TSTP Solution File: SWV348-2 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SWV348-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n008.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 : 600s
% DateTime : Wed Jul 20 20:12:00 EDT 2022
% Result : Unsatisfiable 1.03s 1.22s
% Output : CNFRefutation 1.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 53
% Syntax : Number of formulae : 227 ( 119 unt; 32 typ; 0 def)
% Number of atoms : 1219 ( 339 equ; 0 cnn)
% Maximal formula atoms : 6 ( 6 avg)
% Number of connectives : 6498 ( 281 ~; 450 |; 0 &;5767 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 6 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 25 ( 25 >; 0 *; 0 +; 0 <<)
% Number of symbols : 35 ( 32 usr; 19 con; 0-3 aty)
% Number of variables : 1105 ( 0 ^1105 !; 0 ?;1105 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_c_Event_Obad,type,
c_Event_Obad: $i ).
thf(tp_c_Event_Oevent_OGets,type,
c_Event_Oevent_OGets: $i > $i > $i ).
thf(tp_c_Event_Oevent_ONotes,type,
c_Event_Oevent_ONotes: $i > $i > $i ).
thf(tp_c_Event_Oevent_OSays,type,
c_Event_Oevent_OSays: $i > $i > $i > $i ).
thf(tp_c_Event_Oknows,type,
c_Event_Oknows: $i > $i > $i ).
thf(tp_c_List_Oset,type,
c_List_Oset: $i > $i > $i ).
thf(tp_c_Message_Oagent_OServer,type,
c_Message_Oagent_OServer: $i ).
thf(tp_c_Message_Oagent_OSpy,type,
c_Message_Oagent_OSpy: $i ).
thf(tp_c_Message_Oanalz,type,
c_Message_Oanalz: $i > $i ).
thf(tp_c_Message_Omsg_OAgent,type,
c_Message_Omsg_OAgent: $i > $i ).
thf(tp_c_Message_Omsg_OCrypt,type,
c_Message_Omsg_OCrypt: $i > $i > $i ).
thf(tp_c_Message_Omsg_OKey,type,
c_Message_Omsg_OKey: $i > $i ).
thf(tp_c_Message_Omsg_OMPair,type,
c_Message_Omsg_OMPair: $i > $i > $i ).
thf(tp_c_Message_Omsg_ONonce,type,
c_Message_Omsg_ONonce: $i > $i ).
thf(tp_c_Message_Oparts,type,
c_Message_Oparts: $i > $i ).
thf(tp_c_Public_OshrK,type,
c_Public_OshrK: $i > $i ).
thf(tp_c_Yahalom_Oyahalom,type,
c_Yahalom_Oyahalom: $i ).
thf(tp_c_in,type,
c_in: $i > $i > $i > $o ).
thf(tp_tc_Event_Oevent,type,
tc_Event_Oevent: $i ).
thf(tp_tc_List_Olist,type,
tc_List_Olist: $i > $i ).
thf(tp_tc_Message_Oagent,type,
tc_Message_Oagent: $i ).
thf(tp_tc_Message_Omsg,type,
tc_Message_Omsg: $i ).
thf(tp_v_A,type,
v_A: $i ).
thf(tp_v_Aa,type,
v_Aa: $i ).
thf(tp_v_B,type,
v_B: $i ).
thf(tp_v_Ba,type,
v_Ba: $i ).
thf(tp_v_K,type,
v_K: $i ).
thf(tp_v_NA,type,
v_NA: $i ).
thf(tp_v_NAa,type,
v_NAa: $i ).
thf(tp_v_NB,type,
v_NB: $i ).
thf(tp_v_X,type,
v_X: $i ).
thf(tp_v_evs4,type,
v_evs4: $i ).
thf(1,axiom,
! [V_evs: $i,V_A: $i,V_B: $i,V_K: $i,V_na: $i,V_nb: $i] :
( ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OKey @ V_K ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ( c_in @ V_B @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ V_na @ ( c_Message_Omsg_OMPair @ V_nb @ ( c_Message_Omsg_OKey @ V_K ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OSpy__not__see__encrypted__key_0) ).
thf(2,axiom,
! [V_evs: $i,V_S_H: $i,V_X_H: $i,V_B_H: $i,V_A_H: $i,V_NA_H: $i,V_nb: $i,V_C: $i,V_S: $i,V_X: $i,V_B: $i,V_A: $i,V_NA: $i] :
( ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OGets @ V_S_H @ ( c_Message_Omsg_OMPair @ V_X_H @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B_H ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A_H ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA_H ) @ V_nb ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ V_C @ V_S @ ( c_Message_Omsg_OMPair @ V_X @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA ) @ V_nb ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ V_nb @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ( V_B_H = V_B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OSays__unique__NB_2) ).
thf(3,axiom,
! [V_evs: $i,V_S_H: $i,V_X_H: $i,V_B_H: $i,V_A_H: $i,V_NA_H: $i,V_nb: $i,V_C: $i,V_S: $i,V_X: $i,V_B: $i,V_A: $i,V_NA: $i] :
( ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OGets @ V_S_H @ ( c_Message_Omsg_OMPair @ V_X_H @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B_H ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A_H ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA_H ) @ V_nb ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ V_C @ V_S @ ( c_Message_Omsg_OMPair @ V_X @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA ) @ V_nb ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ V_nb @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ( V_NA_H = V_NA ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OSays__unique__NB_0) ).
thf(4,axiom,
! [V_evs: $i,V_A: $i,V_B: $i,V_K: $i,V_na: $i,V_nb: $i] :
( ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OKey @ V_K ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OA__trusts__YM3_0) ).
thf(5,axiom,
! [V_A: $i,V_X: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ V_X ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ V_A ) ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_Oanalz__shrK__Decrypt_0) ).
thf(6,axiom,
! [V_evs: $i,V_A: $i,V_B: $i,V_k: $i,V_na: $i,V_nb: $i,V_X: $i] :
( ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ V_k @ ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) @ V_X ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OGets @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OSays__Server__imp__YM2_0) ).
thf(7,axiom,
! [V_evs: $i,V_B: $i,V_X: $i] :
( ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OGets @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ V_X @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OGets__imp__analz__Spy__dest_0) ).
thf(8,axiom,
! [V_A: $i,V_evs: $i] :
( ~ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent )
| ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ V_A ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OSpy__analz__shrK_1) ).
thf(9,axiom,
! [V_X: $i,V_Y: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__analz_1) ).
thf(10,axiom,
! [V_X: $i,V_Y: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_Y @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__analz_0) ).
thf(11,axiom,
! [V_H: $i] :
( ( c_Message_Oparts @ ( c_Message_Oanalz @ V_H ) )
= ( c_Message_Oparts @ V_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts__analz_0) ).
thf(12,axiom,
! [V_X: $i,V_H: $i] :
( ~ ( c_in @ V_X @ V_H @ tc_Message_Omsg )
| ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).
thf(13,axiom,
! [V_X: $i,V_Y: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__parts_1) ).
thf(14,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(15,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[14]) ).
thf(16,negated_conjecture,
c_in @ ( c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4 ) ) @ tc_Message_Omsg,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_11) ).
thf(17,negated_conjecture,
~ ( c_in @ ( c_Message_Omsg_ONonce @ v_NB ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4 ) ) @ tc_Message_Omsg ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_10) ).
thf(18,negated_conjecture,
c_in @ ( c_Event_Oevent_OSays @ v_B @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_B ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NA ) @ ( c_Message_Omsg_ONonce @ v_NB ) ) ) ) ) ) @ ( c_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_9) ).
thf(19,negated_conjecture,
! [V_U: $i] :
~ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NA ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NB ) @ V_U ) ) ) @ ( c_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_8) ).
thf(20,negated_conjecture,
c_in @ ( c_Event_Oevent_OGets @ v_Aa @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_Aa ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_Ba ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NAa ) @ ( c_Message_Omsg_ONonce @ v_NB ) ) ) ) ) @ v_X ) ) @ ( c_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
thf(21,negated_conjecture,
c_in @ v_evs4 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
thf(22,negated_conjecture,
~ ( c_in @ v_B @ c_Event_Obad @ tc_Message_Oagent ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
thf(23,plain,
$false = $false,
inference(unfold_def,[status(thm)],[15]) ).
thf(24,plain,
( ( ! [V_evs: $i,V_A: $i,V_B: $i,V_K: $i,V_na: $i,V_nb: $i] :
( ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OKey @ V_K ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ( c_in @ V_B @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ V_na @ ( c_Message_Omsg_OMPair @ V_nb @ ( c_Message_Omsg_OKey @ V_K ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(25,plain,
( ( ! [V_evs: $i,V_S_H: $i,V_X_H: $i,V_B_H: $i,V_A_H: $i,V_NA_H: $i,V_nb: $i,V_C: $i,V_S: $i,V_X: $i,V_B: $i,V_A: $i,V_NA: $i] :
( ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OGets @ V_S_H @ ( c_Message_Omsg_OMPair @ V_X_H @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B_H ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A_H ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA_H ) @ V_nb ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ V_C @ V_S @ ( c_Message_Omsg_OMPair @ V_X @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA ) @ V_nb ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ V_nb @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ( V_B_H = V_B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(26,plain,
( ( ! [V_evs: $i,V_S_H: $i,V_X_H: $i,V_B_H: $i,V_A_H: $i,V_NA_H: $i,V_nb: $i,V_C: $i,V_S: $i,V_X: $i,V_B: $i,V_A: $i,V_NA: $i] :
( ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OGets @ V_S_H @ ( c_Message_Omsg_OMPair @ V_X_H @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B_H ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A_H ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA_H ) @ V_nb ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ V_C @ V_S @ ( c_Message_Omsg_OMPair @ V_X @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA ) @ V_nb ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ V_nb @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ( V_NA_H = V_NA ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(27,plain,
( ( ! [V_evs: $i,V_A: $i,V_B: $i,V_K: $i,V_na: $i,V_nb: $i] :
( ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OKey @ V_K ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(28,plain,
( ( ! [V_A: $i,V_X: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ V_X ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ V_A ) ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(29,plain,
( ( ! [V_evs: $i,V_A: $i,V_B: $i,V_k: $i,V_na: $i,V_nb: $i,V_X: $i] :
( ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ V_k @ ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) @ V_X ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OGets @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(30,plain,
( ( ! [V_evs: $i,V_B: $i,V_X: $i] :
( ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OGets @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ V_X @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(31,plain,
( ( ! [V_A: $i,V_evs: $i] :
( ~ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent )
| ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ V_A ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(32,plain,
( ( ! [V_X: $i,V_Y: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(33,plain,
( ( ! [V_X: $i,V_Y: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_Y @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(34,plain,
( ( ! [V_H: $i] :
( ( c_Message_Oparts @ ( c_Message_Oanalz @ V_H ) )
= ( c_Message_Oparts @ V_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(35,plain,
( ( ! [V_X: $i,V_H: $i] :
( ~ ( c_in @ V_X @ V_H @ tc_Message_Omsg )
| ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(36,plain,
( ( ! [V_X: $i,V_Y: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(37,plain,
( ( c_in @ ( c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4 ) ) @ tc_Message_Omsg )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(38,plain,
( ( ~ ( c_in @ ( c_Message_Omsg_ONonce @ v_NB ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4 ) ) @ tc_Message_Omsg ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(39,plain,
( ( c_in @ ( c_Event_Oevent_OSays @ v_B @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_B ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NA ) @ ( c_Message_Omsg_ONonce @ v_NB ) ) ) ) ) ) @ ( c_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(40,plain,
( ( ! [V_U: $i] :
~ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NA ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NB ) @ V_U ) ) ) @ ( c_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(41,plain,
( ( c_in @ ( c_Event_Oevent_OGets @ v_Aa @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_Aa ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_Ba ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NAa ) @ ( c_Message_Omsg_ONonce @ v_NB ) ) ) ) ) @ v_X ) ) @ ( c_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(42,plain,
( ( c_in @ v_evs4 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(43,plain,
( ( ~ ( c_in @ v_B @ c_Event_Obad @ tc_Message_Oagent ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(44,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[23]) ).
thf(45,plain,
( ( ! [V_evs: $i,V_A: $i,V_B: $i,V_K: $i] :
( ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [V_na: $i,V_nb: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OKey @ V_K ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ( c_in @ V_B @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ V_na @ ( c_Message_Omsg_OMPair @ V_nb @ ( c_Message_Omsg_OKey @ V_K ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[24]) ).
thf(46,plain,
( ( ! [V_evs: $i,V_S_H: $i,V_X_H: $i,V_B_H: $i,V_A_H: $i,V_NA_H: $i,V_nb: $i,V_C: $i,V_S: $i,V_X: $i,V_B: $i] :
( ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OGets @ V_S_H @ ( c_Message_Omsg_OMPair @ V_X_H @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B_H ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A_H ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA_H ) @ V_nb ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [V_A: $i,V_NA: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ V_C @ V_S @ ( c_Message_Omsg_OMPair @ V_X @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA ) @ V_nb ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( V_B_H = V_B )
| ( c_in @ V_nb @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[25]) ).
thf(47,plain,
( ( ! [V_evs: $i,V_S_H: $i,V_X_H: $i,V_B_H: $i,V_A_H: $i,V_NA_H: $i,V_nb: $i,V_C: $i,V_S: $i,V_X: $i,V_B: $i] :
( ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OGets @ V_S_H @ ( c_Message_Omsg_OMPair @ V_X_H @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B_H ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A_H ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA_H ) @ V_nb ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [V_A: $i,V_NA: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ V_C @ V_S @ ( c_Message_Omsg_OMPair @ V_X @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA ) @ V_nb ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( V_NA_H = V_NA )
| ( c_in @ V_nb @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[26]) ).
thf(48,plain,
( ( ! [V_evs: $i,V_A: $i,V_B: $i,V_K: $i] :
( ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [V_na: $i,V_nb: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OKey @ V_K ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[27]) ).
thf(49,plain,
( ( ! [V_evs: $i,V_A: $i,V_B: $i,V_k: $i,V_na: $i] :
( ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [V_nb: $i] :
( ! [V_X: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ V_k @ ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) @ V_X ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OGets @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[29]) ).
thf(50,plain,
( ( ! [V_evs: $i] :
( ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [V_B: $i,V_X: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OGets @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ V_X @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[30]) ).
thf(51,plain,
( ( ! [V_A: $i] :
( ~ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent )
| ! [V_evs: $i] :
( ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ V_A ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[31]) ).
thf(52,plain,
( ( ~ ( c_in @ v_B @ c_Event_Obad @ tc_Message_Oagent ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(53,plain,
( ( c_in @ v_evs4 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(54,plain,
( ( c_in @ ( c_Event_Oevent_OGets @ v_Aa @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_Aa ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_Ba ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NAa ) @ ( c_Message_Omsg_ONonce @ v_NB ) ) ) ) ) @ v_X ) ) @ ( c_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(55,plain,
( ( ! [V_U: $i] :
~ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NA ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NB ) @ V_U ) ) ) @ ( c_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(56,plain,
( ( c_in @ ( c_Event_Oevent_OSays @ v_B @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_B ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NA ) @ ( c_Message_Omsg_ONonce @ v_NB ) ) ) ) ) ) @ ( c_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(57,plain,
( ( ~ ( c_in @ ( c_Message_Omsg_ONonce @ v_NB ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4 ) ) @ tc_Message_Omsg ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(58,plain,
( ( c_in @ ( c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4 ) ) @ tc_Message_Omsg )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(59,plain,
( ( ! [V_X: $i,V_Y: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(60,plain,
( ( ! [V_X: $i,V_H: $i] :
( ~ ( c_in @ V_X @ V_H @ tc_Message_Omsg )
| ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(61,plain,
( ( ! [V_H: $i] :
( ( c_Message_Oparts @ ( c_Message_Oanalz @ V_H ) )
= ( c_Message_Oparts @ V_H ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(62,plain,
( ( ! [V_X: $i,V_Y: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_Y @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[33]) ).
thf(63,plain,
( ( ! [V_X: $i,V_Y: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[32]) ).
thf(64,plain,
( ( ! [V_A: $i] :
( ~ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent )
| ! [V_evs: $i] :
( ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ V_A ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[51]) ).
thf(65,plain,
( ( ! [V_evs: $i] :
( ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [V_B: $i,V_X: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OGets @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ V_X @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[50]) ).
thf(66,plain,
( ( ! [V_evs: $i,V_A: $i,V_B: $i,V_k: $i,V_na: $i] :
( ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [V_nb: $i] :
( ! [V_X: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ V_k @ ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) @ V_X ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OGets @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(67,plain,
( ( ! [V_A: $i,V_X: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ V_X ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ V_A ) ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(68,plain,
( ( ! [V_evs: $i,V_A: $i,V_B: $i,V_K: $i] :
( ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [V_na: $i,V_nb: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OKey @ V_K ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(69,plain,
( ( ! [V_evs: $i,V_S_H: $i,V_X_H: $i,V_B_H: $i,V_A_H: $i,V_NA_H: $i,V_nb: $i,V_C: $i,V_S: $i,V_X: $i,V_B: $i] :
( ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OGets @ V_S_H @ ( c_Message_Omsg_OMPair @ V_X_H @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B_H ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A_H ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA_H ) @ V_nb ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [V_A: $i,V_NA: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ V_C @ V_S @ ( c_Message_Omsg_OMPair @ V_X @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA ) @ V_nb ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( V_NA_H = V_NA )
| ( c_in @ V_nb @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(70,plain,
( ( ! [V_evs: $i,V_S_H: $i,V_X_H: $i,V_B_H: $i,V_A_H: $i,V_NA_H: $i,V_nb: $i,V_C: $i,V_S: $i,V_X: $i,V_B: $i] :
( ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OGets @ V_S_H @ ( c_Message_Omsg_OMPair @ V_X_H @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B_H ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A_H ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA_H ) @ V_nb ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [V_A: $i,V_NA: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ V_C @ V_S @ ( c_Message_Omsg_OMPair @ V_X @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA ) @ V_nb ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( V_B_H = V_B )
| ( c_in @ V_nb @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(71,plain,
( ( ! [V_evs: $i,V_A: $i,V_B: $i,V_K: $i] :
( ~ ( c_in @ V_evs @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [V_na: $i,V_nb: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OMPair @ V_na @ V_nb ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OKey @ V_K ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ( c_in @ V_B @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ V_na @ ( c_Message_Omsg_OMPair @ V_nb @ ( c_Message_Omsg_OKey @ V_K ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(72,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(73,plain,
( ( c_in @ v_B @ c_Event_Obad @ tc_Message_Oagent )
= $false ),
inference(extcnf_not_pos,[status(thm)],[52]) ).
thf(74,plain,
! [SV1: $i] :
( ( ~ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NA ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NB ) @ SV1 ) ) ) @ ( c_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(75,plain,
( ( c_in @ ( c_Message_Omsg_ONonce @ v_NB ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4 ) ) @ tc_Message_Omsg )
= $false ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(76,plain,
! [SV2: $i] :
( ( ! [SY66: $i,SY67: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV2 @ SY66 ) @ ( c_Message_Oparts @ SY67 ) @ tc_Message_Omsg )
| ( c_in @ SV2 @ ( c_Message_Oparts @ SY67 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(77,plain,
! [SV3: $i] :
( ( ! [SY68: $i] :
( ~ ( c_in @ SV3 @ SY68 @ tc_Message_Omsg )
| ( c_in @ SV3 @ ( c_Message_Oparts @ SY68 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(78,plain,
! [SV4: $i] :
( ( ( c_Message_Oparts @ ( c_Message_Oanalz @ SV4 ) )
= ( c_Message_Oparts @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(79,plain,
! [SV5: $i] :
( ( ! [SY69: $i,SY70: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV5 @ SY69 ) @ ( c_Message_Oanalz @ SY70 ) @ tc_Message_Omsg )
| ( c_in @ SY69 @ ( c_Message_Oanalz @ SY70 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(80,plain,
! [SV6: $i] :
( ( ! [SY71: $i,SY72: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV6 @ SY71 ) @ ( c_Message_Oanalz @ SY72 ) @ tc_Message_Omsg )
| ( c_in @ SV6 @ ( c_Message_Oanalz @ SY72 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(81,plain,
! [SV7: $i] :
( ( ~ ( c_in @ SV7 @ c_Event_Obad @ tc_Message_Oagent )
| ! [SY73: $i] :
( ~ ( c_in @ SY73 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ SV7 ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY73 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(82,plain,
! [SV8: $i] :
( ( ~ ( c_in @ SV8 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [SY74: $i,SY75: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OGets @ SY74 @ SY75 ) @ ( c_List_Oset @ SV8 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ SY75 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV8 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(83,plain,
! [SV9: $i] :
( ( ! [SY76: $i,SY77: $i,SY78: $i,SY79: $i] :
( ~ ( c_in @ SV9 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [SY80: $i] :
( ! [SY81: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY76 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY76 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY77 ) @ ( c_Message_Omsg_OMPair @ SY78 @ ( c_Message_Omsg_OMPair @ SY79 @ SY80 ) ) ) ) @ SY81 ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OGets @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY77 ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY77 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY76 ) @ ( c_Message_Omsg_OMPair @ SY79 @ SY80 ) ) ) ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(84,plain,
! [SV10: $i] :
( ( ! [SY82: $i,SY83: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV10 ) @ SY82 ) @ ( c_Message_Oanalz @ SY83 ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ SV10 ) ) @ ( c_Message_Oanalz @ SY83 ) @ tc_Message_Omsg )
| ( c_in @ SY82 @ ( c_Message_Oanalz @ SY83 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(85,plain,
! [SV11: $i] :
( ( ! [SY84: $i,SY85: $i,SY86: $i] :
( ~ ( c_in @ SV11 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [SY87: $i,SY88: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY84 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY85 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SY86 ) @ ( c_Message_Omsg_OMPair @ SY87 @ SY88 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV11 ) ) @ tc_Message_Omsg )
| ( c_in @ SY84 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY84 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY84 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY85 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SY86 ) @ ( c_Message_Omsg_OMPair @ SY87 @ SY88 ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY85 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY84 ) @ ( c_Message_Omsg_OKey @ SY86 ) ) ) ) ) @ ( c_List_Oset @ SV11 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(86,plain,
! [SV12: $i] :
( ( ! [SY89: $i,SY90: $i,SY91: $i,SY92: $i,SY93: $i,SY94: $i,SY95: $i,SY96: $i,SY97: $i,SY98: $i] :
( ~ ( c_in @ SV12 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OGets @ SY89 @ ( c_Message_Omsg_OMPair @ SY90 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY91 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY92 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY93 ) @ SY94 ) ) ) ) ) @ ( c_List_Oset @ SV12 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [SY99: $i,SY100: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ SY95 @ SY96 @ ( c_Message_Omsg_OMPair @ SY97 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY98 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY99 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY100 ) @ SY94 ) ) ) ) ) @ ( c_List_Oset @ SV12 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SY93 = SY100 )
| ( c_in @ SY94 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV12 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(87,plain,
! [SV13: $i] :
( ( ! [SY101: $i,SY102: $i,SY103: $i,SY104: $i,SY105: $i,SY106: $i,SY107: $i,SY108: $i,SY109: $i,SY110: $i] :
( ~ ( c_in @ SV13 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OGets @ SY101 @ ( c_Message_Omsg_OMPair @ SY102 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY103 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY104 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY105 ) @ SY106 ) ) ) ) ) @ ( c_List_Oset @ SV13 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [SY111: $i,SY112: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ SY107 @ SY108 @ ( c_Message_Omsg_OMPair @ SY109 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY110 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY111 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY112 ) @ SY106 ) ) ) ) ) @ ( c_List_Oset @ SV13 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SY103 = SY110 )
| ( c_in @ SY106 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV13 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[70]) ).
thf(88,plain,
! [SV14: $i] :
( ( ! [SY113: $i,SY114: $i,SY115: $i] :
( ~ ( c_in @ SV14 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [SY116: $i,SY117: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY113 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY113 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY114 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SY115 ) @ ( c_Message_Omsg_OMPair @ SY116 @ SY117 ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY114 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY113 ) @ ( c_Message_Omsg_OKey @ SY115 ) ) ) ) ) @ ( c_List_Oset @ SV14 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Message_Omsg_OKey @ SY115 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV14 ) ) @ tc_Message_Omsg )
| ( c_in @ SY114 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ SY113 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SY116 @ ( c_Message_Omsg_OMPair @ SY117 @ ( c_Message_Omsg_OKey @ SY115 ) ) ) ) @ ( c_List_Oset @ SV14 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[71]) ).
thf(89,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(90,plain,
! [SV1: $i] :
( ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NA ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NB ) @ SV1 ) ) ) @ ( c_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false ),
inference(extcnf_not_pos,[status(thm)],[74]) ).
thf(91,plain,
! [SV15: $i,SV2: $i] :
( ( ! [SY118: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV2 @ SV15 ) @ ( c_Message_Oparts @ SY118 ) @ tc_Message_Omsg )
| ( c_in @ SV2 @ ( c_Message_Oparts @ SY118 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(92,plain,
! [SV16: $i,SV3: $i] :
( ( ~ ( c_in @ SV3 @ SV16 @ tc_Message_Omsg )
| ( c_in @ SV3 @ ( c_Message_Oparts @ SV16 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(93,plain,
! [SV17: $i,SV5: $i] :
( ( ! [SY119: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV5 @ SV17 ) @ ( c_Message_Oanalz @ SY119 ) @ tc_Message_Omsg )
| ( c_in @ SV17 @ ( c_Message_Oanalz @ SY119 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(94,plain,
! [SV18: $i,SV6: $i] :
( ( ! [SY120: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV6 @ SV18 ) @ ( c_Message_Oanalz @ SY120 ) @ tc_Message_Omsg )
| ( c_in @ SV6 @ ( c_Message_Oanalz @ SY120 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(95,plain,
! [SV7: $i] :
( ( ( ~ ( c_in @ SV7 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true )
| ( ( ! [SY73: $i] :
( ~ ( c_in @ SY73 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ SV7 ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY73 ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[81]) ).
thf(96,plain,
! [SV8: $i] :
( ( ( ~ ( c_in @ SV8 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true )
| ( ( ! [SY74: $i,SY75: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OGets @ SY74 @ SY75 ) @ ( c_List_Oset @ SV8 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ SY75 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV8 ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[82]) ).
thf(97,plain,
! [SV19: $i,SV9: $i] :
( ( ! [SY121: $i,SY122: $i,SY123: $i] :
( ~ ( c_in @ SV9 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [SY124: $i] :
( ! [SY125: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV19 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV19 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY121 ) @ ( c_Message_Omsg_OMPair @ SY122 @ ( c_Message_Omsg_OMPair @ SY123 @ SY124 ) ) ) ) @ SY125 ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OGets @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY121 ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY121 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV19 ) @ ( c_Message_Omsg_OMPair @ SY123 @ SY124 ) ) ) ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(98,plain,
! [SV20: $i,SV10: $i] :
( ( ! [SY126: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV10 ) @ SV20 ) @ ( c_Message_Oanalz @ SY126 ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ SV10 ) ) @ ( c_Message_Oanalz @ SY126 ) @ tc_Message_Omsg )
| ( c_in @ SV20 @ ( c_Message_Oanalz @ SY126 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(99,plain,
! [SV21: $i,SV11: $i] :
( ( ! [SY127: $i,SY128: $i] :
( ~ ( c_in @ SV11 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [SY129: $i,SY130: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV21 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY127 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SY128 ) @ ( c_Message_Omsg_OMPair @ SY129 @ SY130 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV11 ) ) @ tc_Message_Omsg )
| ( c_in @ SV21 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV21 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV21 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY127 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SY128 ) @ ( c_Message_Omsg_OMPair @ SY129 @ SY130 ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY127 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV21 ) @ ( c_Message_Omsg_OKey @ SY128 ) ) ) ) ) @ ( c_List_Oset @ SV11 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[85]) ).
thf(100,plain,
! [SV22: $i,SV12: $i] :
( ( ! [SY131: $i,SY132: $i,SY133: $i,SY134: $i,SY135: $i,SY136: $i,SY137: $i,SY138: $i,SY139: $i] :
( ~ ( c_in @ SV12 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OGets @ SV22 @ ( c_Message_Omsg_OMPair @ SY131 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY132 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY133 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY134 ) @ SY135 ) ) ) ) ) @ ( c_List_Oset @ SV12 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [SY99: $i,SY100: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ SY136 @ SY137 @ ( c_Message_Omsg_OMPair @ SY138 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY139 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY99 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY100 ) @ SY135 ) ) ) ) ) @ ( c_List_Oset @ SV12 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SY134 = SY100 )
| ( c_in @ SY135 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV12 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[86]) ).
thf(101,plain,
! [SV23: $i,SV13: $i] :
( ( ! [SY142: $i,SY143: $i,SY144: $i,SY145: $i,SY146: $i,SY147: $i,SY148: $i,SY149: $i,SY150: $i] :
( ~ ( c_in @ SV13 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OGets @ SV23 @ ( c_Message_Omsg_OMPair @ SY142 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY143 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY144 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY145 ) @ SY146 ) ) ) ) ) @ ( c_List_Oset @ SV13 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [SY111: $i,SY112: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ SY147 @ SY148 @ ( c_Message_Omsg_OMPair @ SY149 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY150 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY111 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY112 ) @ SY146 ) ) ) ) ) @ ( c_List_Oset @ SV13 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SY143 = SY150 )
| ( c_in @ SY146 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV13 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(102,plain,
! [SV24: $i,SV14: $i] :
( ( ! [SY153: $i,SY154: $i] :
( ~ ( c_in @ SV14 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [SY155: $i,SY156: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV24 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV24 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY153 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SY154 ) @ ( c_Message_Omsg_OMPair @ SY155 @ SY156 ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY153 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV24 ) @ ( c_Message_Omsg_OKey @ SY154 ) ) ) ) ) @ ( c_List_Oset @ SV14 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Message_Omsg_OKey @ SY154 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV14 ) ) @ tc_Message_Omsg )
| ( c_in @ SY153 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ SV24 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SY155 @ ( c_Message_Omsg_OMPair @ SY156 @ ( c_Message_Omsg_OKey @ SY154 ) ) ) ) @ ( c_List_Oset @ SV14 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(103,plain,
! [SV25: $i,SV15: $i,SV2: $i] :
( ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV2 @ SV15 ) @ ( c_Message_Oparts @ SV25 ) @ tc_Message_Omsg )
| ( c_in @ SV2 @ ( c_Message_Oparts @ SV25 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(104,plain,
! [SV16: $i,SV3: $i] :
( ( ( ~ ( c_in @ SV3 @ SV16 @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV3 @ ( c_Message_Oparts @ SV16 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[92]) ).
thf(105,plain,
! [SV26: $i,SV17: $i,SV5: $i] :
( ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV5 @ SV17 ) @ ( c_Message_Oanalz @ SV26 ) @ tc_Message_Omsg )
| ( c_in @ SV17 @ ( c_Message_Oanalz @ SV26 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(106,plain,
! [SV27: $i,SV18: $i,SV6: $i] :
( ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV6 @ SV18 ) @ ( c_Message_Oanalz @ SV27 ) @ tc_Message_Omsg )
| ( c_in @ SV6 @ ( c_Message_Oanalz @ SV27 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(107,plain,
! [SV7: $i] :
( ( ( c_in @ SV7 @ c_Event_Obad @ tc_Message_Oagent )
= $false )
| ( ( ! [SY73: $i] :
( ~ ( c_in @ SY73 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ SV7 ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY73 ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(108,plain,
! [SV8: $i] :
( ( ( c_in @ SV8 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false )
| ( ( ! [SY74: $i,SY75: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OGets @ SY74 @ SY75 ) @ ( c_List_Oset @ SV8 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ SY75 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV8 ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(109,plain,
! [SV28: $i,SV19: $i,SV9: $i] :
( ( ! [SY157: $i,SY158: $i] :
( ~ ( c_in @ SV9 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [SY159: $i] :
( ! [SY160: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV19 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV19 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV28 ) @ ( c_Message_Omsg_OMPair @ SY157 @ ( c_Message_Omsg_OMPair @ SY158 @ SY159 ) ) ) ) @ SY160 ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OGets @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV28 ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV28 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV19 ) @ ( c_Message_Omsg_OMPair @ SY158 @ SY159 ) ) ) ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(110,plain,
! [SV29: $i,SV20: $i,SV10: $i] :
( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV10 ) @ SV20 ) @ ( c_Message_Oanalz @ SV29 ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ SV10 ) ) @ ( c_Message_Oanalz @ SV29 ) @ tc_Message_Omsg )
| ( c_in @ SV20 @ ( c_Message_Oanalz @ SV29 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[98]) ).
thf(111,plain,
! [SV30: $i,SV21: $i,SV11: $i] :
( ( ! [SY161: $i] :
( ~ ( c_in @ SV11 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [SY162: $i,SY163: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV21 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV30 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SY161 ) @ ( c_Message_Omsg_OMPair @ SY162 @ SY163 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV11 ) ) @ tc_Message_Omsg )
| ( c_in @ SV21 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV21 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV21 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV30 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SY161 ) @ ( c_Message_Omsg_OMPair @ SY162 @ SY163 ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV30 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV21 ) @ ( c_Message_Omsg_OKey @ SY161 ) ) ) ) ) @ ( c_List_Oset @ SV11 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(112,plain,
! [SV31: $i,SV22: $i,SV12: $i] :
( ( ! [SY164: $i,SY165: $i,SY166: $i,SY167: $i,SY168: $i,SY169: $i,SY170: $i,SY171: $i] :
( ~ ( c_in @ SV12 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OGets @ SV22 @ ( c_Message_Omsg_OMPair @ SV31 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY164 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY165 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY166 ) @ SY167 ) ) ) ) ) @ ( c_List_Oset @ SV12 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [SY99: $i,SY100: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ SY168 @ SY169 @ ( c_Message_Omsg_OMPair @ SY170 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY171 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY99 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY100 ) @ SY167 ) ) ) ) ) @ ( c_List_Oset @ SV12 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SY166 = SY100 )
| ( c_in @ SY167 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV12 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[100]) ).
thf(113,plain,
! [SV32: $i,SV23: $i,SV13: $i] :
( ( ! [SY174: $i,SY175: $i,SY176: $i,SY177: $i,SY178: $i,SY179: $i,SY180: $i,SY181: $i] :
( ~ ( c_in @ SV13 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OGets @ SV23 @ ( c_Message_Omsg_OMPair @ SV32 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY174 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY175 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY176 ) @ SY177 ) ) ) ) ) @ ( c_List_Oset @ SV13 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [SY111: $i,SY112: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ SY178 @ SY179 @ ( c_Message_Omsg_OMPair @ SY180 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY181 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY111 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY112 ) @ SY177 ) ) ) ) ) @ ( c_List_Oset @ SV13 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SY174 = SY181 )
| ( c_in @ SY177 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV13 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(114,plain,
! [SV33: $i,SV24: $i,SV14: $i] :
( ( ! [SY184: $i] :
( ~ ( c_in @ SV14 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [SY185: $i,SY186: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV24 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV24 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV33 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SY184 ) @ ( c_Message_Omsg_OMPair @ SY185 @ SY186 ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV33 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV24 ) @ ( c_Message_Omsg_OKey @ SY184 ) ) ) ) ) @ ( c_List_Oset @ SV14 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Message_Omsg_OKey @ SY184 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV14 ) ) @ tc_Message_Omsg )
| ( c_in @ SV33 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ SV24 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SY185 @ ( c_Message_Omsg_OMPair @ SY186 @ ( c_Message_Omsg_OKey @ SY184 ) ) ) ) @ ( c_List_Oset @ SV14 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(115,plain,
! [SV25: $i,SV15: $i,SV2: $i] :
( ( ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV2 @ SV15 ) @ ( c_Message_Oparts @ SV25 ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV2 @ ( c_Message_Oparts @ SV25 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[103]) ).
thf(116,plain,
! [SV16: $i,SV3: $i] :
( ( ( c_in @ SV3 @ SV16 @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV3 @ ( c_Message_Oparts @ SV16 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(117,plain,
! [SV26: $i,SV17: $i,SV5: $i] :
( ( ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV5 @ SV17 ) @ ( c_Message_Oanalz @ SV26 ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV17 @ ( c_Message_Oanalz @ SV26 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(118,plain,
! [SV27: $i,SV18: $i,SV6: $i] :
( ( ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV6 @ SV18 ) @ ( c_Message_Oanalz @ SV27 ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV6 @ ( c_Message_Oanalz @ SV27 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[106]) ).
thf(119,plain,
! [SV7: $i,SV34: $i] :
( ( ( ~ ( c_in @ SV34 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ SV7 ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV34 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV7 @ c_Event_Obad @ tc_Message_Oagent )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[107]) ).
thf(120,plain,
! [SV8: $i,SV35: $i] :
( ( ( ! [SY187: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OGets @ SV35 @ SY187 ) @ ( c_List_Oset @ SV8 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ SY187 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV8 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( c_in @ SV8 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[108]) ).
thf(121,plain,
! [SV36: $i,SV28: $i,SV19: $i,SV9: $i] :
( ( ! [SY188: $i] :
( ~ ( c_in @ SV9 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [SY189: $i] :
( ! [SY190: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV19 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV19 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV28 ) @ ( c_Message_Omsg_OMPair @ SV36 @ ( c_Message_Omsg_OMPair @ SY188 @ SY189 ) ) ) ) @ SY190 ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OGets @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV28 ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV28 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV19 ) @ ( c_Message_Omsg_OMPair @ SY188 @ SY189 ) ) ) ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(122,plain,
! [SV29: $i,SV20: $i,SV10: $i] :
( ( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV10 ) @ SV20 ) @ ( c_Message_Oanalz @ SV29 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ SV10 ) ) @ ( c_Message_Oanalz @ SV29 ) @ tc_Message_Omsg )
| ( c_in @ SV20 @ ( c_Message_Oanalz @ SV29 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(123,plain,
! [SV37: $i,SV30: $i,SV21: $i,SV11: $i] :
( ( ~ ( c_in @ SV11 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [SY191: $i,SY192: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV21 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV30 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV37 ) @ ( c_Message_Omsg_OMPair @ SY191 @ SY192 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV11 ) ) @ tc_Message_Omsg )
| ( c_in @ SV21 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV21 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV21 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV30 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV37 ) @ ( c_Message_Omsg_OMPair @ SY191 @ SY192 ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV30 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV21 ) @ ( c_Message_Omsg_OKey @ SV37 ) ) ) ) ) @ ( c_List_Oset @ SV11 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(124,plain,
! [SV38: $i,SV31: $i,SV22: $i,SV12: $i] :
( ( ! [SY193: $i,SY194: $i,SY195: $i,SY196: $i,SY197: $i,SY198: $i,SY199: $i] :
( ~ ( c_in @ SV12 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OGets @ SV22 @ ( c_Message_Omsg_OMPair @ SV31 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV38 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY193 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY194 ) @ SY195 ) ) ) ) ) @ ( c_List_Oset @ SV12 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [SY99: $i,SY100: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ SY196 @ SY197 @ ( c_Message_Omsg_OMPair @ SY198 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY199 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY99 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY100 ) @ SY195 ) ) ) ) ) @ ( c_List_Oset @ SV12 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SY194 = SY100 )
| ( c_in @ SY195 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV12 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[112]) ).
thf(125,plain,
! [SV39: $i,SV32: $i,SV23: $i,SV13: $i] :
( ( ! [SY202: $i,SY203: $i,SY204: $i,SY205: $i,SY206: $i,SY207: $i,SY208: $i] :
( ~ ( c_in @ SV13 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OGets @ SV23 @ ( c_Message_Omsg_OMPair @ SV32 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV39 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY202 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY203 ) @ SY204 ) ) ) ) ) @ ( c_List_Oset @ SV13 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [SY111: $i,SY112: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ SY205 @ SY206 @ ( c_Message_Omsg_OMPair @ SY207 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY208 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY111 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY112 ) @ SY204 ) ) ) ) ) @ ( c_List_Oset @ SV13 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV39 = SY208 )
| ( c_in @ SY204 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV13 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(126,plain,
! [SV40: $i,SV33: $i,SV24: $i,SV14: $i] :
( ( ~ ( c_in @ SV14 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [SY211: $i,SY212: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV24 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV24 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV33 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV40 ) @ ( c_Message_Omsg_OMPair @ SY211 @ SY212 ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV33 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV24 ) @ ( c_Message_Omsg_OKey @ SV40 ) ) ) ) ) @ ( c_List_Oset @ SV14 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Message_Omsg_OKey @ SV40 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV14 ) ) @ tc_Message_Omsg )
| ( c_in @ SV33 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ SV24 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SY211 @ ( c_Message_Omsg_OMPair @ SY212 @ ( c_Message_Omsg_OKey @ SV40 ) ) ) ) @ ( c_List_Oset @ SV14 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(127,plain,
! [SV25: $i,SV15: $i,SV2: $i] :
( ( ( c_in @ ( c_Message_Omsg_OMPair @ SV2 @ SV15 ) @ ( c_Message_Oparts @ SV25 ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV2 @ ( c_Message_Oparts @ SV25 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(128,plain,
! [SV26: $i,SV17: $i,SV5: $i] :
( ( ( c_in @ ( c_Message_Omsg_OMPair @ SV5 @ SV17 ) @ ( c_Message_Oanalz @ SV26 ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV17 @ ( c_Message_Oanalz @ SV26 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(129,plain,
! [SV27: $i,SV18: $i,SV6: $i] :
( ( ( c_in @ ( c_Message_Omsg_OMPair @ SV6 @ SV18 ) @ ( c_Message_Oanalz @ SV27 ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV6 @ ( c_Message_Oanalz @ SV27 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[118]) ).
thf(130,plain,
! [SV7: $i,SV34: $i] :
( ( ( ~ ( c_in @ SV34 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true )
| ( ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ SV7 ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV34 ) ) @ tc_Message_Omsg )
= $true )
| ( ( c_in @ SV7 @ c_Event_Obad @ tc_Message_Oagent )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[119]) ).
thf(131,plain,
! [SV8: $i,SV41: $i,SV35: $i] :
( ( ( ~ ( c_in @ ( c_Event_Oevent_OGets @ SV35 @ SV41 ) @ ( c_List_Oset @ SV8 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ SV41 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV8 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV8 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[120]) ).
thf(132,plain,
! [SV42: $i,SV36: $i,SV28: $i,SV19: $i,SV9: $i] :
( ( ~ ( c_in @ SV9 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [SY213: $i] :
( ! [SY214: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV19 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV19 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV28 ) @ ( c_Message_Omsg_OMPair @ SV36 @ ( c_Message_Omsg_OMPair @ SV42 @ SY213 ) ) ) ) @ SY214 ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OGets @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV28 ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV28 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV19 ) @ ( c_Message_Omsg_OMPair @ SV42 @ SY213 ) ) ) ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[121]) ).
thf(133,plain,
! [SV29: $i,SV20: $i,SV10: $i] :
( ( ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV10 ) @ SV20 ) @ ( c_Message_Oanalz @ SV29 ) @ tc_Message_Omsg )
= $false )
| ( ( ~ ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ SV10 ) ) @ ( c_Message_Oanalz @ SV29 ) @ tc_Message_Omsg )
| ( c_in @ SV20 @ ( c_Message_Oanalz @ SV29 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(134,plain,
! [SV37: $i,SV30: $i,SV21: $i,SV11: $i] :
( ( ( ~ ( c_in @ SV11 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true )
| ( ( ! [SY191: $i,SY192: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV21 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV30 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV37 ) @ ( c_Message_Omsg_OMPair @ SY191 @ SY192 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV11 ) ) @ tc_Message_Omsg )
| ( c_in @ SV21 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV21 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV21 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV30 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV37 ) @ ( c_Message_Omsg_OMPair @ SY191 @ SY192 ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV30 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV21 ) @ ( c_Message_Omsg_OKey @ SV37 ) ) ) ) ) @ ( c_List_Oset @ SV11 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[123]) ).
thf(135,plain,
! [SV43: $i,SV38: $i,SV31: $i,SV22: $i,SV12: $i] :
( ( ! [SY215: $i,SY216: $i,SY217: $i,SY218: $i,SY219: $i,SY220: $i] :
( ~ ( c_in @ SV12 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OGets @ SV22 @ ( c_Message_Omsg_OMPair @ SV31 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV38 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV43 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY215 ) @ SY216 ) ) ) ) ) @ ( c_List_Oset @ SV12 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [SY99: $i,SY100: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ SY217 @ SY218 @ ( c_Message_Omsg_OMPair @ SY219 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY220 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY99 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY100 ) @ SY216 ) ) ) ) ) @ ( c_List_Oset @ SV12 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SY215 = SY100 )
| ( c_in @ SY216 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV12 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[124]) ).
thf(136,plain,
! [SV44: $i,SV39: $i,SV32: $i,SV23: $i,SV13: $i] :
( ( ! [SY223: $i,SY224: $i,SY225: $i,SY226: $i,SY227: $i,SY228: $i] :
( ~ ( c_in @ SV13 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OGets @ SV23 @ ( c_Message_Omsg_OMPair @ SV32 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV39 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV44 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY223 ) @ SY224 ) ) ) ) ) @ ( c_List_Oset @ SV13 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [SY111: $i,SY112: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ SY225 @ SY226 @ ( c_Message_Omsg_OMPair @ SY227 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY228 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY111 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY112 ) @ SY224 ) ) ) ) ) @ ( c_List_Oset @ SV13 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV39 = SY228 )
| ( c_in @ SY224 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV13 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[125]) ).
thf(137,plain,
! [SV40: $i,SV33: $i,SV24: $i,SV14: $i] :
( ( ( ~ ( c_in @ SV14 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true )
| ( ( ! [SY211: $i,SY212: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV24 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV24 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV33 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV40 ) @ ( c_Message_Omsg_OMPair @ SY211 @ SY212 ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV33 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV24 ) @ ( c_Message_Omsg_OKey @ SV40 ) ) ) ) ) @ ( c_List_Oset @ SV14 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Message_Omsg_OKey @ SV40 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV14 ) ) @ tc_Message_Omsg )
| ( c_in @ SV33 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ SV24 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SY211 @ ( c_Message_Omsg_OMPair @ SY212 @ ( c_Message_Omsg_OKey @ SV40 ) ) ) ) @ ( c_List_Oset @ SV14 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[126]) ).
thf(138,plain,
! [SV7: $i,SV34: $i] :
( ( ( c_in @ SV34 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false )
| ( ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ SV7 ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV34 ) ) @ tc_Message_Omsg )
= $true )
| ( ( c_in @ SV7 @ c_Event_Obad @ tc_Message_Oagent )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[130]) ).
thf(139,plain,
! [SV8: $i,SV41: $i,SV35: $i] :
( ( ( ~ ( c_in @ ( c_Event_Oevent_OGets @ SV35 @ SV41 ) @ ( c_List_Oset @ SV8 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( c_in @ SV41 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV8 ) ) @ tc_Message_Omsg )
= $true )
| ( ( c_in @ SV8 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[131]) ).
thf(140,plain,
! [SV42: $i,SV36: $i,SV28: $i,SV19: $i,SV9: $i] :
( ( ( ~ ( c_in @ SV9 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true )
| ( ( ! [SY213: $i] :
( ! [SY214: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV19 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV19 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV28 ) @ ( c_Message_Omsg_OMPair @ SV36 @ ( c_Message_Omsg_OMPair @ SV42 @ SY213 ) ) ) ) @ SY214 ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OGets @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV28 ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV28 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV19 ) @ ( c_Message_Omsg_OMPair @ SV42 @ SY213 ) ) ) ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[132]) ).
thf(141,plain,
! [SV20: $i,SV29: $i,SV10: $i] :
( ( ( ~ ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ SV10 ) ) @ ( c_Message_Oanalz @ SV29 ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV20 @ ( c_Message_Oanalz @ SV29 ) @ tc_Message_Omsg )
= $true )
| ( ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV10 ) @ SV20 ) @ ( c_Message_Oanalz @ SV29 ) @ tc_Message_Omsg )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[133]) ).
thf(142,plain,
! [SV37: $i,SV30: $i,SV21: $i,SV11: $i] :
( ( ( c_in @ SV11 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false )
| ( ( ! [SY191: $i,SY192: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV21 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV30 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV37 ) @ ( c_Message_Omsg_OMPair @ SY191 @ SY192 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV11 ) ) @ tc_Message_Omsg )
| ( c_in @ SV21 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV21 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV21 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV30 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV37 ) @ ( c_Message_Omsg_OMPair @ SY191 @ SY192 ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV30 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV21 ) @ ( c_Message_Omsg_OKey @ SV37 ) ) ) ) ) @ ( c_List_Oset @ SV11 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[134]) ).
thf(143,plain,
! [SV45: $i,SV43: $i,SV38: $i,SV31: $i,SV22: $i,SV12: $i] :
( ( ! [SY231: $i,SY232: $i,SY233: $i,SY234: $i,SY235: $i] :
( ~ ( c_in @ SV12 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OGets @ SV22 @ ( c_Message_Omsg_OMPair @ SV31 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV38 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV43 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV45 ) @ SY231 ) ) ) ) ) @ ( c_List_Oset @ SV12 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [SY236: $i,SY237: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ SY232 @ SY233 @ ( c_Message_Omsg_OMPair @ SY234 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY235 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY236 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY237 ) @ SY231 ) ) ) ) ) @ ( c_List_Oset @ SV12 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV45 = SY237 )
| ( c_in @ SY231 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV12 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(144,plain,
! [SV46: $i,SV44: $i,SV39: $i,SV32: $i,SV23: $i,SV13: $i] :
( ( ! [SY238: $i,SY239: $i,SY240: $i,SY241: $i,SY242: $i] :
( ~ ( c_in @ SV13 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OGets @ SV23 @ ( c_Message_Omsg_OMPair @ SV32 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV39 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV44 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV46 ) @ SY238 ) ) ) ) ) @ ( c_List_Oset @ SV13 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [SY111: $i,SY112: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ SY239 @ SY240 @ ( c_Message_Omsg_OMPair @ SY241 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY242 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY111 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY112 ) @ SY238 ) ) ) ) ) @ ( c_List_Oset @ SV13 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV39 = SY242 )
| ( c_in @ SY238 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV13 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(145,plain,
! [SV40: $i,SV33: $i,SV24: $i,SV14: $i] :
( ( ( c_in @ SV14 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false )
| ( ( ! [SY211: $i,SY212: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV24 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV24 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV33 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV40 ) @ ( c_Message_Omsg_OMPair @ SY211 @ SY212 ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV33 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV24 ) @ ( c_Message_Omsg_OKey @ SV40 ) ) ) ) ) @ ( c_List_Oset @ SV14 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Message_Omsg_OKey @ SV40 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV14 ) ) @ tc_Message_Omsg )
| ( c_in @ SV33 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ SV24 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SY211 @ ( c_Message_Omsg_OMPair @ SY212 @ ( c_Message_Omsg_OKey @ SV40 ) ) ) ) @ ( c_List_Oset @ SV14 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[137]) ).
thf(146,plain,
! [SV8: $i,SV41: $i,SV35: $i] :
( ( ( c_in @ ( c_Event_Oevent_OGets @ SV35 @ SV41 ) @ ( c_List_Oset @ SV8 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ SV41 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV8 ) ) @ tc_Message_Omsg )
= $true )
| ( ( c_in @ SV8 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[139]) ).
thf(147,plain,
! [SV42: $i,SV36: $i,SV28: $i,SV19: $i,SV9: $i] :
( ( ( c_in @ SV9 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false )
| ( ( ! [SY213: $i] :
( ! [SY214: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV19 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV19 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV28 ) @ ( c_Message_Omsg_OMPair @ SV36 @ ( c_Message_Omsg_OMPair @ SV42 @ SY213 ) ) ) ) @ SY214 ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OGets @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV28 ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV28 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV19 ) @ ( c_Message_Omsg_OMPair @ SV42 @ SY213 ) ) ) ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(148,plain,
! [SV20: $i,SV29: $i,SV10: $i] :
( ( ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ SV10 ) ) @ ( c_Message_Oanalz @ SV29 ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV20 @ ( c_Message_Oanalz @ SV29 ) @ tc_Message_Omsg )
= $true )
| ( ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV10 ) @ SV20 ) @ ( c_Message_Oanalz @ SV29 ) @ tc_Message_Omsg )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(149,plain,
! [SV11: $i,SV47: $i,SV37: $i,SV30: $i,SV21: $i] :
( ( ( ! [SY245: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV21 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV30 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV37 ) @ ( c_Message_Omsg_OMPair @ SV47 @ SY245 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV11 ) ) @ tc_Message_Omsg )
| ( c_in @ SV21 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV21 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV21 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV30 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV37 ) @ ( c_Message_Omsg_OMPair @ SV47 @ SY245 ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV30 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV21 ) @ ( c_Message_Omsg_OKey @ SV37 ) ) ) ) ) @ ( c_List_Oset @ SV11 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( c_in @ SV11 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(150,plain,
! [SV48: $i,SV45: $i,SV43: $i,SV38: $i,SV31: $i,SV22: $i,SV12: $i] :
( ( ! [SY246: $i,SY247: $i,SY248: $i,SY249: $i] :
( ~ ( c_in @ SV12 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OGets @ SV22 @ ( c_Message_Omsg_OMPair @ SV31 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV38 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV43 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV45 ) @ SV48 ) ) ) ) ) @ ( c_List_Oset @ SV12 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [SY250: $i,SY251: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ SY246 @ SY247 @ ( c_Message_Omsg_OMPair @ SY248 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY249 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY250 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY251 ) @ SV48 ) ) ) ) ) @ ( c_List_Oset @ SV12 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV45 = SY251 )
| ( c_in @ SV48 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV12 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[143]) ).
thf(151,plain,
! [SV49: $i,SV46: $i,SV44: $i,SV39: $i,SV32: $i,SV23: $i,SV13: $i] :
( ( ! [SY252: $i,SY253: $i,SY254: $i,SY255: $i] :
( ~ ( c_in @ SV13 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OGets @ SV23 @ ( c_Message_Omsg_OMPair @ SV32 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV39 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV44 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV46 ) @ SV49 ) ) ) ) ) @ ( c_List_Oset @ SV13 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [SY256: $i,SY257: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ SY252 @ SY253 @ ( c_Message_Omsg_OMPair @ SY254 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY255 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY256 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY257 ) @ SV49 ) ) ) ) ) @ ( c_List_Oset @ SV13 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV39 = SY255 )
| ( c_in @ SV49 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV13 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[144]) ).
thf(152,plain,
! [SV14: $i,SV50: $i,SV40: $i,SV33: $i,SV24: $i] :
( ( ( ! [SY258: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV24 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV24 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV33 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV40 ) @ ( c_Message_Omsg_OMPair @ SV50 @ SY258 ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV33 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV24 ) @ ( c_Message_Omsg_OKey @ SV40 ) ) ) ) ) @ ( c_List_Oset @ SV14 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Message_Omsg_OKey @ SV40 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV14 ) ) @ tc_Message_Omsg )
| ( c_in @ SV33 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ SV24 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SV50 @ ( c_Message_Omsg_OMPair @ SY258 @ ( c_Message_Omsg_OKey @ SV40 ) ) ) ) @ ( c_List_Oset @ SV14 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( c_in @ SV14 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[145]) ).
thf(153,plain,
! [SV9: $i,SV51: $i,SV42: $i,SV36: $i,SV28: $i,SV19: $i] :
( ( ( ! [SY259: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV19 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV19 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV28 ) @ ( c_Message_Omsg_OMPair @ SV36 @ ( c_Message_Omsg_OMPair @ SV42 @ SV51 ) ) ) ) @ SY259 ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OGets @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV28 ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV28 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV19 ) @ ( c_Message_Omsg_OMPair @ SV42 @ SV51 ) ) ) ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( c_in @ SV9 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[147]) ).
thf(154,plain,
! [SV11: $i,SV52: $i,SV47: $i,SV37: $i,SV30: $i,SV21: $i] :
( ( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV21 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV30 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV37 ) @ ( c_Message_Omsg_OMPair @ SV47 @ SV52 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV11 ) ) @ tc_Message_Omsg )
| ( c_in @ SV21 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV21 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV21 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV30 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV37 ) @ ( c_Message_Omsg_OMPair @ SV47 @ SV52 ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV30 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV21 ) @ ( c_Message_Omsg_OKey @ SV37 ) ) ) ) ) @ ( c_List_Oset @ SV11 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( c_in @ SV11 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[149]) ).
thf(155,plain,
! [SV53: $i,SV48: $i,SV45: $i,SV43: $i,SV38: $i,SV31: $i,SV22: $i,SV12: $i] :
( ( ! [SY260: $i,SY261: $i,SY262: $i] :
( ~ ( c_in @ SV12 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OGets @ SV22 @ ( c_Message_Omsg_OMPair @ SV31 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV38 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV43 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV45 ) @ SV48 ) ) ) ) ) @ ( c_List_Oset @ SV12 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [SY263: $i,SY264: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV53 @ SY260 @ ( c_Message_Omsg_OMPair @ SY261 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY262 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY263 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY264 ) @ SV48 ) ) ) ) ) @ ( c_List_Oset @ SV12 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV45 = SY264 )
| ( c_in @ SV48 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV12 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[150]) ).
thf(156,plain,
! [SV54: $i,SV49: $i,SV46: $i,SV44: $i,SV39: $i,SV32: $i,SV23: $i,SV13: $i] :
( ( ! [SY265: $i,SY266: $i,SY267: $i] :
( ~ ( c_in @ SV13 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OGets @ SV23 @ ( c_Message_Omsg_OMPair @ SV32 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV39 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV44 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV46 ) @ SV49 ) ) ) ) ) @ ( c_List_Oset @ SV13 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [SY268: $i,SY269: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ SV54 @ SY265 @ ( c_Message_Omsg_OMPair @ SY266 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY267 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY268 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY269 ) @ SV49 ) ) ) ) ) @ ( c_List_Oset @ SV13 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV39 = SY267 )
| ( c_in @ SV49 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV13 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[151]) ).
thf(157,plain,
! [SV14: $i,SV55: $i,SV50: $i,SV40: $i,SV33: $i,SV24: $i] :
( ( ( ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV24 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV24 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV33 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV40 ) @ ( c_Message_Omsg_OMPair @ SV50 @ SV55 ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV33 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV24 ) @ ( c_Message_Omsg_OKey @ SV40 ) ) ) ) ) @ ( c_List_Oset @ SV14 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Message_Omsg_OKey @ SV40 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV14 ) ) @ tc_Message_Omsg )
| ( c_in @ SV33 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ SV24 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SV50 @ ( c_Message_Omsg_OMPair @ SV55 @ ( c_Message_Omsg_OKey @ SV40 ) ) ) ) @ ( c_List_Oset @ SV14 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( c_in @ SV14 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[152]) ).
thf(158,plain,
! [SV9: $i,SV51: $i,SV42: $i,SV36: $i,SV28: $i,SV19: $i] :
( ( ( ! [SY259: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV19 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV19 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV28 ) @ ( c_Message_Omsg_OMPair @ SV36 @ ( c_Message_Omsg_OMPair @ SV42 @ SV51 ) ) ) ) @ SY259 ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( c_in @ ( c_Event_Oevent_OGets @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV28 ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV28 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV19 ) @ ( c_Message_Omsg_OMPair @ SV42 @ SV51 ) ) ) ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true )
| ( ( c_in @ SV9 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[153]) ).
thf(159,plain,
! [SV11: $i,SV52: $i,SV47: $i,SV37: $i,SV30: $i,SV21: $i] :
( ( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV21 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV30 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV37 ) @ ( c_Message_Omsg_OMPair @ SV47 @ SV52 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV11 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ( c_in @ SV21 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV21 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV21 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV30 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV37 ) @ ( c_Message_Omsg_OMPair @ SV47 @ SV52 ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV30 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV21 ) @ ( c_Message_Omsg_OKey @ SV37 ) ) ) ) ) @ ( c_List_Oset @ SV11 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( c_in @ SV11 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[154]) ).
thf(160,plain,
! [SV56: $i,SV53: $i,SV48: $i,SV45: $i,SV43: $i,SV38: $i,SV31: $i,SV22: $i,SV12: $i] :
( ( ! [SY270: $i,SY271: $i] :
( ~ ( c_in @ SV12 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OGets @ SV22 @ ( c_Message_Omsg_OMPair @ SV31 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV38 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV43 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV45 ) @ SV48 ) ) ) ) ) @ ( c_List_Oset @ SV12 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [SY272: $i,SY273: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV53 @ SV56 @ ( c_Message_Omsg_OMPair @ SY270 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY271 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY272 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY273 ) @ SV48 ) ) ) ) ) @ ( c_List_Oset @ SV12 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV45 = SY273 )
| ( c_in @ SV48 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV12 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[155]) ).
thf(161,plain,
! [SV57: $i,SV54: $i,SV49: $i,SV46: $i,SV44: $i,SV39: $i,SV32: $i,SV23: $i,SV13: $i] :
( ( ! [SY274: $i,SY275: $i] :
( ~ ( c_in @ SV13 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OGets @ SV23 @ ( c_Message_Omsg_OMPair @ SV32 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV39 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV44 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV46 ) @ SV49 ) ) ) ) ) @ ( c_List_Oset @ SV13 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [SY276: $i,SY277: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ SV54 @ SV57 @ ( c_Message_Omsg_OMPair @ SY274 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY275 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY276 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY277 ) @ SV49 ) ) ) ) ) @ ( c_List_Oset @ SV13 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV39 = SY275 )
| ( c_in @ SV49 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV13 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[156]) ).
thf(162,plain,
! [SV14: $i,SV55: $i,SV50: $i,SV40: $i,SV33: $i,SV24: $i] :
( ( ( ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV24 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV24 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV33 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV40 ) @ ( c_Message_Omsg_OMPair @ SV50 @ SV55 ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV33 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV24 ) @ ( c_Message_Omsg_OKey @ SV40 ) ) ) ) ) @ ( c_List_Oset @ SV14 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( ~ ( c_in @ ( c_Message_Omsg_OKey @ SV40 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV14 ) ) @ tc_Message_Omsg )
| ( c_in @ SV33 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ SV24 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SV50 @ ( c_Message_Omsg_OMPair @ SV55 @ ( c_Message_Omsg_OKey @ SV40 ) ) ) ) @ ( c_List_Oset @ SV14 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( c_in @ SV14 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[157]) ).
thf(163,plain,
! [SV9: $i,SV58: $i,SV51: $i,SV42: $i,SV36: $i,SV28: $i,SV19: $i] :
( ( ( ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV19 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV19 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV28 ) @ ( c_Message_Omsg_OMPair @ SV36 @ ( c_Message_Omsg_OMPair @ SV42 @ SV51 ) ) ) ) @ SV58 ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( c_in @ ( c_Event_Oevent_OGets @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV28 ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV28 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV19 ) @ ( c_Message_Omsg_OMPair @ SV42 @ SV51 ) ) ) ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true )
| ( ( c_in @ SV9 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[158]) ).
thf(164,plain,
! [SV11: $i,SV52: $i,SV47: $i,SV37: $i,SV30: $i,SV21: $i] :
( ( ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV21 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV30 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV37 ) @ ( c_Message_Omsg_OMPair @ SV47 @ SV52 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV11 ) ) @ tc_Message_Omsg )
= $false )
| ( ( ( c_in @ SV21 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV21 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV21 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV30 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV37 ) @ ( c_Message_Omsg_OMPair @ SV47 @ SV52 ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV30 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV21 ) @ ( c_Message_Omsg_OKey @ SV37 ) ) ) ) ) @ ( c_List_Oset @ SV11 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( c_in @ SV11 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(165,plain,
! [SV59: $i,SV56: $i,SV53: $i,SV48: $i,SV45: $i,SV43: $i,SV38: $i,SV31: $i,SV22: $i,SV12: $i] :
( ( ! [SY278: $i] :
( ~ ( c_in @ SV12 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OGets @ SV22 @ ( c_Message_Omsg_OMPair @ SV31 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV38 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV43 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV45 ) @ SV48 ) ) ) ) ) @ ( c_List_Oset @ SV12 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [SY279: $i,SY280: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV53 @ SV56 @ ( c_Message_Omsg_OMPair @ SV59 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY278 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY279 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY280 ) @ SV48 ) ) ) ) ) @ ( c_List_Oset @ SV12 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV45 = SY280 )
| ( c_in @ SV48 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV12 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[160]) ).
thf(166,plain,
! [SV60: $i,SV57: $i,SV54: $i,SV49: $i,SV46: $i,SV44: $i,SV39: $i,SV32: $i,SV23: $i,SV13: $i] :
( ( ! [SY281: $i] :
( ~ ( c_in @ SV13 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OGets @ SV23 @ ( c_Message_Omsg_OMPair @ SV32 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV39 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV44 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV46 ) @ SV49 ) ) ) ) ) @ ( c_List_Oset @ SV13 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [SY282: $i,SY283: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ SV54 @ SV57 @ ( c_Message_Omsg_OMPair @ SV60 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY281 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY282 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY283 ) @ SV49 ) ) ) ) ) @ ( c_List_Oset @ SV13 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV39 = SY281 )
| ( c_in @ SV49 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV13 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[161]) ).
thf(167,plain,
! [SV14: $i,SV55: $i,SV50: $i,SV40: $i,SV33: $i,SV24: $i] :
( ( ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV24 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV24 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV33 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV40 ) @ ( c_Message_Omsg_OMPair @ SV50 @ SV55 ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV33 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV24 ) @ ( c_Message_Omsg_OKey @ SV40 ) ) ) ) ) @ ( c_List_Oset @ SV14 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( ~ ( c_in @ ( c_Message_Omsg_OKey @ SV40 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV14 ) ) @ tc_Message_Omsg )
| ( c_in @ SV33 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ SV24 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SV50 @ ( c_Message_Omsg_OMPair @ SV55 @ ( c_Message_Omsg_OKey @ SV40 ) ) ) ) @ ( c_List_Oset @ SV14 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( c_in @ SV14 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[162]) ).
thf(168,plain,
! [SV9: $i,SV58: $i,SV51: $i,SV42: $i,SV36: $i,SV28: $i,SV19: $i] :
( ( ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV19 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV19 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV28 ) @ ( c_Message_Omsg_OMPair @ SV36 @ ( c_Message_Omsg_OMPair @ SV42 @ SV51 ) ) ) ) @ SV58 ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ ( c_Event_Oevent_OGets @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV28 ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV28 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV19 ) @ ( c_Message_Omsg_OMPair @ SV42 @ SV51 ) ) ) ) ) @ ( c_List_Oset @ SV9 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true )
| ( ( c_in @ SV9 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(169,plain,
! [SV11: $i,SV52: $i,SV47: $i,SV37: $i,SV30: $i,SV21: $i] :
( ( ( c_in @ SV21 @ c_Event_Obad @ tc_Message_Oagent )
= $true )
| ( ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV21 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV21 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV30 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV37 ) @ ( c_Message_Omsg_OMPair @ SV47 @ SV52 ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV30 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV21 ) @ ( c_Message_Omsg_OKey @ SV37 ) ) ) ) ) @ ( c_List_Oset @ SV11 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true )
| ( ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV21 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV30 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV37 ) @ ( c_Message_Omsg_OMPair @ SV47 @ SV52 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV11 ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV11 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[164]) ).
thf(170,plain,
! [SV61: $i,SV59: $i,SV56: $i,SV53: $i,SV48: $i,SV45: $i,SV43: $i,SV38: $i,SV31: $i,SV22: $i,SV12: $i] :
( ( ~ ( c_in @ SV12 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OGets @ SV22 @ ( c_Message_Omsg_OMPair @ SV31 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV38 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV43 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV45 ) @ SV48 ) ) ) ) ) @ ( c_List_Oset @ SV12 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [SY284: $i,SY285: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV53 @ SV56 @ ( c_Message_Omsg_OMPair @ SV59 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV61 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY284 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY285 ) @ SV48 ) ) ) ) ) @ ( c_List_Oset @ SV12 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV45 = SY285 )
| ( c_in @ SV48 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV12 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[165]) ).
thf(171,plain,
! [SV62: $i,SV60: $i,SV57: $i,SV54: $i,SV49: $i,SV46: $i,SV44: $i,SV39: $i,SV32: $i,SV23: $i,SV13: $i] :
( ( ~ ( c_in @ SV13 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Event_Oevent_OGets @ SV23 @ ( c_Message_Omsg_OMPair @ SV32 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV39 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV44 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV46 ) @ SV49 ) ) ) ) ) @ ( c_List_Oset @ SV13 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [SY286: $i,SY287: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ SV54 @ SV57 @ ( c_Message_Omsg_OMPair @ SV60 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV62 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY286 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY287 ) @ SV49 ) ) ) ) ) @ ( c_List_Oset @ SV13 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV39 = SV62 )
| ( c_in @ SV49 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV13 ) ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[166]) ).
thf(172,plain,
! [SV55: $i,SV50: $i,SV24: $i,SV33: $i,SV14: $i,SV40: $i] :
( ( ( ~ ( c_in @ ( c_Message_Omsg_OKey @ SV40 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV14 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ( c_in @ SV33 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ SV24 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SV50 @ ( c_Message_Omsg_OMPair @ SV55 @ ( c_Message_Omsg_OKey @ SV40 ) ) ) ) @ ( c_List_Oset @ SV14 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV24 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV24 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV33 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV40 ) @ ( c_Message_Omsg_OMPair @ SV50 @ SV55 ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV33 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV24 ) @ ( c_Message_Omsg_OKey @ SV40 ) ) ) ) ) @ ( c_List_Oset @ SV14 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ SV14 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[167]) ).
thf(173,plain,
! [SV61: $i,SV59: $i,SV56: $i,SV53: $i,SV48: $i,SV45: $i,SV43: $i,SV38: $i,SV31: $i,SV22: $i,SV12: $i] :
( ( ( ~ ( c_in @ SV12 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( c_in @ ( c_Event_Oevent_OGets @ SV22 @ ( c_Message_Omsg_OMPair @ SV31 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV38 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV43 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV45 ) @ SV48 ) ) ) ) ) @ ( c_List_Oset @ SV12 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [SY284: $i,SY285: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV53 @ SV56 @ ( c_Message_Omsg_OMPair @ SV59 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV61 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY284 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY285 ) @ SV48 ) ) ) ) ) @ ( c_List_Oset @ SV12 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV45 = SY285 )
| ( c_in @ SV48 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV12 ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[170]) ).
thf(174,plain,
! [SV62: $i,SV60: $i,SV57: $i,SV54: $i,SV49: $i,SV46: $i,SV44: $i,SV39: $i,SV32: $i,SV23: $i,SV13: $i] :
( ( ( ~ ( c_in @ SV13 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( c_in @ ( c_Event_Oevent_OGets @ SV23 @ ( c_Message_Omsg_OMPair @ SV32 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV39 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV44 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV46 ) @ SV49 ) ) ) ) ) @ ( c_List_Oset @ SV13 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [SY286: $i,SY287: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ SV54 @ SV57 @ ( c_Message_Omsg_OMPair @ SV60 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV62 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY286 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY287 ) @ SV49 ) ) ) ) ) @ ( c_List_Oset @ SV13 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV39 = SV62 )
| ( c_in @ SV49 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV13 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[171]) ).
thf(175,plain,
! [SV55: $i,SV50: $i,SV24: $i,SV33: $i,SV14: $i,SV40: $i] :
( ( ( c_in @ ( c_Message_Omsg_OKey @ SV40 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV14 ) ) @ tc_Message_Omsg )
= $false )
| ( ( ( c_in @ SV33 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ SV24 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SV50 @ ( c_Message_Omsg_OMPair @ SV55 @ ( c_Message_Omsg_OKey @ SV40 ) ) ) ) @ ( c_List_Oset @ SV14 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV24 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV24 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV33 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV40 ) @ ( c_Message_Omsg_OMPair @ SV50 @ SV55 ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV33 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV24 ) @ ( c_Message_Omsg_OKey @ SV40 ) ) ) ) ) @ ( c_List_Oset @ SV14 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ SV14 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[172]) ).
thf(176,plain,
! [SV61: $i,SV59: $i,SV56: $i,SV53: $i,SV48: $i,SV45: $i,SV43: $i,SV38: $i,SV31: $i,SV22: $i,SV12: $i] :
( ( ( c_in @ SV12 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false )
| ( ( ~ ( c_in @ ( c_Event_Oevent_OGets @ SV22 @ ( c_Message_Omsg_OMPair @ SV31 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV38 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV43 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV45 ) @ SV48 ) ) ) ) ) @ ( c_List_Oset @ SV12 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [SY284: $i,SY285: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV53 @ SV56 @ ( c_Message_Omsg_OMPair @ SV59 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV61 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY284 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY285 ) @ SV48 ) ) ) ) ) @ ( c_List_Oset @ SV12 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV45 = SY285 )
| ( c_in @ SV48 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV12 ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[173]) ).
thf(177,plain,
! [SV62: $i,SV60: $i,SV57: $i,SV54: $i,SV49: $i,SV46: $i,SV44: $i,SV39: $i,SV32: $i,SV23: $i,SV13: $i] :
( ( ( c_in @ SV13 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false )
| ( ( ~ ( c_in @ ( c_Event_Oevent_OGets @ SV23 @ ( c_Message_Omsg_OMPair @ SV32 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV39 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV44 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV46 ) @ SV49 ) ) ) ) ) @ ( c_List_Oset @ SV13 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [SY286: $i,SY287: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ SV54 @ SV57 @ ( c_Message_Omsg_OMPair @ SV60 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV62 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY286 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY287 ) @ SV49 ) ) ) ) ) @ ( c_List_Oset @ SV13 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV39 = SV62 )
| ( c_in @ SV49 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV13 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(178,plain,
! [SV14: $i,SV40: $i,SV55: $i,SV50: $i,SV24: $i,SV33: $i] :
( ( ( c_in @ SV33 @ c_Event_Obad @ tc_Message_Oagent )
= $true )
| ( ( ( c_in @ SV24 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SV50 @ ( c_Message_Omsg_OMPair @ SV55 @ ( c_Message_Omsg_OKey @ SV40 ) ) ) ) @ ( c_List_Oset @ SV14 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( c_in @ ( c_Message_Omsg_OKey @ SV40 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV14 ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV24 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV24 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV33 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV40 ) @ ( c_Message_Omsg_OMPair @ SV50 @ SV55 ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV33 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV24 ) @ ( c_Message_Omsg_OKey @ SV40 ) ) ) ) ) @ ( c_List_Oset @ SV14 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ SV14 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[175]) ).
thf(179,plain,
! [SV61: $i,SV59: $i,SV56: $i,SV53: $i,SV12: $i,SV48: $i,SV45: $i,SV43: $i,SV38: $i,SV31: $i,SV22: $i] :
( ( ( ~ ( c_in @ ( c_Event_Oevent_OGets @ SV22 @ ( c_Message_Omsg_OMPair @ SV31 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV38 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV43 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV45 ) @ SV48 ) ) ) ) ) @ ( c_List_Oset @ SV12 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( ! [SY284: $i,SY285: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV53 @ SV56 @ ( c_Message_Omsg_OMPair @ SV59 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV61 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY284 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY285 ) @ SV48 ) ) ) ) ) @ ( c_List_Oset @ SV12 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV45 = SY285 )
| ( c_in @ SV48 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV12 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( c_in @ SV12 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[176]) ).
thf(180,plain,
! [SV62: $i,SV60: $i,SV57: $i,SV54: $i,SV13: $i,SV49: $i,SV46: $i,SV44: $i,SV39: $i,SV32: $i,SV23: $i] :
( ( ( ~ ( c_in @ ( c_Event_Oevent_OGets @ SV23 @ ( c_Message_Omsg_OMPair @ SV32 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV39 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV44 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV46 ) @ SV49 ) ) ) ) ) @ ( c_List_Oset @ SV13 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( ! [SY286: $i,SY287: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ SV54 @ SV57 @ ( c_Message_Omsg_OMPair @ SV60 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV62 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY286 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY287 ) @ SV49 ) ) ) ) ) @ ( c_List_Oset @ SV13 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV39 = SV62 )
| ( c_in @ SV49 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV13 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV13 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[177]) ).
thf(181,plain,
! [SV33: $i,SV14: $i,SV40: $i,SV55: $i,SV50: $i,SV24: $i] :
( ( ( c_in @ SV24 @ c_Event_Obad @ tc_Message_Oagent )
= $true )
| ( ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SV50 @ ( c_Message_Omsg_OMPair @ SV55 @ ( c_Message_Omsg_OKey @ SV40 ) ) ) ) @ ( c_List_Oset @ SV14 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true )
| ( ( c_in @ SV33 @ c_Event_Obad @ tc_Message_Oagent )
= $true )
| ( ( c_in @ ( c_Message_Omsg_OKey @ SV40 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV14 ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV24 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV24 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV33 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OKey @ SV40 ) @ ( c_Message_Omsg_OMPair @ SV50 @ SV55 ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV33 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV24 ) @ ( c_Message_Omsg_OKey @ SV40 ) ) ) ) ) @ ( c_List_Oset @ SV14 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ SV14 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[178]) ).
thf(182,plain,
! [SV61: $i,SV59: $i,SV56: $i,SV53: $i,SV12: $i,SV48: $i,SV45: $i,SV43: $i,SV38: $i,SV31: $i,SV22: $i] :
( ( ( c_in @ ( c_Event_Oevent_OGets @ SV22 @ ( c_Message_Omsg_OMPair @ SV31 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV38 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV43 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV45 ) @ SV48 ) ) ) ) ) @ ( c_List_Oset @ SV12 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( ! [SY284: $i,SY285: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV53 @ SV56 @ ( c_Message_Omsg_OMPair @ SV59 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV61 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY284 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY285 ) @ SV48 ) ) ) ) ) @ ( c_List_Oset @ SV12 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV45 = SY285 )
| ( c_in @ SV48 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV12 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( c_in @ SV12 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[179]) ).
thf(183,plain,
! [SV62: $i,SV60: $i,SV57: $i,SV54: $i,SV13: $i,SV49: $i,SV46: $i,SV44: $i,SV39: $i,SV32: $i,SV23: $i] :
( ( ( c_in @ ( c_Event_Oevent_OGets @ SV23 @ ( c_Message_Omsg_OMPair @ SV32 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV39 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV44 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV46 ) @ SV49 ) ) ) ) ) @ ( c_List_Oset @ SV13 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( ! [SY286: $i,SY287: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ SV54 @ SV57 @ ( c_Message_Omsg_OMPair @ SV60 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV62 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY286 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY287 ) @ SV49 ) ) ) ) ) @ ( c_List_Oset @ SV13 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV39 = SV62 )
| ( c_in @ SV49 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV13 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV13 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[180]) ).
thf(184,plain,
! [SV43: $i,SV38: $i,SV31: $i,SV22: $i,SV45: $i,SV12: $i,SV48: $i,SV63: $i,SV61: $i,SV59: $i,SV56: $i,SV53: $i] :
( ( ( ! [SY288: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV53 @ SV56 @ ( c_Message_Omsg_OMPair @ SV59 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV61 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV63 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY288 ) @ SV48 ) ) ) ) ) @ ( c_List_Oset @ SV12 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV45 = SY288 )
| ( c_in @ SV48 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV12 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( c_in @ ( c_Event_Oevent_OGets @ SV22 @ ( c_Message_Omsg_OMPair @ SV31 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV38 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV43 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV45 ) @ SV48 ) ) ) ) ) @ ( c_List_Oset @ SV12 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ SV12 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[182]) ).
thf(185,plain,
! [SV46: $i,SV44: $i,SV32: $i,SV23: $i,SV39: $i,SV13: $i,SV49: $i,SV62: $i,SV60: $i,SV57: $i,SV54: $i] :
( ( ( ! [SY286: $i,SY287: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ SV54 @ SV57 @ ( c_Message_Omsg_OMPair @ SV60 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV62 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY286 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY287 ) @ SV49 ) ) ) ) ) @ ( c_List_Oset @ SV13 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( ( SV39 = SV62 )
| ( c_in @ SV49 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV13 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ ( c_Event_Oevent_OGets @ SV23 @ ( c_Message_Omsg_OMPair @ SV32 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV39 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV44 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV46 ) @ SV49 ) ) ) ) ) @ ( c_List_Oset @ SV13 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ SV13 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[183]) ).
thf(186,plain,
! [SV43: $i,SV38: $i,SV31: $i,SV22: $i,SV45: $i,SV12: $i,SV48: $i,SV64: $i,SV63: $i,SV61: $i,SV59: $i,SV56: $i,SV53: $i] :
( ( ( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV53 @ SV56 @ ( c_Message_Omsg_OMPair @ SV59 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV61 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV63 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV64 ) @ SV48 ) ) ) ) ) @ ( c_List_Oset @ SV12 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( SV45 = SV64 )
| ( c_in @ SV48 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV12 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ ( c_Event_Oevent_OGets @ SV22 @ ( c_Message_Omsg_OMPair @ SV31 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV38 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV43 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV45 ) @ SV48 ) ) ) ) ) @ ( c_List_Oset @ SV12 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ SV12 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[184]) ).
thf(187,plain,
! [SV46: $i,SV44: $i,SV32: $i,SV23: $i,SV39: $i,SV13: $i,SV49: $i,SV65: $i,SV62: $i,SV60: $i,SV57: $i,SV54: $i] :
( ( ( ! [SY289: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ SV54 @ SV57 @ ( c_Message_Omsg_OMPair @ SV60 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV62 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV65 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY289 ) @ SV49 ) ) ) ) ) @ ( c_List_Oset @ SV13 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( ( SV39 = SV62 )
| ( c_in @ SV49 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV13 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ ( c_Event_Oevent_OGets @ SV23 @ ( c_Message_Omsg_OMPair @ SV32 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV39 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV44 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV46 ) @ SV49 ) ) ) ) ) @ ( c_List_Oset @ SV13 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ SV13 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[185]) ).
thf(188,plain,
! [SV43: $i,SV38: $i,SV31: $i,SV22: $i,SV45: $i,SV12: $i,SV48: $i,SV64: $i,SV63: $i,SV61: $i,SV59: $i,SV56: $i,SV53: $i] :
( ( ( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV53 @ SV56 @ ( c_Message_Omsg_OMPair @ SV59 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV61 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV63 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV64 ) @ SV48 ) ) ) ) ) @ ( c_List_Oset @ SV12 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( ( SV45 = SV64 )
| ( c_in @ SV48 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV12 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ ( c_Event_Oevent_OGets @ SV22 @ ( c_Message_Omsg_OMPair @ SV31 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV38 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV43 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV45 ) @ SV48 ) ) ) ) ) @ ( c_List_Oset @ SV12 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ SV12 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[186]) ).
thf(189,plain,
! [SV46: $i,SV44: $i,SV32: $i,SV23: $i,SV39: $i,SV13: $i,SV49: $i,SV66: $i,SV65: $i,SV62: $i,SV60: $i,SV57: $i,SV54: $i] :
( ( ( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV54 @ SV57 @ ( c_Message_Omsg_OMPair @ SV60 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV62 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV65 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV66 ) @ SV49 ) ) ) ) ) @ ( c_List_Oset @ SV13 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( ( SV39 = SV62 )
| ( c_in @ SV49 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV13 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ ( c_Event_Oevent_OGets @ SV23 @ ( c_Message_Omsg_OMPair @ SV32 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV39 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV44 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV46 ) @ SV49 ) ) ) ) ) @ ( c_List_Oset @ SV13 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ SV13 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[187]) ).
thf(190,plain,
! [SV43: $i,SV38: $i,SV31: $i,SV22: $i,SV45: $i,SV12: $i,SV48: $i,SV64: $i,SV63: $i,SV61: $i,SV59: $i,SV56: $i,SV53: $i] :
( ( ( c_in @ ( c_Event_Oevent_OSays @ SV53 @ SV56 @ ( c_Message_Omsg_OMPair @ SV59 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV61 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV63 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV64 ) @ SV48 ) ) ) ) ) @ ( c_List_Oset @ SV12 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( ( SV45 = SV64 )
| ( c_in @ SV48 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV12 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ ( c_Event_Oevent_OGets @ SV22 @ ( c_Message_Omsg_OMPair @ SV31 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV38 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV43 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV45 ) @ SV48 ) ) ) ) ) @ ( c_List_Oset @ SV12 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ SV12 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[188]) ).
thf(191,plain,
! [SV46: $i,SV44: $i,SV32: $i,SV23: $i,SV39: $i,SV13: $i,SV49: $i,SV66: $i,SV65: $i,SV62: $i,SV60: $i,SV57: $i,SV54: $i] :
( ( ( c_in @ ( c_Event_Oevent_OSays @ SV54 @ SV57 @ ( c_Message_Omsg_OMPair @ SV60 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV62 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV65 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV66 ) @ SV49 ) ) ) ) ) @ ( c_List_Oset @ SV13 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( ( SV39 = SV62 )
| ( c_in @ SV49 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV13 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ ( c_Event_Oevent_OGets @ SV23 @ ( c_Message_Omsg_OMPair @ SV32 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV39 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV44 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV46 ) @ SV49 ) ) ) ) ) @ ( c_List_Oset @ SV13 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ SV13 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[189]) ).
thf(192,plain,
! [SV43: $i,SV38: $i,SV31: $i,SV22: $i,SV63: $i,SV61: $i,SV59: $i,SV56: $i,SV53: $i,SV12: $i,SV48: $i,SV64: $i,SV45: $i] :
( ( ( SV45 = SV64 )
= $true )
| ( ( c_in @ SV48 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV12 ) ) @ tc_Message_Omsg )
= $true )
| ( ( c_in @ ( c_Event_Oevent_OSays @ SV53 @ SV56 @ ( c_Message_Omsg_OMPair @ SV59 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV61 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV63 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV64 ) @ SV48 ) ) ) ) ) @ ( c_List_Oset @ SV12 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ ( c_Event_Oevent_OGets @ SV22 @ ( c_Message_Omsg_OMPair @ SV31 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV38 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV43 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV45 ) @ SV48 ) ) ) ) ) @ ( c_List_Oset @ SV12 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ SV12 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[190]) ).
thf(193,plain,
! [SV46: $i,SV44: $i,SV32: $i,SV23: $i,SV66: $i,SV65: $i,SV60: $i,SV57: $i,SV54: $i,SV13: $i,SV49: $i,SV62: $i,SV39: $i] :
( ( ( SV39 = SV62 )
= $true )
| ( ( c_in @ SV49 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV13 ) ) @ tc_Message_Omsg )
= $true )
| ( ( c_in @ ( c_Event_Oevent_OSays @ SV54 @ SV57 @ ( c_Message_Omsg_OMPair @ SV60 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV62 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV65 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV66 ) @ SV49 ) ) ) ) ) @ ( c_List_Oset @ SV13 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ ( c_Event_Oevent_OGets @ SV23 @ ( c_Message_Omsg_OMPair @ SV32 @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV39 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV44 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV46 ) @ SV49 ) ) ) ) ) @ ( c_List_Oset @ SV13 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ SV13 @ c_Yahalom_Oyahalom @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[191]) ).
thf(194,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[53,193,192,181,169,168,148,146,138,129,128,127,116,90,89,78,75,73,58,56,54]) ).
thf(195,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[194]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SWV348-2 : TPTP v8.1.0. Released v3.2.0.
% 0.14/0.14 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.36 % Computer : n008.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Thu Jun 16 02:01:52 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.22/0.50
% 0.22/0.50 No.of.Axioms: 20
% 0.22/0.50
% 0.22/0.50 Length.of.Defs: 0
% 0.22/0.50
% 0.22/0.50 Contains.Choice.Funs: false
% 0.42/0.59 (rf:0,axioms:20,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:22,loop_count:0,foatp_calls:0,translation:fof_full)..................
% 1.03/1.22
% 1.03/1.22 ********************************
% 1.03/1.22 * All subproblems solved! *
% 1.03/1.22 ********************************
% 1.03/1.22 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:20,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:194,loop_count:0,foatp_calls:1,translation:fof_full)
% 1.09/1.28
% 1.09/1.28 %**** Beginning of derivation protocol ****
% 1.09/1.28 % SZS output start CNFRefutation
% See solution above
% 1.09/1.29
% 1.09/1.29 %**** End of derivation protocol ****
% 1.09/1.29 %**** no. of clauses in derivation: 195 ****
% 1.09/1.29 %**** clause counter: 194 ****
% 1.09/1.29
% 1.09/1.29 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:20,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:194,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------