, fact_13_parts__analz, fact_2_unique__session__keys, fact_67_analz__shrK__Decrypt, fact_0_A__trusts__NS4__lemma, fact_4_usedI, fact_50_msg_Osimps_I31_J, fact_15_analz__disj__parts, conj_2, fact_72_ns__shared_ONS2, fact_5_shrK__in__used, fact_37_parts_OSnd, fact_47_msg_Osimps_I17_J, fact_98_event_Osimps_I7_J, fact_63_shrK__neq, fact_68_analz__Decrypt_H, fact_81_Spy__spies__bad__shrK, fact_14_analz__conj__parts, fact_83_Crypt__imp__keysFor, fact_44_parts_OBody, fact_78_new__keys__not__used, fact_88_ns__sharedp_ONS2, fact_10_Says__imp__analz__Spy, fact_3_NS3__msg__in__parts__spies, fact_64_neq__shrK, fact_93_ns__sharedp_ONS5, fact_42_msg_Osimps_I42_J, fact_70_A__trusts__NS2, fact_38_parts_OFst, fact_49_msg_Osimps_I30_J, fact_84_analz__mono__contra_I1_J, fact_7_sym__shrK, fact_95_ns__shared_OOops, fact_85_Crypt__Spy__analz__bad, fact_36_msg_Osimps_I40_J, fact_16_analz_OInj, fact_76_mem__def, fact_54_msg_Osimps_I36_J, fact_77_ns__shared_ONS3, fact_80_Spy__in__bad, fact_89_ns__sharedp_ONS4, conj_1, fact_35_msg_Osimps_I41_J, fact_21_parts__idem, fact_55_msg_Osimps_I19_J, fact_1_Oops__parts__spies, fact_28_analz__analzD, fact_31_analz_OSnd, fact_53_msg_Osimps_I37_J, fact_56_msg_Osimps_I18_J, fact_27_MPair__analz, fact_73_ns__shared_ONS4, fact_34_not__parts__not__analz, fact_69_Says__imp__spies, fact_32_analz_OFst, help_pp_1_1_U, conj_4, fact_52_msg_Osimps_I13_J, fact_62_analz__impI, fact_48_msg_Osimps_I16_J, fact_8_MPair__used, fact_75_ext, fact_30_symKeys__neq__imp__neq, fact_6_shrK__in__knows, fact_79_Spy__see__shrK, conj_5, fact_74_ns__shared_ONS5, conj_0, help_pp_2_1_U
% 7.61/2.83 % No. of inferences in proof: 220
% 7.61/2.83 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2306 ms resp. 1769 ms w/o parsing
% 8.16/2.91 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 8.16/2.91 % [INFO] Killing All external provers ...
%------------------------------------------------------------------------------