TSTP Solution File: SWV303-2 by LEO-II---1.7.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SWV303-2 : 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 : n025.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 20:11:42 EDT 2022
% Result : Unsatisfiable 0.74s 0.91s
% Output : CNFRefutation 0.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 50
% Syntax : Number of formulae : 182 ( 83 unt; 31 typ; 0 def)
% Number of atoms : 895 ( 332 equ; 0 cnn)
% Maximal formula atoms : 5 ( 5 avg)
% Number of connectives : 3889 ( 185 ~; 300 |; 0 &;3404 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 5 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 25 ( 25 >; 0 *; 0 +; 0 <<)
% Number of symbols : 34 ( 31 usr; 19 con; 0-3 aty)
% Number of variables : 479 ( 0 ^ 479 !; 0 ?; 479 :)
% 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_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_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_OtwayRees_Ootway,type,
c_OtwayRees_Ootway: $i ).
thf(tp_c_Public_OshrK,type,
c_Public_OshrK: $i > $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_NA,type,
v_NA: $i ).
thf(tp_v_NAa,type,
v_NAa: $i ).
thf(tp_v_NB,type,
v_NB: $i ).
thf(tp_v_NBa,type,
v_NBa: $i ).
thf(tp_v_evs3,type,
v_evs3: $i ).
thf(tp_v_sko__usf,type,
v_sko__usf: $i > $i > $i > $i ).
thf(tp_v_x,type,
v_x: $i ).
thf(1,axiom,
! [V_evs: $i,V_B: $i,V_NC: $i,V_NB: $i,V_C: $i,V_NA: $i,V_A: $i] :
( ~ ( c_in @ V_evs @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ V_NC @ ( c_Message_Omsg_OMPair @ V_NB @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_C ) @ ( c_Message_Omsg_OAgent @ V_B ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ V_NB @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OAgent @ V_B ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ( c_in @ V_B @ c_Event_Obad @ tc_Message_Oagent )
| ( V_C = V_A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OtwayRees_Ounique__NB__dest_1) ).
thf(2,axiom,
! [V_evs: $i,V_B: $i,V_NC: $i,V_NB: $i,V_C: $i,V_NA: $i,V_A: $i] :
( ~ ( c_in @ V_evs @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ V_NC @ ( c_Message_Omsg_OMPair @ V_NB @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_C ) @ ( c_Message_Omsg_OAgent @ V_B ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ V_NB @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OAgent @ V_B ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ( c_in @ V_B @ c_Event_Obad @ tc_Message_Oagent )
| ( V_NC = V_NA ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OtwayRees_Ounique__NB__dest_0) ).
thf(3,axiom,
! [V_evs: $i,V_A: $i,V_NA_H: $i,V_NA: $i,V_A_H: $i,V_B: $i] :
( ~ ( c_in @ V_evs @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA_H @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A_H ) @ ( c_Message_Omsg_OAgent @ V_A ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OAgent @ V_B ) ) ) ) @ ( 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 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OtwayRees_Ono__nonce__OR1__OR2__dest_0) ).
thf(4,axiom,
! [V_evs: $i,V_B: $i,V_X: $i] :
( ~ ( c_in @ V_evs @ c_OtwayRees_Ootway @ ( 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 @ ( c_Event_Oevent_OSays @ ( v_sko__usf @ V_B @ V_X @ V_evs ) @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OtwayRees_OGets__imp__Says__dest_0) ).
thf(5,axiom,
! [V_c: $i,V_H: $i] :
( ~ ( c_in @ V_c @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_c @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__into__parts__dest_0) ).
thf(6,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(7,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(8,axiom,
! [V_A: $i,V_B: $i,V_X: $i,V_evs: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ 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_Event_OSays__imp__analz__Spy__dest_0) ).
thf(9,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(10,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[9]) ).
thf(11,negated_conjecture,
( ( c_in @ ( c_Event_Oevent_OSays @ v_Ba @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_Ba ) @ ( c_Message_Omsg_OMPair @ v_x @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_Ba ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NBa ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OAgent @ v_Ba ) ) ) ) ) ) ) ) ) ) @ ( c_List_Oset @ v_evs3 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( v_B = v_Aa ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_8) ).
thf(12,negated_conjecture,
( ( v_B = v_Ba )
| ( v_B = v_Aa ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
thf(13,negated_conjecture,
( ( v_A != v_Aa )
| ( v_NA
!= ( c_Message_Omsg_ONonce @ v_NAa ) )
| ( v_NB
= ( c_Message_Omsg_ONonce @ v_NAa ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_31) ).
thf(14,negated_conjecture,
( ( v_A != v_Aa )
| ( v_NA
!= ( c_Message_Omsg_ONonce @ v_NAa ) )
| ( v_B = v_Aa ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_30) ).
thf(15,negated_conjecture,
c_in @ ( c_Event_Oevent_OGets @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NAa ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_Aa ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_Ba ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_Aa ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NAa ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_Aa ) @ ( c_Message_Omsg_OAgent @ v_Ba ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_Ba ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NAa ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NBa ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_Aa ) @ ( c_Message_Omsg_OAgent @ v_Ba ) ) ) ) ) ) ) ) ) ) @ ( c_List_Oset @ v_evs3 @ tc_Event_Oevent ) @ tc_Event_Oevent,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
thf(16,negated_conjecture,
( ( v_NB
= ( c_Message_Omsg_ONonce @ v_NBa ) )
| ( c_in @ ( c_Event_Oevent_OSays @ v_Aa @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_Aa ) @ ( c_Message_Omsg_OMPair @ v_x @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_Aa ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NAa ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OAgent @ v_Aa ) ) ) ) ) ) ) ) ) ) @ ( c_List_Oset @ v_evs3 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_20) ).
thf(17,negated_conjecture,
( ( v_B = v_Ba )
| ( c_in @ ( c_Event_Oevent_OSays @ v_Aa @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_Aa ) @ ( c_Message_Omsg_OMPair @ v_x @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_Aa ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NAa ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OAgent @ v_Aa ) ) ) ) ) ) ) ) ) ) @ ( c_List_Oset @ v_evs3 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_19) ).
thf(18,negated_conjecture,
( ( c_in @ ( c_Event_Oevent_OSays @ v_Ba @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_Ba ) @ ( c_Message_Omsg_OMPair @ v_x @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_Ba ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NBa ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OAgent @ v_Ba ) ) ) ) ) ) ) ) ) ) @ ( c_List_Oset @ v_evs3 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( v_NB
= ( c_Message_Omsg_ONonce @ v_NAa ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_13) ).
thf(19,negated_conjecture,
c_in @ v_evs3 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
thf(20,negated_conjecture,
~ ( c_in @ v_B @ c_Event_Obad @ tc_Message_Oagent ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(21,plain,
$false = $false,
inference(unfold_def,[status(thm)],[10]) ).
thf(22,plain,
( ( ! [V_evs: $i,V_B: $i,V_NC: $i,V_NB: $i,V_C: $i,V_NA: $i,V_A: $i] :
( ~ ( c_in @ V_evs @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ V_NC @ ( c_Message_Omsg_OMPair @ V_NB @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_C ) @ ( c_Message_Omsg_OAgent @ V_B ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ V_NB @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OAgent @ V_B ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ( c_in @ V_B @ c_Event_Obad @ tc_Message_Oagent )
| ( V_C = V_A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(23,plain,
( ( ! [V_evs: $i,V_B: $i,V_NC: $i,V_NB: $i,V_C: $i,V_NA: $i,V_A: $i] :
( ~ ( c_in @ V_evs @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ V_NC @ ( c_Message_Omsg_OMPair @ V_NB @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_C ) @ ( c_Message_Omsg_OAgent @ V_B ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ V_NB @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OAgent @ V_B ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ( c_in @ V_B @ c_Event_Obad @ tc_Message_Oagent )
| ( V_NC = V_NA ) ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(24,plain,
( ( ! [V_evs: $i,V_A: $i,V_NA_H: $i,V_NA: $i,V_A_H: $i,V_B: $i] :
( ~ ( c_in @ V_evs @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA_H @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A_H ) @ ( c_Message_Omsg_OAgent @ V_A ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OAgent @ V_B ) ) ) ) @ ( 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 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(25,plain,
( ( ! [V_evs: $i,V_B: $i,V_X: $i] :
( ~ ( c_in @ V_evs @ c_OtwayRees_Ootway @ ( 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 @ ( c_Event_Oevent_OSays @ ( v_sko__usf @ V_B @ V_X @ V_evs ) @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(26,plain,
( ( ! [V_c: $i,V_H: $i] :
( ~ ( c_in @ V_c @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_c @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(27,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)],[6]) ).
thf(28,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)],[7]) ).
thf(29,plain,
( ( ! [V_A: $i,V_B: $i,V_X: $i,V_evs: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ 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)],[8]) ).
thf(30,plain,
( ( ( c_in @ ( c_Event_Oevent_OSays @ v_Ba @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_Ba ) @ ( c_Message_Omsg_OMPair @ v_x @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_Ba ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NBa ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OAgent @ v_Ba ) ) ) ) ) ) ) ) ) ) @ ( c_List_Oset @ v_evs3 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( v_B = v_Aa ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(31,plain,
( ( ( v_B = v_Ba )
| ( v_B = v_Aa ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(32,plain,
( ( ( v_A != v_Aa )
| ( v_NA
!= ( c_Message_Omsg_ONonce @ v_NAa ) )
| ( v_NB
= ( c_Message_Omsg_ONonce @ v_NAa ) ) )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(33,plain,
( ( ( v_A != v_Aa )
| ( v_NA
!= ( c_Message_Omsg_ONonce @ v_NAa ) )
| ( v_B = v_Aa ) )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(34,plain,
( ( c_in @ ( c_Event_Oevent_OGets @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NAa ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_Aa ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_Ba ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_Aa ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NAa ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_Aa ) @ ( c_Message_Omsg_OAgent @ v_Ba ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_Ba ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NAa ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NBa ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_Aa ) @ ( c_Message_Omsg_OAgent @ v_Ba ) ) ) ) ) ) ) ) ) ) @ ( c_List_Oset @ v_evs3 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(35,plain,
( ( ( v_NB
= ( c_Message_Omsg_ONonce @ v_NBa ) )
| ( c_in @ ( c_Event_Oevent_OSays @ v_Aa @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_Aa ) @ ( c_Message_Omsg_OMPair @ v_x @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_Aa ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NAa ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OAgent @ v_Aa ) ) ) ) ) ) ) ) ) ) @ ( c_List_Oset @ v_evs3 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(36,plain,
( ( ( v_B = v_Ba )
| ( c_in @ ( c_Event_Oevent_OSays @ v_Aa @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_Aa ) @ ( c_Message_Omsg_OMPair @ v_x @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_Aa ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NAa ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OAgent @ v_Aa ) ) ) ) ) ) ) ) ) ) @ ( c_List_Oset @ v_evs3 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(37,plain,
( ( ( c_in @ ( c_Event_Oevent_OSays @ v_Ba @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_Ba ) @ ( c_Message_Omsg_OMPair @ v_x @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_Ba ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NBa ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OAgent @ v_Ba ) ) ) ) ) ) ) ) ) ) @ ( c_List_Oset @ v_evs3 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( v_NB
= ( c_Message_Omsg_ONonce @ v_NAa ) ) )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(38,plain,
( ( c_in @ v_evs3 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(39,plain,
( ( ~ ( c_in @ v_B @ c_Event_Obad @ tc_Message_Oagent ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(40,plain,
( ( ~ $false )
= $true ),
inference(polarity_switch,[status(thm)],[21]) ).
thf(41,plain,
( ( ! [V_evs: $i,V_B: $i,V_NC: $i,V_NB: $i,V_C: $i] :
( ~ ( c_in @ V_evs @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ V_NC @ ( c_Message_Omsg_OMPair @ V_NB @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_C ) @ ( c_Message_Omsg_OAgent @ V_B ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ! [V_NA: $i,V_A: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ V_NB @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OAgent @ V_B ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ( V_C = V_A )
| ( c_in @ V_B @ c_Event_Obad @ tc_Message_Oagent ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[22]) ).
thf(42,plain,
( ( ! [V_evs: $i,V_B: $i,V_NC: $i,V_NB: $i,V_C: $i] :
( ~ ( c_in @ V_evs @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ V_NC @ ( c_Message_Omsg_OMPair @ V_NB @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_C ) @ ( c_Message_Omsg_OAgent @ V_B ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ! [V_NA: $i] :
( ! [V_A: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ V_NB @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OAgent @ V_B ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ( V_NC = V_NA )
| ( c_in @ V_B @ c_Event_Obad @ tc_Message_Oagent ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[23]) ).
thf(43,plain,
( ( ! [V_evs: $i,V_A: $i,V_NA_H: $i,V_NA: $i] :
( ~ ( c_in @ V_evs @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [V_A_H: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA_H @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A_H ) @ ( c_Message_Omsg_OAgent @ V_A ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ! [V_B: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OAgent @ V_B ) ) ) ) @ ( 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 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[24]) ).
thf(44,plain,
( ( ! [V_evs: $i] :
( ~ ( c_in @ V_evs @ c_OtwayRees_Ootway @ ( 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 @ ( c_Event_Oevent_OSays @ ( v_sko__usf @ V_B @ V_X @ V_evs ) @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[25]) ).
thf(45,plain,
( ( ( v_B = v_Aa )
| ( c_in @ ( c_Event_Oevent_OSays @ v_Ba @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_Ba ) @ ( c_Message_Omsg_OMPair @ v_x @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_Ba ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NBa ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OAgent @ v_Ba ) ) ) ) ) ) ) ) ) ) @ ( c_List_Oset @ v_evs3 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ),
inference(extcnf_combined,[status(esa)],[30]) ).
thf(46,plain,
( ( ( v_A != v_Aa )
| ( v_NA
!= ( c_Message_Omsg_ONonce @ v_NAa ) )
| ( v_NB
= ( c_Message_Omsg_ONonce @ v_NAa ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[32]) ).
thf(47,plain,
( ( ( v_A != v_Aa )
| ( v_NA
!= ( c_Message_Omsg_ONonce @ v_NAa ) )
| ( v_B = v_Aa ) )
= $true ),
inference(extcnf_combined,[status(esa)],[33]) ).
thf(48,plain,
( ( ( v_NB
= ( c_Message_Omsg_ONonce @ v_NAa ) )
| ( c_in @ ( c_Event_Oevent_OSays @ v_Ba @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_Ba ) @ ( c_Message_Omsg_OMPair @ v_x @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_Ba ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NBa ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OAgent @ v_Ba ) ) ) ) ) ) ) ) ) ) @ ( c_List_Oset @ v_evs3 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ),
inference(extcnf_combined,[status(esa)],[37]) ).
thf(49,plain,
( ( ~ ( c_in @ v_B @ c_Event_Obad @ tc_Message_Oagent ) )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(50,plain,
( ( c_in @ v_evs3 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(51,plain,
( ( ( v_NB
= ( c_Message_Omsg_ONonce @ v_NAa ) )
| ( c_in @ ( c_Event_Oevent_OSays @ v_Ba @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_Ba ) @ ( c_Message_Omsg_OMPair @ v_x @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_Ba ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NBa ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OAgent @ v_Ba ) ) ) ) ) ) ) ) ) ) @ ( c_List_Oset @ v_evs3 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(52,plain,
( ( ( v_B = v_Ba )
| ( c_in @ ( c_Event_Oevent_OSays @ v_Aa @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_Aa ) @ ( c_Message_Omsg_OMPair @ v_x @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_Aa ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NAa ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OAgent @ v_Aa ) ) ) ) ) ) ) ) ) ) @ ( c_List_Oset @ v_evs3 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ),
inference(copy,[status(thm)],[36]) ).
thf(53,plain,
( ( ( v_NB
= ( c_Message_Omsg_ONonce @ v_NBa ) )
| ( c_in @ ( c_Event_Oevent_OSays @ v_Aa @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_Aa ) @ ( c_Message_Omsg_OMPair @ v_x @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_Aa ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NAa ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OAgent @ v_Aa ) ) ) ) ) ) ) ) ) ) @ ( c_List_Oset @ v_evs3 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(54,plain,
( ( c_in @ ( c_Event_Oevent_OGets @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NAa ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_Aa ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_Ba ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_Aa ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NAa ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_Aa ) @ ( c_Message_Omsg_OAgent @ v_Ba ) ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_Ba ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NAa ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NBa ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_Aa ) @ ( c_Message_Omsg_OAgent @ v_Ba ) ) ) ) ) ) ) ) ) ) @ ( c_List_Oset @ v_evs3 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true ),
inference(copy,[status(thm)],[34]) ).
thf(55,plain,
( ( ( v_A != v_Aa )
| ( v_NA
!= ( c_Message_Omsg_ONonce @ v_NAa ) )
| ( v_B = v_Aa ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(56,plain,
( ( ( v_A != v_Aa )
| ( v_NA
!= ( c_Message_Omsg_ONonce @ v_NAa ) )
| ( v_NB
= ( c_Message_Omsg_ONonce @ v_NAa ) ) )
= $true ),
inference(copy,[status(thm)],[46]) ).
thf(57,plain,
( ( ( v_B = v_Ba )
| ( v_B = v_Aa ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(58,plain,
( ( ( v_B = v_Aa )
| ( c_in @ ( c_Event_Oevent_OSays @ v_Ba @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_Ba ) @ ( c_Message_Omsg_OMPair @ v_x @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_Ba ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NBa ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OAgent @ v_Ba ) ) ) ) ) ) ) ) ) ) @ ( c_List_Oset @ v_evs3 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ),
inference(copy,[status(thm)],[45]) ).
thf(59,plain,
( ( ! [V_A: $i,V_B: $i,V_X: $i,V_evs: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ 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)],[29]) ).
thf(60,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)],[28]) ).
thf(61,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)],[27]) ).
thf(62,plain,
( ( ! [V_c: $i,V_H: $i] :
( ~ ( c_in @ V_c @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg )
| ( c_in @ V_c @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[26]) ).
thf(63,plain,
( ( ! [V_evs: $i] :
( ~ ( c_in @ V_evs @ c_OtwayRees_Ootway @ ( 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 @ ( c_Event_Oevent_OSays @ ( v_sko__usf @ V_B @ V_X @ V_evs ) @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(64,plain,
( ( ! [V_evs: $i,V_A: $i,V_NA_H: $i,V_NA: $i] :
( ~ ( c_in @ V_evs @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [V_A_H: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA_H @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A_H ) @ ( c_Message_Omsg_OAgent @ V_A ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ! [V_B: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OAgent @ V_B ) ) ) ) @ ( 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 ) ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(65,plain,
( ( ! [V_evs: $i,V_B: $i,V_NC: $i,V_NB: $i,V_C: $i] :
( ~ ( c_in @ V_evs @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ V_NC @ ( c_Message_Omsg_OMPair @ V_NB @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_C ) @ ( c_Message_Omsg_OAgent @ V_B ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ! [V_NA: $i] :
( ! [V_A: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ V_NB @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OAgent @ V_B ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ( V_NC = V_NA )
| ( c_in @ V_B @ c_Event_Obad @ tc_Message_Oagent ) ) ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(66,plain,
( ( ! [V_evs: $i,V_B: $i,V_NC: $i,V_NB: $i,V_C: $i] :
( ~ ( c_in @ V_evs @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ V_NC @ ( c_Message_Omsg_OMPair @ V_NB @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_C ) @ ( c_Message_Omsg_OAgent @ V_B ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ! [V_NA: $i,V_A: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ V_NB @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OAgent @ V_B ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg )
| ( V_C = V_A )
| ( c_in @ V_B @ c_Event_Obad @ tc_Message_Oagent ) ) ) )
= $true ),
inference(copy,[status(thm)],[41]) ).
thf(67,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[40]) ).
thf(68,plain,
( ( c_in @ v_B @ c_Event_Obad @ tc_Message_Oagent )
= $false ),
inference(extcnf_not_pos,[status(thm)],[49]) ).
thf(69,plain,
( ( ( v_NB
= ( c_Message_Omsg_ONonce @ v_NAa ) )
= $true )
| ( ( c_in @ ( c_Event_Oevent_OSays @ v_Ba @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_Ba ) @ ( c_Message_Omsg_OMPair @ v_x @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_Ba ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NBa ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OAgent @ v_Ba ) ) ) ) ) ) ) ) ) ) @ ( c_List_Oset @ v_evs3 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[51]) ).
thf(70,plain,
( ( ( v_B = v_Ba )
= $true )
| ( ( c_in @ ( c_Event_Oevent_OSays @ v_Aa @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_Aa ) @ ( c_Message_Omsg_OMPair @ v_x @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_Aa ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NAa ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OAgent @ v_Aa ) ) ) ) ) ) ) ) ) ) @ ( c_List_Oset @ v_evs3 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[52]) ).
thf(71,plain,
( ( ( v_NB
= ( c_Message_Omsg_ONonce @ v_NBa ) )
= $true )
| ( ( c_in @ ( c_Event_Oevent_OSays @ v_Aa @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_Aa ) @ ( c_Message_Omsg_OMPair @ v_x @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_Aa ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NAa ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OAgent @ v_Aa ) ) ) ) ) ) ) ) ) ) @ ( c_List_Oset @ v_evs3 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[53]) ).
thf(72,plain,
( ( ( ( v_A != v_Aa ) )
= $true )
| ( ( ( v_NA
!= ( c_Message_Omsg_ONonce @ v_NAa ) )
| ( v_B = v_Aa ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[55]) ).
thf(73,plain,
( ( ( ( v_A != v_Aa ) )
= $true )
| ( ( ( v_NA
!= ( c_Message_Omsg_ONonce @ v_NAa ) )
| ( v_NB
= ( c_Message_Omsg_ONonce @ v_NAa ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[56]) ).
thf(74,plain,
( ( ( v_B = v_Ba )
= $true )
| ( ( v_B = v_Aa )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[57]) ).
thf(75,plain,
( ( ( v_B = v_Aa )
= $true )
| ( ( c_in @ ( c_Event_Oevent_OSays @ v_Ba @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_Ba ) @ ( c_Message_Omsg_OMPair @ v_x @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_Ba ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NBa ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OAgent @ v_Ba ) ) ) ) ) ) ) ) ) ) @ ( c_List_Oset @ v_evs3 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[58]) ).
thf(76,plain,
! [SV1: $i] :
( ( ! [SY35: $i,SY36: $i,SY37: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV1 @ SY35 @ SY36 ) @ ( c_List_Oset @ SY37 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ SY36 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY37 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(77,plain,
! [SV2: $i] :
( ( ! [SY38: $i,SY39: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV2 @ SY38 ) @ ( c_Message_Oanalz @ SY39 ) @ tc_Message_Omsg )
| ( c_in @ SY38 @ ( c_Message_Oanalz @ SY39 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(78,plain,
! [SV3: $i] :
( ( ! [SY40: $i,SY41: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV3 @ SY40 ) @ ( c_Message_Oanalz @ SY41 ) @ tc_Message_Omsg )
| ( c_in @ SV3 @ ( c_Message_Oanalz @ SY41 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(79,plain,
! [SV4: $i] :
( ( ! [SY42: $i] :
( ~ ( c_in @ SV4 @ ( c_Message_Oanalz @ SY42 ) @ tc_Message_Omsg )
| ( c_in @ SV4 @ ( c_Message_Oparts @ SY42 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(80,plain,
! [SV5: $i] :
( ( ~ ( c_in @ SV5 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [SY43: $i,SY44: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OGets @ SY43 @ SY44 ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OSays @ ( v_sko__usf @ SY43 @ SY44 @ SV5 ) @ SY43 @ SY44 ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(81,plain,
! [SV6: $i] :
( ( ! [SY45: $i,SY46: $i,SY47: $i] :
( ~ ( c_in @ SV6 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [SY48: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY45 ) @ ( c_Message_Omsg_OMPair @ SY46 @ ( c_Message_Omsg_OMPair @ SY47 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY48 ) @ ( c_Message_Omsg_OAgent @ SY45 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV6 ) ) @ tc_Message_Omsg )
| ! [SY49: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY45 ) @ ( c_Message_Omsg_OMPair @ SY47 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY45 ) @ ( c_Message_Omsg_OAgent @ SY49 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV6 ) ) @ tc_Message_Omsg )
| ( c_in @ SY45 @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(82,plain,
! [SV7: $i] :
( ( ! [SY50: $i,SY51: $i,SY52: $i,SY53: $i] :
( ~ ( c_in @ SV7 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY50 ) @ ( c_Message_Omsg_OMPair @ SY51 @ ( c_Message_Omsg_OMPair @ SY52 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY53 ) @ ( c_Message_Omsg_OAgent @ SY50 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
| ! [SY54: $i] :
( ! [SY55: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY50 ) @ ( c_Message_Omsg_OMPair @ SY54 @ ( c_Message_Omsg_OMPair @ SY52 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY55 ) @ ( c_Message_Omsg_OAgent @ SY50 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
| ( SY51 = SY54 )
| ( c_in @ SY50 @ c_Event_Obad @ tc_Message_Oagent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(83,plain,
! [SV8: $i] :
( ( ! [SY56: $i,SY57: $i,SY58: $i,SY59: $i] :
( ~ ( c_in @ SV8 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY56 ) @ ( c_Message_Omsg_OMPair @ SY57 @ ( c_Message_Omsg_OMPair @ SY58 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY59 ) @ ( c_Message_Omsg_OAgent @ SY56 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV8 ) ) @ tc_Message_Omsg )
| ! [SY60: $i,SY61: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY56 ) @ ( c_Message_Omsg_OMPair @ SY60 @ ( c_Message_Omsg_OMPair @ SY58 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY61 ) @ ( c_Message_Omsg_OAgent @ SY56 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV8 ) ) @ tc_Message_Omsg )
| ( SY59 = SY61 )
| ( c_in @ SY56 @ c_Event_Obad @ tc_Message_Oagent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(84,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[67]) ).
thf(85,plain,
( ( ( v_A = v_Aa )
= $false )
| ( ( ( v_NA
!= ( c_Message_Omsg_ONonce @ v_NAa ) )
| ( v_B = v_Aa ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(86,plain,
( ( ( v_A = v_Aa )
= $false )
| ( ( ( v_NA
!= ( c_Message_Omsg_ONonce @ v_NAa ) )
| ( v_NB
= ( c_Message_Omsg_ONonce @ v_NAa ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[73]) ).
thf(87,plain,
! [SV9: $i,SV1: $i] :
( ( ! [SY62: $i,SY63: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV1 @ SV9 @ SY62 ) @ ( c_List_Oset @ SY63 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ SY62 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY63 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(88,plain,
! [SV10: $i,SV2: $i] :
( ( ! [SY64: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV2 @ SV10 ) @ ( c_Message_Oanalz @ SY64 ) @ tc_Message_Omsg )
| ( c_in @ SV10 @ ( c_Message_Oanalz @ SY64 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(89,plain,
! [SV11: $i,SV3: $i] :
( ( ! [SY65: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV3 @ SV11 ) @ ( c_Message_Oanalz @ SY65 ) @ tc_Message_Omsg )
| ( c_in @ SV3 @ ( c_Message_Oanalz @ SY65 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(90,plain,
! [SV12: $i,SV4: $i] :
( ( ~ ( c_in @ SV4 @ ( c_Message_Oanalz @ SV12 ) @ tc_Message_Omsg )
| ( c_in @ SV4 @ ( c_Message_Oparts @ SV12 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(91,plain,
! [SV5: $i] :
( ( ( ~ ( c_in @ SV5 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true )
| ( ( ! [SY43: $i,SY44: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OGets @ SY43 @ SY44 ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OSays @ ( v_sko__usf @ SY43 @ SY44 @ SV5 ) @ SY43 @ SY44 ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[80]) ).
thf(92,plain,
! [SV13: $i,SV6: $i] :
( ( ! [SY66: $i,SY67: $i] :
( ~ ( c_in @ SV6 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [SY68: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV13 ) @ ( c_Message_Omsg_OMPair @ SY66 @ ( c_Message_Omsg_OMPair @ SY67 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY68 ) @ ( c_Message_Omsg_OAgent @ SV13 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV6 ) ) @ tc_Message_Omsg )
| ! [SY69: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV13 ) @ ( c_Message_Omsg_OMPair @ SY67 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV13 ) @ ( c_Message_Omsg_OAgent @ SY69 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV6 ) ) @ tc_Message_Omsg )
| ( c_in @ SV13 @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(93,plain,
! [SV14: $i,SV7: $i] :
( ( ! [SY70: $i,SY71: $i,SY72: $i] :
( ~ ( c_in @ SV7 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV14 ) @ ( c_Message_Omsg_OMPair @ SY70 @ ( c_Message_Omsg_OMPair @ SY71 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY72 ) @ ( c_Message_Omsg_OAgent @ SV14 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
| ! [SY73: $i] :
( ! [SY74: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV14 ) @ ( c_Message_Omsg_OMPair @ SY73 @ ( c_Message_Omsg_OMPair @ SY71 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY74 ) @ ( c_Message_Omsg_OAgent @ SV14 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
| ( SY70 = SY73 )
| ( c_in @ SV14 @ c_Event_Obad @ tc_Message_Oagent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(94,plain,
! [SV15: $i,SV8: $i] :
( ( ! [SY75: $i,SY76: $i,SY77: $i] :
( ~ ( c_in @ SV8 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ SY75 @ ( c_Message_Omsg_OMPair @ SY76 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY77 ) @ ( c_Message_Omsg_OAgent @ SV15 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV8 ) ) @ tc_Message_Omsg )
| ! [SY78: $i,SY79: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ SY78 @ ( c_Message_Omsg_OMPair @ SY76 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY79 ) @ ( c_Message_Omsg_OAgent @ SV15 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV8 ) ) @ tc_Message_Omsg )
| ( SY77 = SY79 )
| ( c_in @ SV15 @ c_Event_Obad @ tc_Message_Oagent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(95,plain,
( ( ( ( v_NA
!= ( c_Message_Omsg_ONonce @ v_NAa ) ) )
= $true )
| ( ( v_B = v_Aa )
= $true )
| ( ( v_A = v_Aa )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[85]) ).
thf(96,plain,
( ( ( ( v_NA
!= ( c_Message_Omsg_ONonce @ v_NAa ) ) )
= $true )
| ( ( v_NB
= ( c_Message_Omsg_ONonce @ v_NAa ) )
= $true )
| ( ( v_A = v_Aa )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(97,plain,
! [SV16: $i,SV9: $i,SV1: $i] :
( ( ! [SY80: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV1 @ SV9 @ SV16 ) @ ( c_List_Oset @ SY80 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ SV16 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY80 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(98,plain,
! [SV17: $i,SV10: $i,SV2: $i] :
( ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV2 @ SV10 ) @ ( c_Message_Oanalz @ SV17 ) @ tc_Message_Omsg )
| ( c_in @ SV10 @ ( c_Message_Oanalz @ SV17 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(99,plain,
! [SV18: $i,SV11: $i,SV3: $i] :
( ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV3 @ SV11 ) @ ( c_Message_Oanalz @ SV18 ) @ tc_Message_Omsg )
| ( c_in @ SV3 @ ( c_Message_Oanalz @ SV18 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(100,plain,
! [SV12: $i,SV4: $i] :
( ( ( ~ ( c_in @ SV4 @ ( c_Message_Oanalz @ SV12 ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV4 @ ( c_Message_Oparts @ SV12 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[90]) ).
thf(101,plain,
! [SV5: $i] :
( ( ( c_in @ SV5 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false )
| ( ( ! [SY43: $i,SY44: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OGets @ SY43 @ SY44 ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OSays @ ( v_sko__usf @ SY43 @ SY44 @ SV5 ) @ SY43 @ SY44 ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[91]) ).
thf(102,plain,
! [SV19: $i,SV13: $i,SV6: $i] :
( ( ! [SY81: $i] :
( ~ ( c_in @ SV6 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [SY82: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV13 ) @ ( c_Message_Omsg_OMPair @ SV19 @ ( c_Message_Omsg_OMPair @ SY81 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY82 ) @ ( c_Message_Omsg_OAgent @ SV13 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV6 ) ) @ tc_Message_Omsg )
| ! [SY69: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV13 ) @ ( c_Message_Omsg_OMPair @ SY81 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV13 ) @ ( c_Message_Omsg_OAgent @ SY69 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV6 ) ) @ tc_Message_Omsg )
| ( c_in @ SV13 @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(103,plain,
! [SV20: $i,SV14: $i,SV7: $i] :
( ( ! [SY84: $i,SY85: $i] :
( ~ ( c_in @ SV7 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV14 ) @ ( c_Message_Omsg_OMPair @ SV20 @ ( c_Message_Omsg_OMPair @ SY84 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY85 ) @ ( c_Message_Omsg_OAgent @ SV14 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
| ! [SY86: $i] :
( ! [SY74: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV14 ) @ ( c_Message_Omsg_OMPair @ SY86 @ ( c_Message_Omsg_OMPair @ SY84 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY74 ) @ ( c_Message_Omsg_OAgent @ SV14 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
| ( SV20 = SY86 )
| ( c_in @ SV14 @ c_Event_Obad @ tc_Message_Oagent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(104,plain,
! [SV21: $i,SV15: $i,SV8: $i] :
( ( ! [SY88: $i,SY89: $i] :
( ~ ( c_in @ SV8 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ SV21 @ ( c_Message_Omsg_OMPair @ SY88 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY89 ) @ ( c_Message_Omsg_OAgent @ SV15 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV8 ) ) @ tc_Message_Omsg )
| ! [SY78: $i,SY79: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ SY78 @ ( c_Message_Omsg_OMPair @ SY88 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY79 ) @ ( c_Message_Omsg_OAgent @ SV15 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV8 ) ) @ tc_Message_Omsg )
| ( SY89 = SY79 )
| ( c_in @ SV15 @ c_Event_Obad @ tc_Message_Oagent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(105,plain,
( ( ( v_NA
= ( c_Message_Omsg_ONonce @ v_NAa ) )
= $false )
| ( ( v_B = v_Aa )
= $true )
| ( ( v_A = v_Aa )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[95]) ).
thf(106,plain,
( ( ( v_NA
= ( c_Message_Omsg_ONonce @ v_NAa ) )
= $false )
| ( ( v_NB
= ( c_Message_Omsg_ONonce @ v_NAa ) )
= $true )
| ( ( v_A = v_Aa )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[96]) ).
thf(107,plain,
! [SV22: $i,SV16: $i,SV9: $i,SV1: $i] :
( ( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV1 @ SV9 @ SV16 ) @ ( c_List_Oset @ SV22 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ SV16 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV22 ) ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[97]) ).
thf(108,plain,
! [SV17: $i,SV10: $i,SV2: $i] :
( ( ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV2 @ SV10 ) @ ( c_Message_Oanalz @ SV17 ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV10 @ ( c_Message_Oanalz @ SV17 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(109,plain,
! [SV18: $i,SV11: $i,SV3: $i] :
( ( ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV3 @ SV11 ) @ ( c_Message_Oanalz @ SV18 ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV3 @ ( c_Message_Oanalz @ SV18 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[99]) ).
thf(110,plain,
! [SV12: $i,SV4: $i] :
( ( ( c_in @ SV4 @ ( c_Message_Oanalz @ SV12 ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV4 @ ( c_Message_Oparts @ SV12 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(111,plain,
! [SV5: $i,SV23: $i] :
( ( ( ! [SY92: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OGets @ SV23 @ SY92 ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OSays @ ( v_sko__usf @ SV23 @ SY92 @ SV5 ) @ SV23 @ SY92 ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( c_in @ SV5 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[101]) ).
thf(112,plain,
! [SV24: $i,SV19: $i,SV13: $i,SV6: $i] :
( ( ~ ( c_in @ SV6 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [SY93: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV13 ) @ ( c_Message_Omsg_OMPair @ SV19 @ ( c_Message_Omsg_OMPair @ SV24 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY93 ) @ ( c_Message_Omsg_OAgent @ SV13 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV6 ) ) @ tc_Message_Omsg )
| ! [SY94: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV13 ) @ ( c_Message_Omsg_OMPair @ SV24 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV13 ) @ ( c_Message_Omsg_OAgent @ SY94 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV6 ) ) @ tc_Message_Omsg )
| ( c_in @ SV13 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(113,plain,
! [SV25: $i,SV20: $i,SV14: $i,SV7: $i] :
( ( ! [SY95: $i] :
( ~ ( c_in @ SV7 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV14 ) @ ( c_Message_Omsg_OMPair @ SV20 @ ( c_Message_Omsg_OMPair @ SV25 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY95 ) @ ( c_Message_Omsg_OAgent @ SV14 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
| ! [SY96: $i] :
( ! [SY97: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV14 ) @ ( c_Message_Omsg_OMPair @ SY96 @ ( c_Message_Omsg_OMPair @ SV25 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY97 ) @ ( c_Message_Omsg_OAgent @ SV14 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
| ( SV20 = SY96 )
| ( c_in @ SV14 @ c_Event_Obad @ tc_Message_Oagent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[103]) ).
thf(114,plain,
! [SV26: $i,SV21: $i,SV15: $i,SV8: $i] :
( ( ! [SY98: $i] :
( ~ ( c_in @ SV8 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ SV21 @ ( c_Message_Omsg_OMPair @ SV26 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY98 ) @ ( c_Message_Omsg_OAgent @ SV15 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV8 ) ) @ tc_Message_Omsg )
| ! [SY99: $i,SY100: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ SY99 @ ( c_Message_Omsg_OMPair @ SV26 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY100 ) @ ( c_Message_Omsg_OAgent @ SV15 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV8 ) ) @ tc_Message_Omsg )
| ( SY98 = SY100 )
| ( c_in @ SV15 @ c_Event_Obad @ tc_Message_Oagent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(115,plain,
! [SV22: $i,SV16: $i,SV9: $i,SV1: $i] :
( ( ( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV1 @ SV9 @ SV16 ) @ ( c_List_Oset @ SV22 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( c_in @ SV16 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV22 ) ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[107]) ).
thf(116,plain,
! [SV17: $i,SV10: $i,SV2: $i] :
( ( ( c_in @ ( c_Message_Omsg_OMPair @ SV2 @ SV10 ) @ ( c_Message_Oanalz @ SV17 ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV10 @ ( c_Message_Oanalz @ SV17 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[108]) ).
thf(117,plain,
! [SV18: $i,SV11: $i,SV3: $i] :
( ( ( c_in @ ( c_Message_Omsg_OMPair @ SV3 @ SV11 ) @ ( c_Message_Oanalz @ SV18 ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV3 @ ( c_Message_Oanalz @ SV18 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[109]) ).
thf(118,plain,
! [SV5: $i,SV27: $i,SV23: $i] :
( ( ( ~ ( c_in @ ( c_Event_Oevent_OGets @ SV23 @ SV27 ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OSays @ ( v_sko__usf @ SV23 @ SV27 @ SV5 ) @ SV23 @ SV27 ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( c_in @ SV5 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(119,plain,
! [SV24: $i,SV19: $i,SV13: $i,SV6: $i] :
( ( ( ~ ( c_in @ SV6 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true )
| ( ( ! [SY93: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV13 ) @ ( c_Message_Omsg_OMPair @ SV19 @ ( c_Message_Omsg_OMPair @ SV24 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY93 ) @ ( c_Message_Omsg_OAgent @ SV13 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV6 ) ) @ tc_Message_Omsg )
| ! [SY94: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV13 ) @ ( c_Message_Omsg_OMPair @ SV24 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV13 ) @ ( c_Message_Omsg_OAgent @ SY94 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV6 ) ) @ tc_Message_Omsg )
| ( c_in @ SV13 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[112]) ).
thf(120,plain,
! [SV28: $i,SV25: $i,SV20: $i,SV14: $i,SV7: $i] :
( ( ~ ( c_in @ SV7 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV14 ) @ ( c_Message_Omsg_OMPair @ SV20 @ ( c_Message_Omsg_OMPair @ SV25 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV28 ) @ ( c_Message_Omsg_OAgent @ SV14 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
| ! [SY96: $i] :
( ! [SY97: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV14 ) @ ( c_Message_Omsg_OMPair @ SY96 @ ( c_Message_Omsg_OMPair @ SV25 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY97 ) @ ( c_Message_Omsg_OAgent @ SV14 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
| ( SV20 = SY96 )
| ( c_in @ SV14 @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[113]) ).
thf(121,plain,
! [SV29: $i,SV26: $i,SV21: $i,SV15: $i,SV8: $i] :
( ( ~ ( c_in @ SV8 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ SV21 @ ( c_Message_Omsg_OMPair @ SV26 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV29 ) @ ( c_Message_Omsg_OAgent @ SV15 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV8 ) ) @ tc_Message_Omsg )
| ! [SY103: $i,SY104: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ SY103 @ ( c_Message_Omsg_OMPair @ SV26 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY104 ) @ ( c_Message_Omsg_OAgent @ SV15 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV8 ) ) @ tc_Message_Omsg )
| ( SV29 = SY104 )
| ( c_in @ SV15 @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(122,plain,
! [SV22: $i,SV16: $i,SV9: $i,SV1: $i] :
( ( ( c_in @ ( c_Event_Oevent_OSays @ SV1 @ SV9 @ SV16 ) @ ( c_List_Oset @ SV22 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ SV16 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV22 ) ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[115]) ).
thf(123,plain,
! [SV5: $i,SV27: $i,SV23: $i] :
( ( ( ~ ( c_in @ ( c_Event_Oevent_OGets @ SV23 @ SV27 ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( c_in @ ( c_Event_Oevent_OSays @ ( v_sko__usf @ SV23 @ SV27 @ SV5 ) @ SV23 @ SV27 ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true )
| ( ( c_in @ SV5 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(124,plain,
! [SV24: $i,SV19: $i,SV13: $i,SV6: $i] :
( ( ( c_in @ SV6 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false )
| ( ( ! [SY93: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV13 ) @ ( c_Message_Omsg_OMPair @ SV19 @ ( c_Message_Omsg_OMPair @ SV24 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY93 ) @ ( c_Message_Omsg_OAgent @ SV13 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV6 ) ) @ tc_Message_Omsg )
| ! [SY94: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV13 ) @ ( c_Message_Omsg_OMPair @ SV24 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV13 ) @ ( c_Message_Omsg_OAgent @ SY94 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV6 ) ) @ tc_Message_Omsg )
| ( c_in @ SV13 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(125,plain,
! [SV28: $i,SV25: $i,SV20: $i,SV14: $i,SV7: $i] :
( ( ( ~ ( c_in @ SV7 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV14 ) @ ( c_Message_Omsg_OMPair @ SV20 @ ( c_Message_Omsg_OMPair @ SV25 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV28 ) @ ( c_Message_Omsg_OAgent @ SV14 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
| ! [SY96: $i] :
( ! [SY97: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV14 ) @ ( c_Message_Omsg_OMPair @ SY96 @ ( c_Message_Omsg_OMPair @ SV25 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY97 ) @ ( c_Message_Omsg_OAgent @ SV14 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
| ( SV20 = SY96 )
| ( c_in @ SV14 @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[120]) ).
thf(126,plain,
! [SV29: $i,SV26: $i,SV21: $i,SV15: $i,SV8: $i] :
( ( ( ~ ( c_in @ SV8 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ SV21 @ ( c_Message_Omsg_OMPair @ SV26 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV29 ) @ ( c_Message_Omsg_OAgent @ SV15 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV8 ) ) @ tc_Message_Omsg )
| ! [SY103: $i,SY104: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ SY103 @ ( c_Message_Omsg_OMPair @ SV26 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY104 ) @ ( c_Message_Omsg_OAgent @ SV15 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV8 ) ) @ tc_Message_Omsg )
| ( SV29 = SY104 )
| ( c_in @ SV15 @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[121]) ).
thf(127,plain,
! [SV5: $i,SV27: $i,SV23: $i] :
( ( ( c_in @ ( c_Event_Oevent_OGets @ SV23 @ SV27 ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ ( c_Event_Oevent_OSays @ ( v_sko__usf @ SV23 @ SV27 @ SV5 ) @ SV23 @ SV27 ) @ ( c_List_Oset @ SV5 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true )
| ( ( c_in @ SV5 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(128,plain,
! [SV6: $i,SV24: $i,SV19: $i,SV13: $i] :
( ( ( ! [SY93: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV13 ) @ ( c_Message_Omsg_OMPair @ SV19 @ ( c_Message_Omsg_OMPair @ SV24 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY93 ) @ ( c_Message_Omsg_OAgent @ SV13 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV6 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ! [SY94: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV13 ) @ ( c_Message_Omsg_OMPair @ SV24 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV13 ) @ ( c_Message_Omsg_OAgent @ SY94 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV6 ) ) @ tc_Message_Omsg )
| ( c_in @ SV13 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true )
| ( ( c_in @ SV6 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[124]) ).
thf(129,plain,
! [SV28: $i,SV25: $i,SV20: $i,SV14: $i,SV7: $i] :
( ( ( c_in @ SV7 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false )
| ( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV14 ) @ ( c_Message_Omsg_OMPair @ SV20 @ ( c_Message_Omsg_OMPair @ SV25 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV28 ) @ ( c_Message_Omsg_OAgent @ SV14 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
| ! [SY96: $i] :
( ! [SY97: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV14 ) @ ( c_Message_Omsg_OMPair @ SY96 @ ( c_Message_Omsg_OMPair @ SV25 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY97 ) @ ( c_Message_Omsg_OAgent @ SV14 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
| ( SV20 = SY96 )
| ( c_in @ SV14 @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[125]) ).
thf(130,plain,
! [SV29: $i,SV26: $i,SV21: $i,SV15: $i,SV8: $i] :
( ( ( c_in @ SV8 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false )
| ( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ SV21 @ ( c_Message_Omsg_OMPair @ SV26 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV29 ) @ ( c_Message_Omsg_OAgent @ SV15 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV8 ) ) @ tc_Message_Omsg )
| ! [SY103: $i,SY104: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ SY103 @ ( c_Message_Omsg_OMPair @ SV26 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY104 ) @ ( c_Message_Omsg_OAgent @ SV15 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV8 ) ) @ tc_Message_Omsg )
| ( SV29 = SY104 )
| ( c_in @ SV15 @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[126]) ).
thf(131,plain,
! [SV6: $i,SV30: $i,SV24: $i,SV19: $i,SV13: $i] :
( ( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV13 ) @ ( c_Message_Omsg_OMPair @ SV19 @ ( c_Message_Omsg_OMPair @ SV24 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV30 ) @ ( c_Message_Omsg_OAgent @ SV13 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV6 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ! [SY94: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV13 ) @ ( c_Message_Omsg_OMPair @ SV24 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV13 ) @ ( c_Message_Omsg_OAgent @ SY94 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV6 ) ) @ tc_Message_Omsg )
| ( c_in @ SV13 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true )
| ( ( c_in @ SV6 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(132,plain,
! [SV7: $i,SV28: $i,SV25: $i,SV20: $i,SV14: $i] :
( ( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV14 ) @ ( c_Message_Omsg_OMPair @ SV20 @ ( c_Message_Omsg_OMPair @ SV25 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV28 ) @ ( c_Message_Omsg_OAgent @ SV14 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ! [SY96: $i] :
( ! [SY97: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV14 ) @ ( c_Message_Omsg_OMPair @ SY96 @ ( c_Message_Omsg_OMPair @ SV25 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY97 ) @ ( c_Message_Omsg_OAgent @ SV14 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
| ( SV20 = SY96 )
| ( c_in @ SV14 @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true )
| ( ( c_in @ SV7 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[129]) ).
thf(133,plain,
! [SV8: $i,SV29: $i,SV26: $i,SV21: $i,SV15: $i] :
( ( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ SV21 @ ( c_Message_Omsg_OMPair @ SV26 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV29 ) @ ( c_Message_Omsg_OAgent @ SV15 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV8 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ! [SY103: $i,SY104: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ SY103 @ ( c_Message_Omsg_OMPair @ SV26 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY104 ) @ ( c_Message_Omsg_OAgent @ SV15 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV8 ) ) @ tc_Message_Omsg )
| ( SV29 = SY104 )
| ( c_in @ SV15 @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true )
| ( ( c_in @ SV8 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[130]) ).
thf(134,plain,
! [SV6: $i,SV30: $i,SV24: $i,SV19: $i,SV13: $i] :
( ( ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV13 ) @ ( c_Message_Omsg_OMPair @ SV19 @ ( c_Message_Omsg_OMPair @ SV24 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV30 ) @ ( c_Message_Omsg_OAgent @ SV13 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV6 ) ) @ tc_Message_Omsg )
= $false )
| ( ( ! [SY94: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV13 ) @ ( c_Message_Omsg_OMPair @ SV24 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV13 ) @ ( c_Message_Omsg_OAgent @ SY94 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV6 ) ) @ tc_Message_Omsg )
| ( c_in @ SV13 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true )
| ( ( c_in @ SV6 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[131]) ).
thf(135,plain,
! [SV7: $i,SV28: $i,SV25: $i,SV20: $i,SV14: $i] :
( ( ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV14 ) @ ( c_Message_Omsg_OMPair @ SV20 @ ( c_Message_Omsg_OMPair @ SV25 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV28 ) @ ( c_Message_Omsg_OAgent @ SV14 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
= $false )
| ( ( ! [SY96: $i] :
( ! [SY97: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV14 ) @ ( c_Message_Omsg_OMPair @ SY96 @ ( c_Message_Omsg_OMPair @ SV25 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY97 ) @ ( c_Message_Omsg_OAgent @ SV14 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
| ( SV20 = SY96 )
| ( c_in @ SV14 @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true )
| ( ( c_in @ SV7 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(136,plain,
! [SV8: $i,SV29: $i,SV26: $i,SV21: $i,SV15: $i] :
( ( ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ SV21 @ ( c_Message_Omsg_OMPair @ SV26 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV29 ) @ ( c_Message_Omsg_OAgent @ SV15 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV8 ) ) @ tc_Message_Omsg )
= $false )
| ( ( ! [SY103: $i,SY104: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ SY103 @ ( c_Message_Omsg_OMPair @ SV26 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY104 ) @ ( c_Message_Omsg_OAgent @ SV15 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV8 ) ) @ tc_Message_Omsg )
| ( SV29 = SY104 )
| ( c_in @ SV15 @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true )
| ( ( c_in @ SV8 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[133]) ).
thf(137,plain,
! [SV30: $i,SV19: $i,SV6: $i,SV24: $i,SV13: $i] :
( ( ( ! [SY94: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV13 ) @ ( c_Message_Omsg_OMPair @ SV24 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV13 ) @ ( c_Message_Omsg_OAgent @ SY94 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV6 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV13 @ c_Event_Obad @ tc_Message_Oagent )
= $true )
| ( ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV13 ) @ ( c_Message_Omsg_OMPair @ SV19 @ ( c_Message_Omsg_OMPair @ SV24 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV30 ) @ ( c_Message_Omsg_OAgent @ SV13 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV6 ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV6 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[134]) ).
thf(138,plain,
! [SV28: $i,SV20: $i,SV7: $i,SV25: $i,SV31: $i,SV14: $i] :
( ( ( ! [SY105: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV14 ) @ ( c_Message_Omsg_OMPair @ SV31 @ ( c_Message_Omsg_OMPair @ SV25 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY105 ) @ ( c_Message_Omsg_OAgent @ SV14 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
| ( SV20 = SV31 )
| ( c_in @ SV14 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true )
| ( ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV14 ) @ ( c_Message_Omsg_OMPair @ SV20 @ ( c_Message_Omsg_OMPair @ SV25 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV28 ) @ ( c_Message_Omsg_OAgent @ SV14 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV7 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[135]) ).
thf(139,plain,
! [SV21: $i,SV29: $i,SV8: $i,SV26: $i,SV32: $i,SV15: $i] :
( ( ( ! [SY106: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ SV32 @ ( c_Message_Omsg_OMPair @ SV26 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY106 ) @ ( c_Message_Omsg_OAgent @ SV15 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV8 ) ) @ tc_Message_Omsg )
| ( SV29 = SY106 )
| ( c_in @ SV15 @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true )
| ( ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ SV21 @ ( c_Message_Omsg_OMPair @ SV26 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV29 ) @ ( c_Message_Omsg_OAgent @ SV15 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV8 ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV8 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[136]) ).
thf(140,plain,
! [SV30: $i,SV19: $i,SV6: $i,SV33: $i,SV24: $i,SV13: $i] :
( ( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV13 ) @ ( c_Message_Omsg_OMPair @ SV24 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV13 ) @ ( c_Message_Omsg_OAgent @ SV33 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV6 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV13 @ c_Event_Obad @ tc_Message_Oagent )
= $true )
| ( ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV13 ) @ ( c_Message_Omsg_OMPair @ SV19 @ ( c_Message_Omsg_OMPair @ SV24 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV30 ) @ ( c_Message_Omsg_OAgent @ SV13 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV6 ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV6 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[137]) ).
thf(141,plain,
! [SV28: $i,SV20: $i,SV7: $i,SV25: $i,SV31: $i,SV14: $i] :
( ( ( ! [SY105: $i] :
~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV14 ) @ ( c_Message_Omsg_OMPair @ SV31 @ ( c_Message_Omsg_OMPair @ SV25 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY105 ) @ ( c_Message_Omsg_OAgent @ SV14 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ( SV20 = SV31 )
| ( c_in @ SV14 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true )
| ( ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV14 ) @ ( c_Message_Omsg_OMPair @ SV20 @ ( c_Message_Omsg_OMPair @ SV25 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV28 ) @ ( c_Message_Omsg_OAgent @ SV14 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV7 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[138]) ).
thf(142,plain,
! [SV21: $i,SV29: $i,SV8: $i,SV34: $i,SV26: $i,SV32: $i,SV15: $i] :
( ( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ SV32 @ ( c_Message_Omsg_OMPair @ SV26 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV34 ) @ ( c_Message_Omsg_OAgent @ SV15 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV8 ) ) @ tc_Message_Omsg )
| ( SV29 = SV34 )
| ( c_in @ SV15 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true )
| ( ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ SV21 @ ( c_Message_Omsg_OMPair @ SV26 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV29 ) @ ( c_Message_Omsg_OAgent @ SV15 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV8 ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV8 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(143,plain,
! [SV30: $i,SV19: $i,SV6: $i,SV33: $i,SV24: $i,SV13: $i] :
( ( ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV13 ) @ ( c_Message_Omsg_OMPair @ SV24 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV13 ) @ ( c_Message_Omsg_OAgent @ SV33 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV6 ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV13 @ c_Event_Obad @ tc_Message_Oagent )
= $true )
| ( ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV13 ) @ ( c_Message_Omsg_OMPair @ SV19 @ ( c_Message_Omsg_OMPair @ SV24 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV30 ) @ ( c_Message_Omsg_OAgent @ SV13 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV6 ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV6 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[140]) ).
thf(144,plain,
! [SV28: $i,SV20: $i,SV7: $i,SV35: $i,SV25: $i,SV31: $i,SV14: $i] :
( ( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV14 ) @ ( c_Message_Omsg_OMPair @ SV31 @ ( c_Message_Omsg_OMPair @ SV25 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV35 ) @ ( c_Message_Omsg_OAgent @ SV14 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ( SV20 = SV31 )
| ( c_in @ SV14 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true )
| ( ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV14 ) @ ( c_Message_Omsg_OMPair @ SV20 @ ( c_Message_Omsg_OMPair @ SV25 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV28 ) @ ( c_Message_Omsg_OAgent @ SV14 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV7 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(145,plain,
! [SV21: $i,SV29: $i,SV8: $i,SV34: $i,SV26: $i,SV32: $i,SV15: $i] :
( ( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ SV32 @ ( c_Message_Omsg_OMPair @ SV26 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV34 ) @ ( c_Message_Omsg_OAgent @ SV15 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV8 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ( SV29 = SV34 )
| ( c_in @ SV15 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true )
| ( ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ SV21 @ ( c_Message_Omsg_OMPair @ SV26 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV29 ) @ ( c_Message_Omsg_OAgent @ SV15 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV8 ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV8 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[142]) ).
thf(146,plain,
! [SV28: $i,SV20: $i,SV7: $i,SV35: $i,SV25: $i,SV31: $i,SV14: $i] :
( ( ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV14 ) @ ( c_Message_Omsg_OMPair @ SV31 @ ( c_Message_Omsg_OMPair @ SV25 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV35 ) @ ( c_Message_Omsg_OAgent @ SV14 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
= $false )
| ( ( ( SV20 = SV31 )
| ( c_in @ SV14 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true )
| ( ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV14 ) @ ( c_Message_Omsg_OMPair @ SV20 @ ( c_Message_Omsg_OMPair @ SV25 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV28 ) @ ( c_Message_Omsg_OAgent @ SV14 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV7 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(147,plain,
! [SV21: $i,SV29: $i,SV8: $i,SV34: $i,SV26: $i,SV32: $i,SV15: $i] :
( ( ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ SV32 @ ( c_Message_Omsg_OMPair @ SV26 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV34 ) @ ( c_Message_Omsg_OAgent @ SV15 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV8 ) ) @ tc_Message_Omsg )
= $false )
| ( ( ( SV29 = SV34 )
| ( c_in @ SV15 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true )
| ( ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ SV21 @ ( c_Message_Omsg_OMPair @ SV26 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV29 ) @ ( c_Message_Omsg_OAgent @ SV15 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV8 ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV8 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[145]) ).
thf(148,plain,
! [SV28: $i,SV7: $i,SV35: $i,SV25: $i,SV14: $i,SV31: $i,SV20: $i] :
( ( ( SV20 = SV31 )
= $true )
| ( ( c_in @ SV14 @ c_Event_Obad @ tc_Message_Oagent )
= $true )
| ( ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV14 ) @ ( c_Message_Omsg_OMPair @ SV31 @ ( c_Message_Omsg_OMPair @ SV25 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV35 ) @ ( c_Message_Omsg_OAgent @ SV14 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV14 ) @ ( c_Message_Omsg_OMPair @ SV20 @ ( c_Message_Omsg_OMPair @ SV25 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV28 ) @ ( c_Message_Omsg_OAgent @ SV14 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV7 ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV7 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[146]) ).
thf(149,plain,
! [SV21: $i,SV8: $i,SV26: $i,SV32: $i,SV15: $i,SV34: $i,SV29: $i] :
( ( ( SV29 = SV34 )
= $true )
| ( ( c_in @ SV15 @ c_Event_Obad @ tc_Message_Oagent )
= $true )
| ( ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ SV32 @ ( c_Message_Omsg_OMPair @ SV26 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV34 ) @ ( c_Message_Omsg_OAgent @ SV15 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV8 ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV15 ) @ ( c_Message_Omsg_OMPair @ SV21 @ ( c_Message_Omsg_OMPair @ SV26 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV29 ) @ ( c_Message_Omsg_OAgent @ SV15 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV8 ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV8 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[147]) ).
thf(150,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[50,149,148,143,127,122,117,116,110,106,105,84,75,74,71,70,69,68,54]) ).
thf(151,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[150]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV303-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 15 11:57:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.40
% 0.13/0.40 No.of.Axioms: 18
% 0.13/0.40
% 0.13/0.40 Length.of.Defs: 0
% 0.13/0.40
% 0.13/0.40 Contains.Choice.Funs: false
% 0.19/0.46 (rf:0,axioms:18,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:20,loop_count:0,foatp_calls:0,translation:fof_full)..........
% 0.74/0.91
% 0.74/0.91 ********************************
% 0.74/0.91 * All subproblems solved! *
% 0.74/0.91 ********************************
% 0.74/0.91 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:18,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:150,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.74/0.93
% 0.74/0.93 %**** Beginning of derivation protocol ****
% 0.74/0.93 % SZS output start CNFRefutation
% See solution above
% 0.74/0.93
% 0.74/0.93 %**** End of derivation protocol ****
% 0.74/0.93 %**** no. of clauses in derivation: 151 ****
% 0.74/0.93 %**** clause counter: 150 ****
% 0.74/0.93
% 0.74/0.93 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:18,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:150,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------