TSTP Solution File: SWV304-2 by LEO-II---1.7.0
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%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SWV304-2 : 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 20:11:43 EDT 2022
% Result : Unsatisfiable 0.57s 0.82s
% Output : CNFRefutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 59
% Syntax : Number of formulae : 196 ( 95 unt; 38 typ; 0 def)
% Number of atoms : 778 ( 205 equ; 0 cnn)
% Maximal formula atoms : 4 ( 4 avg)
% Number of connectives : 3656 ( 153 ~; 220 |; 0 &;3283 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 38 ( 38 >; 0 *; 0 +; 0 <<)
% Number of symbols : 41 ( 38 usr; 21 con; 0-5 aty)
% Number of variables : 389 ( 0 ^ 389 !; 0 ?; 389 :)
% 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_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_Message_Osynth,type,
c_Message_Osynth: $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_c_insert,type,
c_insert: $i > $i > $i > $i ).
thf(tp_c_union,type,
c_union: $i > $i > $i > $i ).
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_B,type,
v_B: $i ).
thf(tp_v_Ba,type,
v_Ba: $i ).
thf(tp_v_K,type,
v_K: $i ).
thf(tp_v_Ka,type,
v_Ka: $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_X,type,
v_X: $i ).
thf(tp_v_evs4,type,
v_evs4: $i ).
thf(tp_v_sko__uwX,type,
v_sko__uwX: $i > $i > $i > $i ).
thf(tp_v_sko__vCt,type,
v_sko__vCt: $i > $i > $i > $i > $i > $i ).
thf(tp_v_x,type,
v_x: $i ).
thf(1,axiom,
! [V_c: $i,V_A: $i,V_B: $i,T_a: $i] :
( ~ ( c_in @ V_c @ ( c_union @ V_A @ V_B @ T_a ) @ T_a )
| ( c_in @ V_c @ V_B @ T_a )
| ( c_in @ V_c @ V_A @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).
thf(2,axiom,
! [V_evs: $i,V_A: $i] :
( ~ ( c_in @ V_evs @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ V_A ) ) @ ( 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_OSpy__see__shrK__D__dest_0) ).
thf(3,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__uwX @ 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(4,axiom,
! [V_evs: $i,V_B: $i,V_NA: $i,V_NB: $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_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 )
| ( c_in @ ( c_Event_Oevent_OSays @ V_B @ 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_B ) @ ( c_Message_Omsg_OMPair @ ( v_sko__vCt @ V_A @ V_B @ V_NA @ V_NB @ V_evs ) @ ( 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_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OtwayRees_OCrypt__imp__OR2__dest_0) ).
thf(5,axiom,
! [V_X: $i,V_H: $i] :
( ~ ( c_in @ V_X @ V_H @ tc_Message_Omsg )
| ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Osynth_OInj_0) ).
thf(6,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(7,axiom,
! [V_X: $i,V_Y: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg )
| ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__synth__analz__iff1_0) ).
thf(8,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_Y @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__parts_0) ).
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_Z: $i,V_X: $i,V_H: $i] :
( ~ ( c_in @ V_Z @ ( c_Message_Oparts @ ( c_insert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
| ~ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg )
| ( c_in @ V_Z @ ( c_union @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OFake__parts__insert__in__Un__dest_0) ).
thf(12,axiom,
! [V_K: $i,V_X: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_OKey @ V_K ) @ V_H @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OCrypt__synth_0) ).
thf(13,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(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_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_B @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_A ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OKey @ v_K ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ v_NB @ ( c_Message_Omsg_OKey @ v_K ) ) ) ) ) ) @ ( c_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
thf(17,negated_conjecture,
c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ v_NB @ ( c_Message_Omsg_OKey @ v_K ) ) ) @ ( c_Message_Oparts @ ( c_insert @ v_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
thf(18,negated_conjecture,
c_in @ ( c_Event_Oevent_OGets @ v_Ba @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NAa ) @ ( c_Message_Omsg_OMPair @ v_X @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_Ba ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NBa ) @ ( c_Message_Omsg_OKey @ v_Ka ) ) ) ) ) ) @ ( c_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
thf(19,negated_conjecture,
! [V_U: $i] :
( ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_B @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_A ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OKey @ v_K ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ v_NB @ ( c_Message_Omsg_OKey @ v_K ) ) ) ) ) ) @ ( c_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ v_B @ 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_B ) @ ( c_Message_Omsg_OMPair @ V_U @ ( 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_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ v_NB @ ( c_Message_Omsg_OKey @ v_K ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4 ) ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_11) ).
thf(20,negated_conjecture,
( ( c_in @ ( c_Event_Oevent_OSays @ v_B @ 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_B ) @ ( c_Message_Omsg_OMPair @ v_x @ ( 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_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_B ) @ ( c_Message_Omsg_OMPair @ v_x @ ( 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 ) ) ) ) ) ) ) )
= v_X ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_10) ).
thf(21,negated_conjecture,
c_in @ v_evs4 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
thf(22,negated_conjecture,
~ ( c_in @ v_B @ c_Event_Obad @ tc_Message_Oagent ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(23,plain,
$false = $false,
inference(unfold_def,[status(thm)],[15]) ).
thf(24,plain,
( ( ! [V_c: $i,V_A: $i,V_B: $i,T_a: $i] :
( ~ ( c_in @ V_c @ ( c_union @ V_A @ V_B @ T_a ) @ T_a )
| ( c_in @ V_c @ V_B @ T_a )
| ( c_in @ V_c @ V_A @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(25,plain,
( ( ! [V_evs: $i,V_A: $i] :
( ~ ( c_in @ V_evs @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ~ ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ V_A ) ) @ ( 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)],[2]) ).
thf(26,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__uwX @ 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)],[3]) ).
thf(27,plain,
( ( ! [V_evs: $i,V_B: $i,V_NA: $i,V_NB: $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_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 )
| ( c_in @ ( c_Event_Oevent_OSays @ V_B @ 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_B ) @ ( c_Message_Omsg_OMPair @ ( v_sko__vCt @ V_A @ V_B @ V_NA @ V_NB @ V_evs ) @ ( 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_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(28,plain,
( ( ! [V_X: $i,V_H: $i] :
( ~ ( c_in @ V_X @ V_H @ tc_Message_Omsg )
| ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(29,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)],[6]) ).
thf(30,plain,
( ( ! [V_X: $i,V_Y: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg )
| ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(31,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_Y @ ( c_Message_Oparts @ V_H ) @ 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_Z: $i,V_X: $i,V_H: $i] :
( ~ ( c_in @ V_Z @ ( c_Message_Oparts @ ( c_insert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
| ~ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg )
| ( c_in @ V_Z @ ( c_union @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(35,plain,
( ( ! [V_K: $i,V_X: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_OKey @ V_K ) @ V_H @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(36,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)],[13]) ).
thf(37,plain,
( ( ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_B @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_A ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OKey @ v_K ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ v_NB @ ( c_Message_Omsg_OKey @ v_K ) ) ) ) ) ) @ ( c_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(38,plain,
( ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ v_NB @ ( c_Message_Omsg_OKey @ v_K ) ) ) @ ( c_Message_Oparts @ ( c_insert @ v_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(39,plain,
( ( c_in @ ( c_Event_Oevent_OGets @ v_Ba @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NAa ) @ ( c_Message_Omsg_OMPair @ v_X @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_Ba ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NBa ) @ ( c_Message_Omsg_OKey @ v_Ka ) ) ) ) ) ) @ ( 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_OSays @ c_Message_Oagent_OServer @ v_B @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_A ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OKey @ v_K ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ v_NB @ ( c_Message_Omsg_OKey @ v_K ) ) ) ) ) ) @ ( c_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Event_Oevent_OSays @ v_B @ 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_B ) @ ( c_Message_Omsg_OMPair @ V_U @ ( 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_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ v_NB @ ( c_Message_Omsg_OKey @ v_K ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(41,plain,
( ( ( c_in @ ( c_Event_Oevent_OSays @ v_B @ 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_B ) @ ( c_Message_Omsg_OMPair @ v_x @ ( 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_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_B ) @ ( c_Message_Omsg_OMPair @ v_x @ ( 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 ) ) ) ) ) ) ) )
= v_X ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(42,plain,
( ( c_in @ v_evs4 @ c_OtwayRees_Ootway @ ( 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] :
( ~ ( c_in @ V_evs @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [V_A: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ V_A ) ) @ ( 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)],[25]) ).
thf(46,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__uwX @ 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)],[26]) ).
thf(47,plain,
( ( ! [V_evs: $i,V_B: $i,V_NA: $i] :
( ~ ( c_in @ V_evs @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [V_NB: $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 )
| ( c_in @ V_B @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ V_B @ 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_B ) @ ( c_Message_Omsg_OMPair @ ( v_sko__vCt @ V_A @ V_B @ V_NA @ V_NB @ V_evs ) @ ( 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_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[27]) ).
thf(48,plain,
( ( ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_B @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_A ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OKey @ v_K ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ v_NB @ ( c_Message_Omsg_OKey @ v_K ) ) ) ) ) ) @ ( c_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [V_U: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ v_B @ 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_B ) @ ( c_Message_Omsg_OMPair @ V_U @ ( 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_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ v_NB @ ( c_Message_Omsg_OKey @ v_K ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4 ) ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_combined,[status(esa)],[40]) ).
thf(49,plain,
( ( ( ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_B ) @ ( c_Message_Omsg_OMPair @ v_x @ ( 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 ) ) ) ) ) ) ) )
= v_X )
| ( c_in @ ( c_Event_Oevent_OSays @ v_B @ 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_B ) @ ( c_Message_Omsg_OMPair @ v_x @ ( 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_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ),
inference(extcnf_combined,[status(esa)],[41]) ).
thf(50,plain,
( ( ~ ( c_in @ v_B @ c_Event_Obad @ tc_Message_Oagent ) )
= $true ),
inference(copy,[status(thm)],[43]) ).
thf(51,plain,
( ( c_in @ v_evs4 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $true ),
inference(copy,[status(thm)],[42]) ).
thf(52,plain,
( ( ( ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_B ) @ ( c_Message_Omsg_OMPair @ v_x @ ( 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 ) ) ) ) ) ) ) )
= v_X )
| ( c_in @ ( c_Event_Oevent_OSays @ v_B @ 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_B ) @ ( c_Message_Omsg_OMPair @ v_x @ ( 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_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ),
inference(copy,[status(thm)],[49]) ).
thf(53,plain,
( ( ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_B @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_A ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OKey @ v_K ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ v_NB @ ( c_Message_Omsg_OKey @ v_K ) ) ) ) ) ) @ ( c_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ! [V_U: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ v_B @ 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_B ) @ ( c_Message_Omsg_OMPair @ V_U @ ( 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_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ v_NB @ ( c_Message_Omsg_OKey @ v_K ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4 ) ) @ tc_Message_Omsg ) )
= $true ),
inference(copy,[status(thm)],[48]) ).
thf(54,plain,
( ( c_in @ ( c_Event_Oevent_OGets @ v_Ba @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NAa ) @ ( c_Message_Omsg_OMPair @ v_X @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_Ba ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ v_NBa ) @ ( c_Message_Omsg_OKey @ v_Ka ) ) ) ) ) ) @ ( c_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true ),
inference(copy,[status(thm)],[39]) ).
thf(55,plain,
( ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ v_NB @ ( c_Message_Omsg_OKey @ v_K ) ) ) @ ( c_Message_Oparts @ ( c_insert @ v_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
= $true ),
inference(copy,[status(thm)],[38]) ).
thf(56,plain,
( ( ~ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_B @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_A ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OKey @ v_K ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ v_NB @ ( c_Message_Omsg_OKey @ v_K ) ) ) ) ) ) @ ( c_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ),
inference(copy,[status(thm)],[37]) ).
thf(57,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)],[36]) ).
thf(58,plain,
( ( ! [V_K: $i,V_X: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_OKey @ V_K ) @ V_H @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[35]) ).
thf(59,plain,
( ( ! [V_Z: $i,V_X: $i,V_H: $i] :
( ~ ( c_in @ V_Z @ ( c_Message_Oparts @ ( c_insert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
| ~ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg )
| ( c_in @ V_Z @ ( c_union @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[34]) ).
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)],[33]) ).
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)],[32]) ).
thf(62,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_Y @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[31]) ).
thf(63,plain,
( ( ! [V_X: $i,V_Y: $i,V_H: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg )
| ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[30]) ).
thf(64,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)],[29]) ).
thf(65,plain,
( ( ! [V_X: $i,V_H: $i] :
( ~ ( c_in @ V_X @ V_H @ tc_Message_Omsg )
| ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[28]) ).
thf(66,plain,
( ( ! [V_evs: $i,V_B: $i,V_NA: $i] :
( ~ ( c_in @ V_evs @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [V_NB: $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 )
| ( c_in @ V_B @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ V_B @ 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_B ) @ ( c_Message_Omsg_OMPair @ ( v_sko__vCt @ V_A @ V_B @ V_NA @ V_NB @ V_evs ) @ ( 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_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(copy,[status(thm)],[47]) ).
thf(67,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__uwX @ 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)],[46]) ).
thf(68,plain,
( ( ! [V_evs: $i] :
( ~ ( c_in @ V_evs @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [V_A: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ V_A ) ) @ ( 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)],[45]) ).
thf(69,plain,
( ( ! [V_c: $i,V_A: $i,V_B: $i,T_a: $i] :
( ~ ( c_in @ V_c @ ( c_union @ V_A @ V_B @ T_a ) @ T_a )
| ( c_in @ V_c @ V_B @ T_a )
| ( c_in @ V_c @ V_A @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(70,plain,
( ( ~ $false )
= $true ),
inference(copy,[status(thm)],[44]) ).
thf(71,plain,
( ( c_in @ v_B @ c_Event_Obad @ tc_Message_Oagent )
= $false ),
inference(extcnf_not_pos,[status(thm)],[50]) ).
thf(72,plain,
( ( ( ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_B ) @ ( c_Message_Omsg_OMPair @ v_x @ ( 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 ) ) ) ) ) ) ) )
= v_X )
= $true )
| ( ( c_in @ ( c_Event_Oevent_OSays @ v_B @ 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_B ) @ ( c_Message_Omsg_OMPair @ v_x @ ( 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_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[52]) ).
thf(73,plain,
( ( ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_B @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_A ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OKey @ v_K ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ v_NB @ ( c_Message_Omsg_OKey @ v_K ) ) ) ) ) ) @ ( c_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true )
| ( ( ! [V_U: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ v_B @ 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_B ) @ ( c_Message_Omsg_OMPair @ V_U @ ( 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_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ v_NB @ ( c_Message_Omsg_OKey @ v_K ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[53]) ).
thf(74,plain,
( ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_B @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_A ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OKey @ v_K ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ v_NB @ ( c_Message_Omsg_OKey @ v_K ) ) ) ) ) ) @ ( c_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(75,plain,
! [SV1: $i] :
( ( ! [SY41: $i,SY42: $i,SY43: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV1 @ SY41 @ SY42 ) @ ( c_List_Oset @ SY43 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ SY42 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY43 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[57]) ).
thf(76,plain,
! [SV2: $i] :
( ( ! [SY44: $i,SY45: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ SV2 @ SY44 ) @ ( c_Message_Osynth @ SY45 ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_OCrypt @ SV2 @ SY44 ) @ SY45 @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_OKey @ SV2 ) @ SY45 @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(77,plain,
! [SV3: $i] :
( ( ! [SY46: $i,SY47: $i] :
( ~ ( c_in @ SV3 @ ( c_Message_Oparts @ ( c_insert @ SY46 @ SY47 @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
| ~ ( c_in @ SY46 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY47 ) ) @ tc_Message_Omsg )
| ( c_in @ SV3 @ ( c_union @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY47 ) ) @ ( c_Message_Oparts @ SY47 ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[59]) ).
thf(78,plain,
! [SV4: $i] :
( ( ! [SY48: $i,SY49: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV4 @ SY48 ) @ ( c_Message_Oanalz @ SY49 ) @ tc_Message_Omsg )
| ( c_in @ SY48 @ ( c_Message_Oanalz @ SY49 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(79,plain,
! [SV5: $i] :
( ( ! [SY50: $i,SY51: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV5 @ SY50 ) @ ( c_Message_Oanalz @ SY51 ) @ tc_Message_Omsg )
| ( c_in @ SV5 @ ( c_Message_Oanalz @ SY51 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[61]) ).
thf(80,plain,
! [SV6: $i] :
( ( ! [SY52: $i,SY53: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV6 @ SY52 ) @ ( c_Message_Oparts @ SY53 ) @ tc_Message_Omsg )
| ( c_in @ SY52 @ ( c_Message_Oparts @ SY53 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[62]) ).
thf(81,plain,
! [SV7: $i] :
( ( ! [SY54: $i,SY55: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV7 @ SY54 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY55 ) ) @ tc_Message_Omsg )
| ( c_in @ SV7 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY55 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[63]) ).
thf(82,plain,
! [SV8: $i] :
( ( ! [SY56: $i] :
( ~ ( c_in @ SV8 @ ( c_Message_Oanalz @ SY56 ) @ tc_Message_Omsg )
| ( c_in @ SV8 @ ( c_Message_Oparts @ SY56 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(83,plain,
! [SV9: $i] :
( ( ! [SY57: $i] :
( ~ ( c_in @ SV9 @ SY57 @ tc_Message_Omsg )
| ( c_in @ SV9 @ ( c_Message_Osynth @ SY57 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[65]) ).
thf(84,plain,
! [SV10: $i] :
( ( ! [SY58: $i,SY59: $i] :
( ~ ( c_in @ SV10 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [SY60: $i,SY61: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY58 ) @ ( c_Message_Omsg_OMPair @ SY59 @ ( c_Message_Omsg_OMPair @ SY60 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY61 ) @ ( c_Message_Omsg_OAgent @ SY58 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV10 ) ) @ tc_Message_Omsg )
| ( c_in @ SY58 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ SY58 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ SY59 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY61 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY58 ) @ ( c_Message_Omsg_OMPair @ ( v_sko__vCt @ SY61 @ SY58 @ SY59 @ SY60 @ SV10 ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SY58 ) @ ( c_Message_Omsg_OMPair @ SY59 @ ( c_Message_Omsg_OMPair @ SY60 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY61 ) @ ( c_Message_Omsg_OAgent @ SY58 ) ) ) ) ) ) ) ) ) ) @ ( c_List_Oset @ SV10 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[66]) ).
thf(85,plain,
! [SV11: $i] :
( ( ~ ( c_in @ SV11 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [SY62: $i,SY63: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OGets @ SY62 @ SY63 ) @ ( c_List_Oset @ SV11 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OSays @ ( v_sko__uwX @ SY62 @ SY63 @ SV11 ) @ SY62 @ SY63 ) @ ( c_List_Oset @ SV11 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[67]) ).
thf(86,plain,
! [SV12: $i] :
( ( ~ ( c_in @ SV12 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [SY64: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ SY64 ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV12 ) ) @ tc_Message_Omsg )
| ( c_in @ SY64 @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[68]) ).
thf(87,plain,
! [SV13: $i] :
( ( ! [SY65: $i,SY66: $i,SY67: $i] :
( ~ ( c_in @ SV13 @ ( c_union @ SY65 @ SY66 @ SY67 ) @ SY67 )
| ( c_in @ SV13 @ SY66 @ SY67 )
| ( c_in @ SV13 @ SY65 @ SY67 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(88,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[70]) ).
thf(89,plain,
( ( ( ! [V_U: $i] :
~ ( c_in @ ( c_Event_Oevent_OSays @ v_B @ 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_B ) @ ( c_Message_Omsg_OMPair @ V_U @ ( 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_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ v_NB @ ( c_Message_Omsg_OKey @ v_K ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_B @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_A ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OKey @ v_K ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ v_NB @ ( c_Message_Omsg_OKey @ v_K ) ) ) ) ) ) @ ( c_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[73]) ).
thf(90,plain,
! [SV14: $i,SV1: $i] :
( ( ! [SY68: $i,SY69: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV1 @ SV14 @ SY68 ) @ ( c_List_Oset @ SY69 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ SY68 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY69 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[75]) ).
thf(91,plain,
! [SV15: $i,SV2: $i] :
( ( ! [SY70: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ SV2 @ SV15 ) @ ( c_Message_Osynth @ SY70 ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_OCrypt @ SV2 @ SV15 ) @ SY70 @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_OKey @ SV2 ) @ SY70 @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[76]) ).
thf(92,plain,
! [SV16: $i,SV3: $i] :
( ( ! [SY71: $i] :
( ~ ( c_in @ SV3 @ ( c_Message_Oparts @ ( c_insert @ SV16 @ SY71 @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
| ~ ( c_in @ SV16 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY71 ) ) @ tc_Message_Omsg )
| ( c_in @ SV3 @ ( c_union @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY71 ) ) @ ( c_Message_Oparts @ SY71 ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[77]) ).
thf(93,plain,
! [SV17: $i,SV4: $i] :
( ( ! [SY72: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV4 @ SV17 ) @ ( c_Message_Oanalz @ SY72 ) @ tc_Message_Omsg )
| ( c_in @ SV17 @ ( c_Message_Oanalz @ SY72 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[78]) ).
thf(94,plain,
! [SV18: $i,SV5: $i] :
( ( ! [SY73: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV5 @ SV18 ) @ ( c_Message_Oanalz @ SY73 ) @ tc_Message_Omsg )
| ( c_in @ SV5 @ ( c_Message_Oanalz @ SY73 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[79]) ).
thf(95,plain,
! [SV19: $i,SV6: $i] :
( ( ! [SY74: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV6 @ SV19 ) @ ( c_Message_Oparts @ SY74 ) @ tc_Message_Omsg )
| ( c_in @ SV19 @ ( c_Message_Oparts @ SY74 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[80]) ).
thf(96,plain,
! [SV20: $i,SV7: $i] :
( ( ! [SY75: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV7 @ SV20 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY75 ) ) @ tc_Message_Omsg )
| ( c_in @ SV7 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY75 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[81]) ).
thf(97,plain,
! [SV21: $i,SV8: $i] :
( ( ~ ( c_in @ SV8 @ ( c_Message_Oanalz @ SV21 ) @ tc_Message_Omsg )
| ( c_in @ SV8 @ ( c_Message_Oparts @ SV21 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[82]) ).
thf(98,plain,
! [SV22: $i,SV9: $i] :
( ( ~ ( c_in @ SV9 @ SV22 @ tc_Message_Omsg )
| ( c_in @ SV9 @ ( c_Message_Osynth @ SV22 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[83]) ).
thf(99,plain,
! [SV23: $i,SV10: $i] :
( ( ! [SY76: $i] :
( ~ ( c_in @ SV10 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [SY77: $i,SY78: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV23 ) @ ( c_Message_Omsg_OMPair @ SY76 @ ( c_Message_Omsg_OMPair @ SY77 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY78 ) @ ( c_Message_Omsg_OAgent @ SV23 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV10 ) ) @ tc_Message_Omsg )
| ( c_in @ SV23 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ SV23 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ SY76 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY78 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV23 ) @ ( c_Message_Omsg_OMPair @ ( v_sko__vCt @ SY78 @ SV23 @ SY76 @ SY77 @ SV10 ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV23 ) @ ( c_Message_Omsg_OMPair @ SY76 @ ( c_Message_Omsg_OMPair @ SY77 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY78 ) @ ( c_Message_Omsg_OAgent @ SV23 ) ) ) ) ) ) ) ) ) ) @ ( c_List_Oset @ SV10 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[84]) ).
thf(100,plain,
! [SV11: $i] :
( ( ( ~ ( c_in @ SV11 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true )
| ( ( ! [SY62: $i,SY63: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OGets @ SY62 @ SY63 ) @ ( c_List_Oset @ SV11 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OSays @ ( v_sko__uwX @ SY62 @ SY63 @ SV11 ) @ SY62 @ SY63 ) @ ( c_List_Oset @ SV11 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[85]) ).
thf(101,plain,
! [SV12: $i] :
( ( ( ~ ( c_in @ SV12 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true )
| ( ( ! [SY64: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ SY64 ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV12 ) ) @ tc_Message_Omsg )
| ( c_in @ SY64 @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[86]) ).
thf(102,plain,
! [SV24: $i,SV13: $i] :
( ( ! [SY79: $i,SY80: $i] :
( ~ ( c_in @ SV13 @ ( c_union @ SV24 @ SY79 @ SY80 ) @ SY80 )
| ( c_in @ SV13 @ SY79 @ SY80 )
| ( c_in @ SV13 @ SV24 @ SY80 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(103,plain,
! [SV25: $i] :
( ( ( ~ ( c_in @ ( c_Event_Oevent_OSays @ v_B @ 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_B ) @ ( c_Message_Omsg_OMPair @ SV25 @ ( 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_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ v_NB @ ( c_Message_Omsg_OKey @ v_K ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_B @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_A ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OKey @ v_K ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ v_NB @ ( c_Message_Omsg_OKey @ v_K ) ) ) ) ) ) @ ( c_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[89]) ).
thf(104,plain,
! [SV26: $i,SV14: $i,SV1: $i] :
( ( ! [SY81: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV1 @ SV14 @ SV26 ) @ ( c_List_Oset @ SY81 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ SV26 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY81 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(105,plain,
! [SV27: $i,SV15: $i,SV2: $i] :
( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ SV2 @ SV15 ) @ ( c_Message_Osynth @ SV27 ) @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_OCrypt @ SV2 @ SV15 ) @ SV27 @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_OKey @ SV2 ) @ SV27 @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(106,plain,
! [SV28: $i,SV16: $i,SV3: $i] :
( ( ~ ( c_in @ SV3 @ ( c_Message_Oparts @ ( c_insert @ SV16 @ SV28 @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
| ~ ( c_in @ SV16 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV28 ) ) @ tc_Message_Omsg )
| ( c_in @ SV3 @ ( c_union @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV28 ) ) @ ( c_Message_Oparts @ SV28 ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[92]) ).
thf(107,plain,
! [SV29: $i,SV17: $i,SV4: $i] :
( ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV4 @ SV17 ) @ ( c_Message_Oanalz @ SV29 ) @ tc_Message_Omsg )
| ( c_in @ SV17 @ ( c_Message_Oanalz @ SV29 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[93]) ).
thf(108,plain,
! [SV30: $i,SV18: $i,SV5: $i] :
( ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV5 @ SV18 ) @ ( c_Message_Oanalz @ SV30 ) @ tc_Message_Omsg )
| ( c_in @ SV5 @ ( c_Message_Oanalz @ SV30 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[94]) ).
thf(109,plain,
! [SV31: $i,SV19: $i,SV6: $i] :
( ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV6 @ SV19 ) @ ( c_Message_Oparts @ SV31 ) @ tc_Message_Omsg )
| ( c_in @ SV19 @ ( c_Message_Oparts @ SV31 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[95]) ).
thf(110,plain,
! [SV32: $i,SV20: $i,SV7: $i] :
( ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV7 @ SV20 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV32 ) ) @ tc_Message_Omsg )
| ( c_in @ SV7 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV32 ) ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[96]) ).
thf(111,plain,
! [SV21: $i,SV8: $i] :
( ( ( ~ ( c_in @ SV8 @ ( c_Message_Oanalz @ SV21 ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV8 @ ( c_Message_Oparts @ SV21 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[97]) ).
thf(112,plain,
! [SV22: $i,SV9: $i] :
( ( ( ~ ( c_in @ SV9 @ SV22 @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV9 @ ( c_Message_Osynth @ SV22 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(113,plain,
! [SV33: $i,SV23: $i,SV10: $i] :
( ( ~ ( c_in @ SV10 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
| ! [SY82: $i,SY83: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV23 ) @ ( c_Message_Omsg_OMPair @ SV33 @ ( c_Message_Omsg_OMPair @ SY82 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY83 ) @ ( c_Message_Omsg_OAgent @ SV23 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV10 ) ) @ tc_Message_Omsg )
| ( c_in @ SV23 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ SV23 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ SV33 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY83 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV23 ) @ ( c_Message_Omsg_OMPair @ ( v_sko__vCt @ SY83 @ SV23 @ SV33 @ SY82 @ SV10 ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV23 ) @ ( c_Message_Omsg_OMPair @ SV33 @ ( c_Message_Omsg_OMPair @ SY82 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY83 ) @ ( c_Message_Omsg_OAgent @ SV23 ) ) ) ) ) ) ) ) ) ) @ ( c_List_Oset @ SV10 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(114,plain,
! [SV11: $i] :
( ( ( c_in @ SV11 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false )
| ( ( ! [SY62: $i,SY63: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OGets @ SY62 @ SY63 ) @ ( c_List_Oset @ SV11 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OSays @ ( v_sko__uwX @ SY62 @ SY63 @ SV11 ) @ SY62 @ SY63 ) @ ( c_List_Oset @ SV11 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[100]) ).
thf(115,plain,
! [SV12: $i] :
( ( ( c_in @ SV12 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false )
| ( ( ! [SY64: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ SY64 ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV12 ) ) @ tc_Message_Omsg )
| ( c_in @ SY64 @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[101]) ).
thf(116,plain,
! [SV34: $i,SV24: $i,SV13: $i] :
( ( ! [SY84: $i] :
( ~ ( c_in @ SV13 @ ( c_union @ SV24 @ SV34 @ SY84 ) @ SY84 )
| ( c_in @ SV13 @ SV34 @ SY84 )
| ( c_in @ SV13 @ SV24 @ SY84 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[102]) ).
thf(117,plain,
! [SV25: $i] :
( ( ( c_in @ ( c_Event_Oevent_OSays @ v_B @ 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_B ) @ ( c_Message_Omsg_OMPair @ SV25 @ ( 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_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ v_NB @ ( c_Message_Omsg_OKey @ v_K ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_B @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_A ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OKey @ v_K ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ v_NB @ ( c_Message_Omsg_OKey @ v_K ) ) ) ) ) ) @ ( c_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[103]) ).
thf(118,plain,
! [SV35: $i,SV26: $i,SV14: $i,SV1: $i] :
( ( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV1 @ SV14 @ SV26 ) @ ( c_List_Oset @ SV35 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ SV26 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV35 ) ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[104]) ).
thf(119,plain,
! [SV27: $i,SV15: $i,SV2: $i] :
( ( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ SV2 @ SV15 ) @ ( c_Message_Osynth @ SV27 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ( c_in @ ( c_Message_Omsg_OCrypt @ SV2 @ SV15 ) @ SV27 @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_OKey @ SV2 ) @ SV27 @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[105]) ).
thf(120,plain,
! [SV28: $i,SV16: $i,SV3: $i] :
( ( ( ~ ( c_in @ SV3 @ ( c_Message_Oparts @ ( c_insert @ SV16 @ SV28 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( c_in @ SV16 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV28 ) ) @ tc_Message_Omsg )
| ( c_in @ SV3 @ ( c_union @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV28 ) ) @ ( c_Message_Oparts @ SV28 ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[106]) ).
thf(121,plain,
! [SV29: $i,SV17: $i,SV4: $i] :
( ( ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV4 @ SV17 ) @ ( c_Message_Oanalz @ SV29 ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV17 @ ( c_Message_Oanalz @ SV29 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[107]) ).
thf(122,plain,
! [SV30: $i,SV18: $i,SV5: $i] :
( ( ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV5 @ SV18 ) @ ( c_Message_Oanalz @ SV30 ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV5 @ ( c_Message_Oanalz @ SV30 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[108]) ).
thf(123,plain,
! [SV31: $i,SV19: $i,SV6: $i] :
( ( ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV6 @ SV19 ) @ ( c_Message_Oparts @ SV31 ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV19 @ ( c_Message_Oparts @ SV31 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[109]) ).
thf(124,plain,
! [SV32: $i,SV20: $i,SV7: $i] :
( ( ( ~ ( c_in @ ( c_Message_Omsg_OMPair @ SV7 @ SV20 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV32 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV7 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV32 ) ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[110]) ).
thf(125,plain,
! [SV21: $i,SV8: $i] :
( ( ( c_in @ SV8 @ ( c_Message_Oanalz @ SV21 ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV8 @ ( c_Message_Oparts @ SV21 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[111]) ).
thf(126,plain,
! [SV22: $i,SV9: $i] :
( ( ( c_in @ SV9 @ SV22 @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV9 @ ( c_Message_Osynth @ SV22 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[112]) ).
thf(127,plain,
! [SV33: $i,SV23: $i,SV10: $i] :
( ( ( ~ ( c_in @ SV10 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true )
| ( ( ! [SY82: $i,SY83: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV23 ) @ ( c_Message_Omsg_OMPair @ SV33 @ ( c_Message_Omsg_OMPair @ SY82 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY83 ) @ ( c_Message_Omsg_OAgent @ SV23 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV10 ) ) @ tc_Message_Omsg )
| ( c_in @ SV23 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ SV23 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ SV33 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY83 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV23 ) @ ( c_Message_Omsg_OMPair @ ( v_sko__vCt @ SY83 @ SV23 @ SV33 @ SY82 @ SV10 ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV23 ) @ ( c_Message_Omsg_OMPair @ SV33 @ ( c_Message_Omsg_OMPair @ SY82 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY83 ) @ ( c_Message_Omsg_OAgent @ SV23 ) ) ) ) ) ) ) ) ) ) @ ( c_List_Oset @ SV10 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[113]) ).
thf(128,plain,
! [SV11: $i,SV36: $i] :
( ( ( ! [SY85: $i] :
( ~ ( c_in @ ( c_Event_Oevent_OGets @ SV36 @ SY85 ) @ ( c_List_Oset @ SV11 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OSays @ ( v_sko__uwX @ SV36 @ SY85 @ SV11 ) @ SV36 @ SY85 ) @ ( c_List_Oset @ SV11 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( c_in @ SV11 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[114]) ).
thf(129,plain,
! [SV12: $i,SV37: $i] :
( ( ( ~ ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ SV37 ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV12 ) ) @ tc_Message_Omsg )
| ( c_in @ SV37 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true )
| ( ( c_in @ SV12 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(130,plain,
! [SV38: $i,SV34: $i,SV24: $i,SV13: $i] :
( ( ~ ( c_in @ SV13 @ ( c_union @ SV24 @ SV34 @ SV38 ) @ SV38 )
| ( c_in @ SV13 @ SV34 @ SV38 )
| ( c_in @ SV13 @ SV24 @ SV38 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(131,plain,
! [SV25: $i] :
( ( ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ v_NB @ ( c_Message_Omsg_OKey @ v_K ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs4 ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ ( c_Event_Oevent_OSays @ v_B @ 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_B ) @ ( c_Message_Omsg_OMPair @ SV25 @ ( 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_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_B @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_A ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OKey @ v_K ) ) ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ v_NB @ ( c_Message_Omsg_OKey @ v_K ) ) ) ) ) ) @ ( c_List_Oset @ v_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[117]) ).
thf(132,plain,
! [SV35: $i,SV26: $i,SV14: $i,SV1: $i] :
( ( ( ~ ( c_in @ ( c_Event_Oevent_OSays @ SV1 @ SV14 @ SV26 ) @ ( c_List_Oset @ SV35 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( c_in @ SV26 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV35 ) ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[118]) ).
thf(133,plain,
! [SV27: $i,SV15: $i,SV2: $i] :
( ( ( c_in @ ( c_Message_Omsg_OCrypt @ SV2 @ SV15 ) @ ( c_Message_Osynth @ SV27 ) @ tc_Message_Omsg )
= $false )
| ( ( ( c_in @ ( c_Message_Omsg_OCrypt @ SV2 @ SV15 ) @ SV27 @ tc_Message_Omsg )
| ( c_in @ ( c_Message_Omsg_OKey @ SV2 ) @ SV27 @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(134,plain,
! [SV28: $i,SV16: $i,SV3: $i] :
( ( ( c_in @ SV3 @ ( c_Message_Oparts @ ( c_insert @ SV16 @ SV28 @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
= $false )
| ( ( ~ ( c_in @ SV16 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV28 ) ) @ tc_Message_Omsg )
| ( c_in @ SV3 @ ( c_union @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV28 ) ) @ ( c_Message_Oparts @ SV28 ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(135,plain,
! [SV29: $i,SV17: $i,SV4: $i] :
( ( ( c_in @ ( c_Message_Omsg_OMPair @ SV4 @ SV17 ) @ ( c_Message_Oanalz @ SV29 ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV17 @ ( c_Message_Oanalz @ SV29 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[121]) ).
thf(136,plain,
! [SV30: $i,SV18: $i,SV5: $i] :
( ( ( c_in @ ( c_Message_Omsg_OMPair @ SV5 @ SV18 ) @ ( c_Message_Oanalz @ SV30 ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV5 @ ( c_Message_Oanalz @ SV30 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[122]) ).
thf(137,plain,
! [SV31: $i,SV19: $i,SV6: $i] :
( ( ( c_in @ ( c_Message_Omsg_OMPair @ SV6 @ SV19 ) @ ( c_Message_Oparts @ SV31 ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV19 @ ( c_Message_Oparts @ SV31 ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[123]) ).
thf(138,plain,
! [SV32: $i,SV20: $i,SV7: $i] :
( ( ( c_in @ ( c_Message_Omsg_OMPair @ SV7 @ SV20 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV32 ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV7 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV32 ) ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[124]) ).
thf(139,plain,
! [SV33: $i,SV23: $i,SV10: $i] :
( ( ( c_in @ SV10 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false )
| ( ( ! [SY82: $i,SY83: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV23 ) @ ( c_Message_Omsg_OMPair @ SV33 @ ( c_Message_Omsg_OMPair @ SY82 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY83 ) @ ( c_Message_Omsg_OAgent @ SV23 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV10 ) ) @ tc_Message_Omsg )
| ( c_in @ SV23 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ SV23 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ SV33 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY83 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV23 ) @ ( c_Message_Omsg_OMPair @ ( v_sko__vCt @ SY83 @ SV23 @ SV33 @ SY82 @ SV10 ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV23 ) @ ( c_Message_Omsg_OMPair @ SV33 @ ( c_Message_Omsg_OMPair @ SY82 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY83 ) @ ( c_Message_Omsg_OAgent @ SV23 ) ) ) ) ) ) ) ) ) ) @ ( c_List_Oset @ SV10 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[127]) ).
thf(140,plain,
! [SV11: $i,SV39: $i,SV36: $i] :
( ( ( ~ ( c_in @ ( c_Event_Oevent_OGets @ SV36 @ SV39 ) @ ( c_List_Oset @ SV11 @ tc_Event_Oevent ) @ tc_Event_Oevent )
| ( c_in @ ( c_Event_Oevent_OSays @ ( v_sko__uwX @ SV36 @ SV39 @ SV11 ) @ SV36 @ SV39 ) @ ( c_List_Oset @ SV11 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( c_in @ SV11 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[128]) ).
thf(141,plain,
! [SV12: $i,SV37: $i] :
( ( ( ~ ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ SV37 ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV12 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV37 @ c_Event_Obad @ tc_Message_Oagent )
= $true )
| ( ( c_in @ SV12 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[129]) ).
thf(142,plain,
! [SV38: $i,SV34: $i,SV24: $i,SV13: $i] :
( ( ( ~ ( c_in @ SV13 @ ( c_union @ SV24 @ SV34 @ SV38 ) @ SV38 ) )
= $true )
| ( ( ( c_in @ SV13 @ SV34 @ SV38 )
| ( c_in @ SV13 @ SV24 @ SV38 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[130]) ).
thf(143,plain,
! [SV35: $i,SV26: $i,SV14: $i,SV1: $i] :
( ( ( c_in @ ( c_Event_Oevent_OSays @ SV1 @ SV14 @ SV26 ) @ ( c_List_Oset @ SV35 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ SV26 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV35 ) ) @ tc_Message_Omsg )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[132]) ).
thf(144,plain,
! [SV27: $i,SV15: $i,SV2: $i] :
( ( ( c_in @ ( c_Message_Omsg_OCrypt @ SV2 @ SV15 ) @ SV27 @ tc_Message_Omsg )
= $true )
| ( ( c_in @ ( c_Message_Omsg_OKey @ SV2 ) @ SV27 @ tc_Message_Omsg )
= $true )
| ( ( c_in @ ( c_Message_Omsg_OCrypt @ SV2 @ SV15 ) @ ( c_Message_Osynth @ SV27 ) @ tc_Message_Omsg )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[133]) ).
thf(145,plain,
! [SV3: $i,SV28: $i,SV16: $i] :
( ( ( ~ ( c_in @ SV16 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV28 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( c_in @ SV3 @ ( c_union @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV28 ) ) @ ( c_Message_Oparts @ SV28 ) @ tc_Message_Omsg ) @ tc_Message_Omsg )
= $true )
| ( ( c_in @ SV3 @ ( c_Message_Oparts @ ( c_insert @ SV16 @ SV28 @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[134]) ).
thf(146,plain,
! [SV10: $i,SV40: $i,SV33: $i,SV23: $i] :
( ( ( ! [SY86: $i] :
( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV23 ) @ ( c_Message_Omsg_OMPair @ SV33 @ ( c_Message_Omsg_OMPair @ SV40 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY86 ) @ ( c_Message_Omsg_OAgent @ SV23 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV10 ) ) @ tc_Message_Omsg )
| ( c_in @ SV23 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ SV23 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ SV33 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY86 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV23 ) @ ( c_Message_Omsg_OMPair @ ( v_sko__vCt @ SY86 @ SV23 @ SV33 @ SV40 @ SV10 ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV23 ) @ ( c_Message_Omsg_OMPair @ SV33 @ ( c_Message_Omsg_OMPair @ SV40 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY86 ) @ ( c_Message_Omsg_OAgent @ SV23 ) ) ) ) ) ) ) ) ) ) @ ( c_List_Oset @ SV10 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( c_in @ SV10 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[139]) ).
thf(147,plain,
! [SV11: $i,SV39: $i,SV36: $i] :
( ( ( ~ ( c_in @ ( c_Event_Oevent_OGets @ SV36 @ SV39 ) @ ( c_List_Oset @ SV11 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( c_in @ ( c_Event_Oevent_OSays @ ( v_sko__uwX @ SV36 @ SV39 @ SV11 ) @ SV36 @ SV39 ) @ ( c_List_Oset @ SV11 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true )
| ( ( c_in @ SV11 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[140]) ).
thf(148,plain,
! [SV12: $i,SV37: $i] :
( ( ( c_in @ ( c_Message_Omsg_OKey @ ( c_Public_OshrK @ SV37 ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV12 ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV37 @ c_Event_Obad @ tc_Message_Oagent )
= $true )
| ( ( c_in @ SV12 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[141]) ).
thf(149,plain,
! [SV38: $i,SV34: $i,SV24: $i,SV13: $i] :
( ( ( c_in @ SV13 @ ( c_union @ SV24 @ SV34 @ SV38 ) @ SV38 )
= $false )
| ( ( ( c_in @ SV13 @ SV34 @ SV38 )
| ( c_in @ SV13 @ SV24 @ SV38 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[142]) ).
thf(150,plain,
! [SV3: $i,SV28: $i,SV16: $i] :
( ( ( c_in @ SV16 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV28 ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV3 @ ( c_union @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV28 ) ) @ ( c_Message_Oparts @ SV28 ) @ tc_Message_Omsg ) @ tc_Message_Omsg )
= $true )
| ( ( c_in @ SV3 @ ( c_Message_Oparts @ ( c_insert @ SV16 @ SV28 @ tc_Message_Omsg ) ) @ tc_Message_Omsg )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[145]) ).
thf(151,plain,
! [SV10: $i,SV41: $i,SV40: $i,SV33: $i,SV23: $i] :
( ( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV23 ) @ ( c_Message_Omsg_OMPair @ SV33 @ ( c_Message_Omsg_OMPair @ SV40 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV41 ) @ ( c_Message_Omsg_OAgent @ SV23 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV10 ) ) @ tc_Message_Omsg )
| ( c_in @ SV23 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ SV23 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ SV33 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV41 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV23 ) @ ( c_Message_Omsg_OMPair @ ( v_sko__vCt @ SV41 @ SV23 @ SV33 @ SV40 @ SV10 ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV23 ) @ ( c_Message_Omsg_OMPair @ SV33 @ ( c_Message_Omsg_OMPair @ SV40 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV41 ) @ ( c_Message_Omsg_OAgent @ SV23 ) ) ) ) ) ) ) ) ) ) @ ( c_List_Oset @ SV10 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( c_in @ SV10 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[146]) ).
thf(152,plain,
! [SV11: $i,SV39: $i,SV36: $i] :
( ( ( c_in @ ( c_Event_Oevent_OGets @ SV36 @ SV39 ) @ ( c_List_Oset @ SV11 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $false )
| ( ( c_in @ ( c_Event_Oevent_OSays @ ( v_sko__uwX @ SV36 @ SV39 @ SV11 ) @ SV36 @ SV39 ) @ ( c_List_Oset @ SV11 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true )
| ( ( c_in @ SV11 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[147]) ).
thf(153,plain,
! [SV24: $i,SV38: $i,SV34: $i,SV13: $i] :
( ( ( c_in @ SV13 @ SV34 @ SV38 )
= $true )
| ( ( c_in @ SV13 @ SV24 @ SV38 )
= $true )
| ( ( c_in @ SV13 @ ( c_union @ SV24 @ SV34 @ SV38 ) @ SV38 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[149]) ).
thf(154,plain,
! [SV10: $i,SV41: $i,SV40: $i,SV33: $i,SV23: $i] :
( ( ( ~ ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV23 ) @ ( c_Message_Omsg_OMPair @ SV33 @ ( c_Message_Omsg_OMPair @ SV40 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV41 ) @ ( c_Message_Omsg_OAgent @ SV23 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV10 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ( c_in @ SV23 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ SV23 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ SV33 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV41 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV23 ) @ ( c_Message_Omsg_OMPair @ ( v_sko__vCt @ SV41 @ SV23 @ SV33 @ SV40 @ SV10 ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV23 ) @ ( c_Message_Omsg_OMPair @ SV33 @ ( c_Message_Omsg_OMPair @ SV40 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV41 ) @ ( c_Message_Omsg_OAgent @ SV23 ) ) ) ) ) ) ) ) ) ) @ ( c_List_Oset @ SV10 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( c_in @ SV10 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[151]) ).
thf(155,plain,
! [SV10: $i,SV41: $i,SV40: $i,SV33: $i,SV23: $i] :
( ( ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV23 ) @ ( c_Message_Omsg_OMPair @ SV33 @ ( c_Message_Omsg_OMPair @ SV40 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV41 ) @ ( c_Message_Omsg_OAgent @ SV23 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV10 ) ) @ tc_Message_Omsg )
= $false )
| ( ( ( c_in @ SV23 @ c_Event_Obad @ tc_Message_Oagent )
| ( c_in @ ( c_Event_Oevent_OSays @ SV23 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ SV33 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV41 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV23 ) @ ( c_Message_Omsg_OMPair @ ( v_sko__vCt @ SV41 @ SV23 @ SV33 @ SV40 @ SV10 ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV23 ) @ ( c_Message_Omsg_OMPair @ SV33 @ ( c_Message_Omsg_OMPair @ SV40 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV41 ) @ ( c_Message_Omsg_OAgent @ SV23 ) ) ) ) ) ) ) ) ) ) @ ( c_List_Oset @ SV10 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( c_in @ SV10 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(156,plain,
! [SV10: $i,SV40: $i,SV41: $i,SV33: $i,SV23: $i] :
( ( ( c_in @ SV23 @ c_Event_Obad @ tc_Message_Oagent )
= $true )
| ( ( c_in @ ( c_Event_Oevent_OSays @ SV23 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ SV33 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV41 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV23 ) @ ( c_Message_Omsg_OMPair @ ( v_sko__vCt @ SV41 @ SV23 @ SV33 @ SV40 @ SV10 ) @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV23 ) @ ( c_Message_Omsg_OMPair @ SV33 @ ( c_Message_Omsg_OMPair @ SV40 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV41 ) @ ( c_Message_Omsg_OAgent @ SV23 ) ) ) ) ) ) ) ) ) ) @ ( c_List_Oset @ SV10 @ tc_Event_Oevent ) @ tc_Event_Oevent )
= $true )
| ( ( c_in @ ( c_Message_Omsg_OCrypt @ ( c_Public_OshrK @ SV23 ) @ ( c_Message_Omsg_OMPair @ SV33 @ ( c_Message_Omsg_OMPair @ SV40 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV41 ) @ ( c_Message_Omsg_OAgent @ SV23 ) ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV10 ) ) @ tc_Message_Omsg )
= $false )
| ( ( c_in @ SV10 @ c_OtwayRees_Ootway @ ( tc_List_Olist @ tc_Event_Oevent ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[155]) ).
thf(157,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[51,156,153,152,150,148,144,143,138,137,136,135,131,126,125,88,74,72,71,55,54]) ).
thf(158,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[157]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV304-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Wed Jun 15 03:57:22 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.41
% 0.20/0.41 No.of.Axioms: 20
% 0.20/0.41
% 0.20/0.41 Length.of.Defs: 0
% 0.20/0.41
% 0.20/0.41 Contains.Choice.Funs: false
% 0.20/0.46 (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).........
% 0.57/0.82
% 0.57/0.82 ********************************
% 0.57/0.82 * All subproblems solved! *
% 0.57/0.82 ********************************
% 0.57/0.82 % 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:157,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.67/0.84
% 0.67/0.84 %**** Beginning of derivation protocol ****
% 0.67/0.84 % SZS output start CNFRefutation
% See solution above
% 0.67/0.84
% 0.67/0.84 %**** End of derivation protocol ****
% 0.67/0.84 %**** no. of clauses in derivation: 158 ****
% 0.67/0.84 %**** clause counter: 157 ****
% 0.67/0.84
% 0.67/0.84 % 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:157,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------