%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SWV744-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:58:39 AM UTC 2026
% Result : Unsatisfiable 215.40s 36.35s
% Output : CNFRefutation 215.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 558
% Syntax : Number of formulae : 4446 (3114 unt; 0 typ; 0 def)
% Number of atoms : 20920 (7813 equ; 0 cnn)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 80763 (4646 ~;5526 |; 0 &;70591 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 74 ( 71 usr; 27 con; 0-4 aty)
% Number of variables : 15069 ( 0 ^;15069 !; 0 ?;15069 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_c_Event_Obad,type,
c_Event_Obad: $i ).
thf(tp_c_Event_Oevent_OGets,type,
c_Event_Oevent_OGets: $i > $i > $i ).
thf(tp_c_Event_Oevent_ONotes,type,
c_Event_Oevent_ONotes: $i > $i > $i ).
thf(tp_c_Event_Oevent_OSays,type,
c_Event_Oevent_OSays: $i > $i > $i > $i ).
thf(tp_c_Event_OinitState,type,
c_Event_OinitState: $i > $i ).
thf(tp_c_Event_Oknows,type,
c_Event_Oknows: $i > $i > $i ).
thf(tp_c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1,type,
c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1: $i > $i > $i > $i ).
thf(tp_c_Event_Oused,type,
c_Event_Oused: $i > $i ).
thf(tp_c_HOL_Ouminus__class_Ouminus,type,
c_HOL_Ouminus__class_Ouminus: $i > $i > $i ).
thf(tp_c_Lattices_Oupper__semilattice__class_Osup,type,
c_Lattices_Oupper__semilattice__class_Osup: $i > $i > $i > $i ).
thf(tp_c_List_Olist_OCons,type,
c_List_Olist_OCons: $i > $i > $i > $i ).
thf(tp_c_List_Oset,type,
c_List_Oset: $i > $i > $i ).
thf(tp_c_Message_Oagent_OFriend,type,
c_Message_Oagent_OFriend: $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_OinvKey,type,
c_Message_OinvKey: $i ).
thf(tp_c_Message_OkeysFor,type,
c_Message_OkeysFor: $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 ).
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_OsymKeys,type,
c_Message_OsymKeys: $i ).
thf(tp_c_Message_Osynth,type,
c_Message_Osynth: $i > $i ).
thf(tp_c_NS__Shared__Mirabelle_Ons__shared,type,
c_NS__Shared__Mirabelle_Ons__shared: $i ).
thf(tp_c_NS__Shared__Mirabelle_Ons__sharedp,type,
c_NS__Shared__Mirabelle_Ons__sharedp: $i > $i ).
thf(tp_c_Orderings_Obot__class_Obot,type,
c_Orderings_Obot__class_Obot: $i > $i ).
thf(tp_c_Orderings_Otop__class_Otop,type,
c_Orderings_Otop__class_Otop: $i > $i ).
thf(tp_c_Public_Okeymode_OEncryption,type,
c_Public_Okeymode_OEncryption: $i ).
thf(tp_c_Public_Okeymode_OSignature,type,
c_Public_Okeymode_OSignature: $i ).
thf(tp_c_Public_OpublicKey,type,
c_Public_OpublicKey: $i > $i ).
thf(tp_c_Public_OshrK,type,
c_Public_OshrK: $i ).
thf(tp_c_Set_Oimage,type,
c_Set_Oimage: $i > $i > $i > $i > $i ).
thf(tp_c_Set_Oinsert,type,
c_Set_Oinsert: $i > $i > $i > $i ).
thf(tp_c_fequal,type,
c_fequal: $i > $i > $i > $o ).
thf(tp_c_in,type,
c_in: $i > $i > $i > $i ).
thf(tp_c_lessequals,type,
c_lessequals: $i > $i > $i > $o ).
thf(tp_class_HOL_Oord,type,
class_HOL_Oord: $i > $o ).
thf(tp_class_HOL_Ouminus,type,
class_HOL_Ouminus: $i > $o ).
thf(tp_class_Lattices_Oboolean__algebra,type,
class_Lattices_Oboolean__algebra: $i > $o ).
thf(tp_class_Lattices_Obounded__lattice,type,
class_Lattices_Obounded__lattice: $i > $o ).
thf(tp_class_Lattices_Olattice,type,
class_Lattices_Olattice: $i > $o ).
thf(tp_class_Lattices_Oupper__semilattice,type,
class_Lattices_Oupper__semilattice: $i > $o ).
thf(tp_class_OrderedGroup_Ogroup__add,type,
class_OrderedGroup_Ogroup__add: $i > $o ).
thf(tp_class_OrderedGroup_Opordered__ab__group__add,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
thf(tp_class_Orderings_Obot,type,
class_Orderings_Obot: $i > $o ).
thf(tp_class_Orderings_Olinorder,type,
class_Orderings_Olinorder: $i > $o ).
thf(tp_class_Orderings_Oorder,type,
class_Orderings_Oorder: $i > $o ).
thf(tp_class_Orderings_Opreorder,type,
class_Orderings_Opreorder: $i > $o ).
thf(tp_class_Orderings_Otop,type,
class_Orderings_Otop: $i > $o ).
thf(tp_hAPP,type,
hAPP: $i > $i > $i ).
thf(tp_hBOOL,type,
hBOOL: $i > $o ).
thf(tp_t_a,type,
t_a: $i ).
thf(tp_t_b,type,
t_b: $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_tc_bool,type,
tc_bool: $i ).
thf(tp_tc_fun,type,
tc_fun: $i > $i > $i ).
thf(tp_tc_nat,type,
tc_nat: $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_NA,type,
v_NA: $i ).
thf(tp_v_X,type,
v_X: $i ).
thf(tp_v_evsf,type,
v_evsf: $i ).
thf(tp_v_x,type,
v_x: $i ).
thf(1,axiom,
! [V_X: $i,V_Y: $i,T_a: $i] :
( ( V_X = V_Y )
| ~ ( c_fequal @ V_X @ V_Y @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_Ofequal__imp__equal_0) ).
thf(2,axiom,
! [V_x: $i,T_a: $i] : ( c_fequal @ V_x @ V_x @ T_a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ATP__Linkup_Oequal__imp__fequal_0) ).
thf(3,axiom,
class_HOL_Oord @ tc_bool,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__HOL_Oord) ).
thf(4,axiom,
class_HOL_Ouminus @ tc_bool,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__HOL_Ouminus) ).
thf(5,axiom,
class_Orderings_Obot @ tc_bool,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Obot) ).
thf(6,axiom,
class_Orderings_Otop @ tc_bool,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Otop) ).
thf(7,axiom,
class_Orderings_Oorder @ tc_bool,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Oorder) ).
thf(8,axiom,
class_Lattices_Olattice @ tc_bool,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Olattice) ).
thf(9,axiom,
class_Orderings_Opreorder @ tc_bool,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Orderings_Opreorder) ).
thf(10,axiom,
class_Lattices_Oboolean__algebra @ tc_bool,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Oboolean__algebra) ).
thf(11,axiom,
class_Lattices_Obounded__lattice @ tc_bool,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Obounded__lattice) ).
thf(12,axiom,
class_Lattices_Oupper__semilattice @ tc_bool,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_bool__Lattices_Oupper__semilattice) ).
thf(13,axiom,
class_HOL_Oord @ tc_nat,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__HOL_Oord) ).
thf(14,axiom,
class_Orderings_Obot @ tc_nat,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Obot) ).
thf(15,axiom,
class_Orderings_Oorder @ tc_nat,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Oorder) ).
thf(16,axiom,
class_Lattices_Olattice @ tc_nat,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Lattices_Olattice) ).
thf(17,axiom,
class_Orderings_Olinorder @ tc_nat,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Olinorder) ).
thf(18,axiom,
class_Orderings_Opreorder @ tc_nat,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Orderings_Opreorder) ).
thf(19,axiom,
class_Lattices_Oupper__semilattice @ tc_nat,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_nat__Lattices_Oupper__semilattice) ).
thf(20,axiom,
! [T_2: $i,T_1: $i] :
( ( class_HOL_Oord @ ( tc_fun @ T_2 @ T_1 ) )
| ~ ( class_HOL_Oord @ T_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__HOL_Oord) ).
thf(21,axiom,
! [T_2: $i,T_1: $i] :
( ( class_HOL_Ouminus @ ( tc_fun @ T_2 @ T_1 ) )
| ~ ( class_HOL_Ouminus @ T_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__HOL_Ouminus) ).
thf(22,axiom,
! [T_2: $i,T_1: $i] :
( ( class_Orderings_Obot @ ( tc_fun @ T_2 @ T_1 ) )
| ~ ( class_Orderings_Obot @ T_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Orderings_Obot) ).
thf(23,axiom,
! [T_2: $i,T_1: $i] :
( ( class_Orderings_Otop @ ( tc_fun @ T_2 @ T_1 ) )
| ~ ( class_Orderings_Otop @ T_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Orderings_Otop) ).
thf(24,axiom,
! [T_2: $i,T_1: $i] :
( ( class_Orderings_Oorder @ ( tc_fun @ T_2 @ T_1 ) )
| ~ ( class_Orderings_Oorder @ T_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Orderings_Oorder) ).
thf(25,axiom,
! [T_2: $i,T_1: $i] :
( ( class_Lattices_Olattice @ ( tc_fun @ T_2 @ T_1 ) )
| ~ ( class_Lattices_Olattice @ T_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Olattice) ).
thf(26,axiom,
! [T_2: $i,T_1: $i] :
( ( class_Orderings_Opreorder @ ( tc_fun @ T_2 @ T_1 ) )
| ~ ( class_Orderings_Opreorder @ T_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Orderings_Opreorder) ).
thf(27,axiom,
! [T_2: $i,T_1: $i] :
( ( class_Lattices_Oboolean__algebra @ ( tc_fun @ T_2 @ T_1 ) )
| ~ ( class_Lattices_Oboolean__algebra @ T_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Oboolean__algebra) ).
thf(28,axiom,
! [T_2: $i,T_1: $i] :
( ( class_Lattices_Obounded__lattice @ ( tc_fun @ T_2 @ T_1 ) )
| ~ ( class_Lattices_Obounded__lattice @ T_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Obounded__lattice) ).
thf(29,axiom,
! [T_2: $i,T_1: $i] :
( ( class_Lattices_Oupper__semilattice @ ( tc_fun @ T_2 @ T_1 ) )
| ~ ( class_Lattices_Olattice @ T_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clsarity_fun__Lattices_Oupper__semilattice) ).
thf(30,axiom,
! [V_x: $i,V_y: $i] :
( ( ( hAPP @ c_Public_OshrK @ V_x )
!= ( hAPP @ c_Public_OshrK @ V_y ) )
| ( V_x = V_y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_shrK__injective_0) ).
thf(31,axiom,
! [V_nat: $i,V_nat_H: $i,V_msg_H: $i] :
( ( hAPP @ c_Message_Omsg_OKey @ V_nat )
!= ( c_Message_Omsg_OCrypt @ V_nat_H @ V_msg_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I42_J_0) ).
thf(32,axiom,
! [V_agent_H: $i,V_msg_H: $i,V_agent1: $i,V_agent2: $i,V_msg: $i] :
( ( c_Event_Oevent_ONotes @ V_agent_H @ V_msg_H )
!= ( c_Event_Oevent_OSays @ V_agent1 @ V_agent2 @ V_msg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I7_J_0) ).
thf(33,axiom,
! [V_K: $i,V_X: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_H @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth_OCrypt_0) ).
thf(34,axiom,
! [V_msg1_H: $i,V_msg2_H: $i,V_nat: $i] :
( ( c_Message_Omsg_OMPair @ V_msg1_H @ V_msg2_H )
!= ( hAPP @ c_Message_Omsg_OKey @ V_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I41_J_0) ).
thf(35,axiom,
! [V_c: $i,V_evs: $i,V_A: $i,V_B: $i,V_X: $i] :
( ~ ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ V_evs @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__mono__contra_I1_J_0) ).
thf(36,axiom,
! [V_xs: $i,V_x: $i,T_a: $i] :
( V_xs
!= ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__Cons__self_0) ).
thf(37,axiom,
! [V_x: $i,V_t: $i,T_a: $i] :
( ( c_List_Olist_OCons @ V_x @ V_t @ T_a )
!= V_t ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__Cons__self2_0) ).
thf(38,axiom,
~ ( hBOOL @ ( c_in @ c_Message_Oagent_OServer @ c_Event_Obad @ tc_Message_Oagent ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Server__not__bad_0) ).
thf(39,axiom,
! [V_X: $i,V_H: $i,V_K: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__synth_0) ).
thf(40,axiom,
! [V_H: $i] :
( ( c_Message_Osynth @ ( c_Message_Osynth @ V_H ) )
= ( c_Message_Osynth @ V_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__idem_0) ).
thf(41,axiom,
! [V_X: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Osynth @ V_H ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__synthD_0) ).
thf(42,axiom,
! [V_K: $i,V_H: $i,V_X: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_H @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__synth_1) ).
thf(43,axiom,
! [V_K: $i,V_X: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_H @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__synth__eq_0) ).
thf(44,axiom,
! [V_K: $i,V_X: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_H @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__synth__eq_1) ).
thf(45,axiom,
! [V_nat: $i,V_msg1_H: $i,V_msg2_H: $i] :
( ( hAPP @ c_Message_Omsg_OKey @ V_nat )
!= ( c_Message_Omsg_OMPair @ V_msg1_H @ V_msg2_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I40_J_0) ).
thf(46,axiom,
! [V_X: $i,V_B: $i,V_K: $i,V_A: $i,V_evs: $i,V_K_H: $i,V_N: $i] :
( ( V_X
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OAgent @ V_A ) ) ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OCrypt @ V_K_H @ ( c_Message_Omsg_OMPair @ V_N @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__Server__message__form_1) ).
thf(47,axiom,
! [V_nat_H: $i,V_msg_H: $i,V_msg1: $i,V_msg2: $i] :
( ( c_Message_Omsg_OCrypt @ V_nat_H @ V_msg_H )
!= ( c_Message_Omsg_OMPair @ V_msg1 @ V_msg2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I49_J_0) ).
thf(48,axiom,
! [V_X: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ V_H @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth_OInj_0) ).
thf(49,axiom,
c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osimps_I5_J_0) ).
thf(50,axiom,
! [V_A: $i,V_H: $i] : ( hBOOL @ ( c_in @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Agent__synth_0) ).
thf(51,axiom,
! [V_agt: $i,V_H: $i] : ( hBOOL @ ( c_in @ ( c_Message_Omsg_OAgent @ V_agt ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth_OAgent_0) ).
thf(52,axiom,
! [V_X: $i,V_evs: $i,V_A: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ 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_Crypt__Spy__analz__bad_0) ).
thf(53,axiom,
! [V_msg1: $i,V_msg2: $i,V_msg1_H: $i,V_msg2_H: $i] :
( ( ( c_Message_Omsg_OMPair @ V_msg1 @ V_msg2 )
!= ( c_Message_Omsg_OMPair @ V_msg1_H @ V_msg2_H ) )
| ( V_msg2 = V_msg2_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I6_J_1) ).
thf(54,axiom,
! [V_msg1: $i,V_msg2: $i,V_msg1_H: $i,V_msg2_H: $i] :
( ( ( c_Message_Omsg_OMPair @ V_msg1 @ V_msg2 )
!= ( c_Message_Omsg_OMPair @ V_msg1_H @ V_msg2_H ) )
| ( V_msg1 = V_msg1_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I6_J_0) ).
thf(55,axiom,
! [V_X: $i,V_A: $i,V_evs: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Event_Oknows @ V_A @ V_evs ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Notes__imp__knows_0) ).
thf(56,axiom,
! [V_A: $i,V_X: $i,V_evs: $i] :
( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) )
| ( hBOOL @ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Spy__Notes_1) ).
thf(57,axiom,
! [V_y: $i,V_xs: $i,T_a: $i,V_x: $i] :
( ( hBOOL @ ( c_in @ V_y @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) )
| ( V_y = V_x )
| ~ ( hBOOL @ ( c_in @ V_y @ ( c_List_Oset @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__ConsD_0) ).
thf(58,axiom,
! [V_nat: $i,V_msg: $i,V_nat_H: $i,V_msg_H: $i] :
( ( ( c_Message_Omsg_OCrypt @ V_nat @ V_msg )
!= ( c_Message_Omsg_OCrypt @ V_nat_H @ V_msg_H ) )
| ( V_msg = V_msg_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I7_J_1) ).
thf(59,axiom,
! [V_nat: $i,V_msg: $i,V_nat_H: $i,V_msg_H: $i] :
( ( ( c_Message_Omsg_OCrypt @ V_nat @ V_msg )
!= ( c_Message_Omsg_OCrypt @ V_nat_H @ V_msg_H ) )
| ( V_nat = V_nat_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I7_J_0) ).
thf(60,axiom,
! [V_S: $i,V_x: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_S @ V_x ) )
| ~ ( hBOOL @ ( c_in @ V_x @ V_S @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_0) ).
thf(61,axiom,
! [V_x: $i,V_S: $i,T_a: $i] :
( ( hBOOL @ ( c_in @ V_x @ V_S @ T_a ) )
| ~ ( hBOOL @ ( hAPP @ V_S @ V_x ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_1) ).
thf(62,axiom,
! [V_X: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__analzD_0) ).
thf(63,axiom,
! [V_A: $i,V_evs: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ V_A ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Spy__analz__shrK_1) ).
thf(64,axiom,
! [V_A: $i,V_evs: $i] :
( ( hBOOL @ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ V_A ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Spy__analz__shrK_0) ).
thf(65,axiom,
! [V_nat_H: $i,V_agent: $i] :
( ( hAPP @ c_Message_Omsg_OKey @ V_nat_H )
!= ( c_Message_Omsg_OAgent @ V_agent ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I13_J_0) ).
thf(66,axiom,
! [V_A: $i,V_evs: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ V_A ) ) @ ( c_Event_Oknows @ V_A @ V_evs ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_shrK__in__knows_0) ).
thf(67,axiom,
! [V_nat_H: $i,V_msg_H: $i,V_agent: $i] :
( ( c_Message_Omsg_OCrypt @ V_nat_H @ V_msg_H )
!= ( c_Message_Omsg_OAgent @ V_agent ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I19_J_0) ).
thf(68,axiom,
! [V_msg1: $i,V_msg2: $i,V_nat_H: $i,V_msg_H: $i] :
( ( c_Message_Omsg_OMPair @ V_msg1 @ V_msg2 )
!= ( c_Message_Omsg_OCrypt @ V_nat_H @ V_msg_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I48_J_0) ).
thf(69,axiom,
! [V_agent1: $i,V_agent2: $i,V_msg: $i,V_agent_H: $i,V_msg_H: $i] :
( ( c_Event_Oevent_OSays @ V_agent1 @ V_agent2 @ V_msg )
!= ( c_Event_Oevent_ONotes @ V_agent_H @ V_msg_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I6_J_0) ).
thf(70,axiom,
! [V_agent: $i,V_nat_H: $i,V_msg_H: $i] :
( ( c_Message_Omsg_OAgent @ V_agent )
!= ( c_Message_Omsg_OCrypt @ V_nat_H @ V_msg_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I18_J_0) ).
thf(71,axiom,
! [V_X: $i,V_Y: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_Y @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_MPair__synth__analz_2) ).
thf(72,axiom,
! [V_A: $i,V_evs: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ V_A ) ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Spy__spies__bad__shrK_0) ).
thf(73,axiom,
! [V_agent: $i,V_msg1_H: $i,V_msg2_H: $i] :
( ( c_Message_Omsg_OAgent @ V_agent )
!= ( c_Message_Omsg_OMPair @ V_msg1_H @ V_msg2_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I16_J_0) ).
thf(74,axiom,
! [V_nat: $i,V_nat_H: $i] :
( ( ( hAPP @ c_Message_Omsg_OKey @ V_nat )
!= ( hAPP @ c_Message_Omsg_OKey @ V_nat_H ) )
| ( V_nat = V_nat_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I4_J_0) ).
thf(75,axiom,
! [V_X: $i,V_X_H: $i,V_evs: $i,V_A_H: $i,V_NA_H: $i,V_B_H: $i,V_K: $i,V_A: $i,V_NA: $i,V_B: $i] :
( ( V_X = V_X_H )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A_H @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A_H ) @ ( c_Message_Omsg_OMPair @ V_NA_H @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B_H ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X_H ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_unique__session__keys_3) ).
thf(76,axiom,
! [V_B: $i,V_B_H: $i,V_evs: $i,V_A_H: $i,V_NA_H: $i,V_K: $i,V_X_H: $i,V_A: $i,V_NA: $i,V_X: $i] :
( ( V_B = V_B_H )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A_H @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A_H ) @ ( c_Message_Omsg_OMPair @ V_NA_H @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B_H ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X_H ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_unique__session__keys_2) ).
thf(77,axiom,
! [V_NA: $i,V_NA_H: $i,V_evs: $i,V_A_H: $i,V_B_H: $i,V_K: $i,V_X_H: $i,V_A: $i,V_B: $i,V_X: $i] :
( ( V_NA = V_NA_H )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A_H @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A_H ) @ ( c_Message_Omsg_OMPair @ V_NA_H @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B_H ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X_H ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_unique__session__keys_1) ).
thf(78,axiom,
! [V_A: $i,V_A_H: $i,V_evs: $i,V_NA_H: $i,V_B_H: $i,V_K: $i,V_X_H: $i,V_NA: $i,V_B: $i,V_X: $i] :
( ( V_A = V_A_H )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A_H @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A_H ) @ ( c_Message_Omsg_OMPair @ V_NA_H @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B_H ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X_H ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_unique__session__keys_0) ).
thf(79,axiom,
! [V_X: $i,V_H: $i,V_Y: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ V_H @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_MPair__synth_0) ).
thf(80,axiom,
! [V_Y: $i,V_H: $i,V_X: $i] :
( ( hBOOL @ ( c_in @ V_Y @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ V_H @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_MPair__synth_1) ).
thf(81,axiom,
! [V_X: $i,V_evs: $i,V_A: $i,V_B: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__imp__analz__Spy_0) ).
thf(82,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osimps_I4_J_0) ).
thf(83,axiom,
! [V_c: $i,V_evs: $i,V_A: $i,V_X: $i] :
( ~ ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__mono__contra_I2_J_0) ).
thf(84,axiom,
! [V_X: $i,V_H: $i,V_A: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ V_A ) ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ V_X ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__shrK__Decrypt_0) ).
thf(85,axiom,
! [V_K: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_H @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Key__synth_0) ).
thf(86,axiom,
! [V_K: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_H @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Key__synth__eq_1) ).
thf(87,axiom,
! [V_K_H: $i,V_A: $i,V_evs: $i,V_N: $i,V_B: $i,V_K: $i,V_X: $i] :
( ( V_K_H
= ( hAPP @ c_Public_OshrK @ V_A ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OCrypt @ V_K_H @ ( c_Message_Omsg_OMPair @ V_N @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__Server__message__form_2) ).
thf(88,axiom,
! [V_msg1_H: $i,V_msg2_H: $i,V_agent: $i] :
( ( c_Message_Omsg_OMPair @ V_msg1_H @ V_msg2_H )
!= ( c_Message_Omsg_OAgent @ V_agent ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I17_J_0) ).
thf(89,axiom,
! [V_X: $i,V_evs: $i,V_A: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Notes__imp__knows__Spy_0) ).
thf(90,axiom,
! [V_nat_H: $i,V_msg_H: $i,V_nat: $i] :
( ( c_Message_Omsg_OCrypt @ V_nat_H @ V_msg_H )
!= ( hAPP @ c_Message_Omsg_OKey @ V_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I43_J_0) ).
thf(91,axiom,
! [V_agent: $i,V_msg: $i,V_agent_H: $i,V_msg_H: $i] :
( ( ( c_Event_Oevent_ONotes @ V_agent @ V_msg )
!= ( c_Event_Oevent_ONotes @ V_agent_H @ V_msg_H ) )
| ( V_msg = V_msg_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I3_J_1) ).
thf(92,axiom,
! [V_agent: $i,V_msg: $i,V_agent_H: $i,V_msg_H: $i] :
( ( ( c_Event_Oevent_ONotes @ V_agent @ V_msg )
!= ( c_Event_Oevent_ONotes @ V_agent_H @ V_msg_H ) )
| ( V_agent = V_agent_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I3_J_0) ).
thf(93,axiom,
! [V_B: $i,V_X: $i,V_evsf: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ V_B @ V_X ) @ V_evsf @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evsf ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_evsf @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__shared_OFake_0) ).
thf(94,axiom,
hBOOL @ ( c_in @ c_Message_Oagent_OSpy @ c_Event_Obad @ tc_Message_Oagent ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Spy__in__bad_0) ).
thf(95,axiom,
! [V_X: $i,V_evs: $i,V_A: $i,V_B: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__imp__spies_0) ).
thf(96,axiom,
! [V_X: $i,V_Y: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_Y @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth_OMPair_0) ).
thf(97,axiom,
! [V_X: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ V_H @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz_OInj_0) ).
thf(98,axiom,
! [V_agent1: $i,V_agent2: $i,V_msg: $i,V_agent1_H: $i,V_agent2_H: $i,V_msg_H: $i] :
( ( ( c_Event_Oevent_OSays @ V_agent1 @ V_agent2 @ V_msg )
!= ( c_Event_Oevent_OSays @ V_agent1_H @ V_agent2_H @ V_msg_H ) )
| ( V_msg = V_msg_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I1_J_2) ).
thf(99,axiom,
! [V_agent1: $i,V_agent2: $i,V_msg: $i,V_agent1_H: $i,V_agent2_H: $i,V_msg_H: $i] :
( ( ( c_Event_Oevent_OSays @ V_agent1 @ V_agent2 @ V_msg )
!= ( c_Event_Oevent_OSays @ V_agent1_H @ V_agent2_H @ V_msg_H ) )
| ( V_agent2 = V_agent2_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I1_J_1) ).
thf(100,axiom,
! [V_agent1: $i,V_agent2: $i,V_msg: $i,V_agent1_H: $i,V_agent2_H: $i,V_msg_H: $i] :
( ( ( c_Event_Oevent_OSays @ V_agent1 @ V_agent2 @ V_msg )
!= ( c_Event_Oevent_OSays @ V_agent1_H @ V_agent2_H @ V_msg_H ) )
| ( V_agent1 = V_agent1_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I1_J_0) ).
thf(101,axiom,
! [V_agent: $i,V_nat_H: $i] :
( ( c_Message_Omsg_OAgent @ V_agent )
!= ( hAPP @ c_Message_Omsg_OKey @ V_nat_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I12_J_0) ).
thf(102,axiom,
! [V_a: $i,V_list: $i,T_a: $i,V_a_H: $i,V_list_H: $i] :
( ( ( c_List_Olist_OCons @ V_a @ V_list @ T_a )
!= ( c_List_Olist_OCons @ V_a_H @ V_list_H @ T_a ) )
| ( V_a = V_a_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list_Oinject_0) ).
thf(103,axiom,
! [V_a: $i,V_list: $i,T_a: $i,V_a_H: $i,V_list_H: $i] :
( ( ( c_List_Olist_OCons @ V_a @ V_list @ T_a )
!= ( c_List_Olist_OCons @ V_a_H @ V_list_H @ T_a ) )
| ( V_list = V_list_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list_Oinject_1) ).
thf(104,axiom,
! [V_X: $i,V_H: $i,V_Y: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz_OFst_0) ).
thf(105,axiom,
! [V_Y: $i,V_H: $i,V_X: $i] :
( ( hBOOL @ ( c_in @ V_Y @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz_OSnd_0) ).
thf(106,axiom,
! [V_H: $i] :
( ( c_Message_Oanalz @ ( c_Message_Oanalz @ V_H ) )
= ( c_Message_Oanalz @ V_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__idem_0) ).
thf(107,axiom,
! [V_X: $i,V_H: $i,V_Y: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_MPair__synth__analz_0) ).
thf(108,axiom,
! [V_Y: $i,V_H: $i,V_X: $i] :
( ( hBOOL @ ( c_in @ V_Y @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_MPair__synth__analz_1) ).
thf(109,axiom,
! [V_X: $i,V_A: $i,V_evs: $i,V_B: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Event_Oknows @ V_A @ V_evs ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__imp__knows_0) ).
thf(110,axiom,
! [V_agent: $i,V_agent_H: $i] :
( ( ( c_Message_Omsg_OAgent @ V_agent )
!= ( c_Message_Omsg_OAgent @ V_agent_H ) )
| ( V_agent = V_agent_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I1_J_0) ).
thf(111,axiom,
! [V_A: $i,V_NA: $i,V_B: $i,V_K: $i,V_X: $i,V_evs: $i] :
( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_A__trusts__NS2_0) ).
thf(112,axiom,
! [V_NA: $i,V_NB: $i,V_K: $i,V_evso: $i,V_A: $i,V_B: $i,V_X: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NB ) @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) ) ) ) @ V_evso @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evso @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_B @ V_A @ ( c_Message_Omsg_OCrypt @ V_K @ ( c_Message_Omsg_ONonce @ V_NB ) ) ) @ ( c_List_Oset @ V_evso @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ V_evso @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__shared_OOops_0) ).
thf(113,axiom,
! [V_X: $i,V_evs: $i,V_B: $i,V_K: $i,V_A: $i,V_S: $i,V_NA: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ( V_X
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OAgent @ V_A ) ) ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_S @ V_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__S__message__form_1) ).
thf(114,axiom,
! [V_A: $i,V_B: $i,V_X: $i,V_evs3: $i,V_NA: $i,V_S: $i,V_K: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ V_evs3 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_ONonce @ V_NA ) ) ) ) @ ( c_List_Oset @ V_evs3 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_S @ V_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evs3 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( V_A = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_in @ V_evs3 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__shared_ONS3_0) ).
thf(115,axiom,
! [V_X: $i,V_B: $i,V_K: $i,V_A: $i,V_evs: $i,V_NA: $i] :
( ( V_X
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OAgent @ V_A ) ) ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cert__A__form_1) ).
thf(116,axiom,
! [V_K: $i,V_evs: $i,V_A: $i,V_NA: $i,V_B: $i,V_X: $i] :
( ( hBOOL @ ( c_in @ V_K @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ V_B @ ( c_Message_Omsg_OMPair @ V_K @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Oops__parts__spies_0) ).
thf(117,axiom,
! [V_A: $i,V_evs: $i] :
( ( hBOOL @ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ V_A ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Spy__see__shrK_0) ).
thf(118,axiom,
! [V_A: $i,V_evs: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ V_A ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Spy__see__shrK_1) ).
thf(119,axiom,
! [V_X: $i,V_evs: $i,V_S: $i,V_A: $i,V_KA: $i,V_N: $i,V_B: $i,V_K: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_S @ V_A @ ( c_Message_Omsg_OCrypt @ V_KA @ ( c_Message_Omsg_OMPair @ V_N @ ( c_Message_Omsg_OMPair @ V_B @ ( c_Message_Omsg_OMPair @ V_K @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_NS3__msg__in__parts__spies_0) ).
thf(120,axiom,
! [V_B: $i,V_X: $i,V_evsf: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ V_B @ V_X ) @ V_evsf @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evsf ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ V_evsf ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__sharedp_OFake_0) ).
thf(121,axiom,
! [V_A: $i,V_X: $i,V_evs: $i] :
( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ V_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Spy__Notes_0) ).
thf(122,axiom,
! [V_NA: $i,V_NB: $i,V_K: $i,V_evso: $i,V_A: $i,V_B: $i,V_X: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NB ) @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) ) ) ) @ V_evso @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evso @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_B @ V_A @ ( c_Message_Omsg_OCrypt @ V_K @ ( c_Message_Omsg_ONonce @ V_NB ) ) ) @ ( c_List_Oset @ V_evso @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ V_evso ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__sharedp_OOops_0) ).
thf(123,axiom,
! [V_X: $i,V_evs: $i,V_A: $i,V_B: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__imp__parts__knows__Spy_0) ).
thf(124,axiom,
! [V_A: $i,V_B: $i,V_X: $i,V_evs3: $i,V_NA: $i,V_S: $i,V_K: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ V_evs3 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_ONonce @ V_NA ) ) ) ) @ ( c_List_Oset @ V_evs3 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_S @ V_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evs3 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( V_A = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ V_evs3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__sharedp_ONS3_0) ).
thf(125,axiom,
! [V_X: $i,V_A: $i,V_evs: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Event_Oknows @ V_A @ V_evs ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OGets @ V_A @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( V_A = c_Message_Oagent_OSpy ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Gets__imp__knows__agents_0) ).
thf(126,axiom,
! [V_c: $i,V_evs: $i,V_A: $i,V_X: $i] :
( ~ ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__mono__contra_I3_J_0) ).
thf(127,axiom,
! [V_b: $i,V_A: $i,V_evs: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_A ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__spies__pubK_0) ).
thf(128,axiom,
! [V_X: $i,V_H: $i,V_K: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ V_K ) ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__synth__analz_0) ).
thf(129,axiom,
! [V_K: $i,V_X: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ V_K ) ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__synth__analz_1) ).
thf(130,axiom,
! [V_c: $i,V_A_H: $i,V_b: $i,V_A: $i] :
( ( hAPP @ ( c_Public_OpublicKey @ V_c ) @ V_A_H )
!= ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_publicKey__neq__privateKey_0) ).
thf(131,axiom,
! [V_c: $i,V_a: $i,V_G: $i] :
( ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_a @ V_G @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oparts @ V_G ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__insertI_0) ).
thf(132,axiom,
! [V_b: $i,V_C: $i,V_A: $i] :
( ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_C ) )
!= ( hAPP @ c_Public_OshrK @ V_A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_shrK__neq__priK_0) ).
thf(133,axiom,
! [V_K: $i,V_H: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__insert__Key_0) ).
thf(134,axiom,
! [V_A: $i,V_b: $i,V_C: $i] :
( ( hAPP @ c_Public_OshrK @ V_A )
!= ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_priK__neq__shrK_0) ).
thf(135,axiom,
! [V_N: $i,V_H: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ V_N ) @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ V_N ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__insert__Nonce_0) ).
thf(136,axiom,
! [V_K: $i] :
( ( hAPP @ c_Message_OinvKey @ ( hAPP @ c_Message_OinvKey @ V_K ) )
= V_K ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_invKey_0) ).
thf(137,axiom,
! [V_x: $i,V_A: $i,T_a: $i] : ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ V_x @ V_A @ T_a ) @ V_x ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_1) ).
thf(138,axiom,
! [V_X: $i,V_H: $i] :
( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) )
= ( c_Message_Oparts @ V_H ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__cut__eq_0) ).
thf(139,axiom,
! [V_H: $i] :
( ( c_Message_Oparts @ ( c_Message_Oparts @ V_H ) )
= ( c_Message_Oparts @ V_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__idem_0) ).
thf(140,axiom,
! [V_agent: $i,V_msg: $i,V_agent_H: $i,V_msg_H: $i] :
( ( ( c_Event_Oevent_OGets @ V_agent @ V_msg )
!= ( c_Event_Oevent_OGets @ V_agent_H @ V_msg_H ) )
| ( V_agent = V_agent_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I2_J_0) ).
thf(141,axiom,
! [V_agent: $i,V_msg: $i,V_agent_H: $i,V_msg_H: $i] :
( ( ( c_Event_Oevent_OGets @ V_agent @ V_msg )
!= ( c_Event_Oevent_OGets @ V_agent_H @ V_msg_H ) )
| ( V_msg = V_msg_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I2_J_1) ).
thf(142,axiom,
! [V_agt: $i,V_H: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ V_agt ) @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ V_agt ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__insert__Agent_0) ).
thf(143,axiom,
! [V_X: $i,V_Y: $i,V_H: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ ( c_Set_Oinsert @ V_Y @ V_H @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__insert__MPair_0) ).
thf(144,axiom,
! [V_X: $i,V_K: $i,V_N: $i,V_A: $i] :
( ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_X @ V_K ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ V_N ) @ V_A @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ V_N ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_X @ V_K ) @ V_A @ tc_Message_Omsg ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pushes_I9_J_0) ).
thf(145,axiom,
! [V_A: $i,V_x: $i,V_y: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_A @ V_x ) )
| ( V_y = V_x )
| ~ ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ V_y @ V_A @ T_a ) @ V_x ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_0) ).
thf(146,axiom,
! [V_x: $i,V_A: $i,T_a: $i] :
( ( c_Set_Oinsert @ V_x @ ( c_Set_Oinsert @ V_x @ V_A @ T_a ) @ T_a )
= ( c_Set_Oinsert @ V_x @ V_A @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__absorb2_0) ).
thf(147,axiom,
! [V_N: $i,V_H: $i] :
( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ V_N ) @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ V_N ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert__Nonce_0) ).
thf(148,axiom,
! [V_K: $i,V_K_H: $i] :
( ( ( hAPP @ c_Message_OinvKey @ V_K )
!= ( hAPP @ c_Message_OinvKey @ V_K_H ) )
| ( V_K = V_K_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_invKey__eq_0) ).
thf(149,axiom,
! [V_b: $i,V_A: $i,V_c: $i,V_A_H: $i] :
( ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_A ) )
!= ( hAPP @ ( c_Public_OpublicKey @ V_c ) @ V_A_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_privateKey__neq__publicKey_0) ).
thf(150,axiom,
! [V_b: $i,V_A: $i,V_c: $i,V_A_H: $i] :
( ( ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_A )
!= ( hAPP @ ( c_Public_OpublicKey @ V_c ) @ V_A_H ) )
| ( V_A = V_A_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_publicKey__inject_1) ).
thf(151,axiom,
! [V_b: $i,V_A: $i,V_c: $i,V_A_H: $i] :
( ( ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_A )
!= ( hAPP @ ( c_Public_OpublicKey @ V_c ) @ V_A_H ) )
| ( V_b = V_c ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_publicKey__inject_0) ).
thf(152,axiom,
! [V_nat: $i,V_nat_H: $i] :
( ( ( c_Message_Omsg_ONonce @ V_nat )
!= ( c_Message_Omsg_ONonce @ V_nat_H ) )
| ( V_nat = V_nat_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I3_J_0) ).
thf(153,axiom,
! [V_x: $i,V_y: $i,V_A: $i,T_a: $i] :
( ( c_Set_Oinsert @ V_x @ ( c_Set_Oinsert @ V_y @ V_A @ T_a ) @ T_a )
= ( c_Set_Oinsert @ V_y @ ( c_Set_Oinsert @ V_x @ V_A @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__commute_0) ).
thf(154,axiom,
! [V_K: $i,V_N: $i,V_A: $i] :
( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ V_N ) @ V_A @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ V_N ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_A @ tc_Message_Omsg ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pushes_I2_J_0) ).
thf(155,axiom,
! [V_K: $i,V_X: $i,V_H: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__insert__Crypt_0) ).
thf(156,axiom,
! [V_y: $i,V_A: $i,T_a: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ V_y @ V_A @ T_a ) @ V_x ) )
| ~ ( hBOOL @ ( hAPP @ V_A @ V_x ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_2) ).
thf(157,axiom,
! [V_a: $i,V_b: $i,V_A: $i,T_a: $i] :
( ( hBOOL @ ( c_in @ V_a @ ( c_Set_Oinsert @ V_b @ V_A @ T_a ) @ T_a ) )
| ~ ( hBOOL @ ( c_in @ V_a @ V_A @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__iff_2) ).
thf(158,axiom,
! [V_a: $i,V_b: $i,V_B: $i,T_a: $i] :
( ( hBOOL @ ( c_in @ V_a @ ( c_Set_Oinsert @ V_b @ V_B @ T_a ) @ T_a ) )
| ~ ( hBOOL @ ( c_in @ V_a @ V_B @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insertCI_0) ).
thf(159,axiom,
! [V_a: $i,V_A: $i,T_a: $i,V_b: $i] :
( ( hBOOL @ ( c_in @ V_a @ V_A @ T_a ) )
| ( V_a = V_b )
| ~ ( hBOOL @ ( c_in @ V_a @ ( c_Set_Oinsert @ V_b @ V_A @ T_a ) @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insertE_0) ).
thf(160,axiom,
! [V_x: $i,V_A: $i,T_a: $i] : ( hBOOL @ ( c_in @ V_x @ ( c_Set_Oinsert @ V_x @ V_A @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__iff_1) ).
thf(161,axiom,
! [V_a: $i,V_B: $i,T_a: $i] : ( hBOOL @ ( c_in @ V_a @ ( c_Set_Oinsert @ V_a @ V_B @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insertI1_0) ).
thf(162,axiom,
! [V_x: $i,V_B: $i,T_a: $i] : ( hBOOL @ ( c_in @ V_x @ ( c_Set_Oinsert @ V_x @ V_B @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insertCI_1) ).
thf(163,axiom,
! [V_x: $i,V_A: $i,T_a: $i,V_B: $i] :
( ( ( c_Set_Oinsert @ V_x @ V_A @ T_a )
!= ( c_Set_Oinsert @ V_x @ V_B @ T_a ) )
| ( hBOOL @ ( c_in @ V_x @ V_B @ T_a ) )
| ( hBOOL @ ( c_in @ V_x @ V_A @ T_a ) )
| ( V_A = V_B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__ident_0) ).
thf(164,axiom,
! [V_a: $i,V_A: $i,T_a: $i] :
( ( ( c_Set_Oinsert @ V_a @ V_A @ T_a )
= V_A )
| ~ ( hBOOL @ ( c_in @ V_a @ V_A @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__absorb_0) ).
thf(165,axiom,
! [V_X: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ V_H @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts_OInj_0) ).
thf(166,axiom,
! [V_X: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oparts @ ( c_Message_Oparts @ V_H ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__partsD_0) ).
thf(167,axiom,
! [V_nat: $i,V_msg1_H: $i,V_msg2_H: $i] :
( ( c_Message_Omsg_ONonce @ V_nat )
!= ( c_Message_Omsg_OMPair @ V_msg1_H @ V_msg2_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I34_J_0) ).
thf(168,axiom,
! [V_msg1_H: $i,V_msg2_H: $i,V_nat: $i] :
( ( c_Message_Omsg_OMPair @ V_msg1_H @ V_msg2_H )
!= ( c_Message_Omsg_ONonce @ V_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I35_J_0) ).
thf(169,axiom,
! [V_nat_H: $i,V_msg_H: $i,V_nat: $i] :
( ( c_Message_Omsg_OCrypt @ V_nat_H @ V_msg_H )
!= ( c_Message_Omsg_ONonce @ V_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I37_J_0) ).
thf(170,axiom,
! [V_nat: $i,V_nat_H: $i,V_msg_H: $i] :
( ( c_Message_Omsg_ONonce @ V_nat )
!= ( c_Message_Omsg_OCrypt @ V_nat_H @ V_msg_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I36_J_0) ).
thf(171,axiom,
! [V_H: $i] :
( ( c_Message_Oparts @ ( c_Message_Oanalz @ V_H ) )
= ( c_Message_Oparts @ V_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__analz_0) ).
thf(172,axiom,
! [V_H: $i,V_H_H: $i,V_X: $i] :
( ( ( c_Message_Oanalz @ V_H )
!= ( c_Message_Oanalz @ V_H_H ) )
| ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H_H @ tc_Message_Omsg ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert__cong_0) ).
thf(173,axiom,
! [V_nat_H: $i,V_nat: $i] :
( ( hAPP @ c_Message_Omsg_OKey @ V_nat_H )
!= ( c_Message_Omsg_ONonce @ V_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I31_J_0) ).
thf(174,axiom,
! [V_nat: $i,V_nat_H: $i] :
( ( c_Message_Omsg_ONonce @ V_nat )
!= ( hAPP @ c_Message_Omsg_OKey @ V_nat_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I30_J_0) ).
thf(175,axiom,
! [V_H: $i] :
( ( c_Message_Oanalz @ ( c_Message_Oparts @ V_H ) )
= ( c_Message_Oparts @ V_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__parts_0) ).
thf(176,axiom,
! [V_nat_H: $i,V_agent: $i] :
( ( c_Message_Omsg_ONonce @ V_nat_H )
!= ( c_Message_Omsg_OAgent @ V_agent ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I11_J_0) ).
thf(177,axiom,
! [V_agent: $i,V_nat_H: $i] :
( ( c_Message_Omsg_OAgent @ V_agent )
!= ( c_Message_Omsg_ONonce @ V_nat_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I10_J_0) ).
thf(178,axiom,
! [V_agent1: $i,V_agent2: $i,V_msg: $i,V_agent_H: $i,V_msg_H: $i] :
( ( c_Event_Oevent_OSays @ V_agent1 @ V_agent2 @ V_msg )
!= ( c_Event_Oevent_OGets @ V_agent_H @ V_msg_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I4_J_0) ).
thf(179,axiom,
! [V_agent_H: $i,V_msg_H: $i,V_agent1: $i,V_agent2: $i,V_msg: $i] :
( ( c_Event_Oevent_OGets @ V_agent_H @ V_msg_H )
!= ( c_Event_Oevent_OSays @ V_agent1 @ V_agent2 @ V_msg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I5_J_0) ).
thf(180,axiom,
! [V_A: $i,V_b: $i,V_C: $i] :
( ( hAPP @ c_Public_OshrK @ V_A )
!= ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pubK__neq__shrK_0) ).
thf(181,axiom,
! [V_b: $i,V_C: $i,V_A: $i] :
( ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_C )
!= ( hAPP @ c_Public_OshrK @ V_A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_shrK__neq__pubK_0) ).
thf(182,axiom,
! [V_A: $i] :
( ( hAPP @ c_Message_OinvKey @ ( hAPP @ c_Public_OshrK @ V_A ) )
= ( hAPP @ c_Public_OshrK @ V_A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_invKey__shrK_0) ).
thf(183,axiom,
! [V_agent_H: $i,V_msg_H: $i,V_agent: $i,V_msg: $i] :
( ( c_Event_Oevent_ONotes @ V_agent_H @ V_msg_H )
!= ( c_Event_Oevent_OGets @ V_agent @ V_msg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I9_J_0) ).
thf(184,axiom,
! [V_agent: $i,V_msg: $i,V_agent_H: $i,V_msg_H: $i] :
( ( c_Event_Oevent_OGets @ V_agent @ V_msg )
!= ( c_Event_Oevent_ONotes @ V_agent_H @ V_msg_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_event_Osimps_I8_J_0) ).
thf(185,axiom,
! [V_A: $i,V_X: $i,V_evs: $i] :
( ( ( c_Event_Oknows @ V_A @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ V_X @ ( c_Event_Oknows @ V_A @ V_evs ) @ tc_Message_Omsg ) )
| ( V_A = c_Message_Oagent_OSpy ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Gets_0) ).
thf(186,axiom,
! [V_x: $i,V_xs: $i,T_a: $i] :
( ( c_List_Oset @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= ( c_Set_Oinsert @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_List_Oset_Osimps_I2_J_0) ).
thf(187,axiom,
! [V_Y: $i,V_H: $i,V_X: $i] :
( ( hBOOL @ ( c_in @ V_Y @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts_OSnd_0) ).
thf(188,axiom,
! [V_X: $i,V_H: $i,V_Y: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts_OFst_0) ).
thf(189,axiom,
! [V_X: $i,V_H: $i,V_K: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts_OBody_0) ).
thf(190,axiom,
! [V_X: $i,V_K: $i,V_X_H: $i,V_Y: $i,V_A: $i] :
( ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_X @ V_K ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ V_X_H @ V_Y ) @ V_A @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ V_X_H @ V_Y ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_X @ V_K ) @ V_A @ tc_Message_Omsg ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pushes_I12_J_0) ).
thf(191,axiom,
! [V_Y: $i,V_H: $i,V_X: $i] :
( ( hBOOL @ ( c_in @ V_Y @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_Y @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__cut_0) ).
thf(192,axiom,
! [V_X: $i,V_H: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ V_H ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert__eq_0) ).
thf(193,axiom,
! [V_c: $i,V_a: $i,V_G: $i] :
( ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_a @ V_G @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oanalz @ V_G ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insertI_0) ).
thf(194,axiom,
! [V_c: $i,V_H: $i] :
( ~ ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__parts__not__analz_0) ).
thf(195,axiom,
! [V_c: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__into__parts_0) ).
thf(196,axiom,
! [V_X: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__conj__parts_0) ).
thf(197,axiom,
! [V_X: $i,V_Y: $i,V_H: $i] :
( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ ( c_Set_Oinsert @ V_Y @ V_H @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert__MPair_0) ).
thf(198,axiom,
! [V_K: $i,V_X: $i,V_Y: $i,V_A: $i] :
( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ V_A @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_A @ tc_Message_Omsg ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pushes_I5_J_0) ).
thf(199,axiom,
! [V_K: $i,V_X: $i,V_H: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ V_K ) ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__Crypt__if_0) ).
thf(200,axiom,
! [V_K: $i,V_X: $i,V_H: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ V_K ) ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__Crypt__if_1) ).
thf(201,axiom,
! [V_Y: $i,V_H: $i,V_X: $i] :
( ( hBOOL @ ( c_in @ V_Y @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_Y @ ( c_Message_Osynth @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__cut_0) ).
thf(202,axiom,
! [V_N: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ V_N ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ V_N ) @ V_H @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nonce__synth__eq_1) ).
thf(203,axiom,
! [V_N: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ V_N ) @ V_H @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ V_N ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nonce__synth__eq_0) ).
thf(204,axiom,
! [V_n: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ V_n ) @ V_H @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ V_n ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nonce__synth_0) ).
thf(205,axiom,
! [V_K: $i,V_X: $i,V_K_H: $i,V_A: $i] :
( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_X @ V_K_H ) @ V_A @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_X @ V_K_H ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_A @ tc_Message_Omsg ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pushes_I6_J_0) ).
thf(206,axiom,
! [V_X: $i,V_K: $i,V_C: $i,V_A: $i] :
( ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_X @ V_K ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ V_C ) @ V_A @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ V_C ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_X @ V_K ) @ V_A @ tc_Message_Omsg ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pushes_I8_J_0) ).
thf(207,axiom,
! [V_K: $i,V_C: $i,V_A: $i] :
( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ V_C ) @ V_A @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ V_C ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_A @ tc_Message_Omsg ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_pushes_I1_J_0) ).
thf(208,axiom,
! [V_agt: $i,V_H: $i] :
( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ V_agt ) @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ V_agt ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert__Agent_0) ).
thf(209,axiom,
! [V_X: $i,V_H: $i] :
( ( ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) )
= ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Fake__analz__eq_0) ).
thf(210,axiom,
! [V_b: $i,V_A: $i,V_evs: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_A ) ) ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Spy__spies__bad__privateKey_0) ).
thf(211,axiom,
! [V_A: $i,V_X: $i,V_evs: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Spy__Gets_0) ).
thf(212,axiom,
! [V_A: $i,V_B: $i,V_X: $i,V_evs: $i] :
( ( c_Event_Oknows @ V_A @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ V_X @ ( c_Event_Oknows @ V_A @ V_evs ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Says_0) ).
thf(213,axiom,
( ( c_NS__Shared__Mirabelle_Ons__sharedp @ v_x )
= ( c_in @ v_x @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__sharedp__ns__shared__eq_0) ).
thf(214,axiom,
! [V_A: $i,V_X: $i,V_evs: $i] :
( ( c_Event_Oknows @ V_A @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ V_X @ ( c_Event_Oknows @ V_A @ V_evs ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Notes_0) ).
thf(215,axiom,
! [V_X: $i,V_H: $i,V_K: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ V_K ) ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz_ODecrypt_0) ).
thf(216,axiom,
! [V_b: $i,V_A: $i,V_evs: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_A ) ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_spies__pubK_0) ).
thf(217,axiom,
! [V_A: $i,V_B: $i,V_X: $i,V_evs: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ V_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Spy__Says_0) ).
thf(218,axiom,
! [V_A: $i,V_B: $i,V_NA: $i,V_evs1: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_ONonce @ V_NA ) ) ) ) @ V_evs1 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ V_NA ) @ ( c_Event_Oused @ V_evs1 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_evs1 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__shared_ONS1_0) ).
thf(219,axiom,
! [V_A: $i,V_B: $i,V_NA: $i,V_evs1: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_ONonce @ V_NA ) ) ) ) @ V_evs1 @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ V_NA ) @ ( c_Event_Oused @ V_evs1 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ V_evs1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__sharedp_ONS1_0) ).
thf(220,axiom,
! [V_A: $i,V_B: $i,V_K: $i,V_NB: $i,V_evs5: $i,V_S: $i,V_NA: $i,V_X: $i,V_B_H: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A @ V_B @ ( c_Message_Omsg_OCrypt @ V_K @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NB ) @ ( c_Message_Omsg_ONonce @ V_NB ) ) ) ) @ V_evs5 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_S @ V_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evs5 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_B_H @ V_A @ ( c_Message_Omsg_OCrypt @ V_K @ ( c_Message_Omsg_ONonce @ V_NB ) ) ) @ ( c_List_Oset @ V_evs5 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ V_K @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ V_evs5 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__shared_ONS5_0) ).
thf(221,axiom,
! [V_K: $i,V_X: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg ) ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ V_K ) ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_lemma1_0) ).
thf(222,axiom,
! [V_K: $i,V_X: $i,V_H: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ V_K ) ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_lemma2_0) ).
thf(223,axiom,
! [V_A: $i,V_B: $i,V_K: $i,V_NB: $i,V_evs5: $i,V_S: $i,V_NA: $i,V_X: $i,V_B_H: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A @ V_B @ ( c_Message_Omsg_OCrypt @ V_K @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NB ) @ ( c_Message_Omsg_ONonce @ V_NB ) ) ) ) @ V_evs5 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_S @ V_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evs5 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_B_H @ V_A @ ( c_Message_Omsg_OCrypt @ V_K @ ( c_Message_Omsg_ONonce @ V_NB ) ) ) @ ( c_List_Oset @ V_evs5 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ V_K @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ V_evs5 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__sharedp_ONS5_0) ).
thf(224,axiom,
! [V_X: $i,V_evs: $i,V_K: $i,V_S: $i,V_A: $i,V_NA: $i,V_B: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_K @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_S @ V_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__S__message__form_0) ).
thf(225,axiom,
! [V_K: $i,V_X: $i,V_G: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_G @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ V_G ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ V_H @ V_G @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__analz__insert__eq_1) ).
thf(226,axiom,
! [V_K: $i,V_G: $i,V_X: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ V_G ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_G @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ V_H @ V_G @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__analz__insert__eq_0) ).
thf(227,axiom,
! [V_Z: $i,V_H: $i,V_X: $i] :
( ( hBOOL @ ( c_in @ V_Z @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_Z @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Fake__parts__insert__in__Un_0) ).
thf(228,axiom,
! [V_A: $i,V_NA: $i,V_B: $i,V_KAB: $i,V_evs2: $i,V_A_H: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_KAB ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_KAB ) @ ( c_Message_Omsg_OAgent @ V_A ) ) ) ) ) ) ) ) @ V_evs2 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_A_H @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_ONonce @ V_NA ) ) ) ) @ ( c_List_Oset @ V_evs2 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ V_KAB @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_KAB ) @ ( c_Event_Oused @ V_evs2 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_evs2 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__shared_ONS2_0) ).
thf(229,axiom,
! [V_A: $i,V_NA: $i,V_B: $i,V_KAB: $i,V_evs2: $i,V_A_H: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_KAB ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_KAB ) @ ( c_Message_Omsg_OAgent @ V_A ) ) ) ) ) ) ) ) @ V_evs2 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_A_H @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_ONonce @ V_NA ) ) ) ) @ ( c_List_Oset @ V_evs2 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ V_KAB @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_KAB ) @ ( c_Event_Oused @ V_evs2 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ V_evs2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__sharedp_ONS2_0) ).
thf(230,axiom,
! [V_x: $i,V_AA: $i] :
( ( hBOOL @ ( c_in @ V_x @ V_AA @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ V_x ) @ ( c_Set_Oimage @ c_Public_OshrK @ V_AA @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_shrK__image__eq_0) ).
thf(231,axiom,
! [V_x: $i,V_AA: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ V_x ) @ ( c_Set_Oimage @ c_Public_OshrK @ V_AA @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ V_x @ V_AA @ tc_Message_Oagent ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_shrK__image__eq_1) ).
thf(232,axiom,
! [V_G: $i,V_H: $i] :
( ( c_lessequals @ V_G @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Osynth @ V_G ) @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__subset__iff_0) ).
thf(233,axiom,
! [V_G: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Osynth @ V_G ) @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ V_G @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__subset__iff_1) ).
thf(234,axiom,
! [V_G: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Osynth @ V_G ) @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__mono_0) ).
thf(235,axiom,
! [V_H: $i] : ( c_lessequals @ V_H @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__increasing_0) ).
thf(236,axiom,
! [V_H: $i,V_H_H: $i,V_G: $i,V_G_H: $i] :
( ( ( c_Message_Oanalz @ V_H )
!= ( c_Message_Oanalz @ V_H_H ) )
| ( ( c_Message_Oanalz @ V_G )
!= ( c_Message_Oanalz @ V_G_H ) )
| ( ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_G_H @ V_H_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__cong_0) ).
thf(237,axiom,
! [V_G: $i,V_H: $i] :
( ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oanalz @ V_G ) @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__analz__Un_0) ).
thf(238,axiom,
! [V_H: $i] : ( c_lessequals @ V_H @ ( c_Message_Oanalz @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__increasing_0) ).
thf(239,axiom,
! [V_G: $i,V_H: $i] :
( ( c_lessequals @ V_G @ ( c_Message_Oanalz @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oanalz @ V_G ) @ ( c_Message_Oanalz @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__subset__iff_0) ).
thf(240,axiom,
! [V_G: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ V_G ) @ ( c_Message_Oanalz @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ V_G @ ( c_Message_Oanalz @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__subset__iff_1) ).
thf(241,axiom,
! [V_G: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ V_G ) @ ( c_Message_Oanalz @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__mono_0) ).
thf(242,axiom,
! [V_f: $i,V_x: $i,V_A: $i,T_a: $i,T_b: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ V_f @ V_x ) @ ( c_Set_Oimage @ V_f @ V_A @ T_a @ T_b ) @ T_b ) )
| ~ ( hBOOL @ ( c_in @ V_x @ V_A @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_imageI_0) ).
thf(243,axiom,
! [V_f: $i,V_x: $i,V_A: $i,T_b: $i,T_a: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ V_f @ V_x ) @ ( c_Set_Oimage @ V_f @ V_A @ T_b @ T_a ) @ T_a ) )
| ~ ( hBOOL @ ( c_in @ V_x @ V_A @ T_b ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__eqI_0) ).
thf(244,axiom,
! [V_x: $i,V_A: $i,T_b: $i,V_f: $i,T_a: $i] :
( ~ ( hBOOL @ ( c_in @ V_x @ V_A @ T_b ) )
| ( hBOOL @ ( c_in @ ( hAPP @ V_f @ V_x ) @ ( c_Set_Oimage @ V_f @ V_A @ T_b @ T_a ) @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__iff_2) ).
thf(245,axiom,
! [V_x: $i,V_A: $i,T_aa: $i,V_f: $i,T_a: $i] :
( ~ ( hBOOL @ ( c_in @ V_x @ V_A @ T_aa ) )
| ( hBOOL @ ( c_in @ ( hAPP @ V_f @ V_x ) @ ( c_Set_Oimage @ V_f @ V_A @ T_aa @ T_a ) @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__image__eqI_0) ).
thf(246,axiom,
! [V_x: $i,T_a: $i] : ( hBOOL @ ( c_in @ V_x @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UNIV__I_0) ).
thf(247,axiom,
! [V_c: $i,V_B: $i,T_a: $i,V_A: $i] :
( ( hBOOL @ ( c_in @ V_c @ V_B @ T_a ) )
| ( hBOOL @ ( c_in @ V_c @ V_A @ T_a ) )
| ~ ( hBOOL @ ( c_in @ V_c @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UnE_0) ).
thf(248,axiom,
! [V_c: $i,V_A: $i,V_B: $i,T_a: $i] :
( ( hBOOL @ ( c_in @ V_c @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) )
| ~ ( hBOOL @ ( c_in @ V_c @ V_B @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UnCI_0) ).
thf(249,axiom,
! [V_c: $i,V_A: $i,V_B: $i,T_a: $i] :
( ( hBOOL @ ( c_in @ V_c @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) )
| ~ ( hBOOL @ ( c_in @ V_c @ V_A @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UnCI_1) ).
thf(250,axiom,
! [V_x: $i,V_B: $i,T_a: $i,V_A: $i] :
( ( hBOOL @ ( c_in @ V_x @ V_B @ T_a ) )
| ~ ( hBOOL @ ( c_in @ V_x @ V_A @ T_a ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__mp_0) ).
thf(251,axiom,
! [V_c: $i,V_B: $i,T_a: $i,V_A: $i] :
( ( hBOOL @ ( c_in @ V_c @ V_B @ T_a ) )
| ~ ( hBOOL @ ( c_in @ V_c @ V_A @ T_a ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subsetD_0) ).
thf(252,axiom,
! [V_x: $i,V_B: $i,T_a: $i,V_A: $i] :
( ( hBOOL @ ( c_in @ V_x @ V_B @ T_a ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ V_x @ V_A @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__rev__mp_0) ).
thf(253,axiom,
! [V_t: $i,V_B: $i,T_a: $i,V_A: $i] :
( ( hBOOL @ ( c_in @ V_t @ V_B @ T_a ) )
| ~ ( hBOOL @ ( c_in @ V_t @ V_A @ T_a ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__iff_0) ).
thf(254,axiom,
! [V_K: $i,V_evs: $i] :
( ~ ( hBOOL @ ( c_in @ V_K @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Key__not__used_0) ).
thf(255,axiom,
! [T_b: $i,V_f: $i,V_x: $i,V_g: $i,T_a: $i] :
( ~ ( class_HOL_Oord @ T_b )
| ( c_lessequals @ ( hAPP @ V_f @ V_x ) @ ( hAPP @ V_g @ V_x ) @ T_b )
| ~ ( c_lessequals @ V_f @ V_g @ ( tc_fun @ T_a @ T_b ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__funD_0) ).
thf(256,axiom,
! [V_x: $i,V_b: $i,V_AA: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ V_x ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ V_b ) @ V_AA @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_shrK__notin__image__publicKey_0) ).
thf(257,axiom,
! [V_f: $i,V_a: $i,V_B: $i,T_b: $i,T_a: $i] :
( ( c_Set_Oinsert @ ( hAPP @ V_f @ V_a ) @ ( c_Set_Oimage @ V_f @ V_B @ T_b @ T_a ) @ T_a )
= ( c_Set_Oimage @ V_f @ ( c_Set_Oinsert @ V_a @ V_B @ T_b ) @ T_b @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__image__freshK__simps_I56_J_0) ).
thf(258,axiom,
! [V_b: $i,V_A: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_A ) @ c_Message_OsymKeys @ tc_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__symKeys__pubK_0) ).
thf(259,axiom,
! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Lattices_Olattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a ) @ T_a )
= ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I8_J_0) ).
thf(260,axiom,
! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a ) @ T_a )
= ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__left__idem_0) ).
thf(261,axiom,
! [V_A: $i,V_B: $i,T_a: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__left__absorb_0) ).
thf(262,axiom,
! [V_G: $i,V_H: $i] :
( ( c_lessequals @ V_G @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oparts @ V_G ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__subset__iff_0) ).
thf(263,axiom,
! [V_G: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ V_G ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ V_G @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__subset__iff_1) ).
thf(264,axiom,
! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Lattices_Olattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a )
= ( c_Lattices_Oupper__semilattice__class_Osup @ V_y @ V_x @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I5_J_0) ).
thf(265,axiom,
! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a )
= ( c_Lattices_Oupper__semilattice__class_Osup @ V_y @ V_x @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__commute_0) ).
thf(266,axiom,
! [V_A: $i,V_B: $i,T_a: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ V_B @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__commute_0) ).
thf(267,axiom,
! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Lattices_Olattice @ T_a )
| ( c_lessequals @ V_x @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__ord_I3_J_0) ).
thf(268,axiom,
! [T_a: $i,V_y: $i,V_x: $i] :
( ~ ( class_Lattices_Olattice @ T_a )
| ( c_lessequals @ V_y @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__ord_I4_J_0) ).
thf(269,axiom,
! [T_a: $i,V_x: $i,V_y: $i,V_z: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a ) @ V_z @ T_a )
| ~ ( c_lessequals @ V_y @ V_z @ T_a )
| ~ ( c_lessequals @ V_x @ V_z @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__sup__iff_2) ).
thf(270,axiom,
! [T_a: $i,V_y: $i,V_z: $i,V_x: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_y @ V_z @ T_a ) @ V_x @ T_a )
| ~ ( c_lessequals @ V_z @ V_x @ T_a )
| ~ ( c_lessequals @ V_y @ V_x @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__least_0) ).
thf(271,axiom,
! [T_a: $i,V_y: $i,V_x: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( c_lessequals @ V_y @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__ge2_0) ).
thf(272,axiom,
! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( c_lessequals @ V_x @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__ge1_0) ).
thf(273,axiom,
! [T_a: $i,V_a: $i,V_b: $i,V_x: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_a @ V_b @ T_a ) @ V_x @ T_a )
| ~ ( c_lessequals @ V_b @ V_x @ T_a )
| ~ ( c_lessequals @ V_a @ V_x @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__supI_0) ).
thf(274,axiom,
! [V_A: $i,V_B: $i,T_a: $i,V_C: $i] :
( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_B @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_C @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__least_0) ).
thf(275,axiom,
! [V_A: $i,V_B: $i,T_a: $i] : ( c_lessequals @ V_A @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__upper1_0) ).
thf(276,axiom,
! [V_B: $i,V_A: $i,T_a: $i] : ( c_lessequals @ V_B @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__upper2_0) ).
thf(277,axiom,
! [V_A: $i,V_B: $i,T_a: $i,V_C: $i] :
( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_B @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_C @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__subset__iff_2) ).
thf(278,axiom,
! [T_a: $i,V_x: $i,V_y: $i,V_z: $i] :
( ~ ( class_Lattices_Olattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a ) @ V_z @ T_a )
= ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_y @ V_z @ T_a ) @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I6_J_0) ).
thf(279,axiom,
! [T_a: $i,V_x: $i,V_y: $i,V_z: $i] :
( ~ ( class_Lattices_Olattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_y @ V_z @ T_a ) @ T_a )
= ( c_Lattices_Oupper__semilattice__class_Osup @ V_y @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_z @ T_a ) @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_inf__sup__aci_I7_J_0) ).
thf(280,axiom,
! [V_A: $i,V_B: $i,V_C: $i,T_a: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_B @ V_C @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ V_C @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__image__freshK__simps_I65_J_0) ).
thf(281,axiom,
! [T_a: $i,V_x: $i,V_y: $i,V_z: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_y @ V_z @ T_a ) @ T_a )
= ( c_Lattices_Oupper__semilattice__class_Osup @ V_y @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_z @ T_a ) @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__left__commute_0) ).
thf(282,axiom,
! [T_a: $i,V_x: $i,V_y: $i,V_z: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a ) @ V_z @ T_a )
= ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_y @ V_z @ T_a ) @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__assoc_0) ).
thf(283,axiom,
! [V_A: $i,V_B: $i,T_a: $i,V_C: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_B @ V_C @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__assoc_0) ).
thf(284,axiom,
! [V_A: $i,V_B: $i,V_C: $i,T_a: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_B @ V_C @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ V_B @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_C @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__left__commute_0) ).
thf(285,axiom,
! [V_f: $i,V_x: $i,T_b: $i,T_a: $i] : ( hBOOL @ ( c_in @ ( hAPP @ V_f @ V_x ) @ ( c_Set_Oimage @ V_f @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ T_b @ tc_bool ) ) @ T_b @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rangeI_0) ).
thf(286,axiom,
! [V_G: $i,V_H: $i] : ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ V_G ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__Un__subset1_0) ).
thf(287,axiom,
! [V_G: $i,V_H: $i] : ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oanalz @ V_G ) @ ( c_Message_Oanalz @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__Un_0) ).
thf(288,axiom,
! [T_a: $i,V_x: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_x @ T_a )
= V_x ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__idem_0) ).
thf(289,axiom,
! [V_A: $i,T_a: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_A @ ( tc_fun @ T_a @ tc_bool ) )
= V_A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__absorb_0) ).
thf(290,axiom,
! [T_b: $i,V_f: $i,V_g: $i] :
( ~ ( class_Lattices_Olattice @ T_b )
| ( ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_f @ V_g @ ( tc_fun @ t_a @ T_b ) ) @ v_x )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( hAPP @ V_f @ v_x ) @ ( hAPP @ V_g @ v_x ) @ T_b ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__fun__eq_0) ).
thf(291,axiom,
! [V_b: $i,V_x: $i,V_AA: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_x ) @ ( c_Set_Oimage @ c_Public_OshrK @ V_AA @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_publicKey__notin__image__shrK_0) ).
thf(292,axiom,
! [V_f: $i,V_x: $i,V_B: $i,T_a: $i,V_A: $i,T_b: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ V_f @ V_x ) @ V_B @ T_a ) )
| ~ ( hBOOL @ ( c_in @ V_x @ V_A @ T_b ) )
| ~ ( c_lessequals @ ( c_Set_Oimage @ V_f @ V_A @ T_b @ T_a ) @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__subset__iff_0) ).
thf(293,axiom,
! [V_G: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ V_G ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__mono_0) ).
thf(294,axiom,
! [V_A: $i,V_B: $i,T_a: $i,V_x: $i] :
( ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Set_Oinsert @ V_x @ V_A @ T_a ) @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__subset_1) ).
thf(295,axiom,
! [V_A: $i,V_b: $i,V_B: $i,T_a: $i] :
( ( c_lessequals @ V_A @ ( c_Set_Oinsert @ V_b @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insertI2_0) ).
thf(296,axiom,
! [V_b: $i,V_c: $i,V_x: $i,V_AA: $i] :
( ( V_b = V_c )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_x ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ V_c ) @ V_AA @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_publicKey__image__eq_0) ).
thf(297,axiom,
! [V_x: $i,V_AA: $i,V_b: $i,V_c: $i] :
( ( hBOOL @ ( c_in @ V_x @ V_AA @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_x ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ V_c ) @ V_AA @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_publicKey__image__eq_1) ).
thf(298,axiom,
! [V_x: $i,V_xa: $i,V_AA: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ V_x ) @ V_xa ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ V_x ) @ V_AA @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ V_xa @ V_AA @ tc_Message_Oagent ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_publicKey__image__eq_2) ).
thf(299,axiom,
! [V_a: $i,V_B: $i,T_a: $i,V_C: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oinsert @ V_a @ V_B @ T_a ) @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_Set_Oinsert @ V_a @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_B @ V_C @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__insert__left_0) ).
thf(300,axiom,
! [V_A: $i,V_a: $i,V_B: $i,T_a: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ ( c_Set_Oinsert @ V_a @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_Set_Oinsert @ V_a @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__insert__right_0) ).
thf(301,axiom,
! [V_b: $i,V_x: $i,V_c: $i,V_AA: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_x ) ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ V_c ) @ V_AA @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_privateKey__notin__image__publicKey_0) ).
thf(302,axiom,
! [T_a: $i,V_x: $i] :
( ~ ( class_Lattices_Obounded__lattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ ( c_Orderings_Otop__class_Otop @ T_a ) @ T_a )
= ( c_Orderings_Otop__class_Otop @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__top__right_0) ).
thf(303,axiom,
! [T_a: $i,V_x: $i] :
( ~ ( class_Lattices_Obounded__lattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Otop__class_Otop @ T_a ) @ V_x @ T_a )
= ( c_Orderings_Otop__class_Otop @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__top__left_0) ).
thf(304,axiom,
! [T_a: $i,V_B: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ T_a @ tc_bool ) ) @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_Orderings_Otop__class_Otop @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__UNIV__left_0) ).
thf(305,axiom,
! [V_A: $i,T_a: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_Orderings_Otop__class_Otop @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__UNIV__right_0) ).
thf(306,axiom,
! [V_G: $i,V_H: $i] : ( c_lessequals @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ V_G ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__Un__subset2_0) ).
thf(307,axiom,
! [V_B: $i,V_a: $i,T_a: $i] : ( c_lessequals @ V_B @ ( c_Set_Oinsert @ V_a @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insertI_0) ).
thf(308,axiom,
! [V_K: $i] :
( ( hBOOL @ ( c_in @ V_K @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ V_K ) @ c_Message_OsymKeys @ tc_nat ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_symKeys__invKey__iff_0) ).
thf(309,axiom,
! [V_K: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ V_K ) @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ V_K @ c_Message_OsymKeys @ tc_nat ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_symKeys__invKey__iff_1) ).
thf(310,axiom,
! [V_B: $i,V_x: $i,V_A: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_B @ V_x ) )
| ( hBOOL @ ( hAPP @ V_A @ V_x ) )
| ~ ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ V_x ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup1E_0) ).
thf(311,axiom,
! [V_A: $i,V_B: $i,T_a: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ V_x ) )
| ~ ( hBOOL @ ( hAPP @ V_B @ V_x ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup1CI_0) ).
thf(312,axiom,
! [V_A: $i,V_B: $i,T_a: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ V_x ) )
| ~ ( hBOOL @ ( hAPP @ V_A @ V_x ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup1CI_1) ).
thf(313,axiom,
! [V_K: $i] :
( ( ( hAPP @ c_Message_OinvKey @ V_K )
= V_K )
| ~ ( hBOOL @ ( c_in @ V_K @ c_Message_OsymKeys @ tc_nat ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_invKey__K_0) ).
thf(314,axiom,
! [V_H: $i] : ( c_lessequals @ V_H @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__increasing_0) ).
thf(315,axiom,
! [V_G: $i,V_H: $i] :
( ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ V_G ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__Un_0) ).
thf(316,axiom,
! [V_G: $i,V_H: $i] : ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ V_G ) @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Message_Osynth @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__Un_0) ).
thf(317,axiom,
! [T_a: $i,V_x: $i] : ( hBOOL @ ( hAPP @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ T_a @ tc_bool ) ) @ V_x ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_top1I_0) ).
thf(318,axiom,
! [T_b: $i] :
( ~ ( class_Orderings_Otop @ T_b )
| ( ( hAPP @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ t_a @ T_b ) ) @ v_x )
= ( c_Orderings_Otop__class_Otop @ T_b ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_top__fun__eq_0) ).
thf(319,axiom,
! [V_A: $i,V_B: $i,T_a: $i] :
( ( V_A = V_B )
| ~ ( c_lessequals @ V_B @ V_A @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equalityI_0) ).
thf(320,axiom,
! [V_A: $i,V_B: $i,T_a: $i] :
( ( V_A = V_B )
| ~ ( c_lessequals @ V_B @ V_A @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__eq__subset_2) ).
thf(321,axiom,
! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( V_x = V_y )
| ~ ( c_lessequals @ V_y @ V_x @ T_a )
| ~ ( c_lessequals @ V_x @ V_y @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__eq__iff_2) ).
thf(322,axiom,
! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( V_x = V_y )
| ~ ( c_lessequals @ V_y @ V_x @ T_a )
| ~ ( c_lessequals @ V_x @ V_y @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__antisym_0) ).
thf(323,axiom,
! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( V_x = V_y )
| ~ ( c_lessequals @ V_x @ V_y @ T_a )
| ~ ( c_lessequals @ V_y @ V_x @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__antisym__conv_0) ).
thf(324,axiom,
! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a )
= V_x )
| ~ ( c_lessequals @ V_y @ V_x @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__absorb1_0) ).
thf(325,axiom,
! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a )
!= V_y )
| ( c_lessequals @ V_x @ V_y @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__iff__sup_1) ).
thf(326,axiom,
! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a )
= V_y )
| ~ ( c_lessequals @ V_x @ V_y @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__iff__sup_0) ).
thf(327,axiom,
! [V_A: $i,V_B: $i,T_a: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
= V_B )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__absorb1_0) ).
thf(328,axiom,
! [V_A: $i,V_B: $i,T_a: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
= V_A )
| ~ ( c_lessequals @ V_B @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__absorb2_0) ).
thf(329,axiom,
! [V_A: $i,V_B: $i,T_a: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
!= V_B )
| ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__Un__eq_1) ).
thf(330,axiom,
! [V_K: $i,V_evs: $i,V_A: $i,V_NA: $i,V_B: $i,V_X: $i] :
( ~ ( hBOOL @ ( c_in @ V_K @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cert__A__form_0) ).
thf(331,axiom,
! [V_B: $i,V_A: $i,V_K: $i,V_NB: $i,V_evs4: $i,V_A_H: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_B @ V_A @ ( c_Message_Omsg_OCrypt @ V_K @ ( c_Message_Omsg_ONonce @ V_NB ) ) ) @ V_evs4 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_A_H @ V_B @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OAgent @ V_A ) ) ) ) @ ( c_List_Oset @ V_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ V_K @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ V_NB ) @ ( c_Event_Oused @ V_evs4 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_evs4 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__shared_ONS4_0) ).
thf(332,axiom,
! [V_evs: $i,V_A: $i,V_X: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Spy__subset__knows__Spy__Gets_0) ).
thf(333,axiom,
! [V_evs: $i,V_A: $i,V_X: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Spy__subset__knows__Spy__Notes_0) ).
thf(334,axiom,
! [V_X: $i,V_evs: $i,V_A: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Notes__imp__used_0) ).
thf(335,axiom,
! [V_evs: $i,V_A: $i,V_B: $i,V_X: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ V_evs @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Spy__subset__knows__Spy__Says_0) ).
thf(336,axiom,
! [V_B: $i,V_A: $i,V_K: $i,V_NB: $i,V_evs4: $i,V_A_H: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_B @ V_A @ ( c_Message_Omsg_OCrypt @ V_K @ ( c_Message_Omsg_ONonce @ V_NB ) ) ) @ V_evs4 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_A_H @ V_B @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OAgent @ V_A ) ) ) ) @ ( c_List_Oset @ V_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ V_K @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ V_NB ) @ ( c_Event_Oused @ V_evs4 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ V_evs4 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__sharedp_ONS4_0) ).
thf(337,axiom,
! [V_X: $i,V_evs: $i,V_A: $i,V_B: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__imp__used_0) ).
thf(338,axiom,
! [V_b: $i,V_A: $i,V_evs: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_A ) ) ) @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_privateKey__into__used_0) ).
thf(339,axiom,
! [V_c: $i,V_evs: $i] :
( ( hBOOL @ ( c_in @ V_c @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_usedI_0) ).
thf(340,axiom,
! [V_K: $i,V_evs: $i,V_A: $i,V_K_H: $i,V_N: $i,V_B: $i,V_X: $i] :
( ~ ( hBOOL @ ( c_in @ V_K @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OCrypt @ V_K_H @ ( c_Message_Omsg_OMPair @ V_N @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__Server__message__form_0) ).
thf(341,axiom,
! [V_A: $i,V_evs: $i,V_A_H: $i,V_X: $i] : ( c_lessequals @ ( c_Event_Oknows @ V_A @ V_evs ) @ ( c_Event_Oknows @ V_A @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ V_A_H @ V_X ) @ V_evs @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__subset__knows__Gets_0) ).
thf(342,axiom,
! [V_A: $i,V_evs: $i,V_A_H: $i,V_X: $i] : ( c_lessequals @ ( c_Event_Oknows @ V_A @ V_evs ) @ ( c_Event_Oknows @ V_A @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ V_A_H @ V_X ) @ V_evs @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__subset__knows__Notes_0) ).
thf(343,axiom,
! [V_A: $i,V_evs: $i,V_A_H: $i,V_B: $i,V_X: $i] : ( c_lessequals @ ( c_Event_Oknows @ V_A @ V_evs ) @ ( c_Event_Oknows @ V_A @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A_H @ V_B @ V_X ) @ V_evs @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__subset__knows__Says_0) ).
thf(344,axiom,
! [V_K: $i,V_KAB: $i,V_evs: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ V_KAB ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ V_KAB @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert__freshK_2) ).
thf(345,axiom,
! [V_K: $i,V_evs: $i,V_KAB: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ( V_K = V_KAB )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ V_KAB ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ V_KAB @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert__freshK_0) ).
thf(346,axiom,
! [V_x: $i,V_evs: $i] :
( ( hBOOL @ ( c_in @ V_x @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_x ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ V_x ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert__freshK_1) ).
thf(347,axiom,
! [V_b: $i,V_A: $i,V_evs: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_A ) ) @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_publicKey__into__used_0) ).
thf(348,axiom,
! [V_A: $i,V_evs: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ V_A ) ) @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_shrK__in__used_0) ).
thf(349,axiom,
! [V_B: $i,V_evs: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ V_B ) ) @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_neq__shrK_0) ).
thf(350,axiom,
! [V_K: $i,V_X: $i,V_H: $i] : ( c_lessequals @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg ) ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert__Crypt__subset_0) ).
thf(351,axiom,
! [V_X: $i,V_G: $i,V_H: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_G @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ V_G ) )
| ~ ( c_lessequals @ V_H @ V_G @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_gen__analz__insert__eq_0) ).
thf(352,axiom,
! [V_Y: $i,V_G: $i,V_H: $i,V_X: $i] :
( ( hBOOL @ ( c_in @ V_Y @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_Y @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ V_G @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__cut_0) ).
thf(353,axiom,
! [V_X: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Fake__parts__insert_0) ).
thf(354,axiom,
! [V_A: $i,V_X: $i,V_evs: $i] :
( ( c_Event_Oused @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Event_Oused @ V_evs ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_used__Gets_0) ).
thf(355,axiom,
! [V_A: $i,V_evs: $i,V_e: $i] : ( c_lessequals @ ( c_Event_Oknows @ V_A @ V_evs ) @ ( c_Event_Oknows @ V_A @ ( c_List_Olist_OCons @ V_e @ V_evs @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__subset__knows__Cons_0) ).
thf(356,axiom,
! [V_X: $i,V_H: $i] : ( c_lessequals @ ( c_Set_Oinsert @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) @ ( c_Message_Osynth @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__insert_0) ).
thf(357,axiom,
! [V_G: $i,V_H: $i] :
( ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ V_G ) @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( c_Message_Osynth @ V_G ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__synth__Un_0) ).
thf(358,axiom,
! [V_H: $i] :
( ( c_Message_Oanalz @ ( c_Message_Osynth @ V_H ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oanalz @ V_H ) @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__synth_0) ).
thf(359,axiom,
! [V_G: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_G ) ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__analz__mono_0) ).
thf(360,axiom,
! [V_X: $i,V_H: $i] : ( c_lessequals @ ( c_Set_Oinsert @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert_0) ).
thf(361,axiom,
! [V_H: $i] :
( ( c_Message_Oparts @ ( c_Message_Osynth @ V_H ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ V_H ) @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__synth_0) ).
thf(362,axiom,
! [V_X: $i,V_H: $i,V_G: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_G ) ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_G ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Fake__analz__insert_0) ).
thf(363,axiom,
! [V_X: $i,V_H: $i] : ( c_lessequals @ ( c_Set_Oinsert @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__insert__subset_0) ).
thf(364,axiom,
! [V_X: $i,V_H: $i,V_G: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ V_G @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ V_G ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_synth__trans_0) ).
thf(365,axiom,
! [V_H: $i] : ( c_lessequals @ ( c_Message_Oanalz @ V_H ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__subset__parts_0) ).
thf(366,axiom,
! [V_X: $i,V_H: $i,V_K: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_K @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__Decrypt_H_0) ).
thf(367,axiom,
! [V_X: $i,V_H: $i,V_G: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ V_G @ ( c_Message_Oanalz @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ V_G ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__trans_0) ).
thf(368,axiom,
! [V_c: $i,V_A: $i,V_G: $i] :
( ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_G @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oanalz @ V_G ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__image__freshK__simps_I61_J_0) ).
thf(369,axiom,
! [V_X: $i,V_H: $i,V_G: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ V_G @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oparts @ V_G ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__trans_0) ).
thf(370,axiom,
! [V_c: $i,V_H: $i,V_G: $i] :
( ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oparts @ V_G ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_in__parts__UnE_0) ).
thf(371,axiom,
! [V_Y: $i,V_H: $i,V_X: $i] :
( ( hBOOL @ ( c_in @ V_Y @ ( c_Event_Oused @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Event_Oused @ V_H ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_MPair__used_1) ).
thf(372,axiom,
! [V_X: $i,V_H: $i,V_Y: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Event_Oused @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Event_Oused @ V_H ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_MPair__used_0) ).
thf(373,axiom,
! [V_xs: $i,T_a: $i,V_x: $i] : ( c_lessequals @ ( c_List_Oset @ V_xs @ T_a ) @ ( c_List_Oset @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__subset__Cons_0) ).
thf(374,axiom,
! [V_x: $i,V_A: $i,T_a: $i,V_B: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ V_x @ V_A @ T_a ) @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ V_x @ V_B @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__subset_2) ).
thf(375,axiom,
! [V_x: $i,V_B: $i,T_a: $i,V_A: $i] :
( ( hBOOL @ ( c_in @ V_x @ V_B @ T_a ) )
| ~ ( c_lessequals @ ( c_Set_Oinsert @ V_x @ V_A @ T_a ) @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__subset_0) ).
thf(376,axiom,
! [V_f: $i,V_x: $i,V_A: $i,T_a: $i,T_b: $i] :
( ( ( c_Set_Oinsert @ ( hAPP @ V_f @ V_x ) @ ( c_Set_Oimage @ V_f @ V_A @ T_a @ T_b ) @ T_b )
= ( c_Set_Oimage @ V_f @ V_A @ T_a @ T_b ) )
| ~ ( hBOOL @ ( c_in @ V_x @ V_A @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__image_0) ).
thf(377,axiom,
! [V_A: $i,V_x: $i,V_B: $i,T_a: $i] :
( ( c_lessequals @ V_A @ ( c_Set_Oinsert @ V_x @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ( hBOOL @ ( c_in @ V_x @ V_A @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insert__iff_2) ).
thf(378,axiom,
! [V_A: $i,V_B: $i,T_a: $i,V_x: $i] :
( ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ( hBOOL @ ( c_in @ V_x @ V_A @ T_a ) )
| ~ ( c_lessequals @ V_A @ ( c_Set_Oinsert @ V_x @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insert__iff_1) ).
thf(379,axiom,
! [V_A: $i,V_x: $i,V_B: $i,T_a: $i] :
( ( c_lessequals @ V_A @ ( c_Set_Oinsert @ V_x @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ( hBOOL @ ( c_in @ V_x @ V_A @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insert_1) ).
thf(380,axiom,
! [V_A: $i,V_B: $i,T_a: $i,V_x: $i] :
( ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ ( c_Set_Oinsert @ V_x @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) )
| ( hBOOL @ ( c_in @ V_x @ V_A @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__insert_0) ).
thf(381,axiom,
! [V_b: $i,V_x: $i,V_AA: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_x ) ) @ ( c_Set_Oimage @ c_Public_OshrK @ V_AA @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_privateKey__notin__image__shrK_0) ).
thf(382,axiom,
! [V_evs: $i] : ( c_lessequals @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ ( c_Event_Oused @ V_evs ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__knows__Spy__subset__used_0) ).
thf(383,axiom,
! [V_X: $i,V_H: $i,V_G: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ V_G ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ V_X @ V_G @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__insert__subset__Un_0) ).
thf(384,axiom,
! [T_a: $i,V_y: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_lessequals @ V_y @ V_x @ T_a )
| ( c_lessequals @ V_x @ V_y @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_linorder__linear_0) ).
thf(385,axiom,
! [V_X: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ V_X ) @ c_Message_OsymKeys @ tc_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sym__shrK_0) ).
thf(386,axiom,
! [V_G: $i,V_H: $i,V_G_H: $i,V_H_H: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_G_H @ V_H_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oanalz @ V_H ) @ ( c_Message_Oanalz @ V_H_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oanalz @ V_G ) @ ( c_Message_Oanalz @ V_G_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__subset__cong_0) ).
thf(387,axiom,
! [V_f: $i,V_A: $i,V_B: $i,T_b: $i,T_a: $i] :
( ( c_Set_Oimage @ V_f @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_b @ tc_bool ) ) @ T_b @ T_a )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ V_f @ V_A @ T_b @ T_a ) @ ( c_Set_Oimage @ V_f @ V_B @ T_b @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__Un_0) ).
thf(388,axiom,
! [V_a: $i,V_C: $i,T_a: $i,V_D: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ V_a @ V_C @ T_a ) @ ( c_Set_Oinsert @ V_a @ V_D @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_C @ V_D @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__mono_0) ).
thf(389,axiom,
! [V_x: $i,V_A: $i,T_b: $i,V_f: $i,T_a: $i] :
( ~ ( c_lessequals @ V_x @ V_A @ ( tc_fun @ T_b @ tc_bool ) )
| ( c_lessequals @ ( c_Set_Oimage @ V_f @ V_x @ T_b @ T_a ) @ ( c_Set_Oimage @ V_f @ V_A @ T_b @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__image__iff_2) ).
thf(390,axiom,
! [V_f: $i,V_A: $i,T_a: $i,T_b: $i,V_B: $i] :
( ( c_lessequals @ ( c_Set_Oimage @ V_f @ V_A @ T_a @ T_b ) @ ( c_Set_Oimage @ V_f @ V_B @ T_a @ T_b ) @ ( tc_fun @ T_b @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__mono_0) ).
thf(391,axiom,
! [V_Q: $i,V_x: $i,V_P: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_Q @ V_x ) )
| ~ ( c_lessequals @ V_P @ V_Q @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_rev__predicate1D_0) ).
thf(392,axiom,
! [T_a: $i,V_x: $i] :
( ~ ( class_Orderings_Opreorder @ T_a )
| ( c_lessequals @ V_x @ V_x @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__eq__refl_0) ).
thf(393,axiom,
! [T_a: $i,V_x: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( c_lessequals @ V_x @ V_x @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__eq__iff_0) ).
thf(394,axiom,
! [V_Q: $i,V_x: $i,V_P: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_Q @ V_x ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_x ) )
| ~ ( c_lessequals @ V_P @ V_Q @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_predicate1D_0) ).
thf(395,axiom,
! [V_A: $i,V_C: $i,T_a: $i,V_B: $i] :
( ( c_lessequals @ V_A @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_B @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__trans_0) ).
thf(396,axiom,
! [V_A: $i,T_a: $i] : ( c_lessequals @ V_A @ V_A @ ( tc_fun @ T_a @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__refl_0) ).
thf(397,axiom,
! [V_x: $i,T_a: $i] : ( c_lessequals @ V_x @ V_x @ ( tc_fun @ T_a @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equalityE_0) ).
thf(398,axiom,
! [T_a: $i,V_x: $i,V_z: $i,V_y: $i] :
( ~ ( class_Orderings_Opreorder @ T_a )
| ( c_lessequals @ V_x @ V_z @ T_a )
| ~ ( c_lessequals @ V_y @ V_z @ T_a )
| ~ ( c_lessequals @ V_x @ V_y @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_order__trans_0) ).
thf(399,axiom,
! [T_a: $i,V_z: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( c_lessequals @ V_z @ V_x @ T_a )
| ~ ( c_lessequals @ V_z @ V_y @ T_a )
| ~ ( c_lessequals @ V_y @ V_x @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_xt1_I6_J_0) ).
thf(400,axiom,
! [V_B: $i,V_C: $i,T_a: $i,V_A: $i] :
( ( c_lessequals @ V_B @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ V_C @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__subset__iff_1) ).
thf(401,axiom,
! [V_A: $i,V_C: $i,T_a: $i,V_B: $i] :
( ( c_lessequals @ V_A @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ V_C @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__subset__iff_0) ).
thf(402,axiom,
! [T_a: $i,V_a: $i,V_x: $i,V_b: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( c_lessequals @ V_a @ V_x @ T_a )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_a @ V_b @ T_a ) @ V_x @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__supE_0) ).
thf(403,axiom,
! [T_a: $i,V_b: $i,V_x: $i,V_a: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( c_lessequals @ V_b @ V_x @ T_a )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_a @ V_b @ T_a ) @ V_x @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__supE_1) ).
thf(404,axiom,
! [T_a: $i,V_x: $i,V_a: $i,V_b: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( c_lessequals @ V_x @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_a @ V_b @ T_a ) @ T_a )
| ~ ( c_lessequals @ V_x @ V_a @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__supI1_0) ).
thf(405,axiom,
! [T_a: $i,V_x: $i,V_a: $i,V_b: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( c_lessequals @ V_x @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_a @ V_b @ T_a ) @ T_a )
| ~ ( c_lessequals @ V_x @ V_b @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__supI2_0) ).
thf(406,axiom,
! [T_a: $i,V_x: $i,V_z: $i,V_y: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( c_lessequals @ V_x @ V_z @ T_a )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a ) @ V_z @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__sup__iff_0) ).
thf(407,axiom,
! [T_a: $i,V_y: $i,V_z: $i,V_x: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( c_lessequals @ V_y @ V_z @ T_a )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a ) @ V_z @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__sup__iff_1) ).
thf(408,axiom,
! [V_b: $i,V_A: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_A ) ) @ c_Message_OsymKeys @ tc_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__symKeys__priK_0) ).
thf(409,axiom,
! [T_a: $i,V_x: $i] :
( ~ ( class_Orderings_Otop @ T_a )
| ( c_lessequals @ V_x @ ( c_Orderings_Otop__class_Otop @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_top__greatest_0) ).
thf(410,axiom,
! [V_A: $i,T_a: $i] : ( c_lessequals @ V_A @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__UNIV_0) ).
thf(411,axiom,
! [V_A: $i,V_B: $i,T_a: $i,V_C: $i,V_D: $i] :
( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_C @ V_D @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_B @ V_D @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_C @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__mono_0) ).
thf(412,axiom,
! [V_f: $i,V_a: $i,V_B: $i,T_b: $i,T_a: $i] :
( ( c_Set_Oimage @ V_f @ ( c_Set_Oinsert @ V_a @ V_B @ T_b ) @ T_b @ T_a )
= ( c_Set_Oinsert @ ( hAPP @ V_f @ V_a ) @ ( c_Set_Oimage @ V_f @ V_B @ T_b @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__insert_0) ).
thf(413,axiom,
! [V_f: $i,V_A: $i,T_b: $i,T_a: $i,V_B: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ V_f @ V_A @ T_b @ T_a ) @ ( c_Set_Oimage @ V_f @ V_B @ T_b @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_Set_Oimage @ V_f @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_b @ tc_bool ) ) @ T_b @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__image__freshK__simps_I57_J_0) ).
thf(414,axiom,
! [V_K: $i,V_evs: $i] :
( ~ ( hBOOL @ ( c_in @ V_K @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ V_K @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_new__keys__not__used_0) ).
thf(415,axiom,
! [V_K: $i,V_H: $i,V_G: $i,V_X: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ V_K ) ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ V_K @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_K @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ V_G @ tc_Message_Omsg ) ) ) @ tc_nat ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_keysFor__parts__insert_0) ).
thf(416,axiom,
! [V_X: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Fake__parts__sing_0) ).
thf(417,axiom,
! [V_A: $i,V_X: $i,V_evs: $i] :
( ( c_Event_Oused @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Event_Oused @ V_evs ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_used__Notes_0) ).
thf(418,axiom,
! [V_A: $i,V_B: $i,V_X: $i,V_evs: $i] :
( ( c_Event_Oused @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Event_Oused @ V_evs ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_used__Says_0) ).
thf(419,axiom,
! [V_c: $i,V_H: $i,V_X: $i] :
( ( hBOOL @ ( c_in @ V_c @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Fake__parts__sing__imp__Un_0) ).
thf(420,axiom,
! [V_x: $i,V_A: $i,V_AS: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ V_x ) @ V_A ) ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ V_x ) @ V_AS @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ V_A @ V_AS @ tc_Message_Oagent ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_privateKey__image__eq_2) ).
thf(421,axiom,
! [V_A: $i,V_AS: $i,V_b: $i,V_c: $i] :
( ( hBOOL @ ( c_in @ V_A @ V_AS @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_A ) ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ V_c ) @ V_AS @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_privateKey__image__eq_1) ).
thf(422,axiom,
! [V_x: $i,V_b: $i,V_AA: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ V_x ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ V_b ) @ V_AA @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_shrK__notin__image__privateKey_0) ).
thf(423,axiom,
! [V_X: $i,V_evs: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__insert__spies_0) ).
thf(424,axiom,
! [V_X: $i,V_evs: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Event_Oused @ V_evs ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_used__parts__subset__parts_0) ).
thf(425,axiom,
! [V_K: $i,V_nE: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_nE @ tc_nat @ tc_Message_Omsg ) @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_K @ V_nE @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ V_K @ V_nE @ tc_nat ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__image__freshK__lemma_2) ).
thf(426,axiom,
! [V_K: $i,V_nE: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_nE @ tc_nat @ tc_Message_Omsg ) @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_K @ V_nE @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_nE @ tc_nat @ tc_Message_Omsg ) @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__image__freshK__lemma_0) ).
thf(427,axiom,
! [V_K: $i,V_nE: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_nE @ tc_nat @ tc_Message_Omsg ) @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_K @ V_nE @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__image__freshK__lemma_4) ).
thf(428,axiom,
! [V_K: $i,V_nE: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_nE @ tc_nat @ tc_Message_Omsg ) @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_K @ V_nE @ tc_nat ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__image__freshK__lemma_3) ).
thf(429,axiom,
! [V_A: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ V_A ) ) @ c_Message_OsymKeys @ tc_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_symKey__neq__priEK_0) ).
thf(430,axiom,
! [V_A: $i,V_B: $i] :
( ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ V_A ) )
!= ( hAPP @ c_Public_OshrK @ V_B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_priEK__noteq__shrK_0) ).
thf(431,axiom,
! [V_X: $i,V_Y: $i,V_H: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ ( c_Set_Oinsert @ V_Y @ V_H @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_Y @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__insert2_0) ).
thf(432,axiom,
! [V_X: $i,V_H: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__insert_0) ).
thf(433,axiom,
! [V_x: $i,V_A: $i] :
~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ V_x ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_A @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nonce__Key__image__eq_0) ).
thf(434,axiom,
! [V_x: $i,V_A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_x ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_A @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_x @ V_A @ tc_nat ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Key__image__eq_1) ).
thf(435,axiom,
! [V_x: $i,V_A: $i] :
( ( hBOOL @ ( c_in @ V_x @ V_A @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_x ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_A @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Key__image__eq_0) ).
thf(436,axiom,
! [V_K: $i,V_X: $i,V_A: $i] :
~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_A @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__notin__image__Key_0) ).
thf(437,axiom,
( ( c_Message_Oanalz @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__empty_0) ).
thf(438,axiom,
! [V_P: $i,V_x: $i,T_a: $i] :
( ~ ( hBOOL @ ( hAPP @ V_P @ V_x ) )
| ~ ( hBOOL @ ( c_in @ V_x @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bex__empty_0) ).
thf(439,axiom,
! [V_a: $i,T_a: $i] :
~ ( hBOOL @ ( c_in @ V_a @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_emptyE_0) ).
thf(440,axiom,
! [V_c: $i,T_a: $i] :
~ ( hBOOL @ ( c_in @ V_c @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__iff_0) ).
thf(441,axiom,
! [V_P: $i,V_x: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_x ) )
| ~ ( hBOOL @ ( c_in @ V_x @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ball__empty_0) ).
thf(442,axiom,
! [V_x: $i,T_a: $i] :
~ ( hBOOL @ ( c_in @ V_x @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ex__in__conv_0) ).
thf(443,axiom,
! [T_a: $i,V_f: $i,T_b: $i] :
( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_Set_Oimage @ V_f @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_b @ tc_bool ) ) @ T_b @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__is__image_1) ).
thf(444,axiom,
! [V_a: $i,V_A: $i,T_a: $i] :
( ( c_Set_Oinsert @ V_a @ V_A @ T_a )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oinsert @ V_a @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__is__Un_0) ).
thf(445,axiom,
! [T_a: $i,V_A: $i,V_B: $i] :
( ~ ( class_Lattices_Obounded__lattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ T_a )
!= ( c_Orderings_Obot__class_Obot @ T_a ) )
| ( V_B
= ( c_Orderings_Obot__class_Obot @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__eq__bot__eq2_0) ).
thf(446,axiom,
! [T_a: $i,V_A: $i,V_B: $i] :
( ~ ( class_Lattices_Obounded__lattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ T_a )
!= ( c_Orderings_Obot__class_Obot @ T_a ) )
| ( V_A
= ( c_Orderings_Obot__class_Obot @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__eq__bot__eq1_0) ).
thf(447,axiom,
! [V_A: $i,V_B: $i,T_a: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) )
| ( V_A
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__empty_0) ).
thf(448,axiom,
! [V_A: $i,V_B: $i,T_a: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) )
| ( V_B
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__empty_1) ).
thf(449,axiom,
( ( c_Message_Oparts @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__empty_0) ).
thf(450,axiom,
! [V_a: $i,T_a: $i,V_b: $i] :
( ( ( c_Set_Oinsert @ V_a @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a )
!= ( c_Set_Oinsert @ V_b @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) )
| ( V_a = V_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_singleton__inject_0) ).
thf(451,axiom,
! [V_x: $i,V_A: $i] :
( ( hBOOL @ ( c_in @ V_x @ V_A @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ V_x ) @ ( c_Set_Oimage @ c_Message_OinvKey @ V_A @ tc_nat @ tc_nat ) @ tc_nat ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_invKey__image__eq_0) ).
thf(452,axiom,
! [V_x: $i,V_A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ V_x ) @ ( c_Set_Oimage @ c_Message_OinvKey @ V_A @ tc_nat @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ V_x @ V_A @ tc_nat ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_invKey__image__eq_1) ).
thf(453,axiom,
! [V_f: $i,T_b: $i,T_a: $i] :
( ( c_Set_Oimage @ V_f @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_b @ tc_bool ) ) @ T_b @ T_a )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__empty_0) ).
thf(454,axiom,
! [V_xa: $i,V_x: $i,T_a: $i] :
( ( c_Set_Oinsert @ V_xa @ ( c_Set_Oinsert @ V_x @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) @ T_a )
= ( c_Set_Oinsert @ V_x @ ( c_Set_Oinsert @ V_xa @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_doubleton__eq__iff_4) ).
thf(455,axiom,
! [T_b: $i] :
( ~ ( class_Orderings_Obot @ T_b )
| ( ( hAPP @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ t_a @ T_b ) ) @ v_x )
= ( c_Orderings_Obot__class_Obot @ T_b ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bot__fun__eq_0) ).
thf(456,axiom,
! [T_a: $i,V_f: $i,V_A: $i,T_b: $i] :
( ( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) )
!= ( c_Set_Oimage @ V_f @ V_A @ T_b @ T_a ) )
| ( V_A
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_b @ tc_bool ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__is__image_0) ).
thf(457,axiom,
! [T_a: $i,V_A: $i] : ( c_lessequals @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ V_A @ ( tc_fun @ T_a @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__subsetI_0) ).
thf(458,axiom,
! [T_a: $i,V_x: $i] :
( ~ ( class_Orderings_Obot @ T_a )
| ( c_lessequals @ ( c_Orderings_Obot__class_Obot @ T_a ) @ V_x @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bot__least_0) ).
thf(459,axiom,
! [V_a: $i,V_A: $i,T_a: $i] :
( ( c_Set_Oinsert @ V_a @ V_A @ T_a )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__not__empty_0) ).
thf(460,axiom,
! [T_a: $i,V_x: $i] :
( ~ ( class_Lattices_Obounded__lattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ ( c_Orderings_Obot__class_Obot @ T_a ) @ T_a )
= V_x ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__bot__right_0) ).
thf(461,axiom,
! [T_a: $i,V_x: $i] :
( ~ ( class_Lattices_Obounded__lattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Obot__class_Obot @ T_a ) @ V_x @ T_a )
= V_x ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__bot__left_0) ).
thf(462,axiom,
! [T_a: $i,V_B: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
= V_B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__empty__left_0) ).
thf(463,axiom,
! [V_A: $i,T_a: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) )
= V_A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__empty__right_0) ).
thf(464,axiom,
! [T_a: $i,V_x: $i] :
~ ( hBOOL @ ( hAPP @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ V_x ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bot1E_0) ).
thf(465,axiom,
! [T_a: $i] :
( ( c_Orderings_Otop__class_Otop @ ( tc_fun @ T_a @ tc_bool ) )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_UNIV__not__empty_0) ).
thf(466,axiom,
( ( c_Event_OinitState @ c_Message_Oagent_OSpy )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ c_Event_Obad @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ c_Public_Okeymode_OSignature ) @ c_Event_Obad @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ c_Public_OshrK @ c_Event_Obad @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ c_Public_Okeymode_OSignature ) @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_initState__Spy_0) ).
thf(467,axiom,
( ( c_Event_OinitState @ c_Message_Oagent_OServer )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ c_Message_Oagent_OServer ) ) ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ c_Public_Okeymode_OSignature ) @ c_Message_Oagent_OServer ) ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ c_Public_Okeymode_OSignature ) @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_initState__Server_0) ).
thf(468,axiom,
! [V_a: $i,V_b: $i,T_a: $i,V_c: $i,V_d: $i] :
( ( ( c_Set_Oinsert @ V_a @ ( c_Set_Oinsert @ V_b @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) @ T_a )
!= ( c_Set_Oinsert @ V_c @ ( c_Set_Oinsert @ V_d @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) @ T_a ) )
| ( V_a = V_d )
| ( V_a = V_c ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_doubleton__eq__iff_0) ).
thf(469,axiom,
! [V_a: $i,V_b: $i,T_a: $i,V_c: $i,V_d: $i] :
( ( ( c_Set_Oinsert @ V_a @ ( c_Set_Oinsert @ V_b @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) @ T_a )
!= ( c_Set_Oinsert @ V_c @ ( c_Set_Oinsert @ V_d @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) @ T_a ) )
| ( V_b = V_c )
| ( V_a = V_c ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_doubleton__eq__iff_1) ).
thf(470,axiom,
! [V_a: $i,V_b: $i,T_a: $i,V_c: $i,V_d: $i] :
( ( ( c_Set_Oinsert @ V_a @ ( c_Set_Oinsert @ V_b @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) @ T_a )
!= ( c_Set_Oinsert @ V_c @ ( c_Set_Oinsert @ V_d @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) @ T_a ) )
| ( V_a = V_d )
| ( V_b = V_d ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_doubleton__eq__iff_2) ).
thf(471,axiom,
! [V_a: $i,V_b: $i,T_a: $i,V_c: $i,V_d: $i] :
( ( ( c_Set_Oinsert @ V_a @ ( c_Set_Oinsert @ V_b @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) @ T_a )
!= ( c_Set_Oinsert @ V_c @ ( c_Set_Oinsert @ V_d @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) @ T_a ) )
| ( V_b = V_c )
| ( V_b = V_d ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_doubleton__eq__iff_3) ).
thf(472,axiom,
! [V_A: $i,T_a: $i] :
( ( V_A
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) )
| ~ ( c_lessequals @ V_A @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__empty_0) ).
thf(473,axiom,
! [T_a: $i] : ( c_lessequals @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__empty_1) ).
thf(474,axiom,
! [T_a: $i,V_a: $i,V_A: $i] :
( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) )
!= ( c_Set_Oinsert @ V_a @ V_A @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_empty__not__insert_0) ).
thf(475,axiom,
! [V_f: $i,V_A: $i,T_b: $i,T_a: $i] :
( ( ( c_Set_Oimage @ V_f @ V_A @ T_b @ T_a )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) )
| ( V_A
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_b @ tc_bool ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_image__is__empty_0) ).
thf(476,axiom,
! [V_A: $i,V_x: $i,T_a: $i] :
( ( V_A
= ( c_Set_Oinsert @ V_x @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) )
| ( V_A
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) )
| ~ ( c_lessequals @ V_A @ ( c_Set_Oinsert @ V_x @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__singletonD_0) ).
thf(477,axiom,
! [T_a: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Un__empty_2) ).
thf(478,axiom,
! [V_x: $i,V_xa: $i,T_a: $i] :
( ( ( c_Set_Oinsert @ V_x @ V_xa @ T_a )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) )
| ( hBOOL @ ( c_in @ V_x @ V_xa @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_comm__monoid__add_Ononempty__iff_2) ).
thf(479,axiom,
! [V_b: $i,V_a: $i,T_a: $i] :
( ( V_b = V_a )
| ~ ( hBOOL @ ( c_in @ V_b @ ( c_Set_Oinsert @ V_a @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_singletonE_0) ).
thf(480,axiom,
! [V_x: $i,T_a: $i] : ( hBOOL @ ( c_in @ V_x @ ( c_Set_Oinsert @ V_x @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_singleton__iff_1) ).
thf(481,axiom,
( ( hAPP @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ t_a @ tc_bool ) ) @ v_x )
= ( c_in @ v_x @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ t_a @ tc_bool ) ) @ t_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bot__empty__eq_0) ).
thf(482,axiom,
! [V_X: $i] :
~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oparts @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__emptyE_0) ).
thf(483,axiom,
! [V_X: $i,V_Y: $i,V_H: $i] :
( ( c_Message_OkeysFor @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ V_H @ tc_Message_Omsg ) )
= ( c_Message_OkeysFor @ V_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_keysFor__insert__MPair_0) ).
thf(484,axiom,
! [V_N: $i] :
( ( c_Message_Oparts @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_N @ tc_nat @ tc_Message_Omsg ) )
= ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_N @ tc_nat @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__image__Key_0) ).
thf(485,axiom,
! [V_N: $i] :
( ( c_Message_Oanalz @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_N @ tc_nat @ tc_Message_Omsg ) )
= ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_N @ tc_nat @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__image__Key_0) ).
thf(486,axiom,
! [V_K: $i,V_H: $i] :
( ( c_Message_OkeysFor @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_H @ tc_Message_Omsg ) )
= ( c_Message_OkeysFor @ V_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_keysFor__insert__Key_0) ).
thf(487,axiom,
! [V_A: $i,V_H: $i] :
( ( c_Message_OkeysFor @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ V_A ) @ V_H @ tc_Message_Omsg ) )
= ( c_Message_OkeysFor @ V_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_keysFor__insert__Agent_0) ).
thf(488,axiom,
! [V_N: $i,V_H: $i] :
( ( c_Message_OkeysFor @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ V_N ) @ V_H @ tc_Message_Omsg ) )
= ( c_Message_OkeysFor @ V_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_keysFor__insert__Nonce_0) ).
thf(489,axiom,
! [V_K: $i,V_KK: $i,V_evs: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_KK @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ V_KK @ ( c_HOL_Ouminus__class_Ouminus @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ ( tc_fun @ tc_nat @ tc_bool ) ) @ ( tc_fun @ tc_nat @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__image__freshK_2) ).
thf(490,axiom,
! [V_K: $i,V_nE: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_nE @ tc_nat @ tc_Message_Omsg ) @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__image__freshK__lemma_5) ).
thf(491,axiom,
! [V_K: $i,V_nE: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_nE @ tc_nat @ tc_Message_Omsg ) @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_nE @ tc_nat @ tc_Message_Omsg ) @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__image__freshK__lemma_1) ).
thf(492,axiom,
! [V_K: $i,V_H: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ V_K @ ( c_Message_OkeysFor @ ( c_Message_Oanalz @ V_H ) ) @ tc_nat ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert__Key_0) ).
thf(493,axiom,
! [V_K: $i,V_H: $i,V_X: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ V_K ) @ ( c_Message_OkeysFor @ V_H ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__imp__invKey__keysFor_0) ).
thf(494,axiom,
! [V_X: $i,V_A: $i,V_evs: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ ( c_Event_Oknows @ V_A @ V_evs ) @ tc_Message_Omsg ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ V_A @ V_evs ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__insert__knows__A_0) ).
thf(495,axiom,
! [V_K: $i,V_H: $i,V_X: $i] :
( ( hBOOL @ ( c_in @ V_K @ ( c_Message_OkeysFor @ V_H ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ V_K @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__imp__keysFor_0) ).
thf(496,axiom,
! [V_K: $i,V_evs: $i,V_KK: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ V_K @ V_KK @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_KK @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ V_KK @ ( c_HOL_Ouminus__class_Ouminus @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ ( tc_fun @ tc_nat @ tc_bool ) ) @ ( tc_fun @ tc_nat @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__image__freshK_0) ).
thf(497,axiom,
! [V_K: $i,V_KK: $i,V_evs: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_KK @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_K @ V_KK @ tc_nat ) )
| ~ ( c_lessequals @ V_KK @ ( c_HOL_Ouminus__class_Ouminus @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ ( tc_fun @ tc_nat @ tc_bool ) ) @ ( tc_fun @ tc_nat @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__image__freshK_1) ).
thf(498,axiom,
! [V_b: $i,V_c: $i,V_A: $i,V_AS: $i] :
( ( V_b = V_c )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_A ) ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ V_c ) @ V_AS @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_privateKey__image__eq_0) ).
thf(499,axiom,
! [V_b: $i,V_A: $i,V_c: $i,V_AS: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_A ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ V_c ) @ V_AS @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_publicKey__notin__image__privateKey_0) ).
thf(500,axiom,
! [V_X: $i,V_A: $i,V_evs: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Event_OinitState @ V_A ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_OGets @ V_A @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ ( c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1 @ V_A @ V_X @ V_evs ) @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( V_A = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Event_Oknows @ V_A @ V_evs ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__imp__Says__Gets__Notes__initState_0) ).
thf(501,axiom,
! [V_b: $i,V_A: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_A ) ) ) @ ( c_Event_OinitState @ V_A ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_priK__in__initState_0) ).
thf(502,axiom,
! [V_A: $i,T_a: $i] :
( ( V_A
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) )
| ~ ( c_lessequals @ V_A @ ( c_HOL_Ouminus__class_Ouminus @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__Compl__self__eq_0) ).
thf(503,axiom,
! [T_a: $i] :
( ( c_HOL_Ouminus__class_Ouminus @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_Orderings_Otop__class_Otop @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Compl__empty__eq_0) ).
thf(504,axiom,
! [T_a: $i] :
( ~ ( class_Lattices_Oboolean__algebra @ T_a )
| ( ( c_HOL_Ouminus__class_Ouminus @ ( c_Orderings_Obot__class_Obot @ T_a ) @ T_a )
= ( c_Orderings_Otop__class_Otop @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_compl__bot__eq_0) ).
thf(505,axiom,
! [T_b: $i,V_A: $i] :
( ~ ( class_HOL_Ouminus @ T_b )
| ( ( hAPP @ ( c_HOL_Ouminus__class_Ouminus @ V_A @ ( tc_fun @ t_a @ T_b ) ) @ v_x )
= ( c_HOL_Ouminus__class_Ouminus @ ( hAPP @ V_A @ v_x ) @ T_b ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fun__Compl__def_0) ).
thf(506,axiom,
! [V_A: $i,T_a: $i,V_B: $i] :
( ( ( c_HOL_Ouminus__class_Ouminus @ V_A @ ( tc_fun @ T_a @ tc_bool ) )
!= ( c_HOL_Ouminus__class_Ouminus @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) )
| ( V_A = V_B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Compl__eq__Compl__iff_0) ).
thf(507,axiom,
! [T_a: $i,V_a: $i,V_b: $i] :
( ~ ( class_OrderedGroup_Ogroup__add @ T_a )
| ( ( c_HOL_Ouminus__class_Ouminus @ V_a @ T_a )
!= ( c_HOL_Ouminus__class_Ouminus @ V_b @ T_a ) )
| ( V_a = V_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_neg__equal__iff__equal_0) ).
thf(508,axiom,
! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Lattices_Oboolean__algebra @ T_a )
| ( ( c_HOL_Ouminus__class_Ouminus @ V_x @ T_a )
!= ( c_HOL_Ouminus__class_Ouminus @ V_y @ T_a ) )
| ( V_x = V_y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_compl__eq__compl__iff_0) ).
thf(509,axiom,
! [T_a: $i] :
( ( c_HOL_Ouminus__class_Ouminus @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Compl__UNIV__eq_0) ).
thf(510,axiom,
! [T_a: $i] :
( ~ ( class_Lattices_Oboolean__algebra @ T_a )
| ( ( c_HOL_Ouminus__class_Ouminus @ ( c_Orderings_Otop__class_Otop @ T_a ) @ T_a )
= ( c_Orderings_Obot__class_Obot @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_compl__top__eq_0) ).
thf(511,axiom,
c_Public_Okeymode_OEncryption != c_Public_Okeymode_OSignature,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_keymode_Osimps_I2_J_0) ).
thf(512,axiom,
! [T_a: $i] : ( c_lessequals @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ ( c_HOL_Ouminus__class_Ouminus @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__Compl__self__eq_1) ).
thf(513,axiom,
! [V_A: $i,V_evs: $i] : ( c_lessequals @ ( c_Event_OinitState @ V_A ) @ ( c_Event_Oknows @ V_A @ V_evs ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_initState__subset__knows_0) ).
thf(514,axiom,
! [V_A: $i,T_a: $i,V_B: $i] :
( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) @ ( c_HOL_Ouminus__class_Ouminus @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_B @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Compl__subset__Compl__iff_1) ).
thf(515,axiom,
! [V_B: $i,V_A: $i,T_a: $i] :
( ( c_lessequals @ V_B @ V_A @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) @ ( c_HOL_Ouminus__class_Ouminus @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Compl__subset__Compl__iff_0) ).
thf(516,axiom,
! [V_B: $i,T_a: $i,V_A: $i] :
( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ ( c_HOL_Ouminus__class_Ouminus @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Compl__anti__mono_0) ).
thf(517,axiom,
! [T_a: $i,V_b: $i,V_a: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ T_a )
| ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ V_b @ T_a ) @ ( c_HOL_Ouminus__class_Ouminus @ V_a @ T_a ) @ T_a )
| ~ ( c_lessequals @ V_a @ V_b @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__imp__neg__le_0) ).
thf(518,axiom,
! [T_a: $i,V_a: $i,V_b: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ T_a )
| ( c_lessequals @ V_a @ V_b @ T_a )
| ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ V_b @ T_a ) @ ( c_HOL_Ouminus__class_Ouminus @ V_a @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_neg__le__iff__le_0) ).
thf(519,axiom,
! [V_P: $i,V_keymode: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_keymode ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ c_Public_Okeymode_OEncryption ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ c_Public_Okeymode_OSignature ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_keymode_Oinduct_0) ).
thf(520,axiom,
! [V_i: $i] :
( ( c_Event_OinitState @ ( c_Message_Oagent_OFriend @ V_i ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ ( c_Message_Oagent_OFriend @ V_i ) ) ) ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ c_Public_Okeymode_OSignature ) @ ( c_Message_Oagent_OFriend @ V_i ) ) ) ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ ( c_Message_Oagent_OFriend @ V_i ) ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ c_Public_Okeymode_OSignature ) @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_initState__Friend_0) ).
thf(521,axiom,
c_Public_Okeymode_OSignature != c_Public_Okeymode_OEncryption,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_keymode_Osimps_I1_J_0) ).
thf(522,axiom,
! [V_A: $i,T_a: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_HOL_Ouminus__class_Ouminus @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) @ V_A @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_Orderings_Otop__class_Otop @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Compl__partition2_0) ).
thf(523,axiom,
! [V_A: $i,T_a: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ ( c_HOL_Ouminus__class_Ouminus @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_Orderings_Otop__class_Otop @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Compl__partition_0) ).
thf(524,axiom,
! [T_a: $i,V_x: $i] :
( ~ ( class_Lattices_Oboolean__algebra @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_HOL_Ouminus__class_Ouminus @ V_x @ T_a ) @ V_x @ T_a )
= ( c_Orderings_Otop__class_Otop @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_compl__sup__top_0) ).
thf(525,axiom,
! [T_a: $i,V_x: $i] :
( ~ ( class_Lattices_Oboolean__algebra @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ ( c_HOL_Ouminus__class_Ouminus @ V_x @ T_a ) @ T_a )
= ( c_Orderings_Otop__class_Otop @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sup__compl__top_0) ).
thf(526,axiom,
! [V_G: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_OkeysFor @ V_G ) @ ( c_Message_OkeysFor @ V_H ) @ ( tc_fun @ tc_nat @ tc_bool ) )
| ~ ( c_lessequals @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_keysFor__mono_0) ).
thf(527,axiom,
! [V_A: $i,T_a: $i] :
( ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) )
= V_A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_double__complement_0) ).
thf(528,axiom,
! [T_a: $i,V_a: $i] :
( ~ ( class_OrderedGroup_Ogroup__add @ T_a )
| ( ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ V_a @ T_a ) @ T_a )
= V_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__minus_0) ).
thf(529,axiom,
! [T_a: $i,V_x: $i] :
( ~ ( class_Lattices_Oboolean__algebra @ T_a )
| ( ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ V_x @ T_a ) @ T_a )
= V_x ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_double__compl_0) ).
thf(530,axiom,
! [T_a: $i,V_b: $i] :
( ~ ( class_OrderedGroup_Ogroup__add @ T_a )
| ( V_b
= ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ V_b @ T_a ) @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equation__minus__iff_0) ).
thf(531,axiom,
! [T_a: $i,V_a: $i] :
( ~ ( class_OrderedGroup_Ogroup__add @ T_a )
| ( V_a
= ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ V_a @ T_a ) @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_equation__minus__iff_1) ).
thf(532,axiom,
! [T_a: $i,V_b: $i] :
( ~ ( class_OrderedGroup_Ogroup__add @ T_a )
| ( ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ V_b @ T_a ) @ T_a )
= V_b ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__equation__iff_1) ).
thf(533,axiom,
! [T_a: $i,V_b: $i,V_a: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ T_a )
| ( c_lessequals @ V_b @ ( c_HOL_Ouminus__class_Ouminus @ V_a @ T_a ) @ T_a )
| ~ ( c_lessequals @ V_a @ ( c_HOL_Ouminus__class_Ouminus @ V_b @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__minus__iff_0) ).
thf(534,axiom,
! [T_a: $i,V_a: $i,V_b: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ T_a )
| ( c_lessequals @ V_a @ ( c_HOL_Ouminus__class_Ouminus @ V_b @ T_a ) @ T_a )
| ~ ( c_lessequals @ V_b @ ( c_HOL_Ouminus__class_Ouminus @ V_a @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_le__minus__iff_1) ).
thf(535,axiom,
! [T_a: $i,V_b: $i,V_a: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ T_a )
| ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ V_b @ T_a ) @ V_a @ T_a )
| ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ V_a @ T_a ) @ V_b @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__le__iff_0) ).
thf(536,axiom,
! [T_a: $i,V_a: $i,V_b: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ T_a )
| ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ V_a @ T_a ) @ V_b @ T_a )
| ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ V_b @ T_a ) @ V_a @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_minus__le__iff_1) ).
thf(537,axiom,
! [V_c: $i,V_A: $i,T_a: $i] :
( ( hBOOL @ ( c_in @ V_c @ ( c_HOL_Ouminus__class_Ouminus @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) )
| ( hBOOL @ ( c_in @ V_c @ V_A @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ComplI_0) ).
thf(538,axiom,
! [V_c: $i,V_A: $i,T_a: $i] :
( ~ ( hBOOL @ ( c_in @ V_c @ V_A @ T_a ) )
| ~ ( hBOOL @ ( c_in @ V_c @ ( c_HOL_Ouminus__class_Ouminus @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ComplD_0) ).
thf(539,axiom,
( ~ ( class_HOL_Ouminus @ t_b )
| ( ( hAPP @ ( c_HOL_Ouminus__class_Ouminus @ v_A @ ( tc_fun @ t_a @ t_b ) ) @ v_x )
= ( c_HOL_Ouminus__class_Ouminus @ ( hAPP @ v_A @ v_x ) @ t_b ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_fun__Compl__def__raw_0) ).
thf(540,axiom,
! [V_K: $i,V_X: $i,V_B: $i] :
~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Oparts @ ( c_Event_OinitState @ V_B ) ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__notin__initState_0) ).
thf(541,axiom,
! [V_N: $i,V_B: $i] :
~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ V_N ) @ ( c_Message_Oparts @ ( c_Event_OinitState @ V_B ) ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nonce__notin__initState_0) ).
thf(542,axiom,
! [V_A: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ V_A ) ) @ ( c_Event_OinitState @ V_A ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_shrK__in__initState_0) ).
thf(543,axiom,
! [V_b: $i,V_A: $i,V_B: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_A ) ) @ ( c_Event_OinitState @ V_B ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_publicKey__in__initState_0) ).
thf(544,axiom,
! [V_X: $i,V_evs: $i,V_B: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oparts @ ( c_Event_OinitState @ V_B ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_initState__into__used_0) ).
thf(545,axiom,
! [V_nat_H: $i] :
( ( c_Message_Oagent_OFriend @ V_nat_H )
!= c_Message_Oagent_OServer ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osimps_I3_J_0) ).
thf(546,axiom,
! [V_nat_H: $i] :
( c_Message_Oagent_OServer
!= ( c_Message_Oagent_OFriend @ V_nat_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osimps_I2_J_0) ).
thf(547,axiom,
! [V_nat: $i] :
( c_Message_Oagent_OSpy
!= ( c_Message_Oagent_OFriend @ V_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osimps_I7_J_0) ).
thf(548,axiom,
! [V_nat: $i] :
( ( c_Message_Oagent_OFriend @ V_nat )
!= c_Message_Oagent_OSpy ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osimps_I6_J_0) ).
thf(549,axiom,
! [V_nat: $i,V_nat_H: $i] :
( ( ( c_Message_Oagent_OFriend @ V_nat )
!= ( c_Message_Oagent_OFriend @ V_nat_H ) )
| ( V_nat = V_nat_H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Oinject_0) ).
thf(550,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(551,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[550]) ).
thf(552,negated_conjecture,
( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ v_x @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) ) ) ) @ ( c_List_Oset @ v_evsf @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ v_A ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Omsg_OAgent @ v_A ) ) ) ) ) ) ) ) @ ( c_List_Oset @ v_evsf @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).
thf(553,negated_conjecture,
hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ v_Ba @ v_X ) @ v_evsf @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
thf(554,negated_conjecture,
! [V_NB: $i] :
~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ V_NB @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) ) ) ) @ ( c_List_Oset @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ v_Ba @ v_X ) @ v_evsf @ tc_Event_Oevent ) @ tc_Event_Oevent ) @ tc_Event_Oevent ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
thf(555,negated_conjecture,
hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ v_A ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Omsg_OAgent @ v_A ) ) ) ) ) ) ) ) @ ( c_List_Oset @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ v_Ba @ v_X ) @ v_evsf @ tc_Event_Oevent ) @ tc_Event_Oevent ) @ tc_Event_Oevent ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
thf(556,negated_conjecture,
hBOOL @ ( c_in @ v_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf ) ) ) @ tc_Message_Omsg ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
thf(557,negated_conjecture,
hBOOL @ ( c_in @ v_evsf @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
thf(558,negated_conjecture,
~ ( hBOOL @ ( c_in @ v_B @ c_Event_Obad @ tc_Message_Oagent ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
thf(559,negated_conjecture,
~ ( hBOOL @ ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
thf(560,plain,
$false = $false,
inference(unfold_def,[status(thm)],[551]) ).
thf(561,plain,
( ( ! [V_X: $i,V_Y: $i,T_a: $i] :
( ( V_X = V_Y )
| ~ ( c_fequal @ V_X @ V_Y @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1]) ).
thf(562,plain,
( ( ! [V_x: $i,T_a: $i] : ( c_fequal @ V_x @ V_x @ T_a ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(563,plain,
( ( class_HOL_Oord @ tc_bool )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(564,plain,
( ( class_HOL_Ouminus @ tc_bool )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(565,plain,
( ( class_Orderings_Obot @ tc_bool )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(566,plain,
( ( class_Orderings_Otop @ tc_bool )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(567,plain,
( ( class_Orderings_Oorder @ tc_bool )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(568,plain,
( ( class_Lattices_Olattice @ tc_bool )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(569,plain,
( ( class_Orderings_Opreorder @ tc_bool )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(570,plain,
( ( class_Lattices_Oboolean__algebra @ tc_bool )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(571,plain,
( ( class_Lattices_Obounded__lattice @ tc_bool )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(572,plain,
( ( class_Lattices_Oupper__semilattice @ tc_bool )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(573,plain,
( ( class_HOL_Oord @ tc_nat )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(574,plain,
( ( class_Orderings_Obot @ tc_nat )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(575,plain,
( ( class_Orderings_Oorder @ tc_nat )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(576,plain,
( ( class_Lattices_Olattice @ tc_nat )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(577,plain,
( ( class_Orderings_Olinorder @ tc_nat )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(578,plain,
( ( class_Orderings_Opreorder @ tc_nat )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(579,plain,
( ( class_Lattices_Oupper__semilattice @ tc_nat )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(580,plain,
( ( ! [T_2: $i,T_1: $i] :
( ( class_HOL_Oord @ ( tc_fun @ T_2 @ T_1 ) )
| ~ ( class_HOL_Oord @ T_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[20]) ).
thf(581,plain,
( ( ! [T_2: $i,T_1: $i] :
( ( class_HOL_Ouminus @ ( tc_fun @ T_2 @ T_1 ) )
| ~ ( class_HOL_Ouminus @ T_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[21]) ).
thf(582,plain,
( ( ! [T_2: $i,T_1: $i] :
( ( class_Orderings_Obot @ ( tc_fun @ T_2 @ T_1 ) )
| ~ ( class_Orderings_Obot @ T_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[22]) ).
thf(583,plain,
( ( ! [T_2: $i,T_1: $i] :
( ( class_Orderings_Otop @ ( tc_fun @ T_2 @ T_1 ) )
| ~ ( class_Orderings_Otop @ T_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[23]) ).
thf(584,plain,
( ( ! [T_2: $i,T_1: $i] :
( ( class_Orderings_Oorder @ ( tc_fun @ T_2 @ T_1 ) )
| ~ ( class_Orderings_Oorder @ T_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[24]) ).
thf(585,plain,
( ( ! [T_2: $i,T_1: $i] :
( ( class_Lattices_Olattice @ ( tc_fun @ T_2 @ T_1 ) )
| ~ ( class_Lattices_Olattice @ T_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[25]) ).
thf(586,plain,
( ( ! [T_2: $i,T_1: $i] :
( ( class_Orderings_Opreorder @ ( tc_fun @ T_2 @ T_1 ) )
| ~ ( class_Orderings_Opreorder @ T_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(587,plain,
( ( ! [T_2: $i,T_1: $i] :
( ( class_Lattices_Oboolean__algebra @ ( tc_fun @ T_2 @ T_1 ) )
| ~ ( class_Lattices_Oboolean__algebra @ T_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(588,plain,
( ( ! [T_2: $i,T_1: $i] :
( ( class_Lattices_Obounded__lattice @ ( tc_fun @ T_2 @ T_1 ) )
| ~ ( class_Lattices_Obounded__lattice @ T_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[28]) ).
thf(589,plain,
( ( ! [T_2: $i,T_1: $i] :
( ( class_Lattices_Oupper__semilattice @ ( tc_fun @ T_2 @ T_1 ) )
| ~ ( class_Lattices_Olattice @ T_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[29]) ).
thf(590,plain,
( ( ! [V_x: $i,V_y: $i] :
( ( ( hAPP @ c_Public_OshrK @ V_x )
!= ( hAPP @ c_Public_OshrK @ V_y ) )
| ( V_x = V_y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[30]) ).
thf(591,plain,
( ( ! [V_nat: $i,V_nat_H: $i,V_msg_H: $i] :
( ( hAPP @ c_Message_Omsg_OKey @ V_nat )
!= ( c_Message_Omsg_OCrypt @ V_nat_H @ V_msg_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(592,plain,
( ( ! [V_agent_H: $i,V_msg_H: $i,V_agent1: $i,V_agent2: $i,V_msg: $i] :
( ( c_Event_Oevent_ONotes @ V_agent_H @ V_msg_H )
!= ( c_Event_Oevent_OSays @ V_agent1 @ V_agent2 @ V_msg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(593,plain,
( ( ! [V_K: $i,V_X: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_H @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(594,plain,
( ( ! [V_msg1_H: $i,V_msg2_H: $i,V_nat: $i] :
( ( c_Message_Omsg_OMPair @ V_msg1_H @ V_msg2_H )
!= ( hAPP @ c_Message_Omsg_OKey @ V_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(595,plain,
( ( ! [V_c: $i,V_evs: $i,V_A: $i,V_B: $i,V_X: $i] :
( ~ ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ V_evs @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[35]) ).
thf(596,plain,
( ( ! [V_xs: $i,V_x: $i,T_a: $i] :
( V_xs
!= ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(597,plain,
( ( ! [V_x: $i,V_t: $i,T_a: $i] :
( ( c_List_Olist_OCons @ V_x @ V_t @ T_a )
!= V_t ) )
= $true ),
inference(unfold_def,[status(thm)],[37]) ).
thf(598,plain,
( ( ~ ( hBOOL @ ( c_in @ c_Message_Oagent_OServer @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(599,plain,
( ( ! [V_X: $i,V_H: $i,V_K: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(600,plain,
( ( ! [V_H: $i] :
( ( c_Message_Osynth @ ( c_Message_Osynth @ V_H ) )
= ( c_Message_Osynth @ V_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[40]) ).
thf(601,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Osynth @ V_H ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[41]) ).
thf(602,plain,
( ( ! [V_K: $i,V_H: $i,V_X: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_H @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(603,plain,
( ( ! [V_K: $i,V_X: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_H @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[43]) ).
thf(604,plain,
( ( ! [V_K: $i,V_X: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_H @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(605,plain,
( ( ! [V_nat: $i,V_msg1_H: $i,V_msg2_H: $i] :
( ( hAPP @ c_Message_Omsg_OKey @ V_nat )
!= ( c_Message_Omsg_OMPair @ V_msg1_H @ V_msg2_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[45]) ).
thf(606,plain,
( ( ! [V_X: $i,V_B: $i,V_K: $i,V_A: $i,V_evs: $i,V_K_H: $i,V_N: $i] :
( ( V_X
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OAgent @ V_A ) ) ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OCrypt @ V_K_H @ ( c_Message_Omsg_OMPair @ V_N @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(607,plain,
( ( ! [V_nat_H: $i,V_msg_H: $i,V_msg1: $i,V_msg2: $i] :
( ( c_Message_Omsg_OCrypt @ V_nat_H @ V_msg_H )
!= ( c_Message_Omsg_OMPair @ V_msg1 @ V_msg2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(608,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ V_H @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(609,plain,
( ( c_Message_Oagent_OSpy != c_Message_Oagent_OServer )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(610,plain,
( ( ! [V_A: $i,V_H: $i] : ( hBOOL @ ( c_in @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(611,plain,
( ( ! [V_agt: $i,V_H: $i] : ( hBOOL @ ( c_in @ ( c_Message_Omsg_OAgent @ V_agt ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(612,plain,
( ( ! [V_X: $i,V_evs: $i,V_A: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ V_X ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(613,plain,
( ( ! [V_msg1: $i,V_msg2: $i,V_msg1_H: $i,V_msg2_H: $i] :
( ( ( c_Message_Omsg_OMPair @ V_msg1 @ V_msg2 )
!= ( c_Message_Omsg_OMPair @ V_msg1_H @ V_msg2_H ) )
| ( V_msg2 = V_msg2_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(614,plain,
( ( ! [V_msg1: $i,V_msg2: $i,V_msg1_H: $i,V_msg2_H: $i] :
( ( ( c_Message_Omsg_OMPair @ V_msg1 @ V_msg2 )
!= ( c_Message_Omsg_OMPair @ V_msg1_H @ V_msg2_H ) )
| ( V_msg1 = V_msg1_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(615,plain,
( ( ! [V_X: $i,V_A: $i,V_evs: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Event_Oknows @ V_A @ V_evs ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(616,plain,
( ( ! [V_A: $i,V_X: $i,V_evs: $i] :
( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) )
| ( hBOOL @ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(617,plain,
( ( ! [V_y: $i,V_xs: $i,T_a: $i,V_x: $i] :
( ( hBOOL @ ( c_in @ V_y @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) )
| ( V_y = V_x )
| ~ ( hBOOL @ ( c_in @ V_y @ ( c_List_Oset @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(618,plain,
( ( ! [V_nat: $i,V_msg: $i,V_nat_H: $i,V_msg_H: $i] :
( ( ( c_Message_Omsg_OCrypt @ V_nat @ V_msg )
!= ( c_Message_Omsg_OCrypt @ V_nat_H @ V_msg_H ) )
| ( V_msg = V_msg_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(619,plain,
( ( ! [V_nat: $i,V_msg: $i,V_nat_H: $i,V_msg_H: $i] :
( ( ( c_Message_Omsg_OCrypt @ V_nat @ V_msg )
!= ( c_Message_Omsg_OCrypt @ V_nat_H @ V_msg_H ) )
| ( V_nat = V_nat_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[59]) ).
thf(620,plain,
( ( ! [V_S: $i,V_x: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_S @ V_x ) )
| ~ ( hBOOL @ ( c_in @ V_x @ V_S @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[60]) ).
thf(621,plain,
( ( ! [V_x: $i,V_S: $i,T_a: $i] :
( ( hBOOL @ ( c_in @ V_x @ V_S @ T_a ) )
| ~ ( hBOOL @ ( hAPP @ V_S @ V_x ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(622,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(623,plain,
( ( ! [V_A: $i,V_evs: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ V_A ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(624,plain,
( ( ! [V_A: $i,V_evs: $i] :
( ( hBOOL @ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ V_A ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(625,plain,
( ( ! [V_nat_H: $i,V_agent: $i] :
( ( hAPP @ c_Message_Omsg_OKey @ V_nat_H )
!= ( c_Message_Omsg_OAgent @ V_agent ) ) )
= $true ),
inference(unfold_def,[status(thm)],[65]) ).
thf(626,plain,
( ( ! [V_A: $i,V_evs: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ V_A ) ) @ ( c_Event_Oknows @ V_A @ V_evs ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[66]) ).
thf(627,plain,
( ( ! [V_nat_H: $i,V_msg_H: $i,V_agent: $i] :
( ( c_Message_Omsg_OCrypt @ V_nat_H @ V_msg_H )
!= ( c_Message_Omsg_OAgent @ V_agent ) ) )
= $true ),
inference(unfold_def,[status(thm)],[67]) ).
thf(628,plain,
( ( ! [V_msg1: $i,V_msg2: $i,V_nat_H: $i,V_msg_H: $i] :
( ( c_Message_Omsg_OMPair @ V_msg1 @ V_msg2 )
!= ( c_Message_Omsg_OCrypt @ V_nat_H @ V_msg_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[68]) ).
thf(629,plain,
( ( ! [V_agent1: $i,V_agent2: $i,V_msg: $i,V_agent_H: $i,V_msg_H: $i] :
( ( c_Event_Oevent_OSays @ V_agent1 @ V_agent2 @ V_msg )
!= ( c_Event_Oevent_ONotes @ V_agent_H @ V_msg_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[69]) ).
thf(630,plain,
( ( ! [V_agent: $i,V_nat_H: $i,V_msg_H: $i] :
( ( c_Message_Omsg_OAgent @ V_agent )
!= ( c_Message_Omsg_OCrypt @ V_nat_H @ V_msg_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[70]) ).
thf(631,plain,
( ( ! [V_X: $i,V_Y: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_Y @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[71]) ).
thf(632,plain,
( ( ! [V_A: $i,V_evs: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ V_A ) ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[72]) ).
thf(633,plain,
( ( ! [V_agent: $i,V_msg1_H: $i,V_msg2_H: $i] :
( ( c_Message_Omsg_OAgent @ V_agent )
!= ( c_Message_Omsg_OMPair @ V_msg1_H @ V_msg2_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[73]) ).
thf(634,plain,
( ( ! [V_nat: $i,V_nat_H: $i] :
( ( ( hAPP @ c_Message_Omsg_OKey @ V_nat )
!= ( hAPP @ c_Message_Omsg_OKey @ V_nat_H ) )
| ( V_nat = V_nat_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[74]) ).
thf(635,plain,
( ( ! [V_X: $i,V_X_H: $i,V_evs: $i,V_A_H: $i,V_NA_H: $i,V_B_H: $i,V_K: $i,V_A: $i,V_NA: $i,V_B: $i] :
( ( V_X = V_X_H )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A_H @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A_H ) @ ( c_Message_Omsg_OMPair @ V_NA_H @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B_H ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X_H ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[75]) ).
thf(636,plain,
( ( ! [V_B: $i,V_B_H: $i,V_evs: $i,V_A_H: $i,V_NA_H: $i,V_K: $i,V_X_H: $i,V_A: $i,V_NA: $i,V_X: $i] :
( ( V_B = V_B_H )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A_H @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A_H ) @ ( c_Message_Omsg_OMPair @ V_NA_H @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B_H ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X_H ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[76]) ).
thf(637,plain,
( ( ! [V_NA: $i,V_NA_H: $i,V_evs: $i,V_A_H: $i,V_B_H: $i,V_K: $i,V_X_H: $i,V_A: $i,V_B: $i,V_X: $i] :
( ( V_NA = V_NA_H )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A_H @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A_H ) @ ( c_Message_Omsg_OMPair @ V_NA_H @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B_H ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X_H ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[77]) ).
thf(638,plain,
( ( ! [V_A: $i,V_A_H: $i,V_evs: $i,V_NA_H: $i,V_B_H: $i,V_K: $i,V_X_H: $i,V_NA: $i,V_B: $i,V_X: $i] :
( ( V_A = V_A_H )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A_H @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A_H ) @ ( c_Message_Omsg_OMPair @ V_NA_H @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B_H ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X_H ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[78]) ).
thf(639,plain,
( ( ! [V_X: $i,V_H: $i,V_Y: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ V_H @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[79]) ).
thf(640,plain,
( ( ! [V_Y: $i,V_H: $i,V_X: $i] :
( ( hBOOL @ ( c_in @ V_Y @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ V_H @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[80]) ).
thf(641,plain,
( ( ! [V_X: $i,V_evs: $i,V_A: $i,V_B: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[81]) ).
thf(642,plain,
( ( c_Message_Oagent_OServer != c_Message_Oagent_OSpy )
= $true ),
inference(unfold_def,[status(thm)],[82]) ).
thf(643,plain,
( ( ! [V_c: $i,V_evs: $i,V_A: $i,V_X: $i] :
( ~ ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[83]) ).
thf(644,plain,
( ( ! [V_X: $i,V_H: $i,V_A: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ V_A ) ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ V_X ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[84]) ).
thf(645,plain,
( ( ! [V_K: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_H @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[85]) ).
thf(646,plain,
( ( ! [V_K: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_H @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[86]) ).
thf(647,plain,
( ( ! [V_K_H: $i,V_A: $i,V_evs: $i,V_N: $i,V_B: $i,V_K: $i,V_X: $i] :
( ( V_K_H
= ( hAPP @ c_Public_OshrK @ V_A ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OCrypt @ V_K_H @ ( c_Message_Omsg_OMPair @ V_N @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[87]) ).
thf(648,plain,
( ( ! [V_msg1_H: $i,V_msg2_H: $i,V_agent: $i] :
( ( c_Message_Omsg_OMPair @ V_msg1_H @ V_msg2_H )
!= ( c_Message_Omsg_OAgent @ V_agent ) ) )
= $true ),
inference(unfold_def,[status(thm)],[88]) ).
thf(649,plain,
( ( ! [V_X: $i,V_evs: $i,V_A: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[89]) ).
thf(650,plain,
( ( ! [V_nat_H: $i,V_msg_H: $i,V_nat: $i] :
( ( c_Message_Omsg_OCrypt @ V_nat_H @ V_msg_H )
!= ( hAPP @ c_Message_Omsg_OKey @ V_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[90]) ).
thf(651,plain,
( ( ! [V_agent: $i,V_msg: $i,V_agent_H: $i,V_msg_H: $i] :
( ( ( c_Event_Oevent_ONotes @ V_agent @ V_msg )
!= ( c_Event_Oevent_ONotes @ V_agent_H @ V_msg_H ) )
| ( V_msg = V_msg_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[91]) ).
thf(652,plain,
( ( ! [V_agent: $i,V_msg: $i,V_agent_H: $i,V_msg_H: $i] :
( ( ( c_Event_Oevent_ONotes @ V_agent @ V_msg )
!= ( c_Event_Oevent_ONotes @ V_agent_H @ V_msg_H ) )
| ( V_agent = V_agent_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[92]) ).
thf(653,plain,
( ( ! [V_B: $i,V_X: $i,V_evsf: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ V_B @ V_X ) @ V_evsf @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evsf ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_evsf @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[93]) ).
thf(654,plain,
( ( hBOOL @ ( c_in @ c_Message_Oagent_OSpy @ c_Event_Obad @ tc_Message_Oagent ) )
= $true ),
inference(unfold_def,[status(thm)],[94]) ).
thf(655,plain,
( ( ! [V_X: $i,V_evs: $i,V_A: $i,V_B: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[95]) ).
thf(656,plain,
( ( ! [V_X: $i,V_Y: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_Y @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[96]) ).
thf(657,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ V_H @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[97]) ).
thf(658,plain,
( ( ! [V_agent1: $i,V_agent2: $i,V_msg: $i,V_agent1_H: $i,V_agent2_H: $i,V_msg_H: $i] :
( ( ( c_Event_Oevent_OSays @ V_agent1 @ V_agent2 @ V_msg )
!= ( c_Event_Oevent_OSays @ V_agent1_H @ V_agent2_H @ V_msg_H ) )
| ( V_msg = V_msg_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[98]) ).
thf(659,plain,
( ( ! [V_agent1: $i,V_agent2: $i,V_msg: $i,V_agent1_H: $i,V_agent2_H: $i,V_msg_H: $i] :
( ( ( c_Event_Oevent_OSays @ V_agent1 @ V_agent2 @ V_msg )
!= ( c_Event_Oevent_OSays @ V_agent1_H @ V_agent2_H @ V_msg_H ) )
| ( V_agent2 = V_agent2_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[99]) ).
thf(660,plain,
( ( ! [V_agent1: $i,V_agent2: $i,V_msg: $i,V_agent1_H: $i,V_agent2_H: $i,V_msg_H: $i] :
( ( ( c_Event_Oevent_OSays @ V_agent1 @ V_agent2 @ V_msg )
!= ( c_Event_Oevent_OSays @ V_agent1_H @ V_agent2_H @ V_msg_H ) )
| ( V_agent1 = V_agent1_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[100]) ).
thf(661,plain,
( ( ! [V_agent: $i,V_nat_H: $i] :
( ( c_Message_Omsg_OAgent @ V_agent )
!= ( hAPP @ c_Message_Omsg_OKey @ V_nat_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[101]) ).
thf(662,plain,
( ( ! [V_a: $i,V_list: $i,T_a: $i,V_a_H: $i,V_list_H: $i] :
( ( ( c_List_Olist_OCons @ V_a @ V_list @ T_a )
!= ( c_List_Olist_OCons @ V_a_H @ V_list_H @ T_a ) )
| ( V_a = V_a_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[102]) ).
thf(663,plain,
( ( ! [V_a: $i,V_list: $i,T_a: $i,V_a_H: $i,V_list_H: $i] :
( ( ( c_List_Olist_OCons @ V_a @ V_list @ T_a )
!= ( c_List_Olist_OCons @ V_a_H @ V_list_H @ T_a ) )
| ( V_list = V_list_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[103]) ).
thf(664,plain,
( ( ! [V_X: $i,V_H: $i,V_Y: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[104]) ).
thf(665,plain,
( ( ! [V_Y: $i,V_H: $i,V_X: $i] :
( ( hBOOL @ ( c_in @ V_Y @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[105]) ).
thf(666,plain,
( ( ! [V_H: $i] :
( ( c_Message_Oanalz @ ( c_Message_Oanalz @ V_H ) )
= ( c_Message_Oanalz @ V_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[106]) ).
thf(667,plain,
( ( ! [V_X: $i,V_H: $i,V_Y: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[107]) ).
thf(668,plain,
( ( ! [V_Y: $i,V_H: $i,V_X: $i] :
( ( hBOOL @ ( c_in @ V_Y @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[108]) ).
thf(669,plain,
( ( ! [V_X: $i,V_A: $i,V_evs: $i,V_B: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Event_Oknows @ V_A @ V_evs ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[109]) ).
thf(670,plain,
( ( ! [V_agent: $i,V_agent_H: $i] :
( ( ( c_Message_Omsg_OAgent @ V_agent )
!= ( c_Message_Omsg_OAgent @ V_agent_H ) )
| ( V_agent = V_agent_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[110]) ).
thf(671,plain,
( ( ! [V_A: $i,V_NA: $i,V_B: $i,V_K: $i,V_X: $i,V_evs: $i] :
( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[111]) ).
thf(672,plain,
( ( ! [V_NA: $i,V_NB: $i,V_K: $i,V_evso: $i,V_A: $i,V_B: $i,V_X: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NB ) @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) ) ) ) @ V_evso @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evso @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_B @ V_A @ ( c_Message_Omsg_OCrypt @ V_K @ ( c_Message_Omsg_ONonce @ V_NB ) ) ) @ ( c_List_Oset @ V_evso @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ V_evso @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[112]) ).
thf(673,plain,
( ( ! [V_X: $i,V_evs: $i,V_B: $i,V_K: $i,V_A: $i,V_S: $i,V_NA: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ( V_X
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OAgent @ V_A ) ) ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_S @ V_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[113]) ).
thf(674,plain,
( ( ! [V_A: $i,V_B: $i,V_X: $i,V_evs3: $i,V_NA: $i,V_S: $i,V_K: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ V_evs3 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_ONonce @ V_NA ) ) ) ) @ ( c_List_Oset @ V_evs3 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_S @ V_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evs3 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( V_A = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_in @ V_evs3 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[114]) ).
thf(675,plain,
( ( ! [V_X: $i,V_B: $i,V_K: $i,V_A: $i,V_evs: $i,V_NA: $i] :
( ( V_X
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OAgent @ V_A ) ) ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[115]) ).
thf(676,plain,
( ( ! [V_K: $i,V_evs: $i,V_A: $i,V_NA: $i,V_B: $i,V_X: $i] :
( ( hBOOL @ ( c_in @ V_K @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ V_B @ ( c_Message_Omsg_OMPair @ V_K @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[116]) ).
thf(677,plain,
( ( ! [V_A: $i,V_evs: $i] :
( ( hBOOL @ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ V_A ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[117]) ).
thf(678,plain,
( ( ! [V_A: $i,V_evs: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ V_A ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[118]) ).
thf(679,plain,
( ( ! [V_X: $i,V_evs: $i,V_S: $i,V_A: $i,V_KA: $i,V_N: $i,V_B: $i,V_K: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_S @ V_A @ ( c_Message_Omsg_OCrypt @ V_KA @ ( c_Message_Omsg_OMPair @ V_N @ ( c_Message_Omsg_OMPair @ V_B @ ( c_Message_Omsg_OMPair @ V_K @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[119]) ).
thf(680,plain,
( ( ! [V_B: $i,V_X: $i,V_evsf: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ V_B @ V_X ) @ V_evsf @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evsf ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ V_evsf ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[120]) ).
thf(681,plain,
( ( ! [V_A: $i,V_X: $i,V_evs: $i] :
( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ V_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[121]) ).
thf(682,plain,
( ( ! [V_NA: $i,V_NB: $i,V_K: $i,V_evso: $i,V_A: $i,V_B: $i,V_X: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NB ) @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) ) ) ) @ V_evso @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evso @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_B @ V_A @ ( c_Message_Omsg_OCrypt @ V_K @ ( c_Message_Omsg_ONonce @ V_NB ) ) ) @ ( c_List_Oset @ V_evso @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ V_evso ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[122]) ).
thf(683,plain,
( ( ! [V_X: $i,V_evs: $i,V_A: $i,V_B: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[123]) ).
thf(684,plain,
( ( ! [V_A: $i,V_B: $i,V_X: $i,V_evs3: $i,V_NA: $i,V_S: $i,V_K: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ V_evs3 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_ONonce @ V_NA ) ) ) ) @ ( c_List_Oset @ V_evs3 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_S @ V_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evs3 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( V_A = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ V_evs3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[124]) ).
thf(685,plain,
( ( ! [V_X: $i,V_A: $i,V_evs: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Event_Oknows @ V_A @ V_evs ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OGets @ V_A @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( V_A = c_Message_Oagent_OSpy ) ) )
= $true ),
inference(unfold_def,[status(thm)],[125]) ).
thf(686,plain,
( ( ! [V_c: $i,V_evs: $i,V_A: $i,V_X: $i] :
( ~ ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[126]) ).
thf(687,plain,
( ( ! [V_b: $i,V_A: $i,V_evs: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_A ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[127]) ).
thf(688,plain,
( ( ! [V_X: $i,V_H: $i,V_K: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ V_K ) ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[128]) ).
thf(689,plain,
( ( ! [V_K: $i,V_X: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ V_K ) ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[129]) ).
thf(690,plain,
( ( ! [V_c: $i,V_A_H: $i,V_b: $i,V_A: $i] :
( ( hAPP @ ( c_Public_OpublicKey @ V_c ) @ V_A_H )
!= ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_A ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[130]) ).
thf(691,plain,
( ( ! [V_c: $i,V_a: $i,V_G: $i] :
( ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_a @ V_G @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oparts @ V_G ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[131]) ).
thf(692,plain,
( ( ! [V_b: $i,V_C: $i,V_A: $i] :
( ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_C ) )
!= ( hAPP @ c_Public_OshrK @ V_A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[132]) ).
thf(693,plain,
( ( ! [V_K: $i,V_H: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[133]) ).
thf(694,plain,
( ( ! [V_A: $i,V_b: $i,V_C: $i] :
( ( hAPP @ c_Public_OshrK @ V_A )
!= ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_C ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[134]) ).
thf(695,plain,
( ( ! [V_N: $i,V_H: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ V_N ) @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ V_N ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[135]) ).
thf(696,plain,
( ( ! [V_K: $i] :
( ( hAPP @ c_Message_OinvKey @ ( hAPP @ c_Message_OinvKey @ V_K ) )
= V_K ) )
= $true ),
inference(unfold_def,[status(thm)],[136]) ).
thf(697,plain,
( ( ! [V_x: $i,V_A: $i,T_a: $i] : ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ V_x @ V_A @ T_a ) @ V_x ) ) )
= $true ),
inference(unfold_def,[status(thm)],[137]) ).
thf(698,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) )
= ( c_Message_Oparts @ V_H ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[138]) ).
thf(699,plain,
( ( ! [V_H: $i] :
( ( c_Message_Oparts @ ( c_Message_Oparts @ V_H ) )
= ( c_Message_Oparts @ V_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[139]) ).
thf(700,plain,
( ( ! [V_agent: $i,V_msg: $i,V_agent_H: $i,V_msg_H: $i] :
( ( ( c_Event_Oevent_OGets @ V_agent @ V_msg )
!= ( c_Event_Oevent_OGets @ V_agent_H @ V_msg_H ) )
| ( V_agent = V_agent_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[140]) ).
thf(701,plain,
( ( ! [V_agent: $i,V_msg: $i,V_agent_H: $i,V_msg_H: $i] :
( ( ( c_Event_Oevent_OGets @ V_agent @ V_msg )
!= ( c_Event_Oevent_OGets @ V_agent_H @ V_msg_H ) )
| ( V_msg = V_msg_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[141]) ).
thf(702,plain,
( ( ! [V_agt: $i,V_H: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ V_agt ) @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ V_agt ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[142]) ).
thf(703,plain,
( ( ! [V_X: $i,V_Y: $i,V_H: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ ( c_Set_Oinsert @ V_Y @ V_H @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[143]) ).
thf(704,plain,
( ( ! [V_X: $i,V_K: $i,V_N: $i,V_A: $i] :
( ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_X @ V_K ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ V_N ) @ V_A @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ V_N ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_X @ V_K ) @ V_A @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[144]) ).
thf(705,plain,
( ( ! [V_A: $i,V_x: $i,V_y: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_A @ V_x ) )
| ( V_y = V_x )
| ~ ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ V_y @ V_A @ T_a ) @ V_x ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[145]) ).
thf(706,plain,
( ( ! [V_x: $i,V_A: $i,T_a: $i] :
( ( c_Set_Oinsert @ V_x @ ( c_Set_Oinsert @ V_x @ V_A @ T_a ) @ T_a )
= ( c_Set_Oinsert @ V_x @ V_A @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[146]) ).
thf(707,plain,
( ( ! [V_N: $i,V_H: $i] :
( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ V_N ) @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ V_N ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[147]) ).
thf(708,plain,
( ( ! [V_K: $i,V_K_H: $i] :
( ( ( hAPP @ c_Message_OinvKey @ V_K )
!= ( hAPP @ c_Message_OinvKey @ V_K_H ) )
| ( V_K = V_K_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[148]) ).
thf(709,plain,
( ( ! [V_b: $i,V_A: $i,V_c: $i,V_A_H: $i] :
( ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_A ) )
!= ( hAPP @ ( c_Public_OpublicKey @ V_c ) @ V_A_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[149]) ).
thf(710,plain,
( ( ! [V_b: $i,V_A: $i,V_c: $i,V_A_H: $i] :
( ( ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_A )
!= ( hAPP @ ( c_Public_OpublicKey @ V_c ) @ V_A_H ) )
| ( V_A = V_A_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[150]) ).
thf(711,plain,
( ( ! [V_b: $i,V_A: $i,V_c: $i,V_A_H: $i] :
( ( ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_A )
!= ( hAPP @ ( c_Public_OpublicKey @ V_c ) @ V_A_H ) )
| ( V_b = V_c ) ) )
= $true ),
inference(unfold_def,[status(thm)],[151]) ).
thf(712,plain,
( ( ! [V_nat: $i,V_nat_H: $i] :
( ( ( c_Message_Omsg_ONonce @ V_nat )
!= ( c_Message_Omsg_ONonce @ V_nat_H ) )
| ( V_nat = V_nat_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[152]) ).
thf(713,plain,
( ( ! [V_x: $i,V_y: $i,V_A: $i,T_a: $i] :
( ( c_Set_Oinsert @ V_x @ ( c_Set_Oinsert @ V_y @ V_A @ T_a ) @ T_a )
= ( c_Set_Oinsert @ V_y @ ( c_Set_Oinsert @ V_x @ V_A @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[153]) ).
thf(714,plain,
( ( ! [V_K: $i,V_N: $i,V_A: $i] :
( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ V_N ) @ V_A @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ V_N ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_A @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[154]) ).
thf(715,plain,
( ( ! [V_K: $i,V_X: $i,V_H: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[155]) ).
thf(716,plain,
( ( ! [V_y: $i,V_A: $i,T_a: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ V_y @ V_A @ T_a ) @ V_x ) )
| ~ ( hBOOL @ ( hAPP @ V_A @ V_x ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[156]) ).
thf(717,plain,
( ( ! [V_a: $i,V_b: $i,V_A: $i,T_a: $i] :
( ( hBOOL @ ( c_in @ V_a @ ( c_Set_Oinsert @ V_b @ V_A @ T_a ) @ T_a ) )
| ~ ( hBOOL @ ( c_in @ V_a @ V_A @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[157]) ).
thf(718,plain,
( ( ! [V_a: $i,V_b: $i,V_B: $i,T_a: $i] :
( ( hBOOL @ ( c_in @ V_a @ ( c_Set_Oinsert @ V_b @ V_B @ T_a ) @ T_a ) )
| ~ ( hBOOL @ ( c_in @ V_a @ V_B @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[158]) ).
thf(719,plain,
( ( ! [V_a: $i,V_A: $i,T_a: $i,V_b: $i] :
( ( hBOOL @ ( c_in @ V_a @ V_A @ T_a ) )
| ( V_a = V_b )
| ~ ( hBOOL @ ( c_in @ V_a @ ( c_Set_Oinsert @ V_b @ V_A @ T_a ) @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[159]) ).
thf(720,plain,
( ( ! [V_x: $i,V_A: $i,T_a: $i] : ( hBOOL @ ( c_in @ V_x @ ( c_Set_Oinsert @ V_x @ V_A @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[160]) ).
thf(721,plain,
( ( ! [V_a: $i,V_B: $i,T_a: $i] : ( hBOOL @ ( c_in @ V_a @ ( c_Set_Oinsert @ V_a @ V_B @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[161]) ).
thf(722,plain,
( ( ! [V_x: $i,V_B: $i,T_a: $i] : ( hBOOL @ ( c_in @ V_x @ ( c_Set_Oinsert @ V_x @ V_B @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[162]) ).
thf(723,plain,
( ( ! [V_x: $i,V_A: $i,T_a: $i,V_B: $i] :
( ( ( c_Set_Oinsert @ V_x @ V_A @ T_a )
!= ( c_Set_Oinsert @ V_x @ V_B @ T_a ) )
| ( hBOOL @ ( c_in @ V_x @ V_B @ T_a ) )
| ( hBOOL @ ( c_in @ V_x @ V_A @ T_a ) )
| ( V_A = V_B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[163]) ).
thf(724,plain,
( ( ! [V_a: $i,V_A: $i,T_a: $i] :
( ( ( c_Set_Oinsert @ V_a @ V_A @ T_a )
= V_A )
| ~ ( hBOOL @ ( c_in @ V_a @ V_A @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[164]) ).
thf(725,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ V_H @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[165]) ).
thf(726,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oparts @ ( c_Message_Oparts @ V_H ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[166]) ).
thf(727,plain,
( ( ! [V_nat: $i,V_msg1_H: $i,V_msg2_H: $i] :
( ( c_Message_Omsg_ONonce @ V_nat )
!= ( c_Message_Omsg_OMPair @ V_msg1_H @ V_msg2_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[167]) ).
thf(728,plain,
( ( ! [V_msg1_H: $i,V_msg2_H: $i,V_nat: $i] :
( ( c_Message_Omsg_OMPair @ V_msg1_H @ V_msg2_H )
!= ( c_Message_Omsg_ONonce @ V_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[168]) ).
thf(729,plain,
( ( ! [V_nat_H: $i,V_msg_H: $i,V_nat: $i] :
( ( c_Message_Omsg_OCrypt @ V_nat_H @ V_msg_H )
!= ( c_Message_Omsg_ONonce @ V_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[169]) ).
thf(730,plain,
( ( ! [V_nat: $i,V_nat_H: $i,V_msg_H: $i] :
( ( c_Message_Omsg_ONonce @ V_nat )
!= ( c_Message_Omsg_OCrypt @ V_nat_H @ V_msg_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[170]) ).
thf(731,plain,
( ( ! [V_H: $i] :
( ( c_Message_Oparts @ ( c_Message_Oanalz @ V_H ) )
= ( c_Message_Oparts @ V_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[171]) ).
thf(732,plain,
( ( ! [V_H: $i,V_H_H: $i,V_X: $i] :
( ( ( c_Message_Oanalz @ V_H )
!= ( c_Message_Oanalz @ V_H_H ) )
| ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H_H @ tc_Message_Omsg ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[172]) ).
thf(733,plain,
( ( ! [V_nat_H: $i,V_nat: $i] :
( ( hAPP @ c_Message_Omsg_OKey @ V_nat_H )
!= ( c_Message_Omsg_ONonce @ V_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[173]) ).
thf(734,plain,
( ( ! [V_nat: $i,V_nat_H: $i] :
( ( c_Message_Omsg_ONonce @ V_nat )
!= ( hAPP @ c_Message_Omsg_OKey @ V_nat_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[174]) ).
thf(735,plain,
( ( ! [V_H: $i] :
( ( c_Message_Oanalz @ ( c_Message_Oparts @ V_H ) )
= ( c_Message_Oparts @ V_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[175]) ).
thf(736,plain,
( ( ! [V_nat_H: $i,V_agent: $i] :
( ( c_Message_Omsg_ONonce @ V_nat_H )
!= ( c_Message_Omsg_OAgent @ V_agent ) ) )
= $true ),
inference(unfold_def,[status(thm)],[176]) ).
thf(737,plain,
( ( ! [V_agent: $i,V_nat_H: $i] :
( ( c_Message_Omsg_OAgent @ V_agent )
!= ( c_Message_Omsg_ONonce @ V_nat_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[177]) ).
thf(738,plain,
( ( ! [V_agent1: $i,V_agent2: $i,V_msg: $i,V_agent_H: $i,V_msg_H: $i] :
( ( c_Event_Oevent_OSays @ V_agent1 @ V_agent2 @ V_msg )
!= ( c_Event_Oevent_OGets @ V_agent_H @ V_msg_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[178]) ).
thf(739,plain,
( ( ! [V_agent_H: $i,V_msg_H: $i,V_agent1: $i,V_agent2: $i,V_msg: $i] :
( ( c_Event_Oevent_OGets @ V_agent_H @ V_msg_H )
!= ( c_Event_Oevent_OSays @ V_agent1 @ V_agent2 @ V_msg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[179]) ).
thf(740,plain,
( ( ! [V_A: $i,V_b: $i,V_C: $i] :
( ( hAPP @ c_Public_OshrK @ V_A )
!= ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_C ) ) )
= $true ),
inference(unfold_def,[status(thm)],[180]) ).
thf(741,plain,
( ( ! [V_b: $i,V_C: $i,V_A: $i] :
( ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_C )
!= ( hAPP @ c_Public_OshrK @ V_A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[181]) ).
thf(742,plain,
( ( ! [V_A: $i] :
( ( hAPP @ c_Message_OinvKey @ ( hAPP @ c_Public_OshrK @ V_A ) )
= ( hAPP @ c_Public_OshrK @ V_A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[182]) ).
thf(743,plain,
( ( ! [V_agent_H: $i,V_msg_H: $i,V_agent: $i,V_msg: $i] :
( ( c_Event_Oevent_ONotes @ V_agent_H @ V_msg_H )
!= ( c_Event_Oevent_OGets @ V_agent @ V_msg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[183]) ).
thf(744,plain,
( ( ! [V_agent: $i,V_msg: $i,V_agent_H: $i,V_msg_H: $i] :
( ( c_Event_Oevent_OGets @ V_agent @ V_msg )
!= ( c_Event_Oevent_ONotes @ V_agent_H @ V_msg_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[184]) ).
thf(745,plain,
( ( ! [V_A: $i,V_X: $i,V_evs: $i] :
( ( ( c_Event_Oknows @ V_A @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ V_X @ ( c_Event_Oknows @ V_A @ V_evs ) @ tc_Message_Omsg ) )
| ( V_A = c_Message_Oagent_OSpy ) ) )
= $true ),
inference(unfold_def,[status(thm)],[185]) ).
thf(746,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i] :
( ( c_List_Oset @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= ( c_Set_Oinsert @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[186]) ).
thf(747,plain,
( ( ! [V_Y: $i,V_H: $i,V_X: $i] :
( ( hBOOL @ ( c_in @ V_Y @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[187]) ).
thf(748,plain,
( ( ! [V_X: $i,V_H: $i,V_Y: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[188]) ).
thf(749,plain,
( ( ! [V_X: $i,V_H: $i,V_K: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[189]) ).
thf(750,plain,
( ( ! [V_X: $i,V_K: $i,V_X_H: $i,V_Y: $i,V_A: $i] :
( ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_X @ V_K ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ V_X_H @ V_Y ) @ V_A @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ V_X_H @ V_Y ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_X @ V_K ) @ V_A @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[190]) ).
thf(751,plain,
( ( ! [V_Y: $i,V_H: $i,V_X: $i] :
( ( hBOOL @ ( c_in @ V_Y @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_Y @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[191]) ).
thf(752,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ V_H ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[192]) ).
thf(753,plain,
( ( ! [V_c: $i,V_a: $i,V_G: $i] :
( ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_a @ V_G @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oanalz @ V_G ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[193]) ).
thf(754,plain,
( ( ! [V_c: $i,V_H: $i] :
( ~ ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[194]) ).
thf(755,plain,
( ( ! [V_c: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[195]) ).
thf(756,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[196]) ).
thf(757,plain,
( ( ! [V_X: $i,V_Y: $i,V_H: $i] :
( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ ( c_Set_Oinsert @ V_Y @ V_H @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[197]) ).
thf(758,plain,
( ( ! [V_K: $i,V_X: $i,V_Y: $i,V_A: $i] :
( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ V_A @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_A @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[198]) ).
thf(759,plain,
( ( ! [V_K: $i,V_X: $i,V_H: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ V_K ) ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[199]) ).
thf(760,plain,
( ( ! [V_K: $i,V_X: $i,V_H: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ V_K ) ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[200]) ).
thf(761,plain,
( ( ! [V_Y: $i,V_H: $i,V_X: $i] :
( ( hBOOL @ ( c_in @ V_Y @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_Y @ ( c_Message_Osynth @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[201]) ).
thf(762,plain,
( ( ! [V_N: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ V_N ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ V_N ) @ V_H @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[202]) ).
thf(763,plain,
( ( ! [V_N: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ V_N ) @ V_H @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ V_N ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[203]) ).
thf(764,plain,
( ( ! [V_n: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ V_n ) @ V_H @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ V_n ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[204]) ).
thf(765,plain,
( ( ! [V_K: $i,V_X: $i,V_K_H: $i,V_A: $i] :
( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_X @ V_K_H ) @ V_A @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_X @ V_K_H ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_A @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[205]) ).
thf(766,plain,
( ( ! [V_X: $i,V_K: $i,V_C: $i,V_A: $i] :
( ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_X @ V_K ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ V_C ) @ V_A @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ V_C ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_X @ V_K ) @ V_A @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[206]) ).
thf(767,plain,
( ( ! [V_K: $i,V_C: $i,V_A: $i] :
( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ V_C ) @ V_A @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ V_C ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_A @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[207]) ).
thf(768,plain,
( ( ! [V_agt: $i,V_H: $i] :
( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ V_agt ) @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ V_agt ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[208]) ).
thf(769,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) )
= ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[209]) ).
thf(770,plain,
( ( ! [V_b: $i,V_A: $i,V_evs: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_A ) ) ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[210]) ).
thf(771,plain,
( ( ! [V_A: $i,V_X: $i,V_evs: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) )
= $true ),
inference(unfold_def,[status(thm)],[211]) ).
thf(772,plain,
( ( ! [V_A: $i,V_B: $i,V_X: $i,V_evs: $i] :
( ( c_Event_Oknows @ V_A @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ V_X @ ( c_Event_Oknows @ V_A @ V_evs ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[212]) ).
thf(773,plain,
( ( ( c_NS__Shared__Mirabelle_Ons__sharedp @ v_x )
= ( c_in @ v_x @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ),
inference(unfold_def,[status(thm)],[213]) ).
thf(774,plain,
( ( ! [V_A: $i,V_X: $i,V_evs: $i] :
( ( c_Event_Oknows @ V_A @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ V_X @ ( c_Event_Oknows @ V_A @ V_evs ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[214]) ).
thf(775,plain,
( ( ! [V_X: $i,V_H: $i,V_K: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ V_K ) ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[215]) ).
thf(776,plain,
( ( ! [V_b: $i,V_A: $i,V_evs: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_A ) ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[216]) ).
thf(777,plain,
( ( ! [V_A: $i,V_B: $i,V_X: $i,V_evs: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ V_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[217]) ).
thf(778,plain,
( ( ! [V_A: $i,V_B: $i,V_NA: $i,V_evs1: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_ONonce @ V_NA ) ) ) ) @ V_evs1 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ V_NA ) @ ( c_Event_Oused @ V_evs1 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_evs1 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[218]) ).
thf(779,plain,
( ( ! [V_A: $i,V_B: $i,V_NA: $i,V_evs1: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_ONonce @ V_NA ) ) ) ) @ V_evs1 @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ V_NA ) @ ( c_Event_Oused @ V_evs1 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ V_evs1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[219]) ).
thf(780,plain,
( ( ! [V_A: $i,V_B: $i,V_K: $i,V_NB: $i,V_evs5: $i,V_S: $i,V_NA: $i,V_X: $i,V_B_H: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A @ V_B @ ( c_Message_Omsg_OCrypt @ V_K @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NB ) @ ( c_Message_Omsg_ONonce @ V_NB ) ) ) ) @ V_evs5 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_S @ V_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evs5 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_B_H @ V_A @ ( c_Message_Omsg_OCrypt @ V_K @ ( c_Message_Omsg_ONonce @ V_NB ) ) ) @ ( c_List_Oset @ V_evs5 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ V_K @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ V_evs5 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[220]) ).
thf(781,plain,
( ( ! [V_K: $i,V_X: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg ) ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ V_K ) ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[221]) ).
thf(782,plain,
( ( ! [V_K: $i,V_X: $i,V_H: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ V_K ) ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[222]) ).
thf(783,plain,
( ( ! [V_A: $i,V_B: $i,V_K: $i,V_NB: $i,V_evs5: $i,V_S: $i,V_NA: $i,V_X: $i,V_B_H: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A @ V_B @ ( c_Message_Omsg_OCrypt @ V_K @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NB ) @ ( c_Message_Omsg_ONonce @ V_NB ) ) ) ) @ V_evs5 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_S @ V_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evs5 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_B_H @ V_A @ ( c_Message_Omsg_OCrypt @ V_K @ ( c_Message_Omsg_ONonce @ V_NB ) ) ) @ ( c_List_Oset @ V_evs5 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ V_K @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ V_evs5 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[223]) ).
thf(784,plain,
( ( ! [V_X: $i,V_evs: $i,V_K: $i,V_S: $i,V_A: $i,V_NA: $i,V_B: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_K @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_S @ V_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[224]) ).
thf(785,plain,
( ( ! [V_K: $i,V_X: $i,V_G: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_G @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ V_G ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ V_H @ V_G @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[225]) ).
thf(786,plain,
( ( ! [V_K: $i,V_G: $i,V_X: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ V_G ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_G @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ V_H @ V_G @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[226]) ).
thf(787,plain,
( ( ! [V_Z: $i,V_H: $i,V_X: $i] :
( ( hBOOL @ ( c_in @ V_Z @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_Z @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[227]) ).
thf(788,plain,
( ( ! [V_A: $i,V_NA: $i,V_B: $i,V_KAB: $i,V_evs2: $i,V_A_H: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_KAB ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_KAB ) @ ( c_Message_Omsg_OAgent @ V_A ) ) ) ) ) ) ) ) @ V_evs2 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_A_H @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_ONonce @ V_NA ) ) ) ) @ ( c_List_Oset @ V_evs2 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ V_KAB @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_KAB ) @ ( c_Event_Oused @ V_evs2 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_evs2 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[228]) ).
thf(789,plain,
( ( ! [V_A: $i,V_NA: $i,V_B: $i,V_KAB: $i,V_evs2: $i,V_A_H: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_KAB ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_KAB ) @ ( c_Message_Omsg_OAgent @ V_A ) ) ) ) ) ) ) ) @ V_evs2 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_A_H @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_ONonce @ V_NA ) ) ) ) @ ( c_List_Oset @ V_evs2 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ V_KAB @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_KAB ) @ ( c_Event_Oused @ V_evs2 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ V_evs2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[229]) ).
thf(790,plain,
( ( ! [V_x: $i,V_AA: $i] :
( ( hBOOL @ ( c_in @ V_x @ V_AA @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ V_x ) @ ( c_Set_Oimage @ c_Public_OshrK @ V_AA @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[230]) ).
thf(791,plain,
( ( ! [V_x: $i,V_AA: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ V_x ) @ ( c_Set_Oimage @ c_Public_OshrK @ V_AA @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ V_x @ V_AA @ tc_Message_Oagent ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[231]) ).
thf(792,plain,
( ( ! [V_G: $i,V_H: $i] :
( ( c_lessequals @ V_G @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Osynth @ V_G ) @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[232]) ).
thf(793,plain,
( ( ! [V_G: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Osynth @ V_G ) @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ V_G @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[233]) ).
thf(794,plain,
( ( ! [V_G: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Osynth @ V_G ) @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[234]) ).
thf(795,plain,
( ( ! [V_H: $i] : ( c_lessequals @ V_H @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[235]) ).
thf(796,plain,
( ( ! [V_H: $i,V_H_H: $i,V_G: $i,V_G_H: $i] :
( ( ( c_Message_Oanalz @ V_H )
!= ( c_Message_Oanalz @ V_H_H ) )
| ( ( c_Message_Oanalz @ V_G )
!= ( c_Message_Oanalz @ V_G_H ) )
| ( ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_G_H @ V_H_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[236]) ).
thf(797,plain,
( ( ! [V_G: $i,V_H: $i] :
( ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oanalz @ V_G ) @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[237]) ).
thf(798,plain,
( ( ! [V_H: $i] : ( c_lessequals @ V_H @ ( c_Message_Oanalz @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[238]) ).
thf(799,plain,
( ( ! [V_G: $i,V_H: $i] :
( ( c_lessequals @ V_G @ ( c_Message_Oanalz @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oanalz @ V_G ) @ ( c_Message_Oanalz @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[239]) ).
thf(800,plain,
( ( ! [V_G: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ V_G ) @ ( c_Message_Oanalz @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ V_G @ ( c_Message_Oanalz @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[240]) ).
thf(801,plain,
( ( ! [V_G: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ V_G ) @ ( c_Message_Oanalz @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[241]) ).
thf(802,plain,
( ( ! [V_f: $i,V_x: $i,V_A: $i,T_a: $i,T_b: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ V_f @ V_x ) @ ( c_Set_Oimage @ V_f @ V_A @ T_a @ T_b ) @ T_b ) )
| ~ ( hBOOL @ ( c_in @ V_x @ V_A @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[242]) ).
thf(803,plain,
( ( ! [V_f: $i,V_x: $i,V_A: $i,T_b: $i,T_a: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ V_f @ V_x ) @ ( c_Set_Oimage @ V_f @ V_A @ T_b @ T_a ) @ T_a ) )
| ~ ( hBOOL @ ( c_in @ V_x @ V_A @ T_b ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[243]) ).
thf(804,plain,
( ( ! [V_x: $i,V_A: $i,T_b: $i,V_f: $i,T_a: $i] :
( ~ ( hBOOL @ ( c_in @ V_x @ V_A @ T_b ) )
| ( hBOOL @ ( c_in @ ( hAPP @ V_f @ V_x ) @ ( c_Set_Oimage @ V_f @ V_A @ T_b @ T_a ) @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[244]) ).
thf(805,plain,
( ( ! [V_x: $i,V_A: $i,T_aa: $i,V_f: $i,T_a: $i] :
( ~ ( hBOOL @ ( c_in @ V_x @ V_A @ T_aa ) )
| ( hBOOL @ ( c_in @ ( hAPP @ V_f @ V_x ) @ ( c_Set_Oimage @ V_f @ V_A @ T_aa @ T_a ) @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[245]) ).
thf(806,plain,
( ( ! [V_x: $i,T_a: $i] : ( hBOOL @ ( c_in @ V_x @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[246]) ).
thf(807,plain,
( ( ! [V_c: $i,V_B: $i,T_a: $i,V_A: $i] :
( ( hBOOL @ ( c_in @ V_c @ V_B @ T_a ) )
| ( hBOOL @ ( c_in @ V_c @ V_A @ T_a ) )
| ~ ( hBOOL @ ( c_in @ V_c @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[247]) ).
thf(808,plain,
( ( ! [V_c: $i,V_A: $i,V_B: $i,T_a: $i] :
( ( hBOOL @ ( c_in @ V_c @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) )
| ~ ( hBOOL @ ( c_in @ V_c @ V_B @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[248]) ).
thf(809,plain,
( ( ! [V_c: $i,V_A: $i,V_B: $i,T_a: $i] :
( ( hBOOL @ ( c_in @ V_c @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) )
| ~ ( hBOOL @ ( c_in @ V_c @ V_A @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[249]) ).
thf(810,plain,
( ( ! [V_x: $i,V_B: $i,T_a: $i,V_A: $i] :
( ( hBOOL @ ( c_in @ V_x @ V_B @ T_a ) )
| ~ ( hBOOL @ ( c_in @ V_x @ V_A @ T_a ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[250]) ).
thf(811,plain,
( ( ! [V_c: $i,V_B: $i,T_a: $i,V_A: $i] :
( ( hBOOL @ ( c_in @ V_c @ V_B @ T_a ) )
| ~ ( hBOOL @ ( c_in @ V_c @ V_A @ T_a ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[251]) ).
thf(812,plain,
( ( ! [V_x: $i,V_B: $i,T_a: $i,V_A: $i] :
( ( hBOOL @ ( c_in @ V_x @ V_B @ T_a ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ V_x @ V_A @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[252]) ).
thf(813,plain,
( ( ! [V_t: $i,V_B: $i,T_a: $i,V_A: $i] :
( ( hBOOL @ ( c_in @ V_t @ V_B @ T_a ) )
| ~ ( hBOOL @ ( c_in @ V_t @ V_A @ T_a ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[253]) ).
thf(814,plain,
( ( ! [V_K: $i,V_evs: $i] :
( ~ ( hBOOL @ ( c_in @ V_K @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[254]) ).
thf(815,plain,
( ( ! [T_b: $i,V_f: $i,V_x: $i,V_g: $i,T_a: $i] :
( ~ ( class_HOL_Oord @ T_b )
| ( c_lessequals @ ( hAPP @ V_f @ V_x ) @ ( hAPP @ V_g @ V_x ) @ T_b )
| ~ ( c_lessequals @ V_f @ V_g @ ( tc_fun @ T_a @ T_b ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[255]) ).
thf(816,plain,
( ( ! [V_x: $i,V_b: $i,V_AA: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ V_x ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ V_b ) @ V_AA @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[256]) ).
thf(817,plain,
( ( ! [V_f: $i,V_a: $i,V_B: $i,T_b: $i,T_a: $i] :
( ( c_Set_Oinsert @ ( hAPP @ V_f @ V_a ) @ ( c_Set_Oimage @ V_f @ V_B @ T_b @ T_a ) @ T_a )
= ( c_Set_Oimage @ V_f @ ( c_Set_Oinsert @ V_a @ V_B @ T_b ) @ T_b @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[257]) ).
thf(818,plain,
( ( ! [V_b: $i,V_A: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_A ) @ c_Message_OsymKeys @ tc_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[258]) ).
thf(819,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Lattices_Olattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a ) @ T_a )
= ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[259]) ).
thf(820,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a ) @ T_a )
= ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[260]) ).
thf(821,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[261]) ).
thf(822,plain,
( ( ! [V_G: $i,V_H: $i] :
( ( c_lessequals @ V_G @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oparts @ V_G ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[262]) ).
thf(823,plain,
( ( ! [V_G: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ V_G ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ V_G @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[263]) ).
thf(824,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Lattices_Olattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a )
= ( c_Lattices_Oupper__semilattice__class_Osup @ V_y @ V_x @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[264]) ).
thf(825,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a )
= ( c_Lattices_Oupper__semilattice__class_Osup @ V_y @ V_x @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[265]) ).
thf(826,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ V_B @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[266]) ).
thf(827,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Lattices_Olattice @ T_a )
| ( c_lessequals @ V_x @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[267]) ).
thf(828,plain,
( ( ! [T_a: $i,V_y: $i,V_x: $i] :
( ~ ( class_Lattices_Olattice @ T_a )
| ( c_lessequals @ V_y @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[268]) ).
thf(829,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i,V_z: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a ) @ V_z @ T_a )
| ~ ( c_lessequals @ V_y @ V_z @ T_a )
| ~ ( c_lessequals @ V_x @ V_z @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[269]) ).
thf(830,plain,
( ( ! [T_a: $i,V_y: $i,V_z: $i,V_x: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_y @ V_z @ T_a ) @ V_x @ T_a )
| ~ ( c_lessequals @ V_z @ V_x @ T_a )
| ~ ( c_lessequals @ V_y @ V_x @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[270]) ).
thf(831,plain,
( ( ! [T_a: $i,V_y: $i,V_x: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( c_lessequals @ V_y @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[271]) ).
thf(832,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( c_lessequals @ V_x @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[272]) ).
thf(833,plain,
( ( ! [T_a: $i,V_a: $i,V_b: $i,V_x: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_a @ V_b @ T_a ) @ V_x @ T_a )
| ~ ( c_lessequals @ V_b @ V_x @ T_a )
| ~ ( c_lessequals @ V_a @ V_x @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[273]) ).
thf(834,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i,V_C: $i] :
( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_B @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_C @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[274]) ).
thf(835,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i] : ( c_lessequals @ V_A @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[275]) ).
thf(836,plain,
( ( ! [V_B: $i,V_A: $i,T_a: $i] : ( c_lessequals @ V_B @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[276]) ).
thf(837,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i,V_C: $i] :
( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_B @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_C @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[277]) ).
thf(838,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i,V_z: $i] :
( ~ ( class_Lattices_Olattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a ) @ V_z @ T_a )
= ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_y @ V_z @ T_a ) @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[278]) ).
thf(839,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i,V_z: $i] :
( ~ ( class_Lattices_Olattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_y @ V_z @ T_a ) @ T_a )
= ( c_Lattices_Oupper__semilattice__class_Osup @ V_y @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_z @ T_a ) @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[279]) ).
thf(840,plain,
( ( ! [V_A: $i,V_B: $i,V_C: $i,T_a: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_B @ V_C @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ V_C @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[280]) ).
thf(841,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i,V_z: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_y @ V_z @ T_a ) @ T_a )
= ( c_Lattices_Oupper__semilattice__class_Osup @ V_y @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_z @ T_a ) @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[281]) ).
thf(842,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i,V_z: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a ) @ V_z @ T_a )
= ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_y @ V_z @ T_a ) @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[282]) ).
thf(843,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i,V_C: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_B @ V_C @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[283]) ).
thf(844,plain,
( ( ! [V_A: $i,V_B: $i,V_C: $i,T_a: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_B @ V_C @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ V_B @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_C @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[284]) ).
thf(845,plain,
( ( ! [V_f: $i,V_x: $i,T_b: $i,T_a: $i] : ( hBOOL @ ( c_in @ ( hAPP @ V_f @ V_x ) @ ( c_Set_Oimage @ V_f @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ T_b @ tc_bool ) ) @ T_b @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[285]) ).
thf(846,plain,
( ( ! [V_G: $i,V_H: $i] : ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ V_G ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[286]) ).
thf(847,plain,
( ( ! [V_G: $i,V_H: $i] : ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oanalz @ V_G ) @ ( c_Message_Oanalz @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[287]) ).
thf(848,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_x @ T_a )
= V_x ) ) )
= $true ),
inference(unfold_def,[status(thm)],[288]) ).
thf(849,plain,
( ( ! [V_A: $i,T_a: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_A @ ( tc_fun @ T_a @ tc_bool ) )
= V_A ) )
= $true ),
inference(unfold_def,[status(thm)],[289]) ).
thf(850,plain,
( ( ! [T_b: $i,V_f: $i,V_g: $i] :
( ~ ( class_Lattices_Olattice @ T_b )
| ( ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_f @ V_g @ ( tc_fun @ t_a @ T_b ) ) @ v_x )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( hAPP @ V_f @ v_x ) @ ( hAPP @ V_g @ v_x ) @ T_b ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[290]) ).
thf(851,plain,
( ( ! [V_b: $i,V_x: $i,V_AA: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_x ) @ ( c_Set_Oimage @ c_Public_OshrK @ V_AA @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[291]) ).
thf(852,plain,
( ( ! [V_f: $i,V_x: $i,V_B: $i,T_a: $i,V_A: $i,T_b: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ V_f @ V_x ) @ V_B @ T_a ) )
| ~ ( hBOOL @ ( c_in @ V_x @ V_A @ T_b ) )
| ~ ( c_lessequals @ ( c_Set_Oimage @ V_f @ V_A @ T_b @ T_a ) @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[292]) ).
thf(853,plain,
( ( ! [V_G: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ V_G ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[293]) ).
thf(854,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i,V_x: $i] :
( ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Set_Oinsert @ V_x @ V_A @ T_a ) @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[294]) ).
thf(855,plain,
( ( ! [V_A: $i,V_b: $i,V_B: $i,T_a: $i] :
( ( c_lessequals @ V_A @ ( c_Set_Oinsert @ V_b @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[295]) ).
thf(856,plain,
( ( ! [V_b: $i,V_c: $i,V_x: $i,V_AA: $i] :
( ( V_b = V_c )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_x ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ V_c ) @ V_AA @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[296]) ).
thf(857,plain,
( ( ! [V_x: $i,V_AA: $i,V_b: $i,V_c: $i] :
( ( hBOOL @ ( c_in @ V_x @ V_AA @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_x ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ V_c ) @ V_AA @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[297]) ).
thf(858,plain,
( ( ! [V_x: $i,V_xa: $i,V_AA: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ V_x ) @ V_xa ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ V_x ) @ V_AA @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ V_xa @ V_AA @ tc_Message_Oagent ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[298]) ).
thf(859,plain,
( ( ! [V_a: $i,V_B: $i,T_a: $i,V_C: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oinsert @ V_a @ V_B @ T_a ) @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_Set_Oinsert @ V_a @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_B @ V_C @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[299]) ).
thf(860,plain,
( ( ! [V_A: $i,V_a: $i,V_B: $i,T_a: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ ( c_Set_Oinsert @ V_a @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_Set_Oinsert @ V_a @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[300]) ).
thf(861,plain,
( ( ! [V_b: $i,V_x: $i,V_c: $i,V_AA: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_x ) ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ V_c ) @ V_AA @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[301]) ).
thf(862,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_Lattices_Obounded__lattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ ( c_Orderings_Otop__class_Otop @ T_a ) @ T_a )
= ( c_Orderings_Otop__class_Otop @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[302]) ).
thf(863,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_Lattices_Obounded__lattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Otop__class_Otop @ T_a ) @ V_x @ T_a )
= ( c_Orderings_Otop__class_Otop @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[303]) ).
thf(864,plain,
( ( ! [T_a: $i,V_B: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ T_a @ tc_bool ) ) @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_Orderings_Otop__class_Otop @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[304]) ).
thf(865,plain,
( ( ! [V_A: $i,T_a: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_Orderings_Otop__class_Otop @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[305]) ).
thf(866,plain,
( ( ! [V_G: $i,V_H: $i] : ( c_lessequals @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ V_G ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[306]) ).
thf(867,plain,
( ( ! [V_B: $i,V_a: $i,T_a: $i] : ( c_lessequals @ V_B @ ( c_Set_Oinsert @ V_a @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[307]) ).
thf(868,plain,
( ( ! [V_K: $i] :
( ( hBOOL @ ( c_in @ V_K @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ V_K ) @ c_Message_OsymKeys @ tc_nat ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[308]) ).
thf(869,plain,
( ( ! [V_K: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ V_K ) @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ V_K @ c_Message_OsymKeys @ tc_nat ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[309]) ).
thf(870,plain,
( ( ! [V_B: $i,V_x: $i,V_A: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_B @ V_x ) )
| ( hBOOL @ ( hAPP @ V_A @ V_x ) )
| ~ ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ V_x ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[310]) ).
thf(871,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ V_x ) )
| ~ ( hBOOL @ ( hAPP @ V_B @ V_x ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[311]) ).
thf(872,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ V_x ) )
| ~ ( hBOOL @ ( hAPP @ V_A @ V_x ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[312]) ).
thf(873,plain,
( ( ! [V_K: $i] :
( ( ( hAPP @ c_Message_OinvKey @ V_K )
= V_K )
| ~ ( hBOOL @ ( c_in @ V_K @ c_Message_OsymKeys @ tc_nat ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[313]) ).
thf(874,plain,
( ( ! [V_H: $i] : ( c_lessequals @ V_H @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[314]) ).
thf(875,plain,
( ( ! [V_G: $i,V_H: $i] :
( ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ V_G ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[315]) ).
thf(876,plain,
( ( ! [V_G: $i,V_H: $i] : ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ V_G ) @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Message_Osynth @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[316]) ).
thf(877,plain,
( ( ! [T_a: $i,V_x: $i] : ( hBOOL @ ( hAPP @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ T_a @ tc_bool ) ) @ V_x ) ) )
= $true ),
inference(unfold_def,[status(thm)],[317]) ).
thf(878,plain,
( ( ! [T_b: $i] :
( ~ ( class_Orderings_Otop @ T_b )
| ( ( hAPP @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ t_a @ T_b ) ) @ v_x )
= ( c_Orderings_Otop__class_Otop @ T_b ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[318]) ).
thf(879,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i] :
( ( V_A = V_B )
| ~ ( c_lessequals @ V_B @ V_A @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[319]) ).
thf(880,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i] :
( ( V_A = V_B )
| ~ ( c_lessequals @ V_B @ V_A @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[320]) ).
thf(881,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( V_x = V_y )
| ~ ( c_lessequals @ V_y @ V_x @ T_a )
| ~ ( c_lessequals @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[321]) ).
thf(882,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( V_x = V_y )
| ~ ( c_lessequals @ V_y @ V_x @ T_a )
| ~ ( c_lessequals @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[322]) ).
thf(883,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( V_x = V_y )
| ~ ( c_lessequals @ V_x @ V_y @ T_a )
| ~ ( c_lessequals @ V_y @ V_x @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[323]) ).
thf(884,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a )
= V_x )
| ~ ( c_lessequals @ V_y @ V_x @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[324]) ).
thf(885,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a )
!= V_y )
| ( c_lessequals @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[325]) ).
thf(886,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a )
= V_y )
| ~ ( c_lessequals @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[326]) ).
thf(887,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
= V_B )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[327]) ).
thf(888,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
= V_A )
| ~ ( c_lessequals @ V_B @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[328]) ).
thf(889,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
!= V_B )
| ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[329]) ).
thf(890,plain,
( ( ! [V_K: $i,V_evs: $i,V_A: $i,V_NA: $i,V_B: $i,V_X: $i] :
( ~ ( hBOOL @ ( c_in @ V_K @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[330]) ).
thf(891,plain,
( ( ! [V_B: $i,V_A: $i,V_K: $i,V_NB: $i,V_evs4: $i,V_A_H: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_B @ V_A @ ( c_Message_Omsg_OCrypt @ V_K @ ( c_Message_Omsg_ONonce @ V_NB ) ) ) @ V_evs4 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_A_H @ V_B @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OAgent @ V_A ) ) ) ) @ ( c_List_Oset @ V_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ V_K @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ V_NB ) @ ( c_Event_Oused @ V_evs4 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_evs4 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[331]) ).
thf(892,plain,
( ( ! [V_evs: $i,V_A: $i,V_X: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[332]) ).
thf(893,plain,
( ( ! [V_evs: $i,V_A: $i,V_X: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[333]) ).
thf(894,plain,
( ( ! [V_X: $i,V_evs: $i,V_A: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[334]) ).
thf(895,plain,
( ( ! [V_evs: $i,V_A: $i,V_B: $i,V_X: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ V_evs @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[335]) ).
thf(896,plain,
( ( ! [V_B: $i,V_A: $i,V_K: $i,V_NB: $i,V_evs4: $i,V_A_H: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_B @ V_A @ ( c_Message_Omsg_OCrypt @ V_K @ ( c_Message_Omsg_ONonce @ V_NB ) ) ) @ V_evs4 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_A_H @ V_B @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OAgent @ V_A ) ) ) ) @ ( c_List_Oset @ V_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ V_K @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ V_NB ) @ ( c_Event_Oused @ V_evs4 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ V_evs4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[336]) ).
thf(897,plain,
( ( ! [V_X: $i,V_evs: $i,V_A: $i,V_B: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[337]) ).
thf(898,plain,
( ( ! [V_b: $i,V_A: $i,V_evs: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_A ) ) ) @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[338]) ).
thf(899,plain,
( ( ! [V_c: $i,V_evs: $i] :
( ( hBOOL @ ( c_in @ V_c @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[339]) ).
thf(900,plain,
( ( ! [V_K: $i,V_evs: $i,V_A: $i,V_K_H: $i,V_N: $i,V_B: $i,V_X: $i] :
( ~ ( hBOOL @ ( c_in @ V_K @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OCrypt @ V_K_H @ ( c_Message_Omsg_OMPair @ V_N @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[340]) ).
thf(901,plain,
( ( ! [V_A: $i,V_evs: $i,V_A_H: $i,V_X: $i] : ( c_lessequals @ ( c_Event_Oknows @ V_A @ V_evs ) @ ( c_Event_Oknows @ V_A @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ V_A_H @ V_X ) @ V_evs @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[341]) ).
thf(902,plain,
( ( ! [V_A: $i,V_evs: $i,V_A_H: $i,V_X: $i] : ( c_lessequals @ ( c_Event_Oknows @ V_A @ V_evs ) @ ( c_Event_Oknows @ V_A @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ V_A_H @ V_X ) @ V_evs @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[342]) ).
thf(903,plain,
( ( ! [V_A: $i,V_evs: $i,V_A_H: $i,V_B: $i,V_X: $i] : ( c_lessequals @ ( c_Event_Oknows @ V_A @ V_evs ) @ ( c_Event_Oknows @ V_A @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A_H @ V_B @ V_X ) @ V_evs @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[343]) ).
thf(904,plain,
( ( ! [V_K: $i,V_KAB: $i,V_evs: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ V_KAB ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ V_KAB @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[344]) ).
thf(905,plain,
( ( ! [V_K: $i,V_evs: $i,V_KAB: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ( V_K = V_KAB )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ V_KAB ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ V_KAB @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[345]) ).
thf(906,plain,
( ( ! [V_x: $i,V_evs: $i] :
( ( hBOOL @ ( c_in @ V_x @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_x ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ V_x ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[346]) ).
thf(907,plain,
( ( ! [V_b: $i,V_A: $i,V_evs: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_A ) ) @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[347]) ).
thf(908,plain,
( ( ! [V_A: $i,V_evs: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ V_A ) ) @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[348]) ).
thf(909,plain,
( ( ! [V_B: $i,V_evs: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ V_B ) ) @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[349]) ).
thf(910,plain,
( ( ! [V_K: $i,V_X: $i,V_H: $i] : ( c_lessequals @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg ) ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[350]) ).
thf(911,plain,
( ( ! [V_X: $i,V_G: $i,V_H: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_G @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ V_G ) )
| ~ ( c_lessequals @ V_H @ V_G @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[351]) ).
thf(912,plain,
( ( ! [V_Y: $i,V_G: $i,V_H: $i,V_X: $i] :
( ( hBOOL @ ( c_in @ V_Y @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_Y @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ V_G @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[352]) ).
thf(913,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[353]) ).
thf(914,plain,
( ( ! [V_A: $i,V_X: $i,V_evs: $i] :
( ( c_Event_Oused @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Event_Oused @ V_evs ) ) )
= $true ),
inference(unfold_def,[status(thm)],[354]) ).
thf(915,plain,
( ( ! [V_A: $i,V_evs: $i,V_e: $i] : ( c_lessequals @ ( c_Event_Oknows @ V_A @ V_evs ) @ ( c_Event_Oknows @ V_A @ ( c_List_Olist_OCons @ V_e @ V_evs @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[355]) ).
thf(916,plain,
( ( ! [V_X: $i,V_H: $i] : ( c_lessequals @ ( c_Set_Oinsert @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) @ ( c_Message_Osynth @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[356]) ).
thf(917,plain,
( ( ! [V_G: $i,V_H: $i] :
( ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ V_G ) @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( c_Message_Osynth @ V_G ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[357]) ).
thf(918,plain,
( ( ! [V_H: $i] :
( ( c_Message_Oanalz @ ( c_Message_Osynth @ V_H ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oanalz @ V_H ) @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[358]) ).
thf(919,plain,
( ( ! [V_G: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_G ) ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[359]) ).
thf(920,plain,
( ( ! [V_X: $i,V_H: $i] : ( c_lessequals @ ( c_Set_Oinsert @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[360]) ).
thf(921,plain,
( ( ! [V_H: $i] :
( ( c_Message_Oparts @ ( c_Message_Osynth @ V_H ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ V_H ) @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[361]) ).
thf(922,plain,
( ( ! [V_X: $i,V_H: $i,V_G: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_G ) ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_G ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[362]) ).
thf(923,plain,
( ( ! [V_X: $i,V_H: $i] : ( c_lessequals @ ( c_Set_Oinsert @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[363]) ).
thf(924,plain,
( ( ! [V_X: $i,V_H: $i,V_G: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ V_G @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ V_G ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[364]) ).
thf(925,plain,
( ( ! [V_H: $i] : ( c_lessequals @ ( c_Message_Oanalz @ V_H ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[365]) ).
thf(926,plain,
( ( ! [V_X: $i,V_H: $i,V_K: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_K @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[366]) ).
thf(927,plain,
( ( ! [V_X: $i,V_H: $i,V_G: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ V_G @ ( c_Message_Oanalz @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ V_G ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[367]) ).
thf(928,plain,
( ( ! [V_c: $i,V_A: $i,V_G: $i] :
( ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_G @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oanalz @ V_G ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[368]) ).
thf(929,plain,
( ( ! [V_X: $i,V_H: $i,V_G: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ V_G @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oparts @ V_G ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[369]) ).
thf(930,plain,
( ( ! [V_c: $i,V_H: $i,V_G: $i] :
( ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oparts @ V_G ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[370]) ).
thf(931,plain,
( ( ! [V_Y: $i,V_H: $i,V_X: $i] :
( ( hBOOL @ ( c_in @ V_Y @ ( c_Event_Oused @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Event_Oused @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[371]) ).
thf(932,plain,
( ( ! [V_X: $i,V_H: $i,V_Y: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Event_Oused @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Event_Oused @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[372]) ).
thf(933,plain,
( ( ! [V_xs: $i,T_a: $i,V_x: $i] : ( c_lessequals @ ( c_List_Oset @ V_xs @ T_a ) @ ( c_List_Oset @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[373]) ).
thf(934,plain,
( ( ! [V_x: $i,V_A: $i,T_a: $i,V_B: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ V_x @ V_A @ T_a ) @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ V_x @ V_B @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[374]) ).
thf(935,plain,
( ( ! [V_x: $i,V_B: $i,T_a: $i,V_A: $i] :
( ( hBOOL @ ( c_in @ V_x @ V_B @ T_a ) )
| ~ ( c_lessequals @ ( c_Set_Oinsert @ V_x @ V_A @ T_a ) @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[375]) ).
thf(936,plain,
( ( ! [V_f: $i,V_x: $i,V_A: $i,T_a: $i,T_b: $i] :
( ( ( c_Set_Oinsert @ ( hAPP @ V_f @ V_x ) @ ( c_Set_Oimage @ V_f @ V_A @ T_a @ T_b ) @ T_b )
= ( c_Set_Oimage @ V_f @ V_A @ T_a @ T_b ) )
| ~ ( hBOOL @ ( c_in @ V_x @ V_A @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[376]) ).
thf(937,plain,
( ( ! [V_A: $i,V_x: $i,V_B: $i,T_a: $i] :
( ( c_lessequals @ V_A @ ( c_Set_Oinsert @ V_x @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ( hBOOL @ ( c_in @ V_x @ V_A @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[377]) ).
thf(938,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i,V_x: $i] :
( ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ( hBOOL @ ( c_in @ V_x @ V_A @ T_a ) )
| ~ ( c_lessequals @ V_A @ ( c_Set_Oinsert @ V_x @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[378]) ).
thf(939,plain,
( ( ! [V_A: $i,V_x: $i,V_B: $i,T_a: $i] :
( ( c_lessequals @ V_A @ ( c_Set_Oinsert @ V_x @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ( hBOOL @ ( c_in @ V_x @ V_A @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[379]) ).
thf(940,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i,V_x: $i] :
( ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ ( c_Set_Oinsert @ V_x @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) )
| ( hBOOL @ ( c_in @ V_x @ V_A @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[380]) ).
thf(941,plain,
( ( ! [V_b: $i,V_x: $i,V_AA: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_x ) ) @ ( c_Set_Oimage @ c_Public_OshrK @ V_AA @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[381]) ).
thf(942,plain,
( ( ! [V_evs: $i] : ( c_lessequals @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ ( c_Event_Oused @ V_evs ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[382]) ).
thf(943,plain,
( ( ! [V_X: $i,V_H: $i,V_G: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ V_G ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ V_X @ V_G @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[383]) ).
thf(944,plain,
( ( ! [T_a: $i,V_y: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_lessequals @ V_y @ V_x @ T_a )
| ( c_lessequals @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[384]) ).
thf(945,plain,
( ( ! [V_X: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ V_X ) @ c_Message_OsymKeys @ tc_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[385]) ).
thf(946,plain,
( ( ! [V_G: $i,V_H: $i,V_G_H: $i,V_H_H: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_G_H @ V_H_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oanalz @ V_H ) @ ( c_Message_Oanalz @ V_H_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oanalz @ V_G ) @ ( c_Message_Oanalz @ V_G_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[386]) ).
thf(947,plain,
( ( ! [V_f: $i,V_A: $i,V_B: $i,T_b: $i,T_a: $i] :
( ( c_Set_Oimage @ V_f @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_b @ tc_bool ) ) @ T_b @ T_a )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ V_f @ V_A @ T_b @ T_a ) @ ( c_Set_Oimage @ V_f @ V_B @ T_b @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[387]) ).
thf(948,plain,
( ( ! [V_a: $i,V_C: $i,T_a: $i,V_D: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ V_a @ V_C @ T_a ) @ ( c_Set_Oinsert @ V_a @ V_D @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_C @ V_D @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[388]) ).
thf(949,plain,
( ( ! [V_x: $i,V_A: $i,T_b: $i,V_f: $i,T_a: $i] :
( ~ ( c_lessequals @ V_x @ V_A @ ( tc_fun @ T_b @ tc_bool ) )
| ( c_lessequals @ ( c_Set_Oimage @ V_f @ V_x @ T_b @ T_a ) @ ( c_Set_Oimage @ V_f @ V_A @ T_b @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[389]) ).
thf(950,plain,
( ( ! [V_f: $i,V_A: $i,T_a: $i,T_b: $i,V_B: $i] :
( ( c_lessequals @ ( c_Set_Oimage @ V_f @ V_A @ T_a @ T_b ) @ ( c_Set_Oimage @ V_f @ V_B @ T_a @ T_b ) @ ( tc_fun @ T_b @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[390]) ).
thf(951,plain,
( ( ! [V_Q: $i,V_x: $i,V_P: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_Q @ V_x ) )
| ~ ( c_lessequals @ V_P @ V_Q @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[391]) ).
thf(952,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_Orderings_Opreorder @ T_a )
| ( c_lessequals @ V_x @ V_x @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[392]) ).
thf(953,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( c_lessequals @ V_x @ V_x @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[393]) ).
thf(954,plain,
( ( ! [V_Q: $i,V_x: $i,V_P: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_Q @ V_x ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_x ) )
| ~ ( c_lessequals @ V_P @ V_Q @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[394]) ).
thf(955,plain,
( ( ! [V_A: $i,V_C: $i,T_a: $i,V_B: $i] :
( ( c_lessequals @ V_A @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_B @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[395]) ).
thf(956,plain,
( ( ! [V_A: $i,T_a: $i] : ( c_lessequals @ V_A @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[396]) ).
thf(957,plain,
( ( ! [V_x: $i,T_a: $i] : ( c_lessequals @ V_x @ V_x @ ( tc_fun @ T_a @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[397]) ).
thf(958,plain,
( ( ! [T_a: $i,V_x: $i,V_z: $i,V_y: $i] :
( ~ ( class_Orderings_Opreorder @ T_a )
| ( c_lessequals @ V_x @ V_z @ T_a )
| ~ ( c_lessequals @ V_y @ V_z @ T_a )
| ~ ( c_lessequals @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[398]) ).
thf(959,plain,
( ( ! [T_a: $i,V_z: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( c_lessequals @ V_z @ V_x @ T_a )
| ~ ( c_lessequals @ V_z @ V_y @ T_a )
| ~ ( c_lessequals @ V_y @ V_x @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[399]) ).
thf(960,plain,
( ( ! [V_B: $i,V_C: $i,T_a: $i,V_A: $i] :
( ( c_lessequals @ V_B @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ V_C @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[400]) ).
thf(961,plain,
( ( ! [V_A: $i,V_C: $i,T_a: $i,V_B: $i] :
( ( c_lessequals @ V_A @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ V_C @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[401]) ).
thf(962,plain,
( ( ! [T_a: $i,V_a: $i,V_x: $i,V_b: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( c_lessequals @ V_a @ V_x @ T_a )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_a @ V_b @ T_a ) @ V_x @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[402]) ).
thf(963,plain,
( ( ! [T_a: $i,V_b: $i,V_x: $i,V_a: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( c_lessequals @ V_b @ V_x @ T_a )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_a @ V_b @ T_a ) @ V_x @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[403]) ).
thf(964,plain,
( ( ! [T_a: $i,V_x: $i,V_a: $i,V_b: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( c_lessequals @ V_x @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_a @ V_b @ T_a ) @ T_a )
| ~ ( c_lessequals @ V_x @ V_a @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[404]) ).
thf(965,plain,
( ( ! [T_a: $i,V_x: $i,V_a: $i,V_b: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( c_lessequals @ V_x @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_a @ V_b @ T_a ) @ T_a )
| ~ ( c_lessequals @ V_x @ V_b @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[405]) ).
thf(966,plain,
( ( ! [T_a: $i,V_x: $i,V_z: $i,V_y: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( c_lessequals @ V_x @ V_z @ T_a )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a ) @ V_z @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[406]) ).
thf(967,plain,
( ( ! [T_a: $i,V_y: $i,V_z: $i,V_x: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( c_lessequals @ V_y @ V_z @ T_a )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a ) @ V_z @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[407]) ).
thf(968,plain,
( ( ! [V_b: $i,V_A: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_A ) ) @ c_Message_OsymKeys @ tc_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[408]) ).
thf(969,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_Orderings_Otop @ T_a )
| ( c_lessequals @ V_x @ ( c_Orderings_Otop__class_Otop @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[409]) ).
thf(970,plain,
( ( ! [V_A: $i,T_a: $i] : ( c_lessequals @ V_A @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[410]) ).
thf(971,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i,V_C: $i,V_D: $i] :
( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_C @ V_D @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_B @ V_D @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_C @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[411]) ).
thf(972,plain,
( ( ! [V_f: $i,V_a: $i,V_B: $i,T_b: $i,T_a: $i] :
( ( c_Set_Oimage @ V_f @ ( c_Set_Oinsert @ V_a @ V_B @ T_b ) @ T_b @ T_a )
= ( c_Set_Oinsert @ ( hAPP @ V_f @ V_a ) @ ( c_Set_Oimage @ V_f @ V_B @ T_b @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[412]) ).
thf(973,plain,
( ( ! [V_f: $i,V_A: $i,T_b: $i,T_a: $i,V_B: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ V_f @ V_A @ T_b @ T_a ) @ ( c_Set_Oimage @ V_f @ V_B @ T_b @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_Set_Oimage @ V_f @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_b @ tc_bool ) ) @ T_b @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[413]) ).
thf(974,plain,
( ( ! [V_K: $i,V_evs: $i] :
( ~ ( hBOOL @ ( c_in @ V_K @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ V_K @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[414]) ).
thf(975,plain,
( ( ! [V_K: $i,V_H: $i,V_G: $i,V_X: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ V_K ) ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ V_K @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_K @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ V_G @ tc_Message_Omsg ) ) ) @ tc_nat ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[415]) ).
thf(976,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[416]) ).
thf(977,plain,
( ( ! [V_A: $i,V_X: $i,V_evs: $i] :
( ( c_Event_Oused @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Event_Oused @ V_evs ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[417]) ).
thf(978,plain,
( ( ! [V_A: $i,V_B: $i,V_X: $i,V_evs: $i] :
( ( c_Event_Oused @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Event_Oused @ V_evs ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[418]) ).
thf(979,plain,
( ( ! [V_c: $i,V_H: $i,V_X: $i] :
( ( hBOOL @ ( c_in @ V_c @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[419]) ).
thf(980,plain,
( ( ! [V_x: $i,V_A: $i,V_AS: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ V_x ) @ V_A ) ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ V_x ) @ V_AS @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ V_A @ V_AS @ tc_Message_Oagent ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[420]) ).
thf(981,plain,
( ( ! [V_A: $i,V_AS: $i,V_b: $i,V_c: $i] :
( ( hBOOL @ ( c_in @ V_A @ V_AS @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_A ) ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ V_c ) @ V_AS @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[421]) ).
thf(982,plain,
( ( ! [V_x: $i,V_b: $i,V_AA: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ V_x ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ V_b ) @ V_AA @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[422]) ).
thf(983,plain,
( ( ! [V_X: $i,V_evs: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[423]) ).
thf(984,plain,
( ( ! [V_X: $i,V_evs: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Event_Oused @ V_evs ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[424]) ).
thf(985,plain,
( ( ! [V_K: $i,V_nE: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_nE @ tc_nat @ tc_Message_Omsg ) @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_K @ V_nE @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ V_K @ V_nE @ tc_nat ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[425]) ).
thf(986,plain,
( ( ! [V_K: $i,V_nE: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_nE @ tc_nat @ tc_Message_Omsg ) @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_K @ V_nE @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_nE @ tc_nat @ tc_Message_Omsg ) @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[426]) ).
thf(987,plain,
( ( ! [V_K: $i,V_nE: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_nE @ tc_nat @ tc_Message_Omsg ) @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_K @ V_nE @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[427]) ).
thf(988,plain,
( ( ! [V_K: $i,V_nE: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_nE @ tc_nat @ tc_Message_Omsg ) @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_K @ V_nE @ tc_nat ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[428]) ).
thf(989,plain,
( ( ! [V_A: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ V_A ) ) @ c_Message_OsymKeys @ tc_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[429]) ).
thf(990,plain,
( ( ! [V_A: $i,V_B: $i] :
( ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ V_A ) )
!= ( hAPP @ c_Public_OshrK @ V_B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[430]) ).
thf(991,plain,
( ( ! [V_X: $i,V_Y: $i,V_H: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ ( c_Set_Oinsert @ V_Y @ V_H @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_Y @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[431]) ).
thf(992,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[432]) ).
thf(993,plain,
( ( ! [V_x: $i,V_A: $i] :
~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ V_x ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_A @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[433]) ).
thf(994,plain,
( ( ! [V_x: $i,V_A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_x ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_A @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_x @ V_A @ tc_nat ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[434]) ).
thf(995,plain,
( ( ! [V_x: $i,V_A: $i] :
( ( hBOOL @ ( c_in @ V_x @ V_A @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_x ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_A @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[435]) ).
thf(996,plain,
( ( ! [V_K: $i,V_X: $i,V_A: $i] :
~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_A @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[436]) ).
thf(997,plain,
( ( ( c_Message_Oanalz @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[437]) ).
thf(998,plain,
( ( ! [V_P: $i,V_x: $i,T_a: $i] :
( ~ ( hBOOL @ ( hAPP @ V_P @ V_x ) )
| ~ ( hBOOL @ ( c_in @ V_x @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[438]) ).
thf(999,plain,
( ( ! [V_a: $i,T_a: $i] :
~ ( hBOOL @ ( c_in @ V_a @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[439]) ).
thf(1000,plain,
( ( ! [V_c: $i,T_a: $i] :
~ ( hBOOL @ ( c_in @ V_c @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[440]) ).
thf(1001,plain,
( ( ! [V_P: $i,V_x: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_x ) )
| ~ ( hBOOL @ ( c_in @ V_x @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[441]) ).
thf(1002,plain,
( ( ! [V_x: $i,T_a: $i] :
~ ( hBOOL @ ( c_in @ V_x @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[442]) ).
thf(1003,plain,
( ( ! [T_a: $i,V_f: $i,T_b: $i] :
( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_Set_Oimage @ V_f @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_b @ tc_bool ) ) @ T_b @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[443]) ).
thf(1004,plain,
( ( ! [V_a: $i,V_A: $i,T_a: $i] :
( ( c_Set_Oinsert @ V_a @ V_A @ T_a )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oinsert @ V_a @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[444]) ).
thf(1005,plain,
( ( ! [T_a: $i,V_A: $i,V_B: $i] :
( ~ ( class_Lattices_Obounded__lattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ T_a )
!= ( c_Orderings_Obot__class_Obot @ T_a ) )
| ( V_B
= ( c_Orderings_Obot__class_Obot @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[445]) ).
thf(1006,plain,
( ( ! [T_a: $i,V_A: $i,V_B: $i] :
( ~ ( class_Lattices_Obounded__lattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ T_a )
!= ( c_Orderings_Obot__class_Obot @ T_a ) )
| ( V_A
= ( c_Orderings_Obot__class_Obot @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[446]) ).
thf(1007,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) )
| ( V_A
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[447]) ).
thf(1008,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) )
| ( V_B
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[448]) ).
thf(1009,plain,
( ( ( c_Message_Oparts @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[449]) ).
thf(1010,plain,
( ( ! [V_a: $i,T_a: $i,V_b: $i] :
( ( ( c_Set_Oinsert @ V_a @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a )
!= ( c_Set_Oinsert @ V_b @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) )
| ( V_a = V_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[450]) ).
thf(1011,plain,
( ( ! [V_x: $i,V_A: $i] :
( ( hBOOL @ ( c_in @ V_x @ V_A @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ V_x ) @ ( c_Set_Oimage @ c_Message_OinvKey @ V_A @ tc_nat @ tc_nat ) @ tc_nat ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[451]) ).
thf(1012,plain,
( ( ! [V_x: $i,V_A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ V_x ) @ ( c_Set_Oimage @ c_Message_OinvKey @ V_A @ tc_nat @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ V_x @ V_A @ tc_nat ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[452]) ).
thf(1013,plain,
( ( ! [V_f: $i,T_b: $i,T_a: $i] :
( ( c_Set_Oimage @ V_f @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_b @ tc_bool ) ) @ T_b @ T_a )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[453]) ).
thf(1014,plain,
( ( ! [V_xa: $i,V_x: $i,T_a: $i] :
( ( c_Set_Oinsert @ V_xa @ ( c_Set_Oinsert @ V_x @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) @ T_a )
= ( c_Set_Oinsert @ V_x @ ( c_Set_Oinsert @ V_xa @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[454]) ).
thf(1015,plain,
( ( ! [T_b: $i] :
( ~ ( class_Orderings_Obot @ T_b )
| ( ( hAPP @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ t_a @ T_b ) ) @ v_x )
= ( c_Orderings_Obot__class_Obot @ T_b ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[455]) ).
thf(1016,plain,
( ( ! [T_a: $i,V_f: $i,V_A: $i,T_b: $i] :
( ( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) )
!= ( c_Set_Oimage @ V_f @ V_A @ T_b @ T_a ) )
| ( V_A
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_b @ tc_bool ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[456]) ).
thf(1017,plain,
( ( ! [T_a: $i,V_A: $i] : ( c_lessequals @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[457]) ).
thf(1018,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_Orderings_Obot @ T_a )
| ( c_lessequals @ ( c_Orderings_Obot__class_Obot @ T_a ) @ V_x @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[458]) ).
thf(1019,plain,
( ( ! [V_a: $i,V_A: $i,T_a: $i] :
( ( c_Set_Oinsert @ V_a @ V_A @ T_a )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[459]) ).
thf(1020,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_Lattices_Obounded__lattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ ( c_Orderings_Obot__class_Obot @ T_a ) @ T_a )
= V_x ) ) )
= $true ),
inference(unfold_def,[status(thm)],[460]) ).
thf(1021,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_Lattices_Obounded__lattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Obot__class_Obot @ T_a ) @ V_x @ T_a )
= V_x ) ) )
= $true ),
inference(unfold_def,[status(thm)],[461]) ).
thf(1022,plain,
( ( ! [T_a: $i,V_B: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
= V_B ) )
= $true ),
inference(unfold_def,[status(thm)],[462]) ).
thf(1023,plain,
( ( ! [V_A: $i,T_a: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) )
= V_A ) )
= $true ),
inference(unfold_def,[status(thm)],[463]) ).
thf(1024,plain,
( ( ! [T_a: $i,V_x: $i] :
~ ( hBOOL @ ( hAPP @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ V_x ) ) )
= $true ),
inference(unfold_def,[status(thm)],[464]) ).
thf(1025,plain,
( ( ! [T_a: $i] :
( ( c_Orderings_Otop__class_Otop @ ( tc_fun @ T_a @ tc_bool ) )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[465]) ).
thf(1026,plain,
( ( ( c_Event_OinitState @ c_Message_Oagent_OSpy )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ c_Event_Obad @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ c_Public_Okeymode_OSignature ) @ c_Event_Obad @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ c_Public_OshrK @ c_Event_Obad @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ c_Public_Okeymode_OSignature ) @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[466]) ).
thf(1027,plain,
( ( ( c_Event_OinitState @ c_Message_Oagent_OServer )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ c_Message_Oagent_OServer ) ) ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ c_Public_Okeymode_OSignature ) @ c_Message_Oagent_OServer ) ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ c_Public_Okeymode_OSignature ) @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[467]) ).
thf(1028,plain,
( ( ! [V_a: $i,V_b: $i,T_a: $i,V_c: $i,V_d: $i] :
( ( ( c_Set_Oinsert @ V_a @ ( c_Set_Oinsert @ V_b @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) @ T_a )
!= ( c_Set_Oinsert @ V_c @ ( c_Set_Oinsert @ V_d @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) @ T_a ) )
| ( V_a = V_d )
| ( V_a = V_c ) ) )
= $true ),
inference(unfold_def,[status(thm)],[468]) ).
thf(1029,plain,
( ( ! [V_a: $i,V_b: $i,T_a: $i,V_c: $i,V_d: $i] :
( ( ( c_Set_Oinsert @ V_a @ ( c_Set_Oinsert @ V_b @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) @ T_a )
!= ( c_Set_Oinsert @ V_c @ ( c_Set_Oinsert @ V_d @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) @ T_a ) )
| ( V_b = V_c )
| ( V_a = V_c ) ) )
= $true ),
inference(unfold_def,[status(thm)],[469]) ).
thf(1030,plain,
( ( ! [V_a: $i,V_b: $i,T_a: $i,V_c: $i,V_d: $i] :
( ( ( c_Set_Oinsert @ V_a @ ( c_Set_Oinsert @ V_b @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) @ T_a )
!= ( c_Set_Oinsert @ V_c @ ( c_Set_Oinsert @ V_d @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) @ T_a ) )
| ( V_a = V_d )
| ( V_b = V_d ) ) )
= $true ),
inference(unfold_def,[status(thm)],[470]) ).
thf(1031,plain,
( ( ! [V_a: $i,V_b: $i,T_a: $i,V_c: $i,V_d: $i] :
( ( ( c_Set_Oinsert @ V_a @ ( c_Set_Oinsert @ V_b @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) @ T_a )
!= ( c_Set_Oinsert @ V_c @ ( c_Set_Oinsert @ V_d @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) @ T_a ) )
| ( V_b = V_c )
| ( V_b = V_d ) ) )
= $true ),
inference(unfold_def,[status(thm)],[471]) ).
thf(1032,plain,
( ( ! [V_A: $i,T_a: $i] :
( ( V_A
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) )
| ~ ( c_lessequals @ V_A @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[472]) ).
thf(1033,plain,
( ( ! [T_a: $i] : ( c_lessequals @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[473]) ).
thf(1034,plain,
( ( ! [T_a: $i,V_a: $i,V_A: $i] :
( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) )
!= ( c_Set_Oinsert @ V_a @ V_A @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[474]) ).
thf(1035,plain,
( ( ! [V_f: $i,V_A: $i,T_b: $i,T_a: $i] :
( ( ( c_Set_Oimage @ V_f @ V_A @ T_b @ T_a )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) )
| ( V_A
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_b @ tc_bool ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[475]) ).
thf(1036,plain,
( ( ! [V_A: $i,V_x: $i,T_a: $i] :
( ( V_A
= ( c_Set_Oinsert @ V_x @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) )
| ( V_A
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) )
| ~ ( c_lessequals @ V_A @ ( c_Set_Oinsert @ V_x @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[476]) ).
thf(1037,plain,
( ( ! [T_a: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[477]) ).
thf(1038,plain,
( ( ! [V_x: $i,V_xa: $i,T_a: $i] :
( ( ( c_Set_Oinsert @ V_x @ V_xa @ T_a )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) )
| ( hBOOL @ ( c_in @ V_x @ V_xa @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[478]) ).
thf(1039,plain,
( ( ! [V_b: $i,V_a: $i,T_a: $i] :
( ( V_b = V_a )
| ~ ( hBOOL @ ( c_in @ V_b @ ( c_Set_Oinsert @ V_a @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[479]) ).
thf(1040,plain,
( ( ! [V_x: $i,T_a: $i] : ( hBOOL @ ( c_in @ V_x @ ( c_Set_Oinsert @ V_x @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[480]) ).
thf(1041,plain,
( ( ( hAPP @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ t_a @ tc_bool ) ) @ v_x )
= ( c_in @ v_x @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ t_a @ tc_bool ) ) @ t_a ) )
= $true ),
inference(unfold_def,[status(thm)],[481]) ).
thf(1042,plain,
( ( ! [V_X: $i] :
~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oparts @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[482]) ).
thf(1043,plain,
( ( ! [V_X: $i,V_Y: $i,V_H: $i] :
( ( c_Message_OkeysFor @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ V_H @ tc_Message_Omsg ) )
= ( c_Message_OkeysFor @ V_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[483]) ).
thf(1044,plain,
( ( ! [V_N: $i] :
( ( c_Message_Oparts @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_N @ tc_nat @ tc_Message_Omsg ) )
= ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_N @ tc_nat @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[484]) ).
thf(1045,plain,
( ( ! [V_N: $i] :
( ( c_Message_Oanalz @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_N @ tc_nat @ tc_Message_Omsg ) )
= ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_N @ tc_nat @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[485]) ).
thf(1046,plain,
( ( ! [V_K: $i,V_H: $i] :
( ( c_Message_OkeysFor @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_H @ tc_Message_Omsg ) )
= ( c_Message_OkeysFor @ V_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[486]) ).
thf(1047,plain,
( ( ! [V_A: $i,V_H: $i] :
( ( c_Message_OkeysFor @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ V_A ) @ V_H @ tc_Message_Omsg ) )
= ( c_Message_OkeysFor @ V_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[487]) ).
thf(1048,plain,
( ( ! [V_N: $i,V_H: $i] :
( ( c_Message_OkeysFor @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ V_N ) @ V_H @ tc_Message_Omsg ) )
= ( c_Message_OkeysFor @ V_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[488]) ).
thf(1049,plain,
( ( ! [V_K: $i,V_KK: $i,V_evs: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_KK @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ V_KK @ ( c_HOL_Ouminus__class_Ouminus @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ ( tc_fun @ tc_nat @ tc_bool ) ) @ ( tc_fun @ tc_nat @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[489]) ).
thf(1050,plain,
( ( ! [V_K: $i,V_nE: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_nE @ tc_nat @ tc_Message_Omsg ) @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[490]) ).
thf(1051,plain,
( ( ! [V_K: $i,V_nE: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_nE @ tc_nat @ tc_Message_Omsg ) @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_nE @ tc_nat @ tc_Message_Omsg ) @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[491]) ).
thf(1052,plain,
( ( ! [V_K: $i,V_H: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ V_K @ ( c_Message_OkeysFor @ ( c_Message_Oanalz @ V_H ) ) @ tc_nat ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[492]) ).
thf(1053,plain,
( ( ! [V_K: $i,V_H: $i,V_X: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ V_K ) @ ( c_Message_OkeysFor @ V_H ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[493]) ).
thf(1054,plain,
( ( ! [V_X: $i,V_A: $i,V_evs: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ ( c_Event_Oknows @ V_A @ V_evs ) @ tc_Message_Omsg ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ V_A @ V_evs ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[494]) ).
thf(1055,plain,
( ( ! [V_K: $i,V_H: $i,V_X: $i] :
( ( hBOOL @ ( c_in @ V_K @ ( c_Message_OkeysFor @ V_H ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ V_K @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[495]) ).
thf(1056,plain,
( ( ! [V_K: $i,V_evs: $i,V_KK: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ V_K @ V_KK @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_KK @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ V_KK @ ( c_HOL_Ouminus__class_Ouminus @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ ( tc_fun @ tc_nat @ tc_bool ) ) @ ( tc_fun @ tc_nat @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[496]) ).
thf(1057,plain,
( ( ! [V_K: $i,V_KK: $i,V_evs: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_KK @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_K @ V_KK @ tc_nat ) )
| ~ ( c_lessequals @ V_KK @ ( c_HOL_Ouminus__class_Ouminus @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ ( tc_fun @ tc_nat @ tc_bool ) ) @ ( tc_fun @ tc_nat @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[497]) ).
thf(1058,plain,
( ( ! [V_b: $i,V_c: $i,V_A: $i,V_AS: $i] :
( ( V_b = V_c )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_A ) ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ V_c ) @ V_AS @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[498]) ).
thf(1059,plain,
( ( ! [V_b: $i,V_A: $i,V_c: $i,V_AS: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_A ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ V_c ) @ V_AS @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[499]) ).
thf(1060,plain,
( ( ! [V_X: $i,V_A: $i,V_evs: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Event_OinitState @ V_A ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_OGets @ V_A @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ ( c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1 @ V_A @ V_X @ V_evs ) @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( V_A = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Event_Oknows @ V_A @ V_evs ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[500]) ).
thf(1061,plain,
( ( ! [V_b: $i,V_A: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_A ) ) ) @ ( c_Event_OinitState @ V_A ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[501]) ).
thf(1062,plain,
( ( ! [V_A: $i,T_a: $i] :
( ( V_A
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) )
| ~ ( c_lessequals @ V_A @ ( c_HOL_Ouminus__class_Ouminus @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[502]) ).
thf(1063,plain,
( ( ! [T_a: $i] :
( ( c_HOL_Ouminus__class_Ouminus @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_Orderings_Otop__class_Otop @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[503]) ).
thf(1064,plain,
( ( ! [T_a: $i] :
( ~ ( class_Lattices_Oboolean__algebra @ T_a )
| ( ( c_HOL_Ouminus__class_Ouminus @ ( c_Orderings_Obot__class_Obot @ T_a ) @ T_a )
= ( c_Orderings_Otop__class_Otop @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[504]) ).
thf(1065,plain,
( ( ! [T_b: $i,V_A: $i] :
( ~ ( class_HOL_Ouminus @ T_b )
| ( ( hAPP @ ( c_HOL_Ouminus__class_Ouminus @ V_A @ ( tc_fun @ t_a @ T_b ) ) @ v_x )
= ( c_HOL_Ouminus__class_Ouminus @ ( hAPP @ V_A @ v_x ) @ T_b ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[505]) ).
thf(1066,plain,
( ( ! [V_A: $i,T_a: $i,V_B: $i] :
( ( ( c_HOL_Ouminus__class_Ouminus @ V_A @ ( tc_fun @ T_a @ tc_bool ) )
!= ( c_HOL_Ouminus__class_Ouminus @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) )
| ( V_A = V_B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[506]) ).
thf(1067,plain,
( ( ! [T_a: $i,V_a: $i,V_b: $i] :
( ~ ( class_OrderedGroup_Ogroup__add @ T_a )
| ( ( c_HOL_Ouminus__class_Ouminus @ V_a @ T_a )
!= ( c_HOL_Ouminus__class_Ouminus @ V_b @ T_a ) )
| ( V_a = V_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[507]) ).
thf(1068,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Lattices_Oboolean__algebra @ T_a )
| ( ( c_HOL_Ouminus__class_Ouminus @ V_x @ T_a )
!= ( c_HOL_Ouminus__class_Ouminus @ V_y @ T_a ) )
| ( V_x = V_y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[508]) ).
thf(1069,plain,
( ( ! [T_a: $i] :
( ( c_HOL_Ouminus__class_Ouminus @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[509]) ).
thf(1070,plain,
( ( ! [T_a: $i] :
( ~ ( class_Lattices_Oboolean__algebra @ T_a )
| ( ( c_HOL_Ouminus__class_Ouminus @ ( c_Orderings_Otop__class_Otop @ T_a ) @ T_a )
= ( c_Orderings_Obot__class_Obot @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[510]) ).
thf(1071,plain,
( ( c_Public_Okeymode_OEncryption != c_Public_Okeymode_OSignature )
= $true ),
inference(unfold_def,[status(thm)],[511]) ).
thf(1072,plain,
( ( ! [T_a: $i] : ( c_lessequals @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ ( c_HOL_Ouminus__class_Ouminus @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[512]) ).
thf(1073,plain,
( ( ! [V_A: $i,V_evs: $i] : ( c_lessequals @ ( c_Event_OinitState @ V_A ) @ ( c_Event_Oknows @ V_A @ V_evs ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[513]) ).
thf(1074,plain,
( ( ! [V_A: $i,T_a: $i,V_B: $i] :
( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) @ ( c_HOL_Ouminus__class_Ouminus @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_B @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[514]) ).
thf(1075,plain,
( ( ! [V_B: $i,V_A: $i,T_a: $i] :
( ( c_lessequals @ V_B @ V_A @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) @ ( c_HOL_Ouminus__class_Ouminus @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[515]) ).
thf(1076,plain,
( ( ! [V_B: $i,T_a: $i,V_A: $i] :
( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ ( c_HOL_Ouminus__class_Ouminus @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[516]) ).
thf(1077,plain,
( ( ! [T_a: $i,V_b: $i,V_a: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ T_a )
| ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ V_b @ T_a ) @ ( c_HOL_Ouminus__class_Ouminus @ V_a @ T_a ) @ T_a )
| ~ ( c_lessequals @ V_a @ V_b @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[517]) ).
thf(1078,plain,
( ( ! [T_a: $i,V_a: $i,V_b: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ T_a )
| ( c_lessequals @ V_a @ V_b @ T_a )
| ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ V_b @ T_a ) @ ( c_HOL_Ouminus__class_Ouminus @ V_a @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[518]) ).
thf(1079,plain,
( ( ! [V_P: $i,V_keymode: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_keymode ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ c_Public_Okeymode_OEncryption ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ c_Public_Okeymode_OSignature ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[519]) ).
thf(1080,plain,
( ( ! [V_i: $i] :
( ( c_Event_OinitState @ ( c_Message_Oagent_OFriend @ V_i ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ ( c_Message_Oagent_OFriend @ V_i ) ) ) ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ c_Public_Okeymode_OSignature ) @ ( c_Message_Oagent_OFriend @ V_i ) ) ) ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ ( c_Message_Oagent_OFriend @ V_i ) ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ c_Public_Okeymode_OSignature ) @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[520]) ).
thf(1081,plain,
( ( c_Public_Okeymode_OSignature != c_Public_Okeymode_OEncryption )
= $true ),
inference(unfold_def,[status(thm)],[521]) ).
thf(1082,plain,
( ( ! [V_A: $i,T_a: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_HOL_Ouminus__class_Ouminus @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) @ V_A @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_Orderings_Otop__class_Otop @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[522]) ).
thf(1083,plain,
( ( ! [V_A: $i,T_a: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ ( c_HOL_Ouminus__class_Ouminus @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_Orderings_Otop__class_Otop @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[523]) ).
thf(1084,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_Lattices_Oboolean__algebra @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_HOL_Ouminus__class_Ouminus @ V_x @ T_a ) @ V_x @ T_a )
= ( c_Orderings_Otop__class_Otop @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[524]) ).
thf(1085,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_Lattices_Oboolean__algebra @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ ( c_HOL_Ouminus__class_Ouminus @ V_x @ T_a ) @ T_a )
= ( c_Orderings_Otop__class_Otop @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[525]) ).
thf(1086,plain,
( ( ! [V_G: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_OkeysFor @ V_G ) @ ( c_Message_OkeysFor @ V_H ) @ ( tc_fun @ tc_nat @ tc_bool ) )
| ~ ( c_lessequals @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[526]) ).
thf(1087,plain,
( ( ! [V_A: $i,T_a: $i] :
( ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) )
= V_A ) )
= $true ),
inference(unfold_def,[status(thm)],[527]) ).
thf(1088,plain,
( ( ! [T_a: $i,V_a: $i] :
( ~ ( class_OrderedGroup_Ogroup__add @ T_a )
| ( ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ V_a @ T_a ) @ T_a )
= V_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[528]) ).
thf(1089,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_Lattices_Oboolean__algebra @ T_a )
| ( ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ V_x @ T_a ) @ T_a )
= V_x ) ) )
= $true ),
inference(unfold_def,[status(thm)],[529]) ).
thf(1090,plain,
( ( ! [T_a: $i,V_b: $i] :
( ~ ( class_OrderedGroup_Ogroup__add @ T_a )
| ( V_b
= ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ V_b @ T_a ) @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[530]) ).
thf(1091,plain,
( ( ! [T_a: $i,V_a: $i] :
( ~ ( class_OrderedGroup_Ogroup__add @ T_a )
| ( V_a
= ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ V_a @ T_a ) @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[531]) ).
thf(1092,plain,
( ( ! [T_a: $i,V_b: $i] :
( ~ ( class_OrderedGroup_Ogroup__add @ T_a )
| ( ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ V_b @ T_a ) @ T_a )
= V_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[532]) ).
thf(1093,plain,
( ( ! [T_a: $i,V_b: $i,V_a: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ T_a )
| ( c_lessequals @ V_b @ ( c_HOL_Ouminus__class_Ouminus @ V_a @ T_a ) @ T_a )
| ~ ( c_lessequals @ V_a @ ( c_HOL_Ouminus__class_Ouminus @ V_b @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[533]) ).
thf(1094,plain,
( ( ! [T_a: $i,V_a: $i,V_b: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ T_a )
| ( c_lessequals @ V_a @ ( c_HOL_Ouminus__class_Ouminus @ V_b @ T_a ) @ T_a )
| ~ ( c_lessequals @ V_b @ ( c_HOL_Ouminus__class_Ouminus @ V_a @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[534]) ).
thf(1095,plain,
( ( ! [T_a: $i,V_b: $i,V_a: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ T_a )
| ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ V_b @ T_a ) @ V_a @ T_a )
| ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ V_a @ T_a ) @ V_b @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[535]) ).
thf(1096,plain,
( ( ! [T_a: $i,V_a: $i,V_b: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ T_a )
| ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ V_a @ T_a ) @ V_b @ T_a )
| ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ V_b @ T_a ) @ V_a @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[536]) ).
thf(1097,plain,
( ( ! [V_c: $i,V_A: $i,T_a: $i] :
( ( hBOOL @ ( c_in @ V_c @ ( c_HOL_Ouminus__class_Ouminus @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) )
| ( hBOOL @ ( c_in @ V_c @ V_A @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[537]) ).
thf(1098,plain,
( ( ! [V_c: $i,V_A: $i,T_a: $i] :
( ~ ( hBOOL @ ( c_in @ V_c @ V_A @ T_a ) )
| ~ ( hBOOL @ ( c_in @ V_c @ ( c_HOL_Ouminus__class_Ouminus @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[538]) ).
thf(1099,plain,
( ( ~ ( class_HOL_Ouminus @ t_b )
| ( ( hAPP @ ( c_HOL_Ouminus__class_Ouminus @ v_A @ ( tc_fun @ t_a @ t_b ) ) @ v_x )
= ( c_HOL_Ouminus__class_Ouminus @ ( hAPP @ v_A @ v_x ) @ t_b ) ) )
= $true ),
inference(unfold_def,[status(thm)],[539]) ).
thf(1100,plain,
( ( ! [V_K: $i,V_X: $i,V_B: $i] :
~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Oparts @ ( c_Event_OinitState @ V_B ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[540]) ).
thf(1101,plain,
( ( ! [V_N: $i,V_B: $i] :
~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ V_N ) @ ( c_Message_Oparts @ ( c_Event_OinitState @ V_B ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[541]) ).
thf(1102,plain,
( ( ! [V_A: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ V_A ) ) @ ( c_Event_OinitState @ V_A ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[542]) ).
thf(1103,plain,
( ( ! [V_b: $i,V_A: $i,V_B: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_A ) ) @ ( c_Event_OinitState @ V_B ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[543]) ).
thf(1104,plain,
( ( ! [V_X: $i,V_evs: $i,V_B: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oparts @ ( c_Event_OinitState @ V_B ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[544]) ).
thf(1105,plain,
( ( ! [V_nat_H: $i] :
( ( c_Message_Oagent_OFriend @ V_nat_H )
!= c_Message_Oagent_OServer ) )
= $true ),
inference(unfold_def,[status(thm)],[545]) ).
thf(1106,plain,
( ( ! [V_nat_H: $i] :
( c_Message_Oagent_OServer
!= ( c_Message_Oagent_OFriend @ V_nat_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[546]) ).
thf(1107,plain,
( ( ! [V_nat: $i] :
( c_Message_Oagent_OSpy
!= ( c_Message_Oagent_OFriend @ V_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[547]) ).
thf(1108,plain,
( ( ! [V_nat: $i] :
( ( c_Message_Oagent_OFriend @ V_nat )
!= c_Message_Oagent_OSpy ) )
= $true ),
inference(unfold_def,[status(thm)],[548]) ).
thf(1109,plain,
( ( ! [V_nat: $i,V_nat_H: $i] :
( ( ( c_Message_Oagent_OFriend @ V_nat )
!= ( c_Message_Oagent_OFriend @ V_nat_H ) )
| ( V_nat = V_nat_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[549]) ).
thf(1110,plain,
( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ v_x @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) ) ) ) @ ( c_List_Oset @ v_evsf @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ v_A ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Omsg_OAgent @ v_A ) ) ) ) ) ) ) ) @ ( c_List_Oset @ v_evsf @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(unfold_def,[status(thm)],[552]) ).
thf(1111,plain,
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ v_Ba @ v_X ) @ v_evsf @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) )
= $true ),
inference(unfold_def,[status(thm)],[553]) ).
thf(1112,plain,
( ( ! [V_NB: $i] :
~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ V_NB @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) ) ) ) @ ( c_List_Oset @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ v_Ba @ v_X ) @ v_evsf @ tc_Event_Oevent ) @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(unfold_def,[status(thm)],[554]) ).
thf(1113,plain,
( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ v_A ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Omsg_OAgent @ v_A ) ) ) ) ) ) ) ) @ ( c_List_Oset @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ v_Ba @ v_X ) @ v_evsf @ tc_Event_Oevent ) @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ),
inference(unfold_def,[status(thm)],[555]) ).
thf(1114,plain,
( ( hBOOL @ ( c_in @ v_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf ) ) ) @ tc_Message_Omsg ) )
= $true ),
inference(unfold_def,[status(thm)],[556]) ).
thf(1115,plain,
( ( hBOOL @ ( c_in @ v_evsf @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ),
inference(unfold_def,[status(thm)],[557]) ).
thf(1116,plain,
( ( ~ ( hBOOL @ ( c_in @ v_B @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true ),
inference(unfold_def,[status(thm)],[558]) ).
thf(1117,plain,
( ( ~ ( hBOOL @ ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true ),
inference(unfold_def,[status(thm)],[559]) ).
thf(1118,plain,
( ( ~ $false ) = $true ),
inference(polarity_switch,[status(thm)],[560]) ).
thf(1119,plain,
( ( ~ ( hBOOL @ ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true ),
inference(copy,[status(thm)],[1117]) ).
thf(1120,plain,
( ( ~ ( hBOOL @ ( c_in @ v_B @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true ),
inference(copy,[status(thm)],[1116]) ).
thf(1121,plain,
( ( hBOOL @ ( c_in @ v_evsf @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ),
inference(copy,[status(thm)],[1115]) ).
thf(1122,plain,
( ( hBOOL @ ( c_in @ v_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf ) ) ) @ tc_Message_Omsg ) )
= $true ),
inference(copy,[status(thm)],[1114]) ).
thf(1123,plain,
( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ v_A ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Omsg_OAgent @ v_A ) ) ) ) ) ) ) ) @ ( c_List_Oset @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ v_Ba @ v_X ) @ v_evsf @ tc_Event_Oevent ) @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ),
inference(copy,[status(thm)],[1113]) ).
thf(1124,plain,
( ( ! [V_NB: $i] :
~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ V_NB @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) ) ) ) @ ( c_List_Oset @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ v_Ba @ v_X ) @ v_evsf @ tc_Event_Oevent ) @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(copy,[status(thm)],[1112]) ).
thf(1125,plain,
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ v_Ba @ v_X ) @ v_evsf @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) )
= $true ),
inference(copy,[status(thm)],[1111]) ).
thf(1126,plain,
( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ v_x @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) ) ) ) @ ( c_List_Oset @ v_evsf @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ v_A ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Omsg_OAgent @ v_A ) ) ) ) ) ) ) ) @ ( c_List_Oset @ v_evsf @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(copy,[status(thm)],[1110]) ).
thf(1127,plain,
( ( ! [V_nat: $i,V_nat_H: $i] :
( ( ( c_Message_Oagent_OFriend @ V_nat )
!= ( c_Message_Oagent_OFriend @ V_nat_H ) )
| ( V_nat = V_nat_H ) ) )
= $true ),
inference(copy,[status(thm)],[1109]) ).
thf(1128,plain,
( ( ! [V_nat: $i] :
( ( c_Message_Oagent_OFriend @ V_nat )
!= c_Message_Oagent_OSpy ) )
= $true ),
inference(copy,[status(thm)],[1108]) ).
thf(1129,plain,
( ( ! [V_nat: $i] :
( c_Message_Oagent_OSpy
!= ( c_Message_Oagent_OFriend @ V_nat ) ) )
= $true ),
inference(copy,[status(thm)],[1107]) ).
thf(1130,plain,
( ( ! [V_nat_H: $i] :
( c_Message_Oagent_OServer
!= ( c_Message_Oagent_OFriend @ V_nat_H ) ) )
= $true ),
inference(copy,[status(thm)],[1106]) ).
thf(1131,plain,
( ( ! [V_nat_H: $i] :
( ( c_Message_Oagent_OFriend @ V_nat_H )
!= c_Message_Oagent_OServer ) )
= $true ),
inference(copy,[status(thm)],[1105]) ).
thf(1132,plain,
( ( ! [V_X: $i,V_evs: $i,V_B: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oparts @ ( c_Event_OinitState @ V_B ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[1104]) ).
thf(1133,plain,
( ( ! [V_b: $i,V_A: $i,V_B: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_A ) ) @ ( c_Event_OinitState @ V_B ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[1103]) ).
thf(1134,plain,
( ( ! [V_A: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ V_A ) ) @ ( c_Event_OinitState @ V_A ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[1102]) ).
thf(1135,plain,
( ( ! [V_N: $i,V_B: $i] :
~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ V_N ) @ ( c_Message_Oparts @ ( c_Event_OinitState @ V_B ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[1101]) ).
thf(1136,plain,
( ( ! [V_K: $i,V_X: $i,V_B: $i] :
~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Oparts @ ( c_Event_OinitState @ V_B ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[1100]) ).
thf(1137,plain,
( ( ~ ( class_HOL_Ouminus @ t_b )
| ( ( hAPP @ ( c_HOL_Ouminus__class_Ouminus @ v_A @ ( tc_fun @ t_a @ t_b ) ) @ v_x )
= ( c_HOL_Ouminus__class_Ouminus @ ( hAPP @ v_A @ v_x ) @ t_b ) ) )
= $true ),
inference(copy,[status(thm)],[1099]) ).
thf(1138,plain,
( ( ! [V_c: $i,V_A: $i,T_a: $i] :
( ~ ( hBOOL @ ( c_in @ V_c @ V_A @ T_a ) )
| ~ ( hBOOL @ ( c_in @ V_c @ ( c_HOL_Ouminus__class_Ouminus @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[1098]) ).
thf(1139,plain,
( ( ! [V_c: $i,V_A: $i,T_a: $i] :
( ( hBOOL @ ( c_in @ V_c @ ( c_HOL_Ouminus__class_Ouminus @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) )
| ( hBOOL @ ( c_in @ V_c @ V_A @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[1097]) ).
thf(1140,plain,
( ( ! [T_a: $i,V_a: $i,V_b: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ T_a )
| ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ V_a @ T_a ) @ V_b @ T_a )
| ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ V_b @ T_a ) @ V_a @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1096]) ).
thf(1141,plain,
( ( ! [T_a: $i,V_b: $i,V_a: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ T_a )
| ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ V_b @ T_a ) @ V_a @ T_a )
| ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ V_a @ T_a ) @ V_b @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1095]) ).
thf(1142,plain,
( ( ! [T_a: $i,V_a: $i,V_b: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ T_a )
| ( c_lessequals @ V_a @ ( c_HOL_Ouminus__class_Ouminus @ V_b @ T_a ) @ T_a )
| ~ ( c_lessequals @ V_b @ ( c_HOL_Ouminus__class_Ouminus @ V_a @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1094]) ).
thf(1143,plain,
( ( ! [T_a: $i,V_b: $i,V_a: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ T_a )
| ( c_lessequals @ V_b @ ( c_HOL_Ouminus__class_Ouminus @ V_a @ T_a ) @ T_a )
| ~ ( c_lessequals @ V_a @ ( c_HOL_Ouminus__class_Ouminus @ V_b @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1093]) ).
thf(1144,plain,
( ( ! [T_a: $i,V_b: $i] :
( ~ ( class_OrderedGroup_Ogroup__add @ T_a )
| ( ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ V_b @ T_a ) @ T_a )
= V_b ) ) )
= $true ),
inference(copy,[status(thm)],[1092]) ).
thf(1145,plain,
( ( ! [T_a: $i,V_a: $i] :
( ~ ( class_OrderedGroup_Ogroup__add @ T_a )
| ( V_a
= ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ V_a @ T_a ) @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[1091]) ).
thf(1146,plain,
( ( ! [T_a: $i,V_b: $i] :
( ~ ( class_OrderedGroup_Ogroup__add @ T_a )
| ( V_b
= ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ V_b @ T_a ) @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[1090]) ).
thf(1147,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_Lattices_Oboolean__algebra @ T_a )
| ( ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ V_x @ T_a ) @ T_a )
= V_x ) ) )
= $true ),
inference(copy,[status(thm)],[1089]) ).
thf(1148,plain,
( ( ! [T_a: $i,V_a: $i] :
( ~ ( class_OrderedGroup_Ogroup__add @ T_a )
| ( ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ V_a @ T_a ) @ T_a )
= V_a ) ) )
= $true ),
inference(copy,[status(thm)],[1088]) ).
thf(1149,plain,
( ( ! [V_A: $i,T_a: $i] :
( ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) )
= V_A ) )
= $true ),
inference(copy,[status(thm)],[1087]) ).
thf(1150,plain,
( ( ! [V_G: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_OkeysFor @ V_G ) @ ( c_Message_OkeysFor @ V_H ) @ ( tc_fun @ tc_nat @ tc_bool ) )
| ~ ( c_lessequals @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[1086]) ).
thf(1151,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_Lattices_Oboolean__algebra @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ ( c_HOL_Ouminus__class_Ouminus @ V_x @ T_a ) @ T_a )
= ( c_Orderings_Otop__class_Otop @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[1085]) ).
thf(1152,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_Lattices_Oboolean__algebra @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_HOL_Ouminus__class_Ouminus @ V_x @ T_a ) @ V_x @ T_a )
= ( c_Orderings_Otop__class_Otop @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[1084]) ).
thf(1153,plain,
( ( ! [V_A: $i,T_a: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ ( c_HOL_Ouminus__class_Ouminus @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_Orderings_Otop__class_Otop @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[1083]) ).
thf(1154,plain,
( ( ! [V_A: $i,T_a: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_HOL_Ouminus__class_Ouminus @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) @ V_A @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_Orderings_Otop__class_Otop @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[1082]) ).
thf(1155,plain,
( ( c_Public_Okeymode_OSignature != c_Public_Okeymode_OEncryption )
= $true ),
inference(copy,[status(thm)],[1081]) ).
thf(1156,plain,
( ( ! [V_i: $i] :
( ( c_Event_OinitState @ ( c_Message_Oagent_OFriend @ V_i ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ ( c_Message_Oagent_OFriend @ V_i ) ) ) ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ c_Public_Okeymode_OSignature ) @ ( c_Message_Oagent_OFriend @ V_i ) ) ) ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ ( c_Message_Oagent_OFriend @ V_i ) ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ c_Public_Okeymode_OSignature ) @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[1080]) ).
thf(1157,plain,
( ( ! [V_P: $i,V_keymode: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_keymode ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ c_Public_Okeymode_OEncryption ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ c_Public_Okeymode_OSignature ) ) ) )
= $true ),
inference(copy,[status(thm)],[1079]) ).
thf(1158,plain,
( ( ! [T_a: $i,V_a: $i,V_b: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ T_a )
| ( c_lessequals @ V_a @ V_b @ T_a )
| ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ V_b @ T_a ) @ ( c_HOL_Ouminus__class_Ouminus @ V_a @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1078]) ).
thf(1159,plain,
( ( ! [T_a: $i,V_b: $i,V_a: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ T_a )
| ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ V_b @ T_a ) @ ( c_HOL_Ouminus__class_Ouminus @ V_a @ T_a ) @ T_a )
| ~ ( c_lessequals @ V_a @ V_b @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1077]) ).
thf(1160,plain,
( ( ! [V_B: $i,T_a: $i,V_A: $i] :
( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ ( c_HOL_Ouminus__class_Ouminus @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[1076]) ).
thf(1161,plain,
( ( ! [V_B: $i,V_A: $i,T_a: $i] :
( ( c_lessequals @ V_B @ V_A @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) @ ( c_HOL_Ouminus__class_Ouminus @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[1075]) ).
thf(1162,plain,
( ( ! [V_A: $i,T_a: $i,V_B: $i] :
( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) @ ( c_HOL_Ouminus__class_Ouminus @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_B @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[1074]) ).
thf(1163,plain,
( ( ! [V_A: $i,V_evs: $i] : ( c_lessequals @ ( c_Event_OinitState @ V_A ) @ ( c_Event_Oknows @ V_A @ V_evs ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[1073]) ).
thf(1164,plain,
( ( ! [T_a: $i] : ( c_lessequals @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ ( c_HOL_Ouminus__class_Ouminus @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[1072]) ).
thf(1165,plain,
( ( c_Public_Okeymode_OEncryption != c_Public_Okeymode_OSignature )
= $true ),
inference(copy,[status(thm)],[1071]) ).
thf(1166,plain,
( ( ! [T_a: $i] :
( ~ ( class_Lattices_Oboolean__algebra @ T_a )
| ( ( c_HOL_Ouminus__class_Ouminus @ ( c_Orderings_Otop__class_Otop @ T_a ) @ T_a )
= ( c_Orderings_Obot__class_Obot @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[1070]) ).
thf(1167,plain,
( ( ! [T_a: $i] :
( ( c_HOL_Ouminus__class_Ouminus @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[1069]) ).
thf(1168,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Lattices_Oboolean__algebra @ T_a )
| ( ( c_HOL_Ouminus__class_Ouminus @ V_x @ T_a )
!= ( c_HOL_Ouminus__class_Ouminus @ V_y @ T_a ) )
| ( V_x = V_y ) ) )
= $true ),
inference(copy,[status(thm)],[1068]) ).
thf(1169,plain,
( ( ! [T_a: $i,V_a: $i,V_b: $i] :
( ~ ( class_OrderedGroup_Ogroup__add @ T_a )
| ( ( c_HOL_Ouminus__class_Ouminus @ V_a @ T_a )
!= ( c_HOL_Ouminus__class_Ouminus @ V_b @ T_a ) )
| ( V_a = V_b ) ) )
= $true ),
inference(copy,[status(thm)],[1067]) ).
thf(1170,plain,
( ( ! [V_A: $i,T_a: $i,V_B: $i] :
( ( ( c_HOL_Ouminus__class_Ouminus @ V_A @ ( tc_fun @ T_a @ tc_bool ) )
!= ( c_HOL_Ouminus__class_Ouminus @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) )
| ( V_A = V_B ) ) )
= $true ),
inference(copy,[status(thm)],[1066]) ).
thf(1171,plain,
( ( ! [T_b: $i,V_A: $i] :
( ~ ( class_HOL_Ouminus @ T_b )
| ( ( hAPP @ ( c_HOL_Ouminus__class_Ouminus @ V_A @ ( tc_fun @ t_a @ T_b ) ) @ v_x )
= ( c_HOL_Ouminus__class_Ouminus @ ( hAPP @ V_A @ v_x ) @ T_b ) ) ) )
= $true ),
inference(copy,[status(thm)],[1065]) ).
thf(1172,plain,
( ( ! [T_a: $i] :
( ~ ( class_Lattices_Oboolean__algebra @ T_a )
| ( ( c_HOL_Ouminus__class_Ouminus @ ( c_Orderings_Obot__class_Obot @ T_a ) @ T_a )
= ( c_Orderings_Otop__class_Otop @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[1064]) ).
thf(1173,plain,
( ( ! [T_a: $i] :
( ( c_HOL_Ouminus__class_Ouminus @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_Orderings_Otop__class_Otop @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[1063]) ).
thf(1174,plain,
( ( ! [V_A: $i,T_a: $i] :
( ( V_A
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) )
| ~ ( c_lessequals @ V_A @ ( c_HOL_Ouminus__class_Ouminus @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[1062]) ).
thf(1175,plain,
( ( ! [V_b: $i,V_A: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_A ) ) ) @ ( c_Event_OinitState @ V_A ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[1061]) ).
thf(1176,plain,
( ( ! [V_X: $i,V_A: $i,V_evs: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Event_OinitState @ V_A ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_OGets @ V_A @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ ( c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1 @ V_A @ V_X @ V_evs ) @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( V_A = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Event_Oknows @ V_A @ V_evs ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[1060]) ).
thf(1177,plain,
( ( ! [V_b: $i,V_A: $i,V_c: $i,V_AS: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_A ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ V_c ) @ V_AS @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(copy,[status(thm)],[1059]) ).
thf(1178,plain,
( ( ! [V_b: $i,V_c: $i,V_A: $i,V_AS: $i] :
( ( V_b = V_c )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_A ) ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ V_c ) @ V_AS @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ) ) )
= $true ),
inference(copy,[status(thm)],[1058]) ).
thf(1179,plain,
( ( ! [V_K: $i,V_KK: $i,V_evs: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_KK @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_K @ V_KK @ tc_nat ) )
| ~ ( c_lessequals @ V_KK @ ( c_HOL_Ouminus__class_Ouminus @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ ( tc_fun @ tc_nat @ tc_bool ) ) @ ( tc_fun @ tc_nat @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1057]) ).
thf(1180,plain,
( ( ! [V_K: $i,V_evs: $i,V_KK: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ V_K @ V_KK @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_KK @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ V_KK @ ( c_HOL_Ouminus__class_Ouminus @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ ( tc_fun @ tc_nat @ tc_bool ) ) @ ( tc_fun @ tc_nat @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1056]) ).
thf(1181,plain,
( ( ! [V_K: $i,V_H: $i,V_X: $i] :
( ( hBOOL @ ( c_in @ V_K @ ( c_Message_OkeysFor @ V_H ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ V_K @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[1055]) ).
thf(1182,plain,
( ( ! [V_X: $i,V_A: $i,V_evs: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ ( c_Event_Oknows @ V_A @ V_evs ) @ tc_Message_Omsg ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ V_A @ V_evs ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[1054]) ).
thf(1183,plain,
( ( ! [V_K: $i,V_H: $i,V_X: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ V_K ) @ ( c_Message_OkeysFor @ V_H ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[1053]) ).
thf(1184,plain,
( ( ! [V_K: $i,V_H: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ V_K @ ( c_Message_OkeysFor @ ( c_Message_Oanalz @ V_H ) ) @ tc_nat ) ) ) )
= $true ),
inference(copy,[status(thm)],[1052]) ).
thf(1185,plain,
( ( ! [V_K: $i,V_nE: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_nE @ tc_nat @ tc_Message_Omsg ) @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_nE @ tc_nat @ tc_Message_Omsg ) @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[1051]) ).
thf(1186,plain,
( ( ! [V_K: $i,V_nE: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_nE @ tc_nat @ tc_Message_Omsg ) @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[1050]) ).
thf(1187,plain,
( ( ! [V_K: $i,V_KK: $i,V_evs: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_KK @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ V_KK @ ( c_HOL_Ouminus__class_Ouminus @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ ( tc_fun @ tc_nat @ tc_bool ) ) @ ( tc_fun @ tc_nat @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1049]) ).
thf(1188,plain,
( ( ! [V_N: $i,V_H: $i] :
( ( c_Message_OkeysFor @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ V_N ) @ V_H @ tc_Message_Omsg ) )
= ( c_Message_OkeysFor @ V_H ) ) )
= $true ),
inference(copy,[status(thm)],[1048]) ).
thf(1189,plain,
( ( ! [V_A: $i,V_H: $i] :
( ( c_Message_OkeysFor @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ V_A ) @ V_H @ tc_Message_Omsg ) )
= ( c_Message_OkeysFor @ V_H ) ) )
= $true ),
inference(copy,[status(thm)],[1047]) ).
thf(1190,plain,
( ( ! [V_K: $i,V_H: $i] :
( ( c_Message_OkeysFor @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_H @ tc_Message_Omsg ) )
= ( c_Message_OkeysFor @ V_H ) ) )
= $true ),
inference(copy,[status(thm)],[1046]) ).
thf(1191,plain,
( ( ! [V_N: $i] :
( ( c_Message_Oanalz @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_N @ tc_nat @ tc_Message_Omsg ) )
= ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_N @ tc_nat @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[1045]) ).
thf(1192,plain,
( ( ! [V_N: $i] :
( ( c_Message_Oparts @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_N @ tc_nat @ tc_Message_Omsg ) )
= ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_N @ tc_nat @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[1044]) ).
thf(1193,plain,
( ( ! [V_X: $i,V_Y: $i,V_H: $i] :
( ( c_Message_OkeysFor @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ V_H @ tc_Message_Omsg ) )
= ( c_Message_OkeysFor @ V_H ) ) )
= $true ),
inference(copy,[status(thm)],[1043]) ).
thf(1194,plain,
( ( ! [V_X: $i] :
~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oparts @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[1042]) ).
thf(1195,plain,
( ( ( hAPP @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ t_a @ tc_bool ) ) @ v_x )
= ( c_in @ v_x @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ t_a @ tc_bool ) ) @ t_a ) )
= $true ),
inference(copy,[status(thm)],[1041]) ).
thf(1196,plain,
( ( ! [V_x: $i,T_a: $i] : ( hBOOL @ ( c_in @ V_x @ ( c_Set_Oinsert @ V_x @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1040]) ).
thf(1197,plain,
( ( ! [V_b: $i,V_a: $i,T_a: $i] :
( ( V_b = V_a )
| ~ ( hBOOL @ ( c_in @ V_b @ ( c_Set_Oinsert @ V_a @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[1039]) ).
thf(1198,plain,
( ( ! [V_x: $i,V_xa: $i,T_a: $i] :
( ( ( c_Set_Oinsert @ V_x @ V_xa @ T_a )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) )
| ( hBOOL @ ( c_in @ V_x @ V_xa @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[1038]) ).
thf(1199,plain,
( ( ! [T_a: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[1037]) ).
thf(1200,plain,
( ( ! [V_A: $i,V_x: $i,T_a: $i] :
( ( V_A
= ( c_Set_Oinsert @ V_x @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) )
| ( V_A
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) )
| ~ ( c_lessequals @ V_A @ ( c_Set_Oinsert @ V_x @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[1036]) ).
thf(1201,plain,
( ( ! [V_f: $i,V_A: $i,T_b: $i,T_a: $i] :
( ( ( c_Set_Oimage @ V_f @ V_A @ T_b @ T_a )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) )
| ( V_A
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_b @ tc_bool ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1035]) ).
thf(1202,plain,
( ( ! [T_a: $i,V_a: $i,V_A: $i] :
( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) )
!= ( c_Set_Oinsert @ V_a @ V_A @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1034]) ).
thf(1203,plain,
( ( ! [T_a: $i] : ( c_lessequals @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[1033]) ).
thf(1204,plain,
( ( ! [V_A: $i,T_a: $i] :
( ( V_A
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) )
| ~ ( c_lessequals @ V_A @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[1032]) ).
thf(1205,plain,
( ( ! [V_a: $i,V_b: $i,T_a: $i,V_c: $i,V_d: $i] :
( ( ( c_Set_Oinsert @ V_a @ ( c_Set_Oinsert @ V_b @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) @ T_a )
!= ( c_Set_Oinsert @ V_c @ ( c_Set_Oinsert @ V_d @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) @ T_a ) )
| ( V_b = V_c )
| ( V_b = V_d ) ) )
= $true ),
inference(copy,[status(thm)],[1031]) ).
thf(1206,plain,
( ( ! [V_a: $i,V_b: $i,T_a: $i,V_c: $i,V_d: $i] :
( ( ( c_Set_Oinsert @ V_a @ ( c_Set_Oinsert @ V_b @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) @ T_a )
!= ( c_Set_Oinsert @ V_c @ ( c_Set_Oinsert @ V_d @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) @ T_a ) )
| ( V_a = V_d )
| ( V_b = V_d ) ) )
= $true ),
inference(copy,[status(thm)],[1030]) ).
thf(1207,plain,
( ( ! [V_a: $i,V_b: $i,T_a: $i,V_c: $i,V_d: $i] :
( ( ( c_Set_Oinsert @ V_a @ ( c_Set_Oinsert @ V_b @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) @ T_a )
!= ( c_Set_Oinsert @ V_c @ ( c_Set_Oinsert @ V_d @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) @ T_a ) )
| ( V_b = V_c )
| ( V_a = V_c ) ) )
= $true ),
inference(copy,[status(thm)],[1029]) ).
thf(1208,plain,
( ( ! [V_a: $i,V_b: $i,T_a: $i,V_c: $i,V_d: $i] :
( ( ( c_Set_Oinsert @ V_a @ ( c_Set_Oinsert @ V_b @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) @ T_a )
!= ( c_Set_Oinsert @ V_c @ ( c_Set_Oinsert @ V_d @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) @ T_a ) )
| ( V_a = V_d )
| ( V_a = V_c ) ) )
= $true ),
inference(copy,[status(thm)],[1028]) ).
thf(1209,plain,
( ( ( c_Event_OinitState @ c_Message_Oagent_OServer )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ c_Message_Oagent_OServer ) ) ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ c_Public_Okeymode_OSignature ) @ c_Message_Oagent_OServer ) ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ c_Public_Okeymode_OSignature ) @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[1027]) ).
thf(1210,plain,
( ( ( c_Event_OinitState @ c_Message_Oagent_OSpy )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ c_Event_Obad @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ c_Public_Okeymode_OSignature ) @ c_Event_Obad @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ c_Public_OshrK @ c_Event_Obad @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ c_Public_Okeymode_OSignature ) @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[1026]) ).
thf(1211,plain,
( ( ! [T_a: $i] :
( ( c_Orderings_Otop__class_Otop @ ( tc_fun @ T_a @ tc_bool ) )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[1025]) ).
thf(1212,plain,
( ( ! [T_a: $i,V_x: $i] :
~ ( hBOOL @ ( hAPP @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ V_x ) ) )
= $true ),
inference(copy,[status(thm)],[1024]) ).
thf(1213,plain,
( ( ! [V_A: $i,T_a: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) )
= V_A ) )
= $true ),
inference(copy,[status(thm)],[1023]) ).
thf(1214,plain,
( ( ! [T_a: $i,V_B: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
= V_B ) )
= $true ),
inference(copy,[status(thm)],[1022]) ).
thf(1215,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_Lattices_Obounded__lattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Obot__class_Obot @ T_a ) @ V_x @ T_a )
= V_x ) ) )
= $true ),
inference(copy,[status(thm)],[1021]) ).
thf(1216,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_Lattices_Obounded__lattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ ( c_Orderings_Obot__class_Obot @ T_a ) @ T_a )
= V_x ) ) )
= $true ),
inference(copy,[status(thm)],[1020]) ).
thf(1217,plain,
( ( ! [V_a: $i,V_A: $i,T_a: $i] :
( ( c_Set_Oinsert @ V_a @ V_A @ T_a )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[1019]) ).
thf(1218,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_Orderings_Obot @ T_a )
| ( c_lessequals @ ( c_Orderings_Obot__class_Obot @ T_a ) @ V_x @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1018]) ).
thf(1219,plain,
( ( ! [T_a: $i,V_A: $i] : ( c_lessequals @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[1017]) ).
thf(1220,plain,
( ( ! [T_a: $i,V_f: $i,V_A: $i,T_b: $i] :
( ( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) )
!= ( c_Set_Oimage @ V_f @ V_A @ T_b @ T_a ) )
| ( V_A
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_b @ tc_bool ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1016]) ).
thf(1221,plain,
( ( ! [T_b: $i] :
( ~ ( class_Orderings_Obot @ T_b )
| ( ( hAPP @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ t_a @ T_b ) ) @ v_x )
= ( c_Orderings_Obot__class_Obot @ T_b ) ) ) )
= $true ),
inference(copy,[status(thm)],[1015]) ).
thf(1222,plain,
( ( ! [V_xa: $i,V_x: $i,T_a: $i] :
( ( c_Set_Oinsert @ V_xa @ ( c_Set_Oinsert @ V_x @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) @ T_a )
= ( c_Set_Oinsert @ V_x @ ( c_Set_Oinsert @ V_xa @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1014]) ).
thf(1223,plain,
( ( ! [V_f: $i,T_b: $i,T_a: $i] :
( ( c_Set_Oimage @ V_f @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_b @ tc_bool ) ) @ T_b @ T_a )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[1013]) ).
thf(1224,plain,
( ( ! [V_x: $i,V_A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ V_x ) @ ( c_Set_Oimage @ c_Message_OinvKey @ V_A @ tc_nat @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ V_x @ V_A @ tc_nat ) ) ) )
= $true ),
inference(copy,[status(thm)],[1012]) ).
thf(1225,plain,
( ( ! [V_x: $i,V_A: $i] :
( ( hBOOL @ ( c_in @ V_x @ V_A @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ V_x ) @ ( c_Set_Oimage @ c_Message_OinvKey @ V_A @ tc_nat @ tc_nat ) @ tc_nat ) ) ) )
= $true ),
inference(copy,[status(thm)],[1011]) ).
thf(1226,plain,
( ( ! [V_a: $i,T_a: $i,V_b: $i] :
( ( ( c_Set_Oinsert @ V_a @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a )
!= ( c_Set_Oinsert @ V_b @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) )
| ( V_a = V_b ) ) )
= $true ),
inference(copy,[status(thm)],[1010]) ).
thf(1227,plain,
( ( ( c_Message_Oparts @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[1009]) ).
thf(1228,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) )
| ( V_B
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1008]) ).
thf(1229,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) )
| ( V_A
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[1007]) ).
thf(1230,plain,
( ( ! [T_a: $i,V_A: $i,V_B: $i] :
( ~ ( class_Lattices_Obounded__lattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ T_a )
!= ( c_Orderings_Obot__class_Obot @ T_a ) )
| ( V_A
= ( c_Orderings_Obot__class_Obot @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[1006]) ).
thf(1231,plain,
( ( ! [T_a: $i,V_A: $i,V_B: $i] :
( ~ ( class_Lattices_Obounded__lattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ T_a )
!= ( c_Orderings_Obot__class_Obot @ T_a ) )
| ( V_B
= ( c_Orderings_Obot__class_Obot @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[1005]) ).
thf(1232,plain,
( ( ! [V_a: $i,V_A: $i,T_a: $i] :
( ( c_Set_Oinsert @ V_a @ V_A @ T_a )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oinsert @ V_a @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[1004]) ).
thf(1233,plain,
( ( ! [T_a: $i,V_f: $i,T_b: $i] :
( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_Set_Oimage @ V_f @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_b @ tc_bool ) ) @ T_b @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1003]) ).
thf(1234,plain,
( ( ! [V_x: $i,T_a: $i] :
~ ( hBOOL @ ( c_in @ V_x @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1002]) ).
thf(1235,plain,
( ( ! [V_P: $i,V_x: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_P @ V_x ) )
| ~ ( hBOOL @ ( c_in @ V_x @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[1001]) ).
thf(1236,plain,
( ( ! [V_c: $i,T_a: $i] :
~ ( hBOOL @ ( c_in @ V_c @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1000]) ).
thf(1237,plain,
( ( ! [V_a: $i,T_a: $i] :
~ ( hBOOL @ ( c_in @ V_a @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[999]) ).
thf(1238,plain,
( ( ! [V_P: $i,V_x: $i,T_a: $i] :
( ~ ( hBOOL @ ( hAPP @ V_P @ V_x ) )
| ~ ( hBOOL @ ( c_in @ V_x @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[998]) ).
thf(1239,plain,
( ( ( c_Message_Oanalz @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[997]) ).
thf(1240,plain,
( ( ! [V_K: $i,V_X: $i,V_A: $i] :
~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_A @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[996]) ).
thf(1241,plain,
( ( ! [V_x: $i,V_A: $i] :
( ( hBOOL @ ( c_in @ V_x @ V_A @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_x ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_A @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[995]) ).
thf(1242,plain,
( ( ! [V_x: $i,V_A: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_x ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_A @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_x @ V_A @ tc_nat ) ) ) )
= $true ),
inference(copy,[status(thm)],[994]) ).
thf(1243,plain,
( ( ! [V_x: $i,V_A: $i] :
~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ V_x ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_A @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[993]) ).
thf(1244,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[992]) ).
thf(1245,plain,
( ( ! [V_X: $i,V_Y: $i,V_H: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ ( c_Set_Oinsert @ V_Y @ V_H @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_Y @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[991]) ).
thf(1246,plain,
( ( ! [V_A: $i,V_B: $i] :
( ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ V_A ) )
!= ( hAPP @ c_Public_OshrK @ V_B ) ) )
= $true ),
inference(copy,[status(thm)],[990]) ).
thf(1247,plain,
( ( ! [V_A: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ V_A ) ) @ c_Message_OsymKeys @ tc_nat ) ) )
= $true ),
inference(copy,[status(thm)],[989]) ).
thf(1248,plain,
( ( ! [V_K: $i,V_nE: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_nE @ tc_nat @ tc_Message_Omsg ) @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_K @ V_nE @ tc_nat ) ) ) )
= $true ),
inference(copy,[status(thm)],[988]) ).
thf(1249,plain,
( ( ! [V_K: $i,V_nE: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_nE @ tc_nat @ tc_Message_Omsg ) @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_K @ V_nE @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[987]) ).
thf(1250,plain,
( ( ! [V_K: $i,V_nE: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_nE @ tc_nat @ tc_Message_Omsg ) @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_K @ V_nE @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_nE @ tc_nat @ tc_Message_Omsg ) @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[986]) ).
thf(1251,plain,
( ( ! [V_K: $i,V_nE: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ V_nE @ tc_nat @ tc_Message_Omsg ) @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_K @ V_nE @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ V_K @ V_nE @ tc_nat ) ) ) )
= $true ),
inference(copy,[status(thm)],[985]) ).
thf(1252,plain,
( ( ! [V_X: $i,V_evs: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Event_Oused @ V_evs ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[984]) ).
thf(1253,plain,
( ( ! [V_X: $i,V_evs: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[983]) ).
thf(1254,plain,
( ( ! [V_x: $i,V_b: $i,V_AA: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ V_x ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ V_b ) @ V_AA @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(copy,[status(thm)],[982]) ).
thf(1255,plain,
( ( ! [V_A: $i,V_AS: $i,V_b: $i,V_c: $i] :
( ( hBOOL @ ( c_in @ V_A @ V_AS @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_A ) ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ V_c ) @ V_AS @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ) ) )
= $true ),
inference(copy,[status(thm)],[981]) ).
thf(1256,plain,
( ( ! [V_x: $i,V_A: $i,V_AS: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ V_x ) @ V_A ) ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ V_x ) @ V_AS @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ V_A @ V_AS @ tc_Message_Oagent ) ) ) )
= $true ),
inference(copy,[status(thm)],[980]) ).
thf(1257,plain,
( ( ! [V_c: $i,V_H: $i,V_X: $i] :
( ( hBOOL @ ( c_in @ V_c @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[979]) ).
thf(1258,plain,
( ( ! [V_A: $i,V_B: $i,V_X: $i,V_evs: $i] :
( ( c_Event_Oused @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Event_Oused @ V_evs ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[978]) ).
thf(1259,plain,
( ( ! [V_A: $i,V_X: $i,V_evs: $i] :
( ( c_Event_Oused @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Event_Oused @ V_evs ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[977]) ).
thf(1260,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[976]) ).
thf(1261,plain,
( ( ! [V_K: $i,V_H: $i,V_G: $i,V_X: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ V_K ) ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ V_K @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_K @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ V_G @ tc_Message_Omsg ) ) ) @ tc_nat ) ) ) )
= $true ),
inference(copy,[status(thm)],[975]) ).
thf(1262,plain,
( ( ! [V_K: $i,V_evs: $i] :
( ~ ( hBOOL @ ( c_in @ V_K @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ V_K @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[974]) ).
thf(1263,plain,
( ( ! [V_f: $i,V_A: $i,T_b: $i,T_a: $i,V_B: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ V_f @ V_A @ T_b @ T_a ) @ ( c_Set_Oimage @ V_f @ V_B @ T_b @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_Set_Oimage @ V_f @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_b @ tc_bool ) ) @ T_b @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[973]) ).
thf(1264,plain,
( ( ! [V_f: $i,V_a: $i,V_B: $i,T_b: $i,T_a: $i] :
( ( c_Set_Oimage @ V_f @ ( c_Set_Oinsert @ V_a @ V_B @ T_b ) @ T_b @ T_a )
= ( c_Set_Oinsert @ ( hAPP @ V_f @ V_a ) @ ( c_Set_Oimage @ V_f @ V_B @ T_b @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[972]) ).
thf(1265,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i,V_C: $i,V_D: $i] :
( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_C @ V_D @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_B @ V_D @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_C @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[971]) ).
thf(1266,plain,
( ( ! [V_A: $i,T_a: $i] : ( c_lessequals @ V_A @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[970]) ).
thf(1267,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_Orderings_Otop @ T_a )
| ( c_lessequals @ V_x @ ( c_Orderings_Otop__class_Otop @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[969]) ).
thf(1268,plain,
( ( ! [V_b: $i,V_A: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_A ) ) @ c_Message_OsymKeys @ tc_nat ) ) )
= $true ),
inference(copy,[status(thm)],[968]) ).
thf(1269,plain,
( ( ! [T_a: $i,V_y: $i,V_z: $i,V_x: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( c_lessequals @ V_y @ V_z @ T_a )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a ) @ V_z @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[967]) ).
thf(1270,plain,
( ( ! [T_a: $i,V_x: $i,V_z: $i,V_y: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( c_lessequals @ V_x @ V_z @ T_a )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a ) @ V_z @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[966]) ).
thf(1271,plain,
( ( ! [T_a: $i,V_x: $i,V_a: $i,V_b: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( c_lessequals @ V_x @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_a @ V_b @ T_a ) @ T_a )
| ~ ( c_lessequals @ V_x @ V_b @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[965]) ).
thf(1272,plain,
( ( ! [T_a: $i,V_x: $i,V_a: $i,V_b: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( c_lessequals @ V_x @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_a @ V_b @ T_a ) @ T_a )
| ~ ( c_lessequals @ V_x @ V_a @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[964]) ).
thf(1273,plain,
( ( ! [T_a: $i,V_b: $i,V_x: $i,V_a: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( c_lessequals @ V_b @ V_x @ T_a )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_a @ V_b @ T_a ) @ V_x @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[963]) ).
thf(1274,plain,
( ( ! [T_a: $i,V_a: $i,V_x: $i,V_b: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( c_lessequals @ V_a @ V_x @ T_a )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_a @ V_b @ T_a ) @ V_x @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[962]) ).
thf(1275,plain,
( ( ! [V_A: $i,V_C: $i,T_a: $i,V_B: $i] :
( ( c_lessequals @ V_A @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ V_C @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[961]) ).
thf(1276,plain,
( ( ! [V_B: $i,V_C: $i,T_a: $i,V_A: $i] :
( ( c_lessequals @ V_B @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ V_C @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[960]) ).
thf(1277,plain,
( ( ! [T_a: $i,V_z: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( c_lessequals @ V_z @ V_x @ T_a )
| ~ ( c_lessequals @ V_z @ V_y @ T_a )
| ~ ( c_lessequals @ V_y @ V_x @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[959]) ).
thf(1278,plain,
( ( ! [T_a: $i,V_x: $i,V_z: $i,V_y: $i] :
( ~ ( class_Orderings_Opreorder @ T_a )
| ( c_lessequals @ V_x @ V_z @ T_a )
| ~ ( c_lessequals @ V_y @ V_z @ T_a )
| ~ ( c_lessequals @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[958]) ).
thf(1279,plain,
( ( ! [V_x: $i,T_a: $i] : ( c_lessequals @ V_x @ V_x @ ( tc_fun @ T_a @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[957]) ).
thf(1280,plain,
( ( ! [V_A: $i,T_a: $i] : ( c_lessequals @ V_A @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[956]) ).
thf(1281,plain,
( ( ! [V_A: $i,V_C: $i,T_a: $i,V_B: $i] :
( ( c_lessequals @ V_A @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_B @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[955]) ).
thf(1282,plain,
( ( ! [V_Q: $i,V_x: $i,V_P: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_Q @ V_x ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_x ) )
| ~ ( c_lessequals @ V_P @ V_Q @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[954]) ).
thf(1283,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( c_lessequals @ V_x @ V_x @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[953]) ).
thf(1284,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_Orderings_Opreorder @ T_a )
| ( c_lessequals @ V_x @ V_x @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[952]) ).
thf(1285,plain,
( ( ! [V_Q: $i,V_x: $i,V_P: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_Q @ V_x ) )
| ~ ( c_lessequals @ V_P @ V_Q @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( hBOOL @ ( hAPP @ V_P @ V_x ) ) ) )
= $true ),
inference(copy,[status(thm)],[951]) ).
thf(1286,plain,
( ( ! [V_f: $i,V_A: $i,T_a: $i,T_b: $i,V_B: $i] :
( ( c_lessequals @ ( c_Set_Oimage @ V_f @ V_A @ T_a @ T_b ) @ ( c_Set_Oimage @ V_f @ V_B @ T_a @ T_b ) @ ( tc_fun @ T_b @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[950]) ).
thf(1287,plain,
( ( ! [V_x: $i,V_A: $i,T_b: $i,V_f: $i,T_a: $i] :
( ~ ( c_lessequals @ V_x @ V_A @ ( tc_fun @ T_b @ tc_bool ) )
| ( c_lessequals @ ( c_Set_Oimage @ V_f @ V_x @ T_b @ T_a ) @ ( c_Set_Oimage @ V_f @ V_A @ T_b @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[949]) ).
thf(1288,plain,
( ( ! [V_a: $i,V_C: $i,T_a: $i,V_D: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ V_a @ V_C @ T_a ) @ ( c_Set_Oinsert @ V_a @ V_D @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_C @ V_D @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[948]) ).
thf(1289,plain,
( ( ! [V_f: $i,V_A: $i,V_B: $i,T_b: $i,T_a: $i] :
( ( c_Set_Oimage @ V_f @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_b @ tc_bool ) ) @ T_b @ T_a )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ V_f @ V_A @ T_b @ T_a ) @ ( c_Set_Oimage @ V_f @ V_B @ T_b @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[947]) ).
thf(1290,plain,
( ( ! [V_G: $i,V_H: $i,V_G_H: $i,V_H_H: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_G_H @ V_H_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oanalz @ V_H ) @ ( c_Message_Oanalz @ V_H_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oanalz @ V_G ) @ ( c_Message_Oanalz @ V_G_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[946]) ).
thf(1291,plain,
( ( ! [V_X: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ V_X ) @ c_Message_OsymKeys @ tc_nat ) ) )
= $true ),
inference(copy,[status(thm)],[945]) ).
thf(1292,plain,
( ( ! [T_a: $i,V_y: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_lessequals @ V_y @ V_x @ T_a )
| ( c_lessequals @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[944]) ).
thf(1293,plain,
( ( ! [V_X: $i,V_H: $i,V_G: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ V_G ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ V_X @ V_G @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[943]) ).
thf(1294,plain,
( ( ! [V_evs: $i] : ( c_lessequals @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ ( c_Event_Oused @ V_evs ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[942]) ).
thf(1295,plain,
( ( ! [V_b: $i,V_x: $i,V_AA: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_x ) ) @ ( c_Set_Oimage @ c_Public_OshrK @ V_AA @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(copy,[status(thm)],[941]) ).
thf(1296,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i,V_x: $i] :
( ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ ( c_Set_Oinsert @ V_x @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) )
| ( hBOOL @ ( c_in @ V_x @ V_A @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[940]) ).
thf(1297,plain,
( ( ! [V_A: $i,V_x: $i,V_B: $i,T_a: $i] :
( ( c_lessequals @ V_A @ ( c_Set_Oinsert @ V_x @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ( hBOOL @ ( c_in @ V_x @ V_A @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[939]) ).
thf(1298,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i,V_x: $i] :
( ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ( hBOOL @ ( c_in @ V_x @ V_A @ T_a ) )
| ~ ( c_lessequals @ V_A @ ( c_Set_Oinsert @ V_x @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[938]) ).
thf(1299,plain,
( ( ! [V_A: $i,V_x: $i,V_B: $i,T_a: $i] :
( ( c_lessequals @ V_A @ ( c_Set_Oinsert @ V_x @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ( hBOOL @ ( c_in @ V_x @ V_A @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[937]) ).
thf(1300,plain,
( ( ! [V_f: $i,V_x: $i,V_A: $i,T_a: $i,T_b: $i] :
( ( ( c_Set_Oinsert @ ( hAPP @ V_f @ V_x ) @ ( c_Set_Oimage @ V_f @ V_A @ T_a @ T_b ) @ T_b )
= ( c_Set_Oimage @ V_f @ V_A @ T_a @ T_b ) )
| ~ ( hBOOL @ ( c_in @ V_x @ V_A @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[936]) ).
thf(1301,plain,
( ( ! [V_x: $i,V_B: $i,T_a: $i,V_A: $i] :
( ( hBOOL @ ( c_in @ V_x @ V_B @ T_a ) )
| ~ ( c_lessequals @ ( c_Set_Oinsert @ V_x @ V_A @ T_a ) @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[935]) ).
thf(1302,plain,
( ( ! [V_x: $i,V_A: $i,T_a: $i,V_B: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ V_x @ V_A @ T_a ) @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ V_x @ V_B @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[934]) ).
thf(1303,plain,
( ( ! [V_xs: $i,T_a: $i,V_x: $i] : ( c_lessequals @ ( c_List_Oset @ V_xs @ T_a ) @ ( c_List_Oset @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[933]) ).
thf(1304,plain,
( ( ! [V_X: $i,V_H: $i,V_Y: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Event_Oused @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Event_Oused @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[932]) ).
thf(1305,plain,
( ( ! [V_Y: $i,V_H: $i,V_X: $i] :
( ( hBOOL @ ( c_in @ V_Y @ ( c_Event_Oused @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Event_Oused @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[931]) ).
thf(1306,plain,
( ( ! [V_c: $i,V_H: $i,V_G: $i] :
( ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oparts @ V_G ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[930]) ).
thf(1307,plain,
( ( ! [V_X: $i,V_H: $i,V_G: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ V_G @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oparts @ V_G ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[929]) ).
thf(1308,plain,
( ( ! [V_c: $i,V_A: $i,V_G: $i] :
( ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_G @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oanalz @ V_G ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[928]) ).
thf(1309,plain,
( ( ! [V_X: $i,V_H: $i,V_G: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ V_G @ ( c_Message_Oanalz @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ V_G ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[927]) ).
thf(1310,plain,
( ( ! [V_X: $i,V_H: $i,V_K: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_K @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[926]) ).
thf(1311,plain,
( ( ! [V_H: $i] : ( c_lessequals @ ( c_Message_Oanalz @ V_H ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[925]) ).
thf(1312,plain,
( ( ! [V_X: $i,V_H: $i,V_G: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ V_G @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ V_G ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[924]) ).
thf(1313,plain,
( ( ! [V_X: $i,V_H: $i] : ( c_lessequals @ ( c_Set_Oinsert @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[923]) ).
thf(1314,plain,
( ( ! [V_X: $i,V_H: $i,V_G: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_G ) ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_G ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[922]) ).
thf(1315,plain,
( ( ! [V_H: $i] :
( ( c_Message_Oparts @ ( c_Message_Osynth @ V_H ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ V_H ) @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[921]) ).
thf(1316,plain,
( ( ! [V_X: $i,V_H: $i] : ( c_lessequals @ ( c_Set_Oinsert @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[920]) ).
thf(1317,plain,
( ( ! [V_G: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_G ) ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[919]) ).
thf(1318,plain,
( ( ! [V_H: $i] :
( ( c_Message_Oanalz @ ( c_Message_Osynth @ V_H ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oanalz @ V_H ) @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[918]) ).
thf(1319,plain,
( ( ! [V_G: $i,V_H: $i] :
( ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ V_G ) @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( c_Message_Osynth @ V_G ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[917]) ).
thf(1320,plain,
( ( ! [V_X: $i,V_H: $i] : ( c_lessequals @ ( c_Set_Oinsert @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) @ ( c_Message_Osynth @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[916]) ).
thf(1321,plain,
( ( ! [V_A: $i,V_evs: $i,V_e: $i] : ( c_lessequals @ ( c_Event_Oknows @ V_A @ V_evs ) @ ( c_Event_Oknows @ V_A @ ( c_List_Olist_OCons @ V_e @ V_evs @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[915]) ).
thf(1322,plain,
( ( ! [V_A: $i,V_X: $i,V_evs: $i] :
( ( c_Event_Oused @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Event_Oused @ V_evs ) ) )
= $true ),
inference(copy,[status(thm)],[914]) ).
thf(1323,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[913]) ).
thf(1324,plain,
( ( ! [V_Y: $i,V_G: $i,V_H: $i,V_X: $i] :
( ( hBOOL @ ( c_in @ V_Y @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_Y @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ V_G @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[912]) ).
thf(1325,plain,
( ( ! [V_X: $i,V_G: $i,V_H: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_G @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ V_G ) )
| ~ ( c_lessequals @ V_H @ V_G @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[911]) ).
thf(1326,plain,
( ( ! [V_K: $i,V_X: $i,V_H: $i] : ( c_lessequals @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg ) ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[910]) ).
thf(1327,plain,
( ( ! [V_B: $i,V_evs: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ V_B ) ) @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[909]) ).
thf(1328,plain,
( ( ! [V_A: $i,V_evs: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ V_A ) ) @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[908]) ).
thf(1329,plain,
( ( ! [V_b: $i,V_A: $i,V_evs: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_A ) ) @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[907]) ).
thf(1330,plain,
( ( ! [V_x: $i,V_evs: $i] :
( ( hBOOL @ ( c_in @ V_x @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_x ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ V_x ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[906]) ).
thf(1331,plain,
( ( ! [V_K: $i,V_evs: $i,V_KAB: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ( V_K = V_KAB )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ V_KAB ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ V_KAB @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[905]) ).
thf(1332,plain,
( ( ! [V_K: $i,V_KAB: $i,V_evs: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ V_KAB ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ V_KAB @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[904]) ).
thf(1333,plain,
( ( ! [V_A: $i,V_evs: $i,V_A_H: $i,V_B: $i,V_X: $i] : ( c_lessequals @ ( c_Event_Oknows @ V_A @ V_evs ) @ ( c_Event_Oknows @ V_A @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A_H @ V_B @ V_X ) @ V_evs @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[903]) ).
thf(1334,plain,
( ( ! [V_A: $i,V_evs: $i,V_A_H: $i,V_X: $i] : ( c_lessequals @ ( c_Event_Oknows @ V_A @ V_evs ) @ ( c_Event_Oknows @ V_A @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ V_A_H @ V_X ) @ V_evs @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[902]) ).
thf(1335,plain,
( ( ! [V_A: $i,V_evs: $i,V_A_H: $i,V_X: $i] : ( c_lessequals @ ( c_Event_Oknows @ V_A @ V_evs ) @ ( c_Event_Oknows @ V_A @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ V_A_H @ V_X ) @ V_evs @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[901]) ).
thf(1336,plain,
( ( ! [V_K: $i,V_evs: $i,V_A: $i,V_K_H: $i,V_N: $i,V_B: $i,V_X: $i] :
( ~ ( hBOOL @ ( c_in @ V_K @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OCrypt @ V_K_H @ ( c_Message_Omsg_OMPair @ V_N @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(copy,[status(thm)],[900]) ).
thf(1337,plain,
( ( ! [V_c: $i,V_evs: $i] :
( ( hBOOL @ ( c_in @ V_c @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[899]) ).
thf(1338,plain,
( ( ! [V_b: $i,V_A: $i,V_evs: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_A ) ) ) @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[898]) ).
thf(1339,plain,
( ( ! [V_X: $i,V_evs: $i,V_A: $i,V_B: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(copy,[status(thm)],[897]) ).
thf(1340,plain,
( ( ! [V_B: $i,V_A: $i,V_K: $i,V_NB: $i,V_evs4: $i,V_A_H: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_B @ V_A @ ( c_Message_Omsg_OCrypt @ V_K @ ( c_Message_Omsg_ONonce @ V_NB ) ) ) @ V_evs4 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_A_H @ V_B @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OAgent @ V_A ) ) ) ) @ ( c_List_Oset @ V_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ V_K @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ V_NB ) @ ( c_Event_Oused @ V_evs4 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ V_evs4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[896]) ).
thf(1341,plain,
( ( ! [V_evs: $i,V_A: $i,V_B: $i,V_X: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ V_evs @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[895]) ).
thf(1342,plain,
( ( ! [V_X: $i,V_evs: $i,V_A: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(copy,[status(thm)],[894]) ).
thf(1343,plain,
( ( ! [V_evs: $i,V_A: $i,V_X: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[893]) ).
thf(1344,plain,
( ( ! [V_evs: $i,V_A: $i,V_X: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[892]) ).
thf(1345,plain,
( ( ! [V_B: $i,V_A: $i,V_K: $i,V_NB: $i,V_evs4: $i,V_A_H: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_B @ V_A @ ( c_Message_Omsg_OCrypt @ V_K @ ( c_Message_Omsg_ONonce @ V_NB ) ) ) @ V_evs4 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_A_H @ V_B @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OAgent @ V_A ) ) ) ) @ ( c_List_Oset @ V_evs4 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ V_K @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ V_NB ) @ ( c_Event_Oused @ V_evs4 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_evs4 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[891]) ).
thf(1346,plain,
( ( ! [V_K: $i,V_evs: $i,V_A: $i,V_NA: $i,V_B: $i,V_X: $i] :
( ~ ( hBOOL @ ( c_in @ V_K @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[890]) ).
thf(1347,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
!= V_B )
| ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[889]) ).
thf(1348,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
= V_A )
| ~ ( c_lessequals @ V_B @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[888]) ).
thf(1349,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
= V_B )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[887]) ).
thf(1350,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a )
= V_y )
| ~ ( c_lessequals @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[886]) ).
thf(1351,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a )
!= V_y )
| ( c_lessequals @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[885]) ).
thf(1352,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a )
= V_x )
| ~ ( c_lessequals @ V_y @ V_x @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[884]) ).
thf(1353,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( V_x = V_y )
| ~ ( c_lessequals @ V_x @ V_y @ T_a )
| ~ ( c_lessequals @ V_y @ V_x @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[883]) ).
thf(1354,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( V_x = V_y )
| ~ ( c_lessequals @ V_y @ V_x @ T_a )
| ~ ( c_lessequals @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[882]) ).
thf(1355,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Orderings_Oorder @ T_a )
| ( V_x = V_y )
| ~ ( c_lessequals @ V_y @ V_x @ T_a )
| ~ ( c_lessequals @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[881]) ).
thf(1356,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i] :
( ( V_A = V_B )
| ~ ( c_lessequals @ V_B @ V_A @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[880]) ).
thf(1357,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i] :
( ( V_A = V_B )
| ~ ( c_lessequals @ V_B @ V_A @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[879]) ).
thf(1358,plain,
( ( ! [T_b: $i] :
( ~ ( class_Orderings_Otop @ T_b )
| ( ( hAPP @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ t_a @ T_b ) ) @ v_x )
= ( c_Orderings_Otop__class_Otop @ T_b ) ) ) )
= $true ),
inference(copy,[status(thm)],[878]) ).
thf(1359,plain,
( ( ! [T_a: $i,V_x: $i] : ( hBOOL @ ( hAPP @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ T_a @ tc_bool ) ) @ V_x ) ) )
= $true ),
inference(copy,[status(thm)],[877]) ).
thf(1360,plain,
( ( ! [V_G: $i,V_H: $i] : ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ V_G ) @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Message_Osynth @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[876]) ).
thf(1361,plain,
( ( ! [V_G: $i,V_H: $i] :
( ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ V_G ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[875]) ).
thf(1362,plain,
( ( ! [V_H: $i] : ( c_lessequals @ V_H @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[874]) ).
thf(1363,plain,
( ( ! [V_K: $i] :
( ( ( hAPP @ c_Message_OinvKey @ V_K )
= V_K )
| ~ ( hBOOL @ ( c_in @ V_K @ c_Message_OsymKeys @ tc_nat ) ) ) )
= $true ),
inference(copy,[status(thm)],[873]) ).
thf(1364,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ V_x ) )
| ~ ( hBOOL @ ( hAPP @ V_A @ V_x ) ) ) )
= $true ),
inference(copy,[status(thm)],[872]) ).
thf(1365,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ V_x ) )
| ~ ( hBOOL @ ( hAPP @ V_B @ V_x ) ) ) )
= $true ),
inference(copy,[status(thm)],[871]) ).
thf(1366,plain,
( ( ! [V_B: $i,V_x: $i,V_A: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_B @ V_x ) )
| ( hBOOL @ ( hAPP @ V_A @ V_x ) )
| ~ ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ V_x ) ) ) )
= $true ),
inference(copy,[status(thm)],[870]) ).
thf(1367,plain,
( ( ! [V_K: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ V_K ) @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ V_K @ c_Message_OsymKeys @ tc_nat ) ) ) )
= $true ),
inference(copy,[status(thm)],[869]) ).
thf(1368,plain,
( ( ! [V_K: $i] :
( ( hBOOL @ ( c_in @ V_K @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ V_K ) @ c_Message_OsymKeys @ tc_nat ) ) ) )
= $true ),
inference(copy,[status(thm)],[868]) ).
thf(1369,plain,
( ( ! [V_B: $i,V_a: $i,T_a: $i] : ( c_lessequals @ V_B @ ( c_Set_Oinsert @ V_a @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[867]) ).
thf(1370,plain,
( ( ! [V_G: $i,V_H: $i] : ( c_lessequals @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ V_G ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[866]) ).
thf(1371,plain,
( ( ! [V_A: $i,T_a: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_Orderings_Otop__class_Otop @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[865]) ).
thf(1372,plain,
( ( ! [T_a: $i,V_B: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ T_a @ tc_bool ) ) @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_Orderings_Otop__class_Otop @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[864]) ).
thf(1373,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_Lattices_Obounded__lattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Otop__class_Otop @ T_a ) @ V_x @ T_a )
= ( c_Orderings_Otop__class_Otop @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[863]) ).
thf(1374,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_Lattices_Obounded__lattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ ( c_Orderings_Otop__class_Otop @ T_a ) @ T_a )
= ( c_Orderings_Otop__class_Otop @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[862]) ).
thf(1375,plain,
( ( ! [V_b: $i,V_x: $i,V_c: $i,V_AA: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_x ) ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ V_c ) @ V_AA @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(copy,[status(thm)],[861]) ).
thf(1376,plain,
( ( ! [V_A: $i,V_a: $i,V_B: $i,T_a: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ ( c_Set_Oinsert @ V_a @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_Set_Oinsert @ V_a @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[860]) ).
thf(1377,plain,
( ( ! [V_a: $i,V_B: $i,T_a: $i,V_C: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oinsert @ V_a @ V_B @ T_a ) @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_Set_Oinsert @ V_a @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_B @ V_C @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[859]) ).
thf(1378,plain,
( ( ! [V_x: $i,V_xa: $i,V_AA: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ V_x ) @ V_xa ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ V_x ) @ V_AA @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ V_xa @ V_AA @ tc_Message_Oagent ) ) ) )
= $true ),
inference(copy,[status(thm)],[858]) ).
thf(1379,plain,
( ( ! [V_x: $i,V_AA: $i,V_b: $i,V_c: $i] :
( ( hBOOL @ ( c_in @ V_x @ V_AA @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_x ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ V_c ) @ V_AA @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) ) )
= $true ),
inference(copy,[status(thm)],[857]) ).
thf(1380,plain,
( ( ! [V_b: $i,V_c: $i,V_x: $i,V_AA: $i] :
( ( V_b = V_c )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_x ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ V_c ) @ V_AA @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) ) )
= $true ),
inference(copy,[status(thm)],[856]) ).
thf(1381,plain,
( ( ! [V_A: $i,V_b: $i,V_B: $i,T_a: $i] :
( ( c_lessequals @ V_A @ ( c_Set_Oinsert @ V_b @ V_B @ T_a ) @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[855]) ).
thf(1382,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i,V_x: $i] :
( ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Set_Oinsert @ V_x @ V_A @ T_a ) @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[854]) ).
thf(1383,plain,
( ( ! [V_G: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ V_G ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[853]) ).
thf(1384,plain,
( ( ! [V_f: $i,V_x: $i,V_B: $i,T_a: $i,V_A: $i,T_b: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ V_f @ V_x ) @ V_B @ T_a ) )
| ~ ( hBOOL @ ( c_in @ V_x @ V_A @ T_b ) )
| ~ ( c_lessequals @ ( c_Set_Oimage @ V_f @ V_A @ T_b @ T_a ) @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[852]) ).
thf(1385,plain,
( ( ! [V_b: $i,V_x: $i,V_AA: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_x ) @ ( c_Set_Oimage @ c_Public_OshrK @ V_AA @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(copy,[status(thm)],[851]) ).
thf(1386,plain,
( ( ! [T_b: $i,V_f: $i,V_g: $i] :
( ~ ( class_Lattices_Olattice @ T_b )
| ( ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_f @ V_g @ ( tc_fun @ t_a @ T_b ) ) @ v_x )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( hAPP @ V_f @ v_x ) @ ( hAPP @ V_g @ v_x ) @ T_b ) ) ) )
= $true ),
inference(copy,[status(thm)],[850]) ).
thf(1387,plain,
( ( ! [V_A: $i,T_a: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_A @ ( tc_fun @ T_a @ tc_bool ) )
= V_A ) )
= $true ),
inference(copy,[status(thm)],[849]) ).
thf(1388,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_x @ T_a )
= V_x ) ) )
= $true ),
inference(copy,[status(thm)],[848]) ).
thf(1389,plain,
( ( ! [V_G: $i,V_H: $i] : ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oanalz @ V_G ) @ ( c_Message_Oanalz @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[847]) ).
thf(1390,plain,
( ( ! [V_G: $i,V_H: $i] : ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ V_G ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[846]) ).
thf(1391,plain,
( ( ! [V_f: $i,V_x: $i,T_b: $i,T_a: $i] : ( hBOOL @ ( c_in @ ( hAPP @ V_f @ V_x ) @ ( c_Set_Oimage @ V_f @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ T_b @ tc_bool ) ) @ T_b @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[845]) ).
thf(1392,plain,
( ( ! [V_A: $i,V_B: $i,V_C: $i,T_a: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_B @ V_C @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ V_B @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_C @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[844]) ).
thf(1393,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i,V_C: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_B @ V_C @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[843]) ).
thf(1394,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i,V_z: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a ) @ V_z @ T_a )
= ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_y @ V_z @ T_a ) @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[842]) ).
thf(1395,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i,V_z: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_y @ V_z @ T_a ) @ T_a )
= ( c_Lattices_Oupper__semilattice__class_Osup @ V_y @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_z @ T_a ) @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[841]) ).
thf(1396,plain,
( ( ! [V_A: $i,V_B: $i,V_C: $i,T_a: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_B @ V_C @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ V_C @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[840]) ).
thf(1397,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i,V_z: $i] :
( ~ ( class_Lattices_Olattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_y @ V_z @ T_a ) @ T_a )
= ( c_Lattices_Oupper__semilattice__class_Osup @ V_y @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_z @ T_a ) @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[839]) ).
thf(1398,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i,V_z: $i] :
( ~ ( class_Lattices_Olattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a ) @ V_z @ T_a )
= ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_y @ V_z @ T_a ) @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[838]) ).
thf(1399,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i,V_C: $i] :
( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_B @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_C @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[837]) ).
thf(1400,plain,
( ( ! [V_B: $i,V_A: $i,T_a: $i] : ( c_lessequals @ V_B @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[836]) ).
thf(1401,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i] : ( c_lessequals @ V_A @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[835]) ).
thf(1402,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i,V_C: $i] :
( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_B @ V_C @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( c_lessequals @ V_A @ V_C @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[834]) ).
thf(1403,plain,
( ( ! [T_a: $i,V_a: $i,V_b: $i,V_x: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_a @ V_b @ T_a ) @ V_x @ T_a )
| ~ ( c_lessequals @ V_b @ V_x @ T_a )
| ~ ( c_lessequals @ V_a @ V_x @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[833]) ).
thf(1404,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( c_lessequals @ V_x @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[832]) ).
thf(1405,plain,
( ( ! [T_a: $i,V_y: $i,V_x: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( c_lessequals @ V_y @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[831]) ).
thf(1406,plain,
( ( ! [T_a: $i,V_y: $i,V_z: $i,V_x: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_y @ V_z @ T_a ) @ V_x @ T_a )
| ~ ( c_lessequals @ V_z @ V_x @ T_a )
| ~ ( c_lessequals @ V_y @ V_x @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[830]) ).
thf(1407,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i,V_z: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a ) @ V_z @ T_a )
| ~ ( c_lessequals @ V_y @ V_z @ T_a )
| ~ ( c_lessequals @ V_x @ V_z @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[829]) ).
thf(1408,plain,
( ( ! [T_a: $i,V_y: $i,V_x: $i] :
( ~ ( class_Lattices_Olattice @ T_a )
| ( c_lessequals @ V_y @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[828]) ).
thf(1409,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Lattices_Olattice @ T_a )
| ( c_lessequals @ V_x @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[827]) ).
thf(1410,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ V_B @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[826]) ).
thf(1411,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a )
= ( c_Lattices_Oupper__semilattice__class_Osup @ V_y @ V_x @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[825]) ).
thf(1412,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Lattices_Olattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a )
= ( c_Lattices_Oupper__semilattice__class_Osup @ V_y @ V_x @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[824]) ).
thf(1413,plain,
( ( ! [V_G: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ V_G ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ V_G @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[823]) ).
thf(1414,plain,
( ( ! [V_G: $i,V_H: $i] :
( ( c_lessequals @ V_G @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oparts @ V_G ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[822]) ).
thf(1415,plain,
( ( ! [V_A: $i,V_B: $i,T_a: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[821]) ).
thf(1416,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a ) @ T_a )
= ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[820]) ).
thf(1417,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i] :
( ~ ( class_Lattices_Olattice @ T_a )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a ) @ T_a )
= ( c_Lattices_Oupper__semilattice__class_Osup @ V_x @ V_y @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[819]) ).
thf(1418,plain,
( ( ! [V_b: $i,V_A: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_A ) @ c_Message_OsymKeys @ tc_nat ) ) )
= $true ),
inference(copy,[status(thm)],[818]) ).
thf(1419,plain,
( ( ! [V_f: $i,V_a: $i,V_B: $i,T_b: $i,T_a: $i] :
( ( c_Set_Oinsert @ ( hAPP @ V_f @ V_a ) @ ( c_Set_Oimage @ V_f @ V_B @ T_b @ T_a ) @ T_a )
= ( c_Set_Oimage @ V_f @ ( c_Set_Oinsert @ V_a @ V_B @ T_b ) @ T_b @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[817]) ).
thf(1420,plain,
( ( ! [V_x: $i,V_b: $i,V_AA: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ V_x ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ V_b ) @ V_AA @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(copy,[status(thm)],[816]) ).
thf(1421,plain,
( ( ! [T_b: $i,V_f: $i,V_x: $i,V_g: $i,T_a: $i] :
( ~ ( class_HOL_Oord @ T_b )
| ( c_lessequals @ ( hAPP @ V_f @ V_x ) @ ( hAPP @ V_g @ V_x ) @ T_b )
| ~ ( c_lessequals @ V_f @ V_g @ ( tc_fun @ T_a @ T_b ) ) ) )
= $true ),
inference(copy,[status(thm)],[815]) ).
thf(1422,plain,
( ( ! [V_K: $i,V_evs: $i] :
( ~ ( hBOOL @ ( c_in @ V_K @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[814]) ).
thf(1423,plain,
( ( ! [V_t: $i,V_B: $i,T_a: $i,V_A: $i] :
( ( hBOOL @ ( c_in @ V_t @ V_B @ T_a ) )
| ~ ( hBOOL @ ( c_in @ V_t @ V_A @ T_a ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[813]) ).
thf(1424,plain,
( ( ! [V_x: $i,V_B: $i,T_a: $i,V_A: $i] :
( ( hBOOL @ ( c_in @ V_x @ V_B @ T_a ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ V_x @ V_A @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[812]) ).
thf(1425,plain,
( ( ! [V_c: $i,V_B: $i,T_a: $i,V_A: $i] :
( ( hBOOL @ ( c_in @ V_c @ V_B @ T_a ) )
| ~ ( hBOOL @ ( c_in @ V_c @ V_A @ T_a ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[811]) ).
thf(1426,plain,
( ( ! [V_x: $i,V_B: $i,T_a: $i,V_A: $i] :
( ( hBOOL @ ( c_in @ V_x @ V_B @ T_a ) )
| ~ ( hBOOL @ ( c_in @ V_x @ V_A @ T_a ) )
| ~ ( c_lessequals @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[810]) ).
thf(1427,plain,
( ( ! [V_c: $i,V_A: $i,V_B: $i,T_a: $i] :
( ( hBOOL @ ( c_in @ V_c @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) )
| ~ ( hBOOL @ ( c_in @ V_c @ V_A @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[809]) ).
thf(1428,plain,
( ( ! [V_c: $i,V_A: $i,V_B: $i,T_a: $i] :
( ( hBOOL @ ( c_in @ V_c @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) )
| ~ ( hBOOL @ ( c_in @ V_c @ V_B @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[808]) ).
thf(1429,plain,
( ( ! [V_c: $i,V_B: $i,T_a: $i,V_A: $i] :
( ( hBOOL @ ( c_in @ V_c @ V_B @ T_a ) )
| ( hBOOL @ ( c_in @ V_c @ V_A @ T_a ) )
| ~ ( hBOOL @ ( c_in @ V_c @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_A @ V_B @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[807]) ).
thf(1430,plain,
( ( ! [V_x: $i,T_a: $i] : ( hBOOL @ ( c_in @ V_x @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ T_a @ tc_bool ) ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[806]) ).
thf(1431,plain,
( ( ! [V_x: $i,V_A: $i,T_aa: $i,V_f: $i,T_a: $i] :
( ~ ( hBOOL @ ( c_in @ V_x @ V_A @ T_aa ) )
| ( hBOOL @ ( c_in @ ( hAPP @ V_f @ V_x ) @ ( c_Set_Oimage @ V_f @ V_A @ T_aa @ T_a ) @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[805]) ).
thf(1432,plain,
( ( ! [V_x: $i,V_A: $i,T_b: $i,V_f: $i,T_a: $i] :
( ~ ( hBOOL @ ( c_in @ V_x @ V_A @ T_b ) )
| ( hBOOL @ ( c_in @ ( hAPP @ V_f @ V_x ) @ ( c_Set_Oimage @ V_f @ V_A @ T_b @ T_a ) @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[804]) ).
thf(1433,plain,
( ( ! [V_f: $i,V_x: $i,V_A: $i,T_b: $i,T_a: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ V_f @ V_x ) @ ( c_Set_Oimage @ V_f @ V_A @ T_b @ T_a ) @ T_a ) )
| ~ ( hBOOL @ ( c_in @ V_x @ V_A @ T_b ) ) ) )
= $true ),
inference(copy,[status(thm)],[803]) ).
thf(1434,plain,
( ( ! [V_f: $i,V_x: $i,V_A: $i,T_a: $i,T_b: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ V_f @ V_x ) @ ( c_Set_Oimage @ V_f @ V_A @ T_a @ T_b ) @ T_b ) )
| ~ ( hBOOL @ ( c_in @ V_x @ V_A @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[802]) ).
thf(1435,plain,
( ( ! [V_G: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ V_G ) @ ( c_Message_Oanalz @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[801]) ).
thf(1436,plain,
( ( ! [V_G: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ V_G ) @ ( c_Message_Oanalz @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ V_G @ ( c_Message_Oanalz @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[800]) ).
thf(1437,plain,
( ( ! [V_G: $i,V_H: $i] :
( ( c_lessequals @ V_G @ ( c_Message_Oanalz @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oanalz @ V_G ) @ ( c_Message_Oanalz @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[799]) ).
thf(1438,plain,
( ( ! [V_H: $i] : ( c_lessequals @ V_H @ ( c_Message_Oanalz @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[798]) ).
thf(1439,plain,
( ( ! [V_G: $i,V_H: $i] :
( ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oanalz @ V_G ) @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[797]) ).
thf(1440,plain,
( ( ! [V_H: $i,V_H_H: $i,V_G: $i,V_G_H: $i] :
( ( ( c_Message_Oanalz @ V_H )
!= ( c_Message_Oanalz @ V_H_H ) )
| ( ( c_Message_Oanalz @ V_G )
!= ( c_Message_Oanalz @ V_G_H ) )
| ( ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ V_G_H @ V_H_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[796]) ).
thf(1441,plain,
( ( ! [V_H: $i] : ( c_lessequals @ V_H @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[795]) ).
thf(1442,plain,
( ( ! [V_G: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Osynth @ V_G ) @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ V_G @ V_H @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[794]) ).
thf(1443,plain,
( ( ! [V_G: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Osynth @ V_G ) @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ V_G @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[793]) ).
thf(1444,plain,
( ( ! [V_G: $i,V_H: $i] :
( ( c_lessequals @ V_G @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Osynth @ V_G ) @ ( c_Message_Osynth @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[792]) ).
thf(1445,plain,
( ( ! [V_x: $i,V_AA: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ V_x ) @ ( c_Set_Oimage @ c_Public_OshrK @ V_AA @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ V_x @ V_AA @ tc_Message_Oagent ) ) ) )
= $true ),
inference(copy,[status(thm)],[791]) ).
thf(1446,plain,
( ( ! [V_x: $i,V_AA: $i] :
( ( hBOOL @ ( c_in @ V_x @ V_AA @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ V_x ) @ ( c_Set_Oimage @ c_Public_OshrK @ V_AA @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) ) )
= $true ),
inference(copy,[status(thm)],[790]) ).
thf(1447,plain,
( ( ! [V_A: $i,V_NA: $i,V_B: $i,V_KAB: $i,V_evs2: $i,V_A_H: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_KAB ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_KAB ) @ ( c_Message_Omsg_OAgent @ V_A ) ) ) ) ) ) ) ) @ V_evs2 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_A_H @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_ONonce @ V_NA ) ) ) ) @ ( c_List_Oset @ V_evs2 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ V_KAB @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_KAB ) @ ( c_Event_Oused @ V_evs2 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ V_evs2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[789]) ).
thf(1448,plain,
( ( ! [V_A: $i,V_NA: $i,V_B: $i,V_KAB: $i,V_evs2: $i,V_A_H: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_KAB ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_KAB ) @ ( c_Message_Omsg_OAgent @ V_A ) ) ) ) ) ) ) ) @ V_evs2 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_A_H @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_ONonce @ V_NA ) ) ) ) @ ( c_List_Oset @ V_evs2 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ V_KAB @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_KAB ) @ ( c_Event_Oused @ V_evs2 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_evs2 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[788]) ).
thf(1449,plain,
( ( ! [V_Z: $i,V_H: $i,V_X: $i] :
( ( hBOOL @ ( c_in @ V_Z @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ ( c_Message_Oparts @ V_H ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_Z @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[787]) ).
thf(1450,plain,
( ( ! [V_K: $i,V_G: $i,V_X: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ V_G ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_G @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ V_H @ V_G @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[786]) ).
thf(1451,plain,
( ( ! [V_K: $i,V_X: $i,V_G: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_G @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ V_G ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ V_H @ V_G @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[785]) ).
thf(1452,plain,
( ( ! [V_X: $i,V_evs: $i,V_K: $i,V_S: $i,V_A: $i,V_NA: $i,V_B: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_K @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_S @ V_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(copy,[status(thm)],[784]) ).
thf(1453,plain,
( ( ! [V_A: $i,V_B: $i,V_K: $i,V_NB: $i,V_evs5: $i,V_S: $i,V_NA: $i,V_X: $i,V_B_H: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A @ V_B @ ( c_Message_Omsg_OCrypt @ V_K @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NB ) @ ( c_Message_Omsg_ONonce @ V_NB ) ) ) ) @ V_evs5 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_S @ V_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evs5 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_B_H @ V_A @ ( c_Message_Omsg_OCrypt @ V_K @ ( c_Message_Omsg_ONonce @ V_NB ) ) ) @ ( c_List_Oset @ V_evs5 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ V_K @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ V_evs5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[783]) ).
thf(1454,plain,
( ( ! [V_K: $i,V_X: $i,V_H: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ V_K ) ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[782]) ).
thf(1455,plain,
( ( ! [V_K: $i,V_X: $i,V_H: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg ) ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ V_K ) ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[781]) ).
thf(1456,plain,
( ( ! [V_A: $i,V_B: $i,V_K: $i,V_NB: $i,V_evs5: $i,V_S: $i,V_NA: $i,V_X: $i,V_B_H: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A @ V_B @ ( c_Message_Omsg_OCrypt @ V_K @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NB ) @ ( c_Message_Omsg_ONonce @ V_NB ) ) ) ) @ V_evs5 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_S @ V_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evs5 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_B_H @ V_A @ ( c_Message_Omsg_OCrypt @ V_K @ ( c_Message_Omsg_ONonce @ V_NB ) ) ) @ ( c_List_Oset @ V_evs5 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ V_K @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ V_evs5 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[780]) ).
thf(1457,plain,
( ( ! [V_A: $i,V_B: $i,V_NA: $i,V_evs1: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_ONonce @ V_NA ) ) ) ) @ V_evs1 @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ V_NA ) @ ( c_Event_Oused @ V_evs1 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ V_evs1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[779]) ).
thf(1458,plain,
( ( ! [V_A: $i,V_B: $i,V_NA: $i,V_evs1: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_ONonce @ V_NA ) ) ) ) @ V_evs1 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ V_NA ) @ ( c_Event_Oused @ V_evs1 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_evs1 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[778]) ).
thf(1459,plain,
( ( ! [V_A: $i,V_B: $i,V_X: $i,V_evs: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ V_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[777]) ).
thf(1460,plain,
( ( ! [V_b: $i,V_A: $i,V_evs: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_A ) ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[776]) ).
thf(1461,plain,
( ( ! [V_X: $i,V_H: $i,V_K: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ V_K ) ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[775]) ).
thf(1462,plain,
( ( ! [V_A: $i,V_X: $i,V_evs: $i] :
( ( c_Event_Oknows @ V_A @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ V_X @ ( c_Event_Oknows @ V_A @ V_evs ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[774]) ).
thf(1463,plain,
( ( ( c_NS__Shared__Mirabelle_Ons__sharedp @ v_x )
= ( c_in @ v_x @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ),
inference(copy,[status(thm)],[773]) ).
thf(1464,plain,
( ( ! [V_A: $i,V_B: $i,V_X: $i,V_evs: $i] :
( ( c_Event_Oknows @ V_A @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ V_X @ ( c_Event_Oknows @ V_A @ V_evs ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[772]) ).
thf(1465,plain,
( ( ! [V_A: $i,V_X: $i,V_evs: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) )
= $true ),
inference(copy,[status(thm)],[771]) ).
thf(1466,plain,
( ( ! [V_b: $i,V_A: $i,V_evs: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_A ) ) ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) ) ) )
= $true ),
inference(copy,[status(thm)],[770]) ).
thf(1467,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) )
= ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[769]) ).
thf(1468,plain,
( ( ! [V_agt: $i,V_H: $i] :
( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ V_agt ) @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ V_agt ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[768]) ).
thf(1469,plain,
( ( ! [V_K: $i,V_C: $i,V_A: $i] :
( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ V_C ) @ V_A @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ V_C ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_A @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[767]) ).
thf(1470,plain,
( ( ! [V_X: $i,V_K: $i,V_C: $i,V_A: $i] :
( ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_X @ V_K ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ V_C ) @ V_A @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ V_C ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_X @ V_K ) @ V_A @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[766]) ).
thf(1471,plain,
( ( ! [V_K: $i,V_X: $i,V_K_H: $i,V_A: $i] :
( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_X @ V_K_H ) @ V_A @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_X @ V_K_H ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_A @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[765]) ).
thf(1472,plain,
( ( ! [V_n: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ V_n ) @ V_H @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ V_n ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[764]) ).
thf(1473,plain,
( ( ! [V_N: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ V_N ) @ V_H @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ V_N ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[763]) ).
thf(1474,plain,
( ( ! [V_N: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ V_N ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ V_N ) @ V_H @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[762]) ).
thf(1475,plain,
( ( ! [V_Y: $i,V_H: $i,V_X: $i] :
( ( hBOOL @ ( c_in @ V_Y @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_Y @ ( c_Message_Osynth @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[761]) ).
thf(1476,plain,
( ( ! [V_K: $i,V_X: $i,V_H: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ V_K ) ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[760]) ).
thf(1477,plain,
( ( ! [V_K: $i,V_X: $i,V_H: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ V_K ) ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[759]) ).
thf(1478,plain,
( ( ! [V_K: $i,V_X: $i,V_Y: $i,V_A: $i] :
( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ V_A @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_A @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[758]) ).
thf(1479,plain,
( ( ! [V_X: $i,V_Y: $i,V_H: $i] :
( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ ( c_Set_Oinsert @ V_Y @ V_H @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[757]) ).
thf(1480,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[756]) ).
thf(1481,plain,
( ( ! [V_c: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[755]) ).
thf(1482,plain,
( ( ! [V_c: $i,V_H: $i] :
( ~ ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[754]) ).
thf(1483,plain,
( ( ! [V_c: $i,V_a: $i,V_G: $i] :
( ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_a @ V_G @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oanalz @ V_G ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[753]) ).
thf(1484,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ V_H ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[752]) ).
thf(1485,plain,
( ( ! [V_Y: $i,V_H: $i,V_X: $i] :
( ( hBOOL @ ( c_in @ V_Y @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_Y @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[751]) ).
thf(1486,plain,
( ( ! [V_X: $i,V_K: $i,V_X_H: $i,V_Y: $i,V_A: $i] :
( ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_X @ V_K ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ V_X_H @ V_Y ) @ V_A @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ V_X_H @ V_Y ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_X @ V_K ) @ V_A @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[750]) ).
thf(1487,plain,
( ( ! [V_X: $i,V_H: $i,V_K: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[749]) ).
thf(1488,plain,
( ( ! [V_X: $i,V_H: $i,V_Y: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[748]) ).
thf(1489,plain,
( ( ! [V_Y: $i,V_H: $i,V_X: $i] :
( ( hBOOL @ ( c_in @ V_Y @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[747]) ).
thf(1490,plain,
( ( ! [V_x: $i,V_xs: $i,T_a: $i] :
( ( c_List_Oset @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a )
= ( c_Set_Oinsert @ V_x @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[746]) ).
thf(1491,plain,
( ( ! [V_A: $i,V_X: $i,V_evs: $i] :
( ( ( c_Event_Oknows @ V_A @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ V_X @ ( c_Event_Oknows @ V_A @ V_evs ) @ tc_Message_Omsg ) )
| ( V_A = c_Message_Oagent_OSpy ) ) )
= $true ),
inference(copy,[status(thm)],[745]) ).
thf(1492,plain,
( ( ! [V_agent: $i,V_msg: $i,V_agent_H: $i,V_msg_H: $i] :
( ( c_Event_Oevent_OGets @ V_agent @ V_msg )
!= ( c_Event_Oevent_ONotes @ V_agent_H @ V_msg_H ) ) )
= $true ),
inference(copy,[status(thm)],[744]) ).
thf(1493,plain,
( ( ! [V_agent_H: $i,V_msg_H: $i,V_agent: $i,V_msg: $i] :
( ( c_Event_Oevent_ONotes @ V_agent_H @ V_msg_H )
!= ( c_Event_Oevent_OGets @ V_agent @ V_msg ) ) )
= $true ),
inference(copy,[status(thm)],[743]) ).
thf(1494,plain,
( ( ! [V_A: $i] :
( ( hAPP @ c_Message_OinvKey @ ( hAPP @ c_Public_OshrK @ V_A ) )
= ( hAPP @ c_Public_OshrK @ V_A ) ) )
= $true ),
inference(copy,[status(thm)],[742]) ).
thf(1495,plain,
( ( ! [V_b: $i,V_C: $i,V_A: $i] :
( ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_C )
!= ( hAPP @ c_Public_OshrK @ V_A ) ) )
= $true ),
inference(copy,[status(thm)],[741]) ).
thf(1496,plain,
( ( ! [V_A: $i,V_b: $i,V_C: $i] :
( ( hAPP @ c_Public_OshrK @ V_A )
!= ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_C ) ) )
= $true ),
inference(copy,[status(thm)],[740]) ).
thf(1497,plain,
( ( ! [V_agent_H: $i,V_msg_H: $i,V_agent1: $i,V_agent2: $i,V_msg: $i] :
( ( c_Event_Oevent_OGets @ V_agent_H @ V_msg_H )
!= ( c_Event_Oevent_OSays @ V_agent1 @ V_agent2 @ V_msg ) ) )
= $true ),
inference(copy,[status(thm)],[739]) ).
thf(1498,plain,
( ( ! [V_agent1: $i,V_agent2: $i,V_msg: $i,V_agent_H: $i,V_msg_H: $i] :
( ( c_Event_Oevent_OSays @ V_agent1 @ V_agent2 @ V_msg )
!= ( c_Event_Oevent_OGets @ V_agent_H @ V_msg_H ) ) )
= $true ),
inference(copy,[status(thm)],[738]) ).
thf(1499,plain,
( ( ! [V_agent: $i,V_nat_H: $i] :
( ( c_Message_Omsg_OAgent @ V_agent )
!= ( c_Message_Omsg_ONonce @ V_nat_H ) ) )
= $true ),
inference(copy,[status(thm)],[737]) ).
thf(1500,plain,
( ( ! [V_nat_H: $i,V_agent: $i] :
( ( c_Message_Omsg_ONonce @ V_nat_H )
!= ( c_Message_Omsg_OAgent @ V_agent ) ) )
= $true ),
inference(copy,[status(thm)],[736]) ).
thf(1501,plain,
( ( ! [V_H: $i] :
( ( c_Message_Oanalz @ ( c_Message_Oparts @ V_H ) )
= ( c_Message_Oparts @ V_H ) ) )
= $true ),
inference(copy,[status(thm)],[735]) ).
thf(1502,plain,
( ( ! [V_nat: $i,V_nat_H: $i] :
( ( c_Message_Omsg_ONonce @ V_nat )
!= ( hAPP @ c_Message_Omsg_OKey @ V_nat_H ) ) )
= $true ),
inference(copy,[status(thm)],[734]) ).
thf(1503,plain,
( ( ! [V_nat_H: $i,V_nat: $i] :
( ( hAPP @ c_Message_Omsg_OKey @ V_nat_H )
!= ( c_Message_Omsg_ONonce @ V_nat ) ) )
= $true ),
inference(copy,[status(thm)],[733]) ).
thf(1504,plain,
( ( ! [V_H: $i,V_H_H: $i,V_X: $i] :
( ( ( c_Message_Oanalz @ V_H )
!= ( c_Message_Oanalz @ V_H_H ) )
| ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H_H @ tc_Message_Omsg ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[732]) ).
thf(1505,plain,
( ( ! [V_H: $i] :
( ( c_Message_Oparts @ ( c_Message_Oanalz @ V_H ) )
= ( c_Message_Oparts @ V_H ) ) )
= $true ),
inference(copy,[status(thm)],[731]) ).
thf(1506,plain,
( ( ! [V_nat: $i,V_nat_H: $i,V_msg_H: $i] :
( ( c_Message_Omsg_ONonce @ V_nat )
!= ( c_Message_Omsg_OCrypt @ V_nat_H @ V_msg_H ) ) )
= $true ),
inference(copy,[status(thm)],[730]) ).
thf(1507,plain,
( ( ! [V_nat_H: $i,V_msg_H: $i,V_nat: $i] :
( ( c_Message_Omsg_OCrypt @ V_nat_H @ V_msg_H )
!= ( c_Message_Omsg_ONonce @ V_nat ) ) )
= $true ),
inference(copy,[status(thm)],[729]) ).
thf(1508,plain,
( ( ! [V_msg1_H: $i,V_msg2_H: $i,V_nat: $i] :
( ( c_Message_Omsg_OMPair @ V_msg1_H @ V_msg2_H )
!= ( c_Message_Omsg_ONonce @ V_nat ) ) )
= $true ),
inference(copy,[status(thm)],[728]) ).
thf(1509,plain,
( ( ! [V_nat: $i,V_msg1_H: $i,V_msg2_H: $i] :
( ( c_Message_Omsg_ONonce @ V_nat )
!= ( c_Message_Omsg_OMPair @ V_msg1_H @ V_msg2_H ) ) )
= $true ),
inference(copy,[status(thm)],[727]) ).
thf(1510,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oparts @ ( c_Message_Oparts @ V_H ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[726]) ).
thf(1511,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ V_H @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[725]) ).
thf(1512,plain,
( ( ! [V_a: $i,V_A: $i,T_a: $i] :
( ( ( c_Set_Oinsert @ V_a @ V_A @ T_a )
= V_A )
| ~ ( hBOOL @ ( c_in @ V_a @ V_A @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[724]) ).
thf(1513,plain,
( ( ! [V_x: $i,V_A: $i,T_a: $i,V_B: $i] :
( ( ( c_Set_Oinsert @ V_x @ V_A @ T_a )
!= ( c_Set_Oinsert @ V_x @ V_B @ T_a ) )
| ( hBOOL @ ( c_in @ V_x @ V_B @ T_a ) )
| ( hBOOL @ ( c_in @ V_x @ V_A @ T_a ) )
| ( V_A = V_B ) ) )
= $true ),
inference(copy,[status(thm)],[723]) ).
thf(1514,plain,
( ( ! [V_x: $i,V_B: $i,T_a: $i] : ( hBOOL @ ( c_in @ V_x @ ( c_Set_Oinsert @ V_x @ V_B @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[722]) ).
thf(1515,plain,
( ( ! [V_a: $i,V_B: $i,T_a: $i] : ( hBOOL @ ( c_in @ V_a @ ( c_Set_Oinsert @ V_a @ V_B @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[721]) ).
thf(1516,plain,
( ( ! [V_x: $i,V_A: $i,T_a: $i] : ( hBOOL @ ( c_in @ V_x @ ( c_Set_Oinsert @ V_x @ V_A @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[720]) ).
thf(1517,plain,
( ( ! [V_a: $i,V_A: $i,T_a: $i,V_b: $i] :
( ( hBOOL @ ( c_in @ V_a @ V_A @ T_a ) )
| ( V_a = V_b )
| ~ ( hBOOL @ ( c_in @ V_a @ ( c_Set_Oinsert @ V_b @ V_A @ T_a ) @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[719]) ).
thf(1518,plain,
( ( ! [V_a: $i,V_b: $i,V_B: $i,T_a: $i] :
( ( hBOOL @ ( c_in @ V_a @ ( c_Set_Oinsert @ V_b @ V_B @ T_a ) @ T_a ) )
| ~ ( hBOOL @ ( c_in @ V_a @ V_B @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[718]) ).
thf(1519,plain,
( ( ! [V_a: $i,V_b: $i,V_A: $i,T_a: $i] :
( ( hBOOL @ ( c_in @ V_a @ ( c_Set_Oinsert @ V_b @ V_A @ T_a ) @ T_a ) )
| ~ ( hBOOL @ ( c_in @ V_a @ V_A @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[717]) ).
thf(1520,plain,
( ( ! [V_y: $i,V_A: $i,T_a: $i,V_x: $i] :
( ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ V_y @ V_A @ T_a ) @ V_x ) )
| ~ ( hBOOL @ ( hAPP @ V_A @ V_x ) ) ) )
= $true ),
inference(copy,[status(thm)],[716]) ).
thf(1521,plain,
( ( ! [V_K: $i,V_X: $i,V_H: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[715]) ).
thf(1522,plain,
( ( ! [V_K: $i,V_N: $i,V_A: $i] :
( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ V_N ) @ V_A @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ V_N ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_A @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[714]) ).
thf(1523,plain,
( ( ! [V_x: $i,V_y: $i,V_A: $i,T_a: $i] :
( ( c_Set_Oinsert @ V_x @ ( c_Set_Oinsert @ V_y @ V_A @ T_a ) @ T_a )
= ( c_Set_Oinsert @ V_y @ ( c_Set_Oinsert @ V_x @ V_A @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[713]) ).
thf(1524,plain,
( ( ! [V_nat: $i,V_nat_H: $i] :
( ( ( c_Message_Omsg_ONonce @ V_nat )
!= ( c_Message_Omsg_ONonce @ V_nat_H ) )
| ( V_nat = V_nat_H ) ) )
= $true ),
inference(copy,[status(thm)],[712]) ).
thf(1525,plain,
( ( ! [V_b: $i,V_A: $i,V_c: $i,V_A_H: $i] :
( ( ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_A )
!= ( hAPP @ ( c_Public_OpublicKey @ V_c ) @ V_A_H ) )
| ( V_b = V_c ) ) )
= $true ),
inference(copy,[status(thm)],[711]) ).
thf(1526,plain,
( ( ! [V_b: $i,V_A: $i,V_c: $i,V_A_H: $i] :
( ( ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_A )
!= ( hAPP @ ( c_Public_OpublicKey @ V_c ) @ V_A_H ) )
| ( V_A = V_A_H ) ) )
= $true ),
inference(copy,[status(thm)],[710]) ).
thf(1527,plain,
( ( ! [V_b: $i,V_A: $i,V_c: $i,V_A_H: $i] :
( ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_A ) )
!= ( hAPP @ ( c_Public_OpublicKey @ V_c ) @ V_A_H ) ) )
= $true ),
inference(copy,[status(thm)],[709]) ).
thf(1528,plain,
( ( ! [V_K: $i,V_K_H: $i] :
( ( ( hAPP @ c_Message_OinvKey @ V_K )
!= ( hAPP @ c_Message_OinvKey @ V_K_H ) )
| ( V_K = V_K_H ) ) )
= $true ),
inference(copy,[status(thm)],[708]) ).
thf(1529,plain,
( ( ! [V_N: $i,V_H: $i] :
( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ V_N ) @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ V_N ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[707]) ).
thf(1530,plain,
( ( ! [V_x: $i,V_A: $i,T_a: $i] :
( ( c_Set_Oinsert @ V_x @ ( c_Set_Oinsert @ V_x @ V_A @ T_a ) @ T_a )
= ( c_Set_Oinsert @ V_x @ V_A @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[706]) ).
thf(1531,plain,
( ( ! [V_A: $i,V_x: $i,V_y: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_A @ V_x ) )
| ( V_y = V_x )
| ~ ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ V_y @ V_A @ T_a ) @ V_x ) ) ) )
= $true ),
inference(copy,[status(thm)],[705]) ).
thf(1532,plain,
( ( ! [V_X: $i,V_K: $i,V_N: $i,V_A: $i] :
( ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_X @ V_K ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ V_N ) @ V_A @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ V_N ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ V_X @ V_K ) @ V_A @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[704]) ).
thf(1533,plain,
( ( ! [V_X: $i,V_Y: $i,V_H: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ ( c_Set_Oinsert @ V_Y @ V_H @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[703]) ).
thf(1534,plain,
( ( ! [V_agt: $i,V_H: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ V_agt ) @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ V_agt ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[702]) ).
thf(1535,plain,
( ( ! [V_agent: $i,V_msg: $i,V_agent_H: $i,V_msg_H: $i] :
( ( ( c_Event_Oevent_OGets @ V_agent @ V_msg )
!= ( c_Event_Oevent_OGets @ V_agent_H @ V_msg_H ) )
| ( V_msg = V_msg_H ) ) )
= $true ),
inference(copy,[status(thm)],[701]) ).
thf(1536,plain,
( ( ! [V_agent: $i,V_msg: $i,V_agent_H: $i,V_msg_H: $i] :
( ( ( c_Event_Oevent_OGets @ V_agent @ V_msg )
!= ( c_Event_Oevent_OGets @ V_agent_H @ V_msg_H ) )
| ( V_agent = V_agent_H ) ) )
= $true ),
inference(copy,[status(thm)],[700]) ).
thf(1537,plain,
( ( ! [V_H: $i] :
( ( c_Message_Oparts @ ( c_Message_Oparts @ V_H ) )
= ( c_Message_Oparts @ V_H ) ) )
= $true ),
inference(copy,[status(thm)],[699]) ).
thf(1538,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) )
= ( c_Message_Oparts @ V_H ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[698]) ).
thf(1539,plain,
( ( ! [V_x: $i,V_A: $i,T_a: $i] : ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ V_x @ V_A @ T_a ) @ V_x ) ) )
= $true ),
inference(copy,[status(thm)],[697]) ).
thf(1540,plain,
( ( ! [V_K: $i] :
( ( hAPP @ c_Message_OinvKey @ ( hAPP @ c_Message_OinvKey @ V_K ) )
= V_K ) )
= $true ),
inference(copy,[status(thm)],[696]) ).
thf(1541,plain,
( ( ! [V_N: $i,V_H: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ V_N ) @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ V_N ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[695]) ).
thf(1542,plain,
( ( ! [V_A: $i,V_b: $i,V_C: $i] :
( ( hAPP @ c_Public_OshrK @ V_A )
!= ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_C ) ) ) )
= $true ),
inference(copy,[status(thm)],[694]) ).
thf(1543,plain,
( ( ! [V_K: $i,V_H: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[693]) ).
thf(1544,plain,
( ( ! [V_b: $i,V_C: $i,V_A: $i] :
( ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_C ) )
!= ( hAPP @ c_Public_OshrK @ V_A ) ) )
= $true ),
inference(copy,[status(thm)],[692]) ).
thf(1545,plain,
( ( ! [V_c: $i,V_a: $i,V_G: $i] :
( ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_a @ V_G @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oparts @ V_G ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[691]) ).
thf(1546,plain,
( ( ! [V_c: $i,V_A_H: $i,V_b: $i,V_A: $i] :
( ( hAPP @ ( c_Public_OpublicKey @ V_c ) @ V_A_H )
!= ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_A ) ) ) )
= $true ),
inference(copy,[status(thm)],[690]) ).
thf(1547,plain,
( ( ! [V_K: $i,V_X: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ V_K ) ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[689]) ).
thf(1548,plain,
( ( ! [V_X: $i,V_H: $i,V_K: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ V_K ) ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[688]) ).
thf(1549,plain,
( ( ! [V_b: $i,V_A: $i,V_evs: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ ( c_Public_OpublicKey @ V_b ) @ V_A ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[687]) ).
thf(1550,plain,
( ( ! [V_c: $i,V_evs: $i,V_A: $i,V_X: $i] :
( ~ ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[686]) ).
thf(1551,plain,
( ( ! [V_X: $i,V_A: $i,V_evs: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Event_Oknows @ V_A @ V_evs ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OGets @ V_A @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( V_A = c_Message_Oagent_OSpy ) ) )
= $true ),
inference(copy,[status(thm)],[685]) ).
thf(1552,plain,
( ( ! [V_A: $i,V_B: $i,V_X: $i,V_evs3: $i,V_NA: $i,V_S: $i,V_K: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ V_evs3 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_ONonce @ V_NA ) ) ) ) @ ( c_List_Oset @ V_evs3 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_S @ V_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evs3 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( V_A = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ V_evs3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[684]) ).
thf(1553,plain,
( ( ! [V_X: $i,V_evs: $i,V_A: $i,V_B: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(copy,[status(thm)],[683]) ).
thf(1554,plain,
( ( ! [V_NA: $i,V_NB: $i,V_K: $i,V_evso: $i,V_A: $i,V_B: $i,V_X: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NB ) @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) ) ) ) @ V_evso @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evso @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_B @ V_A @ ( c_Message_Omsg_OCrypt @ V_K @ ( c_Message_Omsg_ONonce @ V_NB ) ) ) @ ( c_List_Oset @ V_evso @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ V_evso ) ) ) )
= $true ),
inference(copy,[status(thm)],[682]) ).
thf(1555,plain,
( ( ! [V_A: $i,V_X: $i,V_evs: $i] :
( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ V_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) ) ) )
= $true ),
inference(copy,[status(thm)],[681]) ).
thf(1556,plain,
( ( ! [V_B: $i,V_X: $i,V_evsf: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ V_B @ V_X ) @ V_evsf @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evsf ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ V_evsf ) ) ) )
= $true ),
inference(copy,[status(thm)],[680]) ).
thf(1557,plain,
( ( ! [V_X: $i,V_evs: $i,V_S: $i,V_A: $i,V_KA: $i,V_N: $i,V_B: $i,V_K: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_S @ V_A @ ( c_Message_Omsg_OCrypt @ V_KA @ ( c_Message_Omsg_OMPair @ V_N @ ( c_Message_Omsg_OMPair @ V_B @ ( c_Message_Omsg_OMPair @ V_K @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(copy,[status(thm)],[679]) ).
thf(1558,plain,
( ( ! [V_A: $i,V_evs: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ V_A ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[678]) ).
thf(1559,plain,
( ( ! [V_A: $i,V_evs: $i] :
( ( hBOOL @ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ V_A ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[677]) ).
thf(1560,plain,
( ( ! [V_K: $i,V_evs: $i,V_A: $i,V_NA: $i,V_B: $i,V_X: $i] :
( ( hBOOL @ ( c_in @ V_K @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ V_B @ ( c_Message_Omsg_OMPair @ V_K @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(copy,[status(thm)],[676]) ).
thf(1561,plain,
( ( ! [V_X: $i,V_B: $i,V_K: $i,V_A: $i,V_evs: $i,V_NA: $i] :
( ( V_X
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OAgent @ V_A ) ) ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[675]) ).
thf(1562,plain,
( ( ! [V_A: $i,V_B: $i,V_X: $i,V_evs3: $i,V_NA: $i,V_S: $i,V_K: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ V_evs3 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_ONonce @ V_NA ) ) ) ) @ ( c_List_Oset @ V_evs3 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_S @ V_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evs3 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( V_A = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_in @ V_evs3 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[674]) ).
thf(1563,plain,
( ( ! [V_X: $i,V_evs: $i,V_B: $i,V_K: $i,V_A: $i,V_S: $i,V_NA: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ( V_X
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OAgent @ V_A ) ) ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_S @ V_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(copy,[status(thm)],[673]) ).
thf(1564,plain,
( ( ! [V_NA: $i,V_NB: $i,V_K: $i,V_evso: $i,V_A: $i,V_B: $i,V_X: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NB ) @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) ) ) ) @ V_evso @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ V_NA ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evso @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_B @ V_A @ ( c_Message_Omsg_OCrypt @ V_K @ ( c_Message_Omsg_ONonce @ V_NB ) ) ) @ ( c_List_Oset @ V_evso @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ V_evso @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[672]) ).
thf(1565,plain,
( ( ! [V_A: $i,V_NA: $i,V_B: $i,V_K: $i,V_X: $i,V_evs: $i] :
( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[671]) ).
thf(1566,plain,
( ( ! [V_agent: $i,V_agent_H: $i] :
( ( ( c_Message_Omsg_OAgent @ V_agent )
!= ( c_Message_Omsg_OAgent @ V_agent_H ) )
| ( V_agent = V_agent_H ) ) )
= $true ),
inference(copy,[status(thm)],[670]) ).
thf(1567,plain,
( ( ! [V_X: $i,V_A: $i,V_evs: $i,V_B: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Event_Oknows @ V_A @ V_evs ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(copy,[status(thm)],[669]) ).
thf(1568,plain,
( ( ! [V_Y: $i,V_H: $i,V_X: $i] :
( ( hBOOL @ ( c_in @ V_Y @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[668]) ).
thf(1569,plain,
( ( ! [V_X: $i,V_H: $i,V_Y: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[667]) ).
thf(1570,plain,
( ( ! [V_H: $i] :
( ( c_Message_Oanalz @ ( c_Message_Oanalz @ V_H ) )
= ( c_Message_Oanalz @ V_H ) ) )
= $true ),
inference(copy,[status(thm)],[666]) ).
thf(1571,plain,
( ( ! [V_Y: $i,V_H: $i,V_X: $i] :
( ( hBOOL @ ( c_in @ V_Y @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[665]) ).
thf(1572,plain,
( ( ! [V_X: $i,V_H: $i,V_Y: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[664]) ).
thf(1573,plain,
( ( ! [V_a: $i,V_list: $i,T_a: $i,V_a_H: $i,V_list_H: $i] :
( ( ( c_List_Olist_OCons @ V_a @ V_list @ T_a )
!= ( c_List_Olist_OCons @ V_a_H @ V_list_H @ T_a ) )
| ( V_list = V_list_H ) ) )
= $true ),
inference(copy,[status(thm)],[663]) ).
thf(1574,plain,
( ( ! [V_a: $i,V_list: $i,T_a: $i,V_a_H: $i,V_list_H: $i] :
( ( ( c_List_Olist_OCons @ V_a @ V_list @ T_a )
!= ( c_List_Olist_OCons @ V_a_H @ V_list_H @ T_a ) )
| ( V_a = V_a_H ) ) )
= $true ),
inference(copy,[status(thm)],[662]) ).
thf(1575,plain,
( ( ! [V_agent: $i,V_nat_H: $i] :
( ( c_Message_Omsg_OAgent @ V_agent )
!= ( hAPP @ c_Message_Omsg_OKey @ V_nat_H ) ) )
= $true ),
inference(copy,[status(thm)],[661]) ).
thf(1576,plain,
( ( ! [V_agent1: $i,V_agent2: $i,V_msg: $i,V_agent1_H: $i,V_agent2_H: $i,V_msg_H: $i] :
( ( ( c_Event_Oevent_OSays @ V_agent1 @ V_agent2 @ V_msg )
!= ( c_Event_Oevent_OSays @ V_agent1_H @ V_agent2_H @ V_msg_H ) )
| ( V_agent1 = V_agent1_H ) ) )
= $true ),
inference(copy,[status(thm)],[660]) ).
thf(1577,plain,
( ( ! [V_agent1: $i,V_agent2: $i,V_msg: $i,V_agent1_H: $i,V_agent2_H: $i,V_msg_H: $i] :
( ( ( c_Event_Oevent_OSays @ V_agent1 @ V_agent2 @ V_msg )
!= ( c_Event_Oevent_OSays @ V_agent1_H @ V_agent2_H @ V_msg_H ) )
| ( V_agent2 = V_agent2_H ) ) )
= $true ),
inference(copy,[status(thm)],[659]) ).
thf(1578,plain,
( ( ! [V_agent1: $i,V_agent2: $i,V_msg: $i,V_agent1_H: $i,V_agent2_H: $i,V_msg_H: $i] :
( ( ( c_Event_Oevent_OSays @ V_agent1 @ V_agent2 @ V_msg )
!= ( c_Event_Oevent_OSays @ V_agent1_H @ V_agent2_H @ V_msg_H ) )
| ( V_msg = V_msg_H ) ) )
= $true ),
inference(copy,[status(thm)],[658]) ).
thf(1579,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ V_H @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[657]) ).
thf(1580,plain,
( ( ! [V_X: $i,V_Y: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_Y @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[656]) ).
thf(1581,plain,
( ( ! [V_X: $i,V_evs: $i,V_A: $i,V_B: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(copy,[status(thm)],[655]) ).
thf(1582,plain,
( ( hBOOL @ ( c_in @ c_Message_Oagent_OSpy @ c_Event_Obad @ tc_Message_Oagent ) )
= $true ),
inference(copy,[status(thm)],[654]) ).
thf(1583,plain,
( ( ! [V_B: $i,V_X: $i,V_evsf: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ V_B @ V_X ) @ V_evsf @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evsf ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_evsf @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[653]) ).
thf(1584,plain,
( ( ! [V_agent: $i,V_msg: $i,V_agent_H: $i,V_msg_H: $i] :
( ( ( c_Event_Oevent_ONotes @ V_agent @ V_msg )
!= ( c_Event_Oevent_ONotes @ V_agent_H @ V_msg_H ) )
| ( V_agent = V_agent_H ) ) )
= $true ),
inference(copy,[status(thm)],[652]) ).
thf(1585,plain,
( ( ! [V_agent: $i,V_msg: $i,V_agent_H: $i,V_msg_H: $i] :
( ( ( c_Event_Oevent_ONotes @ V_agent @ V_msg )
!= ( c_Event_Oevent_ONotes @ V_agent_H @ V_msg_H ) )
| ( V_msg = V_msg_H ) ) )
= $true ),
inference(copy,[status(thm)],[651]) ).
thf(1586,plain,
( ( ! [V_nat_H: $i,V_msg_H: $i,V_nat: $i] :
( ( c_Message_Omsg_OCrypt @ V_nat_H @ V_msg_H )
!= ( hAPP @ c_Message_Omsg_OKey @ V_nat ) ) )
= $true ),
inference(copy,[status(thm)],[650]) ).
thf(1587,plain,
( ( ! [V_X: $i,V_evs: $i,V_A: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(copy,[status(thm)],[649]) ).
thf(1588,plain,
( ( ! [V_msg1_H: $i,V_msg2_H: $i,V_agent: $i] :
( ( c_Message_Omsg_OMPair @ V_msg1_H @ V_msg2_H )
!= ( c_Message_Omsg_OAgent @ V_agent ) ) )
= $true ),
inference(copy,[status(thm)],[648]) ).
thf(1589,plain,
( ( ! [V_K_H: $i,V_A: $i,V_evs: $i,V_N: $i,V_B: $i,V_K: $i,V_X: $i] :
( ( V_K_H
= ( hAPP @ c_Public_OshrK @ V_A ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OCrypt @ V_K_H @ ( c_Message_Omsg_OMPair @ V_N @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(copy,[status(thm)],[647]) ).
thf(1590,plain,
( ( ! [V_K: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_H @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[646]) ).
thf(1591,plain,
( ( ! [V_K: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_H @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[645]) ).
thf(1592,plain,
( ( ! [V_X: $i,V_H: $i,V_A: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ V_A ) ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ V_X ) @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[644]) ).
thf(1593,plain,
( ( ! [V_c: $i,V_evs: $i,V_A: $i,V_X: $i] :
( ~ ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[643]) ).
thf(1594,plain,
( ( c_Message_Oagent_OServer != c_Message_Oagent_OSpy )
= $true ),
inference(copy,[status(thm)],[642]) ).
thf(1595,plain,
( ( ! [V_X: $i,V_evs: $i,V_A: $i,V_B: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(copy,[status(thm)],[641]) ).
thf(1596,plain,
( ( ! [V_Y: $i,V_H: $i,V_X: $i] :
( ( hBOOL @ ( c_in @ V_Y @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ V_H @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[640]) ).
thf(1597,plain,
( ( ! [V_X: $i,V_H: $i,V_Y: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ V_H @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[639]) ).
thf(1598,plain,
( ( ! [V_A: $i,V_A_H: $i,V_evs: $i,V_NA_H: $i,V_B_H: $i,V_K: $i,V_X_H: $i,V_NA: $i,V_B: $i,V_X: $i] :
( ( V_A = V_A_H )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A_H @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A_H ) @ ( c_Message_Omsg_OMPair @ V_NA_H @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B_H ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X_H ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(copy,[status(thm)],[638]) ).
thf(1599,plain,
( ( ! [V_NA: $i,V_NA_H: $i,V_evs: $i,V_A_H: $i,V_B_H: $i,V_K: $i,V_X_H: $i,V_A: $i,V_B: $i,V_X: $i] :
( ( V_NA = V_NA_H )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A_H @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A_H ) @ ( c_Message_Omsg_OMPair @ V_NA_H @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B_H ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X_H ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(copy,[status(thm)],[637]) ).
thf(1600,plain,
( ( ! [V_B: $i,V_B_H: $i,V_evs: $i,V_A_H: $i,V_NA_H: $i,V_K: $i,V_X_H: $i,V_A: $i,V_NA: $i,V_X: $i] :
( ( V_B = V_B_H )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A_H @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A_H ) @ ( c_Message_Omsg_OMPair @ V_NA_H @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B_H ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X_H ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(copy,[status(thm)],[636]) ).
thf(1601,plain,
( ( ! [V_X: $i,V_X_H: $i,V_evs: $i,V_A_H: $i,V_NA_H: $i,V_B_H: $i,V_K: $i,V_A: $i,V_NA: $i,V_B: $i] :
( ( V_X = V_X_H )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A_H @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A_H ) @ ( c_Message_Omsg_OMPair @ V_NA_H @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B_H ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X_H ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(copy,[status(thm)],[635]) ).
thf(1602,plain,
( ( ! [V_nat: $i,V_nat_H: $i] :
( ( ( hAPP @ c_Message_Omsg_OKey @ V_nat )
!= ( hAPP @ c_Message_Omsg_OKey @ V_nat_H ) )
| ( V_nat = V_nat_H ) ) )
= $true ),
inference(copy,[status(thm)],[634]) ).
thf(1603,plain,
( ( ! [V_agent: $i,V_msg1_H: $i,V_msg2_H: $i] :
( ( c_Message_Omsg_OAgent @ V_agent )
!= ( c_Message_Omsg_OMPair @ V_msg1_H @ V_msg2_H ) ) )
= $true ),
inference(copy,[status(thm)],[633]) ).
thf(1604,plain,
( ( ! [V_A: $i,V_evs: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ V_A ) ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) ) ) )
= $true ),
inference(copy,[status(thm)],[632]) ).
thf(1605,plain,
( ( ! [V_X: $i,V_Y: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ V_X @ V_Y ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_Y @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[631]) ).
thf(1606,plain,
( ( ! [V_agent: $i,V_nat_H: $i,V_msg_H: $i] :
( ( c_Message_Omsg_OAgent @ V_agent )
!= ( c_Message_Omsg_OCrypt @ V_nat_H @ V_msg_H ) ) )
= $true ),
inference(copy,[status(thm)],[630]) ).
thf(1607,plain,
( ( ! [V_agent1: $i,V_agent2: $i,V_msg: $i,V_agent_H: $i,V_msg_H: $i] :
( ( c_Event_Oevent_OSays @ V_agent1 @ V_agent2 @ V_msg )
!= ( c_Event_Oevent_ONotes @ V_agent_H @ V_msg_H ) ) )
= $true ),
inference(copy,[status(thm)],[629]) ).
thf(1608,plain,
( ( ! [V_msg1: $i,V_msg2: $i,V_nat_H: $i,V_msg_H: $i] :
( ( c_Message_Omsg_OMPair @ V_msg1 @ V_msg2 )
!= ( c_Message_Omsg_OCrypt @ V_nat_H @ V_msg_H ) ) )
= $true ),
inference(copy,[status(thm)],[628]) ).
thf(1609,plain,
( ( ! [V_nat_H: $i,V_msg_H: $i,V_agent: $i] :
( ( c_Message_Omsg_OCrypt @ V_nat_H @ V_msg_H )
!= ( c_Message_Omsg_OAgent @ V_agent ) ) )
= $true ),
inference(copy,[status(thm)],[627]) ).
thf(1610,plain,
( ( ! [V_A: $i,V_evs: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ V_A ) ) @ ( c_Event_Oknows @ V_A @ V_evs ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[626]) ).
thf(1611,plain,
( ( ! [V_nat_H: $i,V_agent: $i] :
( ( hAPP @ c_Message_Omsg_OKey @ V_nat_H )
!= ( c_Message_Omsg_OAgent @ V_agent ) ) )
= $true ),
inference(copy,[status(thm)],[625]) ).
thf(1612,plain,
( ( ! [V_A: $i,V_evs: $i] :
( ( hBOOL @ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ V_A ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[624]) ).
thf(1613,plain,
( ( ! [V_A: $i,V_evs: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ V_A ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[623]) ).
thf(1614,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ ( c_Message_Oanalz @ V_H ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[622]) ).
thf(1615,plain,
( ( ! [V_x: $i,V_S: $i,T_a: $i] :
( ( hBOOL @ ( c_in @ V_x @ V_S @ T_a ) )
| ~ ( hBOOL @ ( hAPP @ V_S @ V_x ) ) ) )
= $true ),
inference(copy,[status(thm)],[621]) ).
thf(1616,plain,
( ( ! [V_S: $i,V_x: $i,T_a: $i] :
( ( hBOOL @ ( hAPP @ V_S @ V_x ) )
| ~ ( hBOOL @ ( c_in @ V_x @ V_S @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[620]) ).
thf(1617,plain,
( ( ! [V_nat: $i,V_msg: $i,V_nat_H: $i,V_msg_H: $i] :
( ( ( c_Message_Omsg_OCrypt @ V_nat @ V_msg )
!= ( c_Message_Omsg_OCrypt @ V_nat_H @ V_msg_H ) )
| ( V_nat = V_nat_H ) ) )
= $true ),
inference(copy,[status(thm)],[619]) ).
thf(1618,plain,
( ( ! [V_nat: $i,V_msg: $i,V_nat_H: $i,V_msg_H: $i] :
( ( ( c_Message_Omsg_OCrypt @ V_nat @ V_msg )
!= ( c_Message_Omsg_OCrypt @ V_nat_H @ V_msg_H ) )
| ( V_msg = V_msg_H ) ) )
= $true ),
inference(copy,[status(thm)],[618]) ).
thf(1619,plain,
( ( ! [V_y: $i,V_xs: $i,T_a: $i,V_x: $i] :
( ( hBOOL @ ( c_in @ V_y @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) )
| ( V_y = V_x )
| ~ ( hBOOL @ ( c_in @ V_y @ ( c_List_Oset @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[617]) ).
thf(1620,plain,
( ( ! [V_A: $i,V_X: $i,V_evs: $i] :
( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ V_evs @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) )
| ( hBOOL @ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) ) ) )
= $true ),
inference(copy,[status(thm)],[616]) ).
thf(1621,plain,
( ( ! [V_X: $i,V_A: $i,V_evs: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Event_Oknows @ V_A @ V_evs ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ V_A @ V_X ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(copy,[status(thm)],[615]) ).
thf(1622,plain,
( ( ! [V_msg1: $i,V_msg2: $i,V_msg1_H: $i,V_msg2_H: $i] :
( ( ( c_Message_Omsg_OMPair @ V_msg1 @ V_msg2 )
!= ( c_Message_Omsg_OMPair @ V_msg1_H @ V_msg2_H ) )
| ( V_msg1 = V_msg1_H ) ) )
= $true ),
inference(copy,[status(thm)],[614]) ).
thf(1623,plain,
( ( ! [V_msg1: $i,V_msg2: $i,V_msg1_H: $i,V_msg2_H: $i] :
( ( ( c_Message_Omsg_OMPair @ V_msg1 @ V_msg2 )
!= ( c_Message_Omsg_OMPair @ V_msg1_H @ V_msg2_H ) )
| ( V_msg2 = V_msg2_H ) ) )
= $true ),
inference(copy,[status(thm)],[613]) ).
thf(1624,plain,
( ( ! [V_X: $i,V_evs: $i,V_A: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_A ) @ V_X ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[612]) ).
thf(1625,plain,
( ( ! [V_agt: $i,V_H: $i] : ( hBOOL @ ( c_in @ ( c_Message_Omsg_OAgent @ V_agt ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[611]) ).
thf(1626,plain,
( ( ! [V_A: $i,V_H: $i] : ( hBOOL @ ( c_in @ ( c_Message_Omsg_OAgent @ V_A ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[610]) ).
thf(1627,plain,
( ( c_Message_Oagent_OSpy != c_Message_Oagent_OServer )
= $true ),
inference(copy,[status(thm)],[609]) ).
thf(1628,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ V_H @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[608]) ).
thf(1629,plain,
( ( ! [V_nat_H: $i,V_msg_H: $i,V_msg1: $i,V_msg2: $i] :
( ( c_Message_Omsg_OCrypt @ V_nat_H @ V_msg_H )
!= ( c_Message_Omsg_OMPair @ V_msg1 @ V_msg2 ) ) )
= $true ),
inference(copy,[status(thm)],[607]) ).
thf(1630,plain,
( ( ! [V_X: $i,V_B: $i,V_K: $i,V_A: $i,V_evs: $i,V_K_H: $i,V_N: $i] :
( ( V_X
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ ( c_Message_Omsg_OAgent @ V_A ) ) ) )
| ~ ( hBOOL @ ( c_in @ V_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ V_A @ ( c_Message_Omsg_OCrypt @ V_K_H @ ( c_Message_Omsg_OMPair @ V_N @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ V_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_X ) ) ) ) ) @ ( c_List_Oset @ V_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(copy,[status(thm)],[606]) ).
thf(1631,plain,
( ( ! [V_nat: $i,V_msg1_H: $i,V_msg2_H: $i] :
( ( hAPP @ c_Message_Omsg_OKey @ V_nat )
!= ( c_Message_Omsg_OMPair @ V_msg1_H @ V_msg2_H ) ) )
= $true ),
inference(copy,[status(thm)],[605]) ).
thf(1632,plain,
( ( ! [V_K: $i,V_X: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_H @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[604]) ).
thf(1633,plain,
( ( ! [V_K: $i,V_X: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_H @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[603]) ).
thf(1634,plain,
( ( ! [V_K: $i,V_H: $i,V_X: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_H @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[602]) ).
thf(1635,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ ( c_Message_Osynth @ V_H ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[601]) ).
thf(1636,plain,
( ( ! [V_H: $i] :
( ( c_Message_Osynth @ ( c_Message_Osynth @ V_H ) )
= ( c_Message_Osynth @ V_H ) ) )
= $true ),
inference(copy,[status(thm)],[600]) ).
thf(1637,plain,
( ( ! [V_X: $i,V_H: $i,V_K: $i] :
( ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ V_H @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[599]) ).
thf(1638,plain,
( ( ~ ( hBOOL @ ( c_in @ c_Message_Oagent_OServer @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true ),
inference(copy,[status(thm)],[598]) ).
thf(1639,plain,
( ( ! [V_x: $i,V_t: $i,T_a: $i] :
( ( c_List_Olist_OCons @ V_x @ V_t @ T_a )
!= V_t ) )
= $true ),
inference(copy,[status(thm)],[597]) ).
thf(1640,plain,
( ( ! [V_xs: $i,V_x: $i,T_a: $i] :
( V_xs
!= ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[596]) ).
thf(1641,plain,
( ( ! [V_c: $i,V_evs: $i,V_A: $i,V_B: $i,V_X: $i] :
( ~ ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ V_c @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ V_A @ V_B @ V_X ) @ V_evs @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[595]) ).
thf(1642,plain,
( ( ! [V_msg1_H: $i,V_msg2_H: $i,V_nat: $i] :
( ( c_Message_Omsg_OMPair @ V_msg1_H @ V_msg2_H )
!= ( hAPP @ c_Message_Omsg_OKey @ V_nat ) ) )
= $true ),
inference(copy,[status(thm)],[594]) ).
thf(1643,plain,
( ( ! [V_K: $i,V_X: $i,V_H: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) @ V_H @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ V_X @ ( c_Message_Osynth @ V_H ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[593]) ).
thf(1644,plain,
( ( ! [V_agent_H: $i,V_msg_H: $i,V_agent1: $i,V_agent2: $i,V_msg: $i] :
( ( c_Event_Oevent_ONotes @ V_agent_H @ V_msg_H )
!= ( c_Event_Oevent_OSays @ V_agent1 @ V_agent2 @ V_msg ) ) )
= $true ),
inference(copy,[status(thm)],[592]) ).
thf(1645,plain,
( ( ! [V_nat: $i,V_nat_H: $i,V_msg_H: $i] :
( ( hAPP @ c_Message_Omsg_OKey @ V_nat )
!= ( c_Message_Omsg_OCrypt @ V_nat_H @ V_msg_H ) ) )
= $true ),
inference(copy,[status(thm)],[591]) ).
thf(1646,plain,
( ( ! [V_x: $i,V_y: $i] :
( ( ( hAPP @ c_Public_OshrK @ V_x )
!= ( hAPP @ c_Public_OshrK @ V_y ) )
| ( V_x = V_y ) ) )
= $true ),
inference(copy,[status(thm)],[590]) ).
thf(1647,plain,
( ( ! [T_2: $i,T_1: $i] :
( ( class_Lattices_Oupper__semilattice @ ( tc_fun @ T_2 @ T_1 ) )
| ~ ( class_Lattices_Olattice @ T_1 ) ) )
= $true ),
inference(copy,[status(thm)],[589]) ).
thf(1648,plain,
( ( ! [T_2: $i,T_1: $i] :
( ( class_Lattices_Obounded__lattice @ ( tc_fun @ T_2 @ T_1 ) )
| ~ ( class_Lattices_Obounded__lattice @ T_1 ) ) )
= $true ),
inference(copy,[status(thm)],[588]) ).
thf(1649,plain,
( ( ! [T_2: $i,T_1: $i] :
( ( class_Lattices_Oboolean__algebra @ ( tc_fun @ T_2 @ T_1 ) )
| ~ ( class_Lattices_Oboolean__algebra @ T_1 ) ) )
= $true ),
inference(copy,[status(thm)],[587]) ).
thf(1650,plain,
( ( ! [T_2: $i,T_1: $i] :
( ( class_Orderings_Opreorder @ ( tc_fun @ T_2 @ T_1 ) )
| ~ ( class_Orderings_Opreorder @ T_1 ) ) )
= $true ),
inference(copy,[status(thm)],[586]) ).
thf(1651,plain,
( ( ! [T_2: $i,T_1: $i] :
( ( class_Lattices_Olattice @ ( tc_fun @ T_2 @ T_1 ) )
| ~ ( class_Lattices_Olattice @ T_1 ) ) )
= $true ),
inference(copy,[status(thm)],[585]) ).
thf(1652,plain,
( ( ! [T_2: $i,T_1: $i] :
( ( class_Orderings_Oorder @ ( tc_fun @ T_2 @ T_1 ) )
| ~ ( class_Orderings_Oorder @ T_1 ) ) )
= $true ),
inference(copy,[status(thm)],[584]) ).
thf(1653,plain,
( ( ! [T_2: $i,T_1: $i] :
( ( class_Orderings_Otop @ ( tc_fun @ T_2 @ T_1 ) )
| ~ ( class_Orderings_Otop @ T_1 ) ) )
= $true ),
inference(copy,[status(thm)],[583]) ).
thf(1654,plain,
( ( ! [T_2: $i,T_1: $i] :
( ( class_Orderings_Obot @ ( tc_fun @ T_2 @ T_1 ) )
| ~ ( class_Orderings_Obot @ T_1 ) ) )
= $true ),
inference(copy,[status(thm)],[582]) ).
thf(1655,plain,
( ( ! [T_2: $i,T_1: $i] :
( ( class_HOL_Ouminus @ ( tc_fun @ T_2 @ T_1 ) )
| ~ ( class_HOL_Ouminus @ T_1 ) ) )
= $true ),
inference(copy,[status(thm)],[581]) ).
thf(1656,plain,
( ( ! [T_2: $i,T_1: $i] :
( ( class_HOL_Oord @ ( tc_fun @ T_2 @ T_1 ) )
| ~ ( class_HOL_Oord @ T_1 ) ) )
= $true ),
inference(copy,[status(thm)],[580]) ).
thf(1657,plain,
( ( class_Lattices_Oupper__semilattice @ tc_nat )
= $true ),
inference(copy,[status(thm)],[579]) ).
thf(1658,plain,
( ( class_Orderings_Opreorder @ tc_nat )
= $true ),
inference(copy,[status(thm)],[578]) ).
thf(1659,plain,
( ( class_Orderings_Olinorder @ tc_nat )
= $true ),
inference(copy,[status(thm)],[577]) ).
thf(1660,plain,
( ( class_Lattices_Olattice @ tc_nat )
= $true ),
inference(copy,[status(thm)],[576]) ).
thf(1661,plain,
( ( class_Orderings_Oorder @ tc_nat )
= $true ),
inference(copy,[status(thm)],[575]) ).
thf(1662,plain,
( ( class_Orderings_Obot @ tc_nat )
= $true ),
inference(copy,[status(thm)],[574]) ).
thf(1663,plain,
( ( class_HOL_Oord @ tc_nat )
= $true ),
inference(copy,[status(thm)],[573]) ).
thf(1664,plain,
( ( class_Lattices_Oupper__semilattice @ tc_bool )
= $true ),
inference(copy,[status(thm)],[572]) ).
thf(1665,plain,
( ( class_Lattices_Obounded__lattice @ tc_bool )
= $true ),
inference(copy,[status(thm)],[571]) ).
thf(1666,plain,
( ( class_Lattices_Oboolean__algebra @ tc_bool )
= $true ),
inference(copy,[status(thm)],[570]) ).
thf(1667,plain,
( ( class_Orderings_Opreorder @ tc_bool )
= $true ),
inference(copy,[status(thm)],[569]) ).
thf(1668,plain,
( ( class_Lattices_Olattice @ tc_bool )
= $true ),
inference(copy,[status(thm)],[568]) ).
thf(1669,plain,
( ( class_Orderings_Oorder @ tc_bool )
= $true ),
inference(copy,[status(thm)],[567]) ).
thf(1670,plain,
( ( class_Orderings_Otop @ tc_bool )
= $true ),
inference(copy,[status(thm)],[566]) ).
thf(1671,plain,
( ( class_Orderings_Obot @ tc_bool )
= $true ),
inference(copy,[status(thm)],[565]) ).
thf(1672,plain,
( ( class_HOL_Ouminus @ tc_bool )
= $true ),
inference(copy,[status(thm)],[564]) ).
thf(1673,plain,
( ( class_HOL_Oord @ tc_bool )
= $true ),
inference(copy,[status(thm)],[563]) ).
thf(1674,plain,
( ( ! [V_x: $i,T_a: $i] : ( c_fequal @ V_x @ V_x @ T_a ) )
= $true ),
inference(copy,[status(thm)],[562]) ).
thf(1675,plain,
( ( ! [V_X: $i,V_Y: $i,T_a: $i] :
( ( V_X = V_Y )
| ~ ( c_fequal @ V_X @ V_Y @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[561]) ).
thf(1676,plain,
( ( ~ $false ) = $true ),
inference(copy,[status(thm)],[1118]) ).
thf(1677,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( ( c_Message_Omsg_OAgent @ SX0 )
!= ( c_Message_Omsg_OAgent @ SX1 ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1566]) ).
thf(1678,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( hAPP @ c_Message_Omsg_OKey @ SX0 )
!= ( c_Message_Omsg_OAgent @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1611]) ).
thf(1679,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( c_Event_Oevent_OGets @ SX0 @ SX1 )
!= ( c_Event_Oevent_ONotes @ SX2 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1492]) ).
thf(1680,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( ( c_HOL_Ouminus__class_Ouminus @ SX0 @ ( tc_fun @ SX1 @ tc_bool ) )
!= ( c_HOL_Ouminus__class_Ouminus @ SX2 @ ( tc_fun @ SX1 @ tc_bool ) ) )
| ( SX0 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1170]) ).
thf(1681,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ( c_Event_Oevent_OSays @ SX0 @ SX1 @ SX2 )
!= ( c_Event_Oevent_OGets @ SX3 @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1498]) ).
thf(1682,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( c_Message_Omsg_OAgent @ SX0 )
!= ( c_Message_Omsg_OMPair @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1603]) ).
thf(1683,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( c_Message_Omsg_OCrypt @ SX0 @ SX1 )
!= ( c_Message_Omsg_ONonce @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1507]) ).
thf(1684,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ SX0 ) )
!= ( hAPP @ c_Public_OshrK @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1246]) ).
thf(1685,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SX0 @ SX1 @ ( tc_fun @ SX2 @ tc_bool ) )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SX2 @ tc_bool ) ) )
| ( SX1
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SX2 @ tc_bool ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1228]) ).
thf(1686,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SX0 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SX1 @ SX2 @ SX0 )
!= SX2 )
| ( c_lessequals @ SX1 @ SX2 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1351]) ).
thf(1687,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ( ( c_Set_Oinsert @ SX0 @ ( c_Set_Oinsert @ SX1 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SX2 @ tc_bool ) ) @ SX2 ) @ SX2 )
!= ( c_Set_Oinsert @ SX3 @ ( c_Set_Oinsert @ SX4 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SX2 @ tc_bool ) ) @ SX2 ) @ SX2 ) )
| ( SX1 = SX3 )
| ( SX0 = SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1207]) ).
thf(1688,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SX0 @ tc_bool ) )
!= ( c_Set_Oinsert @ SX1 @ SX2 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1202]) ).
thf(1689,plain,
( ( c_Message_Oagent_OServer != c_Message_Oagent_OSpy )
= $true ),
inference(unfold_def,[status(thm)],[1594]) ).
thf(1690,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( c_Message_Omsg_OAgent @ SX0 )
!= ( hAPP @ c_Message_Omsg_OKey @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1575]) ).
thf(1691,plain,
( ( ! [SX0: $i] :
( c_Message_Oagent_OServer
!= ( c_Message_Oagent_OFriend @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1130]) ).
thf(1692,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( ( c_Message_Omsg_ONonce @ SX0 )
!= ( c_Message_Omsg_ONonce @ SX1 ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1524]) ).
thf(1693,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( hAPP @ c_Message_Omsg_OKey @ SX0 )
!= ( c_Message_Omsg_ONonce @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1503]) ).
thf(1694,plain,
( ( ! [SX0: $i] :
( ( c_Message_Oagent_OFriend @ SX0 )
!= c_Message_Oagent_OSpy ) )
= $true ),
inference(unfold_def,[status(thm)],[1128]) ).
thf(1695,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( c_Message_Omsg_OAgent @ SX0 )
!= ( c_Message_Omsg_OCrypt @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1606]) ).
thf(1696,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( c_List_Olist_OCons @ SX0 @ SX1 @ SX2 )
!= SX1 ) )
= $true ),
inference(unfold_def,[status(thm)],[1639]) ).
thf(1697,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( c_Message_Omsg_OAgent @ SX0 )
!= ( c_Message_Omsg_ONonce @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1499]) ).
thf(1698,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SX0 ) @ SX1 ) )
!= ( hAPP @ ( c_Public_OpublicKey @ SX2 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1527]) ).
thf(1699,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( ( c_Event_Oevent_OGets @ SX0 @ SX1 )
!= ( c_Event_Oevent_OGets @ SX2 @ SX3 ) )
| ( SX0 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1536]) ).
thf(1700,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( SX0
!= ( c_List_Olist_OCons @ SX1 @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1640]) ).
thf(1701,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SX0 @ SX1 @ ( tc_fun @ SX2 @ tc_bool ) )
!= SX1 )
| ( c_lessequals @ SX0 @ SX1 @ ( tc_fun @ SX2 @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1347]) ).
thf(1702,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( ( c_Message_Oanalz @ SX0 )
!= ( c_Message_Oanalz @ SX1 ) )
| ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SX2 @ SX0 @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ ( c_Set_Oinsert @ SX2 @ SX1 @ tc_Message_Omsg ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1504]) ).
thf(1703,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( ( c_Message_Omsg_OCrypt @ SX0 @ SX1 )
!= ( c_Message_Omsg_OCrypt @ SX2 @ SX3 ) )
| ( SX0 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1617]) ).
thf(1704,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( c_Message_Omsg_ONonce @ SX0 )
!= ( hAPP @ c_Message_Omsg_OKey @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1502]) ).
thf(1705,plain,
( ( c_Message_Oagent_OSpy != c_Message_Oagent_OServer )
= $true ),
inference(unfold_def,[status(thm)],[1627]) ).
thf(1706,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( hAPP @ c_Public_OshrK @ SX0 )
!= ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SX1 ) @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1542]) ).
thf(1707,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( ( c_Set_Oinsert @ SX0 @ SX1 @ SX2 )
!= ( c_Set_Oinsert @ SX0 @ SX3 @ SX2 ) )
| ( hBOOL @ ( c_in @ SX0 @ SX3 @ SX2 ) )
| ( hBOOL @ ( c_in @ SX0 @ SX1 @ SX2 ) )
| ( SX1 = SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1513]) ).
thf(1708,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SX0 @ SX1 @ ( tc_fun @ SX2 @ tc_bool ) )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SX2 @ tc_bool ) ) )
| ( SX0
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SX2 @ tc_bool ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1229]) ).
thf(1709,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( ( c_Set_Oinsert @ SX0 @ SX1 @ SX2 )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SX2 @ tc_bool ) ) )
| ( hBOOL @ ( c_in @ SX0 @ SX1 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1198]) ).
thf(1710,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( hAPP @ c_Message_Omsg_OKey @ SX0 )
!= ( c_Message_Omsg_OCrypt @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1645]) ).
thf(1711,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( ( hAPP @ ( c_Public_OpublicKey @ SX0 ) @ SX1 )
!= ( hAPP @ ( c_Public_OpublicKey @ SX2 ) @ SX3 ) )
| ( SX1 = SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1526]) ).
thf(1712,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( ( hAPP @ c_Public_OshrK @ SX0 )
!= ( hAPP @ c_Public_OshrK @ SX1 ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1646]) ).
thf(1713,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( hAPP @ ( c_Public_OpublicKey @ SX0 ) @ SX1 )
!= ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SX2 ) @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1546]) ).
thf(1714,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ( ( c_Set_Oinsert @ SX0 @ ( c_Set_Oinsert @ SX1 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SX2 @ tc_bool ) ) @ SX2 ) @ SX2 )
!= ( c_Set_Oinsert @ SX3 @ ( c_Set_Oinsert @ SX4 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SX2 @ tc_bool ) ) @ SX2 ) @ SX2 ) )
| ( SX0 = SX4 )
| ( SX1 = SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1206]) ).
thf(1715,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( class_Lattices_Obounded__lattice @ SX0 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SX1 @ SX2 @ SX0 )
!= ( c_Orderings_Obot__class_Obot @ SX0 ) )
| ( SX2
= ( c_Orderings_Obot__class_Obot @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1231]) ).
thf(1716,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
( ( ( c_Event_Oevent_OSays @ SX0 @ SX1 @ SX2 )
!= ( c_Event_Oevent_OSays @ SX3 @ SX4 @ SX5 ) )
| ( SX2 = SX5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1578]) ).
thf(1717,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( ( hAPP @ ( c_Public_OpublicKey @ SX0 ) @ SX1 )
!= ( hAPP @ ( c_Public_OpublicKey @ SX2 ) @ SX3 ) )
| ( SX0 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1525]) ).
thf(1718,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ( ( c_List_Olist_OCons @ SX0 @ SX1 @ SX2 )
!= ( c_List_Olist_OCons @ SX3 @ SX4 @ SX2 ) )
| ( SX0 = SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1574]) ).
thf(1719,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( hAPP @ ( c_Public_OpublicKey @ SX0 ) @ SX1 )
!= ( hAPP @ c_Public_OshrK @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1495]) ).
thf(1720,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( ( c_Message_Oanalz @ SX0 )
!= ( c_Message_Oanalz @ SX1 ) )
| ( ( c_Message_Oanalz @ SX2 )
!= ( c_Message_Oanalz @ SX3 ) )
| ( ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SX2 @ SX0 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SX3 @ SX1 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1440]) ).
thf(1721,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SX0 @ tc_bool ) )
!= ( c_Set_Oimage @ SX1 @ SX2 @ SX3 @ SX0 ) )
| ( SX2
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SX3 @ tc_bool ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1220]) ).
thf(1722,plain,
( ( c_Public_Okeymode_OEncryption != c_Public_Okeymode_OSignature )
= $true ),
inference(unfold_def,[status(thm)],[1165]) ).
thf(1723,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( c_Message_Omsg_OMPair @ SX0 @ SX1 )
!= ( c_Message_Omsg_OAgent @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1588]) ).
thf(1724,plain,
( ( ! [SX0: $i] :
( c_Message_Oagent_OSpy
!= ( c_Message_Oagent_OFriend @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1129]) ).
thf(1725,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ( ( c_Set_Oinsert @ SX0 @ ( c_Set_Oinsert @ SX1 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SX2 @ tc_bool ) ) @ SX2 ) @ SX2 )
!= ( c_Set_Oinsert @ SX3 @ ( c_Set_Oinsert @ SX4 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SX2 @ tc_bool ) ) @ SX2 ) @ SX2 ) )
| ( SX0 = SX4 )
| ( SX0 = SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1208]) ).
thf(1726,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( class_OrderedGroup_Ogroup__add @ SX0 )
| ( ( c_HOL_Ouminus__class_Ouminus @ SX1 @ SX0 )
!= ( c_HOL_Ouminus__class_Ouminus @ SX2 @ SX0 ) )
| ( SX1 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1169]) ).
thf(1727,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( c_Event_Oevent_ONotes @ SX0 @ SX1 )
!= ( c_Event_Oevent_OGets @ SX2 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1493]) ).
thf(1728,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( c_Set_Oinsert @ SX0 @ SX1 @ SX2 )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SX2 @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1217]) ).
thf(1729,plain,
( ( c_Public_Okeymode_OSignature != c_Public_Okeymode_OEncryption )
= $true ),
inference(unfold_def,[status(thm)],[1155]) ).
thf(1730,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( c_Message_Omsg_OCrypt @ SX0 @ SX1 )
!= ( c_Message_Omsg_OMPair @ SX2 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1629]) ).
thf(1731,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( c_Message_Omsg_ONonce @ SX0 )
!= ( c_Message_Omsg_OAgent @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1500]) ).
thf(1732,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( ( hAPP @ c_Message_OinvKey @ SX0 )
!= ( hAPP @ c_Message_OinvKey @ SX1 ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1528]) ).
thf(1733,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( ( c_Event_Oevent_OGets @ SX0 @ SX1 )
!= ( c_Event_Oevent_OGets @ SX2 @ SX3 ) )
| ( SX1 = SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1535]) ).
thf(1734,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( ( c_Event_Oevent_ONotes @ SX0 @ SX1 )
!= ( c_Event_Oevent_ONotes @ SX2 @ SX3 ) )
| ( SX0 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1584]) ).
thf(1735,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( class_Lattices_Oboolean__algebra @ SX0 )
| ( ( c_HOL_Ouminus__class_Ouminus @ SX1 @ SX0 )
!= ( c_HOL_Ouminus__class_Ouminus @ SX2 @ SX0 ) )
| ( SX1 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1168]) ).
thf(1736,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ( c_Event_Oevent_OSays @ SX0 @ SX1 @ SX2 )
!= ( c_Event_Oevent_ONotes @ SX3 @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1607]) ).
thf(1737,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( ( c_Message_Omsg_OMPair @ SX0 @ SX1 )
!= ( c_Message_Omsg_OMPair @ SX2 @ SX3 ) )
| ( SX0 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1622]) ).
thf(1738,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( c_Message_Omsg_OMPair @ SX0 @ SX1 )
!= ( c_Message_Omsg_ONonce @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1508]) ).
thf(1739,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( hAPP @ c_Message_Omsg_OKey @ SX0 )
!= ( c_Message_Omsg_OMPair @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1631]) ).
thf(1740,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ( ( c_List_Olist_OCons @ SX0 @ SX1 @ SX2 )
!= ( c_List_Olist_OCons @ SX3 @ SX4 @ SX2 ) )
| ( SX1 = SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1573]) ).
thf(1741,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( c_Message_Omsg_OMPair @ SX0 @ SX1 )
!= ( c_Message_Omsg_OCrypt @ SX2 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1608]) ).
thf(1742,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( c_Message_Omsg_OMPair @ SX0 @ SX1 )
!= ( hAPP @ c_Message_Omsg_OKey @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1642]) ).
thf(1743,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
( ( ( c_Event_Oevent_OSays @ SX0 @ SX1 @ SX2 )
!= ( c_Event_Oevent_OSays @ SX3 @ SX4 @ SX5 ) )
| ( SX0 = SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1576]) ).
thf(1744,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( ( c_Message_Omsg_OCrypt @ SX0 @ SX1 )
!= ( c_Message_Omsg_OCrypt @ SX2 @ SX3 ) )
| ( SX1 = SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1618]) ).
thf(1745,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( ( hAPP @ c_Message_Omsg_OKey @ SX0 )
!= ( hAPP @ c_Message_Omsg_OKey @ SX1 ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1602]) ).
thf(1746,plain,
( ( ! [SX0: $i] :
( ( c_Message_Oagent_OFriend @ SX0 )
!= c_Message_Oagent_OServer ) )
= $true ),
inference(unfold_def,[status(thm)],[1131]) ).
thf(1747,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ( ( c_Set_Oinsert @ SX0 @ ( c_Set_Oinsert @ SX1 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SX2 @ tc_bool ) ) @ SX2 ) @ SX2 )
!= ( c_Set_Oinsert @ SX3 @ ( c_Set_Oinsert @ SX4 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SX2 @ tc_bool ) ) @ SX2 ) @ SX2 ) )
| ( SX1 = SX3 )
| ( SX1 = SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1205]) ).
thf(1748,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ( c_Event_Oevent_ONotes @ SX0 @ SX1 )
!= ( c_Event_Oevent_OSays @ SX2 @ SX3 @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1644]) ).
thf(1749,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( ( c_Set_Oimage @ SX0 @ SX1 @ SX2 @ SX3 )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SX3 @ tc_bool ) ) )
| ( SX1
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SX2 @ tc_bool ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1201]) ).
thf(1750,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( c_Message_Omsg_OCrypt @ SX0 @ SX1 )
!= ( c_Message_Omsg_OAgent @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1609]) ).
thf(1751,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( ( c_Message_Oagent_OFriend @ SX0 )
!= ( c_Message_Oagent_OFriend @ SX1 ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1127]) ).
thf(1752,plain,
( ( ! [SX0: $i] :
( ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SX0 @ tc_bool ) )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SX0 @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1211]) ).
thf(1753,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( c_Message_Omsg_ONonce @ SX0 )
!= ( c_Message_Omsg_OMPair @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1509]) ).
thf(1754,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( hAPP @ c_Public_OshrK @ SX0 )
!= ( hAPP @ ( c_Public_OpublicKey @ SX1 ) @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1496]) ).
thf(1755,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SX0 ) @ SX1 ) )
!= ( hAPP @ c_Public_OshrK @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1544]) ).
thf(1756,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
( ( ( c_Event_Oevent_OSays @ SX0 @ SX1 @ SX2 )
!= ( c_Event_Oevent_OSays @ SX3 @ SX4 @ SX5 ) )
| ( SX1 = SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1577]) ).
thf(1757,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( c_Message_Omsg_ONonce @ SX0 )
!= ( c_Message_Omsg_OCrypt @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1506]) ).
thf(1758,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( ( c_Set_Oinsert @ SX0 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SX1 @ tc_bool ) ) @ SX1 )
!= ( c_Set_Oinsert @ SX2 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SX1 @ tc_bool ) ) @ SX1 ) )
| ( SX0 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1226]) ).
thf(1759,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ~ ( class_Lattices_Obounded__lattice @ SX0 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SX1 @ SX2 @ SX0 )
!= ( c_Orderings_Obot__class_Obot @ SX0 ) )
| ( SX1
= ( c_Orderings_Obot__class_Obot @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1230]) ).
thf(1760,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( ( c_Message_Omsg_OMPair @ SX0 @ SX1 )
!= ( c_Message_Omsg_OMPair @ SX2 @ SX3 ) )
| ( SX1 = SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1623]) ).
thf(1761,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( c_Message_Omsg_OCrypt @ SX0 @ SX1 )
!= ( hAPP @ c_Message_Omsg_OKey @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1586]) ).
thf(1762,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ( c_Event_Oevent_OGets @ SX0 @ SX1 )
!= ( c_Event_Oevent_OSays @ SX2 @ SX3 @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1497]) ).
thf(1763,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( ( c_Event_Oevent_ONotes @ SX0 @ SX1 )
!= ( c_Event_Oevent_ONotes @ SX2 @ SX3 ) )
| ( SX1 = SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1585]) ).
thf(1764,plain,
( ( hBOOL @ ( c_in @ v_A @ c_Event_Obad @ tc_Message_Oagent ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1119]) ).
thf(1765,plain,
( ( hBOOL @ ( c_in @ v_B @ c_Event_Obad @ tc_Message_Oagent ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1120]) ).
thf(1766,plain,
! [SV1: $i] :
( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ SV1 @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) ) ) ) @ ( c_List_Oset @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ v_Ba @ v_X ) @ v_evsf @ tc_Event_Oevent ) @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1124]) ).
thf(1767,plain,
( ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ v_x @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) ) ) ) @ ( c_List_Oset @ v_evsf @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ v_A ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Omsg_OAgent @ v_A ) ) ) ) ) ) ) ) @ ( c_List_Oset @ v_evsf @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1126]) ).
thf(1768,plain,
! [SV2: $i] :
( ( ! [SY1614: $i,SY1615: $i] :
( ( hBOOL @ ( c_in @ SV2 @ ( c_Event_Oused @ SY1614 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV2 @ ( c_Message_Oparts @ ( c_Event_OinitState @ SY1615 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1132]) ).
thf(1769,plain,
! [SV3: $i] :
( ( ! [SY1616: $i,SY1617: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ ( c_Public_OpublicKey @ SV3 ) @ SY1616 ) ) @ ( c_Event_OinitState @ SY1617 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1133]) ).
thf(1770,plain,
! [SV4: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV4 ) ) @ ( c_Event_OinitState @ SV4 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1134]) ).
thf(1771,plain,
! [SV5: $i] :
( ( ! [SY1618: $i] :
~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV5 ) @ ( c_Message_Oparts @ ( c_Event_OinitState @ SY1618 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1135]) ).
thf(1772,plain,
! [SV6: $i] :
( ( ! [SY1619: $i,SY1620: $i] :
~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV6 @ SY1619 ) @ ( c_Message_Oparts @ ( c_Event_OinitState @ SY1620 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1136]) ).
thf(1773,plain,
( ( ( ~ ( class_HOL_Ouminus @ t_b ) )
= $true )
| ( ( ( hAPP @ ( c_HOL_Ouminus__class_Ouminus @ v_A @ ( tc_fun @ t_a @ t_b ) ) @ v_x )
= ( c_HOL_Ouminus__class_Ouminus @ ( hAPP @ v_A @ v_x ) @ t_b ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1137]) ).
thf(1774,plain,
! [SV7: $i] :
( ( ! [SY1621: $i,SY1622: $i] :
( ~ ( hBOOL @ ( c_in @ SV7 @ SY1621 @ SY1622 ) )
| ~ ( hBOOL @ ( c_in @ SV7 @ ( c_HOL_Ouminus__class_Ouminus @ SY1621 @ ( tc_fun @ SY1622 @ tc_bool ) ) @ SY1622 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1138]) ).
thf(1775,plain,
! [SV8: $i] :
( ( ! [SY1623: $i,SY1624: $i] :
( ( hBOOL @ ( c_in @ SV8 @ ( c_HOL_Ouminus__class_Ouminus @ SY1623 @ ( tc_fun @ SY1624 @ tc_bool ) ) @ SY1624 ) )
| ( hBOOL @ ( c_in @ SV8 @ SY1623 @ SY1624 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1139]) ).
thf(1776,plain,
! [SV9: $i] :
( ( ! [SY1625: $i,SY1626: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV9 )
| ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SY1625 @ SV9 ) @ SY1626 @ SV9 )
| ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SY1626 @ SV9 ) @ SY1625 @ SV9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1140]) ).
thf(1777,plain,
! [SV10: $i] :
( ( ! [SY1627: $i,SY1628: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV10 )
| ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SY1627 @ SV10 ) @ SY1628 @ SV10 )
| ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SY1628 @ SV10 ) @ SY1627 @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1141]) ).
thf(1778,plain,
! [SV11: $i] :
( ( ! [SY1629: $i,SY1630: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV11 )
| ( c_lessequals @ SY1629 @ ( c_HOL_Ouminus__class_Ouminus @ SY1630 @ SV11 ) @ SV11 )
| ~ ( c_lessequals @ SY1630 @ ( c_HOL_Ouminus__class_Ouminus @ SY1629 @ SV11 ) @ SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1142]) ).
thf(1779,plain,
! [SV12: $i] :
( ( ! [SY1631: $i,SY1632: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV12 )
| ( c_lessequals @ SY1631 @ ( c_HOL_Ouminus__class_Ouminus @ SY1632 @ SV12 ) @ SV12 )
| ~ ( c_lessequals @ SY1632 @ ( c_HOL_Ouminus__class_Ouminus @ SY1631 @ SV12 ) @ SV12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1143]) ).
thf(1780,plain,
! [SV13: $i] :
( ( ! [SY1633: $i] :
( ~ ( class_OrderedGroup_Ogroup__add @ SV13 )
| ( ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ SY1633 @ SV13 ) @ SV13 )
= SY1633 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1144]) ).
thf(1781,plain,
! [SV14: $i] :
( ( ! [SY1634: $i] :
( ~ ( class_OrderedGroup_Ogroup__add @ SV14 )
| ( SY1634
= ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ SY1634 @ SV14 ) @ SV14 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1145]) ).
thf(1782,plain,
! [SV15: $i] :
( ( ! [SY1635: $i] :
( ~ ( class_OrderedGroup_Ogroup__add @ SV15 )
| ( SY1635
= ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ SY1635 @ SV15 ) @ SV15 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1146]) ).
thf(1783,plain,
! [SV16: $i] :
( ( ! [SY1636: $i] :
( ~ ( class_Lattices_Oboolean__algebra @ SV16 )
| ( ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ SY1636 @ SV16 ) @ SV16 )
= SY1636 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1147]) ).
thf(1784,plain,
! [SV17: $i] :
( ( ! [SY1637: $i] :
( ~ ( class_OrderedGroup_Ogroup__add @ SV17 )
| ( ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ SY1637 @ SV17 ) @ SV17 )
= SY1637 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1148]) ).
thf(1785,plain,
! [SV18: $i] :
( ( ! [SY1638: $i] :
( ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ SV18 @ ( tc_fun @ SY1638 @ tc_bool ) ) @ ( tc_fun @ SY1638 @ tc_bool ) )
= SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1149]) ).
thf(1786,plain,
! [SV19: $i] :
( ( ! [SY1639: $i] :
( ( c_lessequals @ ( c_Message_OkeysFor @ SV19 ) @ ( c_Message_OkeysFor @ SY1639 ) @ ( tc_fun @ tc_nat @ tc_bool ) )
| ~ ( c_lessequals @ SV19 @ SY1639 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1150]) ).
thf(1787,plain,
! [SV20: $i] :
( ( ! [SY1640: $i] :
( ~ ( class_Lattices_Oboolean__algebra @ SV20 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SY1640 @ ( c_HOL_Ouminus__class_Ouminus @ SY1640 @ SV20 ) @ SV20 )
= ( c_Orderings_Otop__class_Otop @ SV20 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1151]) ).
thf(1788,plain,
! [SV21: $i] :
( ( ! [SY1641: $i] :
( ~ ( class_Lattices_Oboolean__algebra @ SV21 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_HOL_Ouminus__class_Ouminus @ SY1641 @ SV21 ) @ SY1641 @ SV21 )
= ( c_Orderings_Otop__class_Otop @ SV21 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1152]) ).
thf(1789,plain,
! [SV22: $i] :
( ( ! [SY1642: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ SV22 @ ( c_HOL_Ouminus__class_Ouminus @ SV22 @ ( tc_fun @ SY1642 @ tc_bool ) ) @ ( tc_fun @ SY1642 @ tc_bool ) )
= ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SY1642 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1153]) ).
thf(1790,plain,
! [SV23: $i] :
( ( ! [SY1643: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_HOL_Ouminus__class_Ouminus @ SV23 @ ( tc_fun @ SY1643 @ tc_bool ) ) @ SV23 @ ( tc_fun @ SY1643 @ tc_bool ) )
= ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SY1643 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1154]) ).
thf(1791,plain,
! [SV24: $i] :
( ( ( c_Event_OinitState @ ( c_Message_Oagent_OFriend @ SV24 ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ ( c_Message_Oagent_OFriend @ SV24 ) ) ) ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ c_Public_Okeymode_OSignature ) @ ( c_Message_Oagent_OFriend @ SV24 ) ) ) ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ ( c_Message_Oagent_OFriend @ SV24 ) ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ c_Public_Okeymode_OSignature ) @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1156]) ).
thf(1792,plain,
! [SV25: $i] :
( ( ! [SY1644: $i] :
( ( hBOOL @ ( hAPP @ SV25 @ SY1644 ) )
| ~ ( hBOOL @ ( hAPP @ SV25 @ c_Public_Okeymode_OEncryption ) )
| ~ ( hBOOL @ ( hAPP @ SV25 @ c_Public_Okeymode_OSignature ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1157]) ).
thf(1793,plain,
! [SV26: $i] :
( ( ! [SY1645: $i,SY1646: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV26 )
| ( c_lessequals @ SY1645 @ SY1646 @ SV26 )
| ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SY1646 @ SV26 ) @ ( c_HOL_Ouminus__class_Ouminus @ SY1645 @ SV26 ) @ SV26 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1158]) ).
thf(1794,plain,
! [SV27: $i] :
( ( ! [SY1647: $i,SY1648: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV27 )
| ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SY1647 @ SV27 ) @ ( c_HOL_Ouminus__class_Ouminus @ SY1648 @ SV27 ) @ SV27 )
| ~ ( c_lessequals @ SY1648 @ SY1647 @ SV27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1159]) ).
thf(1795,plain,
! [SV28: $i] :
( ( ! [SY1649: $i,SY1650: $i] :
( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV28 @ ( tc_fun @ SY1649 @ tc_bool ) ) @ ( c_HOL_Ouminus__class_Ouminus @ SY1650 @ ( tc_fun @ SY1649 @ tc_bool ) ) @ ( tc_fun @ SY1649 @ tc_bool ) )
| ~ ( c_lessequals @ SY1650 @ SV28 @ ( tc_fun @ SY1649 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1160]) ).
thf(1796,plain,
! [SV29: $i] :
( ( ! [SY1651: $i,SY1652: $i] :
( ( c_lessequals @ SV29 @ SY1651 @ ( tc_fun @ SY1652 @ tc_bool ) )
| ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SY1651 @ ( tc_fun @ SY1652 @ tc_bool ) ) @ ( c_HOL_Ouminus__class_Ouminus @ SV29 @ ( tc_fun @ SY1652 @ tc_bool ) ) @ ( tc_fun @ SY1652 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1161]) ).
thf(1797,plain,
! [SV30: $i] :
( ( ! [SY1653: $i,SY1654: $i] :
( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV30 @ ( tc_fun @ SY1653 @ tc_bool ) ) @ ( c_HOL_Ouminus__class_Ouminus @ SY1654 @ ( tc_fun @ SY1653 @ tc_bool ) ) @ ( tc_fun @ SY1653 @ tc_bool ) )
| ~ ( c_lessequals @ SY1654 @ SV30 @ ( tc_fun @ SY1653 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1162]) ).
thf(1798,plain,
! [SV31: $i] :
( ( ! [SY1655: $i] : ( c_lessequals @ ( c_Event_OinitState @ SV31 ) @ ( c_Event_Oknows @ SV31 @ SY1655 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1163]) ).
thf(1799,plain,
! [SV32: $i] :
( ( c_lessequals @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV32 @ tc_bool ) ) @ ( c_HOL_Ouminus__class_Ouminus @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV32 @ tc_bool ) ) @ ( tc_fun @ SV32 @ tc_bool ) ) @ ( tc_fun @ SV32 @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1164]) ).
thf(1800,plain,
! [SV33: $i] :
( ( ~ ( class_Lattices_Oboolean__algebra @ SV33 )
| ( ( c_HOL_Ouminus__class_Ouminus @ ( c_Orderings_Otop__class_Otop @ SV33 ) @ SV33 )
= ( c_Orderings_Obot__class_Obot @ SV33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1166]) ).
thf(1801,plain,
! [SV34: $i] :
( ( ( c_HOL_Ouminus__class_Ouminus @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SV34 @ tc_bool ) ) @ ( tc_fun @ SV34 @ tc_bool ) )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV34 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1167]) ).
thf(1802,plain,
! [SV35: $i] :
( ( ! [SY1656: $i] :
( ~ ( class_HOL_Ouminus @ SV35 )
| ( ( hAPP @ ( c_HOL_Ouminus__class_Ouminus @ SY1656 @ ( tc_fun @ t_a @ SV35 ) ) @ v_x )
= ( c_HOL_Ouminus__class_Ouminus @ ( hAPP @ SY1656 @ v_x ) @ SV35 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1171]) ).
thf(1803,plain,
! [SV36: $i] :
( ( ~ ( class_Lattices_Oboolean__algebra @ SV36 )
| ( ( c_HOL_Ouminus__class_Ouminus @ ( c_Orderings_Obot__class_Obot @ SV36 ) @ SV36 )
= ( c_Orderings_Otop__class_Otop @ SV36 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1172]) ).
thf(1804,plain,
! [SV37: $i] :
( ( ( c_HOL_Ouminus__class_Ouminus @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV37 @ tc_bool ) ) @ ( tc_fun @ SV37 @ tc_bool ) )
= ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SV37 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1173]) ).
thf(1805,plain,
! [SV38: $i] :
( ( ! [SY1657: $i] :
( ( SV38
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY1657 @ tc_bool ) ) )
| ~ ( c_lessequals @ SV38 @ ( c_HOL_Ouminus__class_Ouminus @ SV38 @ ( tc_fun @ SY1657 @ tc_bool ) ) @ ( tc_fun @ SY1657 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1174]) ).
thf(1806,plain,
! [SV39: $i] :
( ( ! [SY1658: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV39 ) @ SY1658 ) ) ) @ ( c_Event_OinitState @ SY1658 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1175]) ).
thf(1807,plain,
! [SV40: $i] :
( ( ! [SY1659: $i,SY1660: $i] :
( ( hBOOL @ ( c_in @ SV40 @ ( c_Event_OinitState @ SY1659 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SY1659 @ SV40 ) @ ( c_List_Oset @ SY1660 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_OGets @ SY1659 @ SV40 ) @ ( c_List_Oset @ SY1660 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY1659 @ ( c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1 @ SY1659 @ SV40 @ SY1660 ) @ SV40 ) @ ( c_List_Oset @ SY1660 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SY1659 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( c_in @ SV40 @ ( c_Event_Oknows @ SY1659 @ SY1660 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1176]) ).
thf(1808,plain,
! [SV41: $i] :
( ( ! [SY1661: $i,SY1662: $i,SY1663: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV41 ) @ SY1661 ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SY1662 ) @ SY1663 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1177]) ).
thf(1809,plain,
! [SV42: $i] :
( ( ! [SY1664: $i,SY1665: $i,SY1666: $i] :
( ( SV42 = SY1664 )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV42 ) @ SY1665 ) ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SY1664 ) @ SY1666 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1178]) ).
thf(1810,plain,
! [SV43: $i] :
( ( ! [SY1667: $i,SY1668: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV43 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SY1667 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY1668 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV43 @ SY1667 @ tc_nat ) )
| ~ ( c_lessequals @ SY1667 @ ( c_HOL_Ouminus__class_Ouminus @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ ( tc_fun @ tc_nat @ tc_bool ) ) @ ( tc_fun @ tc_nat @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SY1668 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1179]) ).
thf(1811,plain,
! [SV44: $i] :
( ( ! [SY1669: $i,SY1670: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV44 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY1669 ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV44 @ SY1670 @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV44 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SY1670 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY1669 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SY1670 @ ( c_HOL_Ouminus__class_Ouminus @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ ( tc_fun @ tc_nat @ tc_bool ) ) @ ( tc_fun @ tc_nat @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SY1669 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1180]) ).
thf(1812,plain,
! [SV45: $i] :
( ( ! [SY1671: $i,SY1672: $i] :
( ( hBOOL @ ( c_in @ SV45 @ ( c_Message_OkeysFor @ SY1671 ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV45 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV45 @ SY1672 ) @ SY1671 @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1181]) ).
thf(1813,plain,
! [SV46: $i] :
( ( ! [SY1673: $i,SY1674: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ SV46 @ ( c_Event_Oknows @ SY1673 @ SY1674 ) @ tc_Message_Omsg ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV46 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ SY1673 @ SY1674 ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1182]) ).
thf(1814,plain,
! [SV47: $i] :
( ( ! [SY1675: $i,SY1676: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ SV47 ) @ ( c_Message_OkeysFor @ SY1675 ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV47 @ SY1676 ) @ SY1675 @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1183]) ).
thf(1815,plain,
! [SV48: $i] :
( ( ! [SY1677: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV48 ) @ SY1677 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV48 ) @ ( c_Message_Oanalz @ SY1677 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV48 @ ( c_Message_OkeysFor @ ( c_Message_Oanalz @ SY1677 ) ) @ tc_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1184]) ).
thf(1816,plain,
! [SV49: $i] :
( ( ! [SY1678: $i,SY1679: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV49 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SY1678 @ tc_nat @ tc_Message_Omsg ) @ SY1679 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV49 ) @ ( c_Message_Oanalz @ SY1679 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV49 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SY1678 @ tc_nat @ tc_Message_Omsg ) @ SY1679 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1185]) ).
thf(1817,plain,
! [SV50: $i] :
( ( ! [SY1680: $i,SY1681: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV50 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SY1680 @ tc_nat @ tc_Message_Omsg ) @ SY1681 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV50 ) @ ( c_Message_Oanalz @ SY1681 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV50 ) @ ( c_Message_Oanalz @ SY1681 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1186]) ).
thf(1818,plain,
! [SV51: $i] :
( ( ! [SY1682: $i,SY1683: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV51 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SY1682 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY1683 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV51 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY1683 ) ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SY1682 @ ( c_HOL_Ouminus__class_Ouminus @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ ( tc_fun @ tc_nat @ tc_bool ) ) @ ( tc_fun @ tc_nat @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SY1683 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1187]) ).
thf(1819,plain,
! [SV52: $i] :
( ( ! [SY1684: $i] :
( ( c_Message_OkeysFor @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ SV52 ) @ SY1684 @ tc_Message_Omsg ) )
= ( c_Message_OkeysFor @ SY1684 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1188]) ).
thf(1820,plain,
! [SV53: $i] :
( ( ! [SY1685: $i] :
( ( c_Message_OkeysFor @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ SV53 ) @ SY1685 @ tc_Message_Omsg ) )
= ( c_Message_OkeysFor @ SY1685 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1189]) ).
thf(1821,plain,
! [SV54: $i] :
( ( ! [SY1686: $i] :
( ( c_Message_OkeysFor @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV54 ) @ SY1686 @ tc_Message_Omsg ) )
= ( c_Message_OkeysFor @ SY1686 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1190]) ).
thf(1822,plain,
! [SV55: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV55 @ tc_nat @ tc_Message_Omsg ) )
= ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV55 @ tc_nat @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1191]) ).
thf(1823,plain,
! [SV56: $i] :
( ( ( c_Message_Oparts @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV56 @ tc_nat @ tc_Message_Omsg ) )
= ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV56 @ tc_nat @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1192]) ).
thf(1824,plain,
! [SV57: $i] :
( ( ! [SY1687: $i,SY1688: $i] :
( ( c_Message_OkeysFor @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV57 @ SY1687 ) @ SY1688 @ tc_Message_Omsg ) )
= ( c_Message_OkeysFor @ SY1688 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1193]) ).
thf(1825,plain,
! [SV58: $i] :
( ( ~ ( hBOOL @ ( c_in @ SV58 @ ( c_Message_Oparts @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1194]) ).
thf(1826,plain,
! [SV59: $i] :
( ( ! [SY1689: $i] : ( hBOOL @ ( c_in @ SV59 @ ( c_Set_Oinsert @ SV59 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY1689 @ tc_bool ) ) @ SY1689 ) @ SY1689 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1196]) ).
thf(1827,plain,
! [SV60: $i] :
( ( ! [SY1690: $i,SY1691: $i] :
( ( SV60 = SY1690 )
| ~ ( hBOOL @ ( c_in @ SV60 @ ( c_Set_Oinsert @ SY1690 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY1691 @ tc_bool ) ) @ SY1691 ) @ SY1691 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1197]) ).
thf(1828,plain,
! [SV61: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV61 @ tc_bool ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV61 @ tc_bool ) ) @ ( tc_fun @ SV61 @ tc_bool ) )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV61 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1199]) ).
thf(1829,plain,
! [SV62: $i] :
( ( ! [SY1692: $i,SY1693: $i] :
( ( SV62
= ( c_Set_Oinsert @ SY1692 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY1693 @ tc_bool ) ) @ SY1693 ) )
| ( SV62
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY1693 @ tc_bool ) ) )
| ~ ( c_lessequals @ SV62 @ ( c_Set_Oinsert @ SY1692 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY1693 @ tc_bool ) ) @ SY1693 ) @ ( tc_fun @ SY1693 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1200]) ).
thf(1830,plain,
! [SV63: $i] :
( ( c_lessequals @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV63 @ tc_bool ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV63 @ tc_bool ) ) @ ( tc_fun @ SV63 @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1203]) ).
thf(1831,plain,
! [SV64: $i] :
( ( ! [SY1694: $i] :
( ( SV64
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY1694 @ tc_bool ) ) )
| ~ ( c_lessequals @ SV64 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY1694 @ tc_bool ) ) @ ( tc_fun @ SY1694 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1204]) ).
thf(1832,plain,
! [SV65: $i] :
( ( ! [SY1695: $i] :
~ ( hBOOL @ ( hAPP @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV65 @ tc_bool ) ) @ SY1695 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1212]) ).
thf(1833,plain,
! [SV66: $i] :
( ( ! [SY1696: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ SV66 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY1696 @ tc_bool ) ) @ ( tc_fun @ SY1696 @ tc_bool ) )
= SV66 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1213]) ).
thf(1834,plain,
! [SV67: $i] :
( ( ! [SY1697: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV67 @ tc_bool ) ) @ SY1697 @ ( tc_fun @ SV67 @ tc_bool ) )
= SY1697 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1214]) ).
thf(1835,plain,
! [SV68: $i] :
( ( ! [SY1698: $i] :
( ~ ( class_Lattices_Obounded__lattice @ SV68 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Obot__class_Obot @ SV68 ) @ SY1698 @ SV68 )
= SY1698 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1215]) ).
thf(1836,plain,
! [SV69: $i] :
( ( ! [SY1699: $i] :
( ~ ( class_Lattices_Obounded__lattice @ SV69 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SY1699 @ ( c_Orderings_Obot__class_Obot @ SV69 ) @ SV69 )
= SY1699 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1216]) ).
thf(1837,plain,
! [SV70: $i] :
( ( ! [SY1700: $i] :
( ~ ( class_Orderings_Obot @ SV70 )
| ( c_lessequals @ ( c_Orderings_Obot__class_Obot @ SV70 ) @ SY1700 @ SV70 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1218]) ).
thf(1838,plain,
! [SV71: $i] :
( ( ! [SY1701: $i] : ( c_lessequals @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV71 @ tc_bool ) ) @ SY1701 @ ( tc_fun @ SV71 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1219]) ).
thf(1839,plain,
! [SV72: $i] :
( ( ~ ( class_Orderings_Obot @ SV72 )
| ( ( hAPP @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ t_a @ SV72 ) ) @ v_x )
= ( c_Orderings_Obot__class_Obot @ SV72 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1221]) ).
thf(1840,plain,
! [SV73: $i] :
( ( ! [SY1702: $i,SY1703: $i] :
( ( c_Set_Oinsert @ SV73 @ ( c_Set_Oinsert @ SY1702 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY1703 @ tc_bool ) ) @ SY1703 ) @ SY1703 )
= ( c_Set_Oinsert @ SY1702 @ ( c_Set_Oinsert @ SV73 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY1703 @ tc_bool ) ) @ SY1703 ) @ SY1703 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1222]) ).
thf(1841,plain,
! [SV74: $i] :
( ( ! [SY1704: $i,SY1705: $i] :
( ( c_Set_Oimage @ SV74 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY1704 @ tc_bool ) ) @ SY1704 @ SY1705 )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY1705 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1223]) ).
thf(1842,plain,
! [SV75: $i] :
( ( ! [SY1706: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ SV75 ) @ ( c_Set_Oimage @ c_Message_OinvKey @ SY1706 @ tc_nat @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV75 @ SY1706 @ tc_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1224]) ).
thf(1843,plain,
! [SV76: $i] :
( ( ! [SY1707: $i] :
( ( hBOOL @ ( c_in @ SV76 @ SY1707 @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ SV76 ) @ ( c_Set_Oimage @ c_Message_OinvKey @ SY1707 @ tc_nat @ tc_nat ) @ tc_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1225]) ).
thf(1844,plain,
! [SV77: $i] :
( ( ! [SY1708: $i,SY1709: $i] :
( ( c_Set_Oinsert @ SV77 @ SY1708 @ SY1709 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oinsert @ SV77 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY1709 @ tc_bool ) ) @ SY1709 ) @ SY1708 @ ( tc_fun @ SY1709 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1232]) ).
thf(1845,plain,
! [SV78: $i] :
( ( ! [SY1710: $i,SY1711: $i] :
( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV78 @ tc_bool ) )
= ( c_Set_Oimage @ SY1710 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY1711 @ tc_bool ) ) @ SY1711 @ SV78 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1233]) ).
thf(1846,plain,
! [SV79: $i] :
( ( ! [SY1712: $i] :
~ ( hBOOL @ ( c_in @ SV79 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY1712 @ tc_bool ) ) @ SY1712 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1234]) ).
thf(1847,plain,
! [SV80: $i] :
( ( ! [SY1713: $i,SY1714: $i] :
( ( hBOOL @ ( hAPP @ SV80 @ SY1713 ) )
| ~ ( hBOOL @ ( c_in @ SY1713 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY1714 @ tc_bool ) ) @ SY1714 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1235]) ).
thf(1848,plain,
! [SV81: $i] :
( ( ! [SY1715: $i] :
~ ( hBOOL @ ( c_in @ SV81 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY1715 @ tc_bool ) ) @ SY1715 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1236]) ).
thf(1849,plain,
! [SV82: $i] :
( ( ! [SY1716: $i] :
~ ( hBOOL @ ( c_in @ SV82 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY1716 @ tc_bool ) ) @ SY1716 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1237]) ).
thf(1850,plain,
! [SV83: $i] :
( ( ! [SY1717: $i,SY1718: $i] :
( ~ ( hBOOL @ ( hAPP @ SV83 @ SY1717 ) )
| ~ ( hBOOL @ ( c_in @ SY1717 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY1718 @ tc_bool ) ) @ SY1718 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1238]) ).
thf(1851,plain,
! [SV84: $i] :
( ( ! [SY1719: $i,SY1720: $i] :
~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV84 @ SY1719 ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SY1720 @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1240]) ).
thf(1852,plain,
! [SV85: $i] :
( ( ! [SY1721: $i] :
( ( hBOOL @ ( c_in @ SV85 @ SY1721 @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV85 ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SY1721 @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1241]) ).
thf(1853,plain,
! [SV86: $i] :
( ( ! [SY1722: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV86 ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SY1722 @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV86 @ SY1722 @ tc_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1242]) ).
thf(1854,plain,
! [SV87: $i] :
( ( ! [SY1723: $i] :
~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV87 ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SY1723 @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1243]) ).
thf(1855,plain,
! [SV88: $i] :
( ( ! [SY1724: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ SV88 @ SY1724 @ tc_Message_Omsg ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV88 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Message_Oparts @ SY1724 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1244]) ).
thf(1856,plain,
! [SV89: $i] :
( ( ! [SY1725: $i,SY1726: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ SV89 @ ( c_Set_Oinsert @ SY1725 @ SY1726 @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV89 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SY1725 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Message_Oparts @ SY1726 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1245]) ).
thf(1857,plain,
! [SV90: $i] :
( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ SV90 ) ) @ c_Message_OsymKeys @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1247]) ).
thf(1858,plain,
! [SV91: $i] :
( ( ! [SY1727: $i,SY1728: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV91 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SY1727 @ tc_nat @ tc_Message_Omsg ) @ SY1728 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV91 ) @ ( c_Message_Oanalz @ SY1728 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV91 @ SY1727 @ tc_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1248]) ).
thf(1859,plain,
! [SV92: $i] :
( ( ! [SY1729: $i,SY1730: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV92 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SY1729 @ tc_nat @ tc_Message_Omsg ) @ SY1730 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV92 @ SY1729 @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV92 ) @ ( c_Message_Oanalz @ SY1730 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1249]) ).
thf(1860,plain,
! [SV93: $i] :
( ( ! [SY1731: $i,SY1732: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV93 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SY1731 @ tc_nat @ tc_Message_Omsg ) @ SY1732 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV93 @ SY1731 @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV93 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SY1731 @ tc_nat @ tc_Message_Omsg ) @ SY1732 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1250]) ).
thf(1861,plain,
! [SV94: $i] :
( ( ! [SY1733: $i,SY1734: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV94 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SY1733 @ tc_nat @ tc_Message_Omsg ) @ SY1734 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV94 @ SY1733 @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV94 @ SY1733 @ tc_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1251]) ).
thf(1862,plain,
! [SV95: $i] :
( ( ! [SY1735: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV95 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Event_Oused @ SY1735 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV95 @ ( c_Event_Oused @ SY1735 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1252]) ).
thf(1863,plain,
! [SV96: $i] :
( ( ! [SY1736: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ SV96 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY1736 ) @ tc_Message_Omsg ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV96 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY1736 ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1253]) ).
thf(1864,plain,
! [SV97: $i] :
( ( ! [SY1737: $i,SY1738: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ SV97 ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SY1737 ) @ SY1738 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1254]) ).
thf(1865,plain,
! [SV98: $i] :
( ( ! [SY1739: $i,SY1740: $i,SY1741: $i] :
( ( hBOOL @ ( c_in @ SV98 @ SY1739 @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SY1740 ) @ SV98 ) ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SY1741 ) @ SY1739 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1255]) ).
thf(1866,plain,
! [SV99: $i] :
( ( ! [SY1742: $i,SY1743: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV99 ) @ SY1742 ) ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV99 ) @ SY1743 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SY1742 @ SY1743 @ tc_Message_Oagent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1256]) ).
thf(1867,plain,
! [SV100: $i] :
( ( ! [SY1744: $i,SY1745: $i] :
( ( hBOOL @ ( c_in @ SV100 @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY1744 ) ) @ ( c_Message_Oparts @ SY1744 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY1745 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY1744 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV100 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SY1745 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1257]) ).
thf(1868,plain,
! [SV101: $i] :
( ( ! [SY1746: $i,SY1747: $i,SY1748: $i] :
( ( c_Event_Oused @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV101 @ SY1746 @ SY1747 ) @ SY1748 @ tc_Event_Oevent ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SY1747 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Event_Oused @ SY1748 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1258]) ).
thf(1869,plain,
! [SV102: $i] :
( ( ! [SY1749: $i,SY1750: $i] :
( ( c_Event_Oused @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV102 @ SY1749 ) @ SY1750 @ tc_Event_Oevent ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SY1749 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Event_Oused @ SY1750 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1259]) ).
thf(1870,plain,
! [SV103: $i] :
( ( ! [SY1751: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV103 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY1751 ) ) @ ( c_Message_Oparts @ SY1751 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV103 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY1751 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1260]) ).
thf(1871,plain,
! [SV104: $i] :
( ( ! [SY1752: $i,SY1753: $i,SY1754: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV104 ) ) @ ( c_Message_Oparts @ SY1752 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV104 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1753 @ SY1752 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SY1754 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY1752 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV104 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SY1754 @ SY1753 @ tc_Message_Omsg ) ) ) @ tc_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1261]) ).
thf(1872,plain,
! [SV105: $i] :
( ( ! [SY1755: $i] :
( ~ ( hBOOL @ ( c_in @ SV105 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY1755 ) ) ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SY1755 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ SV105 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV105 ) @ ( c_Event_Oused @ SY1755 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1262]) ).
thf(1873,plain,
! [SV106: $i] :
( ( ! [SY1756: $i,SY1757: $i,SY1758: $i,SY1759: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ SV106 @ SY1756 @ SY1757 @ SY1758 ) @ ( c_Set_Oimage @ SV106 @ SY1759 @ SY1757 @ SY1758 ) @ ( tc_fun @ SY1758 @ tc_bool ) )
= ( c_Set_Oimage @ SV106 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1756 @ SY1759 @ ( tc_fun @ SY1757 @ tc_bool ) ) @ SY1757 @ SY1758 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1263]) ).
thf(1874,plain,
! [SV107: $i] :
( ( ! [SY1760: $i,SY1761: $i,SY1762: $i,SY1763: $i] :
( ( c_Set_Oimage @ SV107 @ ( c_Set_Oinsert @ SY1760 @ SY1761 @ SY1762 ) @ SY1762 @ SY1763 )
= ( c_Set_Oinsert @ ( hAPP @ SV107 @ SY1760 ) @ ( c_Set_Oimage @ SV107 @ SY1761 @ SY1762 @ SY1763 ) @ SY1763 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1264]) ).
thf(1875,plain,
! [SV108: $i] :
( ( ! [SY1764: $i,SY1765: $i,SY1766: $i,SY1767: $i] :
( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV108 @ SY1764 @ ( tc_fun @ SY1765 @ tc_bool ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1766 @ SY1767 @ ( tc_fun @ SY1765 @ tc_bool ) ) @ ( tc_fun @ SY1765 @ tc_bool ) )
| ~ ( c_lessequals @ SY1764 @ SY1767 @ ( tc_fun @ SY1765 @ tc_bool ) )
| ~ ( c_lessequals @ SV108 @ SY1766 @ ( tc_fun @ SY1765 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1265]) ).
thf(1876,plain,
! [SV109: $i] :
( ( ! [SY1768: $i] : ( c_lessequals @ SV109 @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SY1768 @ tc_bool ) ) @ ( tc_fun @ SY1768 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1266]) ).
thf(1877,plain,
! [SV110: $i] :
( ( ! [SY1769: $i] :
( ~ ( class_Orderings_Otop @ SV110 )
| ( c_lessequals @ SY1769 @ ( c_Orderings_Otop__class_Otop @ SV110 ) @ SV110 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1267]) ).
thf(1878,plain,
! [SV111: $i] :
( ( ! [SY1770: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV111 ) @ SY1770 ) ) @ c_Message_OsymKeys @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1268]) ).
thf(1879,plain,
! [SV112: $i] :
( ( ! [SY1771: $i,SY1772: $i,SY1773: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV112 )
| ( c_lessequals @ SY1771 @ SY1772 @ SV112 )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1773 @ SY1771 @ SV112 ) @ SY1772 @ SV112 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1269]) ).
thf(1880,plain,
! [SV113: $i] :
( ( ! [SY1774: $i,SY1775: $i,SY1776: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV113 )
| ( c_lessequals @ SY1774 @ SY1775 @ SV113 )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1774 @ SY1776 @ SV113 ) @ SY1775 @ SV113 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1270]) ).
thf(1881,plain,
! [SV114: $i] :
( ( ! [SY1777: $i,SY1778: $i,SY1779: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV114 )
| ( c_lessequals @ SY1777 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1778 @ SY1779 @ SV114 ) @ SV114 )
| ~ ( c_lessequals @ SY1777 @ SY1779 @ SV114 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1271]) ).
thf(1882,plain,
! [SV115: $i] :
( ( ! [SY1780: $i,SY1781: $i,SY1782: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV115 )
| ( c_lessequals @ SY1780 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1781 @ SY1782 @ SV115 ) @ SV115 )
| ~ ( c_lessequals @ SY1780 @ SY1781 @ SV115 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1272]) ).
thf(1883,plain,
! [SV116: $i] :
( ( ! [SY1783: $i,SY1784: $i,SY1785: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV116 )
| ( c_lessequals @ SY1783 @ SY1784 @ SV116 )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1785 @ SY1783 @ SV116 ) @ SY1784 @ SV116 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1273]) ).
thf(1884,plain,
! [SV117: $i] :
( ( ! [SY1786: $i,SY1787: $i,SY1788: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV117 )
| ( c_lessequals @ SY1786 @ SY1787 @ SV117 )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1786 @ SY1788 @ SV117 ) @ SY1787 @ SV117 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1274]) ).
thf(1885,plain,
! [SV118: $i] :
( ( ! [SY1789: $i,SY1790: $i,SY1791: $i] :
( ( c_lessequals @ SV118 @ SY1789 @ ( tc_fun @ SY1790 @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV118 @ SY1791 @ ( tc_fun @ SY1790 @ tc_bool ) ) @ SY1789 @ ( tc_fun @ SY1790 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1275]) ).
thf(1886,plain,
! [SV119: $i] :
( ( ! [SY1792: $i,SY1793: $i,SY1794: $i] :
( ( c_lessequals @ SV119 @ SY1792 @ ( tc_fun @ SY1793 @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1794 @ SV119 @ ( tc_fun @ SY1793 @ tc_bool ) ) @ SY1792 @ ( tc_fun @ SY1793 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1276]) ).
thf(1887,plain,
! [SV120: $i] :
( ( ! [SY1795: $i,SY1796: $i,SY1797: $i] :
( ~ ( class_Orderings_Oorder @ SV120 )
| ( c_lessequals @ SY1795 @ SY1796 @ SV120 )
| ~ ( c_lessequals @ SY1795 @ SY1797 @ SV120 )
| ~ ( c_lessequals @ SY1797 @ SY1796 @ SV120 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1277]) ).
thf(1888,plain,
! [SV121: $i] :
( ( ! [SY1798: $i,SY1799: $i,SY1800: $i] :
( ~ ( class_Orderings_Opreorder @ SV121 )
| ( c_lessequals @ SY1798 @ SY1799 @ SV121 )
| ~ ( c_lessequals @ SY1800 @ SY1799 @ SV121 )
| ~ ( c_lessequals @ SY1798 @ SY1800 @ SV121 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1278]) ).
thf(1889,plain,
! [SV122: $i] :
( ( ! [SY1801: $i] : ( c_lessequals @ SV122 @ SV122 @ ( tc_fun @ SY1801 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1279]) ).
thf(1890,plain,
! [SV123: $i] :
( ( ! [SY1802: $i] : ( c_lessequals @ SV123 @ SV123 @ ( tc_fun @ SY1802 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1280]) ).
thf(1891,plain,
! [SV124: $i] :
( ( ! [SY1803: $i,SY1804: $i,SY1805: $i] :
( ( c_lessequals @ SV124 @ SY1803 @ ( tc_fun @ SY1804 @ tc_bool ) )
| ~ ( c_lessequals @ SY1805 @ SY1803 @ ( tc_fun @ SY1804 @ tc_bool ) )
| ~ ( c_lessequals @ SV124 @ SY1805 @ ( tc_fun @ SY1804 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1281]) ).
thf(1892,plain,
! [SV125: $i] :
( ( ! [SY1806: $i,SY1807: $i,SY1808: $i] :
( ( hBOOL @ ( hAPP @ SV125 @ SY1806 ) )
| ~ ( hBOOL @ ( hAPP @ SY1807 @ SY1806 ) )
| ~ ( c_lessequals @ SY1807 @ SV125 @ ( tc_fun @ SY1808 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1282]) ).
thf(1893,plain,
! [SV126: $i] :
( ( ! [SY1809: $i] :
( ~ ( class_Orderings_Oorder @ SV126 )
| ( c_lessequals @ SY1809 @ SY1809 @ SV126 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1283]) ).
thf(1894,plain,
! [SV127: $i] :
( ( ! [SY1810: $i] :
( ~ ( class_Orderings_Opreorder @ SV127 )
| ( c_lessequals @ SY1810 @ SY1810 @ SV127 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1284]) ).
thf(1895,plain,
! [SV128: $i] :
( ( ! [SY1811: $i,SY1812: $i,SY1813: $i] :
( ( hBOOL @ ( hAPP @ SV128 @ SY1811 ) )
| ~ ( c_lessequals @ SY1812 @ SV128 @ ( tc_fun @ SY1813 @ tc_bool ) )
| ~ ( hBOOL @ ( hAPP @ SY1812 @ SY1811 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1285]) ).
thf(1896,plain,
! [SV129: $i] :
( ( ! [SY1814: $i,SY1815: $i,SY1816: $i,SY1817: $i] :
( ( c_lessequals @ ( c_Set_Oimage @ SV129 @ SY1814 @ SY1815 @ SY1816 ) @ ( c_Set_Oimage @ SV129 @ SY1817 @ SY1815 @ SY1816 ) @ ( tc_fun @ SY1816 @ tc_bool ) )
| ~ ( c_lessequals @ SY1814 @ SY1817 @ ( tc_fun @ SY1815 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1286]) ).
thf(1897,plain,
! [SV130: $i] :
( ( ! [SY1818: $i,SY1819: $i,SY1820: $i,SY1821: $i] :
( ~ ( c_lessequals @ SV130 @ SY1818 @ ( tc_fun @ SY1819 @ tc_bool ) )
| ( c_lessequals @ ( c_Set_Oimage @ SY1820 @ SV130 @ SY1819 @ SY1821 ) @ ( c_Set_Oimage @ SY1820 @ SY1818 @ SY1819 @ SY1821 ) @ ( tc_fun @ SY1821 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1287]) ).
thf(1898,plain,
! [SV131: $i] :
( ( ! [SY1822: $i,SY1823: $i,SY1824: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ SV131 @ SY1822 @ SY1823 ) @ ( c_Set_Oinsert @ SV131 @ SY1824 @ SY1823 ) @ ( tc_fun @ SY1823 @ tc_bool ) )
| ~ ( c_lessequals @ SY1822 @ SY1824 @ ( tc_fun @ SY1823 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1288]) ).
thf(1899,plain,
! [SV132: $i] :
( ( ! [SY1825: $i,SY1826: $i,SY1827: $i,SY1828: $i] :
( ( c_Set_Oimage @ SV132 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1825 @ SY1826 @ ( tc_fun @ SY1827 @ tc_bool ) ) @ SY1827 @ SY1828 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ SV132 @ SY1825 @ SY1827 @ SY1828 ) @ ( c_Set_Oimage @ SV132 @ SY1826 @ SY1827 @ SY1828 ) @ ( tc_fun @ SY1828 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1289]) ).
thf(1900,plain,
! [SV133: $i] :
( ( ! [SY1829: $i,SY1830: $i,SY1831: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV133 @ SY1829 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1830 @ SY1831 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oanalz @ SY1829 ) @ ( c_Message_Oanalz @ SY1831 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oanalz @ SV133 ) @ ( c_Message_Oanalz @ SY1830 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1290]) ).
thf(1901,plain,
! [SV134: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ SV134 ) @ c_Message_OsymKeys @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1291]) ).
thf(1902,plain,
! [SV135: $i] :
( ( ! [SY1832: $i,SY1833: $i] :
( ~ ( class_Orderings_Olinorder @ SV135 )
| ( c_lessequals @ SY1832 @ SY1833 @ SV135 )
| ( c_lessequals @ SY1833 @ SY1832 @ SV135 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1292]) ).
thf(1903,plain,
! [SV136: $i] :
( ( ! [SY1834: $i,SY1835: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV136 @ SY1834 @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ SY1835 ) @ ( c_Message_Oparts @ SY1834 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV136 @ SY1835 @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1293]) ).
thf(1904,plain,
! [SV137: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV137 ) ) @ ( c_Event_Oused @ SV137 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1294]) ).
thf(1905,plain,
! [SV138: $i] :
( ( ! [SY1836: $i,SY1837: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV138 ) @ SY1836 ) ) @ ( c_Set_Oimage @ c_Public_OshrK @ SY1837 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1295]) ).
thf(1906,plain,
! [SV139: $i] :
( ( ! [SY1838: $i,SY1839: $i,SY1840: $i] :
( ( c_lessequals @ SV139 @ SY1838 @ ( tc_fun @ SY1839 @ tc_bool ) )
| ~ ( c_lessequals @ SV139 @ ( c_Set_Oinsert @ SY1840 @ SY1838 @ SY1839 ) @ ( tc_fun @ SY1839 @ tc_bool ) )
| ( hBOOL @ ( c_in @ SY1840 @ SV139 @ SY1839 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1296]) ).
thf(1907,plain,
! [SV140: $i] :
( ( ! [SY1841: $i,SY1842: $i,SY1843: $i] :
( ( c_lessequals @ SV140 @ ( c_Set_Oinsert @ SY1841 @ SY1842 @ SY1843 ) @ ( tc_fun @ SY1843 @ tc_bool ) )
| ~ ( c_lessequals @ SV140 @ SY1842 @ ( tc_fun @ SY1843 @ tc_bool ) )
| ( hBOOL @ ( c_in @ SY1841 @ SV140 @ SY1843 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1297]) ).
thf(1908,plain,
! [SV141: $i] :
( ( ! [SY1844: $i,SY1845: $i,SY1846: $i] :
( ( c_lessequals @ SV141 @ SY1844 @ ( tc_fun @ SY1845 @ tc_bool ) )
| ( hBOOL @ ( c_in @ SY1846 @ SV141 @ SY1845 ) )
| ~ ( c_lessequals @ SV141 @ ( c_Set_Oinsert @ SY1846 @ SY1844 @ SY1845 ) @ ( tc_fun @ SY1845 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1298]) ).
thf(1909,plain,
! [SV142: $i] :
( ( ! [SY1847: $i,SY1848: $i,SY1849: $i] :
( ( c_lessequals @ SV142 @ ( c_Set_Oinsert @ SY1847 @ SY1848 @ SY1849 ) @ ( tc_fun @ SY1849 @ tc_bool ) )
| ~ ( c_lessequals @ SV142 @ SY1848 @ ( tc_fun @ SY1849 @ tc_bool ) )
| ( hBOOL @ ( c_in @ SY1847 @ SV142 @ SY1849 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1299]) ).
thf(1910,plain,
! [SV143: $i] :
( ( ! [SY1850: $i,SY1851: $i,SY1852: $i,SY1853: $i] :
( ( ( c_Set_Oinsert @ ( hAPP @ SV143 @ SY1850 ) @ ( c_Set_Oimage @ SV143 @ SY1851 @ SY1852 @ SY1853 ) @ SY1853 )
= ( c_Set_Oimage @ SV143 @ SY1851 @ SY1852 @ SY1853 ) )
| ~ ( hBOOL @ ( c_in @ SY1850 @ SY1851 @ SY1852 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1300]) ).
thf(1911,plain,
! [SV144: $i] :
( ( ! [SY1854: $i,SY1855: $i,SY1856: $i] :
( ( hBOOL @ ( c_in @ SV144 @ SY1854 @ SY1855 ) )
| ~ ( c_lessequals @ ( c_Set_Oinsert @ SV144 @ SY1856 @ SY1855 ) @ SY1854 @ ( tc_fun @ SY1855 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1301]) ).
thf(1912,plain,
! [SV145: $i] :
( ( ! [SY1857: $i,SY1858: $i,SY1859: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ SV145 @ SY1857 @ SY1858 ) @ SY1859 @ ( tc_fun @ SY1858 @ tc_bool ) )
| ~ ( c_lessequals @ SY1857 @ SY1859 @ ( tc_fun @ SY1858 @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV145 @ SY1859 @ SY1858 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1302]) ).
thf(1913,plain,
! [SV146: $i] :
( ( ! [SY1860: $i,SY1861: $i] : ( c_lessequals @ ( c_List_Oset @ SV146 @ SY1860 ) @ ( c_List_Oset @ ( c_List_Olist_OCons @ SY1861 @ SV146 @ SY1860 ) @ SY1860 ) @ ( tc_fun @ SY1860 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1303]) ).
thf(1914,plain,
! [SV147: $i] :
( ( ! [SY1862: $i,SY1863: $i] :
( ( hBOOL @ ( c_in @ SV147 @ ( c_Event_Oused @ SY1862 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV147 @ SY1863 ) @ ( c_Event_Oused @ SY1862 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1304]) ).
thf(1915,plain,
! [SV148: $i] :
( ( ! [SY1864: $i,SY1865: $i] :
( ( hBOOL @ ( c_in @ SV148 @ ( c_Event_Oused @ SY1864 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SY1865 @ SV148 ) @ ( c_Event_Oused @ SY1864 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1305]) ).
thf(1916,plain,
! [SV149: $i] :
( ( ! [SY1866: $i,SY1867: $i] :
( ( hBOOL @ ( c_in @ SV149 @ ( c_Message_Oparts @ SY1866 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV149 @ ( c_Message_Oparts @ SY1867 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV149 @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1867 @ SY1866 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1306]) ).
thf(1917,plain,
! [SV150: $i] :
( ( ! [SY1868: $i,SY1869: $i] :
( ( hBOOL @ ( c_in @ SV150 @ ( c_Message_Oparts @ SY1868 ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SY1869 @ ( c_Message_Oparts @ SY1868 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV150 @ ( c_Message_Oparts @ SY1869 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1307]) ).
thf(1918,plain,
! [SV151: $i] :
( ( ! [SY1870: $i,SY1871: $i] :
( ( hBOOL @ ( c_in @ SV151 @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1870 @ SY1871 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV151 @ ( c_Message_Oanalz @ SY1871 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1308]) ).
thf(1919,plain,
! [SV152: $i] :
( ( ! [SY1872: $i,SY1873: $i] :
( ( hBOOL @ ( c_in @ SV152 @ ( c_Message_Oanalz @ SY1872 ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SY1873 @ ( c_Message_Oanalz @ SY1872 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV152 @ ( c_Message_Oanalz @ SY1873 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1309]) ).
thf(1920,plain,
! [SV153: $i] :
( ( ! [SY1874: $i,SY1875: $i] :
( ( hBOOL @ ( c_in @ SV153 @ ( c_Message_Oanalz @ SY1874 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SY1875 ) @ ( c_Message_Oanalz @ SY1874 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY1875 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SY1875 @ SV153 ) @ ( c_Message_Oanalz @ SY1874 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1310]) ).
thf(1921,plain,
! [SV154: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ SV154 ) @ ( c_Message_Oparts @ SV154 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1311]) ).
thf(1922,plain,
! [SV155: $i] :
( ( ! [SY1876: $i,SY1877: $i] :
( ( hBOOL @ ( c_in @ SV155 @ ( c_Message_Osynth @ SY1876 ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SY1877 @ ( c_Message_Osynth @ SY1876 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV155 @ ( c_Message_Osynth @ SY1877 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1312]) ).
thf(1923,plain,
! [SV156: $i] :
( ( ! [SY1878: $i] : ( c_lessequals @ ( c_Set_Oinsert @ SV156 @ ( c_Message_Oparts @ SY1878 ) @ tc_Message_Omsg ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV156 @ SY1878 @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1313]) ).
thf(1924,plain,
! [SV157: $i] :
( ( ! [SY1879: $i,SY1880: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV157 @ SY1879 @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY1880 ) ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1880 @ SY1879 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV157 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY1880 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1314]) ).
thf(1925,plain,
! [SV158: $i] :
( ( ( c_Message_Oparts @ ( c_Message_Osynth @ SV158 ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ SV158 ) @ ( c_Message_Osynth @ SV158 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1315]) ).
thf(1926,plain,
! [SV159: $i] :
( ( ! [SY1881: $i] : ( c_lessequals @ ( c_Set_Oinsert @ SV159 @ ( c_Message_Oanalz @ SY1881 ) @ tc_Message_Omsg ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV159 @ SY1881 @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1316]) ).
thf(1927,plain,
! [SV160: $i] :
( ( ! [SY1882: $i] :
( ( c_lessequals @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV160 ) ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY1882 ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ SV160 @ SY1882 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1317]) ).
thf(1928,plain,
! [SV161: $i] :
( ( ( c_Message_Oanalz @ ( c_Message_Osynth @ SV161 ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oanalz @ SV161 ) @ ( c_Message_Osynth @ SV161 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1318]) ).
thf(1929,plain,
! [SV162: $i] :
( ( ! [SY1883: $i] :
( ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ SV162 ) @ SY1883 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV162 @ SY1883 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( c_Message_Osynth @ SV162 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1319]) ).
thf(1930,plain,
! [SV163: $i] :
( ( ! [SY1884: $i] : ( c_lessequals @ ( c_Set_Oinsert @ SV163 @ ( c_Message_Osynth @ SY1884 ) @ tc_Message_Omsg ) @ ( c_Message_Osynth @ ( c_Set_Oinsert @ SV163 @ SY1884 @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1320]) ).
thf(1931,plain,
! [SV164: $i] :
( ( ! [SY1885: $i,SY1886: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV164 @ SY1885 ) @ ( c_Event_Oknows @ SV164 @ ( c_List_Olist_OCons @ SY1886 @ SY1885 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1321]) ).
thf(1932,plain,
! [SV165: $i] :
( ( ! [SY1887: $i,SY1888: $i] :
( ( c_Event_Oused @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV165 @ SY1887 ) @ SY1888 @ tc_Event_Oevent ) )
= ( c_Event_Oused @ SY1888 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1322]) ).
thf(1933,plain,
! [SV166: $i] :
( ( ! [SY1889: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV166 @ SY1889 @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY1889 ) ) @ ( c_Message_Oparts @ SY1889 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV166 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY1889 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1323]) ).
thf(1934,plain,
! [SV167: $i] :
( ( ! [SY1890: $i,SY1891: $i,SY1892: $i] :
( ( hBOOL @ ( c_in @ SV167 @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1890 @ SY1891 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY1892 @ ( c_Message_Oparts @ SY1891 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV167 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SY1892 @ SY1890 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1324]) ).
thf(1935,plain,
! [SV168: $i] :
( ( ! [SY1893: $i,SY1894: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV168 @ SY1893 @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ SY1893 ) )
| ~ ( c_lessequals @ SY1894 @ SY1893 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV168 @ ( c_Message_Oanalz @ SY1894 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1325]) ).
thf(1936,plain,
! [SV169: $i] :
( ( ! [SY1895: $i,SY1896: $i] : ( c_lessequals @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV169 @ SY1895 ) @ SY1896 @ tc_Message_Omsg ) ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV169 @ SY1895 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SY1895 @ SY1896 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1326]) ).
thf(1937,plain,
! [SV170: $i] :
( ( ! [SY1897: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV170 ) ) @ ( c_Event_Oused @ SY1897 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1327]) ).
thf(1938,plain,
! [SV171: $i] :
( ( ! [SY1898: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV171 ) ) @ ( c_Event_Oused @ SY1898 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1328]) ).
thf(1939,plain,
! [SV172: $i] :
( ( ! [SY1899: $i,SY1900: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ ( c_Public_OpublicKey @ SV172 ) @ SY1899 ) ) @ ( c_Event_Oused @ SY1900 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1329]) ).
thf(1940,plain,
! [SV173: $i] :
( ( ! [SY1901: $i] :
( ( hBOOL @ ( c_in @ SV173 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SY1901 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV173 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV173 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY1901 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1330]) ).
thf(1941,plain,
! [SV174: $i] :
( ( ! [SY1902: $i,SY1903: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV174 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY1902 ) ) @ tc_Message_Omsg ) )
| ( SV174 = SY1903 )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV174 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SY1903 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY1902 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SY1903 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SY1902 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1331]) ).
thf(1942,plain,
! [SV175: $i] :
( ( ! [SY1904: $i,SY1905: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV175 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SY1904 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY1905 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV175 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY1905 ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SY1904 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SY1905 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1332]) ).
thf(1943,plain,
! [SV176: $i] :
( ( ! [SY1906: $i,SY1907: $i,SY1908: $i,SY1909: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV176 @ SY1906 ) @ ( c_Event_Oknows @ SV176 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SY1907 @ SY1908 @ SY1909 ) @ SY1906 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1333]) ).
thf(1944,plain,
! [SV177: $i] :
( ( ! [SY1910: $i,SY1911: $i,SY1912: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV177 @ SY1910 ) @ ( c_Event_Oknows @ SV177 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SY1911 @ SY1912 ) @ SY1910 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1334]) ).
thf(1945,plain,
! [SV178: $i] :
( ( ! [SY1913: $i,SY1914: $i,SY1915: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV178 @ SY1913 ) @ ( c_Event_Oknows @ SV178 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SY1914 @ SY1915 ) @ SY1913 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1335]) ).
thf(1946,plain,
! [SV179: $i] :
( ( ! [SY1916: $i,SY1917: $i,SY1918: $i,SY1919: $i,SY1920: $i,SY1921: $i] :
( ~ ( hBOOL @ ( c_in @ SV179 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SY1916 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY1917 @ ( c_Message_Omsg_OCrypt @ SY1918 @ ( c_Message_Omsg_OMPair @ SY1919 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY1920 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV179 ) @ SY1921 ) ) ) ) ) @ ( c_List_Oset @ SY1916 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1336]) ).
thf(1947,plain,
! [SV180: $i] :
( ( ! [SY1922: $i] :
( ( hBOOL @ ( c_in @ SV180 @ ( c_Event_Oused @ SY1922 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV180 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY1922 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1337]) ).
thf(1948,plain,
! [SV181: $i] :
( ( ! [SY1923: $i,SY1924: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV181 ) @ SY1923 ) ) ) @ ( c_Event_Oused @ SY1924 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1338]) ).
thf(1949,plain,
! [SV182: $i] :
( ( ! [SY1925: $i,SY1926: $i,SY1927: $i] :
( ( hBOOL @ ( c_in @ SV182 @ ( c_Event_Oused @ SY1925 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY1926 @ SY1927 @ SV182 ) @ ( c_List_Oset @ SY1925 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1339]) ).
thf(1950,plain,
! [SV183: $i] :
( ( ! [SY1928: $i,SY1929: $i,SY1930: $i,SY1931: $i,SY1932: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV183 @ SY1928 @ ( c_Message_Omsg_OCrypt @ SY1929 @ ( c_Message_Omsg_ONonce @ SY1930 ) ) ) @ SY1931 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY1932 @ SV183 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV183 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY1929 ) @ ( c_Message_Omsg_OAgent @ SY1928 ) ) ) ) @ ( c_List_Oset @ SY1931 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SY1929 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SY1930 ) @ ( c_Event_Oused @ SY1931 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SY1931 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1340]) ).
thf(1951,plain,
! [SV184: $i] :
( ( ! [SY1933: $i,SY1934: $i,SY1935: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV184 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SY1933 @ SY1934 @ SY1935 ) @ SV184 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1341]) ).
thf(1952,plain,
! [SV185: $i] :
( ( ! [SY1936: $i,SY1937: $i] :
( ( hBOOL @ ( c_in @ SV185 @ ( c_Event_Oused @ SY1936 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SY1937 @ SV185 ) @ ( c_List_Oset @ SY1936 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1342]) ).
thf(1953,plain,
! [SV186: $i] :
( ( ! [SY1938: $i,SY1939: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV186 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SY1938 @ SY1939 ) @ SV186 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1343]) ).
thf(1954,plain,
! [SV187: $i] :
( ( ! [SY1940: $i,SY1941: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV187 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SY1940 @ SY1941 ) @ SV187 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1344]) ).
thf(1955,plain,
! [SV188: $i] :
( ( ! [SY1942: $i,SY1943: $i,SY1944: $i,SY1945: $i,SY1946: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV188 @ SY1942 @ ( c_Message_Omsg_OCrypt @ SY1943 @ ( c_Message_Omsg_ONonce @ SY1944 ) ) ) @ SY1945 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY1946 @ SV188 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV188 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY1943 ) @ ( c_Message_Omsg_OAgent @ SY1942 ) ) ) ) @ ( c_List_Oset @ SY1945 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SY1943 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SY1944 ) @ ( c_Event_Oused @ SY1945 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY1945 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1345]) ).
thf(1956,plain,
! [SV189: $i] :
( ( ! [SY1947: $i,SY1948: $i,SY1949: $i,SY1950: $i,SY1951: $i] :
( ~ ( hBOOL @ ( c_in @ SV189 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SY1947 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SY1948 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY1948 ) @ ( c_Message_Omsg_OMPair @ SY1949 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY1950 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV189 ) @ SY1951 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY1947 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1346]) ).
thf(1957,plain,
! [SV190: $i] :
( ( ! [SY1952: $i,SY1953: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV190 @ SY1952 @ ( tc_fun @ SY1953 @ tc_bool ) )
= SV190 )
| ~ ( c_lessequals @ SY1952 @ SV190 @ ( tc_fun @ SY1953 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1348]) ).
thf(1958,plain,
! [SV191: $i] :
( ( ! [SY1954: $i,SY1955: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV191 @ SY1954 @ ( tc_fun @ SY1955 @ tc_bool ) )
= SY1954 )
| ~ ( c_lessequals @ SV191 @ SY1954 @ ( tc_fun @ SY1955 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1349]) ).
thf(1959,plain,
! [SV192: $i] :
( ( ! [SY1956: $i,SY1957: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV192 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SY1956 @ SY1957 @ SV192 )
= SY1957 )
| ~ ( c_lessequals @ SY1956 @ SY1957 @ SV192 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1350]) ).
thf(1960,plain,
! [SV193: $i] :
( ( ! [SY1958: $i,SY1959: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV193 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SY1958 @ SY1959 @ SV193 )
= SY1958 )
| ~ ( c_lessequals @ SY1959 @ SY1958 @ SV193 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1352]) ).
thf(1961,plain,
! [SV194: $i] :
( ( ! [SY1960: $i,SY1961: $i] :
( ~ ( class_Orderings_Oorder @ SV194 )
| ( SY1960 = SY1961 )
| ~ ( c_lessequals @ SY1960 @ SY1961 @ SV194 )
| ~ ( c_lessequals @ SY1961 @ SY1960 @ SV194 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1353]) ).
thf(1962,plain,
! [SV195: $i] :
( ( ! [SY1962: $i,SY1963: $i] :
( ~ ( class_Orderings_Oorder @ SV195 )
| ( SY1962 = SY1963 )
| ~ ( c_lessequals @ SY1963 @ SY1962 @ SV195 )
| ~ ( c_lessequals @ SY1962 @ SY1963 @ SV195 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1354]) ).
thf(1963,plain,
! [SV196: $i] :
( ( ! [SY1964: $i,SY1965: $i] :
( ~ ( class_Orderings_Oorder @ SV196 )
| ( SY1964 = SY1965 )
| ~ ( c_lessequals @ SY1965 @ SY1964 @ SV196 )
| ~ ( c_lessequals @ SY1964 @ SY1965 @ SV196 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1355]) ).
thf(1964,plain,
! [SV197: $i] :
( ( ! [SY1966: $i,SY1967: $i] :
( ( SV197 = SY1966 )
| ~ ( c_lessequals @ SY1966 @ SV197 @ ( tc_fun @ SY1967 @ tc_bool ) )
| ~ ( c_lessequals @ SV197 @ SY1966 @ ( tc_fun @ SY1967 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1356]) ).
thf(1965,plain,
! [SV198: $i] :
( ( ! [SY1968: $i,SY1969: $i] :
( ( SV198 = SY1968 )
| ~ ( c_lessequals @ SY1968 @ SV198 @ ( tc_fun @ SY1969 @ tc_bool ) )
| ~ ( c_lessequals @ SV198 @ SY1968 @ ( tc_fun @ SY1969 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1357]) ).
thf(1966,plain,
! [SV199: $i] :
( ( ~ ( class_Orderings_Otop @ SV199 )
| ( ( hAPP @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ t_a @ SV199 ) ) @ v_x )
= ( c_Orderings_Otop__class_Otop @ SV199 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1358]) ).
thf(1967,plain,
! [SV200: $i] :
( ( ! [SY1970: $i] : ( hBOOL @ ( hAPP @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SV200 @ tc_bool ) ) @ SY1970 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1359]) ).
thf(1968,plain,
! [SV201: $i] :
( ( ! [SY1971: $i] : ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ SV201 ) @ ( c_Message_Osynth @ SY1971 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Message_Osynth @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV201 @ SY1971 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1360]) ).
thf(1969,plain,
! [SV202: $i] :
( ( ! [SY1972: $i] :
( ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV202 @ SY1972 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ SV202 ) @ ( c_Message_Oparts @ SY1972 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1361]) ).
thf(1970,plain,
! [SV203: $i] :
( ( c_lessequals @ SV203 @ ( c_Message_Oparts @ SV203 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1362]) ).
thf(1971,plain,
! [SV204: $i] :
( ( ( ( hAPP @ c_Message_OinvKey @ SV204 )
= SV204 )
| ~ ( hBOOL @ ( c_in @ SV204 @ c_Message_OsymKeys @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1363]) ).
thf(1972,plain,
! [SV205: $i] :
( ( ! [SY1973: $i,SY1974: $i,SY1975: $i] :
( ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV205 @ SY1973 @ ( tc_fun @ SY1974 @ tc_bool ) ) @ SY1975 ) )
| ~ ( hBOOL @ ( hAPP @ SV205 @ SY1975 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1364]) ).
thf(1973,plain,
! [SV206: $i] :
( ( ! [SY1976: $i,SY1977: $i,SY1978: $i] :
( ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV206 @ SY1976 @ ( tc_fun @ SY1977 @ tc_bool ) ) @ SY1978 ) )
| ~ ( hBOOL @ ( hAPP @ SY1976 @ SY1978 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1365]) ).
thf(1974,plain,
! [SV207: $i] :
( ( ! [SY1979: $i,SY1980: $i,SY1981: $i] :
( ( hBOOL @ ( hAPP @ SV207 @ SY1979 ) )
| ( hBOOL @ ( hAPP @ SY1980 @ SY1979 ) )
| ~ ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1980 @ SV207 @ ( tc_fun @ SY1981 @ tc_bool ) ) @ SY1979 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1366]) ).
thf(1975,plain,
! [SV208: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ SV208 ) @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV208 @ c_Message_OsymKeys @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1367]) ).
thf(1976,plain,
! [SV209: $i] :
( ( ( hBOOL @ ( c_in @ SV209 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ SV209 ) @ c_Message_OsymKeys @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1368]) ).
thf(1977,plain,
! [SV210: $i] :
( ( ! [SY1982: $i,SY1983: $i] : ( c_lessequals @ SV210 @ ( c_Set_Oinsert @ SY1982 @ SV210 @ SY1983 ) @ ( tc_fun @ SY1983 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1369]) ).
thf(1978,plain,
! [SV211: $i] :
( ( ! [SY1984: $i] : ( c_lessequals @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV211 @ SY1984 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ SV211 ) @ ( c_Message_Oparts @ SY1984 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1370]) ).
thf(1979,plain,
! [SV212: $i] :
( ( ! [SY1985: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ SV212 @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SY1985 @ tc_bool ) ) @ ( tc_fun @ SY1985 @ tc_bool ) )
= ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SY1985 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1371]) ).
thf(1980,plain,
! [SV213: $i] :
( ( ! [SY1986: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SV213 @ tc_bool ) ) @ SY1986 @ ( tc_fun @ SV213 @ tc_bool ) )
= ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SV213 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1372]) ).
thf(1981,plain,
! [SV214: $i] :
( ( ! [SY1987: $i] :
( ~ ( class_Lattices_Obounded__lattice @ SV214 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Otop__class_Otop @ SV214 ) @ SY1987 @ SV214 )
= ( c_Orderings_Otop__class_Otop @ SV214 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1373]) ).
thf(1982,plain,
! [SV215: $i] :
( ( ! [SY1988: $i] :
( ~ ( class_Lattices_Obounded__lattice @ SV215 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SY1988 @ ( c_Orderings_Otop__class_Otop @ SV215 ) @ SV215 )
= ( c_Orderings_Otop__class_Otop @ SV215 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1374]) ).
thf(1983,plain,
! [SV216: $i] :
( ( ! [SY1989: $i,SY1990: $i,SY1991: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV216 ) @ SY1989 ) ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SY1990 ) @ SY1991 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1375]) ).
thf(1984,plain,
! [SV217: $i] :
( ( ! [SY1992: $i,SY1993: $i,SY1994: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ SV217 @ ( c_Set_Oinsert @ SY1992 @ SY1993 @ SY1994 ) @ ( tc_fun @ SY1994 @ tc_bool ) )
= ( c_Set_Oinsert @ SY1992 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV217 @ SY1993 @ ( tc_fun @ SY1994 @ tc_bool ) ) @ SY1994 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1376]) ).
thf(1985,plain,
! [SV218: $i] :
( ( ! [SY1995: $i,SY1996: $i,SY1997: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oinsert @ SV218 @ SY1995 @ SY1996 ) @ SY1997 @ ( tc_fun @ SY1996 @ tc_bool ) )
= ( c_Set_Oinsert @ SV218 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1995 @ SY1997 @ ( tc_fun @ SY1996 @ tc_bool ) ) @ SY1996 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1377]) ).
thf(1986,plain,
! [SV219: $i] :
( ( ! [SY1998: $i,SY1999: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV219 ) @ SY1998 ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV219 ) @ SY1999 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SY1998 @ SY1999 @ tc_Message_Oagent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1378]) ).
thf(1987,plain,
! [SV220: $i] :
( ( ! [SY2000: $i,SY2001: $i,SY2002: $i] :
( ( hBOOL @ ( c_in @ SV220 @ SY2000 @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SY2001 ) @ SV220 ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SY2002 ) @ SY2000 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1379]) ).
thf(1988,plain,
! [SV221: $i] :
( ( ! [SY2003: $i,SY2004: $i,SY2005: $i] :
( ( SV221 = SY2003 )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV221 ) @ SY2004 ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SY2003 ) @ SY2005 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1380]) ).
thf(1989,plain,
! [SV222: $i] :
( ( ! [SY2006: $i,SY2007: $i,SY2008: $i] :
( ( c_lessequals @ SV222 @ ( c_Set_Oinsert @ SY2006 @ SY2007 @ SY2008 ) @ ( tc_fun @ SY2008 @ tc_bool ) )
| ~ ( c_lessequals @ SV222 @ SY2007 @ ( tc_fun @ SY2008 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1381]) ).
thf(1990,plain,
! [SV223: $i] :
( ( ! [SY2009: $i,SY2010: $i,SY2011: $i] :
( ( c_lessequals @ SV223 @ SY2009 @ ( tc_fun @ SY2010 @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Set_Oinsert @ SY2011 @ SV223 @ SY2010 ) @ SY2009 @ ( tc_fun @ SY2010 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1382]) ).
thf(1991,plain,
! [SV224: $i] :
( ( ! [SY2012: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ SV224 ) @ ( c_Message_Oparts @ SY2012 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ SV224 @ SY2012 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1383]) ).
thf(1992,plain,
! [SV225: $i] :
( ( ! [SY2013: $i,SY2014: $i,SY2015: $i,SY2016: $i,SY2017: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ SV225 @ SY2013 ) @ SY2014 @ SY2015 ) )
| ~ ( hBOOL @ ( c_in @ SY2013 @ SY2016 @ SY2017 ) )
| ~ ( c_lessequals @ ( c_Set_Oimage @ SV225 @ SY2016 @ SY2017 @ SY2015 ) @ SY2014 @ ( tc_fun @ SY2015 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1384]) ).
thf(1993,plain,
! [SV226: $i] :
( ( ! [SY2018: $i,SY2019: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV226 ) @ SY2018 ) @ ( c_Set_Oimage @ c_Public_OshrK @ SY2019 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1385]) ).
thf(1994,plain,
! [SV227: $i] :
( ( ! [SY2020: $i,SY2021: $i] :
( ~ ( class_Lattices_Olattice @ SV227 )
| ( ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2020 @ SY2021 @ ( tc_fun @ t_a @ SV227 ) ) @ v_x )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( hAPP @ SY2020 @ v_x ) @ ( hAPP @ SY2021 @ v_x ) @ SV227 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1386]) ).
thf(1995,plain,
! [SV228: $i] :
( ( ! [SY2022: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ SV228 @ SV228 @ ( tc_fun @ SY2022 @ tc_bool ) )
= SV228 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1387]) ).
thf(1996,plain,
! [SV229: $i] :
( ( ! [SY2023: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV229 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SY2023 @ SY2023 @ SV229 )
= SY2023 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1388]) ).
thf(1997,plain,
! [SV230: $i] :
( ( ! [SY2024: $i] : ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oanalz @ SV230 ) @ ( c_Message_Oanalz @ SY2024 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV230 @ SY2024 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1389]) ).
thf(1998,plain,
! [SV231: $i] :
( ( ! [SY2025: $i] : ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ SV231 ) @ ( c_Message_Oparts @ SY2025 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV231 @ SY2025 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1390]) ).
thf(1999,plain,
! [SV232: $i] :
( ( ! [SY2026: $i,SY2027: $i,SY2028: $i] : ( hBOOL @ ( c_in @ ( hAPP @ SV232 @ SY2026 ) @ ( c_Set_Oimage @ SV232 @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SY2027 @ tc_bool ) ) @ SY2027 @ SY2028 ) @ SY2028 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1391]) ).
thf(2000,plain,
! [SV233: $i] :
( ( ! [SY2029: $i,SY2030: $i,SY2031: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ SV233 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2029 @ SY2030 @ ( tc_fun @ SY2031 @ tc_bool ) ) @ ( tc_fun @ SY2031 @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SY2029 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV233 @ SY2030 @ ( tc_fun @ SY2031 @ tc_bool ) ) @ ( tc_fun @ SY2031 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1392]) ).
thf(2001,plain,
! [SV234: $i] :
( ( ! [SY2032: $i,SY2033: $i,SY2034: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV234 @ SY2032 @ ( tc_fun @ SY2033 @ tc_bool ) ) @ SY2034 @ ( tc_fun @ SY2033 @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV234 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2032 @ SY2034 @ ( tc_fun @ SY2033 @ tc_bool ) ) @ ( tc_fun @ SY2033 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1393]) ).
thf(2002,plain,
! [SV235: $i] :
( ( ! [SY2035: $i,SY2036: $i,SY2037: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV235 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2035 @ SY2036 @ SV235 ) @ SY2037 @ SV235 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SY2035 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2036 @ SY2037 @ SV235 ) @ SV235 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1394]) ).
thf(2003,plain,
! [SV236: $i] :
( ( ! [SY2038: $i,SY2039: $i,SY2040: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV236 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SY2038 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2039 @ SY2040 @ SV236 ) @ SV236 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SY2039 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2038 @ SY2040 @ SV236 ) @ SV236 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1395]) ).
thf(2004,plain,
! [SV237: $i] :
( ( ! [SY2041: $i,SY2042: $i,SY2043: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ SV237 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2041 @ SY2042 @ ( tc_fun @ SY2043 @ tc_bool ) ) @ ( tc_fun @ SY2043 @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV237 @ SY2041 @ ( tc_fun @ SY2043 @ tc_bool ) ) @ SY2042 @ ( tc_fun @ SY2043 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1396]) ).
thf(2005,plain,
! [SV238: $i] :
( ( ! [SY2044: $i,SY2045: $i,SY2046: $i] :
( ~ ( class_Lattices_Olattice @ SV238 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SY2044 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2045 @ SY2046 @ SV238 ) @ SV238 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SY2045 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2044 @ SY2046 @ SV238 ) @ SV238 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1397]) ).
thf(2006,plain,
! [SV239: $i] :
( ( ! [SY2047: $i,SY2048: $i,SY2049: $i] :
( ~ ( class_Lattices_Olattice @ SV239 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2047 @ SY2048 @ SV239 ) @ SY2049 @ SV239 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SY2047 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2048 @ SY2049 @ SV239 ) @ SV239 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1398]) ).
thf(2007,plain,
! [SV240: $i] :
( ( ! [SY2050: $i,SY2051: $i,SY2052: $i] :
( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV240 @ SY2050 @ ( tc_fun @ SY2051 @ tc_bool ) ) @ SY2052 @ ( tc_fun @ SY2051 @ tc_bool ) )
| ~ ( c_lessequals @ SY2050 @ SY2052 @ ( tc_fun @ SY2051 @ tc_bool ) )
| ~ ( c_lessequals @ SV240 @ SY2052 @ ( tc_fun @ SY2051 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1399]) ).
thf(2008,plain,
! [SV241: $i] :
( ( ! [SY2053: $i,SY2054: $i] : ( c_lessequals @ SV241 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2053 @ SV241 @ ( tc_fun @ SY2054 @ tc_bool ) ) @ ( tc_fun @ SY2054 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1400]) ).
thf(2009,plain,
! [SV242: $i] :
( ( ! [SY2055: $i,SY2056: $i] : ( c_lessequals @ SV242 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV242 @ SY2055 @ ( tc_fun @ SY2056 @ tc_bool ) ) @ ( tc_fun @ SY2056 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1401]) ).
thf(2010,plain,
! [SV243: $i] :
( ( ! [SY2057: $i,SY2058: $i,SY2059: $i] :
( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV243 @ SY2057 @ ( tc_fun @ SY2058 @ tc_bool ) ) @ SY2059 @ ( tc_fun @ SY2058 @ tc_bool ) )
| ~ ( c_lessequals @ SY2057 @ SY2059 @ ( tc_fun @ SY2058 @ tc_bool ) )
| ~ ( c_lessequals @ SV243 @ SY2059 @ ( tc_fun @ SY2058 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1402]) ).
thf(2011,plain,
! [SV244: $i] :
( ( ! [SY2060: $i,SY2061: $i,SY2062: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV244 )
| ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2060 @ SY2061 @ SV244 ) @ SY2062 @ SV244 )
| ~ ( c_lessequals @ SY2061 @ SY2062 @ SV244 )
| ~ ( c_lessequals @ SY2060 @ SY2062 @ SV244 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1403]) ).
thf(2012,plain,
! [SV245: $i] :
( ( ! [SY2063: $i,SY2064: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV245 )
| ( c_lessequals @ SY2063 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2063 @ SY2064 @ SV245 ) @ SV245 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1404]) ).
thf(2013,plain,
! [SV246: $i] :
( ( ! [SY2065: $i,SY2066: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV246 )
| ( c_lessequals @ SY2065 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2066 @ SY2065 @ SV246 ) @ SV246 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1405]) ).
thf(2014,plain,
! [SV247: $i] :
( ( ! [SY2067: $i,SY2068: $i,SY2069: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV247 )
| ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2067 @ SY2068 @ SV247 ) @ SY2069 @ SV247 )
| ~ ( c_lessequals @ SY2068 @ SY2069 @ SV247 )
| ~ ( c_lessequals @ SY2067 @ SY2069 @ SV247 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1406]) ).
thf(2015,plain,
! [SV248: $i] :
( ( ! [SY2070: $i,SY2071: $i,SY2072: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV248 )
| ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2070 @ SY2071 @ SV248 ) @ SY2072 @ SV248 )
| ~ ( c_lessequals @ SY2071 @ SY2072 @ SV248 )
| ~ ( c_lessequals @ SY2070 @ SY2072 @ SV248 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1407]) ).
thf(2016,plain,
! [SV249: $i] :
( ( ! [SY2073: $i,SY2074: $i] :
( ~ ( class_Lattices_Olattice @ SV249 )
| ( c_lessequals @ SY2073 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2074 @ SY2073 @ SV249 ) @ SV249 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1408]) ).
thf(2017,plain,
! [SV250: $i] :
( ( ! [SY2075: $i,SY2076: $i] :
( ~ ( class_Lattices_Olattice @ SV250 )
| ( c_lessequals @ SY2075 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2075 @ SY2076 @ SV250 ) @ SV250 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1409]) ).
thf(2018,plain,
! [SV251: $i] :
( ( ! [SY2077: $i,SY2078: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ SV251 @ SY2077 @ ( tc_fun @ SY2078 @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SY2077 @ SV251 @ ( tc_fun @ SY2078 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1410]) ).
thf(2019,plain,
! [SV252: $i] :
( ( ! [SY2079: $i,SY2080: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV252 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SY2079 @ SY2080 @ SV252 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SY2080 @ SY2079 @ SV252 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1411]) ).
thf(2020,plain,
! [SV253: $i] :
( ( ! [SY2081: $i,SY2082: $i] :
( ~ ( class_Lattices_Olattice @ SV253 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SY2081 @ SY2082 @ SV253 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SY2082 @ SY2081 @ SV253 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1412]) ).
thf(2021,plain,
! [SV254: $i] :
( ( ! [SY2083: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ SV254 ) @ ( c_Message_Oparts @ SY2083 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ SV254 @ ( c_Message_Oparts @ SY2083 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1413]) ).
thf(2022,plain,
! [SV255: $i] :
( ( ! [SY2084: $i] :
( ( c_lessequals @ SV255 @ ( c_Message_Oparts @ SY2084 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oparts @ SV255 ) @ ( c_Message_Oparts @ SY2084 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1414]) ).
thf(2023,plain,
! [SV256: $i] :
( ( ! [SY2085: $i,SY2086: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ SV256 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV256 @ SY2085 @ ( tc_fun @ SY2086 @ tc_bool ) ) @ ( tc_fun @ SY2086 @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV256 @ SY2085 @ ( tc_fun @ SY2086 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1415]) ).
thf(2024,plain,
! [SV257: $i] :
( ( ! [SY2087: $i,SY2088: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV257 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SY2087 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2087 @ SY2088 @ SV257 ) @ SV257 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SY2087 @ SY2088 @ SV257 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1416]) ).
thf(2025,plain,
! [SV258: $i] :
( ( ! [SY2089: $i,SY2090: $i] :
( ~ ( class_Lattices_Olattice @ SV258 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SY2089 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2089 @ SY2090 @ SV258 ) @ SV258 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SY2089 @ SY2090 @ SV258 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1417]) ).
thf(2026,plain,
! [SV259: $i] :
( ( ! [SY2091: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV259 ) @ SY2091 ) @ c_Message_OsymKeys @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1418]) ).
thf(2027,plain,
! [SV260: $i] :
( ( ! [SY2092: $i,SY2093: $i,SY2094: $i,SY2095: $i] :
( ( c_Set_Oinsert @ ( hAPP @ SV260 @ SY2092 ) @ ( c_Set_Oimage @ SV260 @ SY2093 @ SY2094 @ SY2095 ) @ SY2095 )
= ( c_Set_Oimage @ SV260 @ ( c_Set_Oinsert @ SY2092 @ SY2093 @ SY2094 ) @ SY2094 @ SY2095 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1419]) ).
thf(2028,plain,
! [SV261: $i] :
( ( ! [SY2096: $i,SY2097: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ SV261 ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SY2096 ) @ SY2097 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1420]) ).
thf(2029,plain,
! [SV262: $i] :
( ( ! [SY2098: $i,SY2099: $i,SY2100: $i,SY2101: $i] :
( ~ ( class_HOL_Oord @ SV262 )
| ( c_lessequals @ ( hAPP @ SY2098 @ SY2099 ) @ ( hAPP @ SY2100 @ SY2099 ) @ SV262 )
| ~ ( c_lessequals @ SY2098 @ SY2100 @ ( tc_fun @ SY2101 @ SV262 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1421]) ).
thf(2030,plain,
! [SV263: $i] :
( ( ! [SY2102: $i] :
( ~ ( hBOOL @ ( c_in @ SV263 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV263 ) @ ( c_Event_Oused @ SY2102 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1422]) ).
thf(2031,plain,
! [SV264: $i] :
( ( ! [SY2103: $i,SY2104: $i,SY2105: $i] :
( ( hBOOL @ ( c_in @ SV264 @ SY2103 @ SY2104 ) )
| ~ ( hBOOL @ ( c_in @ SV264 @ SY2105 @ SY2104 ) )
| ~ ( c_lessequals @ SY2105 @ SY2103 @ ( tc_fun @ SY2104 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1423]) ).
thf(2032,plain,
! [SV265: $i] :
( ( ! [SY2106: $i,SY2107: $i,SY2108: $i] :
( ( hBOOL @ ( c_in @ SV265 @ SY2106 @ SY2107 ) )
| ~ ( c_lessequals @ SY2108 @ SY2106 @ ( tc_fun @ SY2107 @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV265 @ SY2108 @ SY2107 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1424]) ).
thf(2033,plain,
! [SV266: $i] :
( ( ! [SY2109: $i,SY2110: $i,SY2111: $i] :
( ( hBOOL @ ( c_in @ SV266 @ SY2109 @ SY2110 ) )
| ~ ( hBOOL @ ( c_in @ SV266 @ SY2111 @ SY2110 ) )
| ~ ( c_lessequals @ SY2111 @ SY2109 @ ( tc_fun @ SY2110 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1425]) ).
thf(2034,plain,
! [SV267: $i] :
( ( ! [SY2112: $i,SY2113: $i,SY2114: $i] :
( ( hBOOL @ ( c_in @ SV267 @ SY2112 @ SY2113 ) )
| ~ ( hBOOL @ ( c_in @ SV267 @ SY2114 @ SY2113 ) )
| ~ ( c_lessequals @ SY2114 @ SY2112 @ ( tc_fun @ SY2113 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1426]) ).
thf(2035,plain,
! [SV268: $i] :
( ( ! [SY2115: $i,SY2116: $i,SY2117: $i] :
( ( hBOOL @ ( c_in @ SV268 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2115 @ SY2116 @ ( tc_fun @ SY2117 @ tc_bool ) ) @ SY2117 ) )
| ~ ( hBOOL @ ( c_in @ SV268 @ SY2115 @ SY2117 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1427]) ).
thf(2036,plain,
! [SV269: $i] :
( ( ! [SY2118: $i,SY2119: $i,SY2120: $i] :
( ( hBOOL @ ( c_in @ SV269 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2118 @ SY2119 @ ( tc_fun @ SY2120 @ tc_bool ) ) @ SY2120 ) )
| ~ ( hBOOL @ ( c_in @ SV269 @ SY2119 @ SY2120 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1428]) ).
thf(2037,plain,
! [SV270: $i] :
( ( ! [SY2121: $i,SY2122: $i,SY2123: $i] :
( ( hBOOL @ ( c_in @ SV270 @ SY2121 @ SY2122 ) )
| ( hBOOL @ ( c_in @ SV270 @ SY2123 @ SY2122 ) )
| ~ ( hBOOL @ ( c_in @ SV270 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2123 @ SY2121 @ ( tc_fun @ SY2122 @ tc_bool ) ) @ SY2122 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1429]) ).
thf(2038,plain,
! [SV271: $i] :
( ( ! [SY2124: $i] : ( hBOOL @ ( c_in @ SV271 @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SY2124 @ tc_bool ) ) @ SY2124 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1430]) ).
thf(2039,plain,
! [SV272: $i] :
( ( ! [SY2125: $i,SY2126: $i,SY2127: $i,SY2128: $i] :
( ~ ( hBOOL @ ( c_in @ SV272 @ SY2125 @ SY2126 ) )
| ( hBOOL @ ( c_in @ ( hAPP @ SY2127 @ SV272 ) @ ( c_Set_Oimage @ SY2127 @ SY2125 @ SY2126 @ SY2128 ) @ SY2128 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1431]) ).
thf(2040,plain,
! [SV273: $i] :
( ( ! [SY2129: $i,SY2130: $i,SY2131: $i,SY2132: $i] :
( ~ ( hBOOL @ ( c_in @ SV273 @ SY2129 @ SY2130 ) )
| ( hBOOL @ ( c_in @ ( hAPP @ SY2131 @ SV273 ) @ ( c_Set_Oimage @ SY2131 @ SY2129 @ SY2130 @ SY2132 ) @ SY2132 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1432]) ).
thf(2041,plain,
! [SV274: $i] :
( ( ! [SY2133: $i,SY2134: $i,SY2135: $i,SY2136: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ SV274 @ SY2133 ) @ ( c_Set_Oimage @ SV274 @ SY2134 @ SY2135 @ SY2136 ) @ SY2136 ) )
| ~ ( hBOOL @ ( c_in @ SY2133 @ SY2134 @ SY2135 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1433]) ).
thf(2042,plain,
! [SV275: $i] :
( ( ! [SY2137: $i,SY2138: $i,SY2139: $i,SY2140: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ SV275 @ SY2137 ) @ ( c_Set_Oimage @ SV275 @ SY2138 @ SY2139 @ SY2140 ) @ SY2140 ) )
| ~ ( hBOOL @ ( c_in @ SY2137 @ SY2138 @ SY2139 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1434]) ).
thf(2043,plain,
! [SV276: $i] :
( ( ! [SY2141: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ SV276 ) @ ( c_Message_Oanalz @ SY2141 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ SV276 @ SY2141 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1435]) ).
thf(2044,plain,
! [SV277: $i] :
( ( ! [SY2142: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ SV277 ) @ ( c_Message_Oanalz @ SY2142 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ SV277 @ ( c_Message_Oanalz @ SY2142 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1436]) ).
thf(2045,plain,
! [SV278: $i] :
( ( ! [SY2143: $i] :
( ( c_lessequals @ SV278 @ ( c_Message_Oanalz @ SY2143 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oanalz @ SV278 ) @ ( c_Message_Oanalz @ SY2143 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1437]) ).
thf(2046,plain,
! [SV279: $i] :
( ( c_lessequals @ SV279 @ ( c_Message_Oanalz @ SV279 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1438]) ).
thf(2047,plain,
! [SV280: $i] :
( ( ! [SY2144: $i] :
( ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oanalz @ SV280 ) @ SY2144 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV280 @ SY2144 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1439]) ).
thf(2048,plain,
! [SV281: $i] :
( ( c_lessequals @ SV281 @ ( c_Message_Osynth @ SV281 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1441]) ).
thf(2049,plain,
! [SV282: $i] :
( ( ! [SY2145: $i] :
( ( c_lessequals @ ( c_Message_Osynth @ SV282 ) @ ( c_Message_Osynth @ SY2145 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ SV282 @ SY2145 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1442]) ).
thf(2050,plain,
! [SV283: $i] :
( ( ! [SY2146: $i] :
( ( c_lessequals @ ( c_Message_Osynth @ SV283 ) @ ( c_Message_Osynth @ SY2146 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ SV283 @ ( c_Message_Osynth @ SY2146 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1443]) ).
thf(2051,plain,
! [SV284: $i] :
( ( ! [SY2147: $i] :
( ( c_lessequals @ SV284 @ ( c_Message_Osynth @ SY2147 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Osynth @ SV284 ) @ ( c_Message_Osynth @ SY2147 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1444]) ).
thf(2052,plain,
! [SV285: $i] :
( ( ! [SY2148: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ SV285 ) @ ( c_Set_Oimage @ c_Public_OshrK @ SY2148 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV285 @ SY2148 @ tc_Message_Oagent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1445]) ).
thf(2053,plain,
! [SV286: $i] :
( ( ! [SY2149: $i] :
( ( hBOOL @ ( c_in @ SV286 @ SY2149 @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ SV286 ) @ ( c_Set_Oimage @ c_Public_OshrK @ SY2149 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1446]) ).
thf(2054,plain,
! [SV287: $i] :
( ( ! [SY2150: $i,SY2151: $i,SY2152: $i,SY2153: $i,SY2154: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV287 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV287 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY2150 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2151 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2152 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY2151 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2152 ) @ ( c_Message_Omsg_OAgent @ SV287 ) ) ) ) ) ) ) ) @ SY2153 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY2154 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV287 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2151 ) @ ( c_Message_Omsg_ONonce @ SY2150 ) ) ) ) @ ( c_List_Oset @ SY2153 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SY2152 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SY2152 ) @ ( c_Event_Oused @ SY2153 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SY2153 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1447]) ).
thf(2055,plain,
! [SV288: $i] :
( ( ! [SY2155: $i,SY2156: $i,SY2157: $i,SY2158: $i,SY2159: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV288 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV288 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY2155 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2156 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2157 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY2156 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2157 ) @ ( c_Message_Omsg_OAgent @ SV288 ) ) ) ) ) ) ) ) @ SY2158 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY2159 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV288 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2156 ) @ ( c_Message_Omsg_ONonce @ SY2155 ) ) ) ) @ ( c_List_Oset @ SY2158 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SY2157 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SY2157 ) @ ( c_Event_Oused @ SY2158 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY2158 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1448]) ).
thf(2056,plain,
! [SV289: $i] :
( ( ! [SY2160: $i,SY2161: $i] :
( ( hBOOL @ ( c_in @ SV289 @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY2160 ) ) @ ( c_Message_Oparts @ SY2160 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY2161 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY2160 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV289 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SY2161 @ SY2160 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1449]) ).
thf(2057,plain,
! [SV290: $i] :
( ( ! [SY2162: $i,SY2163: $i,SY2164: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV290 ) @ ( c_Message_Oanalz @ SY2162 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV290 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SY2163 @ SY2162 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SY2164 @ SY2162 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SY2163 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY2164 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1450]) ).
thf(2058,plain,
! [SV291: $i] :
( ( ! [SY2165: $i,SY2166: $i,SY2167: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV291 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SY2165 @ SY2166 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV291 ) @ ( c_Message_Oanalz @ SY2166 ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SY2167 @ SY2166 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SY2165 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY2167 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1451]) ).
thf(2059,plain,
! [SV292: $i] :
( ( ! [SY2168: $i,SY2169: $i,SY2170: $i,SY2171: $i,SY2172: $i,SY2173: $i] :
( ( hBOOL @ ( c_in @ SV292 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2168 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY2169 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SY2168 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY2170 @ SY2171 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY2171 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY2172 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2173 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2169 ) @ SV292 ) ) ) ) ) @ ( c_List_Oset @ SY2168 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1452]) ).
thf(2060,plain,
! [SV293: $i] :
( ( ! [SY2174: $i,SY2175: $i,SY2176: $i,SY2177: $i,SY2178: $i,SY2179: $i,SY2180: $i,SY2181: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV293 @ SY2174 @ ( c_Message_Omsg_OCrypt @ SY2175 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY2176 ) @ ( c_Message_Omsg_ONonce @ SY2176 ) ) ) ) @ SY2177 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY2178 @ SV293 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV293 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY2179 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2174 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2175 ) @ SY2180 ) ) ) ) ) @ ( c_List_Oset @ SY2177 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY2181 @ SV293 @ ( c_Message_Omsg_OCrypt @ SY2175 @ ( c_Message_Omsg_ONonce @ SY2176 ) ) ) @ ( c_List_Oset @ SY2177 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SY2175 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SY2177 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1453]) ).
thf(2061,plain,
! [SV294: $i] :
( ( ! [SY2182: $i,SY2183: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV294 @ SY2182 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SY2182 @ SY2183 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV294 @ SY2182 ) @ SY2183 @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV294 ) ) @ ( c_Message_Oanalz @ SY2183 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1454]) ).
thf(2062,plain,
! [SV295: $i] :
( ( ! [SY2184: $i,SY2185: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV295 @ SY2184 ) @ SY2185 @ tc_Message_Omsg ) ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV295 @ SY2184 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SY2184 @ SY2185 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV295 ) ) @ ( c_Message_Oanalz @ SY2185 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1455]) ).
thf(2063,plain,
! [SV296: $i] :
( ( ! [SY2186: $i,SY2187: $i,SY2188: $i,SY2189: $i,SY2190: $i,SY2191: $i,SY2192: $i,SY2193: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV296 @ SY2186 @ ( c_Message_Omsg_OCrypt @ SY2187 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY2188 ) @ ( c_Message_Omsg_ONonce @ SY2188 ) ) ) ) @ SY2189 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY2190 @ SV296 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV296 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY2191 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2186 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2187 ) @ SY2192 ) ) ) ) ) @ ( c_List_Oset @ SY2189 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY2193 @ SV296 @ ( c_Message_Omsg_OCrypt @ SY2187 @ ( c_Message_Omsg_ONonce @ SY2188 ) ) ) @ ( c_List_Oset @ SY2189 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SY2187 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SY2189 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1456]) ).
thf(2064,plain,
! [SV297: $i] :
( ( ! [SY2194: $i,SY2195: $i,SY2196: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV297 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV297 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2194 ) @ ( c_Message_Omsg_ONonce @ SY2195 ) ) ) ) @ SY2196 @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SY2195 ) @ ( c_Event_Oused @ SY2196 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SY2196 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1457]) ).
thf(2065,plain,
! [SV298: $i] :
( ( ! [SY2197: $i,SY2198: $i,SY2199: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV298 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV298 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2197 ) @ ( c_Message_Omsg_ONonce @ SY2198 ) ) ) ) @ SY2199 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SY2198 ) @ ( c_Event_Oused @ SY2199 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY2199 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1458]) ).
thf(2066,plain,
! [SV299: $i] :
( ( ! [SY2200: $i,SY2201: $i,SY2202: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV299 @ SY2200 @ SY2201 ) @ SY2202 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SY2201 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2202 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1459]) ).
thf(2067,plain,
! [SV300: $i] :
( ( ! [SY2203: $i,SY2204: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ ( c_Public_OpublicKey @ SV300 ) @ SY2203 ) ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2204 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1460]) ).
thf(2068,plain,
! [SV301: $i] :
( ( ! [SY2205: $i,SY2206: $i] :
( ( hBOOL @ ( c_in @ SV301 @ ( c_Message_Oanalz @ SY2205 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SY2206 ) ) @ ( c_Message_Oanalz @ SY2205 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SY2206 @ SV301 ) @ ( c_Message_Oanalz @ SY2205 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1461]) ).
thf(2069,plain,
! [SV302: $i] :
( ( ! [SY2207: $i,SY2208: $i] :
( ( c_Event_Oknows @ SV302 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV302 @ SY2207 ) @ SY2208 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SY2207 @ ( c_Event_Oknows @ SV302 @ SY2208 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1462]) ).
thf(2070,plain,
! [SV303: $i] :
( ( ! [SY2209: $i,SY2210: $i,SY2211: $i] :
( ( c_Event_Oknows @ SV303 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV303 @ SY2209 @ SY2210 ) @ SY2211 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SY2210 @ ( c_Event_Oknows @ SV303 @ SY2211 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1464]) ).
thf(2071,plain,
! [SV304: $i] :
( ( ! [SY2212: $i,SY2213: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV304 @ SY2212 ) @ SY2213 @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2213 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1465]) ).
thf(2072,plain,
! [SV305: $i] :
( ( ! [SY2214: $i,SY2215: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV305 ) @ SY2214 ) ) ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2215 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY2214 @ c_Event_Obad @ tc_Message_Oagent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1466]) ).
thf(2073,plain,
! [SV306: $i] :
( ( ! [SY2216: $i] :
( ( ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV306 @ SY2216 @ tc_Message_Omsg ) ) )
= ( c_Message_Osynth @ ( c_Message_Oanalz @ SY2216 ) ) )
| ~ ( hBOOL @ ( c_in @ SV306 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY2216 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1467]) ).
thf(2074,plain,
! [SV307: $i] :
( ( ! [SY2217: $i] :
( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ SV307 ) @ SY2217 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ SV307 ) @ ( c_Message_Oanalz @ SY2217 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1468]) ).
thf(2075,plain,
! [SV308: $i] :
( ( ! [SY2218: $i,SY2219: $i] :
( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV308 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ SY2218 ) @ SY2219 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ SY2218 ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV308 ) @ SY2219 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1469]) ).
thf(2076,plain,
! [SV309: $i] :
( ( ! [SY2220: $i,SY2221: $i,SY2222: $i] :
( ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV309 @ SY2220 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ SY2221 ) @ SY2222 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ SY2221 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV309 @ SY2220 ) @ SY2222 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1470]) ).
thf(2077,plain,
! [SV310: $i] :
( ( ! [SY2223: $i,SY2224: $i,SY2225: $i] :
( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV310 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SY2223 @ SY2224 ) @ SY2225 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SY2223 @ SY2224 ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV310 ) @ SY2225 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1471]) ).
thf(2078,plain,
! [SV311: $i] :
( ( ! [SY2226: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV311 ) @ SY2226 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV311 ) @ ( c_Message_Osynth @ SY2226 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1472]) ).
thf(2079,plain,
! [SV312: $i] :
( ( ! [SY2227: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV312 ) @ SY2227 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV312 ) @ ( c_Message_Osynth @ SY2227 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1473]) ).
thf(2080,plain,
! [SV313: $i] :
( ( ! [SY2228: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV313 ) @ ( c_Message_Osynth @ SY2228 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV313 ) @ SY2228 @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1474]) ).
thf(2081,plain,
! [SV314: $i] :
( ( ! [SY2229: $i,SY2230: $i] :
( ( hBOOL @ ( c_in @ SV314 @ ( c_Message_Osynth @ SY2229 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY2230 @ ( c_Message_Osynth @ SY2229 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV314 @ ( c_Message_Osynth @ ( c_Set_Oinsert @ SY2230 @ SY2229 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1475]) ).
thf(2082,plain,
! [SV315: $i] :
( ( ! [SY2231: $i,SY2232: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV315 @ SY2231 ) @ SY2232 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV315 @ SY2231 ) @ ( c_Message_Oanalz @ SY2232 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV315 ) ) @ ( c_Message_Oanalz @ SY2232 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1476]) ).
thf(2083,plain,
! [SV316: $i] :
( ( ! [SY2233: $i,SY2234: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV316 @ SY2233 ) @ SY2234 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV316 @ SY2233 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SY2233 @ SY2234 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV316 ) ) @ ( c_Message_Oanalz @ SY2234 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1477]) ).
thf(2084,plain,
! [SV317: $i] :
( ( ! [SY2235: $i,SY2236: $i,SY2237: $i] :
( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV317 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SY2235 @ SY2236 ) @ SY2237 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SY2235 @ SY2236 ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV317 ) @ SY2237 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1478]) ).
thf(2085,plain,
! [SV318: $i] :
( ( ! [SY2238: $i,SY2239: $i] :
( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV318 @ SY2238 ) @ SY2239 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV318 @ SY2238 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV318 @ ( c_Set_Oinsert @ SY2238 @ SY2239 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1479]) ).
thf(2086,plain,
! [SV319: $i] :
( ( ! [SY2240: $i] :
( ( hBOOL @ ( c_in @ SV319 @ ( c_Message_Oparts @ SY2240 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV319 @ ( c_Message_Oanalz @ SY2240 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1480]) ).
thf(2087,plain,
! [SV320: $i] :
( ( ! [SY2241: $i] :
( ( hBOOL @ ( c_in @ SV320 @ ( c_Message_Oparts @ SY2241 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV320 @ ( c_Message_Oanalz @ SY2241 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1481]) ).
thf(2088,plain,
! [SV321: $i] :
( ( ! [SY2242: $i] :
( ~ ( hBOOL @ ( c_in @ SV321 @ ( c_Message_Oanalz @ SY2242 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV321 @ ( c_Message_Oparts @ SY2242 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1482]) ).
thf(2089,plain,
! [SV322: $i] :
( ( ! [SY2243: $i,SY2244: $i] :
( ( hBOOL @ ( c_in @ SV322 @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SY2243 @ SY2244 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV322 @ ( c_Message_Oanalz @ SY2244 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1483]) ).
thf(2090,plain,
! [SV323: $i] :
( ( ! [SY2245: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV323 @ SY2245 @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ SY2245 ) )
| ~ ( hBOOL @ ( c_in @ SV323 @ ( c_Message_Oanalz @ SY2245 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1484]) ).
thf(2091,plain,
! [SV324: $i] :
( ( ! [SY2246: $i,SY2247: $i] :
( ( hBOOL @ ( c_in @ SV324 @ ( c_Message_Oanalz @ SY2246 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY2247 @ ( c_Message_Oanalz @ SY2246 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV324 @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SY2247 @ SY2246 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1485]) ).
thf(2092,plain,
! [SV325: $i] :
( ( ! [SY2248: $i,SY2249: $i,SY2250: $i,SY2251: $i] :
( ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV325 @ SY2248 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SY2249 @ SY2250 ) @ SY2251 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SY2249 @ SY2250 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV325 @ SY2248 ) @ SY2251 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1486]) ).
thf(2093,plain,
! [SV326: $i] :
( ( ! [SY2252: $i,SY2253: $i] :
( ( hBOOL @ ( c_in @ SV326 @ ( c_Message_Oparts @ SY2252 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SY2253 @ SV326 ) @ ( c_Message_Oparts @ SY2252 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1487]) ).
thf(2094,plain,
! [SV327: $i] :
( ( ! [SY2254: $i,SY2255: $i] :
( ( hBOOL @ ( c_in @ SV327 @ ( c_Message_Oparts @ SY2254 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV327 @ SY2255 ) @ ( c_Message_Oparts @ SY2254 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1488]) ).
thf(2095,plain,
! [SV328: $i] :
( ( ! [SY2256: $i,SY2257: $i] :
( ( hBOOL @ ( c_in @ SV328 @ ( c_Message_Oparts @ SY2256 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SY2257 @ SV328 ) @ ( c_Message_Oparts @ SY2256 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1489]) ).
thf(2096,plain,
! [SV329: $i] :
( ( ! [SY2258: $i,SY2259: $i] :
( ( c_List_Oset @ ( c_List_Olist_OCons @ SV329 @ SY2258 @ SY2259 ) @ SY2259 )
= ( c_Set_Oinsert @ SV329 @ ( c_List_Oset @ SY2258 @ SY2259 ) @ SY2259 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1490]) ).
thf(2097,plain,
! [SV330: $i] :
( ( ! [SY2260: $i,SY2261: $i] :
( ( ( c_Event_Oknows @ SV330 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV330 @ SY2260 ) @ SY2261 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SY2260 @ ( c_Event_Oknows @ SV330 @ SY2261 ) @ tc_Message_Omsg ) )
| ( SV330 = c_Message_Oagent_OSpy ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1491]) ).
thf(2098,plain,
! [SV331: $i] :
( ( ( hAPP @ c_Message_OinvKey @ ( hAPP @ c_Public_OshrK @ SV331 ) )
= ( hAPP @ c_Public_OshrK @ SV331 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1494]) ).
thf(2099,plain,
! [SV332: $i] :
( ( ( c_Message_Oanalz @ ( c_Message_Oparts @ SV332 ) )
= ( c_Message_Oparts @ SV332 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1501]) ).
thf(2100,plain,
! [SV333: $i] :
( ( ( c_Message_Oparts @ ( c_Message_Oanalz @ SV333 ) )
= ( c_Message_Oparts @ SV333 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1505]) ).
thf(2101,plain,
! [SV334: $i] :
( ( ! [SY2262: $i] :
( ( hBOOL @ ( c_in @ SV334 @ ( c_Message_Oparts @ SY2262 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV334 @ ( c_Message_Oparts @ ( c_Message_Oparts @ SY2262 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1510]) ).
thf(2102,plain,
! [SV335: $i] :
( ( ! [SY2263: $i] :
( ( hBOOL @ ( c_in @ SV335 @ ( c_Message_Oparts @ SY2263 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV335 @ SY2263 @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1511]) ).
thf(2103,plain,
! [SV336: $i] :
( ( ! [SY2264: $i,SY2265: $i] :
( ( ( c_Set_Oinsert @ SV336 @ SY2264 @ SY2265 )
= SY2264 )
| ~ ( hBOOL @ ( c_in @ SV336 @ SY2264 @ SY2265 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1512]) ).
thf(2104,plain,
! [SV337: $i] :
( ( ! [SY2266: $i,SY2267: $i] : ( hBOOL @ ( c_in @ SV337 @ ( c_Set_Oinsert @ SV337 @ SY2266 @ SY2267 ) @ SY2267 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1514]) ).
thf(2105,plain,
! [SV338: $i] :
( ( ! [SY2268: $i,SY2269: $i] : ( hBOOL @ ( c_in @ SV338 @ ( c_Set_Oinsert @ SV338 @ SY2268 @ SY2269 ) @ SY2269 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1515]) ).
thf(2106,plain,
! [SV339: $i] :
( ( ! [SY2270: $i,SY2271: $i] : ( hBOOL @ ( c_in @ SV339 @ ( c_Set_Oinsert @ SV339 @ SY2270 @ SY2271 ) @ SY2271 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1516]) ).
thf(2107,plain,
! [SV340: $i] :
( ( ! [SY2272: $i,SY2273: $i,SY2274: $i] :
( ( hBOOL @ ( c_in @ SV340 @ SY2272 @ SY2273 ) )
| ( SV340 = SY2274 )
| ~ ( hBOOL @ ( c_in @ SV340 @ ( c_Set_Oinsert @ SY2274 @ SY2272 @ SY2273 ) @ SY2273 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1517]) ).
thf(2108,plain,
! [SV341: $i] :
( ( ! [SY2275: $i,SY2276: $i,SY2277: $i] :
( ( hBOOL @ ( c_in @ SV341 @ ( c_Set_Oinsert @ SY2275 @ SY2276 @ SY2277 ) @ SY2277 ) )
| ~ ( hBOOL @ ( c_in @ SV341 @ SY2276 @ SY2277 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1518]) ).
thf(2109,plain,
! [SV342: $i] :
( ( ! [SY2278: $i,SY2279: $i,SY2280: $i] :
( ( hBOOL @ ( c_in @ SV342 @ ( c_Set_Oinsert @ SY2278 @ SY2279 @ SY2280 ) @ SY2280 ) )
| ~ ( hBOOL @ ( c_in @ SV342 @ SY2279 @ SY2280 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1519]) ).
thf(2110,plain,
! [SV343: $i] :
( ( ! [SY2281: $i,SY2282: $i,SY2283: $i] :
( ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV343 @ SY2281 @ SY2282 ) @ SY2283 ) )
| ~ ( hBOOL @ ( hAPP @ SY2281 @ SY2283 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1520]) ).
thf(2111,plain,
! [SV344: $i] :
( ( ! [SY2284: $i,SY2285: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV344 @ SY2284 ) @ SY2285 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV344 @ SY2284 ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SY2284 @ SY2285 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1521]) ).
thf(2112,plain,
! [SV345: $i] :
( ( ! [SY2286: $i,SY2287: $i] :
( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV345 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ SY2286 ) @ SY2287 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ SY2286 ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV345 ) @ SY2287 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1522]) ).
thf(2113,plain,
! [SV346: $i] :
( ( ! [SY2288: $i,SY2289: $i,SY2290: $i] :
( ( c_Set_Oinsert @ SV346 @ ( c_Set_Oinsert @ SY2288 @ SY2289 @ SY2290 ) @ SY2290 )
= ( c_Set_Oinsert @ SY2288 @ ( c_Set_Oinsert @ SV346 @ SY2289 @ SY2290 ) @ SY2290 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1523]) ).
thf(2114,plain,
! [SV347: $i] :
( ( ! [SY2291: $i] :
( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ SV347 ) @ SY2291 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ SV347 ) @ ( c_Message_Oanalz @ SY2291 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1529]) ).
thf(2115,plain,
! [SV348: $i] :
( ( ! [SY2292: $i,SY2293: $i] :
( ( c_Set_Oinsert @ SV348 @ ( c_Set_Oinsert @ SV348 @ SY2292 @ SY2293 ) @ SY2293 )
= ( c_Set_Oinsert @ SV348 @ SY2292 @ SY2293 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1530]) ).
thf(2116,plain,
! [SV349: $i] :
( ( ! [SY2294: $i,SY2295: $i,SY2296: $i] :
( ( hBOOL @ ( hAPP @ SV349 @ SY2294 ) )
| ( SY2295 = SY2294 )
| ~ ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SY2295 @ SV349 @ SY2296 ) @ SY2294 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1531]) ).
thf(2117,plain,
! [SV350: $i] :
( ( ! [SY2297: $i,SY2298: $i,SY2299: $i] :
( ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV350 @ SY2297 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ SY2298 ) @ SY2299 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ SY2298 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV350 @ SY2297 ) @ SY2299 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1532]) ).
thf(2118,plain,
! [SV351: $i] :
( ( ! [SY2300: $i,SY2301: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV351 @ SY2300 ) @ SY2301 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV351 @ SY2300 ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV351 @ ( c_Set_Oinsert @ SY2300 @ SY2301 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1533]) ).
thf(2119,plain,
! [SV352: $i] :
( ( ! [SY2302: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ SV352 ) @ SY2302 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ SV352 ) @ ( c_Message_Oparts @ SY2302 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1534]) ).
thf(2120,plain,
! [SV353: $i] :
( ( ( c_Message_Oparts @ ( c_Message_Oparts @ SV353 ) )
= ( c_Message_Oparts @ SV353 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1537]) ).
thf(2121,plain,
! [SV354: $i] :
( ( ! [SY2303: $i] :
( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ SV354 @ SY2303 @ tc_Message_Omsg ) )
= ( c_Message_Oparts @ SY2303 ) )
| ~ ( hBOOL @ ( c_in @ SV354 @ ( c_Message_Oparts @ SY2303 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1538]) ).
thf(2122,plain,
! [SV355: $i] :
( ( ! [SY2304: $i,SY2305: $i] : ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV355 @ SY2304 @ SY2305 ) @ SV355 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1539]) ).
thf(2123,plain,
! [SV356: $i] :
( ( ( hAPP @ c_Message_OinvKey @ ( hAPP @ c_Message_OinvKey @ SV356 ) )
= SV356 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1540]) ).
thf(2124,plain,
! [SV357: $i] :
( ( ! [SY2306: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ SV357 ) @ SY2306 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ SV357 ) @ ( c_Message_Oparts @ SY2306 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1541]) ).
thf(2125,plain,
! [SV358: $i] :
( ( ! [SY2307: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV358 ) @ SY2307 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV358 ) @ ( c_Message_Oparts @ SY2307 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1543]) ).
thf(2126,plain,
! [SV359: $i] :
( ( ! [SY2308: $i,SY2309: $i] :
( ( hBOOL @ ( c_in @ SV359 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SY2308 @ SY2309 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV359 @ ( c_Message_Oparts @ SY2309 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1545]) ).
thf(2127,plain,
! [SV360: $i] :
( ( ! [SY2310: $i,SY2311: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV360 @ SY2310 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY2311 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY2310 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY2311 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV360 ) ) @ ( c_Message_Oanalz @ SY2311 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV360 ) @ ( c_Message_Oanalz @ SY2311 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1547]) ).
thf(2128,plain,
! [SV361: $i] :
( ( ! [SY2312: $i,SY2313: $i] :
( ( hBOOL @ ( c_in @ SV361 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY2312 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SY2313 @ SV361 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY2312 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SY2313 ) ) @ ( c_Message_Oanalz @ SY2312 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SY2313 ) @ ( c_Message_Oanalz @ SY2312 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1548]) ).
thf(2129,plain,
! [SV362: $i] :
( ( ! [SY2314: $i,SY2315: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ ( c_Public_OpublicKey @ SV362 ) @ SY2314 ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2315 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1549]) ).
thf(2130,plain,
! [SV363: $i] :
( ( ! [SY2316: $i,SY2317: $i,SY2318: $i] :
( ~ ( hBOOL @ ( c_in @ SV363 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2316 ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV363 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SY2317 @ SY2318 ) @ SY2316 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1550]) ).
thf(2131,plain,
! [SV364: $i] :
( ( ! [SY2319: $i,SY2320: $i] :
( ( hBOOL @ ( c_in @ SV364 @ ( c_Event_Oknows @ SY2319 @ SY2320 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OGets @ SY2319 @ SV364 ) @ ( c_List_Oset @ SY2320 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SY2319 = c_Message_Oagent_OSpy ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1551]) ).
thf(2132,plain,
! [SV365: $i] :
( ( ! [SY2321: $i,SY2322: $i,SY2323: $i,SY2324: $i,SY2325: $i,SY2326: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV365 @ SY2321 @ SY2322 ) @ SY2323 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV365 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV365 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2321 ) @ ( c_Message_Omsg_ONonce @ SY2324 ) ) ) ) @ ( c_List_Oset @ SY2323 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY2325 @ SV365 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV365 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY2324 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2321 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2326 ) @ SY2322 ) ) ) ) ) @ ( c_List_Oset @ SY2323 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV365 = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SY2323 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1552]) ).
thf(2133,plain,
! [SV366: $i] :
( ( ! [SY2327: $i,SY2328: $i,SY2329: $i] :
( ( hBOOL @ ( c_in @ SV366 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2327 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY2328 @ SY2329 @ SV366 ) @ ( c_List_Oset @ SY2327 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1553]) ).
thf(2134,plain,
! [SV367: $i] :
( ( ! [SY2330: $i,SY2331: $i,SY2332: $i,SY2333: $i,SY2334: $i,SY2335: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV367 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY2330 ) @ ( hAPP @ c_Message_Omsg_OKey @ SY2331 ) ) ) ) @ SY2332 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY2333 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY2333 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV367 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2334 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2331 ) @ SY2335 ) ) ) ) ) @ ( c_List_Oset @ SY2332 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY2334 @ SY2333 @ ( c_Message_Omsg_OCrypt @ SY2331 @ ( c_Message_Omsg_ONonce @ SY2330 ) ) ) @ ( c_List_Oset @ SY2332 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SY2332 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1554]) ).
thf(2135,plain,
! [SV368: $i] :
( ( ! [SY2336: $i,SY2337: $i] :
( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV368 @ SY2336 ) @ SY2337 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SY2336 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2337 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV368 @ c_Event_Obad @ tc_Message_Oagent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1555]) ).
thf(2136,plain,
! [SV369: $i] :
( ( ! [SY2338: $i,SY2339: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ SV369 @ SY2338 ) @ SY2339 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ SY2338 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2339 ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SY2339 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1556]) ).
thf(2137,plain,
! [SV370: $i] :
( ( ! [SY2340: $i,SY2341: $i,SY2342: $i,SY2343: $i,SY2344: $i,SY2345: $i,SY2346: $i] :
( ( hBOOL @ ( c_in @ SV370 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2340 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY2341 @ SY2342 @ ( c_Message_Omsg_OCrypt @ SY2343 @ ( c_Message_Omsg_OMPair @ SY2344 @ ( c_Message_Omsg_OMPair @ SY2345 @ ( c_Message_Omsg_OMPair @ SY2346 @ SV370 ) ) ) ) ) @ ( c_List_Oset @ SY2340 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1557]) ).
thf(2138,plain,
! [SV371: $i] :
( ( ! [SY2347: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV371 ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2347 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV371 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ SY2347 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1558]) ).
thf(2139,plain,
! [SV372: $i] :
( ( ! [SY2348: $i] :
( ( hBOOL @ ( c_in @ SV372 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV372 ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2348 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY2348 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1559]) ).
thf(2140,plain,
! [SV373: $i] :
( ( ! [SY2349: $i,SY2350: $i,SY2351: $i,SY2352: $i,SY2353: $i] :
( ( hBOOL @ ( c_in @ SV373 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2349 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY2350 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY2350 ) @ ( c_Message_Omsg_OMPair @ SY2351 @ ( c_Message_Omsg_OMPair @ SY2352 @ ( c_Message_Omsg_OMPair @ SV373 @ SY2353 ) ) ) ) ) @ ( c_List_Oset @ SY2349 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1560]) ).
thf(2141,plain,
! [SV374: $i] :
( ( ! [SY2354: $i,SY2355: $i,SY2356: $i,SY2357: $i,SY2358: $i] :
( ( SV374
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY2354 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2355 ) @ ( c_Message_Omsg_OAgent @ SY2356 ) ) ) )
| ~ ( hBOOL @ ( c_in @ SY2357 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SY2356 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY2356 ) @ ( c_Message_Omsg_OMPair @ SY2358 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2354 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2355 ) @ SV374 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2357 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1561]) ).
thf(2142,plain,
! [SV375: $i] :
( ( ! [SY2359: $i,SY2360: $i,SY2361: $i,SY2362: $i,SY2363: $i,SY2364: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV375 @ SY2359 @ SY2360 ) @ SY2361 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV375 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV375 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2359 ) @ ( c_Message_Omsg_ONonce @ SY2362 ) ) ) ) @ ( c_List_Oset @ SY2361 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY2363 @ SV375 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV375 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY2362 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2359 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2364 ) @ SY2360 ) ) ) ) ) @ ( c_List_Oset @ SY2361 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV375 = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_in @ SY2361 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1562]) ).
thf(2143,plain,
! [SV376: $i] :
( ( ! [SY2365: $i,SY2366: $i,SY2367: $i,SY2368: $i,SY2369: $i,SY2370: $i] :
( ( hBOOL @ ( c_in @ SV376 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2365 ) ) @ tc_Message_Omsg ) )
| ( SV376
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY2366 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2367 ) @ ( c_Message_Omsg_OAgent @ SY2368 ) ) ) )
| ~ ( hBOOL @ ( c_in @ SY2365 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY2369 @ SY2368 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY2368 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY2370 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2366 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2367 ) @ SV376 ) ) ) ) ) @ ( c_List_Oset @ SY2365 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1563]) ).
thf(2144,plain,
! [SV377: $i] :
( ( ! [SY2371: $i,SY2372: $i,SY2373: $i,SY2374: $i,SY2375: $i,SY2376: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV377 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY2371 ) @ ( hAPP @ c_Message_Omsg_OKey @ SY2372 ) ) ) ) @ SY2373 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY2374 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY2374 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV377 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2375 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2372 ) @ SY2376 ) ) ) ) ) @ ( c_List_Oset @ SY2373 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY2375 @ SY2374 @ ( c_Message_Omsg_OCrypt @ SY2372 @ ( c_Message_Omsg_ONonce @ SY2371 ) ) ) @ ( c_List_Oset @ SY2373 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SY2373 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1564]) ).
thf(2145,plain,
! [SV378: $i] :
( ( ! [SY2377: $i,SY2378: $i,SY2379: $i,SY2380: $i,SY2381: $i] :
( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV378 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV378 ) @ ( c_Message_Omsg_OMPair @ SY2377 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2378 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2379 ) @ SY2380 ) ) ) ) ) @ ( c_List_Oset @ SY2381 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SY2381 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SV378 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV378 ) @ ( c_Message_Omsg_OMPair @ SY2377 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2378 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2379 ) @ SY2380 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2381 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1565]) ).
thf(2146,plain,
! [SV379: $i] :
( ( ! [SY2382: $i,SY2383: $i,SY2384: $i] :
( ( hBOOL @ ( c_in @ SV379 @ ( c_Event_Oknows @ SY2382 @ SY2383 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY2382 @ SY2384 @ SV379 ) @ ( c_List_Oset @ SY2383 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1567]) ).
thf(2147,plain,
! [SV380: $i] :
( ( ! [SY2385: $i,SY2386: $i] :
( ( hBOOL @ ( c_in @ SV380 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY2385 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SY2386 @ SV380 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY2385 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1568]) ).
thf(2148,plain,
! [SV381: $i] :
( ( ! [SY2387: $i,SY2388: $i] :
( ( hBOOL @ ( c_in @ SV381 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY2387 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV381 @ SY2388 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY2387 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1569]) ).
thf(2149,plain,
! [SV382: $i] :
( ( ( c_Message_Oanalz @ ( c_Message_Oanalz @ SV382 ) )
= ( c_Message_Oanalz @ SV382 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1570]) ).
thf(2150,plain,
! [SV383: $i] :
( ( ! [SY2389: $i,SY2390: $i] :
( ( hBOOL @ ( c_in @ SV383 @ ( c_Message_Oanalz @ SY2389 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SY2390 @ SV383 ) @ ( c_Message_Oanalz @ SY2389 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1571]) ).
thf(2151,plain,
! [SV384: $i] :
( ( ! [SY2391: $i,SY2392: $i] :
( ( hBOOL @ ( c_in @ SV384 @ ( c_Message_Oanalz @ SY2391 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV384 @ SY2392 ) @ ( c_Message_Oanalz @ SY2391 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1572]) ).
thf(2152,plain,
! [SV385: $i] :
( ( ! [SY2393: $i] :
( ( hBOOL @ ( c_in @ SV385 @ ( c_Message_Oanalz @ SY2393 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV385 @ SY2393 @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1579]) ).
thf(2153,plain,
! [SV386: $i] :
( ( ! [SY2394: $i,SY2395: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV386 @ SY2394 ) @ ( c_Message_Osynth @ SY2395 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY2394 @ ( c_Message_Osynth @ SY2395 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV386 @ ( c_Message_Osynth @ SY2395 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1580]) ).
thf(2154,plain,
! [SV387: $i] :
( ( ! [SY2396: $i,SY2397: $i,SY2398: $i] :
( ( hBOOL @ ( c_in @ SV387 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2396 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY2397 @ SY2398 @ SV387 ) @ ( c_List_Oset @ SY2396 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1581]) ).
thf(2155,plain,
! [SV388: $i] :
( ( ! [SY2399: $i,SY2400: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ SV388 @ SY2399 ) @ SY2400 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ SY2399 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2400 ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY2400 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1583]) ).
thf(2156,plain,
! [SV389: $i] :
( ( ! [SY2401: $i,SY2402: $i] :
( ( hBOOL @ ( c_in @ SV389 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2401 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY2402 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SY2402 @ SV389 ) @ ( c_List_Oset @ SY2401 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1587]) ).
thf(2157,plain,
! [SV390: $i] :
( ( ! [SY2403: $i,SY2404: $i,SY2405: $i,SY2406: $i,SY2407: $i,SY2408: $i] :
( ( SV390
= ( hAPP @ c_Public_OshrK @ SY2403 ) )
| ~ ( hBOOL @ ( c_in @ SY2404 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY2403 @ ( c_Message_Omsg_OCrypt @ SV390 @ ( c_Message_Omsg_OMPair @ SY2405 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2406 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2407 ) @ SY2408 ) ) ) ) ) @ ( c_List_Oset @ SY2404 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1589]) ).
thf(2158,plain,
! [SV391: $i] :
( ( ! [SY2409: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV391 ) @ ( c_Message_Osynth @ SY2409 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV391 ) @ SY2409 @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1590]) ).
thf(2159,plain,
! [SV392: $i] :
( ( ! [SY2410: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV392 ) @ SY2410 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV392 ) @ ( c_Message_Osynth @ SY2410 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1591]) ).
thf(2160,plain,
! [SV393: $i] :
( ( ! [SY2411: $i,SY2412: $i] :
( ( hBOOL @ ( c_in @ SV393 @ ( c_Message_Oanalz @ SY2411 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SY2412 ) ) @ ( c_Message_Oanalz @ SY2411 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY2412 ) @ SV393 ) @ ( c_Message_Oanalz @ SY2411 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1592]) ).
thf(2161,plain,
! [SV394: $i] :
( ( ! [SY2413: $i,SY2414: $i,SY2415: $i] :
( ~ ( hBOOL @ ( c_in @ SV394 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2413 ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV394 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SY2414 @ SY2415 ) @ SY2413 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1593]) ).
thf(2162,plain,
! [SV395: $i] :
( ( ! [SY2416: $i,SY2417: $i,SY2418: $i] :
( ( hBOOL @ ( c_in @ SV395 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2416 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY2417 @ SY2418 @ SV395 ) @ ( c_List_Oset @ SY2416 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1595]) ).
thf(2163,plain,
! [SV396: $i] :
( ( ! [SY2419: $i,SY2420: $i] :
( ( hBOOL @ ( c_in @ SV396 @ ( c_Message_Osynth @ SY2419 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SY2420 @ SV396 ) @ SY2419 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SY2420 @ SV396 ) @ ( c_Message_Osynth @ SY2419 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1596]) ).
thf(2164,plain,
! [SV397: $i] :
( ( ! [SY2421: $i,SY2422: $i] :
( ( hBOOL @ ( c_in @ SV397 @ ( c_Message_Osynth @ SY2421 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV397 @ SY2422 ) @ SY2421 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV397 @ SY2422 ) @ ( c_Message_Osynth @ SY2421 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1597]) ).
thf(2165,plain,
! [SV398: $i] :
( ( ! [SY2423: $i,SY2424: $i,SY2425: $i,SY2426: $i,SY2427: $i,SY2428: $i,SY2429: $i,SY2430: $i,SY2431: $i] :
( ( SV398 = SY2423 )
| ~ ( hBOOL @ ( c_in @ SY2424 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY2423 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY2423 ) @ ( c_Message_Omsg_OMPair @ SY2425 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2426 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2427 ) @ SY2428 ) ) ) ) ) @ ( c_List_Oset @ SY2424 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV398 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV398 ) @ ( c_Message_Omsg_OMPair @ SY2429 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2430 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2427 ) @ SY2431 ) ) ) ) ) @ ( c_List_Oset @ SY2424 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1598]) ).
thf(2166,plain,
! [SV399: $i] :
( ( ! [SY2432: $i,SY2433: $i,SY2434: $i,SY2435: $i,SY2436: $i,SY2437: $i,SY2438: $i,SY2439: $i,SY2440: $i] :
( ( SV399 = SY2432 )
| ~ ( hBOOL @ ( c_in @ SY2433 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY2434 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY2434 ) @ ( c_Message_Omsg_OMPair @ SY2432 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2435 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2436 ) @ SY2437 ) ) ) ) ) @ ( c_List_Oset @ SY2433 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY2438 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY2438 ) @ ( c_Message_Omsg_OMPair @ SV399 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2439 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2436 ) @ SY2440 ) ) ) ) ) @ ( c_List_Oset @ SY2433 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1599]) ).
thf(2167,plain,
! [SV400: $i] :
( ( ! [SY2441: $i,SY2442: $i,SY2443: $i,SY2444: $i,SY2445: $i,SY2446: $i,SY2447: $i,SY2448: $i,SY2449: $i] :
( ( SV400 = SY2441 )
| ~ ( hBOOL @ ( c_in @ SY2442 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY2443 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY2443 ) @ ( c_Message_Omsg_OMPair @ SY2444 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2441 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2445 ) @ SY2446 ) ) ) ) ) @ ( c_List_Oset @ SY2442 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY2447 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY2447 ) @ ( c_Message_Omsg_OMPair @ SY2448 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV400 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2445 ) @ SY2449 ) ) ) ) ) @ ( c_List_Oset @ SY2442 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1600]) ).
thf(2168,plain,
! [SV401: $i] :
( ( ! [SY2450: $i,SY2451: $i,SY2452: $i,SY2453: $i,SY2454: $i,SY2455: $i,SY2456: $i,SY2457: $i,SY2458: $i] :
( ( SV401 = SY2450 )
| ~ ( hBOOL @ ( c_in @ SY2451 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY2452 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY2452 ) @ ( c_Message_Omsg_OMPair @ SY2453 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2454 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2455 ) @ SY2450 ) ) ) ) ) @ ( c_List_Oset @ SY2451 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY2456 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY2456 ) @ ( c_Message_Omsg_OMPair @ SY2457 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2458 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2455 ) @ SV401 ) ) ) ) ) @ ( c_List_Oset @ SY2451 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1601]) ).
thf(2169,plain,
! [SV402: $i] :
( ( ! [SY2459: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV402 ) ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2459 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV402 @ c_Event_Obad @ tc_Message_Oagent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1604]) ).
thf(2170,plain,
! [SV403: $i] :
( ( ! [SY2460: $i,SY2461: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV403 @ SY2460 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY2461 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY2460 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY2461 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV403 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY2461 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1605]) ).
thf(2171,plain,
! [SV404: $i] :
( ( ! [SY2462: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV404 ) ) @ ( c_Event_Oknows @ SV404 @ SY2462 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1610]) ).
thf(2172,plain,
! [SV405: $i] :
( ( ! [SY2463: $i] :
( ( hBOOL @ ( c_in @ SV405 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV405 ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2463 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY2463 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1612]) ).
thf(2173,plain,
! [SV406: $i] :
( ( ! [SY2464: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV406 ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2464 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV406 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ SY2464 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1613]) ).
thf(2174,plain,
! [SV407: $i] :
( ( ! [SY2465: $i] :
( ( hBOOL @ ( c_in @ SV407 @ ( c_Message_Oanalz @ SY2465 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV407 @ ( c_Message_Oanalz @ ( c_Message_Oanalz @ SY2465 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1614]) ).
thf(2175,plain,
! [SV408: $i] :
( ( ! [SY2466: $i,SY2467: $i] :
( ( hBOOL @ ( c_in @ SV408 @ SY2466 @ SY2467 ) )
| ~ ( hBOOL @ ( hAPP @ SY2466 @ SV408 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1615]) ).
thf(2176,plain,
! [SV409: $i] :
( ( ! [SY2468: $i,SY2469: $i] :
( ( hBOOL @ ( hAPP @ SV409 @ SY2468 ) )
| ~ ( hBOOL @ ( c_in @ SY2468 @ SV409 @ SY2469 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1616]) ).
thf(2177,plain,
! [SV410: $i] :
( ( ! [SY2470: $i,SY2471: $i,SY2472: $i] :
( ( hBOOL @ ( c_in @ SV410 @ ( c_List_Oset @ SY2470 @ SY2471 ) @ SY2471 ) )
| ( SV410 = SY2472 )
| ~ ( hBOOL @ ( c_in @ SV410 @ ( c_List_Oset @ ( c_List_Olist_OCons @ SY2472 @ SY2470 @ SY2471 ) @ SY2471 ) @ SY2471 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1619]) ).
thf(2178,plain,
! [SV411: $i] :
( ( ! [SY2473: $i,SY2474: $i] :
( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV411 @ SY2473 ) @ SY2474 @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2474 ) )
| ( hBOOL @ ( c_in @ SV411 @ c_Event_Obad @ tc_Message_Oagent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1620]) ).
thf(2179,plain,
! [SV412: $i] :
( ( ! [SY2475: $i,SY2476: $i] :
( ( hBOOL @ ( c_in @ SV412 @ ( c_Event_Oknows @ SY2475 @ SY2476 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SY2475 @ SV412 ) @ ( c_List_Oset @ SY2476 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1621]) ).
thf(2180,plain,
! [SV413: $i] :
( ( ! [SY2477: $i,SY2478: $i] :
( ( hBOOL @ ( c_in @ SV413 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2477 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY2478 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY2478 ) @ SV413 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2477 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1624]) ).
thf(2181,plain,
! [SV414: $i] :
( ( ! [SY2479: $i] : ( hBOOL @ ( c_in @ ( c_Message_Omsg_OAgent @ SV414 ) @ ( c_Message_Osynth @ SY2479 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1625]) ).
thf(2182,plain,
! [SV415: $i] :
( ( ! [SY2480: $i] : ( hBOOL @ ( c_in @ ( c_Message_Omsg_OAgent @ SV415 ) @ ( c_Message_Osynth @ SY2480 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1626]) ).
thf(2183,plain,
! [SV416: $i] :
( ( ! [SY2481: $i] :
( ( hBOOL @ ( c_in @ SV416 @ ( c_Message_Osynth @ SY2481 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV416 @ SY2481 @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1628]) ).
thf(2184,plain,
! [SV417: $i] :
( ( ! [SY2482: $i,SY2483: $i,SY2484: $i,SY2485: $i,SY2486: $i,SY2487: $i] :
( ( SV417
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY2482 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2483 ) @ ( c_Message_Omsg_OAgent @ SY2484 ) ) ) )
| ~ ( hBOOL @ ( c_in @ SY2485 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY2484 @ ( c_Message_Omsg_OCrypt @ SY2486 @ ( c_Message_Omsg_OMPair @ SY2487 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2482 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2483 ) @ SV417 ) ) ) ) ) @ ( c_List_Oset @ SY2485 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1630]) ).
thf(2185,plain,
! [SV418: $i] :
( ( ! [SY2488: $i,SY2489: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV418 @ SY2488 ) @ ( c_Message_Osynth @ SY2489 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV418 @ SY2488 ) @ SY2489 @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV418 ) @ SY2489 @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1632]) ).
thf(2186,plain,
! [SV419: $i] :
( ( ! [SY2490: $i,SY2491: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV419 @ SY2490 ) @ SY2491 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV419 @ SY2490 ) @ ( c_Message_Osynth @ SY2491 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV419 ) @ SY2491 @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1633]) ).
thf(2187,plain,
! [SV420: $i] :
( ( ! [SY2492: $i,SY2493: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV420 ) @ SY2492 @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV420 @ SY2493 ) @ SY2492 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV420 @ SY2493 ) @ ( c_Message_Osynth @ SY2492 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1634]) ).
thf(2188,plain,
! [SV421: $i] :
( ( ! [SY2494: $i] :
( ( hBOOL @ ( c_in @ SV421 @ ( c_Message_Osynth @ SY2494 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV421 @ ( c_Message_Osynth @ ( c_Message_Osynth @ SY2494 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1635]) ).
thf(2189,plain,
! [SV422: $i] :
( ( ( c_Message_Osynth @ ( c_Message_Osynth @ SV422 ) )
= ( c_Message_Osynth @ SV422 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1636]) ).
thf(2190,plain,
! [SV423: $i] :
( ( ! [SY2495: $i,SY2496: $i] :
( ( hBOOL @ ( c_in @ SV423 @ ( c_Message_Osynth @ SY2495 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SY2496 @ SV423 ) @ SY2495 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SY2496 @ SV423 ) @ ( c_Message_Osynth @ SY2495 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1637]) ).
thf(2191,plain,
( ( hBOOL @ ( c_in @ c_Message_Oagent_OServer @ c_Event_Obad @ tc_Message_Oagent ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1638]) ).
thf(2192,plain,
! [SV424: $i] :
( ( ! [SY2497: $i,SY2498: $i,SY2499: $i,SY2500: $i] :
( ~ ( hBOOL @ ( c_in @ SV424 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2497 ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV424 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SY2498 @ SY2499 @ SY2500 ) @ SY2497 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1641]) ).
thf(2193,plain,
! [SV425: $i] :
( ( ! [SY2501: $i,SY2502: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV425 @ SY2501 ) @ ( c_Message_Osynth @ SY2502 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV425 ) @ SY2502 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY2501 @ ( c_Message_Osynth @ SY2502 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1643]) ).
thf(2194,plain,
! [SV426: $i] :
( ( ! [SY2503: $i] :
( ( class_Lattices_Oupper__semilattice @ ( tc_fun @ SV426 @ SY2503 ) )
| ~ ( class_Lattices_Olattice @ SY2503 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1647]) ).
thf(2195,plain,
! [SV427: $i] :
( ( ! [SY2504: $i] :
( ( class_Lattices_Obounded__lattice @ ( tc_fun @ SV427 @ SY2504 ) )
| ~ ( class_Lattices_Obounded__lattice @ SY2504 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1648]) ).
thf(2196,plain,
! [SV428: $i] :
( ( ! [SY2505: $i] :
( ( class_Lattices_Oboolean__algebra @ ( tc_fun @ SV428 @ SY2505 ) )
| ~ ( class_Lattices_Oboolean__algebra @ SY2505 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1649]) ).
thf(2197,plain,
! [SV429: $i] :
( ( ! [SY2506: $i] :
( ( class_Orderings_Opreorder @ ( tc_fun @ SV429 @ SY2506 ) )
| ~ ( class_Orderings_Opreorder @ SY2506 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1650]) ).
thf(2198,plain,
! [SV430: $i] :
( ( ! [SY2507: $i] :
( ( class_Lattices_Olattice @ ( tc_fun @ SV430 @ SY2507 ) )
| ~ ( class_Lattices_Olattice @ SY2507 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1651]) ).
thf(2199,plain,
! [SV431: $i] :
( ( ! [SY2508: $i] :
( ( class_Orderings_Oorder @ ( tc_fun @ SV431 @ SY2508 ) )
| ~ ( class_Orderings_Oorder @ SY2508 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1652]) ).
thf(2200,plain,
! [SV432: $i] :
( ( ! [SY2509: $i] :
( ( class_Orderings_Otop @ ( tc_fun @ SV432 @ SY2509 ) )
| ~ ( class_Orderings_Otop @ SY2509 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1653]) ).
thf(2201,plain,
! [SV433: $i] :
( ( ! [SY2510: $i] :
( ( class_Orderings_Obot @ ( tc_fun @ SV433 @ SY2510 ) )
| ~ ( class_Orderings_Obot @ SY2510 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1654]) ).
thf(2202,plain,
! [SV434: $i] :
( ( ! [SY2511: $i] :
( ( class_HOL_Ouminus @ ( tc_fun @ SV434 @ SY2511 ) )
| ~ ( class_HOL_Ouminus @ SY2511 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1655]) ).
thf(2203,plain,
! [SV435: $i] :
( ( ! [SY2512: $i] :
( ( class_HOL_Oord @ ( tc_fun @ SV435 @ SY2512 ) )
| ~ ( class_HOL_Oord @ SY2512 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1656]) ).
thf(2204,plain,
! [SV436: $i] :
( ( ! [SY2513: $i] : ( c_fequal @ SV436 @ SV436 @ SY2513 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1674]) ).
thf(2205,plain,
! [SV437: $i] :
( ( ! [SY2514: $i,SY2515: $i] :
( ( SV437 = SY2514 )
| ~ ( c_fequal @ SV437 @ SY2514 @ SY2515 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1675]) ).
thf(2206,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[1676]) ).
thf(2207,plain,
! [SV438: $i] :
( ( ! [SY2516: $i] :
( ( ( c_Message_Omsg_OAgent @ SV438 )
!= ( c_Message_Omsg_OAgent @ SY2516 ) )
| ( SV438 = SY2516 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1677]) ).
thf(2208,plain,
! [SV439: $i] :
( ( ! [SY2517: $i] :
( ( hAPP @ c_Message_Omsg_OKey @ SV439 )
!= ( c_Message_Omsg_OAgent @ SY2517 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1678]) ).
thf(2209,plain,
! [SV440: $i] :
( ( ! [SY2518: $i,SY2519: $i,SY2520: $i] :
( ( c_Event_Oevent_OGets @ SV440 @ SY2518 )
!= ( c_Event_Oevent_ONotes @ SY2519 @ SY2520 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1679]) ).
thf(2210,plain,
! [SV441: $i] :
( ( ! [SY2521: $i,SY2522: $i] :
( ( ( c_HOL_Ouminus__class_Ouminus @ SV441 @ ( tc_fun @ SY2521 @ tc_bool ) )
!= ( c_HOL_Ouminus__class_Ouminus @ SY2522 @ ( tc_fun @ SY2521 @ tc_bool ) ) )
| ( SV441 = SY2522 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1680]) ).
thf(2211,plain,
! [SV442: $i] :
( ( ! [SY2523: $i,SY2524: $i,SY2525: $i,SY2526: $i] :
( ( c_Event_Oevent_OSays @ SV442 @ SY2523 @ SY2524 )
!= ( c_Event_Oevent_OGets @ SY2525 @ SY2526 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1681]) ).
thf(2212,plain,
! [SV443: $i] :
( ( ! [SY2527: $i,SY2528: $i] :
( ( c_Message_Omsg_OAgent @ SV443 )
!= ( c_Message_Omsg_OMPair @ SY2527 @ SY2528 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1682]) ).
thf(2213,plain,
! [SV444: $i] :
( ( ! [SY2529: $i,SY2530: $i] :
( ( c_Message_Omsg_OCrypt @ SV444 @ SY2529 )
!= ( c_Message_Omsg_ONonce @ SY2530 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1683]) ).
thf(2214,plain,
! [SV445: $i] :
( ( ! [SY2531: $i] :
( ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ SV445 ) )
!= ( hAPP @ c_Public_OshrK @ SY2531 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1684]) ).
thf(2215,plain,
! [SV446: $i] :
( ( ! [SY2532: $i,SY2533: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV446 @ SY2532 @ ( tc_fun @ SY2533 @ tc_bool ) )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2533 @ tc_bool ) ) )
| ( SY2532
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2533 @ tc_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1685]) ).
thf(2216,plain,
! [SV447: $i] :
( ( ! [SY2534: $i,SY2535: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV447 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SY2534 @ SY2535 @ SV447 )
!= SY2535 )
| ( c_lessequals @ SY2534 @ SY2535 @ SV447 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1686]) ).
thf(2217,plain,
! [SV448: $i] :
( ( ! [SY2536: $i,SY2537: $i,SY2538: $i,SY2539: $i] :
( ( ( c_Set_Oinsert @ SV448 @ ( c_Set_Oinsert @ SY2536 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2537 @ tc_bool ) ) @ SY2537 ) @ SY2537 )
!= ( c_Set_Oinsert @ SY2538 @ ( c_Set_Oinsert @ SY2539 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2537 @ tc_bool ) ) @ SY2537 ) @ SY2537 ) )
| ( SY2536 = SY2538 )
| ( SV448 = SY2538 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1687]) ).
thf(2218,plain,
! [SV449: $i] :
( ( ! [SY2540: $i,SY2541: $i] :
( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV449 @ tc_bool ) )
!= ( c_Set_Oinsert @ SY2540 @ SY2541 @ SV449 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1688]) ).
thf(2219,plain,
( ( c_Message_Oagent_OServer = c_Message_Oagent_OSpy )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1689]) ).
thf(2220,plain,
! [SV450: $i] :
( ( ! [SY2542: $i] :
( ( c_Message_Omsg_OAgent @ SV450 )
!= ( hAPP @ c_Message_Omsg_OKey @ SY2542 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1690]) ).
thf(2221,plain,
! [SV451: $i] :
( ( c_Message_Oagent_OServer
!= ( c_Message_Oagent_OFriend @ SV451 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1691]) ).
thf(2222,plain,
! [SV452: $i] :
( ( ! [SY2543: $i] :
( ( ( c_Message_Omsg_ONonce @ SV452 )
!= ( c_Message_Omsg_ONonce @ SY2543 ) )
| ( SV452 = SY2543 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1692]) ).
thf(2223,plain,
! [SV453: $i] :
( ( ! [SY2544: $i] :
( ( hAPP @ c_Message_Omsg_OKey @ SV453 )
!= ( c_Message_Omsg_ONonce @ SY2544 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1693]) ).
thf(2224,plain,
! [SV454: $i] :
( ( ( c_Message_Oagent_OFriend @ SV454 )
!= c_Message_Oagent_OSpy )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1694]) ).
thf(2225,plain,
! [SV455: $i] :
( ( ! [SY2545: $i,SY2546: $i] :
( ( c_Message_Omsg_OAgent @ SV455 )
!= ( c_Message_Omsg_OCrypt @ SY2545 @ SY2546 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1695]) ).
thf(2226,plain,
! [SV456: $i] :
( ( ! [SY2547: $i,SY2548: $i] :
( ( c_List_Olist_OCons @ SV456 @ SY2547 @ SY2548 )
!= SY2547 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1696]) ).
thf(2227,plain,
! [SV457: $i] :
( ( ! [SY2549: $i] :
( ( c_Message_Omsg_OAgent @ SV457 )
!= ( c_Message_Omsg_ONonce @ SY2549 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1697]) ).
thf(2228,plain,
! [SV458: $i] :
( ( ! [SY2550: $i,SY2551: $i,SY2552: $i] :
( ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV458 ) @ SY2550 ) )
!= ( hAPP @ ( c_Public_OpublicKey @ SY2551 ) @ SY2552 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1698]) ).
thf(2229,plain,
! [SV459: $i] :
( ( ! [SY2553: $i,SY2554: $i,SY2555: $i] :
( ( ( c_Event_Oevent_OGets @ SV459 @ SY2553 )
!= ( c_Event_Oevent_OGets @ SY2554 @ SY2555 ) )
| ( SV459 = SY2554 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1699]) ).
thf(2230,plain,
! [SV460: $i] :
( ( ! [SY2556: $i,SY2557: $i] :
( SV460
!= ( c_List_Olist_OCons @ SY2556 @ SV460 @ SY2557 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1700]) ).
thf(2231,plain,
! [SV461: $i] :
( ( ! [SY2558: $i,SY2559: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV461 @ SY2558 @ ( tc_fun @ SY2559 @ tc_bool ) )
!= SY2558 )
| ( c_lessequals @ SV461 @ SY2558 @ ( tc_fun @ SY2559 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1701]) ).
thf(2232,plain,
! [SV462: $i] :
( ( ! [SY2560: $i,SY2561: $i] :
( ( ( c_Message_Oanalz @ SV462 )
!= ( c_Message_Oanalz @ SY2560 ) )
| ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SY2561 @ SV462 @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ ( c_Set_Oinsert @ SY2561 @ SY2560 @ tc_Message_Omsg ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1702]) ).
thf(2233,plain,
! [SV463: $i] :
( ( ! [SY2562: $i,SY2563: $i,SY2564: $i] :
( ( ( c_Message_Omsg_OCrypt @ SV463 @ SY2562 )
!= ( c_Message_Omsg_OCrypt @ SY2563 @ SY2564 ) )
| ( SV463 = SY2563 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1703]) ).
thf(2234,plain,
! [SV464: $i] :
( ( ! [SY2565: $i] :
( ( c_Message_Omsg_ONonce @ SV464 )
!= ( hAPP @ c_Message_Omsg_OKey @ SY2565 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1704]) ).
thf(2235,plain,
( ( c_Message_Oagent_OSpy = c_Message_Oagent_OServer )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1705]) ).
thf(2236,plain,
! [SV465: $i] :
( ( ! [SY2566: $i,SY2567: $i] :
( ( hAPP @ c_Public_OshrK @ SV465 )
!= ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SY2566 ) @ SY2567 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1706]) ).
thf(2237,plain,
! [SV466: $i] :
( ( ! [SY2568: $i,SY2569: $i,SY2570: $i] :
( ( ( c_Set_Oinsert @ SV466 @ SY2568 @ SY2569 )
!= ( c_Set_Oinsert @ SV466 @ SY2570 @ SY2569 ) )
| ( hBOOL @ ( c_in @ SV466 @ SY2570 @ SY2569 ) )
| ( hBOOL @ ( c_in @ SV466 @ SY2568 @ SY2569 ) )
| ( SY2568 = SY2570 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1707]) ).
thf(2238,plain,
! [SV467: $i] :
( ( ! [SY2571: $i,SY2572: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV467 @ SY2571 @ ( tc_fun @ SY2572 @ tc_bool ) )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2572 @ tc_bool ) ) )
| ( SV467
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2572 @ tc_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1708]) ).
thf(2239,plain,
! [SV468: $i] :
( ( ! [SY2573: $i,SY2574: $i] :
( ( ( c_Set_Oinsert @ SV468 @ SY2573 @ SY2574 )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2574 @ tc_bool ) ) )
| ( hBOOL @ ( c_in @ SV468 @ SY2573 @ SY2574 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1709]) ).
thf(2240,plain,
! [SV469: $i] :
( ( ! [SY2575: $i,SY2576: $i] :
( ( hAPP @ c_Message_Omsg_OKey @ SV469 )
!= ( c_Message_Omsg_OCrypt @ SY2575 @ SY2576 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1710]) ).
thf(2241,plain,
! [SV470: $i] :
( ( ! [SY2577: $i,SY2578: $i,SY2579: $i] :
( ( ( hAPP @ ( c_Public_OpublicKey @ SV470 ) @ SY2577 )
!= ( hAPP @ ( c_Public_OpublicKey @ SY2578 ) @ SY2579 ) )
| ( SY2577 = SY2579 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1711]) ).
thf(2242,plain,
! [SV471: $i] :
( ( ! [SY2580: $i] :
( ( ( hAPP @ c_Public_OshrK @ SV471 )
!= ( hAPP @ c_Public_OshrK @ SY2580 ) )
| ( SV471 = SY2580 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1712]) ).
thf(2243,plain,
! [SV472: $i] :
( ( ! [SY2581: $i,SY2582: $i,SY2583: $i] :
( ( hAPP @ ( c_Public_OpublicKey @ SV472 ) @ SY2581 )
!= ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SY2582 ) @ SY2583 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1713]) ).
thf(2244,plain,
! [SV473: $i] :
( ( ! [SY2584: $i,SY2585: $i,SY2586: $i,SY2587: $i] :
( ( ( c_Set_Oinsert @ SV473 @ ( c_Set_Oinsert @ SY2584 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2585 @ tc_bool ) ) @ SY2585 ) @ SY2585 )
!= ( c_Set_Oinsert @ SY2586 @ ( c_Set_Oinsert @ SY2587 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2585 @ tc_bool ) ) @ SY2585 ) @ SY2585 ) )
| ( SV473 = SY2587 )
| ( SY2584 = SY2587 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1714]) ).
thf(2245,plain,
! [SV474: $i] :
( ( ! [SY2588: $i,SY2589: $i] :
( ~ ( class_Lattices_Obounded__lattice @ SV474 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SY2588 @ SY2589 @ SV474 )
!= ( c_Orderings_Obot__class_Obot @ SV474 ) )
| ( SY2589
= ( c_Orderings_Obot__class_Obot @ SV474 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1715]) ).
thf(2246,plain,
! [SV475: $i] :
( ( ! [SY2590: $i,SY2591: $i,SY2592: $i,SY2593: $i,SY2594: $i] :
( ( ( c_Event_Oevent_OSays @ SV475 @ SY2590 @ SY2591 )
!= ( c_Event_Oevent_OSays @ SY2592 @ SY2593 @ SY2594 ) )
| ( SY2591 = SY2594 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1716]) ).
thf(2247,plain,
! [SV476: $i] :
( ( ! [SY2595: $i,SY2596: $i,SY2597: $i] :
( ( ( hAPP @ ( c_Public_OpublicKey @ SV476 ) @ SY2595 )
!= ( hAPP @ ( c_Public_OpublicKey @ SY2596 ) @ SY2597 ) )
| ( SV476 = SY2596 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1717]) ).
thf(2248,plain,
! [SV477: $i] :
( ( ! [SY2598: $i,SY2599: $i,SY2600: $i,SY2601: $i] :
( ( ( c_List_Olist_OCons @ SV477 @ SY2598 @ SY2599 )
!= ( c_List_Olist_OCons @ SY2600 @ SY2601 @ SY2599 ) )
| ( SV477 = SY2600 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1718]) ).
thf(2249,plain,
! [SV478: $i] :
( ( ! [SY2602: $i,SY2603: $i] :
( ( hAPP @ ( c_Public_OpublicKey @ SV478 ) @ SY2602 )
!= ( hAPP @ c_Public_OshrK @ SY2603 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1719]) ).
thf(2250,plain,
! [SV479: $i] :
( ( ! [SY2604: $i,SY2605: $i,SY2606: $i] :
( ( ( c_Message_Oanalz @ SV479 )
!= ( c_Message_Oanalz @ SY2604 ) )
| ( ( c_Message_Oanalz @ SY2605 )
!= ( c_Message_Oanalz @ SY2606 ) )
| ( ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2605 @ SV479 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2606 @ SY2604 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1720]) ).
thf(2251,plain,
! [SV480: $i] :
( ( ! [SY2607: $i,SY2608: $i,SY2609: $i] :
( ( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV480 @ tc_bool ) )
!= ( c_Set_Oimage @ SY2607 @ SY2608 @ SY2609 @ SV480 ) )
| ( SY2608
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2609 @ tc_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1721]) ).
thf(2252,plain,
( ( c_Public_Okeymode_OEncryption = c_Public_Okeymode_OSignature )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1722]) ).
thf(2253,plain,
! [SV481: $i] :
( ( ! [SY2610: $i,SY2611: $i] :
( ( c_Message_Omsg_OMPair @ SV481 @ SY2610 )
!= ( c_Message_Omsg_OAgent @ SY2611 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1723]) ).
thf(2254,plain,
! [SV482: $i] :
( ( c_Message_Oagent_OSpy
!= ( c_Message_Oagent_OFriend @ SV482 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1724]) ).
thf(2255,plain,
! [SV483: $i] :
( ( ! [SY2612: $i,SY2613: $i,SY2614: $i,SY2615: $i] :
( ( ( c_Set_Oinsert @ SV483 @ ( c_Set_Oinsert @ SY2612 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2613 @ tc_bool ) ) @ SY2613 ) @ SY2613 )
!= ( c_Set_Oinsert @ SY2614 @ ( c_Set_Oinsert @ SY2615 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2613 @ tc_bool ) ) @ SY2613 ) @ SY2613 ) )
| ( SV483 = SY2615 )
| ( SV483 = SY2614 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1725]) ).
thf(2256,plain,
! [SV484: $i] :
( ( ! [SY2616: $i,SY2617: $i] :
( ~ ( class_OrderedGroup_Ogroup__add @ SV484 )
| ( ( c_HOL_Ouminus__class_Ouminus @ SY2616 @ SV484 )
!= ( c_HOL_Ouminus__class_Ouminus @ SY2617 @ SV484 ) )
| ( SY2616 = SY2617 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1726]) ).
thf(2257,plain,
! [SV485: $i] :
( ( ! [SY2618: $i,SY2619: $i,SY2620: $i] :
( ( c_Event_Oevent_ONotes @ SV485 @ SY2618 )
!= ( c_Event_Oevent_OGets @ SY2619 @ SY2620 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1727]) ).
thf(2258,plain,
! [SV486: $i] :
( ( ! [SY2621: $i,SY2622: $i] :
( ( c_Set_Oinsert @ SV486 @ SY2621 @ SY2622 )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2622 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1728]) ).
thf(2259,plain,
( ( c_Public_Okeymode_OSignature = c_Public_Okeymode_OEncryption )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1729]) ).
thf(2260,plain,
! [SV487: $i] :
( ( ! [SY2623: $i,SY2624: $i,SY2625: $i] :
( ( c_Message_Omsg_OCrypt @ SV487 @ SY2623 )
!= ( c_Message_Omsg_OMPair @ SY2624 @ SY2625 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1730]) ).
thf(2261,plain,
! [SV488: $i] :
( ( ! [SY2626: $i] :
( ( c_Message_Omsg_ONonce @ SV488 )
!= ( c_Message_Omsg_OAgent @ SY2626 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1731]) ).
thf(2262,plain,
! [SV489: $i] :
( ( ! [SY2627: $i] :
( ( ( hAPP @ c_Message_OinvKey @ SV489 )
!= ( hAPP @ c_Message_OinvKey @ SY2627 ) )
| ( SV489 = SY2627 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1732]) ).
thf(2263,plain,
! [SV490: $i] :
( ( ! [SY2628: $i,SY2629: $i,SY2630: $i] :
( ( ( c_Event_Oevent_OGets @ SV490 @ SY2628 )
!= ( c_Event_Oevent_OGets @ SY2629 @ SY2630 ) )
| ( SY2628 = SY2630 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1733]) ).
thf(2264,plain,
! [SV491: $i] :
( ( ! [SY2631: $i,SY2632: $i,SY2633: $i] :
( ( ( c_Event_Oevent_ONotes @ SV491 @ SY2631 )
!= ( c_Event_Oevent_ONotes @ SY2632 @ SY2633 ) )
| ( SV491 = SY2632 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1734]) ).
thf(2265,plain,
! [SV492: $i] :
( ( ! [SY2634: $i,SY2635: $i] :
( ~ ( class_Lattices_Oboolean__algebra @ SV492 )
| ( ( c_HOL_Ouminus__class_Ouminus @ SY2634 @ SV492 )
!= ( c_HOL_Ouminus__class_Ouminus @ SY2635 @ SV492 ) )
| ( SY2634 = SY2635 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1735]) ).
thf(2266,plain,
! [SV493: $i] :
( ( ! [SY2636: $i,SY2637: $i,SY2638: $i,SY2639: $i] :
( ( c_Event_Oevent_OSays @ SV493 @ SY2636 @ SY2637 )
!= ( c_Event_Oevent_ONotes @ SY2638 @ SY2639 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1736]) ).
thf(2267,plain,
! [SV494: $i] :
( ( ! [SY2640: $i,SY2641: $i,SY2642: $i] :
( ( ( c_Message_Omsg_OMPair @ SV494 @ SY2640 )
!= ( c_Message_Omsg_OMPair @ SY2641 @ SY2642 ) )
| ( SV494 = SY2641 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1737]) ).
thf(2268,plain,
! [SV495: $i] :
( ( ! [SY2643: $i,SY2644: $i] :
( ( c_Message_Omsg_OMPair @ SV495 @ SY2643 )
!= ( c_Message_Omsg_ONonce @ SY2644 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1738]) ).
thf(2269,plain,
! [SV496: $i] :
( ( ! [SY2645: $i,SY2646: $i] :
( ( hAPP @ c_Message_Omsg_OKey @ SV496 )
!= ( c_Message_Omsg_OMPair @ SY2645 @ SY2646 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1739]) ).
thf(2270,plain,
! [SV497: $i] :
( ( ! [SY2647: $i,SY2648: $i,SY2649: $i,SY2650: $i] :
( ( ( c_List_Olist_OCons @ SV497 @ SY2647 @ SY2648 )
!= ( c_List_Olist_OCons @ SY2649 @ SY2650 @ SY2648 ) )
| ( SY2647 = SY2650 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1740]) ).
thf(2271,plain,
! [SV498: $i] :
( ( ! [SY2651: $i,SY2652: $i,SY2653: $i] :
( ( c_Message_Omsg_OMPair @ SV498 @ SY2651 )
!= ( c_Message_Omsg_OCrypt @ SY2652 @ SY2653 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1741]) ).
thf(2272,plain,
! [SV499: $i] :
( ( ! [SY2654: $i,SY2655: $i] :
( ( c_Message_Omsg_OMPair @ SV499 @ SY2654 )
!= ( hAPP @ c_Message_Omsg_OKey @ SY2655 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1742]) ).
thf(2273,plain,
! [SV500: $i] :
( ( ! [SY2656: $i,SY2657: $i,SY2658: $i,SY2659: $i,SY2660: $i] :
( ( ( c_Event_Oevent_OSays @ SV500 @ SY2656 @ SY2657 )
!= ( c_Event_Oevent_OSays @ SY2658 @ SY2659 @ SY2660 ) )
| ( SV500 = SY2658 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1743]) ).
thf(2274,plain,
! [SV501: $i] :
( ( ! [SY2661: $i,SY2662: $i,SY2663: $i] :
( ( ( c_Message_Omsg_OCrypt @ SV501 @ SY2661 )
!= ( c_Message_Omsg_OCrypt @ SY2662 @ SY2663 ) )
| ( SY2661 = SY2663 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1744]) ).
thf(2275,plain,
! [SV502: $i] :
( ( ! [SY2664: $i] :
( ( ( hAPP @ c_Message_Omsg_OKey @ SV502 )
!= ( hAPP @ c_Message_Omsg_OKey @ SY2664 ) )
| ( SV502 = SY2664 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1745]) ).
thf(2276,plain,
! [SV503: $i] :
( ( ( c_Message_Oagent_OFriend @ SV503 )
!= c_Message_Oagent_OServer )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1746]) ).
thf(2277,plain,
! [SV504: $i] :
( ( ! [SY2665: $i,SY2666: $i,SY2667: $i,SY2668: $i] :
( ( ( c_Set_Oinsert @ SV504 @ ( c_Set_Oinsert @ SY2665 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2666 @ tc_bool ) ) @ SY2666 ) @ SY2666 )
!= ( c_Set_Oinsert @ SY2667 @ ( c_Set_Oinsert @ SY2668 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2666 @ tc_bool ) ) @ SY2666 ) @ SY2666 ) )
| ( SY2665 = SY2667 )
| ( SY2665 = SY2668 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1747]) ).
thf(2278,plain,
! [SV505: $i] :
( ( ! [SY2669: $i,SY2670: $i,SY2671: $i,SY2672: $i] :
( ( c_Event_Oevent_ONotes @ SV505 @ SY2669 )
!= ( c_Event_Oevent_OSays @ SY2670 @ SY2671 @ SY2672 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1748]) ).
thf(2279,plain,
! [SV506: $i] :
( ( ! [SY2673: $i,SY2674: $i,SY2675: $i] :
( ( ( c_Set_Oimage @ SV506 @ SY2673 @ SY2674 @ SY2675 )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2675 @ tc_bool ) ) )
| ( SY2673
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2674 @ tc_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1749]) ).
thf(2280,plain,
! [SV507: $i] :
( ( ! [SY2676: $i,SY2677: $i] :
( ( c_Message_Omsg_OCrypt @ SV507 @ SY2676 )
!= ( c_Message_Omsg_OAgent @ SY2677 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1750]) ).
thf(2281,plain,
! [SV508: $i] :
( ( ! [SY2678: $i] :
( ( ( c_Message_Oagent_OFriend @ SV508 )
!= ( c_Message_Oagent_OFriend @ SY2678 ) )
| ( SV508 = SY2678 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1751]) ).
thf(2282,plain,
! [SV509: $i] :
( ( ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SV509 @ tc_bool ) )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV509 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1752]) ).
thf(2283,plain,
! [SV510: $i] :
( ( ! [SY2679: $i,SY2680: $i] :
( ( c_Message_Omsg_ONonce @ SV510 )
!= ( c_Message_Omsg_OMPair @ SY2679 @ SY2680 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1753]) ).
thf(2284,plain,
! [SV511: $i] :
( ( ! [SY2681: $i,SY2682: $i] :
( ( hAPP @ c_Public_OshrK @ SV511 )
!= ( hAPP @ ( c_Public_OpublicKey @ SY2681 ) @ SY2682 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1754]) ).
thf(2285,plain,
! [SV512: $i] :
( ( ! [SY2683: $i,SY2684: $i] :
( ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV512 ) @ SY2683 ) )
!= ( hAPP @ c_Public_OshrK @ SY2684 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1755]) ).
thf(2286,plain,
! [SV513: $i] :
( ( ! [SY2685: $i,SY2686: $i,SY2687: $i,SY2688: $i,SY2689: $i] :
( ( ( c_Event_Oevent_OSays @ SV513 @ SY2685 @ SY2686 )
!= ( c_Event_Oevent_OSays @ SY2687 @ SY2688 @ SY2689 ) )
| ( SY2685 = SY2688 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1756]) ).
thf(2287,plain,
! [SV514: $i] :
( ( ! [SY2690: $i,SY2691: $i] :
( ( c_Message_Omsg_ONonce @ SV514 )
!= ( c_Message_Omsg_OCrypt @ SY2690 @ SY2691 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1757]) ).
thf(2288,plain,
! [SV515: $i] :
( ( ! [SY2692: $i,SY2693: $i] :
( ( ( c_Set_Oinsert @ SV515 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2692 @ tc_bool ) ) @ SY2692 )
!= ( c_Set_Oinsert @ SY2693 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2692 @ tc_bool ) ) @ SY2692 ) )
| ( SV515 = SY2693 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1758]) ).
thf(2289,plain,
! [SV516: $i] :
( ( ! [SY2694: $i,SY2695: $i] :
( ~ ( class_Lattices_Obounded__lattice @ SV516 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SY2694 @ SY2695 @ SV516 )
!= ( c_Orderings_Obot__class_Obot @ SV516 ) )
| ( SY2694
= ( c_Orderings_Obot__class_Obot @ SV516 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1759]) ).
thf(2290,plain,
! [SV517: $i] :
( ( ! [SY2696: $i,SY2697: $i,SY2698: $i] :
( ( ( c_Message_Omsg_OMPair @ SV517 @ SY2696 )
!= ( c_Message_Omsg_OMPair @ SY2697 @ SY2698 ) )
| ( SY2696 = SY2698 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1760]) ).
thf(2291,plain,
! [SV518: $i] :
( ( ! [SY2699: $i,SY2700: $i] :
( ( c_Message_Omsg_OCrypt @ SV518 @ SY2699 )
!= ( hAPP @ c_Message_Omsg_OKey @ SY2700 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1761]) ).
thf(2292,plain,
! [SV519: $i] :
( ( ! [SY2701: $i,SY2702: $i,SY2703: $i,SY2704: $i] :
( ( c_Event_Oevent_OGets @ SV519 @ SY2701 )
!= ( c_Event_Oevent_OSays @ SY2702 @ SY2703 @ SY2704 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1762]) ).
thf(2293,plain,
! [SV520: $i] :
( ( ! [SY2705: $i,SY2706: $i,SY2707: $i] :
( ( ( c_Event_Oevent_ONotes @ SV520 @ SY2705 )
!= ( c_Event_Oevent_ONotes @ SY2706 @ SY2707 ) )
| ( SY2705 = SY2707 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1763]) ).
thf(2294,plain,
! [SV1: $i] :
( ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ SV1 @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) ) ) ) @ ( c_List_Oset @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ v_Ba @ v_X ) @ v_evsf @ tc_Event_Oevent ) @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1766]) ).
thf(2295,plain,
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ v_x @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) ) ) ) @ ( c_List_Oset @ v_evsf @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ v_A ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Omsg_OAgent @ v_A ) ) ) ) ) ) ) ) @ ( c_List_Oset @ v_evsf @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1767]) ).
thf(2296,plain,
! [SV521: $i,SV2: $i] :
( ( ! [SY2708: $i] :
( ( hBOOL @ ( c_in @ SV2 @ ( c_Event_Oused @ SV521 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV2 @ ( c_Message_Oparts @ ( c_Event_OinitState @ SY2708 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1768]) ).
thf(2297,plain,
! [SV522: $i,SV3: $i] :
( ( ! [SY2709: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ ( c_Public_OpublicKey @ SV3 ) @ SV522 ) ) @ ( c_Event_OinitState @ SY2709 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1769]) ).
thf(2298,plain,
! [SV523: $i,SV5: $i] :
( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV5 ) @ ( c_Message_Oparts @ ( c_Event_OinitState @ SV523 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1771]) ).
thf(2299,plain,
! [SV524: $i,SV6: $i] :
( ( ! [SY2710: $i] :
~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV6 @ SV524 ) @ ( c_Message_Oparts @ ( c_Event_OinitState @ SY2710 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1772]) ).
thf(2300,plain,
( ( ( class_HOL_Ouminus @ t_b )
= $false )
| ( ( ( hAPP @ ( c_HOL_Ouminus__class_Ouminus @ v_A @ ( tc_fun @ t_a @ t_b ) ) @ v_x )
= ( c_HOL_Ouminus__class_Ouminus @ ( hAPP @ v_A @ v_x ) @ t_b ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1773]) ).
thf(2301,plain,
! [SV525: $i,SV7: $i] :
( ( ! [SY2711: $i] :
( ~ ( hBOOL @ ( c_in @ SV7 @ SV525 @ SY2711 ) )
| ~ ( hBOOL @ ( c_in @ SV7 @ ( c_HOL_Ouminus__class_Ouminus @ SV525 @ ( tc_fun @ SY2711 @ tc_bool ) ) @ SY2711 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1774]) ).
thf(2302,plain,
! [SV526: $i,SV8: $i] :
( ( ! [SY2712: $i] :
( ( hBOOL @ ( c_in @ SV8 @ ( c_HOL_Ouminus__class_Ouminus @ SV526 @ ( tc_fun @ SY2712 @ tc_bool ) ) @ SY2712 ) )
| ( hBOOL @ ( c_in @ SV8 @ SV526 @ SY2712 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1775]) ).
thf(2303,plain,
! [SV527: $i,SV9: $i] :
( ( ! [SY2713: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV9 )
| ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV527 @ SV9 ) @ SY2713 @ SV9 )
| ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SY2713 @ SV9 ) @ SV527 @ SV9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1776]) ).
thf(2304,plain,
! [SV528: $i,SV10: $i] :
( ( ! [SY2714: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV10 )
| ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV528 @ SV10 ) @ SY2714 @ SV10 )
| ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SY2714 @ SV10 ) @ SV528 @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1777]) ).
thf(2305,plain,
! [SV529: $i,SV11: $i] :
( ( ! [SY2715: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV11 )
| ( c_lessequals @ SV529 @ ( c_HOL_Ouminus__class_Ouminus @ SY2715 @ SV11 ) @ SV11 )
| ~ ( c_lessequals @ SY2715 @ ( c_HOL_Ouminus__class_Ouminus @ SV529 @ SV11 ) @ SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1778]) ).
thf(2306,plain,
! [SV530: $i,SV12: $i] :
( ( ! [SY2716: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV12 )
| ( c_lessequals @ SV530 @ ( c_HOL_Ouminus__class_Ouminus @ SY2716 @ SV12 ) @ SV12 )
| ~ ( c_lessequals @ SY2716 @ ( c_HOL_Ouminus__class_Ouminus @ SV530 @ SV12 ) @ SV12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1779]) ).
thf(2307,plain,
! [SV531: $i,SV13: $i] :
( ( ~ ( class_OrderedGroup_Ogroup__add @ SV13 )
| ( ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ SV531 @ SV13 ) @ SV13 )
= SV531 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1780]) ).
thf(2308,plain,
! [SV532: $i,SV14: $i] :
( ( ~ ( class_OrderedGroup_Ogroup__add @ SV14 )
| ( SV532
= ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ SV532 @ SV14 ) @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1781]) ).
thf(2309,plain,
! [SV533: $i,SV15: $i] :
( ( ~ ( class_OrderedGroup_Ogroup__add @ SV15 )
| ( SV533
= ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ SV533 @ SV15 ) @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1782]) ).
thf(2310,plain,
! [SV534: $i,SV16: $i] :
( ( ~ ( class_Lattices_Oboolean__algebra @ SV16 )
| ( ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ SV534 @ SV16 ) @ SV16 )
= SV534 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1783]) ).
thf(2311,plain,
! [SV535: $i,SV17: $i] :
( ( ~ ( class_OrderedGroup_Ogroup__add @ SV17 )
| ( ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ SV535 @ SV17 ) @ SV17 )
= SV535 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1784]) ).
thf(2312,plain,
! [SV536: $i,SV18: $i] :
( ( ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ SV18 @ ( tc_fun @ SV536 @ tc_bool ) ) @ ( tc_fun @ SV536 @ tc_bool ) )
= SV18 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1785]) ).
thf(2313,plain,
! [SV537: $i,SV19: $i] :
( ( ( c_lessequals @ ( c_Message_OkeysFor @ SV19 ) @ ( c_Message_OkeysFor @ SV537 ) @ ( tc_fun @ tc_nat @ tc_bool ) )
| ~ ( c_lessequals @ SV19 @ SV537 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1786]) ).
thf(2314,plain,
! [SV538: $i,SV20: $i] :
( ( ~ ( class_Lattices_Oboolean__algebra @ SV20 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV538 @ ( c_HOL_Ouminus__class_Ouminus @ SV538 @ SV20 ) @ SV20 )
= ( c_Orderings_Otop__class_Otop @ SV20 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1787]) ).
thf(2315,plain,
! [SV539: $i,SV21: $i] :
( ( ~ ( class_Lattices_Oboolean__algebra @ SV21 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_HOL_Ouminus__class_Ouminus @ SV539 @ SV21 ) @ SV539 @ SV21 )
= ( c_Orderings_Otop__class_Otop @ SV21 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1788]) ).
thf(2316,plain,
! [SV540: $i,SV22: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV22 @ ( c_HOL_Ouminus__class_Ouminus @ SV22 @ ( tc_fun @ SV540 @ tc_bool ) ) @ ( tc_fun @ SV540 @ tc_bool ) )
= ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SV540 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1789]) ).
thf(2317,plain,
! [SV541: $i,SV23: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_HOL_Ouminus__class_Ouminus @ SV23 @ ( tc_fun @ SV541 @ tc_bool ) ) @ SV23 @ ( tc_fun @ SV541 @ tc_bool ) )
= ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SV541 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1790]) ).
thf(2318,plain,
! [SV542: $i,SV25: $i] :
( ( ( hBOOL @ ( hAPP @ SV25 @ SV542 ) )
| ~ ( hBOOL @ ( hAPP @ SV25 @ c_Public_Okeymode_OEncryption ) )
| ~ ( hBOOL @ ( hAPP @ SV25 @ c_Public_Okeymode_OSignature ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1792]) ).
thf(2319,plain,
! [SV543: $i,SV26: $i] :
( ( ! [SY2717: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV26 )
| ( c_lessequals @ SV543 @ SY2717 @ SV26 )
| ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SY2717 @ SV26 ) @ ( c_HOL_Ouminus__class_Ouminus @ SV543 @ SV26 ) @ SV26 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1793]) ).
thf(2320,plain,
! [SV544: $i,SV27: $i] :
( ( ! [SY2718: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV27 )
| ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV544 @ SV27 ) @ ( c_HOL_Ouminus__class_Ouminus @ SY2718 @ SV27 ) @ SV27 )
| ~ ( c_lessequals @ SY2718 @ SV544 @ SV27 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1794]) ).
thf(2321,plain,
! [SV545: $i,SV28: $i] :
( ( ! [SY2719: $i] :
( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV28 @ ( tc_fun @ SV545 @ tc_bool ) ) @ ( c_HOL_Ouminus__class_Ouminus @ SY2719 @ ( tc_fun @ SV545 @ tc_bool ) ) @ ( tc_fun @ SV545 @ tc_bool ) )
| ~ ( c_lessequals @ SY2719 @ SV28 @ ( tc_fun @ SV545 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1795]) ).
thf(2322,plain,
! [SV546: $i,SV29: $i] :
( ( ! [SY2720: $i] :
( ( c_lessequals @ SV29 @ SV546 @ ( tc_fun @ SY2720 @ tc_bool ) )
| ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV546 @ ( tc_fun @ SY2720 @ tc_bool ) ) @ ( c_HOL_Ouminus__class_Ouminus @ SV29 @ ( tc_fun @ SY2720 @ tc_bool ) ) @ ( tc_fun @ SY2720 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1796]) ).
thf(2323,plain,
! [SV547: $i,SV30: $i] :
( ( ! [SY2721: $i] :
( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV30 @ ( tc_fun @ SV547 @ tc_bool ) ) @ ( c_HOL_Ouminus__class_Ouminus @ SY2721 @ ( tc_fun @ SV547 @ tc_bool ) ) @ ( tc_fun @ SV547 @ tc_bool ) )
| ~ ( c_lessequals @ SY2721 @ SV30 @ ( tc_fun @ SV547 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1797]) ).
thf(2324,plain,
! [SV548: $i,SV31: $i] :
( ( c_lessequals @ ( c_Event_OinitState @ SV31 ) @ ( c_Event_Oknows @ SV31 @ SV548 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1798]) ).
thf(2325,plain,
! [SV33: $i] :
( ( ( ~ ( class_Lattices_Oboolean__algebra @ SV33 ) )
= $true )
| ( ( ( c_HOL_Ouminus__class_Ouminus @ ( c_Orderings_Otop__class_Otop @ SV33 ) @ SV33 )
= ( c_Orderings_Obot__class_Obot @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1800]) ).
thf(2326,plain,
! [SV549: $i,SV35: $i] :
( ( ~ ( class_HOL_Ouminus @ SV35 )
| ( ( hAPP @ ( c_HOL_Ouminus__class_Ouminus @ SV549 @ ( tc_fun @ t_a @ SV35 ) ) @ v_x )
= ( c_HOL_Ouminus__class_Ouminus @ ( hAPP @ SV549 @ v_x ) @ SV35 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1802]) ).
thf(2327,plain,
! [SV36: $i] :
( ( ( ~ ( class_Lattices_Oboolean__algebra @ SV36 ) )
= $true )
| ( ( ( c_HOL_Ouminus__class_Ouminus @ ( c_Orderings_Obot__class_Obot @ SV36 ) @ SV36 )
= ( c_Orderings_Otop__class_Otop @ SV36 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1803]) ).
thf(2328,plain,
! [SV550: $i,SV38: $i] :
( ( ( SV38
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV550 @ tc_bool ) ) )
| ~ ( c_lessequals @ SV38 @ ( c_HOL_Ouminus__class_Ouminus @ SV38 @ ( tc_fun @ SV550 @ tc_bool ) ) @ ( tc_fun @ SV550 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1805]) ).
thf(2329,plain,
! [SV551: $i,SV39: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV39 ) @ SV551 ) ) ) @ ( c_Event_OinitState @ SV551 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1806]) ).
thf(2330,plain,
! [SV552: $i,SV40: $i] :
( ( ! [SY2722: $i] :
( ( hBOOL @ ( c_in @ SV40 @ ( c_Event_OinitState @ SV552 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SV552 @ SV40 ) @ ( c_List_Oset @ SY2722 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_OGets @ SV552 @ SV40 ) @ ( c_List_Oset @ SY2722 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV552 @ ( c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1 @ SV552 @ SV40 @ SY2722 ) @ SV40 ) @ ( c_List_Oset @ SY2722 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV552 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( c_in @ SV40 @ ( c_Event_Oknows @ SV552 @ SY2722 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1807]) ).
thf(2331,plain,
! [SV553: $i,SV41: $i] :
( ( ! [SY2723: $i,SY2724: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV41 ) @ SV553 ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SY2723 ) @ SY2724 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1808]) ).
thf(2332,plain,
! [SV554: $i,SV42: $i] :
( ( ! [SY2725: $i,SY2726: $i] :
( ( SV42 = SV554 )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV42 ) @ SY2725 ) ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV554 ) @ SY2726 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1809]) ).
thf(2333,plain,
! [SV555: $i,SV43: $i] :
( ( ! [SY2727: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV43 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV555 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2727 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV43 @ SV555 @ tc_nat ) )
| ~ ( c_lessequals @ SV555 @ ( c_HOL_Ouminus__class_Ouminus @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ ( tc_fun @ tc_nat @ tc_bool ) ) @ ( tc_fun @ tc_nat @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SY2727 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1810]) ).
thf(2334,plain,
! [SV556: $i,SV44: $i] :
( ( ! [SY2728: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV44 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV556 ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV44 @ SY2728 @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV44 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SY2728 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV556 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SY2728 @ ( c_HOL_Ouminus__class_Ouminus @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ ( tc_fun @ tc_nat @ tc_bool ) ) @ ( tc_fun @ tc_nat @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV556 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1811]) ).
thf(2335,plain,
! [SV557: $i,SV45: $i] :
( ( ! [SY2729: $i] :
( ( hBOOL @ ( c_in @ SV45 @ ( c_Message_OkeysFor @ SV557 ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV45 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV45 @ SY2729 ) @ SV557 @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1812]) ).
thf(2336,plain,
! [SV558: $i,SV46: $i] :
( ( ! [SY2730: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ SV46 @ ( c_Event_Oknows @ SV558 @ SY2730 ) @ tc_Message_Omsg ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV46 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ SV558 @ SY2730 ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1813]) ).
thf(2337,plain,
! [SV559: $i,SV47: $i] :
( ( ! [SY2731: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ SV47 ) @ ( c_Message_OkeysFor @ SV559 ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV47 @ SY2731 ) @ SV559 @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1814]) ).
thf(2338,plain,
! [SV560: $i,SV48: $i] :
( ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV48 ) @ SV560 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV48 ) @ ( c_Message_Oanalz @ SV560 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV48 @ ( c_Message_OkeysFor @ ( c_Message_Oanalz @ SV560 ) ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1815]) ).
thf(2339,plain,
! [SV561: $i,SV49: $i] :
( ( ! [SY2732: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV49 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV561 @ tc_nat @ tc_Message_Omsg ) @ SY2732 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV49 ) @ ( c_Message_Oanalz @ SY2732 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV49 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV561 @ tc_nat @ tc_Message_Omsg ) @ SY2732 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1816]) ).
thf(2340,plain,
! [SV562: $i,SV50: $i] :
( ( ! [SY2733: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV50 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV562 @ tc_nat @ tc_Message_Omsg ) @ SY2733 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV50 ) @ ( c_Message_Oanalz @ SY2733 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV50 ) @ ( c_Message_Oanalz @ SY2733 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1817]) ).
thf(2341,plain,
! [SV563: $i,SV51: $i] :
( ( ! [SY2734: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV51 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV563 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2734 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV51 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2734 ) ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SV563 @ ( c_HOL_Ouminus__class_Ouminus @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ ( tc_fun @ tc_nat @ tc_bool ) ) @ ( tc_fun @ tc_nat @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SY2734 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1818]) ).
thf(2342,plain,
! [SV564: $i,SV52: $i] :
( ( ( c_Message_OkeysFor @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ SV52 ) @ SV564 @ tc_Message_Omsg ) )
= ( c_Message_OkeysFor @ SV564 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1819]) ).
thf(2343,plain,
! [SV565: $i,SV53: $i] :
( ( ( c_Message_OkeysFor @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ SV53 ) @ SV565 @ tc_Message_Omsg ) )
= ( c_Message_OkeysFor @ SV565 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1820]) ).
thf(2344,plain,
! [SV566: $i,SV54: $i] :
( ( ( c_Message_OkeysFor @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV54 ) @ SV566 @ tc_Message_Omsg ) )
= ( c_Message_OkeysFor @ SV566 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1821]) ).
thf(2345,plain,
! [SV567: $i,SV57: $i] :
( ( ! [SY2735: $i] :
( ( c_Message_OkeysFor @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV57 @ SV567 ) @ SY2735 @ tc_Message_Omsg ) )
= ( c_Message_OkeysFor @ SY2735 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1824]) ).
thf(2346,plain,
! [SV58: $i] :
( ( hBOOL @ ( c_in @ SV58 @ ( c_Message_Oparts @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1825]) ).
thf(2347,plain,
! [SV568: $i,SV59: $i] :
( ( hBOOL @ ( c_in @ SV59 @ ( c_Set_Oinsert @ SV59 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV568 @ tc_bool ) ) @ SV568 ) @ SV568 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1826]) ).
thf(2348,plain,
! [SV569: $i,SV60: $i] :
( ( ! [SY2736: $i] :
( ( SV60 = SV569 )
| ~ ( hBOOL @ ( c_in @ SV60 @ ( c_Set_Oinsert @ SV569 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2736 @ tc_bool ) ) @ SY2736 ) @ SY2736 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1827]) ).
thf(2349,plain,
! [SV570: $i,SV62: $i] :
( ( ! [SY2737: $i] :
( ( SV62
= ( c_Set_Oinsert @ SV570 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2737 @ tc_bool ) ) @ SY2737 ) )
| ( SV62
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2737 @ tc_bool ) ) )
| ~ ( c_lessequals @ SV62 @ ( c_Set_Oinsert @ SV570 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2737 @ tc_bool ) ) @ SY2737 ) @ ( tc_fun @ SY2737 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1829]) ).
thf(2350,plain,
! [SV571: $i,SV64: $i] :
( ( ( SV64
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV571 @ tc_bool ) ) )
| ~ ( c_lessequals @ SV64 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV571 @ tc_bool ) ) @ ( tc_fun @ SV571 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1831]) ).
thf(2351,plain,
! [SV572: $i,SV65: $i] :
( ( ~ ( hBOOL @ ( hAPP @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV65 @ tc_bool ) ) @ SV572 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1832]) ).
thf(2352,plain,
! [SV573: $i,SV66: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV66 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV573 @ tc_bool ) ) @ ( tc_fun @ SV573 @ tc_bool ) )
= SV66 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1833]) ).
thf(2353,plain,
! [SV574: $i,SV67: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV67 @ tc_bool ) ) @ SV574 @ ( tc_fun @ SV67 @ tc_bool ) )
= SV574 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1834]) ).
thf(2354,plain,
! [SV575: $i,SV68: $i] :
( ( ~ ( class_Lattices_Obounded__lattice @ SV68 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Obot__class_Obot @ SV68 ) @ SV575 @ SV68 )
= SV575 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1835]) ).
thf(2355,plain,
! [SV576: $i,SV69: $i] :
( ( ~ ( class_Lattices_Obounded__lattice @ SV69 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV576 @ ( c_Orderings_Obot__class_Obot @ SV69 ) @ SV69 )
= SV576 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1836]) ).
thf(2356,plain,
! [SV577: $i,SV70: $i] :
( ( ~ ( class_Orderings_Obot @ SV70 )
| ( c_lessequals @ ( c_Orderings_Obot__class_Obot @ SV70 ) @ SV577 @ SV70 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1837]) ).
thf(2357,plain,
! [SV578: $i,SV71: $i] :
( ( c_lessequals @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV71 @ tc_bool ) ) @ SV578 @ ( tc_fun @ SV71 @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1838]) ).
thf(2358,plain,
! [SV72: $i] :
( ( ( ~ ( class_Orderings_Obot @ SV72 ) )
= $true )
| ( ( ( hAPP @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ t_a @ SV72 ) ) @ v_x )
= ( c_Orderings_Obot__class_Obot @ SV72 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1839]) ).
thf(2359,plain,
! [SV579: $i,SV73: $i] :
( ( ! [SY2738: $i] :
( ( c_Set_Oinsert @ SV73 @ ( c_Set_Oinsert @ SV579 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2738 @ tc_bool ) ) @ SY2738 ) @ SY2738 )
= ( c_Set_Oinsert @ SV579 @ ( c_Set_Oinsert @ SV73 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2738 @ tc_bool ) ) @ SY2738 ) @ SY2738 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1840]) ).
thf(2360,plain,
! [SV580: $i,SV74: $i] :
( ( ! [SY2739: $i] :
( ( c_Set_Oimage @ SV74 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV580 @ tc_bool ) ) @ SV580 @ SY2739 )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2739 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1841]) ).
thf(2361,plain,
! [SV581: $i,SV75: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ SV75 ) @ ( c_Set_Oimage @ c_Message_OinvKey @ SV581 @ tc_nat @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV75 @ SV581 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1842]) ).
thf(2362,plain,
! [SV582: $i,SV76: $i] :
( ( ( hBOOL @ ( c_in @ SV76 @ SV582 @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ SV76 ) @ ( c_Set_Oimage @ c_Message_OinvKey @ SV582 @ tc_nat @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1843]) ).
thf(2363,plain,
! [SV583: $i,SV77: $i] :
( ( ! [SY2740: $i] :
( ( c_Set_Oinsert @ SV77 @ SV583 @ SY2740 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oinsert @ SV77 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2740 @ tc_bool ) ) @ SY2740 ) @ SV583 @ ( tc_fun @ SY2740 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1844]) ).
thf(2364,plain,
! [SV584: $i,SV78: $i] :
( ( ! [SY2741: $i] :
( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV78 @ tc_bool ) )
= ( c_Set_Oimage @ SV584 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2741 @ tc_bool ) ) @ SY2741 @ SV78 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1845]) ).
thf(2365,plain,
! [SV585: $i,SV79: $i] :
( ( ~ ( hBOOL @ ( c_in @ SV79 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV585 @ tc_bool ) ) @ SV585 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1846]) ).
thf(2366,plain,
! [SV586: $i,SV80: $i] :
( ( ! [SY2742: $i] :
( ( hBOOL @ ( hAPP @ SV80 @ SV586 ) )
| ~ ( hBOOL @ ( c_in @ SV586 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2742 @ tc_bool ) ) @ SY2742 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1847]) ).
thf(2367,plain,
! [SV587: $i,SV81: $i] :
( ( ~ ( hBOOL @ ( c_in @ SV81 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV587 @ tc_bool ) ) @ SV587 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1848]) ).
thf(2368,plain,
! [SV588: $i,SV82: $i] :
( ( ~ ( hBOOL @ ( c_in @ SV82 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV588 @ tc_bool ) ) @ SV588 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1849]) ).
thf(2369,plain,
! [SV589: $i,SV83: $i] :
( ( ! [SY2743: $i] :
( ~ ( hBOOL @ ( hAPP @ SV83 @ SV589 ) )
| ~ ( hBOOL @ ( c_in @ SV589 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2743 @ tc_bool ) ) @ SY2743 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1850]) ).
thf(2370,plain,
! [SV590: $i,SV84: $i] :
( ( ! [SY2744: $i] :
~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV84 @ SV590 ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SY2744 @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1851]) ).
thf(2371,plain,
! [SV591: $i,SV85: $i] :
( ( ( hBOOL @ ( c_in @ SV85 @ SV591 @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV85 ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV591 @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1852]) ).
thf(2372,plain,
! [SV592: $i,SV86: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV86 ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV592 @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV86 @ SV592 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1853]) ).
thf(2373,plain,
! [SV593: $i,SV87: $i] :
( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV87 ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV593 @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1854]) ).
thf(2374,plain,
! [SV594: $i,SV88: $i] :
( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ SV88 @ SV594 @ tc_Message_Omsg ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV88 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Message_Oparts @ SV594 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1855]) ).
thf(2375,plain,
! [SV595: $i,SV89: $i] :
( ( ! [SY2745: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ SV89 @ ( c_Set_Oinsert @ SV595 @ SY2745 @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV89 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV595 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Message_Oparts @ SY2745 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1856]) ).
thf(2376,plain,
! [SV90: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ SV90 ) ) @ c_Message_OsymKeys @ tc_nat ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1857]) ).
thf(2377,plain,
! [SV596: $i,SV91: $i] :
( ( ! [SY2746: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV91 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV596 @ tc_nat @ tc_Message_Omsg ) @ SY2746 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV91 ) @ ( c_Message_Oanalz @ SY2746 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV91 @ SV596 @ tc_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1858]) ).
thf(2378,plain,
! [SV597: $i,SV92: $i] :
( ( ! [SY2747: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV92 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV597 @ tc_nat @ tc_Message_Omsg ) @ SY2747 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV92 @ SV597 @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV92 ) @ ( c_Message_Oanalz @ SY2747 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1859]) ).
thf(2379,plain,
! [SV598: $i,SV93: $i] :
( ( ! [SY2748: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV93 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV598 @ tc_nat @ tc_Message_Omsg ) @ SY2748 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV93 @ SV598 @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV93 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV598 @ tc_nat @ tc_Message_Omsg ) @ SY2748 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1860]) ).
thf(2380,plain,
! [SV599: $i,SV94: $i] :
( ( ! [SY2749: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV94 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV599 @ tc_nat @ tc_Message_Omsg ) @ SY2749 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV94 @ SV599 @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV94 @ SV599 @ tc_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1861]) ).
thf(2381,plain,
! [SV600: $i,SV95: $i] :
( ( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV95 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Event_Oused @ SV600 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV95 @ ( c_Event_Oused @ SV600 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1862]) ).
thf(2382,plain,
! [SV601: $i,SV96: $i] :
( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ SV96 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV601 ) @ tc_Message_Omsg ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV96 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV601 ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1863]) ).
thf(2383,plain,
! [SV602: $i,SV97: $i] :
( ( ! [SY2750: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ SV97 ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV602 ) @ SY2750 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1864]) ).
thf(2384,plain,
! [SV603: $i,SV98: $i] :
( ( ! [SY2751: $i,SY2752: $i] :
( ( hBOOL @ ( c_in @ SV98 @ SV603 @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SY2751 ) @ SV98 ) ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SY2752 ) @ SV603 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1865]) ).
thf(2385,plain,
! [SV604: $i,SV99: $i] :
( ( ! [SY2753: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV99 ) @ SV604 ) ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV99 ) @ SY2753 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV604 @ SY2753 @ tc_Message_Oagent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1866]) ).
thf(2386,plain,
! [SV605: $i,SV100: $i] :
( ( ! [SY2754: $i] :
( ( hBOOL @ ( c_in @ SV100 @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV605 ) ) @ ( c_Message_Oparts @ SV605 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY2754 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV605 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV100 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SY2754 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1867]) ).
thf(2387,plain,
! [SV606: $i,SV101: $i] :
( ( ! [SY2755: $i,SY2756: $i] :
( ( c_Event_Oused @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV101 @ SV606 @ SY2755 ) @ SY2756 @ tc_Event_Oevent ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SY2755 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Event_Oused @ SY2756 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1868]) ).
thf(2388,plain,
! [SV607: $i,SV102: $i] :
( ( ! [SY2757: $i] :
( ( c_Event_Oused @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV102 @ SV607 ) @ SY2757 @ tc_Event_Oevent ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV607 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Event_Oused @ SY2757 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1869]) ).
thf(2389,plain,
! [SV608: $i,SV103: $i] :
( ( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV103 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV608 ) ) @ ( c_Message_Oparts @ SV608 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV103 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV608 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1870]) ).
thf(2390,plain,
! [SV609: $i,SV104: $i] :
( ( ! [SY2758: $i,SY2759: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV104 ) ) @ ( c_Message_Oparts @ SV609 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV104 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2758 @ SV609 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SY2759 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV609 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV104 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SY2759 @ SY2758 @ tc_Message_Omsg ) ) ) @ tc_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1871]) ).
thf(2391,plain,
! [SV610: $i,SV105: $i] :
( ( ~ ( hBOOL @ ( c_in @ SV105 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV610 ) ) ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV610 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ SV105 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV105 ) @ ( c_Event_Oused @ SV610 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1872]) ).
thf(2392,plain,
! [SV611: $i,SV106: $i] :
( ( ! [SY2760: $i,SY2761: $i,SY2762: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ SV106 @ SV611 @ SY2760 @ SY2761 ) @ ( c_Set_Oimage @ SV106 @ SY2762 @ SY2760 @ SY2761 ) @ ( tc_fun @ SY2761 @ tc_bool ) )
= ( c_Set_Oimage @ SV106 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV611 @ SY2762 @ ( tc_fun @ SY2760 @ tc_bool ) ) @ SY2760 @ SY2761 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1873]) ).
thf(2393,plain,
! [SV612: $i,SV107: $i] :
( ( ! [SY2763: $i,SY2764: $i,SY2765: $i] :
( ( c_Set_Oimage @ SV107 @ ( c_Set_Oinsert @ SV612 @ SY2763 @ SY2764 ) @ SY2764 @ SY2765 )
= ( c_Set_Oinsert @ ( hAPP @ SV107 @ SV612 ) @ ( c_Set_Oimage @ SV107 @ SY2763 @ SY2764 @ SY2765 ) @ SY2765 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1874]) ).
thf(2394,plain,
! [SV613: $i,SV108: $i] :
( ( ! [SY2766: $i,SY2767: $i,SY2768: $i] :
( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV108 @ SV613 @ ( tc_fun @ SY2766 @ tc_bool ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2767 @ SY2768 @ ( tc_fun @ SY2766 @ tc_bool ) ) @ ( tc_fun @ SY2766 @ tc_bool ) )
| ~ ( c_lessequals @ SV613 @ SY2768 @ ( tc_fun @ SY2766 @ tc_bool ) )
| ~ ( c_lessequals @ SV108 @ SY2767 @ ( tc_fun @ SY2766 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1875]) ).
thf(2395,plain,
! [SV614: $i,SV109: $i] :
( ( c_lessequals @ SV109 @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SV614 @ tc_bool ) ) @ ( tc_fun @ SV614 @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1876]) ).
thf(2396,plain,
! [SV615: $i,SV110: $i] :
( ( ~ ( class_Orderings_Otop @ SV110 )
| ( c_lessequals @ SV615 @ ( c_Orderings_Otop__class_Otop @ SV110 ) @ SV110 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1877]) ).
thf(2397,plain,
! [SV616: $i,SV111: $i] :
( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV111 ) @ SV616 ) ) @ c_Message_OsymKeys @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1878]) ).
thf(2398,plain,
! [SV617: $i,SV112: $i] :
( ( ! [SY2769: $i,SY2770: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV112 )
| ( c_lessequals @ SV617 @ SY2769 @ SV112 )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2770 @ SV617 @ SV112 ) @ SY2769 @ SV112 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1879]) ).
thf(2399,plain,
! [SV618: $i,SV113: $i] :
( ( ! [SY2771: $i,SY2772: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV113 )
| ( c_lessequals @ SV618 @ SY2771 @ SV113 )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV618 @ SY2772 @ SV113 ) @ SY2771 @ SV113 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1880]) ).
thf(2400,plain,
! [SV619: $i,SV114: $i] :
( ( ! [SY2773: $i,SY2774: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV114 )
| ( c_lessequals @ SV619 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2773 @ SY2774 @ SV114 ) @ SV114 )
| ~ ( c_lessequals @ SV619 @ SY2774 @ SV114 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1881]) ).
thf(2401,plain,
! [SV620: $i,SV115: $i] :
( ( ! [SY2775: $i,SY2776: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV115 )
| ( c_lessequals @ SV620 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2775 @ SY2776 @ SV115 ) @ SV115 )
| ~ ( c_lessequals @ SV620 @ SY2775 @ SV115 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1882]) ).
thf(2402,plain,
! [SV621: $i,SV116: $i] :
( ( ! [SY2777: $i,SY2778: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV116 )
| ( c_lessequals @ SV621 @ SY2777 @ SV116 )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2778 @ SV621 @ SV116 ) @ SY2777 @ SV116 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1883]) ).
thf(2403,plain,
! [SV622: $i,SV117: $i] :
( ( ! [SY2779: $i,SY2780: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV117 )
| ( c_lessequals @ SV622 @ SY2779 @ SV117 )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV622 @ SY2780 @ SV117 ) @ SY2779 @ SV117 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1884]) ).
thf(2404,plain,
! [SV623: $i,SV118: $i] :
( ( ! [SY2781: $i,SY2782: $i] :
( ( c_lessequals @ SV118 @ SV623 @ ( tc_fun @ SY2781 @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV118 @ SY2782 @ ( tc_fun @ SY2781 @ tc_bool ) ) @ SV623 @ ( tc_fun @ SY2781 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1885]) ).
thf(2405,plain,
! [SV624: $i,SV119: $i] :
( ( ! [SY2783: $i,SY2784: $i] :
( ( c_lessequals @ SV119 @ SV624 @ ( tc_fun @ SY2783 @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2784 @ SV119 @ ( tc_fun @ SY2783 @ tc_bool ) ) @ SV624 @ ( tc_fun @ SY2783 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1886]) ).
thf(2406,plain,
! [SV625: $i,SV120: $i] :
( ( ! [SY2785: $i,SY2786: $i] :
( ~ ( class_Orderings_Oorder @ SV120 )
| ( c_lessequals @ SV625 @ SY2785 @ SV120 )
| ~ ( c_lessequals @ SV625 @ SY2786 @ SV120 )
| ~ ( c_lessequals @ SY2786 @ SY2785 @ SV120 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1887]) ).
thf(2407,plain,
! [SV626: $i,SV121: $i] :
( ( ! [SY2787: $i,SY2788: $i] :
( ~ ( class_Orderings_Opreorder @ SV121 )
| ( c_lessequals @ SV626 @ SY2787 @ SV121 )
| ~ ( c_lessequals @ SY2788 @ SY2787 @ SV121 )
| ~ ( c_lessequals @ SV626 @ SY2788 @ SV121 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1888]) ).
thf(2408,plain,
! [SV627: $i,SV122: $i] :
( ( c_lessequals @ SV122 @ SV122 @ ( tc_fun @ SV627 @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1889]) ).
thf(2409,plain,
! [SV628: $i,SV123: $i] :
( ( c_lessequals @ SV123 @ SV123 @ ( tc_fun @ SV628 @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1890]) ).
thf(2410,plain,
! [SV629: $i,SV124: $i] :
( ( ! [SY2789: $i,SY2790: $i] :
( ( c_lessequals @ SV124 @ SV629 @ ( tc_fun @ SY2789 @ tc_bool ) )
| ~ ( c_lessequals @ SY2790 @ SV629 @ ( tc_fun @ SY2789 @ tc_bool ) )
| ~ ( c_lessequals @ SV124 @ SY2790 @ ( tc_fun @ SY2789 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1891]) ).
thf(2411,plain,
! [SV630: $i,SV125: $i] :
( ( ! [SY2791: $i,SY2792: $i] :
( ( hBOOL @ ( hAPP @ SV125 @ SV630 ) )
| ~ ( hBOOL @ ( hAPP @ SY2791 @ SV630 ) )
| ~ ( c_lessequals @ SY2791 @ SV125 @ ( tc_fun @ SY2792 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1892]) ).
thf(2412,plain,
! [SV631: $i,SV126: $i] :
( ( ~ ( class_Orderings_Oorder @ SV126 )
| ( c_lessequals @ SV631 @ SV631 @ SV126 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1893]) ).
thf(2413,plain,
! [SV632: $i,SV127: $i] :
( ( ~ ( class_Orderings_Opreorder @ SV127 )
| ( c_lessequals @ SV632 @ SV632 @ SV127 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1894]) ).
thf(2414,plain,
! [SV633: $i,SV128: $i] :
( ( ! [SY2793: $i,SY2794: $i] :
( ( hBOOL @ ( hAPP @ SV128 @ SV633 ) )
| ~ ( c_lessequals @ SY2793 @ SV128 @ ( tc_fun @ SY2794 @ tc_bool ) )
| ~ ( hBOOL @ ( hAPP @ SY2793 @ SV633 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1895]) ).
thf(2415,plain,
! [SV634: $i,SV129: $i] :
( ( ! [SY2795: $i,SY2796: $i,SY2797: $i] :
( ( c_lessequals @ ( c_Set_Oimage @ SV129 @ SV634 @ SY2795 @ SY2796 ) @ ( c_Set_Oimage @ SV129 @ SY2797 @ SY2795 @ SY2796 ) @ ( tc_fun @ SY2796 @ tc_bool ) )
| ~ ( c_lessequals @ SV634 @ SY2797 @ ( tc_fun @ SY2795 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1896]) ).
thf(2416,plain,
! [SV635: $i,SV130: $i] :
( ( ! [SY2798: $i,SY2799: $i,SY2800: $i] :
( ~ ( c_lessequals @ SV130 @ SV635 @ ( tc_fun @ SY2798 @ tc_bool ) )
| ( c_lessequals @ ( c_Set_Oimage @ SY2799 @ SV130 @ SY2798 @ SY2800 ) @ ( c_Set_Oimage @ SY2799 @ SV635 @ SY2798 @ SY2800 ) @ ( tc_fun @ SY2800 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1897]) ).
thf(2417,plain,
! [SV636: $i,SV131: $i] :
( ( ! [SY2801: $i,SY2802: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ SV131 @ SV636 @ SY2801 ) @ ( c_Set_Oinsert @ SV131 @ SY2802 @ SY2801 ) @ ( tc_fun @ SY2801 @ tc_bool ) )
| ~ ( c_lessequals @ SV636 @ SY2802 @ ( tc_fun @ SY2801 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1898]) ).
thf(2418,plain,
! [SV637: $i,SV132: $i] :
( ( ! [SY2803: $i,SY2804: $i,SY2805: $i] :
( ( c_Set_Oimage @ SV132 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV637 @ SY2803 @ ( tc_fun @ SY2804 @ tc_bool ) ) @ SY2804 @ SY2805 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ SV132 @ SV637 @ SY2804 @ SY2805 ) @ ( c_Set_Oimage @ SV132 @ SY2803 @ SY2804 @ SY2805 ) @ ( tc_fun @ SY2805 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1899]) ).
thf(2419,plain,
! [SV638: $i,SV133: $i] :
( ( ! [SY2806: $i,SY2807: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV133 @ SV638 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2806 @ SY2807 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oanalz @ SV638 ) @ ( c_Message_Oanalz @ SY2807 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oanalz @ SV133 ) @ ( c_Message_Oanalz @ SY2806 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1900]) ).
thf(2420,plain,
! [SV639: $i,SV135: $i] :
( ( ! [SY2808: $i] :
( ~ ( class_Orderings_Olinorder @ SV135 )
| ( c_lessequals @ SV639 @ SY2808 @ SV135 )
| ( c_lessequals @ SY2808 @ SV639 @ SV135 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1902]) ).
thf(2421,plain,
! [SV640: $i,SV136: $i] :
( ( ! [SY2809: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV136 @ SV640 @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ SY2809 ) @ ( c_Message_Oparts @ SV640 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV136 @ SY2809 @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1903]) ).
thf(2422,plain,
! [SV641: $i,SV138: $i] :
( ( ! [SY2810: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV138 ) @ SV641 ) ) @ ( c_Set_Oimage @ c_Public_OshrK @ SY2810 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1905]) ).
thf(2423,plain,
! [SV642: $i,SV139: $i] :
( ( ! [SY2811: $i,SY2812: $i] :
( ( c_lessequals @ SV139 @ SV642 @ ( tc_fun @ SY2811 @ tc_bool ) )
| ~ ( c_lessequals @ SV139 @ ( c_Set_Oinsert @ SY2812 @ SV642 @ SY2811 ) @ ( tc_fun @ SY2811 @ tc_bool ) )
| ( hBOOL @ ( c_in @ SY2812 @ SV139 @ SY2811 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1906]) ).
thf(2424,plain,
! [SV643: $i,SV140: $i] :
( ( ! [SY2813: $i,SY2814: $i] :
( ( c_lessequals @ SV140 @ ( c_Set_Oinsert @ SV643 @ SY2813 @ SY2814 ) @ ( tc_fun @ SY2814 @ tc_bool ) )
| ~ ( c_lessequals @ SV140 @ SY2813 @ ( tc_fun @ SY2814 @ tc_bool ) )
| ( hBOOL @ ( c_in @ SV643 @ SV140 @ SY2814 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1907]) ).
thf(2425,plain,
! [SV644: $i,SV141: $i] :
( ( ! [SY2815: $i,SY2816: $i] :
( ( c_lessequals @ SV141 @ SV644 @ ( tc_fun @ SY2815 @ tc_bool ) )
| ( hBOOL @ ( c_in @ SY2816 @ SV141 @ SY2815 ) )
| ~ ( c_lessequals @ SV141 @ ( c_Set_Oinsert @ SY2816 @ SV644 @ SY2815 ) @ ( tc_fun @ SY2815 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1908]) ).
thf(2426,plain,
! [SV645: $i,SV142: $i] :
( ( ! [SY2817: $i,SY2818: $i] :
( ( c_lessequals @ SV142 @ ( c_Set_Oinsert @ SV645 @ SY2817 @ SY2818 ) @ ( tc_fun @ SY2818 @ tc_bool ) )
| ~ ( c_lessequals @ SV142 @ SY2817 @ ( tc_fun @ SY2818 @ tc_bool ) )
| ( hBOOL @ ( c_in @ SV645 @ SV142 @ SY2818 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1909]) ).
thf(2427,plain,
! [SV646: $i,SV143: $i] :
( ( ! [SY2819: $i,SY2820: $i,SY2821: $i] :
( ( ( c_Set_Oinsert @ ( hAPP @ SV143 @ SV646 ) @ ( c_Set_Oimage @ SV143 @ SY2819 @ SY2820 @ SY2821 ) @ SY2821 )
= ( c_Set_Oimage @ SV143 @ SY2819 @ SY2820 @ SY2821 ) )
| ~ ( hBOOL @ ( c_in @ SV646 @ SY2819 @ SY2820 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1910]) ).
thf(2428,plain,
! [SV647: $i,SV144: $i] :
( ( ! [SY2822: $i,SY2823: $i] :
( ( hBOOL @ ( c_in @ SV144 @ SV647 @ SY2822 ) )
| ~ ( c_lessequals @ ( c_Set_Oinsert @ SV144 @ SY2823 @ SY2822 ) @ SV647 @ ( tc_fun @ SY2822 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1911]) ).
thf(2429,plain,
! [SV648: $i,SV145: $i] :
( ( ! [SY2824: $i,SY2825: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ SV145 @ SV648 @ SY2824 ) @ SY2825 @ ( tc_fun @ SY2824 @ tc_bool ) )
| ~ ( c_lessequals @ SV648 @ SY2825 @ ( tc_fun @ SY2824 @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV145 @ SY2825 @ SY2824 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1912]) ).
thf(2430,plain,
! [SV649: $i,SV146: $i] :
( ( ! [SY2826: $i] : ( c_lessequals @ ( c_List_Oset @ SV146 @ SV649 ) @ ( c_List_Oset @ ( c_List_Olist_OCons @ SY2826 @ SV146 @ SV649 ) @ SV649 ) @ ( tc_fun @ SV649 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1913]) ).
thf(2431,plain,
! [SV650: $i,SV147: $i] :
( ( ! [SY2827: $i] :
( ( hBOOL @ ( c_in @ SV147 @ ( c_Event_Oused @ SV650 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV147 @ SY2827 ) @ ( c_Event_Oused @ SV650 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1914]) ).
thf(2432,plain,
! [SV651: $i,SV148: $i] :
( ( ! [SY2828: $i] :
( ( hBOOL @ ( c_in @ SV148 @ ( c_Event_Oused @ SV651 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SY2828 @ SV148 ) @ ( c_Event_Oused @ SV651 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1915]) ).
thf(2433,plain,
! [SV652: $i,SV149: $i] :
( ( ! [SY2829: $i] :
( ( hBOOL @ ( c_in @ SV149 @ ( c_Message_Oparts @ SV652 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV149 @ ( c_Message_Oparts @ SY2829 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV149 @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2829 @ SV652 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1916]) ).
thf(2434,plain,
! [SV653: $i,SV150: $i] :
( ( ! [SY2830: $i] :
( ( hBOOL @ ( c_in @ SV150 @ ( c_Message_Oparts @ SV653 ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SY2830 @ ( c_Message_Oparts @ SV653 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV150 @ ( c_Message_Oparts @ SY2830 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1917]) ).
thf(2435,plain,
! [SV654: $i,SV151: $i] :
( ( ! [SY2831: $i] :
( ( hBOOL @ ( c_in @ SV151 @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV654 @ SY2831 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV151 @ ( c_Message_Oanalz @ SY2831 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1918]) ).
thf(2436,plain,
! [SV655: $i,SV152: $i] :
( ( ! [SY2832: $i] :
( ( hBOOL @ ( c_in @ SV152 @ ( c_Message_Oanalz @ SV655 ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SY2832 @ ( c_Message_Oanalz @ SV655 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV152 @ ( c_Message_Oanalz @ SY2832 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1919]) ).
thf(2437,plain,
! [SV656: $i,SV153: $i] :
( ( ! [SY2833: $i] :
( ( hBOOL @ ( c_in @ SV153 @ ( c_Message_Oanalz @ SV656 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SY2833 ) @ ( c_Message_Oanalz @ SV656 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY2833 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SY2833 @ SV153 ) @ ( c_Message_Oanalz @ SV656 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1920]) ).
thf(2438,plain,
! [SV657: $i,SV155: $i] :
( ( ! [SY2834: $i] :
( ( hBOOL @ ( c_in @ SV155 @ ( c_Message_Osynth @ SV657 ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SY2834 @ ( c_Message_Osynth @ SV657 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV155 @ ( c_Message_Osynth @ SY2834 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1922]) ).
thf(2439,plain,
! [SV658: $i,SV156: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ SV156 @ ( c_Message_Oparts @ SV658 ) @ tc_Message_Omsg ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV156 @ SV658 @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1923]) ).
thf(2440,plain,
! [SV659: $i,SV157: $i] :
( ( ! [SY2835: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV157 @ SV659 @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY2835 ) ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2835 @ SV659 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV157 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY2835 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1924]) ).
thf(2441,plain,
! [SV660: $i,SV159: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ SV159 @ ( c_Message_Oanalz @ SV660 ) @ tc_Message_Omsg ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV159 @ SV660 @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1926]) ).
thf(2442,plain,
! [SV661: $i,SV160: $i] :
( ( ( c_lessequals @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV160 ) ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV661 ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ SV160 @ SV661 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1927]) ).
thf(2443,plain,
! [SV662: $i,SV162: $i] :
( ( ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ SV162 ) @ SV662 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV162 @ SV662 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( c_Message_Osynth @ SV162 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1929]) ).
thf(2444,plain,
! [SV663: $i,SV163: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ SV163 @ ( c_Message_Osynth @ SV663 ) @ tc_Message_Omsg ) @ ( c_Message_Osynth @ ( c_Set_Oinsert @ SV163 @ SV663 @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1930]) ).
thf(2445,plain,
! [SV664: $i,SV164: $i] :
( ( ! [SY2836: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV164 @ SV664 ) @ ( c_Event_Oknows @ SV164 @ ( c_List_Olist_OCons @ SY2836 @ SV664 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1931]) ).
thf(2446,plain,
! [SV665: $i,SV165: $i] :
( ( ! [SY2837: $i] :
( ( c_Event_Oused @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV165 @ SV665 ) @ SY2837 @ tc_Event_Oevent ) )
= ( c_Event_Oused @ SY2837 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1932]) ).
thf(2447,plain,
! [SV666: $i,SV166: $i] :
( ( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV166 @ SV666 @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV666 ) ) @ ( c_Message_Oparts @ SV666 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV166 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV666 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1933]) ).
thf(2448,plain,
! [SV667: $i,SV167: $i] :
( ( ! [SY2838: $i,SY2839: $i] :
( ( hBOOL @ ( c_in @ SV167 @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV667 @ SY2838 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY2839 @ ( c_Message_Oparts @ SY2838 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV167 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SY2839 @ SV667 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1934]) ).
thf(2449,plain,
! [SV668: $i,SV168: $i] :
( ( ! [SY2840: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV168 @ SV668 @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ SV668 ) )
| ~ ( c_lessequals @ SY2840 @ SV668 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV168 @ ( c_Message_Oanalz @ SY2840 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1935]) ).
thf(2450,plain,
! [SV669: $i,SV169: $i] :
( ( ! [SY2841: $i] : ( c_lessequals @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV169 @ SV669 ) @ SY2841 @ tc_Message_Omsg ) ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV169 @ SV669 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV669 @ SY2841 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1936]) ).
thf(2451,plain,
! [SV670: $i,SV170: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV170 ) ) @ ( c_Event_Oused @ SV670 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1937]) ).
thf(2452,plain,
! [SV671: $i,SV171: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV171 ) ) @ ( c_Event_Oused @ SV671 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1938]) ).
thf(2453,plain,
! [SV672: $i,SV172: $i] :
( ( ! [SY2842: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ ( c_Public_OpublicKey @ SV172 ) @ SV672 ) ) @ ( c_Event_Oused @ SY2842 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1939]) ).
thf(2454,plain,
! [SV673: $i,SV173: $i] :
( ( ( hBOOL @ ( c_in @ SV173 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV673 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV173 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV173 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV673 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1940]) ).
thf(2455,plain,
! [SV674: $i,SV174: $i] :
( ( ! [SY2843: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV174 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV674 ) ) @ tc_Message_Omsg ) )
| ( SV174 = SY2843 )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV174 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SY2843 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV674 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SY2843 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV674 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1941]) ).
thf(2456,plain,
! [SV675: $i,SV175: $i] :
( ( ! [SY2844: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV175 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV675 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2844 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV175 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2844 ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV675 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SY2844 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1942]) ).
thf(2457,plain,
! [SV676: $i,SV176: $i] :
( ( ! [SY2845: $i,SY2846: $i,SY2847: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV176 @ SV676 ) @ ( c_Event_Oknows @ SV176 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SY2845 @ SY2846 @ SY2847 ) @ SV676 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1943]) ).
thf(2458,plain,
! [SV677: $i,SV177: $i] :
( ( ! [SY2848: $i,SY2849: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV177 @ SV677 ) @ ( c_Event_Oknows @ SV177 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SY2848 @ SY2849 ) @ SV677 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1944]) ).
thf(2459,plain,
! [SV678: $i,SV178: $i] :
( ( ! [SY2850: $i,SY2851: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV178 @ SV678 ) @ ( c_Event_Oknows @ SV178 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SY2850 @ SY2851 ) @ SV678 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1945]) ).
thf(2460,plain,
! [SV679: $i,SV179: $i] :
( ( ! [SY2852: $i,SY2853: $i,SY2854: $i,SY2855: $i,SY2856: $i] :
( ~ ( hBOOL @ ( c_in @ SV179 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV679 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY2852 @ ( c_Message_Omsg_OCrypt @ SY2853 @ ( c_Message_Omsg_OMPair @ SY2854 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2855 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV179 ) @ SY2856 ) ) ) ) ) @ ( c_List_Oset @ SV679 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1946]) ).
thf(2461,plain,
! [SV680: $i,SV180: $i] :
( ( ( hBOOL @ ( c_in @ SV180 @ ( c_Event_Oused @ SV680 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV180 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV680 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1947]) ).
thf(2462,plain,
! [SV681: $i,SV181: $i] :
( ( ! [SY2857: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV181 ) @ SV681 ) ) ) @ ( c_Event_Oused @ SY2857 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1948]) ).
thf(2463,plain,
! [SV682: $i,SV182: $i] :
( ( ! [SY2858: $i,SY2859: $i] :
( ( hBOOL @ ( c_in @ SV182 @ ( c_Event_Oused @ SV682 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY2858 @ SY2859 @ SV182 ) @ ( c_List_Oset @ SV682 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1949]) ).
thf(2464,plain,
! [SV683: $i,SV183: $i] :
( ( ! [SY2860: $i,SY2861: $i,SY2862: $i,SY2863: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV183 @ SV683 @ ( c_Message_Omsg_OCrypt @ SY2860 @ ( c_Message_Omsg_ONonce @ SY2861 ) ) ) @ SY2862 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY2863 @ SV183 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV183 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2860 ) @ ( c_Message_Omsg_OAgent @ SV683 ) ) ) ) @ ( c_List_Oset @ SY2862 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SY2860 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SY2861 ) @ ( c_Event_Oused @ SY2862 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SY2862 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1950]) ).
thf(2465,plain,
! [SV684: $i,SV184: $i] :
( ( ! [SY2864: $i,SY2865: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV184 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV684 @ SY2864 @ SY2865 ) @ SV184 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1951]) ).
thf(2466,plain,
! [SV685: $i,SV185: $i] :
( ( ! [SY2866: $i] :
( ( hBOOL @ ( c_in @ SV185 @ ( c_Event_Oused @ SV685 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SY2866 @ SV185 ) @ ( c_List_Oset @ SV685 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1952]) ).
thf(2467,plain,
! [SV686: $i,SV186: $i] :
( ( ! [SY2867: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV186 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV686 @ SY2867 ) @ SV186 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1953]) ).
thf(2468,plain,
! [SV687: $i,SV187: $i] :
( ( ! [SY2868: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV187 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV687 @ SY2868 ) @ SV187 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1954]) ).
thf(2469,plain,
! [SV688: $i,SV188: $i] :
( ( ! [SY2869: $i,SY2870: $i,SY2871: $i,SY2872: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV188 @ SV688 @ ( c_Message_Omsg_OCrypt @ SY2869 @ ( c_Message_Omsg_ONonce @ SY2870 ) ) ) @ SY2871 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY2872 @ SV188 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV188 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2869 ) @ ( c_Message_Omsg_OAgent @ SV688 ) ) ) ) @ ( c_List_Oset @ SY2871 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SY2869 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SY2870 ) @ ( c_Event_Oused @ SY2871 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY2871 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1955]) ).
thf(2470,plain,
! [SV689: $i,SV189: $i] :
( ( ! [SY2873: $i,SY2874: $i,SY2875: $i,SY2876: $i] :
( ~ ( hBOOL @ ( c_in @ SV189 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV689 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SY2873 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY2873 ) @ ( c_Message_Omsg_OMPair @ SY2874 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2875 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV189 ) @ SY2876 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV689 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1956]) ).
thf(2471,plain,
! [SV690: $i,SV190: $i] :
( ( ! [SY2877: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV190 @ SV690 @ ( tc_fun @ SY2877 @ tc_bool ) )
= SV190 )
| ~ ( c_lessequals @ SV690 @ SV190 @ ( tc_fun @ SY2877 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1957]) ).
thf(2472,plain,
! [SV691: $i,SV191: $i] :
( ( ! [SY2878: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV191 @ SV691 @ ( tc_fun @ SY2878 @ tc_bool ) )
= SV691 )
| ~ ( c_lessequals @ SV191 @ SV691 @ ( tc_fun @ SY2878 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1958]) ).
thf(2473,plain,
! [SV692: $i,SV192: $i] :
( ( ! [SY2879: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV192 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV692 @ SY2879 @ SV192 )
= SY2879 )
| ~ ( c_lessequals @ SV692 @ SY2879 @ SV192 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1959]) ).
thf(2474,plain,
! [SV693: $i,SV193: $i] :
( ( ! [SY2880: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV193 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV693 @ SY2880 @ SV193 )
= SV693 )
| ~ ( c_lessequals @ SY2880 @ SV693 @ SV193 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1960]) ).
thf(2475,plain,
! [SV694: $i,SV194: $i] :
( ( ! [SY2881: $i] :
( ~ ( class_Orderings_Oorder @ SV194 )
| ( SV694 = SY2881 )
| ~ ( c_lessequals @ SV694 @ SY2881 @ SV194 )
| ~ ( c_lessequals @ SY2881 @ SV694 @ SV194 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1961]) ).
thf(2476,plain,
! [SV695: $i,SV195: $i] :
( ( ! [SY2882: $i] :
( ~ ( class_Orderings_Oorder @ SV195 )
| ( SV695 = SY2882 )
| ~ ( c_lessequals @ SY2882 @ SV695 @ SV195 )
| ~ ( c_lessequals @ SV695 @ SY2882 @ SV195 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1962]) ).
thf(2477,plain,
! [SV696: $i,SV196: $i] :
( ( ! [SY2883: $i] :
( ~ ( class_Orderings_Oorder @ SV196 )
| ( SV696 = SY2883 )
| ~ ( c_lessequals @ SY2883 @ SV696 @ SV196 )
| ~ ( c_lessequals @ SV696 @ SY2883 @ SV196 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1963]) ).
thf(2478,plain,
! [SV697: $i,SV197: $i] :
( ( ! [SY2884: $i] :
( ( SV197 = SV697 )
| ~ ( c_lessequals @ SV697 @ SV197 @ ( tc_fun @ SY2884 @ tc_bool ) )
| ~ ( c_lessequals @ SV197 @ SV697 @ ( tc_fun @ SY2884 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1964]) ).
thf(2479,plain,
! [SV698: $i,SV198: $i] :
( ( ! [SY2885: $i] :
( ( SV198 = SV698 )
| ~ ( c_lessequals @ SV698 @ SV198 @ ( tc_fun @ SY2885 @ tc_bool ) )
| ~ ( c_lessequals @ SV198 @ SV698 @ ( tc_fun @ SY2885 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1965]) ).
thf(2480,plain,
! [SV199: $i] :
( ( ( ~ ( class_Orderings_Otop @ SV199 ) )
= $true )
| ( ( ( hAPP @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ t_a @ SV199 ) ) @ v_x )
= ( c_Orderings_Otop__class_Otop @ SV199 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1966]) ).
thf(2481,plain,
! [SV699: $i,SV200: $i] :
( ( hBOOL @ ( hAPP @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SV200 @ tc_bool ) ) @ SV699 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1967]) ).
thf(2482,plain,
! [SV700: $i,SV201: $i] :
( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ SV201 ) @ ( c_Message_Osynth @ SV700 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Message_Osynth @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV201 @ SV700 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1968]) ).
thf(2483,plain,
! [SV701: $i,SV202: $i] :
( ( ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV202 @ SV701 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ SV202 ) @ ( c_Message_Oparts @ SV701 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1969]) ).
thf(2484,plain,
! [SV204: $i] :
( ( ( ( hAPP @ c_Message_OinvKey @ SV204 )
= SV204 )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV204 @ c_Message_OsymKeys @ tc_nat ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1971]) ).
thf(2485,plain,
! [SV702: $i,SV205: $i] :
( ( ! [SY2886: $i,SY2887: $i] :
( ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV205 @ SV702 @ ( tc_fun @ SY2886 @ tc_bool ) ) @ SY2887 ) )
| ~ ( hBOOL @ ( hAPP @ SV205 @ SY2887 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1972]) ).
thf(2486,plain,
! [SV703: $i,SV206: $i] :
( ( ! [SY2888: $i,SY2889: $i] :
( ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV206 @ SV703 @ ( tc_fun @ SY2888 @ tc_bool ) ) @ SY2889 ) )
| ~ ( hBOOL @ ( hAPP @ SV703 @ SY2889 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1973]) ).
thf(2487,plain,
! [SV704: $i,SV207: $i] :
( ( ! [SY2890: $i,SY2891: $i] :
( ( hBOOL @ ( hAPP @ SV207 @ SV704 ) )
| ( hBOOL @ ( hAPP @ SY2890 @ SV704 ) )
| ~ ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2890 @ SV207 @ ( tc_fun @ SY2891 @ tc_bool ) ) @ SV704 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1974]) ).
thf(2488,plain,
! [SV208: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ SV208 ) @ c_Message_OsymKeys @ tc_nat ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV208 @ c_Message_OsymKeys @ tc_nat ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1975]) ).
thf(2489,plain,
! [SV209: $i] :
( ( ( hBOOL @ ( c_in @ SV209 @ c_Message_OsymKeys @ tc_nat ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ SV209 ) @ c_Message_OsymKeys @ tc_nat ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1976]) ).
thf(2490,plain,
! [SV705: $i,SV210: $i] :
( ( ! [SY2892: $i] : ( c_lessequals @ SV210 @ ( c_Set_Oinsert @ SV705 @ SV210 @ SY2892 ) @ ( tc_fun @ SY2892 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1977]) ).
thf(2491,plain,
! [SV706: $i,SV211: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV211 @ SV706 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ SV211 ) @ ( c_Message_Oparts @ SV706 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1978]) ).
thf(2492,plain,
! [SV707: $i,SV212: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV212 @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SV707 @ tc_bool ) ) @ ( tc_fun @ SV707 @ tc_bool ) )
= ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SV707 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1979]) ).
thf(2493,plain,
! [SV708: $i,SV213: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SV213 @ tc_bool ) ) @ SV708 @ ( tc_fun @ SV213 @ tc_bool ) )
= ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SV213 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1980]) ).
thf(2494,plain,
! [SV709: $i,SV214: $i] :
( ( ~ ( class_Lattices_Obounded__lattice @ SV214 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Otop__class_Otop @ SV214 ) @ SV709 @ SV214 )
= ( c_Orderings_Otop__class_Otop @ SV214 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1981]) ).
thf(2495,plain,
! [SV710: $i,SV215: $i] :
( ( ~ ( class_Lattices_Obounded__lattice @ SV215 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV710 @ ( c_Orderings_Otop__class_Otop @ SV215 ) @ SV215 )
= ( c_Orderings_Otop__class_Otop @ SV215 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1982]) ).
thf(2496,plain,
! [SV711: $i,SV216: $i] :
( ( ! [SY2893: $i,SY2894: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV216 ) @ SV711 ) ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SY2893 ) @ SY2894 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1983]) ).
thf(2497,plain,
! [SV712: $i,SV217: $i] :
( ( ! [SY2895: $i,SY2896: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ SV217 @ ( c_Set_Oinsert @ SV712 @ SY2895 @ SY2896 ) @ ( tc_fun @ SY2896 @ tc_bool ) )
= ( c_Set_Oinsert @ SV712 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV217 @ SY2895 @ ( tc_fun @ SY2896 @ tc_bool ) ) @ SY2896 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1984]) ).
thf(2498,plain,
! [SV713: $i,SV218: $i] :
( ( ! [SY2897: $i,SY2898: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oinsert @ SV218 @ SV713 @ SY2897 ) @ SY2898 @ ( tc_fun @ SY2897 @ tc_bool ) )
= ( c_Set_Oinsert @ SV218 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV713 @ SY2898 @ ( tc_fun @ SY2897 @ tc_bool ) ) @ SY2897 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1985]) ).
thf(2499,plain,
! [SV714: $i,SV219: $i] :
( ( ! [SY2899: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV219 ) @ SV714 ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV219 ) @ SY2899 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV714 @ SY2899 @ tc_Message_Oagent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1986]) ).
thf(2500,plain,
! [SV715: $i,SV220: $i] :
( ( ! [SY2900: $i,SY2901: $i] :
( ( hBOOL @ ( c_in @ SV220 @ SV715 @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SY2900 ) @ SV220 ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SY2901 ) @ SV715 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1987]) ).
thf(2501,plain,
! [SV716: $i,SV221: $i] :
( ( ! [SY2902: $i,SY2903: $i] :
( ( SV221 = SV716 )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV221 ) @ SY2902 ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV716 ) @ SY2903 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1988]) ).
thf(2502,plain,
! [SV717: $i,SV222: $i] :
( ( ! [SY2904: $i,SY2905: $i] :
( ( c_lessequals @ SV222 @ ( c_Set_Oinsert @ SV717 @ SY2904 @ SY2905 ) @ ( tc_fun @ SY2905 @ tc_bool ) )
| ~ ( c_lessequals @ SV222 @ SY2904 @ ( tc_fun @ SY2905 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1989]) ).
thf(2503,plain,
! [SV718: $i,SV223: $i] :
( ( ! [SY2906: $i,SY2907: $i] :
( ( c_lessequals @ SV223 @ SV718 @ ( tc_fun @ SY2906 @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Set_Oinsert @ SY2907 @ SV223 @ SY2906 ) @ SV718 @ ( tc_fun @ SY2906 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1990]) ).
thf(2504,plain,
! [SV719: $i,SV224: $i] :
( ( ( c_lessequals @ ( c_Message_Oparts @ SV224 ) @ ( c_Message_Oparts @ SV719 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ SV224 @ SV719 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1991]) ).
thf(2505,plain,
! [SV720: $i,SV225: $i] :
( ( ! [SY2908: $i,SY2909: $i,SY2910: $i,SY2911: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ SV225 @ SV720 ) @ SY2908 @ SY2909 ) )
| ~ ( hBOOL @ ( c_in @ SV720 @ SY2910 @ SY2911 ) )
| ~ ( c_lessequals @ ( c_Set_Oimage @ SV225 @ SY2910 @ SY2911 @ SY2909 ) @ SY2908 @ ( tc_fun @ SY2909 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1992]) ).
thf(2506,plain,
! [SV721: $i,SV226: $i] :
( ( ! [SY2912: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV226 ) @ SV721 ) @ ( c_Set_Oimage @ c_Public_OshrK @ SY2912 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1993]) ).
thf(2507,plain,
! [SV722: $i,SV227: $i] :
( ( ! [SY2913: $i] :
( ~ ( class_Lattices_Olattice @ SV227 )
| ( ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV722 @ SY2913 @ ( tc_fun @ t_a @ SV227 ) ) @ v_x )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( hAPP @ SV722 @ v_x ) @ ( hAPP @ SY2913 @ v_x ) @ SV227 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1994]) ).
thf(2508,plain,
! [SV723: $i,SV228: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV228 @ SV228 @ ( tc_fun @ SV723 @ tc_bool ) )
= SV228 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1995]) ).
thf(2509,plain,
! [SV724: $i,SV229: $i] :
( ( ~ ( class_Lattices_Oupper__semilattice @ SV229 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV724 @ SV724 @ SV229 )
= SV724 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1996]) ).
thf(2510,plain,
! [SV725: $i,SV230: $i] :
( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oanalz @ SV230 ) @ ( c_Message_Oanalz @ SV725 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV230 @ SV725 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1997]) ).
thf(2511,plain,
! [SV726: $i,SV231: $i] :
( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ SV231 ) @ ( c_Message_Oparts @ SV726 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV231 @ SV726 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1998]) ).
thf(2512,plain,
! [SV727: $i,SV232: $i] :
( ( ! [SY2914: $i,SY2915: $i] : ( hBOOL @ ( c_in @ ( hAPP @ SV232 @ SV727 ) @ ( c_Set_Oimage @ SV232 @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SY2914 @ tc_bool ) ) @ SY2914 @ SY2915 ) @ SY2915 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1999]) ).
thf(2513,plain,
! [SV728: $i,SV233: $i] :
( ( ! [SY2916: $i,SY2917: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ SV233 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV728 @ SY2916 @ ( tc_fun @ SY2917 @ tc_bool ) ) @ ( tc_fun @ SY2917 @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV728 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV233 @ SY2916 @ ( tc_fun @ SY2917 @ tc_bool ) ) @ ( tc_fun @ SY2917 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2000]) ).
thf(2514,plain,
! [SV729: $i,SV234: $i] :
( ( ! [SY2918: $i,SY2919: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV234 @ SV729 @ ( tc_fun @ SY2918 @ tc_bool ) ) @ SY2919 @ ( tc_fun @ SY2918 @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV234 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV729 @ SY2919 @ ( tc_fun @ SY2918 @ tc_bool ) ) @ ( tc_fun @ SY2918 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2001]) ).
thf(2515,plain,
! [SV730: $i,SV235: $i] :
( ( ! [SY2920: $i,SY2921: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV235 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV730 @ SY2920 @ SV235 ) @ SY2921 @ SV235 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV730 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2920 @ SY2921 @ SV235 ) @ SV235 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2002]) ).
thf(2516,plain,
! [SV731: $i,SV236: $i] :
( ( ! [SY2922: $i,SY2923: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV236 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV731 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2922 @ SY2923 @ SV236 ) @ SV236 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SY2922 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV731 @ SY2923 @ SV236 ) @ SV236 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2003]) ).
thf(2517,plain,
! [SV732: $i,SV237: $i] :
( ( ! [SY2924: $i,SY2925: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ SV237 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV732 @ SY2924 @ ( tc_fun @ SY2925 @ tc_bool ) ) @ ( tc_fun @ SY2925 @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV237 @ SV732 @ ( tc_fun @ SY2925 @ tc_bool ) ) @ SY2924 @ ( tc_fun @ SY2925 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2004]) ).
thf(2518,plain,
! [SV733: $i,SV238: $i] :
( ( ! [SY2926: $i,SY2927: $i] :
( ~ ( class_Lattices_Olattice @ SV238 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV733 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2926 @ SY2927 @ SV238 ) @ SV238 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SY2926 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV733 @ SY2927 @ SV238 ) @ SV238 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2005]) ).
thf(2519,plain,
! [SV734: $i,SV239: $i] :
( ( ! [SY2928: $i,SY2929: $i] :
( ~ ( class_Lattices_Olattice @ SV239 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV734 @ SY2928 @ SV239 ) @ SY2929 @ SV239 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV734 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2928 @ SY2929 @ SV239 ) @ SV239 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2006]) ).
thf(2520,plain,
! [SV735: $i,SV240: $i] :
( ( ! [SY2930: $i,SY2931: $i] :
( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV240 @ SV735 @ ( tc_fun @ SY2930 @ tc_bool ) ) @ SY2931 @ ( tc_fun @ SY2930 @ tc_bool ) )
| ~ ( c_lessequals @ SV735 @ SY2931 @ ( tc_fun @ SY2930 @ tc_bool ) )
| ~ ( c_lessequals @ SV240 @ SY2931 @ ( tc_fun @ SY2930 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2007]) ).
thf(2521,plain,
! [SV736: $i,SV241: $i] :
( ( ! [SY2932: $i] : ( c_lessequals @ SV241 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV736 @ SV241 @ ( tc_fun @ SY2932 @ tc_bool ) ) @ ( tc_fun @ SY2932 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2008]) ).
thf(2522,plain,
! [SV737: $i,SV242: $i] :
( ( ! [SY2933: $i] : ( c_lessequals @ SV242 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV242 @ SV737 @ ( tc_fun @ SY2933 @ tc_bool ) ) @ ( tc_fun @ SY2933 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2009]) ).
thf(2523,plain,
! [SV738: $i,SV243: $i] :
( ( ! [SY2934: $i,SY2935: $i] :
( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV243 @ SV738 @ ( tc_fun @ SY2934 @ tc_bool ) ) @ SY2935 @ ( tc_fun @ SY2934 @ tc_bool ) )
| ~ ( c_lessequals @ SV738 @ SY2935 @ ( tc_fun @ SY2934 @ tc_bool ) )
| ~ ( c_lessequals @ SV243 @ SY2935 @ ( tc_fun @ SY2934 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2010]) ).
thf(2524,plain,
! [SV739: $i,SV244: $i] :
( ( ! [SY2936: $i,SY2937: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV244 )
| ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV739 @ SY2936 @ SV244 ) @ SY2937 @ SV244 )
| ~ ( c_lessequals @ SY2936 @ SY2937 @ SV244 )
| ~ ( c_lessequals @ SV739 @ SY2937 @ SV244 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2011]) ).
thf(2525,plain,
! [SV740: $i,SV245: $i] :
( ( ! [SY2938: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV245 )
| ( c_lessequals @ SV740 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV740 @ SY2938 @ SV245 ) @ SV245 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2012]) ).
thf(2526,plain,
! [SV741: $i,SV246: $i] :
( ( ! [SY2939: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV246 )
| ( c_lessequals @ SV741 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2939 @ SV741 @ SV246 ) @ SV246 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2013]) ).
thf(2527,plain,
! [SV742: $i,SV247: $i] :
( ( ! [SY2940: $i,SY2941: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV247 )
| ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV742 @ SY2940 @ SV247 ) @ SY2941 @ SV247 )
| ~ ( c_lessequals @ SY2940 @ SY2941 @ SV247 )
| ~ ( c_lessequals @ SV742 @ SY2941 @ SV247 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2014]) ).
thf(2528,plain,
! [SV743: $i,SV248: $i] :
( ( ! [SY2942: $i,SY2943: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV248 )
| ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV743 @ SY2942 @ SV248 ) @ SY2943 @ SV248 )
| ~ ( c_lessequals @ SY2942 @ SY2943 @ SV248 )
| ~ ( c_lessequals @ SV743 @ SY2943 @ SV248 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2015]) ).
thf(2529,plain,
! [SV744: $i,SV249: $i] :
( ( ! [SY2944: $i] :
( ~ ( class_Lattices_Olattice @ SV249 )
| ( c_lessequals @ SV744 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2944 @ SV744 @ SV249 ) @ SV249 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2016]) ).
thf(2530,plain,
! [SV745: $i,SV250: $i] :
( ( ! [SY2945: $i] :
( ~ ( class_Lattices_Olattice @ SV250 )
| ( c_lessequals @ SV745 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV745 @ SY2945 @ SV250 ) @ SV250 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2017]) ).
thf(2531,plain,
! [SV746: $i,SV251: $i] :
( ( ! [SY2946: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ SV251 @ SV746 @ ( tc_fun @ SY2946 @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV746 @ SV251 @ ( tc_fun @ SY2946 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2018]) ).
thf(2532,plain,
! [SV747: $i,SV252: $i] :
( ( ! [SY2947: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV252 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV747 @ SY2947 @ SV252 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SY2947 @ SV747 @ SV252 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2019]) ).
thf(2533,plain,
! [SV748: $i,SV253: $i] :
( ( ! [SY2948: $i] :
( ~ ( class_Lattices_Olattice @ SV253 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV748 @ SY2948 @ SV253 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SY2948 @ SV748 @ SV253 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2020]) ).
thf(2534,plain,
! [SV749: $i,SV254: $i] :
( ( ( c_lessequals @ ( c_Message_Oparts @ SV254 ) @ ( c_Message_Oparts @ SV749 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ SV254 @ ( c_Message_Oparts @ SV749 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2021]) ).
thf(2535,plain,
! [SV750: $i,SV255: $i] :
( ( ( c_lessequals @ SV255 @ ( c_Message_Oparts @ SV750 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oparts @ SV255 ) @ ( c_Message_Oparts @ SV750 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2022]) ).
thf(2536,plain,
! [SV751: $i,SV256: $i] :
( ( ! [SY2949: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ SV256 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV256 @ SV751 @ ( tc_fun @ SY2949 @ tc_bool ) ) @ ( tc_fun @ SY2949 @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV256 @ SV751 @ ( tc_fun @ SY2949 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2023]) ).
thf(2537,plain,
! [SV752: $i,SV257: $i] :
( ( ! [SY2950: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV257 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV752 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV752 @ SY2950 @ SV257 ) @ SV257 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV752 @ SY2950 @ SV257 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2024]) ).
thf(2538,plain,
! [SV753: $i,SV258: $i] :
( ( ! [SY2951: $i] :
( ~ ( class_Lattices_Olattice @ SV258 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV753 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV753 @ SY2951 @ SV258 ) @ SV258 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV753 @ SY2951 @ SV258 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2025]) ).
thf(2539,plain,
! [SV754: $i,SV259: $i] :
( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV259 ) @ SV754 ) @ c_Message_OsymKeys @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2026]) ).
thf(2540,plain,
! [SV755: $i,SV260: $i] :
( ( ! [SY2952: $i,SY2953: $i,SY2954: $i] :
( ( c_Set_Oinsert @ ( hAPP @ SV260 @ SV755 ) @ ( c_Set_Oimage @ SV260 @ SY2952 @ SY2953 @ SY2954 ) @ SY2954 )
= ( c_Set_Oimage @ SV260 @ ( c_Set_Oinsert @ SV755 @ SY2952 @ SY2953 ) @ SY2953 @ SY2954 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2027]) ).
thf(2541,plain,
! [SV756: $i,SV261: $i] :
( ( ! [SY2955: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ SV261 ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV756 ) @ SY2955 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2028]) ).
thf(2542,plain,
! [SV757: $i,SV262: $i] :
( ( ! [SY2956: $i,SY2957: $i,SY2958: $i] :
( ~ ( class_HOL_Oord @ SV262 )
| ( c_lessequals @ ( hAPP @ SV757 @ SY2956 ) @ ( hAPP @ SY2957 @ SY2956 ) @ SV262 )
| ~ ( c_lessequals @ SV757 @ SY2957 @ ( tc_fun @ SY2958 @ SV262 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2029]) ).
thf(2543,plain,
! [SV758: $i,SV263: $i] :
( ( ~ ( hBOOL @ ( c_in @ SV263 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV263 ) @ ( c_Event_Oused @ SV758 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2030]) ).
thf(2544,plain,
! [SV759: $i,SV264: $i] :
( ( ! [SY2959: $i,SY2960: $i] :
( ( hBOOL @ ( c_in @ SV264 @ SV759 @ SY2959 ) )
| ~ ( hBOOL @ ( c_in @ SV264 @ SY2960 @ SY2959 ) )
| ~ ( c_lessequals @ SY2960 @ SV759 @ ( tc_fun @ SY2959 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2031]) ).
thf(2545,plain,
! [SV760: $i,SV265: $i] :
( ( ! [SY2961: $i,SY2962: $i] :
( ( hBOOL @ ( c_in @ SV265 @ SV760 @ SY2961 ) )
| ~ ( c_lessequals @ SY2962 @ SV760 @ ( tc_fun @ SY2961 @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV265 @ SY2962 @ SY2961 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2032]) ).
thf(2546,plain,
! [SV761: $i,SV266: $i] :
( ( ! [SY2963: $i,SY2964: $i] :
( ( hBOOL @ ( c_in @ SV266 @ SV761 @ SY2963 ) )
| ~ ( hBOOL @ ( c_in @ SV266 @ SY2964 @ SY2963 ) )
| ~ ( c_lessequals @ SY2964 @ SV761 @ ( tc_fun @ SY2963 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2033]) ).
thf(2547,plain,
! [SV762: $i,SV267: $i] :
( ( ! [SY2965: $i,SY2966: $i] :
( ( hBOOL @ ( c_in @ SV267 @ SV762 @ SY2965 ) )
| ~ ( hBOOL @ ( c_in @ SV267 @ SY2966 @ SY2965 ) )
| ~ ( c_lessequals @ SY2966 @ SV762 @ ( tc_fun @ SY2965 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2034]) ).
thf(2548,plain,
! [SV763: $i,SV268: $i] :
( ( ! [SY2967: $i,SY2968: $i] :
( ( hBOOL @ ( c_in @ SV268 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV763 @ SY2967 @ ( tc_fun @ SY2968 @ tc_bool ) ) @ SY2968 ) )
| ~ ( hBOOL @ ( c_in @ SV268 @ SV763 @ SY2968 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2035]) ).
thf(2549,plain,
! [SV764: $i,SV269: $i] :
( ( ! [SY2969: $i,SY2970: $i] :
( ( hBOOL @ ( c_in @ SV269 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV764 @ SY2969 @ ( tc_fun @ SY2970 @ tc_bool ) ) @ SY2970 ) )
| ~ ( hBOOL @ ( c_in @ SV269 @ SY2969 @ SY2970 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2036]) ).
thf(2550,plain,
! [SV765: $i,SV270: $i] :
( ( ! [SY2971: $i,SY2972: $i] :
( ( hBOOL @ ( c_in @ SV270 @ SV765 @ SY2971 ) )
| ( hBOOL @ ( c_in @ SV270 @ SY2972 @ SY2971 ) )
| ~ ( hBOOL @ ( c_in @ SV270 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2972 @ SV765 @ ( tc_fun @ SY2971 @ tc_bool ) ) @ SY2971 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2037]) ).
thf(2551,plain,
! [SV766: $i,SV271: $i] :
( ( hBOOL @ ( c_in @ SV271 @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SV766 @ tc_bool ) ) @ SV766 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2038]) ).
thf(2552,plain,
! [SV767: $i,SV272: $i] :
( ( ! [SY2973: $i,SY2974: $i,SY2975: $i] :
( ~ ( hBOOL @ ( c_in @ SV272 @ SV767 @ SY2973 ) )
| ( hBOOL @ ( c_in @ ( hAPP @ SY2974 @ SV272 ) @ ( c_Set_Oimage @ SY2974 @ SV767 @ SY2973 @ SY2975 ) @ SY2975 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2039]) ).
thf(2553,plain,
! [SV768: $i,SV273: $i] :
( ( ! [SY2976: $i,SY2977: $i,SY2978: $i] :
( ~ ( hBOOL @ ( c_in @ SV273 @ SV768 @ SY2976 ) )
| ( hBOOL @ ( c_in @ ( hAPP @ SY2977 @ SV273 ) @ ( c_Set_Oimage @ SY2977 @ SV768 @ SY2976 @ SY2978 ) @ SY2978 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2040]) ).
thf(2554,plain,
! [SV769: $i,SV274: $i] :
( ( ! [SY2979: $i,SY2980: $i,SY2981: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ SV274 @ SV769 ) @ ( c_Set_Oimage @ SV274 @ SY2979 @ SY2980 @ SY2981 ) @ SY2981 ) )
| ~ ( hBOOL @ ( c_in @ SV769 @ SY2979 @ SY2980 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2041]) ).
thf(2555,plain,
! [SV770: $i,SV275: $i] :
( ( ! [SY2982: $i,SY2983: $i,SY2984: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ SV275 @ SV770 ) @ ( c_Set_Oimage @ SV275 @ SY2982 @ SY2983 @ SY2984 ) @ SY2984 ) )
| ~ ( hBOOL @ ( c_in @ SV770 @ SY2982 @ SY2983 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2042]) ).
thf(2556,plain,
! [SV771: $i,SV276: $i] :
( ( ( c_lessequals @ ( c_Message_Oanalz @ SV276 ) @ ( c_Message_Oanalz @ SV771 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ SV276 @ SV771 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2043]) ).
thf(2557,plain,
! [SV772: $i,SV277: $i] :
( ( ( c_lessequals @ ( c_Message_Oanalz @ SV277 ) @ ( c_Message_Oanalz @ SV772 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ SV277 @ ( c_Message_Oanalz @ SV772 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2044]) ).
thf(2558,plain,
! [SV773: $i,SV278: $i] :
( ( ( c_lessequals @ SV278 @ ( c_Message_Oanalz @ SV773 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oanalz @ SV278 ) @ ( c_Message_Oanalz @ SV773 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2045]) ).
thf(2559,plain,
! [SV774: $i,SV280: $i] :
( ( ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oanalz @ SV280 ) @ SV774 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV280 @ SV774 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2047]) ).
thf(2560,plain,
! [SV775: $i,SV282: $i] :
( ( ( c_lessequals @ ( c_Message_Osynth @ SV282 ) @ ( c_Message_Osynth @ SV775 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ SV282 @ SV775 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2049]) ).
thf(2561,plain,
! [SV776: $i,SV283: $i] :
( ( ( c_lessequals @ ( c_Message_Osynth @ SV283 ) @ ( c_Message_Osynth @ SV776 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ SV283 @ ( c_Message_Osynth @ SV776 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2050]) ).
thf(2562,plain,
! [SV777: $i,SV284: $i] :
( ( ( c_lessequals @ SV284 @ ( c_Message_Osynth @ SV777 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Osynth @ SV284 ) @ ( c_Message_Osynth @ SV777 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2051]) ).
thf(2563,plain,
! [SV778: $i,SV285: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ SV285 ) @ ( c_Set_Oimage @ c_Public_OshrK @ SV778 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV285 @ SV778 @ tc_Message_Oagent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2052]) ).
thf(2564,plain,
! [SV779: $i,SV286: $i] :
( ( ( hBOOL @ ( c_in @ SV286 @ SV779 @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ SV286 ) @ ( c_Set_Oimage @ c_Public_OshrK @ SV779 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2053]) ).
thf(2565,plain,
! [SV780: $i,SV287: $i] :
( ( ! [SY2985: $i,SY2986: $i,SY2987: $i,SY2988: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV287 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV287 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV780 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2985 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2986 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY2985 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2986 ) @ ( c_Message_Omsg_OAgent @ SV287 ) ) ) ) ) ) ) ) @ SY2987 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY2988 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV287 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2985 ) @ ( c_Message_Omsg_ONonce @ SV780 ) ) ) ) @ ( c_List_Oset @ SY2987 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SY2986 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SY2986 ) @ ( c_Event_Oused @ SY2987 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SY2987 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2054]) ).
thf(2566,plain,
! [SV781: $i,SV288: $i] :
( ( ! [SY2989: $i,SY2990: $i,SY2991: $i,SY2992: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV288 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV288 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV781 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2989 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2990 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY2989 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2990 ) @ ( c_Message_Omsg_OAgent @ SV288 ) ) ) ) ) ) ) ) @ SY2991 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY2992 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV288 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2989 ) @ ( c_Message_Omsg_ONonce @ SV781 ) ) ) ) @ ( c_List_Oset @ SY2991 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SY2990 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SY2990 ) @ ( c_Event_Oused @ SY2991 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY2991 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2055]) ).
thf(2567,plain,
! [SV782: $i,SV289: $i] :
( ( ! [SY2993: $i] :
( ( hBOOL @ ( c_in @ SV289 @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV782 ) ) @ ( c_Message_Oparts @ SV782 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY2993 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV782 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV289 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SY2993 @ SV782 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2056]) ).
thf(2568,plain,
! [SV783: $i,SV290: $i] :
( ( ! [SY2994: $i,SY2995: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV290 ) @ ( c_Message_Oanalz @ SV783 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV290 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SY2994 @ SV783 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SY2995 @ SV783 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SY2994 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY2995 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2057]) ).
thf(2569,plain,
! [SV784: $i,SV291: $i] :
( ( ! [SY2996: $i,SY2997: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV291 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV784 @ SY2996 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV291 ) @ ( c_Message_Oanalz @ SY2996 ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SY2997 @ SY2996 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV784 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY2997 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2058]) ).
thf(2570,plain,
! [SV785: $i,SV292: $i] :
( ( ! [SY2998: $i,SY2999: $i,SY3000: $i,SY3001: $i,SY3002: $i] :
( ( hBOOL @ ( c_in @ SV292 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV785 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY2998 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV785 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY2999 @ SY3000 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3000 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3001 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3002 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2998 ) @ SV292 ) ) ) ) ) @ ( c_List_Oset @ SV785 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2059]) ).
thf(2571,plain,
! [SV786: $i,SV293: $i] :
( ( ! [SY3003: $i,SY3004: $i,SY3005: $i,SY3006: $i,SY3007: $i,SY3008: $i,SY3009: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV293 @ SV786 @ ( c_Message_Omsg_OCrypt @ SY3003 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3004 ) @ ( c_Message_Omsg_ONonce @ SY3004 ) ) ) ) @ SY3005 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3006 @ SV293 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV293 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3007 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV786 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3003 ) @ SY3008 ) ) ) ) ) @ ( c_List_Oset @ SY3005 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3009 @ SV293 @ ( c_Message_Omsg_OCrypt @ SY3003 @ ( c_Message_Omsg_ONonce @ SY3004 ) ) ) @ ( c_List_Oset @ SY3005 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SY3003 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SY3005 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2060]) ).
thf(2572,plain,
! [SV787: $i,SV294: $i] :
( ( ! [SY3010: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV294 @ SV787 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV787 @ SY3010 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV294 @ SV787 ) @ SY3010 @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV294 ) ) @ ( c_Message_Oanalz @ SY3010 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2061]) ).
thf(2573,plain,
! [SV788: $i,SV295: $i] :
( ( ! [SY3011: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV295 @ SV788 ) @ SY3011 @ tc_Message_Omsg ) ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV295 @ SV788 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV788 @ SY3011 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV295 ) ) @ ( c_Message_Oanalz @ SY3011 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2062]) ).
thf(2574,plain,
! [SV789: $i,SV296: $i] :
( ( ! [SY3012: $i,SY3013: $i,SY3014: $i,SY3015: $i,SY3016: $i,SY3017: $i,SY3018: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV296 @ SV789 @ ( c_Message_Omsg_OCrypt @ SY3012 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3013 ) @ ( c_Message_Omsg_ONonce @ SY3013 ) ) ) ) @ SY3014 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3015 @ SV296 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV296 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3016 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV789 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3012 ) @ SY3017 ) ) ) ) ) @ ( c_List_Oset @ SY3014 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3018 @ SV296 @ ( c_Message_Omsg_OCrypt @ SY3012 @ ( c_Message_Omsg_ONonce @ SY3013 ) ) ) @ ( c_List_Oset @ SY3014 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SY3012 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SY3014 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2063]) ).
thf(2575,plain,
! [SV790: $i,SV297: $i] :
( ( ! [SY3019: $i,SY3020: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV297 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV297 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV790 ) @ ( c_Message_Omsg_ONonce @ SY3019 ) ) ) ) @ SY3020 @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SY3019 ) @ ( c_Event_Oused @ SY3020 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SY3020 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2064]) ).
thf(2576,plain,
! [SV791: $i,SV298: $i] :
( ( ! [SY3021: $i,SY3022: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV298 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV298 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV791 ) @ ( c_Message_Omsg_ONonce @ SY3021 ) ) ) ) @ SY3022 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SY3021 ) @ ( c_Event_Oused @ SY3022 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY3022 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2065]) ).
thf(2577,plain,
! [SV792: $i,SV299: $i] :
( ( ! [SY3023: $i,SY3024: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV299 @ SV792 @ SY3023 ) @ SY3024 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SY3023 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY3024 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2066]) ).
thf(2578,plain,
! [SV793: $i,SV300: $i] :
( ( ! [SY3025: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ ( c_Public_OpublicKey @ SV300 ) @ SV793 ) ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY3025 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2067]) ).
thf(2579,plain,
! [SV794: $i,SV301: $i] :
( ( ! [SY3026: $i] :
( ( hBOOL @ ( c_in @ SV301 @ ( c_Message_Oanalz @ SV794 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SY3026 ) ) @ ( c_Message_Oanalz @ SV794 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SY3026 @ SV301 ) @ ( c_Message_Oanalz @ SV794 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2068]) ).
thf(2580,plain,
! [SV795: $i,SV302: $i] :
( ( ! [SY3027: $i] :
( ( c_Event_Oknows @ SV302 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV302 @ SV795 ) @ SY3027 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV795 @ ( c_Event_Oknows @ SV302 @ SY3027 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2069]) ).
thf(2581,plain,
! [SV796: $i,SV303: $i] :
( ( ! [SY3028: $i,SY3029: $i] :
( ( c_Event_Oknows @ SV303 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV303 @ SV796 @ SY3028 ) @ SY3029 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SY3028 @ ( c_Event_Oknows @ SV303 @ SY3029 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2070]) ).
thf(2582,plain,
! [SV797: $i,SV304: $i] :
( ( ! [SY3030: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV304 @ SV797 ) @ SY3030 @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY3030 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2071]) ).
thf(2583,plain,
! [SV798: $i,SV305: $i] :
( ( ! [SY3031: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV305 ) @ SV798 ) ) ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY3031 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV798 @ c_Event_Obad @ tc_Message_Oagent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2072]) ).
thf(2584,plain,
! [SV799: $i,SV306: $i] :
( ( ( ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV306 @ SV799 @ tc_Message_Omsg ) ) )
= ( c_Message_Osynth @ ( c_Message_Oanalz @ SV799 ) ) )
| ~ ( hBOOL @ ( c_in @ SV306 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV799 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2073]) ).
thf(2585,plain,
! [SV800: $i,SV307: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ SV307 ) @ SV800 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ SV307 ) @ ( c_Message_Oanalz @ SV800 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2074]) ).
thf(2586,plain,
! [SV801: $i,SV308: $i] :
( ( ! [SY3032: $i] :
( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV308 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ SV801 ) @ SY3032 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ SV801 ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV308 ) @ SY3032 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2075]) ).
thf(2587,plain,
! [SV802: $i,SV309: $i] :
( ( ! [SY3033: $i,SY3034: $i] :
( ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV309 @ SV802 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ SY3033 ) @ SY3034 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ SY3033 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV309 @ SV802 ) @ SY3034 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2076]) ).
thf(2588,plain,
! [SV803: $i,SV310: $i] :
( ( ! [SY3035: $i,SY3036: $i] :
( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV310 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV803 @ SY3035 ) @ SY3036 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV803 @ SY3035 ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV310 ) @ SY3036 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2077]) ).
thf(2589,plain,
! [SV804: $i,SV311: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV311 ) @ SV804 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV311 ) @ ( c_Message_Osynth @ SV804 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2078]) ).
thf(2590,plain,
! [SV805: $i,SV312: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV312 ) @ SV805 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV312 ) @ ( c_Message_Osynth @ SV805 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2079]) ).
thf(2591,plain,
! [SV806: $i,SV313: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV313 ) @ ( c_Message_Osynth @ SV806 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV313 ) @ SV806 @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2080]) ).
thf(2592,plain,
! [SV807: $i,SV314: $i] :
( ( ! [SY3037: $i] :
( ( hBOOL @ ( c_in @ SV314 @ ( c_Message_Osynth @ SV807 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY3037 @ ( c_Message_Osynth @ SV807 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV314 @ ( c_Message_Osynth @ ( c_Set_Oinsert @ SY3037 @ SV807 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2081]) ).
thf(2593,plain,
! [SV808: $i,SV315: $i] :
( ( ! [SY3038: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV315 @ SV808 ) @ SY3038 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV315 @ SV808 ) @ ( c_Message_Oanalz @ SY3038 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV315 ) ) @ ( c_Message_Oanalz @ SY3038 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2082]) ).
thf(2594,plain,
! [SV809: $i,SV316: $i] :
( ( ! [SY3039: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV316 @ SV809 ) @ SY3039 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV316 @ SV809 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV809 @ SY3039 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV316 ) ) @ ( c_Message_Oanalz @ SY3039 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2083]) ).
thf(2595,plain,
! [SV810: $i,SV317: $i] :
( ( ! [SY3040: $i,SY3041: $i] :
( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV317 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV810 @ SY3040 ) @ SY3041 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV810 @ SY3040 ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV317 ) @ SY3041 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2084]) ).
thf(2596,plain,
! [SV811: $i,SV318: $i] :
( ( ! [SY3042: $i] :
( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV318 @ SV811 ) @ SY3042 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV318 @ SV811 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV318 @ ( c_Set_Oinsert @ SV811 @ SY3042 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2085]) ).
thf(2597,plain,
! [SV812: $i,SV319: $i] :
( ( ( hBOOL @ ( c_in @ SV319 @ ( c_Message_Oparts @ SV812 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV319 @ ( c_Message_Oanalz @ SV812 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2086]) ).
thf(2598,plain,
! [SV813: $i,SV320: $i] :
( ( ( hBOOL @ ( c_in @ SV320 @ ( c_Message_Oparts @ SV813 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV320 @ ( c_Message_Oanalz @ SV813 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2087]) ).
thf(2599,plain,
! [SV814: $i,SV321: $i] :
( ( ~ ( hBOOL @ ( c_in @ SV321 @ ( c_Message_Oanalz @ SV814 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV321 @ ( c_Message_Oparts @ SV814 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2088]) ).
thf(2600,plain,
! [SV815: $i,SV322: $i] :
( ( ! [SY3043: $i] :
( ( hBOOL @ ( c_in @ SV322 @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV815 @ SY3043 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV322 @ ( c_Message_Oanalz @ SY3043 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2089]) ).
thf(2601,plain,
! [SV816: $i,SV323: $i] :
( ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV323 @ SV816 @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ SV816 ) )
| ~ ( hBOOL @ ( c_in @ SV323 @ ( c_Message_Oanalz @ SV816 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2090]) ).
thf(2602,plain,
! [SV817: $i,SV324: $i] :
( ( ! [SY3044: $i] :
( ( hBOOL @ ( c_in @ SV324 @ ( c_Message_Oanalz @ SV817 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY3044 @ ( c_Message_Oanalz @ SV817 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV324 @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SY3044 @ SV817 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2091]) ).
thf(2603,plain,
! [SV818: $i,SV325: $i] :
( ( ! [SY3045: $i,SY3046: $i,SY3047: $i] :
( ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV325 @ SV818 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SY3045 @ SY3046 ) @ SY3047 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SY3045 @ SY3046 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV325 @ SV818 ) @ SY3047 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2092]) ).
thf(2604,plain,
! [SV819: $i,SV326: $i] :
( ( ! [SY3048: $i] :
( ( hBOOL @ ( c_in @ SV326 @ ( c_Message_Oparts @ SV819 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SY3048 @ SV326 ) @ ( c_Message_Oparts @ SV819 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2093]) ).
thf(2605,plain,
! [SV820: $i,SV327: $i] :
( ( ! [SY3049: $i] :
( ( hBOOL @ ( c_in @ SV327 @ ( c_Message_Oparts @ SV820 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV327 @ SY3049 ) @ ( c_Message_Oparts @ SV820 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2094]) ).
thf(2606,plain,
! [SV821: $i,SV328: $i] :
( ( ! [SY3050: $i] :
( ( hBOOL @ ( c_in @ SV328 @ ( c_Message_Oparts @ SV821 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SY3050 @ SV328 ) @ ( c_Message_Oparts @ SV821 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2095]) ).
thf(2607,plain,
! [SV822: $i,SV329: $i] :
( ( ! [SY3051: $i] :
( ( c_List_Oset @ ( c_List_Olist_OCons @ SV329 @ SV822 @ SY3051 ) @ SY3051 )
= ( c_Set_Oinsert @ SV329 @ ( c_List_Oset @ SV822 @ SY3051 ) @ SY3051 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2096]) ).
thf(2608,plain,
! [SV823: $i,SV330: $i] :
( ( ! [SY3052: $i] :
( ( ( c_Event_Oknows @ SV330 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV330 @ SV823 ) @ SY3052 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV823 @ ( c_Event_Oknows @ SV330 @ SY3052 ) @ tc_Message_Omsg ) )
| ( SV330 = c_Message_Oagent_OSpy ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2097]) ).
thf(2609,plain,
! [SV824: $i,SV334: $i] :
( ( ( hBOOL @ ( c_in @ SV334 @ ( c_Message_Oparts @ SV824 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV334 @ ( c_Message_Oparts @ ( c_Message_Oparts @ SV824 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2101]) ).
thf(2610,plain,
! [SV825: $i,SV335: $i] :
( ( ( hBOOL @ ( c_in @ SV335 @ ( c_Message_Oparts @ SV825 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV335 @ SV825 @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2102]) ).
thf(2611,plain,
! [SV826: $i,SV336: $i] :
( ( ! [SY3053: $i] :
( ( ( c_Set_Oinsert @ SV336 @ SV826 @ SY3053 )
= SV826 )
| ~ ( hBOOL @ ( c_in @ SV336 @ SV826 @ SY3053 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2103]) ).
thf(2612,plain,
! [SV827: $i,SV337: $i] :
( ( ! [SY3054: $i] : ( hBOOL @ ( c_in @ SV337 @ ( c_Set_Oinsert @ SV337 @ SV827 @ SY3054 ) @ SY3054 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2104]) ).
thf(2613,plain,
! [SV828: $i,SV338: $i] :
( ( ! [SY3055: $i] : ( hBOOL @ ( c_in @ SV338 @ ( c_Set_Oinsert @ SV338 @ SV828 @ SY3055 ) @ SY3055 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2105]) ).
thf(2614,plain,
! [SV829: $i,SV339: $i] :
( ( ! [SY3056: $i] : ( hBOOL @ ( c_in @ SV339 @ ( c_Set_Oinsert @ SV339 @ SV829 @ SY3056 ) @ SY3056 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2106]) ).
thf(2615,plain,
! [SV830: $i,SV340: $i] :
( ( ! [SY3057: $i,SY3058: $i] :
( ( hBOOL @ ( c_in @ SV340 @ SV830 @ SY3057 ) )
| ( SV340 = SY3058 )
| ~ ( hBOOL @ ( c_in @ SV340 @ ( c_Set_Oinsert @ SY3058 @ SV830 @ SY3057 ) @ SY3057 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2107]) ).
thf(2616,plain,
! [SV831: $i,SV341: $i] :
( ( ! [SY3059: $i,SY3060: $i] :
( ( hBOOL @ ( c_in @ SV341 @ ( c_Set_Oinsert @ SV831 @ SY3059 @ SY3060 ) @ SY3060 ) )
| ~ ( hBOOL @ ( c_in @ SV341 @ SY3059 @ SY3060 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2108]) ).
thf(2617,plain,
! [SV832: $i,SV342: $i] :
( ( ! [SY3061: $i,SY3062: $i] :
( ( hBOOL @ ( c_in @ SV342 @ ( c_Set_Oinsert @ SV832 @ SY3061 @ SY3062 ) @ SY3062 ) )
| ~ ( hBOOL @ ( c_in @ SV342 @ SY3061 @ SY3062 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2109]) ).
thf(2618,plain,
! [SV833: $i,SV343: $i] :
( ( ! [SY3063: $i,SY3064: $i] :
( ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV343 @ SV833 @ SY3063 ) @ SY3064 ) )
| ~ ( hBOOL @ ( hAPP @ SV833 @ SY3064 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2110]) ).
thf(2619,plain,
! [SV834: $i,SV344: $i] :
( ( ! [SY3065: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV344 @ SV834 ) @ SY3065 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV344 @ SV834 ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV834 @ SY3065 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2111]) ).
thf(2620,plain,
! [SV835: $i,SV345: $i] :
( ( ! [SY3066: $i] :
( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV345 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ SV835 ) @ SY3066 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ SV835 ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV345 ) @ SY3066 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2112]) ).
thf(2621,plain,
! [SV836: $i,SV346: $i] :
( ( ! [SY3067: $i,SY3068: $i] :
( ( c_Set_Oinsert @ SV346 @ ( c_Set_Oinsert @ SV836 @ SY3067 @ SY3068 ) @ SY3068 )
= ( c_Set_Oinsert @ SV836 @ ( c_Set_Oinsert @ SV346 @ SY3067 @ SY3068 ) @ SY3068 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2113]) ).
thf(2622,plain,
! [SV837: $i,SV347: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ SV347 ) @ SV837 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ SV347 ) @ ( c_Message_Oanalz @ SV837 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2114]) ).
thf(2623,plain,
! [SV838: $i,SV348: $i] :
( ( ! [SY3069: $i] :
( ( c_Set_Oinsert @ SV348 @ ( c_Set_Oinsert @ SV348 @ SV838 @ SY3069 ) @ SY3069 )
= ( c_Set_Oinsert @ SV348 @ SV838 @ SY3069 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2115]) ).
thf(2624,plain,
! [SV839: $i,SV349: $i] :
( ( ! [SY3070: $i,SY3071: $i] :
( ( hBOOL @ ( hAPP @ SV349 @ SV839 ) )
| ( SY3070 = SV839 )
| ~ ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SY3070 @ SV349 @ SY3071 ) @ SV839 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2116]) ).
thf(2625,plain,
! [SV840: $i,SV350: $i] :
( ( ! [SY3072: $i,SY3073: $i] :
( ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV350 @ SV840 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ SY3072 ) @ SY3073 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ SY3072 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV350 @ SV840 ) @ SY3073 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2117]) ).
thf(2626,plain,
! [SV841: $i,SV351: $i] :
( ( ! [SY3074: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV351 @ SV841 ) @ SY3074 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV351 @ SV841 ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV351 @ ( c_Set_Oinsert @ SV841 @ SY3074 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2118]) ).
thf(2627,plain,
! [SV842: $i,SV352: $i] :
( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ SV352 ) @ SV842 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ SV352 ) @ ( c_Message_Oparts @ SV842 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2119]) ).
thf(2628,plain,
! [SV843: $i,SV354: $i] :
( ( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ SV354 @ SV843 @ tc_Message_Omsg ) )
= ( c_Message_Oparts @ SV843 ) )
| ~ ( hBOOL @ ( c_in @ SV354 @ ( c_Message_Oparts @ SV843 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2121]) ).
thf(2629,plain,
! [SV844: $i,SV355: $i] :
( ( ! [SY3075: $i] : ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV355 @ SV844 @ SY3075 ) @ SV355 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2122]) ).
thf(2630,plain,
! [SV845: $i,SV357: $i] :
( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ SV357 ) @ SV845 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ SV357 ) @ ( c_Message_Oparts @ SV845 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2124]) ).
thf(2631,plain,
! [SV846: $i,SV358: $i] :
( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV358 ) @ SV846 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV358 ) @ ( c_Message_Oparts @ SV846 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2125]) ).
thf(2632,plain,
! [SV847: $i,SV359: $i] :
( ( ! [SY3076: $i] :
( ( hBOOL @ ( c_in @ SV359 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV847 @ SY3076 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV359 @ ( c_Message_Oparts @ SY3076 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2126]) ).
thf(2633,plain,
! [SV848: $i,SV360: $i] :
( ( ! [SY3077: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV360 @ SV848 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY3077 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV848 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY3077 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV360 ) ) @ ( c_Message_Oanalz @ SY3077 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV360 ) @ ( c_Message_Oanalz @ SY3077 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2127]) ).
thf(2634,plain,
! [SV849: $i,SV361: $i] :
( ( ! [SY3078: $i] :
( ( hBOOL @ ( c_in @ SV361 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV849 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SY3078 @ SV361 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV849 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SY3078 ) ) @ ( c_Message_Oanalz @ SV849 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SY3078 ) @ ( c_Message_Oanalz @ SV849 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2128]) ).
thf(2635,plain,
! [SV850: $i,SV362: $i] :
( ( ! [SY3079: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ ( c_Public_OpublicKey @ SV362 ) @ SV850 ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY3079 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2129]) ).
thf(2636,plain,
! [SV851: $i,SV363: $i] :
( ( ! [SY3080: $i,SY3081: $i] :
( ~ ( hBOOL @ ( c_in @ SV363 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV851 ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV363 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SY3080 @ SY3081 ) @ SV851 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2130]) ).
thf(2637,plain,
! [SV852: $i,SV364: $i] :
( ( ! [SY3082: $i] :
( ( hBOOL @ ( c_in @ SV364 @ ( c_Event_Oknows @ SV852 @ SY3082 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OGets @ SV852 @ SV364 ) @ ( c_List_Oset @ SY3082 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV852 = c_Message_Oagent_OSpy ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2131]) ).
thf(2638,plain,
! [SV853: $i,SV365: $i] :
( ( ! [SY3083: $i,SY3084: $i,SY3085: $i,SY3086: $i,SY3087: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV365 @ SV853 @ SY3083 ) @ SY3084 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV365 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV365 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV853 ) @ ( c_Message_Omsg_ONonce @ SY3085 ) ) ) ) @ ( c_List_Oset @ SY3084 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3086 @ SV365 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV365 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3085 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV853 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3087 ) @ SY3083 ) ) ) ) ) @ ( c_List_Oset @ SY3084 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV365 = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SY3084 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2132]) ).
thf(2639,plain,
! [SV854: $i,SV366: $i] :
( ( ! [SY3088: $i,SY3089: $i] :
( ( hBOOL @ ( c_in @ SV366 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV854 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3088 @ SY3089 @ SV366 ) @ ( c_List_Oset @ SV854 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2133]) ).
thf(2640,plain,
! [SV855: $i,SV367: $i] :
( ( ! [SY3090: $i,SY3091: $i,SY3092: $i,SY3093: $i,SY3094: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV367 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV855 ) @ ( hAPP @ c_Message_Omsg_OKey @ SY3090 ) ) ) ) @ SY3091 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3092 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3092 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV367 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3093 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3090 ) @ SY3094 ) ) ) ) ) @ ( c_List_Oset @ SY3091 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3093 @ SY3092 @ ( c_Message_Omsg_OCrypt @ SY3090 @ ( c_Message_Omsg_ONonce @ SV855 ) ) ) @ ( c_List_Oset @ SY3091 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SY3091 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2134]) ).
thf(2641,plain,
! [SV856: $i,SV368: $i] :
( ( ! [SY3095: $i] :
( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV368 @ SV856 ) @ SY3095 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV856 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY3095 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV368 @ c_Event_Obad @ tc_Message_Oagent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2135]) ).
thf(2642,plain,
! [SV857: $i,SV369: $i] :
( ( ! [SY3096: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ SV369 @ SV857 ) @ SY3096 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ SV857 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY3096 ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SY3096 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2136]) ).
thf(2643,plain,
! [SV858: $i,SV370: $i] :
( ( ! [SY3097: $i,SY3098: $i,SY3099: $i,SY3100: $i,SY3101: $i,SY3102: $i] :
( ( hBOOL @ ( c_in @ SV370 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV858 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3097 @ SY3098 @ ( c_Message_Omsg_OCrypt @ SY3099 @ ( c_Message_Omsg_OMPair @ SY3100 @ ( c_Message_Omsg_OMPair @ SY3101 @ ( c_Message_Omsg_OMPair @ SY3102 @ SV370 ) ) ) ) ) @ ( c_List_Oset @ SV858 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2137]) ).
thf(2644,plain,
! [SV859: $i,SV371: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV371 ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV859 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV371 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ SV859 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2138]) ).
thf(2645,plain,
! [SV860: $i,SV372: $i] :
( ( ( hBOOL @ ( c_in @ SV372 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV372 ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV860 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV860 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2139]) ).
thf(2646,plain,
! [SV861: $i,SV373: $i] :
( ( ! [SY3103: $i,SY3104: $i,SY3105: $i,SY3106: $i] :
( ( hBOOL @ ( c_in @ SV373 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV861 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3103 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3103 ) @ ( c_Message_Omsg_OMPair @ SY3104 @ ( c_Message_Omsg_OMPair @ SY3105 @ ( c_Message_Omsg_OMPair @ SV373 @ SY3106 ) ) ) ) ) @ ( c_List_Oset @ SV861 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2140]) ).
thf(2647,plain,
! [SV862: $i,SV374: $i] :
( ( ! [SY3107: $i,SY3108: $i,SY3109: $i,SY3110: $i] :
( ( SV374
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV862 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3107 ) @ ( c_Message_Omsg_OAgent @ SY3108 ) ) ) )
| ~ ( hBOOL @ ( c_in @ SY3109 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SY3108 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3108 ) @ ( c_Message_Omsg_OMPair @ SY3110 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV862 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3107 ) @ SV374 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY3109 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2141]) ).
thf(2648,plain,
! [SV863: $i,SV375: $i] :
( ( ! [SY3111: $i,SY3112: $i,SY3113: $i,SY3114: $i,SY3115: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV375 @ SV863 @ SY3111 ) @ SY3112 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV375 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV375 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV863 ) @ ( c_Message_Omsg_ONonce @ SY3113 ) ) ) ) @ ( c_List_Oset @ SY3112 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3114 @ SV375 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV375 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3113 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV863 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3115 ) @ SY3111 ) ) ) ) ) @ ( c_List_Oset @ SY3112 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV375 = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_in @ SY3112 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2142]) ).
thf(2649,plain,
! [SV864: $i,SV376: $i] :
( ( ! [SY3116: $i,SY3117: $i,SY3118: $i,SY3119: $i,SY3120: $i] :
( ( hBOOL @ ( c_in @ SV376 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV864 ) ) @ tc_Message_Omsg ) )
| ( SV376
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3116 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3117 ) @ ( c_Message_Omsg_OAgent @ SY3118 ) ) ) )
| ~ ( hBOOL @ ( c_in @ SV864 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3119 @ SY3118 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3118 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3120 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3116 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3117 ) @ SV376 ) ) ) ) ) @ ( c_List_Oset @ SV864 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2143]) ).
thf(2650,plain,
! [SV865: $i,SV377: $i] :
( ( ! [SY3121: $i,SY3122: $i,SY3123: $i,SY3124: $i,SY3125: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV377 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV865 ) @ ( hAPP @ c_Message_Omsg_OKey @ SY3121 ) ) ) ) @ SY3122 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3123 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3123 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV377 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3124 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3121 ) @ SY3125 ) ) ) ) ) @ ( c_List_Oset @ SY3122 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3124 @ SY3123 @ ( c_Message_Omsg_OCrypt @ SY3121 @ ( c_Message_Omsg_ONonce @ SV865 ) ) ) @ ( c_List_Oset @ SY3122 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SY3122 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2144]) ).
thf(2651,plain,
! [SV866: $i,SV378: $i] :
( ( ! [SY3126: $i,SY3127: $i,SY3128: $i,SY3129: $i] :
( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV378 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV378 ) @ ( c_Message_Omsg_OMPair @ SV866 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3126 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3127 ) @ SY3128 ) ) ) ) ) @ ( c_List_Oset @ SY3129 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SY3129 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SV378 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV378 ) @ ( c_Message_Omsg_OMPair @ SV866 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3126 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3127 ) @ SY3128 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY3129 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2145]) ).
thf(2652,plain,
! [SV867: $i,SV379: $i] :
( ( ! [SY3130: $i,SY3131: $i] :
( ( hBOOL @ ( c_in @ SV379 @ ( c_Event_Oknows @ SV867 @ SY3130 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV867 @ SY3131 @ SV379 ) @ ( c_List_Oset @ SY3130 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2146]) ).
thf(2653,plain,
! [SV868: $i,SV380: $i] :
( ( ! [SY3132: $i] :
( ( hBOOL @ ( c_in @ SV380 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV868 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SY3132 @ SV380 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV868 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2147]) ).
thf(2654,plain,
! [SV869: $i,SV381: $i] :
( ( ! [SY3133: $i] :
( ( hBOOL @ ( c_in @ SV381 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV869 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV381 @ SY3133 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV869 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2148]) ).
thf(2655,plain,
! [SV870: $i,SV383: $i] :
( ( ! [SY3134: $i] :
( ( hBOOL @ ( c_in @ SV383 @ ( c_Message_Oanalz @ SV870 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SY3134 @ SV383 ) @ ( c_Message_Oanalz @ SV870 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2150]) ).
thf(2656,plain,
! [SV871: $i,SV384: $i] :
( ( ! [SY3135: $i] :
( ( hBOOL @ ( c_in @ SV384 @ ( c_Message_Oanalz @ SV871 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV384 @ SY3135 ) @ ( c_Message_Oanalz @ SV871 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2151]) ).
thf(2657,plain,
! [SV872: $i,SV385: $i] :
( ( ( hBOOL @ ( c_in @ SV385 @ ( c_Message_Oanalz @ SV872 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV385 @ SV872 @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2152]) ).
thf(2658,plain,
! [SV873: $i,SV386: $i] :
( ( ! [SY3136: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV386 @ SV873 ) @ ( c_Message_Osynth @ SY3136 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV873 @ ( c_Message_Osynth @ SY3136 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV386 @ ( c_Message_Osynth @ SY3136 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2153]) ).
thf(2659,plain,
! [SV874: $i,SV387: $i] :
( ( ! [SY3137: $i,SY3138: $i] :
( ( hBOOL @ ( c_in @ SV387 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV874 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3137 @ SY3138 @ SV387 ) @ ( c_List_Oset @ SV874 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2154]) ).
thf(2660,plain,
! [SV875: $i,SV388: $i] :
( ( ! [SY3139: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ SV388 @ SV875 ) @ SY3139 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ SV875 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY3139 ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY3139 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2155]) ).
thf(2661,plain,
! [SV876: $i,SV389: $i] :
( ( ! [SY3140: $i] :
( ( hBOOL @ ( c_in @ SV389 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV876 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY3140 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SY3140 @ SV389 ) @ ( c_List_Oset @ SV876 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2156]) ).
thf(2662,plain,
! [SV877: $i,SV390: $i] :
( ( ! [SY3141: $i,SY3142: $i,SY3143: $i,SY3144: $i,SY3145: $i] :
( ( SV390
= ( hAPP @ c_Public_OshrK @ SV877 ) )
| ~ ( hBOOL @ ( c_in @ SY3141 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV877 @ ( c_Message_Omsg_OCrypt @ SV390 @ ( c_Message_Omsg_OMPair @ SY3142 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3143 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3144 ) @ SY3145 ) ) ) ) ) @ ( c_List_Oset @ SY3141 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2157]) ).
thf(2663,plain,
! [SV878: $i,SV391: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV391 ) @ ( c_Message_Osynth @ SV878 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV391 ) @ SV878 @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2158]) ).
thf(2664,plain,
! [SV879: $i,SV392: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV392 ) @ SV879 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV392 ) @ ( c_Message_Osynth @ SV879 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2159]) ).
thf(2665,plain,
! [SV880: $i,SV393: $i] :
( ( ! [SY3146: $i] :
( ( hBOOL @ ( c_in @ SV393 @ ( c_Message_Oanalz @ SV880 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SY3146 ) ) @ ( c_Message_Oanalz @ SV880 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3146 ) @ SV393 ) @ ( c_Message_Oanalz @ SV880 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2160]) ).
thf(2666,plain,
! [SV881: $i,SV394: $i] :
( ( ! [SY3147: $i,SY3148: $i] :
( ~ ( hBOOL @ ( c_in @ SV394 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV881 ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV394 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SY3147 @ SY3148 ) @ SV881 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2161]) ).
thf(2667,plain,
! [SV882: $i,SV395: $i] :
( ( ! [SY3149: $i,SY3150: $i] :
( ( hBOOL @ ( c_in @ SV395 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV882 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3149 @ SY3150 @ SV395 ) @ ( c_List_Oset @ SV882 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2162]) ).
thf(2668,plain,
! [SV883: $i,SV396: $i] :
( ( ! [SY3151: $i] :
( ( hBOOL @ ( c_in @ SV396 @ ( c_Message_Osynth @ SV883 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SY3151 @ SV396 ) @ SV883 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SY3151 @ SV396 ) @ ( c_Message_Osynth @ SV883 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2163]) ).
thf(2669,plain,
! [SV884: $i,SV397: $i] :
( ( ! [SY3152: $i] :
( ( hBOOL @ ( c_in @ SV397 @ ( c_Message_Osynth @ SV884 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV397 @ SY3152 ) @ SV884 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV397 @ SY3152 ) @ ( c_Message_Osynth @ SV884 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2164]) ).
thf(2670,plain,
! [SV885: $i,SV398: $i] :
( ( ! [SY3153: $i,SY3154: $i,SY3155: $i,SY3156: $i,SY3157: $i,SY3158: $i,SY3159: $i,SY3160: $i] :
( ( SV398 = SV885 )
| ~ ( hBOOL @ ( c_in @ SY3153 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV885 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV885 ) @ ( c_Message_Omsg_OMPair @ SY3154 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3155 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3156 ) @ SY3157 ) ) ) ) ) @ ( c_List_Oset @ SY3153 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV398 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV398 ) @ ( c_Message_Omsg_OMPair @ SY3158 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3159 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3156 ) @ SY3160 ) ) ) ) ) @ ( c_List_Oset @ SY3153 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2165]) ).
thf(2671,plain,
! [SV886: $i,SV399: $i] :
( ( ! [SY3161: $i,SY3162: $i,SY3163: $i,SY3164: $i,SY3165: $i,SY3166: $i,SY3167: $i,SY3168: $i] :
( ( SV399 = SV886 )
| ~ ( hBOOL @ ( c_in @ SY3161 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3162 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3162 ) @ ( c_Message_Omsg_OMPair @ SV886 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3163 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3164 ) @ SY3165 ) ) ) ) ) @ ( c_List_Oset @ SY3161 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3166 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3166 ) @ ( c_Message_Omsg_OMPair @ SV399 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3167 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3164 ) @ SY3168 ) ) ) ) ) @ ( c_List_Oset @ SY3161 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2166]) ).
thf(2672,plain,
! [SV887: $i,SV400: $i] :
( ( ! [SY3169: $i,SY3170: $i,SY3171: $i,SY3172: $i,SY3173: $i,SY3174: $i,SY3175: $i,SY3176: $i] :
( ( SV400 = SV887 )
| ~ ( hBOOL @ ( c_in @ SY3169 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3170 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3170 ) @ ( c_Message_Omsg_OMPair @ SY3171 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV887 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3172 ) @ SY3173 ) ) ) ) ) @ ( c_List_Oset @ SY3169 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3174 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3174 ) @ ( c_Message_Omsg_OMPair @ SY3175 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV400 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3172 ) @ SY3176 ) ) ) ) ) @ ( c_List_Oset @ SY3169 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2167]) ).
thf(2673,plain,
! [SV888: $i,SV401: $i] :
( ( ! [SY3177: $i,SY3178: $i,SY3179: $i,SY3180: $i,SY3181: $i,SY3182: $i,SY3183: $i,SY3184: $i] :
( ( SV401 = SV888 )
| ~ ( hBOOL @ ( c_in @ SY3177 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3178 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3178 ) @ ( c_Message_Omsg_OMPair @ SY3179 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3180 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3181 ) @ SV888 ) ) ) ) ) @ ( c_List_Oset @ SY3177 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3182 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3182 ) @ ( c_Message_Omsg_OMPair @ SY3183 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3184 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3181 ) @ SV401 ) ) ) ) ) @ ( c_List_Oset @ SY3177 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2168]) ).
thf(2674,plain,
! [SV889: $i,SV402: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV402 ) ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV889 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV402 @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2169]) ).
thf(2675,plain,
! [SV890: $i,SV403: $i] :
( ( ! [SY3185: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV403 @ SV890 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY3185 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV890 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY3185 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV403 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY3185 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2170]) ).
thf(2676,plain,
! [SV891: $i,SV404: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV404 ) ) @ ( c_Event_Oknows @ SV404 @ SV891 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2171]) ).
thf(2677,plain,
! [SV892: $i,SV405: $i] :
( ( ( hBOOL @ ( c_in @ SV405 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV405 ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV892 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV892 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2172]) ).
thf(2678,plain,
! [SV893: $i,SV406: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV406 ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV893 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV406 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ SV893 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2173]) ).
thf(2679,plain,
! [SV894: $i,SV407: $i] :
( ( ( hBOOL @ ( c_in @ SV407 @ ( c_Message_Oanalz @ SV894 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV407 @ ( c_Message_Oanalz @ ( c_Message_Oanalz @ SV894 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2174]) ).
thf(2680,plain,
! [SV895: $i,SV408: $i] :
( ( ! [SY3186: $i] :
( ( hBOOL @ ( c_in @ SV408 @ SV895 @ SY3186 ) )
| ~ ( hBOOL @ ( hAPP @ SV895 @ SV408 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2175]) ).
thf(2681,plain,
! [SV896: $i,SV409: $i] :
( ( ! [SY3187: $i] :
( ( hBOOL @ ( hAPP @ SV409 @ SV896 ) )
| ~ ( hBOOL @ ( c_in @ SV896 @ SV409 @ SY3187 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2176]) ).
thf(2682,plain,
! [SV897: $i,SV410: $i] :
( ( ! [SY3188: $i,SY3189: $i] :
( ( hBOOL @ ( c_in @ SV410 @ ( c_List_Oset @ SV897 @ SY3188 ) @ SY3188 ) )
| ( SV410 = SY3189 )
| ~ ( hBOOL @ ( c_in @ SV410 @ ( c_List_Oset @ ( c_List_Olist_OCons @ SY3189 @ SV897 @ SY3188 ) @ SY3188 ) @ SY3188 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2177]) ).
thf(2683,plain,
! [SV898: $i,SV411: $i] :
( ( ! [SY3190: $i] :
( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV411 @ SV898 ) @ SY3190 @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY3190 ) )
| ( hBOOL @ ( c_in @ SV411 @ c_Event_Obad @ tc_Message_Oagent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2178]) ).
thf(2684,plain,
! [SV899: $i,SV412: $i] :
( ( ! [SY3191: $i] :
( ( hBOOL @ ( c_in @ SV412 @ ( c_Event_Oknows @ SV899 @ SY3191 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SV899 @ SV412 ) @ ( c_List_Oset @ SY3191 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2179]) ).
thf(2685,plain,
! [SV900: $i,SV413: $i] :
( ( ! [SY3192: $i] :
( ( hBOOL @ ( c_in @ SV413 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV900 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY3192 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3192 ) @ SV413 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV900 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2180]) ).
thf(2686,plain,
! [SV901: $i,SV414: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OAgent @ SV414 ) @ ( c_Message_Osynth @ SV901 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2181]) ).
thf(2687,plain,
! [SV902: $i,SV415: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OAgent @ SV415 ) @ ( c_Message_Osynth @ SV902 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2182]) ).
thf(2688,plain,
! [SV903: $i,SV416: $i] :
( ( ( hBOOL @ ( c_in @ SV416 @ ( c_Message_Osynth @ SV903 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV416 @ SV903 @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2183]) ).
thf(2689,plain,
! [SV904: $i,SV417: $i] :
( ( ! [SY3193: $i,SY3194: $i,SY3195: $i,SY3196: $i,SY3197: $i] :
( ( SV417
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV904 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3193 ) @ ( c_Message_Omsg_OAgent @ SY3194 ) ) ) )
| ~ ( hBOOL @ ( c_in @ SY3195 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3194 @ ( c_Message_Omsg_OCrypt @ SY3196 @ ( c_Message_Omsg_OMPair @ SY3197 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV904 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3193 ) @ SV417 ) ) ) ) ) @ ( c_List_Oset @ SY3195 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2184]) ).
thf(2690,plain,
! [SV905: $i,SV418: $i] :
( ( ! [SY3198: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV418 @ SV905 ) @ ( c_Message_Osynth @ SY3198 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV418 @ SV905 ) @ SY3198 @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV418 ) @ SY3198 @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2185]) ).
thf(2691,plain,
! [SV906: $i,SV419: $i] :
( ( ! [SY3199: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV419 @ SV906 ) @ SY3199 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV419 @ SV906 ) @ ( c_Message_Osynth @ SY3199 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV419 ) @ SY3199 @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2186]) ).
thf(2692,plain,
! [SV907: $i,SV420: $i] :
( ( ! [SY3200: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV420 ) @ SV907 @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV420 @ SY3200 ) @ SV907 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV420 @ SY3200 ) @ ( c_Message_Osynth @ SV907 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2187]) ).
thf(2693,plain,
! [SV908: $i,SV421: $i] :
( ( ( hBOOL @ ( c_in @ SV421 @ ( c_Message_Osynth @ SV908 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV421 @ ( c_Message_Osynth @ ( c_Message_Osynth @ SV908 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2188]) ).
thf(2694,plain,
! [SV909: $i,SV423: $i] :
( ( ! [SY3201: $i] :
( ( hBOOL @ ( c_in @ SV423 @ ( c_Message_Osynth @ SV909 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SY3201 @ SV423 ) @ SV909 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SY3201 @ SV423 ) @ ( c_Message_Osynth @ SV909 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2190]) ).
thf(2695,plain,
! [SV910: $i,SV424: $i] :
( ( ! [SY3202: $i,SY3203: $i,SY3204: $i] :
( ~ ( hBOOL @ ( c_in @ SV424 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV910 ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV424 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SY3202 @ SY3203 @ SY3204 ) @ SV910 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2192]) ).
thf(2696,plain,
! [SV911: $i,SV425: $i] :
( ( ! [SY3205: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV425 @ SV911 ) @ ( c_Message_Osynth @ SY3205 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV425 ) @ SY3205 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV911 @ ( c_Message_Osynth @ SY3205 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2193]) ).
thf(2697,plain,
! [SV912: $i,SV426: $i] :
( ( ( class_Lattices_Oupper__semilattice @ ( tc_fun @ SV426 @ SV912 ) )
| ~ ( class_Lattices_Olattice @ SV912 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2194]) ).
thf(2698,plain,
! [SV913: $i,SV427: $i] :
( ( ( class_Lattices_Obounded__lattice @ ( tc_fun @ SV427 @ SV913 ) )
| ~ ( class_Lattices_Obounded__lattice @ SV913 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2195]) ).
thf(2699,plain,
! [SV914: $i,SV428: $i] :
( ( ( class_Lattices_Oboolean__algebra @ ( tc_fun @ SV428 @ SV914 ) )
| ~ ( class_Lattices_Oboolean__algebra @ SV914 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2196]) ).
thf(2700,plain,
! [SV915: $i,SV429: $i] :
( ( ( class_Orderings_Opreorder @ ( tc_fun @ SV429 @ SV915 ) )
| ~ ( class_Orderings_Opreorder @ SV915 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2197]) ).
thf(2701,plain,
! [SV916: $i,SV430: $i] :
( ( ( class_Lattices_Olattice @ ( tc_fun @ SV430 @ SV916 ) )
| ~ ( class_Lattices_Olattice @ SV916 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2198]) ).
thf(2702,plain,
! [SV917: $i,SV431: $i] :
( ( ( class_Orderings_Oorder @ ( tc_fun @ SV431 @ SV917 ) )
| ~ ( class_Orderings_Oorder @ SV917 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2199]) ).
thf(2703,plain,
! [SV918: $i,SV432: $i] :
( ( ( class_Orderings_Otop @ ( tc_fun @ SV432 @ SV918 ) )
| ~ ( class_Orderings_Otop @ SV918 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2200]) ).
thf(2704,plain,
! [SV919: $i,SV433: $i] :
( ( ( class_Orderings_Obot @ ( tc_fun @ SV433 @ SV919 ) )
| ~ ( class_Orderings_Obot @ SV919 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2201]) ).
thf(2705,plain,
! [SV920: $i,SV434: $i] :
( ( ( class_HOL_Ouminus @ ( tc_fun @ SV434 @ SV920 ) )
| ~ ( class_HOL_Ouminus @ SV920 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2202]) ).
thf(2706,plain,
! [SV921: $i,SV435: $i] :
( ( ( class_HOL_Oord @ ( tc_fun @ SV435 @ SV921 ) )
| ~ ( class_HOL_Oord @ SV921 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2203]) ).
thf(2707,plain,
! [SV922: $i,SV436: $i] :
( ( c_fequal @ SV436 @ SV436 @ SV922 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2204]) ).
thf(2708,plain,
! [SV923: $i,SV437: $i] :
( ( ! [SY3206: $i] :
( ( SV437 = SV923 )
| ~ ( c_fequal @ SV437 @ SV923 @ SY3206 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2205]) ).
thf(2709,plain,
! [SV924: $i,SV438: $i] :
( ( ( ( c_Message_Omsg_OAgent @ SV438 )
!= ( c_Message_Omsg_OAgent @ SV924 ) )
| ( SV438 = SV924 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2207]) ).
thf(2710,plain,
! [SV925: $i,SV439: $i] :
( ( ( hAPP @ c_Message_Omsg_OKey @ SV439 )
!= ( c_Message_Omsg_OAgent @ SV925 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2208]) ).
thf(2711,plain,
! [SV926: $i,SV440: $i] :
( ( ! [SY3207: $i,SY3208: $i] :
( ( c_Event_Oevent_OGets @ SV440 @ SV926 )
!= ( c_Event_Oevent_ONotes @ SY3207 @ SY3208 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2209]) ).
thf(2712,plain,
! [SV927: $i,SV441: $i] :
( ( ! [SY3209: $i] :
( ( ( c_HOL_Ouminus__class_Ouminus @ SV441 @ ( tc_fun @ SV927 @ tc_bool ) )
!= ( c_HOL_Ouminus__class_Ouminus @ SY3209 @ ( tc_fun @ SV927 @ tc_bool ) ) )
| ( SV441 = SY3209 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2210]) ).
thf(2713,plain,
! [SV928: $i,SV442: $i] :
( ( ! [SY3210: $i,SY3211: $i,SY3212: $i] :
( ( c_Event_Oevent_OSays @ SV442 @ SV928 @ SY3210 )
!= ( c_Event_Oevent_OGets @ SY3211 @ SY3212 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2211]) ).
thf(2714,plain,
! [SV929: $i,SV443: $i] :
( ( ! [SY3213: $i] :
( ( c_Message_Omsg_OAgent @ SV443 )
!= ( c_Message_Omsg_OMPair @ SV929 @ SY3213 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2212]) ).
thf(2715,plain,
! [SV930: $i,SV444: $i] :
( ( ! [SY3214: $i] :
( ( c_Message_Omsg_OCrypt @ SV444 @ SV930 )
!= ( c_Message_Omsg_ONonce @ SY3214 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2213]) ).
thf(2716,plain,
! [SV931: $i,SV445: $i] :
( ( ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ SV445 ) )
!= ( hAPP @ c_Public_OshrK @ SV931 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2214]) ).
thf(2717,plain,
! [SV932: $i,SV446: $i] :
( ( ! [SY3215: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV446 @ SV932 @ ( tc_fun @ SY3215 @ tc_bool ) )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY3215 @ tc_bool ) ) )
| ( SV932
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY3215 @ tc_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2215]) ).
thf(2718,plain,
! [SV933: $i,SV447: $i] :
( ( ! [SY3216: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV447 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV933 @ SY3216 @ SV447 )
!= SY3216 )
| ( c_lessequals @ SV933 @ SY3216 @ SV447 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2216]) ).
thf(2719,plain,
! [SV934: $i,SV448: $i] :
( ( ! [SY3217: $i,SY3218: $i,SY3219: $i] :
( ( ( c_Set_Oinsert @ SV448 @ ( c_Set_Oinsert @ SV934 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY3217 @ tc_bool ) ) @ SY3217 ) @ SY3217 )
!= ( c_Set_Oinsert @ SY3218 @ ( c_Set_Oinsert @ SY3219 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY3217 @ tc_bool ) ) @ SY3217 ) @ SY3217 ) )
| ( SV934 = SY3218 )
| ( SV448 = SY3218 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2217]) ).
thf(2720,plain,
! [SV935: $i,SV449: $i] :
( ( ! [SY3220: $i] :
( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV449 @ tc_bool ) )
!= ( c_Set_Oinsert @ SV935 @ SY3220 @ SV449 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2218]) ).
thf(2721,plain,
! [SV936: $i,SV450: $i] :
( ( ( c_Message_Omsg_OAgent @ SV450 )
!= ( hAPP @ c_Message_Omsg_OKey @ SV936 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2220]) ).
thf(2722,plain,
! [SV451: $i] :
( ( c_Message_Oagent_OServer
= ( c_Message_Oagent_OFriend @ SV451 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2221]) ).
thf(2723,plain,
! [SV937: $i,SV452: $i] :
( ( ( ( c_Message_Omsg_ONonce @ SV452 )
!= ( c_Message_Omsg_ONonce @ SV937 ) )
| ( SV452 = SV937 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2222]) ).
thf(2724,plain,
! [SV938: $i,SV453: $i] :
( ( ( hAPP @ c_Message_Omsg_OKey @ SV453 )
!= ( c_Message_Omsg_ONonce @ SV938 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2223]) ).
thf(2725,plain,
! [SV454: $i] :
( ( ( c_Message_Oagent_OFriend @ SV454 )
= c_Message_Oagent_OSpy )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2224]) ).
thf(2726,plain,
! [SV939: $i,SV455: $i] :
( ( ! [SY3221: $i] :
( ( c_Message_Omsg_OAgent @ SV455 )
!= ( c_Message_Omsg_OCrypt @ SV939 @ SY3221 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2225]) ).
thf(2727,plain,
! [SV940: $i,SV456: $i] :
( ( ! [SY3222: $i] :
( ( c_List_Olist_OCons @ SV456 @ SV940 @ SY3222 )
!= SV940 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2226]) ).
thf(2728,plain,
! [SV941: $i,SV457: $i] :
( ( ( c_Message_Omsg_OAgent @ SV457 )
!= ( c_Message_Omsg_ONonce @ SV941 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2227]) ).
thf(2729,plain,
! [SV942: $i,SV458: $i] :
( ( ! [SY3223: $i,SY3224: $i] :
( ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV458 ) @ SV942 ) )
!= ( hAPP @ ( c_Public_OpublicKey @ SY3223 ) @ SY3224 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2228]) ).
thf(2730,plain,
! [SV943: $i,SV459: $i] :
( ( ! [SY3225: $i,SY3226: $i] :
( ( ( c_Event_Oevent_OGets @ SV459 @ SV943 )
!= ( c_Event_Oevent_OGets @ SY3225 @ SY3226 ) )
| ( SV459 = SY3225 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2229]) ).
thf(2731,plain,
! [SV944: $i,SV460: $i] :
( ( ! [SY3227: $i] :
( SV460
!= ( c_List_Olist_OCons @ SV944 @ SV460 @ SY3227 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2230]) ).
thf(2732,plain,
! [SV945: $i,SV461: $i] :
( ( ! [SY3228: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV461 @ SV945 @ ( tc_fun @ SY3228 @ tc_bool ) )
!= SV945 )
| ( c_lessequals @ SV461 @ SV945 @ ( tc_fun @ SY3228 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2231]) ).
thf(2733,plain,
! [SV946: $i,SV462: $i] :
( ( ! [SY3229: $i] :
( ( ( c_Message_Oanalz @ SV462 )
!= ( c_Message_Oanalz @ SV946 ) )
| ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SY3229 @ SV462 @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ ( c_Set_Oinsert @ SY3229 @ SV946 @ tc_Message_Omsg ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2232]) ).
thf(2734,plain,
! [SV947: $i,SV463: $i] :
( ( ! [SY3230: $i,SY3231: $i] :
( ( ( c_Message_Omsg_OCrypt @ SV463 @ SV947 )
!= ( c_Message_Omsg_OCrypt @ SY3230 @ SY3231 ) )
| ( SV463 = SY3230 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2233]) ).
thf(2735,plain,
! [SV948: $i,SV464: $i] :
( ( ( c_Message_Omsg_ONonce @ SV464 )
!= ( hAPP @ c_Message_Omsg_OKey @ SV948 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2234]) ).
thf(2736,plain,
! [SV949: $i,SV465: $i] :
( ( ! [SY3232: $i] :
( ( hAPP @ c_Public_OshrK @ SV465 )
!= ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV949 ) @ SY3232 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2236]) ).
thf(2737,plain,
! [SV950: $i,SV466: $i] :
( ( ! [SY3233: $i,SY3234: $i] :
( ( ( c_Set_Oinsert @ SV466 @ SV950 @ SY3233 )
!= ( c_Set_Oinsert @ SV466 @ SY3234 @ SY3233 ) )
| ( hBOOL @ ( c_in @ SV466 @ SY3234 @ SY3233 ) )
| ( hBOOL @ ( c_in @ SV466 @ SV950 @ SY3233 ) )
| ( SV950 = SY3234 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2237]) ).
thf(2738,plain,
! [SV951: $i,SV467: $i] :
( ( ! [SY3235: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV467 @ SV951 @ ( tc_fun @ SY3235 @ tc_bool ) )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY3235 @ tc_bool ) ) )
| ( SV467
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY3235 @ tc_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2238]) ).
thf(2739,plain,
! [SV952: $i,SV468: $i] :
( ( ! [SY3236: $i] :
( ( ( c_Set_Oinsert @ SV468 @ SV952 @ SY3236 )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY3236 @ tc_bool ) ) )
| ( hBOOL @ ( c_in @ SV468 @ SV952 @ SY3236 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2239]) ).
thf(2740,plain,
! [SV953: $i,SV469: $i] :
( ( ! [SY3237: $i] :
( ( hAPP @ c_Message_Omsg_OKey @ SV469 )
!= ( c_Message_Omsg_OCrypt @ SV953 @ SY3237 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2240]) ).
thf(2741,plain,
! [SV954: $i,SV470: $i] :
( ( ! [SY3238: $i,SY3239: $i] :
( ( ( hAPP @ ( c_Public_OpublicKey @ SV470 ) @ SV954 )
!= ( hAPP @ ( c_Public_OpublicKey @ SY3238 ) @ SY3239 ) )
| ( SV954 = SY3239 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2241]) ).
thf(2742,plain,
! [SV955: $i,SV471: $i] :
( ( ( ( hAPP @ c_Public_OshrK @ SV471 )
!= ( hAPP @ c_Public_OshrK @ SV955 ) )
| ( SV471 = SV955 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2242]) ).
thf(2743,plain,
! [SV956: $i,SV472: $i] :
( ( ! [SY3240: $i,SY3241: $i] :
( ( hAPP @ ( c_Public_OpublicKey @ SV472 ) @ SV956 )
!= ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SY3240 ) @ SY3241 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2243]) ).
thf(2744,plain,
! [SV957: $i,SV473: $i] :
( ( ! [SY3242: $i,SY3243: $i,SY3244: $i] :
( ( ( c_Set_Oinsert @ SV473 @ ( c_Set_Oinsert @ SV957 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY3242 @ tc_bool ) ) @ SY3242 ) @ SY3242 )
!= ( c_Set_Oinsert @ SY3243 @ ( c_Set_Oinsert @ SY3244 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY3242 @ tc_bool ) ) @ SY3242 ) @ SY3242 ) )
| ( SV473 = SY3244 )
| ( SV957 = SY3244 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2244]) ).
thf(2745,plain,
! [SV958: $i,SV474: $i] :
( ( ! [SY3245: $i] :
( ~ ( class_Lattices_Obounded__lattice @ SV474 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV958 @ SY3245 @ SV474 )
!= ( c_Orderings_Obot__class_Obot @ SV474 ) )
| ( SY3245
= ( c_Orderings_Obot__class_Obot @ SV474 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2245]) ).
thf(2746,plain,
! [SV959: $i,SV475: $i] :
( ( ! [SY3246: $i,SY3247: $i,SY3248: $i,SY3249: $i] :
( ( ( c_Event_Oevent_OSays @ SV475 @ SV959 @ SY3246 )
!= ( c_Event_Oevent_OSays @ SY3247 @ SY3248 @ SY3249 ) )
| ( SY3246 = SY3249 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2246]) ).
thf(2747,plain,
! [SV960: $i,SV476: $i] :
( ( ! [SY3250: $i,SY3251: $i] :
( ( ( hAPP @ ( c_Public_OpublicKey @ SV476 ) @ SV960 )
!= ( hAPP @ ( c_Public_OpublicKey @ SY3250 ) @ SY3251 ) )
| ( SV476 = SY3250 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2247]) ).
thf(2748,plain,
! [SV961: $i,SV477: $i] :
( ( ! [SY3252: $i,SY3253: $i,SY3254: $i] :
( ( ( c_List_Olist_OCons @ SV477 @ SV961 @ SY3252 )
!= ( c_List_Olist_OCons @ SY3253 @ SY3254 @ SY3252 ) )
| ( SV477 = SY3253 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2248]) ).
thf(2749,plain,
! [SV962: $i,SV478: $i] :
( ( ! [SY3255: $i] :
( ( hAPP @ ( c_Public_OpublicKey @ SV478 ) @ SV962 )
!= ( hAPP @ c_Public_OshrK @ SY3255 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2249]) ).
thf(2750,plain,
! [SV963: $i,SV479: $i] :
( ( ! [SY3256: $i,SY3257: $i] :
( ( ( c_Message_Oanalz @ SV479 )
!= ( c_Message_Oanalz @ SV963 ) )
| ( ( c_Message_Oanalz @ SY3256 )
!= ( c_Message_Oanalz @ SY3257 ) )
| ( ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY3256 @ SV479 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY3257 @ SV963 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2250]) ).
thf(2751,plain,
! [SV964: $i,SV480: $i] :
( ( ! [SY3258: $i,SY3259: $i] :
( ( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV480 @ tc_bool ) )
!= ( c_Set_Oimage @ SV964 @ SY3258 @ SY3259 @ SV480 ) )
| ( SY3258
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY3259 @ tc_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2251]) ).
thf(2752,plain,
! [SV965: $i,SV481: $i] :
( ( ! [SY3260: $i] :
( ( c_Message_Omsg_OMPair @ SV481 @ SV965 )
!= ( c_Message_Omsg_OAgent @ SY3260 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2253]) ).
thf(2753,plain,
! [SV482: $i] :
( ( c_Message_Oagent_OSpy
= ( c_Message_Oagent_OFriend @ SV482 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2254]) ).
thf(2754,plain,
! [SV966: $i,SV483: $i] :
( ( ! [SY3261: $i,SY3262: $i,SY3263: $i] :
( ( ( c_Set_Oinsert @ SV483 @ ( c_Set_Oinsert @ SV966 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY3261 @ tc_bool ) ) @ SY3261 ) @ SY3261 )
!= ( c_Set_Oinsert @ SY3262 @ ( c_Set_Oinsert @ SY3263 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY3261 @ tc_bool ) ) @ SY3261 ) @ SY3261 ) )
| ( SV483 = SY3263 )
| ( SV483 = SY3262 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2255]) ).
thf(2755,plain,
! [SV967: $i,SV484: $i] :
( ( ! [SY3264: $i] :
( ~ ( class_OrderedGroup_Ogroup__add @ SV484 )
| ( ( c_HOL_Ouminus__class_Ouminus @ SV967 @ SV484 )
!= ( c_HOL_Ouminus__class_Ouminus @ SY3264 @ SV484 ) )
| ( SV967 = SY3264 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2256]) ).
thf(2756,plain,
! [SV968: $i,SV485: $i] :
( ( ! [SY3265: $i,SY3266: $i] :
( ( c_Event_Oevent_ONotes @ SV485 @ SV968 )
!= ( c_Event_Oevent_OGets @ SY3265 @ SY3266 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2257]) ).
thf(2757,plain,
! [SV969: $i,SV486: $i] :
( ( ! [SY3267: $i] :
( ( c_Set_Oinsert @ SV486 @ SV969 @ SY3267 )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY3267 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2258]) ).
thf(2758,plain,
! [SV970: $i,SV487: $i] :
( ( ! [SY3268: $i,SY3269: $i] :
( ( c_Message_Omsg_OCrypt @ SV487 @ SV970 )
!= ( c_Message_Omsg_OMPair @ SY3268 @ SY3269 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2260]) ).
thf(2759,plain,
! [SV971: $i,SV488: $i] :
( ( ( c_Message_Omsg_ONonce @ SV488 )
!= ( c_Message_Omsg_OAgent @ SV971 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2261]) ).
thf(2760,plain,
! [SV972: $i,SV489: $i] :
( ( ( ( hAPP @ c_Message_OinvKey @ SV489 )
!= ( hAPP @ c_Message_OinvKey @ SV972 ) )
| ( SV489 = SV972 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2262]) ).
thf(2761,plain,
! [SV973: $i,SV490: $i] :
( ( ! [SY3270: $i,SY3271: $i] :
( ( ( c_Event_Oevent_OGets @ SV490 @ SV973 )
!= ( c_Event_Oevent_OGets @ SY3270 @ SY3271 ) )
| ( SV973 = SY3271 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2263]) ).
thf(2762,plain,
! [SV974: $i,SV491: $i] :
( ( ! [SY3272: $i,SY3273: $i] :
( ( ( c_Event_Oevent_ONotes @ SV491 @ SV974 )
!= ( c_Event_Oevent_ONotes @ SY3272 @ SY3273 ) )
| ( SV491 = SY3272 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2264]) ).
thf(2763,plain,
! [SV975: $i,SV492: $i] :
( ( ! [SY3274: $i] :
( ~ ( class_Lattices_Oboolean__algebra @ SV492 )
| ( ( c_HOL_Ouminus__class_Ouminus @ SV975 @ SV492 )
!= ( c_HOL_Ouminus__class_Ouminus @ SY3274 @ SV492 ) )
| ( SV975 = SY3274 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2265]) ).
thf(2764,plain,
! [SV976: $i,SV493: $i] :
( ( ! [SY3275: $i,SY3276: $i,SY3277: $i] :
( ( c_Event_Oevent_OSays @ SV493 @ SV976 @ SY3275 )
!= ( c_Event_Oevent_ONotes @ SY3276 @ SY3277 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2266]) ).
thf(2765,plain,
! [SV977: $i,SV494: $i] :
( ( ! [SY3278: $i,SY3279: $i] :
( ( ( c_Message_Omsg_OMPair @ SV494 @ SV977 )
!= ( c_Message_Omsg_OMPair @ SY3278 @ SY3279 ) )
| ( SV494 = SY3278 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2267]) ).
thf(2766,plain,
! [SV978: $i,SV495: $i] :
( ( ! [SY3280: $i] :
( ( c_Message_Omsg_OMPair @ SV495 @ SV978 )
!= ( c_Message_Omsg_ONonce @ SY3280 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2268]) ).
thf(2767,plain,
! [SV979: $i,SV496: $i] :
( ( ! [SY3281: $i] :
( ( hAPP @ c_Message_Omsg_OKey @ SV496 )
!= ( c_Message_Omsg_OMPair @ SV979 @ SY3281 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2269]) ).
thf(2768,plain,
! [SV980: $i,SV497: $i] :
( ( ! [SY3282: $i,SY3283: $i,SY3284: $i] :
( ( ( c_List_Olist_OCons @ SV497 @ SV980 @ SY3282 )
!= ( c_List_Olist_OCons @ SY3283 @ SY3284 @ SY3282 ) )
| ( SV980 = SY3284 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2270]) ).
thf(2769,plain,
! [SV981: $i,SV498: $i] :
( ( ! [SY3285: $i,SY3286: $i] :
( ( c_Message_Omsg_OMPair @ SV498 @ SV981 )
!= ( c_Message_Omsg_OCrypt @ SY3285 @ SY3286 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2271]) ).
thf(2770,plain,
! [SV982: $i,SV499: $i] :
( ( ! [SY3287: $i] :
( ( c_Message_Omsg_OMPair @ SV499 @ SV982 )
!= ( hAPP @ c_Message_Omsg_OKey @ SY3287 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2272]) ).
thf(2771,plain,
! [SV983: $i,SV500: $i] :
( ( ! [SY3288: $i,SY3289: $i,SY3290: $i,SY3291: $i] :
( ( ( c_Event_Oevent_OSays @ SV500 @ SV983 @ SY3288 )
!= ( c_Event_Oevent_OSays @ SY3289 @ SY3290 @ SY3291 ) )
| ( SV500 = SY3289 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2273]) ).
thf(2772,plain,
! [SV984: $i,SV501: $i] :
( ( ! [SY3292: $i,SY3293: $i] :
( ( ( c_Message_Omsg_OCrypt @ SV501 @ SV984 )
!= ( c_Message_Omsg_OCrypt @ SY3292 @ SY3293 ) )
| ( SV984 = SY3293 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2274]) ).
thf(2773,plain,
! [SV985: $i,SV502: $i] :
( ( ( ( hAPP @ c_Message_Omsg_OKey @ SV502 )
!= ( hAPP @ c_Message_Omsg_OKey @ SV985 ) )
| ( SV502 = SV985 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2275]) ).
thf(2774,plain,
! [SV503: $i] :
( ( ( c_Message_Oagent_OFriend @ SV503 )
= c_Message_Oagent_OServer )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2276]) ).
thf(2775,plain,
! [SV986: $i,SV504: $i] :
( ( ! [SY3294: $i,SY3295: $i,SY3296: $i] :
( ( ( c_Set_Oinsert @ SV504 @ ( c_Set_Oinsert @ SV986 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY3294 @ tc_bool ) ) @ SY3294 ) @ SY3294 )
!= ( c_Set_Oinsert @ SY3295 @ ( c_Set_Oinsert @ SY3296 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY3294 @ tc_bool ) ) @ SY3294 ) @ SY3294 ) )
| ( SV986 = SY3295 )
| ( SV986 = SY3296 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2277]) ).
thf(2776,plain,
! [SV987: $i,SV505: $i] :
( ( ! [SY3297: $i,SY3298: $i,SY3299: $i] :
( ( c_Event_Oevent_ONotes @ SV505 @ SV987 )
!= ( c_Event_Oevent_OSays @ SY3297 @ SY3298 @ SY3299 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2278]) ).
thf(2777,plain,
! [SV988: $i,SV506: $i] :
( ( ! [SY3300: $i,SY3301: $i] :
( ( ( c_Set_Oimage @ SV506 @ SV988 @ SY3300 @ SY3301 )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY3301 @ tc_bool ) ) )
| ( SV988
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY3300 @ tc_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2279]) ).
thf(2778,plain,
! [SV989: $i,SV507: $i] :
( ( ! [SY3302: $i] :
( ( c_Message_Omsg_OCrypt @ SV507 @ SV989 )
!= ( c_Message_Omsg_OAgent @ SY3302 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2280]) ).
thf(2779,plain,
! [SV990: $i,SV508: $i] :
( ( ( ( c_Message_Oagent_OFriend @ SV508 )
!= ( c_Message_Oagent_OFriend @ SV990 ) )
| ( SV508 = SV990 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2281]) ).
thf(2780,plain,
! [SV509: $i] :
( ( ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SV509 @ tc_bool ) )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV509 @ tc_bool ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2282]) ).
thf(2781,plain,
! [SV991: $i,SV510: $i] :
( ( ! [SY3303: $i] :
( ( c_Message_Omsg_ONonce @ SV510 )
!= ( c_Message_Omsg_OMPair @ SV991 @ SY3303 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2283]) ).
thf(2782,plain,
! [SV992: $i,SV511: $i] :
( ( ! [SY3304: $i] :
( ( hAPP @ c_Public_OshrK @ SV511 )
!= ( hAPP @ ( c_Public_OpublicKey @ SV992 ) @ SY3304 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2284]) ).
thf(2783,plain,
! [SV993: $i,SV512: $i] :
( ( ! [SY3305: $i] :
( ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV512 ) @ SV993 ) )
!= ( hAPP @ c_Public_OshrK @ SY3305 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2285]) ).
thf(2784,plain,
! [SV994: $i,SV513: $i] :
( ( ! [SY3306: $i,SY3307: $i,SY3308: $i,SY3309: $i] :
( ( ( c_Event_Oevent_OSays @ SV513 @ SV994 @ SY3306 )
!= ( c_Event_Oevent_OSays @ SY3307 @ SY3308 @ SY3309 ) )
| ( SV994 = SY3308 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2286]) ).
thf(2785,plain,
! [SV995: $i,SV514: $i] :
( ( ! [SY3310: $i] :
( ( c_Message_Omsg_ONonce @ SV514 )
!= ( c_Message_Omsg_OCrypt @ SV995 @ SY3310 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2287]) ).
thf(2786,plain,
! [SV996: $i,SV515: $i] :
( ( ! [SY3311: $i] :
( ( ( c_Set_Oinsert @ SV515 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV996 @ tc_bool ) ) @ SV996 )
!= ( c_Set_Oinsert @ SY3311 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV996 @ tc_bool ) ) @ SV996 ) )
| ( SV515 = SY3311 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2288]) ).
thf(2787,plain,
! [SV997: $i,SV516: $i] :
( ( ! [SY3312: $i] :
( ~ ( class_Lattices_Obounded__lattice @ SV516 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV997 @ SY3312 @ SV516 )
!= ( c_Orderings_Obot__class_Obot @ SV516 ) )
| ( SV997
= ( c_Orderings_Obot__class_Obot @ SV516 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2289]) ).
thf(2788,plain,
! [SV998: $i,SV517: $i] :
( ( ! [SY3313: $i,SY3314: $i] :
( ( ( c_Message_Omsg_OMPair @ SV517 @ SV998 )
!= ( c_Message_Omsg_OMPair @ SY3313 @ SY3314 ) )
| ( SV998 = SY3314 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2290]) ).
thf(2789,plain,
! [SV999: $i,SV518: $i] :
( ( ! [SY3315: $i] :
( ( c_Message_Omsg_OCrypt @ SV518 @ SV999 )
!= ( hAPP @ c_Message_Omsg_OKey @ SY3315 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2291]) ).
thf(2790,plain,
! [SV1000: $i,SV519: $i] :
( ( ! [SY3316: $i,SY3317: $i,SY3318: $i] :
( ( c_Event_Oevent_OGets @ SV519 @ SV1000 )
!= ( c_Event_Oevent_OSays @ SY3316 @ SY3317 @ SY3318 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2292]) ).
thf(2791,plain,
! [SV1001: $i,SV520: $i] :
( ( ! [SY3319: $i,SY3320: $i] :
( ( ( c_Event_Oevent_ONotes @ SV520 @ SV1001 )
!= ( c_Event_Oevent_ONotes @ SY3319 @ SY3320 ) )
| ( SV1001 = SY3320 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2293]) ).
thf(2792,plain,
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ v_x @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) ) ) ) @ ( c_List_Oset @ v_evsf @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ v_A ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Omsg_OAgent @ v_A ) ) ) ) ) ) ) ) @ ( c_List_Oset @ v_evsf @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf ) ) @ tc_Message_Omsg ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2295]) ).
thf(2793,plain,
! [SV1002: $i,SV521: $i,SV2: $i] :
( ( ( hBOOL @ ( c_in @ SV2 @ ( c_Event_Oused @ SV521 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV2 @ ( c_Message_Oparts @ ( c_Event_OinitState @ SV1002 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2296]) ).
thf(2794,plain,
! [SV1003: $i,SV522: $i,SV3: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ ( c_Public_OpublicKey @ SV3 ) @ SV522 ) ) @ ( c_Event_OinitState @ SV1003 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2297]) ).
thf(2795,plain,
! [SV523: $i,SV5: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV5 ) @ ( c_Message_Oparts @ ( c_Event_OinitState @ SV523 ) ) @ tc_Message_Omsg ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2298]) ).
thf(2796,plain,
! [SV1004: $i,SV524: $i,SV6: $i] :
( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV6 @ SV524 ) @ ( c_Message_Oparts @ ( c_Event_OinitState @ SV1004 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2299]) ).
thf(2797,plain,
! [SV1005: $i,SV525: $i,SV7: $i] :
( ( ~ ( hBOOL @ ( c_in @ SV7 @ SV525 @ SV1005 ) )
| ~ ( hBOOL @ ( c_in @ SV7 @ ( c_HOL_Ouminus__class_Ouminus @ SV525 @ ( tc_fun @ SV1005 @ tc_bool ) ) @ SV1005 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2301]) ).
thf(2798,plain,
! [SV1006: $i,SV526: $i,SV8: $i] :
( ( ( hBOOL @ ( c_in @ SV8 @ ( c_HOL_Ouminus__class_Ouminus @ SV526 @ ( tc_fun @ SV1006 @ tc_bool ) ) @ SV1006 ) )
| ( hBOOL @ ( c_in @ SV8 @ SV526 @ SV1006 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2302]) ).
thf(2799,plain,
! [SV1007: $i,SV527: $i,SV9: $i] :
( ( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV9 )
| ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV527 @ SV9 ) @ SV1007 @ SV9 )
| ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV1007 @ SV9 ) @ SV527 @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2303]) ).
thf(2800,plain,
! [SV1008: $i,SV528: $i,SV10: $i] :
( ( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV10 )
| ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV528 @ SV10 ) @ SV1008 @ SV10 )
| ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV1008 @ SV10 ) @ SV528 @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2304]) ).
thf(2801,plain,
! [SV1009: $i,SV529: $i,SV11: $i] :
( ( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV11 )
| ( c_lessequals @ SV529 @ ( c_HOL_Ouminus__class_Ouminus @ SV1009 @ SV11 ) @ SV11 )
| ~ ( c_lessequals @ SV1009 @ ( c_HOL_Ouminus__class_Ouminus @ SV529 @ SV11 ) @ SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2305]) ).
thf(2802,plain,
! [SV1010: $i,SV530: $i,SV12: $i] :
( ( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV12 )
| ( c_lessequals @ SV530 @ ( c_HOL_Ouminus__class_Ouminus @ SV1010 @ SV12 ) @ SV12 )
| ~ ( c_lessequals @ SV1010 @ ( c_HOL_Ouminus__class_Ouminus @ SV530 @ SV12 ) @ SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2306]) ).
thf(2803,plain,
! [SV531: $i,SV13: $i] :
( ( ( ~ ( class_OrderedGroup_Ogroup__add @ SV13 ) )
= $true )
| ( ( ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ SV531 @ SV13 ) @ SV13 )
= SV531 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2307]) ).
thf(2804,plain,
! [SV532: $i,SV14: $i] :
( ( ( ~ ( class_OrderedGroup_Ogroup__add @ SV14 ) )
= $true )
| ( ( SV532
= ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ SV532 @ SV14 ) @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2308]) ).
thf(2805,plain,
! [SV533: $i,SV15: $i] :
( ( ( ~ ( class_OrderedGroup_Ogroup__add @ SV15 ) )
= $true )
| ( ( SV533
= ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ SV533 @ SV15 ) @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2309]) ).
thf(2806,plain,
! [SV534: $i,SV16: $i] :
( ( ( ~ ( class_Lattices_Oboolean__algebra @ SV16 ) )
= $true )
| ( ( ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ SV534 @ SV16 ) @ SV16 )
= SV534 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2310]) ).
thf(2807,plain,
! [SV535: $i,SV17: $i] :
( ( ( ~ ( class_OrderedGroup_Ogroup__add @ SV17 ) )
= $true )
| ( ( ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ SV535 @ SV17 ) @ SV17 )
= SV535 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2311]) ).
thf(2808,plain,
! [SV537: $i,SV19: $i] :
( ( ( c_lessequals @ ( c_Message_OkeysFor @ SV19 ) @ ( c_Message_OkeysFor @ SV537 ) @ ( tc_fun @ tc_nat @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV19 @ SV537 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2313]) ).
thf(2809,plain,
! [SV538: $i,SV20: $i] :
( ( ( ~ ( class_Lattices_Oboolean__algebra @ SV20 ) )
= $true )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV538 @ ( c_HOL_Ouminus__class_Ouminus @ SV538 @ SV20 ) @ SV20 )
= ( c_Orderings_Otop__class_Otop @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2314]) ).
thf(2810,plain,
! [SV539: $i,SV21: $i] :
( ( ( ~ ( class_Lattices_Oboolean__algebra @ SV21 ) )
= $true )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_HOL_Ouminus__class_Ouminus @ SV539 @ SV21 ) @ SV539 @ SV21 )
= ( c_Orderings_Otop__class_Otop @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2315]) ).
thf(2811,plain,
! [SV542: $i,SV25: $i] :
( ( ( hBOOL @ ( hAPP @ SV25 @ SV542 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV25 @ c_Public_Okeymode_OEncryption ) )
| ~ ( hBOOL @ ( hAPP @ SV25 @ c_Public_Okeymode_OSignature ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2318]) ).
thf(2812,plain,
! [SV1011: $i,SV543: $i,SV26: $i] :
( ( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV26 )
| ( c_lessequals @ SV543 @ SV1011 @ SV26 )
| ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV1011 @ SV26 ) @ ( c_HOL_Ouminus__class_Ouminus @ SV543 @ SV26 ) @ SV26 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2319]) ).
thf(2813,plain,
! [SV1012: $i,SV544: $i,SV27: $i] :
( ( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV27 )
| ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV544 @ SV27 ) @ ( c_HOL_Ouminus__class_Ouminus @ SV1012 @ SV27 ) @ SV27 )
| ~ ( c_lessequals @ SV1012 @ SV544 @ SV27 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2320]) ).
thf(2814,plain,
! [SV1013: $i,SV545: $i,SV28: $i] :
( ( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV28 @ ( tc_fun @ SV545 @ tc_bool ) ) @ ( c_HOL_Ouminus__class_Ouminus @ SV1013 @ ( tc_fun @ SV545 @ tc_bool ) ) @ ( tc_fun @ SV545 @ tc_bool ) )
| ~ ( c_lessequals @ SV1013 @ SV28 @ ( tc_fun @ SV545 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2321]) ).
thf(2815,plain,
! [SV1014: $i,SV546: $i,SV29: $i] :
( ( ( c_lessequals @ SV29 @ SV546 @ ( tc_fun @ SV1014 @ tc_bool ) )
| ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV546 @ ( tc_fun @ SV1014 @ tc_bool ) ) @ ( c_HOL_Ouminus__class_Ouminus @ SV29 @ ( tc_fun @ SV1014 @ tc_bool ) ) @ ( tc_fun @ SV1014 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2322]) ).
thf(2816,plain,
! [SV1015: $i,SV547: $i,SV30: $i] :
( ( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV30 @ ( tc_fun @ SV547 @ tc_bool ) ) @ ( c_HOL_Ouminus__class_Ouminus @ SV1015 @ ( tc_fun @ SV547 @ tc_bool ) ) @ ( tc_fun @ SV547 @ tc_bool ) )
| ~ ( c_lessequals @ SV1015 @ SV30 @ ( tc_fun @ SV547 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2323]) ).
thf(2817,plain,
! [SV33: $i] :
( ( ( class_Lattices_Oboolean__algebra @ SV33 )
= $false )
| ( ( ( c_HOL_Ouminus__class_Ouminus @ ( c_Orderings_Otop__class_Otop @ SV33 ) @ SV33 )
= ( c_Orderings_Obot__class_Obot @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2325]) ).
thf(2818,plain,
! [SV549: $i,SV35: $i] :
( ( ( ~ ( class_HOL_Ouminus @ SV35 ) )
= $true )
| ( ( ( hAPP @ ( c_HOL_Ouminus__class_Ouminus @ SV549 @ ( tc_fun @ t_a @ SV35 ) ) @ v_x )
= ( c_HOL_Ouminus__class_Ouminus @ ( hAPP @ SV549 @ v_x ) @ SV35 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2326]) ).
thf(2819,plain,
! [SV36: $i] :
( ( ( class_Lattices_Oboolean__algebra @ SV36 )
= $false )
| ( ( ( c_HOL_Ouminus__class_Ouminus @ ( c_Orderings_Obot__class_Obot @ SV36 ) @ SV36 )
= ( c_Orderings_Otop__class_Otop @ SV36 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2327]) ).
thf(2820,plain,
! [SV550: $i,SV38: $i] :
( ( ( SV38
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV550 @ tc_bool ) ) )
= $true )
| ( ( ~ ( c_lessequals @ SV38 @ ( c_HOL_Ouminus__class_Ouminus @ SV38 @ ( tc_fun @ SV550 @ tc_bool ) ) @ ( tc_fun @ SV550 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2328]) ).
thf(2821,plain,
! [SV1016: $i,SV552: $i,SV40: $i] :
( ( ( hBOOL @ ( c_in @ SV40 @ ( c_Event_OinitState @ SV552 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SV552 @ SV40 ) @ ( c_List_Oset @ SV1016 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_OGets @ SV552 @ SV40 ) @ ( c_List_Oset @ SV1016 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV552 @ ( c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1 @ SV552 @ SV40 @ SV1016 ) @ SV40 ) @ ( c_List_Oset @ SV1016 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV552 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( c_in @ SV40 @ ( c_Event_Oknows @ SV552 @ SV1016 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2330]) ).
thf(2822,plain,
! [SV1017: $i,SV553: $i,SV41: $i] :
( ( ! [SY3321: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV41 ) @ SV553 ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV1017 ) @ SY3321 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2331]) ).
thf(2823,plain,
! [SV1018: $i,SV554: $i,SV42: $i] :
( ( ! [SY3322: $i] :
( ( SV42 = SV554 )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV42 ) @ SV1018 ) ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV554 ) @ SY3322 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2332]) ).
thf(2824,plain,
! [SV1019: $i,SV555: $i,SV43: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV43 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV555 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1019 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV43 @ SV555 @ tc_nat ) )
| ~ ( c_lessequals @ SV555 @ ( c_HOL_Ouminus__class_Ouminus @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ ( tc_fun @ tc_nat @ tc_bool ) ) @ ( tc_fun @ tc_nat @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV1019 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2333]) ).
thf(2825,plain,
! [SV1020: $i,SV556: $i,SV44: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV44 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV556 ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV44 @ SV1020 @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV44 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV1020 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV556 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SV1020 @ ( c_HOL_Ouminus__class_Ouminus @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ ( tc_fun @ tc_nat @ tc_bool ) ) @ ( tc_fun @ tc_nat @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV556 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2334]) ).
thf(2826,plain,
! [SV1021: $i,SV557: $i,SV45: $i] :
( ( ( hBOOL @ ( c_in @ SV45 @ ( c_Message_OkeysFor @ SV557 ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV45 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV45 @ SV1021 ) @ SV557 @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2335]) ).
thf(2827,plain,
! [SV1022: $i,SV558: $i,SV46: $i] :
( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ SV46 @ ( c_Event_Oknows @ SV558 @ SV1022 ) @ tc_Message_Omsg ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV46 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ SV558 @ SV1022 ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2336]) ).
thf(2828,plain,
! [SV1023: $i,SV559: $i,SV47: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ SV47 ) @ ( c_Message_OkeysFor @ SV559 ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV47 @ SV1023 ) @ SV559 @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2337]) ).
thf(2829,plain,
! [SV560: $i,SV48: $i] :
( ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV48 ) @ SV560 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV48 ) @ ( c_Message_Oanalz @ SV560 ) @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV48 @ ( c_Message_OkeysFor @ ( c_Message_Oanalz @ SV560 ) ) @ tc_nat ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2338]) ).
thf(2830,plain,
! [SV1024: $i,SV561: $i,SV49: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV49 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV561 @ tc_nat @ tc_Message_Omsg ) @ SV1024 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV49 ) @ ( c_Message_Oanalz @ SV1024 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV49 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV561 @ tc_nat @ tc_Message_Omsg ) @ SV1024 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2339]) ).
thf(2831,plain,
! [SV1025: $i,SV562: $i,SV50: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV50 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV562 @ tc_nat @ tc_Message_Omsg ) @ SV1025 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV50 ) @ ( c_Message_Oanalz @ SV1025 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV50 ) @ ( c_Message_Oanalz @ SV1025 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2340]) ).
thf(2832,plain,
! [SV1026: $i,SV563: $i,SV51: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV51 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV563 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1026 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV51 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1026 ) ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SV563 @ ( c_HOL_Ouminus__class_Ouminus @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ ( tc_fun @ tc_nat @ tc_bool ) ) @ ( tc_fun @ tc_nat @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV1026 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2341]) ).
thf(2833,plain,
! [SV1027: $i,SV567: $i,SV57: $i] :
( ( ( c_Message_OkeysFor @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV57 @ SV567 ) @ SV1027 @ tc_Message_Omsg ) )
= ( c_Message_OkeysFor @ SV1027 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2345]) ).
thf(2834,plain,
! [SV1028: $i,SV569: $i,SV60: $i] :
( ( ( SV60 = SV569 )
| ~ ( hBOOL @ ( c_in @ SV60 @ ( c_Set_Oinsert @ SV569 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1028 @ tc_bool ) ) @ SV1028 ) @ SV1028 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2348]) ).
thf(2835,plain,
! [SV1029: $i,SV570: $i,SV62: $i] :
( ( ( SV62
= ( c_Set_Oinsert @ SV570 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1029 @ tc_bool ) ) @ SV1029 ) )
| ( SV62
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1029 @ tc_bool ) ) )
| ~ ( c_lessequals @ SV62 @ ( c_Set_Oinsert @ SV570 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1029 @ tc_bool ) ) @ SV1029 ) @ ( tc_fun @ SV1029 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2349]) ).
thf(2836,plain,
! [SV571: $i,SV64: $i] :
( ( ( SV64
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV571 @ tc_bool ) ) )
= $true )
| ( ( ~ ( c_lessequals @ SV64 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV571 @ tc_bool ) ) @ ( tc_fun @ SV571 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2350]) ).
thf(2837,plain,
! [SV572: $i,SV65: $i] :
( ( hBOOL @ ( hAPP @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV65 @ tc_bool ) ) @ SV572 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2351]) ).
thf(2838,plain,
! [SV575: $i,SV68: $i] :
( ( ( ~ ( class_Lattices_Obounded__lattice @ SV68 ) )
= $true )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Obot__class_Obot @ SV68 ) @ SV575 @ SV68 )
= SV575 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2354]) ).
thf(2839,plain,
! [SV576: $i,SV69: $i] :
( ( ( ~ ( class_Lattices_Obounded__lattice @ SV69 ) )
= $true )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV576 @ ( c_Orderings_Obot__class_Obot @ SV69 ) @ SV69 )
= SV576 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2355]) ).
thf(2840,plain,
! [SV577: $i,SV70: $i] :
( ( ( ~ ( class_Orderings_Obot @ SV70 ) )
= $true )
| ( ( c_lessequals @ ( c_Orderings_Obot__class_Obot @ SV70 ) @ SV577 @ SV70 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2356]) ).
thf(2841,plain,
! [SV72: $i] :
( ( ( class_Orderings_Obot @ SV72 )
= $false )
| ( ( ( hAPP @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ t_a @ SV72 ) ) @ v_x )
= ( c_Orderings_Obot__class_Obot @ SV72 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2358]) ).
thf(2842,plain,
! [SV1030: $i,SV579: $i,SV73: $i] :
( ( ( c_Set_Oinsert @ SV73 @ ( c_Set_Oinsert @ SV579 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1030 @ tc_bool ) ) @ SV1030 ) @ SV1030 )
= ( c_Set_Oinsert @ SV579 @ ( c_Set_Oinsert @ SV73 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1030 @ tc_bool ) ) @ SV1030 ) @ SV1030 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2359]) ).
thf(2843,plain,
! [SV1031: $i,SV580: $i,SV74: $i] :
( ( ( c_Set_Oimage @ SV74 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV580 @ tc_bool ) ) @ SV580 @ SV1031 )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1031 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2360]) ).
thf(2844,plain,
! [SV581: $i,SV75: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ SV75 ) @ ( c_Set_Oimage @ c_Message_OinvKey @ SV581 @ tc_nat @ tc_nat ) @ tc_nat ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV75 @ SV581 @ tc_nat ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2361]) ).
thf(2845,plain,
! [SV582: $i,SV76: $i] :
( ( ( hBOOL @ ( c_in @ SV76 @ SV582 @ tc_nat ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ SV76 ) @ ( c_Set_Oimage @ c_Message_OinvKey @ SV582 @ tc_nat @ tc_nat ) @ tc_nat ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2362]) ).
thf(2846,plain,
! [SV1032: $i,SV583: $i,SV77: $i] :
( ( ( c_Set_Oinsert @ SV77 @ SV583 @ SV1032 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oinsert @ SV77 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1032 @ tc_bool ) ) @ SV1032 ) @ SV583 @ ( tc_fun @ SV1032 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2363]) ).
thf(2847,plain,
! [SV1033: $i,SV584: $i,SV78: $i] :
( ( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV78 @ tc_bool ) )
= ( c_Set_Oimage @ SV584 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1033 @ tc_bool ) ) @ SV1033 @ SV78 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2364]) ).
thf(2848,plain,
! [SV585: $i,SV79: $i] :
( ( hBOOL @ ( c_in @ SV79 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV585 @ tc_bool ) ) @ SV585 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2365]) ).
thf(2849,plain,
! [SV1034: $i,SV586: $i,SV80: $i] :
( ( ( hBOOL @ ( hAPP @ SV80 @ SV586 ) )
| ~ ( hBOOL @ ( c_in @ SV586 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1034 @ tc_bool ) ) @ SV1034 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2366]) ).
thf(2850,plain,
! [SV587: $i,SV81: $i] :
( ( hBOOL @ ( c_in @ SV81 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV587 @ tc_bool ) ) @ SV587 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2367]) ).
thf(2851,plain,
! [SV588: $i,SV82: $i] :
( ( hBOOL @ ( c_in @ SV82 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV588 @ tc_bool ) ) @ SV588 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2368]) ).
thf(2852,plain,
! [SV1035: $i,SV589: $i,SV83: $i] :
( ( ~ ( hBOOL @ ( hAPP @ SV83 @ SV589 ) )
| ~ ( hBOOL @ ( c_in @ SV589 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1035 @ tc_bool ) ) @ SV1035 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2369]) ).
thf(2853,plain,
! [SV1036: $i,SV590: $i,SV84: $i] :
( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV84 @ SV590 ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV1036 @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2370]) ).
thf(2854,plain,
! [SV591: $i,SV85: $i] :
( ( ( hBOOL @ ( c_in @ SV85 @ SV591 @ tc_nat ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV85 ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV591 @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2371]) ).
thf(2855,plain,
! [SV592: $i,SV86: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV86 ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV592 @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV86 @ SV592 @ tc_nat ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2372]) ).
thf(2856,plain,
! [SV593: $i,SV87: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV87 ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV593 @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2373]) ).
thf(2857,plain,
! [SV1037: $i,SV595: $i,SV89: $i] :
( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ SV89 @ ( c_Set_Oinsert @ SV595 @ SV1037 @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV89 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV595 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Message_Oparts @ SV1037 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2375]) ).
thf(2858,plain,
! [SV1038: $i,SV596: $i,SV91: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV91 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV596 @ tc_nat @ tc_Message_Omsg ) @ SV1038 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV91 ) @ ( c_Message_Oanalz @ SV1038 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV91 @ SV596 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2377]) ).
thf(2859,plain,
! [SV1039: $i,SV597: $i,SV92: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV92 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV597 @ tc_nat @ tc_Message_Omsg ) @ SV1039 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV92 @ SV597 @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV92 ) @ ( c_Message_Oanalz @ SV1039 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2378]) ).
thf(2860,plain,
! [SV1040: $i,SV598: $i,SV93: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV93 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV598 @ tc_nat @ tc_Message_Omsg ) @ SV1040 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV93 @ SV598 @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV93 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV598 @ tc_nat @ tc_Message_Omsg ) @ SV1040 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2379]) ).
thf(2861,plain,
! [SV1041: $i,SV599: $i,SV94: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV94 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV599 @ tc_nat @ tc_Message_Omsg ) @ SV1041 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV94 @ SV599 @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV94 @ SV599 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2380]) ).
thf(2862,plain,
! [SV600: $i,SV95: $i] :
( ( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV95 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Event_Oused @ SV600 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV95 @ ( c_Event_Oused @ SV600 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2381]) ).
thf(2863,plain,
! [SV1042: $i,SV602: $i,SV97: $i] :
( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ SV97 ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV602 ) @ SV1042 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2383]) ).
thf(2864,plain,
! [SV1043: $i,SV603: $i,SV98: $i] :
( ( ! [SY3323: $i] :
( ( hBOOL @ ( c_in @ SV98 @ SV603 @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV1043 ) @ SV98 ) ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SY3323 ) @ SV603 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2384]) ).
thf(2865,plain,
! [SV1044: $i,SV604: $i,SV99: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV99 ) @ SV604 ) ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV99 ) @ SV1044 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV604 @ SV1044 @ tc_Message_Oagent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2385]) ).
thf(2866,plain,
! [SV1045: $i,SV605: $i,SV100: $i] :
( ( ( hBOOL @ ( c_in @ SV100 @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV605 ) ) @ ( c_Message_Oparts @ SV605 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1045 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV605 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV100 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV1045 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2386]) ).
thf(2867,plain,
! [SV1046: $i,SV606: $i,SV101: $i] :
( ( ! [SY3324: $i] :
( ( c_Event_Oused @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV101 @ SV606 @ SV1046 ) @ SY3324 @ tc_Event_Oevent ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV1046 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Event_Oused @ SY3324 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2387]) ).
thf(2868,plain,
! [SV1047: $i,SV607: $i,SV102: $i] :
( ( ( c_Event_Oused @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV102 @ SV607 ) @ SV1047 @ tc_Event_Oevent ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV607 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Event_Oused @ SV1047 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2388]) ).
thf(2869,plain,
! [SV608: $i,SV103: $i] :
( ( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV103 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV608 ) ) @ ( c_Message_Oparts @ SV608 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV103 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV608 ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2389]) ).
thf(2870,plain,
! [SV1048: $i,SV609: $i,SV104: $i] :
( ( ! [SY3325: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV104 ) ) @ ( c_Message_Oparts @ SV609 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV104 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1048 @ SV609 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SY3325 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV609 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV104 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SY3325 @ SV1048 @ tc_Message_Omsg ) ) ) @ tc_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2390]) ).
thf(2871,plain,
! [SV610: $i,SV105: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV105 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV610 ) ) ) @ tc_nat ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV610 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ SV105 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV105 ) @ ( c_Event_Oused @ SV610 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2391]) ).
thf(2872,plain,
! [SV1049: $i,SV611: $i,SV106: $i] :
( ( ! [SY3326: $i,SY3327: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ SV106 @ SV611 @ SV1049 @ SY3326 ) @ ( c_Set_Oimage @ SV106 @ SY3327 @ SV1049 @ SY3326 ) @ ( tc_fun @ SY3326 @ tc_bool ) )
= ( c_Set_Oimage @ SV106 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV611 @ SY3327 @ ( tc_fun @ SV1049 @ tc_bool ) ) @ SV1049 @ SY3326 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2392]) ).
thf(2873,plain,
! [SV1050: $i,SV612: $i,SV107: $i] :
( ( ! [SY3328: $i,SY3329: $i] :
( ( c_Set_Oimage @ SV107 @ ( c_Set_Oinsert @ SV612 @ SV1050 @ SY3328 ) @ SY3328 @ SY3329 )
= ( c_Set_Oinsert @ ( hAPP @ SV107 @ SV612 ) @ ( c_Set_Oimage @ SV107 @ SV1050 @ SY3328 @ SY3329 ) @ SY3329 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2393]) ).
thf(2874,plain,
! [SV1051: $i,SV613: $i,SV108: $i] :
( ( ! [SY3330: $i,SY3331: $i] :
( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV108 @ SV613 @ ( tc_fun @ SV1051 @ tc_bool ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY3330 @ SY3331 @ ( tc_fun @ SV1051 @ tc_bool ) ) @ ( tc_fun @ SV1051 @ tc_bool ) )
| ~ ( c_lessequals @ SV613 @ SY3331 @ ( tc_fun @ SV1051 @ tc_bool ) )
| ~ ( c_lessequals @ SV108 @ SY3330 @ ( tc_fun @ SV1051 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2394]) ).
thf(2875,plain,
! [SV615: $i,SV110: $i] :
( ( ( ~ ( class_Orderings_Otop @ SV110 ) )
= $true )
| ( ( c_lessequals @ SV615 @ ( c_Orderings_Otop__class_Otop @ SV110 ) @ SV110 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2396]) ).
thf(2876,plain,
! [SV616: $i,SV111: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV111 ) @ SV616 ) ) @ c_Message_OsymKeys @ tc_nat ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2397]) ).
thf(2877,plain,
! [SV1052: $i,SV617: $i,SV112: $i] :
( ( ! [SY3332: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV112 )
| ( c_lessequals @ SV617 @ SV1052 @ SV112 )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY3332 @ SV617 @ SV112 ) @ SV1052 @ SV112 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2398]) ).
thf(2878,plain,
! [SV1053: $i,SV618: $i,SV113: $i] :
( ( ! [SY3333: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV113 )
| ( c_lessequals @ SV618 @ SV1053 @ SV113 )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV618 @ SY3333 @ SV113 ) @ SV1053 @ SV113 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2399]) ).
thf(2879,plain,
! [SV1054: $i,SV619: $i,SV114: $i] :
( ( ! [SY3334: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV114 )
| ( c_lessequals @ SV619 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1054 @ SY3334 @ SV114 ) @ SV114 )
| ~ ( c_lessequals @ SV619 @ SY3334 @ SV114 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2400]) ).
thf(2880,plain,
! [SV1055: $i,SV620: $i,SV115: $i] :
( ( ! [SY3335: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV115 )
| ( c_lessequals @ SV620 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1055 @ SY3335 @ SV115 ) @ SV115 )
| ~ ( c_lessequals @ SV620 @ SV1055 @ SV115 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2401]) ).
thf(2881,plain,
! [SV1056: $i,SV621: $i,SV116: $i] :
( ( ! [SY3336: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV116 )
| ( c_lessequals @ SV621 @ SV1056 @ SV116 )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY3336 @ SV621 @ SV116 ) @ SV1056 @ SV116 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2402]) ).
thf(2882,plain,
! [SV1057: $i,SV622: $i,SV117: $i] :
( ( ! [SY3337: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV117 )
| ( c_lessequals @ SV622 @ SV1057 @ SV117 )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV622 @ SY3337 @ SV117 ) @ SV1057 @ SV117 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2403]) ).
thf(2883,plain,
! [SV1058: $i,SV623: $i,SV118: $i] :
( ( ! [SY3338: $i] :
( ( c_lessequals @ SV118 @ SV623 @ ( tc_fun @ SV1058 @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV118 @ SY3338 @ ( tc_fun @ SV1058 @ tc_bool ) ) @ SV623 @ ( tc_fun @ SV1058 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2404]) ).
thf(2884,plain,
! [SV1059: $i,SV624: $i,SV119: $i] :
( ( ! [SY3339: $i] :
( ( c_lessequals @ SV119 @ SV624 @ ( tc_fun @ SV1059 @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY3339 @ SV119 @ ( tc_fun @ SV1059 @ tc_bool ) ) @ SV624 @ ( tc_fun @ SV1059 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2405]) ).
thf(2885,plain,
! [SV1060: $i,SV625: $i,SV120: $i] :
( ( ! [SY3340: $i] :
( ~ ( class_Orderings_Oorder @ SV120 )
| ( c_lessequals @ SV625 @ SV1060 @ SV120 )
| ~ ( c_lessequals @ SV625 @ SY3340 @ SV120 )
| ~ ( c_lessequals @ SY3340 @ SV1060 @ SV120 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2406]) ).
thf(2886,plain,
! [SV1061: $i,SV626: $i,SV121: $i] :
( ( ! [SY3341: $i] :
( ~ ( class_Orderings_Opreorder @ SV121 )
| ( c_lessequals @ SV626 @ SV1061 @ SV121 )
| ~ ( c_lessequals @ SY3341 @ SV1061 @ SV121 )
| ~ ( c_lessequals @ SV626 @ SY3341 @ SV121 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2407]) ).
thf(2887,plain,
! [SV1062: $i,SV629: $i,SV124: $i] :
( ( ! [SY3342: $i] :
( ( c_lessequals @ SV124 @ SV629 @ ( tc_fun @ SV1062 @ tc_bool ) )
| ~ ( c_lessequals @ SY3342 @ SV629 @ ( tc_fun @ SV1062 @ tc_bool ) )
| ~ ( c_lessequals @ SV124 @ SY3342 @ ( tc_fun @ SV1062 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2410]) ).
thf(2888,plain,
! [SV1063: $i,SV630: $i,SV125: $i] :
( ( ! [SY3343: $i] :
( ( hBOOL @ ( hAPP @ SV125 @ SV630 ) )
| ~ ( hBOOL @ ( hAPP @ SV1063 @ SV630 ) )
| ~ ( c_lessequals @ SV1063 @ SV125 @ ( tc_fun @ SY3343 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2411]) ).
thf(2889,plain,
! [SV631: $i,SV126: $i] :
( ( ( ~ ( class_Orderings_Oorder @ SV126 ) )
= $true )
| ( ( c_lessequals @ SV631 @ SV631 @ SV126 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2412]) ).
thf(2890,plain,
! [SV632: $i,SV127: $i] :
( ( ( ~ ( class_Orderings_Opreorder @ SV127 ) )
= $true )
| ( ( c_lessequals @ SV632 @ SV632 @ SV127 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2413]) ).
thf(2891,plain,
! [SV1064: $i,SV633: $i,SV128: $i] :
( ( ! [SY3344: $i] :
( ( hBOOL @ ( hAPP @ SV128 @ SV633 ) )
| ~ ( c_lessequals @ SV1064 @ SV128 @ ( tc_fun @ SY3344 @ tc_bool ) )
| ~ ( hBOOL @ ( hAPP @ SV1064 @ SV633 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2414]) ).
thf(2892,plain,
! [SV1065: $i,SV634: $i,SV129: $i] :
( ( ! [SY3345: $i,SY3346: $i] :
( ( c_lessequals @ ( c_Set_Oimage @ SV129 @ SV634 @ SV1065 @ SY3345 ) @ ( c_Set_Oimage @ SV129 @ SY3346 @ SV1065 @ SY3345 ) @ ( tc_fun @ SY3345 @ tc_bool ) )
| ~ ( c_lessequals @ SV634 @ SY3346 @ ( tc_fun @ SV1065 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2415]) ).
thf(2893,plain,
! [SV1066: $i,SV635: $i,SV130: $i] :
( ( ! [SY3347: $i,SY3348: $i] :
( ~ ( c_lessequals @ SV130 @ SV635 @ ( tc_fun @ SV1066 @ tc_bool ) )
| ( c_lessequals @ ( c_Set_Oimage @ SY3347 @ SV130 @ SV1066 @ SY3348 ) @ ( c_Set_Oimage @ SY3347 @ SV635 @ SV1066 @ SY3348 ) @ ( tc_fun @ SY3348 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2416]) ).
thf(2894,plain,
! [SV1067: $i,SV636: $i,SV131: $i] :
( ( ! [SY3349: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ SV131 @ SV636 @ SV1067 ) @ ( c_Set_Oinsert @ SV131 @ SY3349 @ SV1067 ) @ ( tc_fun @ SV1067 @ tc_bool ) )
| ~ ( c_lessequals @ SV636 @ SY3349 @ ( tc_fun @ SV1067 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2417]) ).
thf(2895,plain,
! [SV1068: $i,SV637: $i,SV132: $i] :
( ( ! [SY3350: $i,SY3351: $i] :
( ( c_Set_Oimage @ SV132 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV637 @ SV1068 @ ( tc_fun @ SY3350 @ tc_bool ) ) @ SY3350 @ SY3351 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ SV132 @ SV637 @ SY3350 @ SY3351 ) @ ( c_Set_Oimage @ SV132 @ SV1068 @ SY3350 @ SY3351 ) @ ( tc_fun @ SY3351 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2418]) ).
thf(2896,plain,
! [SV1069: $i,SV638: $i,SV133: $i] :
( ( ! [SY3352: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV133 @ SV638 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1069 @ SY3352 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oanalz @ SV638 ) @ ( c_Message_Oanalz @ SY3352 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oanalz @ SV133 ) @ ( c_Message_Oanalz @ SV1069 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2419]) ).
thf(2897,plain,
! [SV1070: $i,SV639: $i,SV135: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV135 )
| ( c_lessequals @ SV639 @ SV1070 @ SV135 )
| ( c_lessequals @ SV1070 @ SV639 @ SV135 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2420]) ).
thf(2898,plain,
! [SV1071: $i,SV640: $i,SV136: $i] :
( ( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV136 @ SV640 @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ SV1071 ) @ ( c_Message_Oparts @ SV640 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV136 @ SV1071 @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2421]) ).
thf(2899,plain,
! [SV1072: $i,SV641: $i,SV138: $i] :
( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV138 ) @ SV641 ) ) @ ( c_Set_Oimage @ c_Public_OshrK @ SV1072 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2422]) ).
thf(2900,plain,
! [SV1073: $i,SV642: $i,SV139: $i] :
( ( ! [SY3353: $i] :
( ( c_lessequals @ SV139 @ SV642 @ ( tc_fun @ SV1073 @ tc_bool ) )
| ~ ( c_lessequals @ SV139 @ ( c_Set_Oinsert @ SY3353 @ SV642 @ SV1073 ) @ ( tc_fun @ SV1073 @ tc_bool ) )
| ( hBOOL @ ( c_in @ SY3353 @ SV139 @ SV1073 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2423]) ).
thf(2901,plain,
! [SV1074: $i,SV643: $i,SV140: $i] :
( ( ! [SY3354: $i] :
( ( c_lessequals @ SV140 @ ( c_Set_Oinsert @ SV643 @ SV1074 @ SY3354 ) @ ( tc_fun @ SY3354 @ tc_bool ) )
| ~ ( c_lessequals @ SV140 @ SV1074 @ ( tc_fun @ SY3354 @ tc_bool ) )
| ( hBOOL @ ( c_in @ SV643 @ SV140 @ SY3354 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2424]) ).
thf(2902,plain,
! [SV1075: $i,SV644: $i,SV141: $i] :
( ( ! [SY3355: $i] :
( ( c_lessequals @ SV141 @ SV644 @ ( tc_fun @ SV1075 @ tc_bool ) )
| ( hBOOL @ ( c_in @ SY3355 @ SV141 @ SV1075 ) )
| ~ ( c_lessequals @ SV141 @ ( c_Set_Oinsert @ SY3355 @ SV644 @ SV1075 ) @ ( tc_fun @ SV1075 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2425]) ).
thf(2903,plain,
! [SV1076: $i,SV645: $i,SV142: $i] :
( ( ! [SY3356: $i] :
( ( c_lessequals @ SV142 @ ( c_Set_Oinsert @ SV645 @ SV1076 @ SY3356 ) @ ( tc_fun @ SY3356 @ tc_bool ) )
| ~ ( c_lessequals @ SV142 @ SV1076 @ ( tc_fun @ SY3356 @ tc_bool ) )
| ( hBOOL @ ( c_in @ SV645 @ SV142 @ SY3356 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2426]) ).
thf(2904,plain,
! [SV1077: $i,SV646: $i,SV143: $i] :
( ( ! [SY3357: $i,SY3358: $i] :
( ( ( c_Set_Oinsert @ ( hAPP @ SV143 @ SV646 ) @ ( c_Set_Oimage @ SV143 @ SV1077 @ SY3357 @ SY3358 ) @ SY3358 )
= ( c_Set_Oimage @ SV143 @ SV1077 @ SY3357 @ SY3358 ) )
| ~ ( hBOOL @ ( c_in @ SV646 @ SV1077 @ SY3357 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2427]) ).
thf(2905,plain,
! [SV1078: $i,SV647: $i,SV144: $i] :
( ( ! [SY3359: $i] :
( ( hBOOL @ ( c_in @ SV144 @ SV647 @ SV1078 ) )
| ~ ( c_lessequals @ ( c_Set_Oinsert @ SV144 @ SY3359 @ SV1078 ) @ SV647 @ ( tc_fun @ SV1078 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2428]) ).
thf(2906,plain,
! [SV1079: $i,SV648: $i,SV145: $i] :
( ( ! [SY3360: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ SV145 @ SV648 @ SV1079 ) @ SY3360 @ ( tc_fun @ SV1079 @ tc_bool ) )
| ~ ( c_lessequals @ SV648 @ SY3360 @ ( tc_fun @ SV1079 @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV145 @ SY3360 @ SV1079 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2429]) ).
thf(2907,plain,
! [SV1080: $i,SV649: $i,SV146: $i] :
( ( c_lessequals @ ( c_List_Oset @ SV146 @ SV649 ) @ ( c_List_Oset @ ( c_List_Olist_OCons @ SV1080 @ SV146 @ SV649 ) @ SV649 ) @ ( tc_fun @ SV649 @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2430]) ).
thf(2908,plain,
! [SV1081: $i,SV650: $i,SV147: $i] :
( ( ( hBOOL @ ( c_in @ SV147 @ ( c_Event_Oused @ SV650 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV147 @ SV1081 ) @ ( c_Event_Oused @ SV650 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2431]) ).
thf(2909,plain,
! [SV1082: $i,SV651: $i,SV148: $i] :
( ( ( hBOOL @ ( c_in @ SV148 @ ( c_Event_Oused @ SV651 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV1082 @ SV148 ) @ ( c_Event_Oused @ SV651 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2432]) ).
thf(2910,plain,
! [SV1083: $i,SV652: $i,SV149: $i] :
( ( ( hBOOL @ ( c_in @ SV149 @ ( c_Message_Oparts @ SV652 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV149 @ ( c_Message_Oparts @ SV1083 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV149 @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1083 @ SV652 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2433]) ).
thf(2911,plain,
! [SV1084: $i,SV653: $i,SV150: $i] :
( ( ( hBOOL @ ( c_in @ SV150 @ ( c_Message_Oparts @ SV653 ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SV1084 @ ( c_Message_Oparts @ SV653 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV150 @ ( c_Message_Oparts @ SV1084 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2434]) ).
thf(2912,plain,
! [SV1085: $i,SV654: $i,SV151: $i] :
( ( ( hBOOL @ ( c_in @ SV151 @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV654 @ SV1085 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV151 @ ( c_Message_Oanalz @ SV1085 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2435]) ).
thf(2913,plain,
! [SV1086: $i,SV655: $i,SV152: $i] :
( ( ( hBOOL @ ( c_in @ SV152 @ ( c_Message_Oanalz @ SV655 ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SV1086 @ ( c_Message_Oanalz @ SV655 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV152 @ ( c_Message_Oanalz @ SV1086 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2436]) ).
thf(2914,plain,
! [SV1087: $i,SV656: $i,SV153: $i] :
( ( ( hBOOL @ ( c_in @ SV153 @ ( c_Message_Oanalz @ SV656 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1087 ) @ ( c_Message_Oanalz @ SV656 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1087 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1087 @ SV153 ) @ ( c_Message_Oanalz @ SV656 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2437]) ).
thf(2915,plain,
! [SV1088: $i,SV657: $i,SV155: $i] :
( ( ( hBOOL @ ( c_in @ SV155 @ ( c_Message_Osynth @ SV657 ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SV1088 @ ( c_Message_Osynth @ SV657 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV155 @ ( c_Message_Osynth @ SV1088 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2438]) ).
thf(2916,plain,
! [SV1089: $i,SV659: $i,SV157: $i] :
( ( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV157 @ SV659 @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1089 ) ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1089 @ SV659 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV157 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1089 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2440]) ).
thf(2917,plain,
! [SV661: $i,SV160: $i] :
( ( ( c_lessequals @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV160 ) ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV661 ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV160 @ SV661 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2442]) ).
thf(2918,plain,
! [SV1090: $i,SV664: $i,SV164: $i] :
( ( c_lessequals @ ( c_Event_Oknows @ SV164 @ SV664 ) @ ( c_Event_Oknows @ SV164 @ ( c_List_Olist_OCons @ SV1090 @ SV664 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2445]) ).
thf(2919,plain,
! [SV1091: $i,SV665: $i,SV165: $i] :
( ( ( c_Event_Oused @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV165 @ SV665 ) @ SV1091 @ tc_Event_Oevent ) )
= ( c_Event_Oused @ SV1091 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2446]) ).
thf(2920,plain,
! [SV666: $i,SV166: $i] :
( ( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV166 @ SV666 @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV666 ) ) @ ( c_Message_Oparts @ SV666 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV166 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV666 ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2447]) ).
thf(2921,plain,
! [SV1092: $i,SV667: $i,SV167: $i] :
( ( ! [SY3361: $i] :
( ( hBOOL @ ( c_in @ SV167 @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV667 @ SV1092 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY3361 @ ( c_Message_Oparts @ SV1092 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV167 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SY3361 @ SV667 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2448]) ).
thf(2922,plain,
! [SV1093: $i,SV668: $i,SV168: $i] :
( ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV168 @ SV668 @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ SV668 ) )
| ~ ( c_lessequals @ SV1093 @ SV668 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV168 @ ( c_Message_Oanalz @ SV1093 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2449]) ).
thf(2923,plain,
! [SV1094: $i,SV669: $i,SV169: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV169 @ SV669 ) @ SV1094 @ tc_Message_Omsg ) ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV169 @ SV669 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV669 @ SV1094 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2450]) ).
thf(2924,plain,
! [SV1095: $i,SV672: $i,SV172: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ ( c_Public_OpublicKey @ SV172 ) @ SV672 ) ) @ ( c_Event_Oused @ SV1095 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2453]) ).
thf(2925,plain,
! [SV673: $i,SV173: $i] :
( ( ( hBOOL @ ( c_in @ SV173 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV673 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV173 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV173 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV673 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2454]) ).
thf(2926,plain,
! [SV1096: $i,SV674: $i,SV174: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV174 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV674 ) ) @ tc_Message_Omsg ) )
| ( SV174 = SV1096 )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV174 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV1096 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV674 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV1096 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV674 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2455]) ).
thf(2927,plain,
! [SV1097: $i,SV675: $i,SV175: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV175 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV675 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1097 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV175 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1097 ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV675 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV1097 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2456]) ).
thf(2928,plain,
! [SV1098: $i,SV676: $i,SV176: $i] :
( ( ! [SY3362: $i,SY3363: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV176 @ SV676 ) @ ( c_Event_Oknows @ SV176 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV1098 @ SY3362 @ SY3363 ) @ SV676 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2457]) ).
thf(2929,plain,
! [SV1099: $i,SV677: $i,SV177: $i] :
( ( ! [SY3364: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV177 @ SV677 ) @ ( c_Event_Oknows @ SV177 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV1099 @ SY3364 ) @ SV677 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2458]) ).
thf(2930,plain,
! [SV1100: $i,SV678: $i,SV178: $i] :
( ( ! [SY3365: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV178 @ SV678 ) @ ( c_Event_Oknows @ SV178 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV1100 @ SY3365 ) @ SV678 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2459]) ).
thf(2931,plain,
! [SV1101: $i,SV679: $i,SV179: $i] :
( ( ! [SY3366: $i,SY3367: $i,SY3368: $i,SY3369: $i] :
( ~ ( hBOOL @ ( c_in @ SV179 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV679 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1101 @ ( c_Message_Omsg_OCrypt @ SY3366 @ ( c_Message_Omsg_OMPair @ SY3367 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3368 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV179 ) @ SY3369 ) ) ) ) ) @ ( c_List_Oset @ SV679 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2460]) ).
thf(2932,plain,
! [SV680: $i,SV180: $i] :
( ( ( hBOOL @ ( c_in @ SV180 @ ( c_Event_Oused @ SV680 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV180 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV680 ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2461]) ).
thf(2933,plain,
! [SV1102: $i,SV681: $i,SV181: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV181 ) @ SV681 ) ) ) @ ( c_Event_Oused @ SV1102 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2462]) ).
thf(2934,plain,
! [SV1103: $i,SV682: $i,SV182: $i] :
( ( ! [SY3370: $i] :
( ( hBOOL @ ( c_in @ SV182 @ ( c_Event_Oused @ SV682 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1103 @ SY3370 @ SV182 ) @ ( c_List_Oset @ SV682 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2463]) ).
thf(2935,plain,
! [SV1104: $i,SV683: $i,SV183: $i] :
( ( ! [SY3371: $i,SY3372: $i,SY3373: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV183 @ SV683 @ ( c_Message_Omsg_OCrypt @ SV1104 @ ( c_Message_Omsg_ONonce @ SY3371 ) ) ) @ SY3372 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3373 @ SV183 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV183 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1104 ) @ ( c_Message_Omsg_OAgent @ SV683 ) ) ) ) @ ( c_List_Oset @ SY3372 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1104 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SY3371 ) @ ( c_Event_Oused @ SY3372 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SY3372 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2464]) ).
thf(2936,plain,
! [SV1105: $i,SV684: $i,SV184: $i] :
( ( ! [SY3374: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV184 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV684 @ SV1105 @ SY3374 ) @ SV184 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2465]) ).
thf(2937,plain,
! [SV1106: $i,SV685: $i,SV185: $i] :
( ( ( hBOOL @ ( c_in @ SV185 @ ( c_Event_Oused @ SV685 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SV1106 @ SV185 ) @ ( c_List_Oset @ SV685 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2466]) ).
thf(2938,plain,
! [SV1107: $i,SV686: $i,SV186: $i] :
( ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV186 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV686 @ SV1107 ) @ SV186 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2467]) ).
thf(2939,plain,
! [SV1108: $i,SV687: $i,SV187: $i] :
( ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV187 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV687 @ SV1108 ) @ SV187 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2468]) ).
thf(2940,plain,
! [SV1109: $i,SV688: $i,SV188: $i] :
( ( ! [SY3375: $i,SY3376: $i,SY3377: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV188 @ SV688 @ ( c_Message_Omsg_OCrypt @ SV1109 @ ( c_Message_Omsg_ONonce @ SY3375 ) ) ) @ SY3376 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3377 @ SV188 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV188 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1109 ) @ ( c_Message_Omsg_OAgent @ SV688 ) ) ) ) @ ( c_List_Oset @ SY3376 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1109 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SY3375 ) @ ( c_Event_Oused @ SY3376 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY3376 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2469]) ).
thf(2941,plain,
! [SV1110: $i,SV689: $i,SV189: $i] :
( ( ! [SY3378: $i,SY3379: $i,SY3380: $i] :
( ~ ( hBOOL @ ( c_in @ SV189 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV689 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SV1110 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1110 ) @ ( c_Message_Omsg_OMPair @ SY3378 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3379 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV189 ) @ SY3380 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV689 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2470]) ).
thf(2942,plain,
! [SV1111: $i,SV690: $i,SV190: $i] :
( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV190 @ SV690 @ ( tc_fun @ SV1111 @ tc_bool ) )
= SV190 )
| ~ ( c_lessequals @ SV690 @ SV190 @ ( tc_fun @ SV1111 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2471]) ).
thf(2943,plain,
! [SV1112: $i,SV691: $i,SV191: $i] :
( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV191 @ SV691 @ ( tc_fun @ SV1112 @ tc_bool ) )
= SV691 )
| ~ ( c_lessequals @ SV191 @ SV691 @ ( tc_fun @ SV1112 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2472]) ).
thf(2944,plain,
! [SV1113: $i,SV692: $i,SV192: $i] :
( ( ~ ( class_Lattices_Oupper__semilattice @ SV192 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV692 @ SV1113 @ SV192 )
= SV1113 )
| ~ ( c_lessequals @ SV692 @ SV1113 @ SV192 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2473]) ).
thf(2945,plain,
! [SV1114: $i,SV693: $i,SV193: $i] :
( ( ~ ( class_Lattices_Oupper__semilattice @ SV193 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV693 @ SV1114 @ SV193 )
= SV693 )
| ~ ( c_lessequals @ SV1114 @ SV693 @ SV193 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2474]) ).
thf(2946,plain,
! [SV1115: $i,SV694: $i,SV194: $i] :
( ( ~ ( class_Orderings_Oorder @ SV194 )
| ( SV694 = SV1115 )
| ~ ( c_lessequals @ SV694 @ SV1115 @ SV194 )
| ~ ( c_lessequals @ SV1115 @ SV694 @ SV194 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2475]) ).
thf(2947,plain,
! [SV1116: $i,SV695: $i,SV195: $i] :
( ( ~ ( class_Orderings_Oorder @ SV195 )
| ( SV695 = SV1116 )
| ~ ( c_lessequals @ SV1116 @ SV695 @ SV195 )
| ~ ( c_lessequals @ SV695 @ SV1116 @ SV195 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2476]) ).
thf(2948,plain,
! [SV1117: $i,SV696: $i,SV196: $i] :
( ( ~ ( class_Orderings_Oorder @ SV196 )
| ( SV696 = SV1117 )
| ~ ( c_lessequals @ SV1117 @ SV696 @ SV196 )
| ~ ( c_lessequals @ SV696 @ SV1117 @ SV196 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2477]) ).
thf(2949,plain,
! [SV1118: $i,SV697: $i,SV197: $i] :
( ( ( SV197 = SV697 )
| ~ ( c_lessequals @ SV697 @ SV197 @ ( tc_fun @ SV1118 @ tc_bool ) )
| ~ ( c_lessequals @ SV197 @ SV697 @ ( tc_fun @ SV1118 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2478]) ).
thf(2950,plain,
! [SV1119: $i,SV698: $i,SV198: $i] :
( ( ( SV198 = SV698 )
| ~ ( c_lessequals @ SV698 @ SV198 @ ( tc_fun @ SV1119 @ tc_bool ) )
| ~ ( c_lessequals @ SV198 @ SV698 @ ( tc_fun @ SV1119 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2479]) ).
thf(2951,plain,
! [SV199: $i] :
( ( ( class_Orderings_Otop @ SV199 )
= $false )
| ( ( ( hAPP @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ t_a @ SV199 ) ) @ v_x )
= ( c_Orderings_Otop__class_Otop @ SV199 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2480]) ).
thf(2952,plain,
! [SV204: $i] :
( ( ( hBOOL @ ( c_in @ SV204 @ c_Message_OsymKeys @ tc_nat ) )
= $false )
| ( ( ( hAPP @ c_Message_OinvKey @ SV204 )
= SV204 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2484]) ).
thf(2953,plain,
! [SV1120: $i,SV702: $i,SV205: $i] :
( ( ! [SY3381: $i] :
( ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV205 @ SV702 @ ( tc_fun @ SV1120 @ tc_bool ) ) @ SY3381 ) )
| ~ ( hBOOL @ ( hAPP @ SV205 @ SY3381 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2485]) ).
thf(2954,plain,
! [SV1121: $i,SV703: $i,SV206: $i] :
( ( ! [SY3382: $i] :
( ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV206 @ SV703 @ ( tc_fun @ SV1121 @ tc_bool ) ) @ SY3382 ) )
| ~ ( hBOOL @ ( hAPP @ SV703 @ SY3382 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2486]) ).
thf(2955,plain,
! [SV1122: $i,SV704: $i,SV207: $i] :
( ( ! [SY3383: $i] :
( ( hBOOL @ ( hAPP @ SV207 @ SV704 ) )
| ( hBOOL @ ( hAPP @ SV1122 @ SV704 ) )
| ~ ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1122 @ SV207 @ ( tc_fun @ SY3383 @ tc_bool ) ) @ SV704 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2487]) ).
thf(2956,plain,
! [SV208: $i] :
( ( ( hBOOL @ ( c_in @ SV208 @ c_Message_OsymKeys @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ SV208 ) @ c_Message_OsymKeys @ tc_nat ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2488]) ).
thf(2957,plain,
! [SV209: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ SV209 ) @ c_Message_OsymKeys @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV209 @ c_Message_OsymKeys @ tc_nat ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2489]) ).
thf(2958,plain,
! [SV1123: $i,SV705: $i,SV210: $i] :
( ( c_lessequals @ SV210 @ ( c_Set_Oinsert @ SV705 @ SV210 @ SV1123 ) @ ( tc_fun @ SV1123 @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2490]) ).
thf(2959,plain,
! [SV709: $i,SV214: $i] :
( ( ( ~ ( class_Lattices_Obounded__lattice @ SV214 ) )
= $true )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Otop__class_Otop @ SV214 ) @ SV709 @ SV214 )
= ( c_Orderings_Otop__class_Otop @ SV214 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2494]) ).
thf(2960,plain,
! [SV710: $i,SV215: $i] :
( ( ( ~ ( class_Lattices_Obounded__lattice @ SV215 ) )
= $true )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV710 @ ( c_Orderings_Otop__class_Otop @ SV215 ) @ SV215 )
= ( c_Orderings_Otop__class_Otop @ SV215 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2495]) ).
thf(2961,plain,
! [SV1124: $i,SV711: $i,SV216: $i] :
( ( ! [SY3384: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV216 ) @ SV711 ) ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV1124 ) @ SY3384 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2496]) ).
thf(2962,plain,
! [SV1125: $i,SV712: $i,SV217: $i] :
( ( ! [SY3385: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ SV217 @ ( c_Set_Oinsert @ SV712 @ SV1125 @ SY3385 ) @ ( tc_fun @ SY3385 @ tc_bool ) )
= ( c_Set_Oinsert @ SV712 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV217 @ SV1125 @ ( tc_fun @ SY3385 @ tc_bool ) ) @ SY3385 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2497]) ).
thf(2963,plain,
! [SV1126: $i,SV713: $i,SV218: $i] :
( ( ! [SY3386: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oinsert @ SV218 @ SV713 @ SV1126 ) @ SY3386 @ ( tc_fun @ SV1126 @ tc_bool ) )
= ( c_Set_Oinsert @ SV218 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV713 @ SY3386 @ ( tc_fun @ SV1126 @ tc_bool ) ) @ SV1126 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2498]) ).
thf(2964,plain,
! [SV1127: $i,SV714: $i,SV219: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV219 ) @ SV714 ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV219 ) @ SV1127 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV714 @ SV1127 @ tc_Message_Oagent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2499]) ).
thf(2965,plain,
! [SV1128: $i,SV715: $i,SV220: $i] :
( ( ! [SY3387: $i] :
( ( hBOOL @ ( c_in @ SV220 @ SV715 @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV1128 ) @ SV220 ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SY3387 ) @ SV715 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2500]) ).
thf(2966,plain,
! [SV1129: $i,SV716: $i,SV221: $i] :
( ( ! [SY3388: $i] :
( ( SV221 = SV716 )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV221 ) @ SV1129 ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV716 ) @ SY3388 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2501]) ).
thf(2967,plain,
! [SV1130: $i,SV717: $i,SV222: $i] :
( ( ! [SY3389: $i] :
( ( c_lessequals @ SV222 @ ( c_Set_Oinsert @ SV717 @ SV1130 @ SY3389 ) @ ( tc_fun @ SY3389 @ tc_bool ) )
| ~ ( c_lessequals @ SV222 @ SV1130 @ ( tc_fun @ SY3389 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2502]) ).
thf(2968,plain,
! [SV1131: $i,SV718: $i,SV223: $i] :
( ( ! [SY3390: $i] :
( ( c_lessequals @ SV223 @ SV718 @ ( tc_fun @ SV1131 @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Set_Oinsert @ SY3390 @ SV223 @ SV1131 ) @ SV718 @ ( tc_fun @ SV1131 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2503]) ).
thf(2969,plain,
! [SV719: $i,SV224: $i] :
( ( ( c_lessequals @ ( c_Message_Oparts @ SV224 ) @ ( c_Message_Oparts @ SV719 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV224 @ SV719 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2504]) ).
thf(2970,plain,
! [SV1132: $i,SV720: $i,SV225: $i] :
( ( ! [SY3391: $i,SY3392: $i,SY3393: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ SV225 @ SV720 ) @ SV1132 @ SY3391 ) )
| ~ ( hBOOL @ ( c_in @ SV720 @ SY3392 @ SY3393 ) )
| ~ ( c_lessequals @ ( c_Set_Oimage @ SV225 @ SY3392 @ SY3393 @ SY3391 ) @ SV1132 @ ( tc_fun @ SY3391 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2505]) ).
thf(2971,plain,
! [SV1133: $i,SV721: $i,SV226: $i] :
( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV226 ) @ SV721 ) @ ( c_Set_Oimage @ c_Public_OshrK @ SV1133 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2506]) ).
thf(2972,plain,
! [SV1134: $i,SV722: $i,SV227: $i] :
( ( ~ ( class_Lattices_Olattice @ SV227 )
| ( ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV722 @ SV1134 @ ( tc_fun @ t_a @ SV227 ) ) @ v_x )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( hAPP @ SV722 @ v_x ) @ ( hAPP @ SV1134 @ v_x ) @ SV227 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2507]) ).
thf(2973,plain,
! [SV724: $i,SV229: $i] :
( ( ( ~ ( class_Lattices_Oupper__semilattice @ SV229 ) )
= $true )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV724 @ SV724 @ SV229 )
= SV724 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2509]) ).
thf(2974,plain,
! [SV1135: $i,SV727: $i,SV232: $i] :
( ( ! [SY3394: $i] : ( hBOOL @ ( c_in @ ( hAPP @ SV232 @ SV727 ) @ ( c_Set_Oimage @ SV232 @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SV1135 @ tc_bool ) ) @ SV1135 @ SY3394 ) @ SY3394 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2512]) ).
thf(2975,plain,
! [SV1136: $i,SV728: $i,SV233: $i] :
( ( ! [SY3395: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ SV233 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV728 @ SV1136 @ ( tc_fun @ SY3395 @ tc_bool ) ) @ ( tc_fun @ SY3395 @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV728 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV233 @ SV1136 @ ( tc_fun @ SY3395 @ tc_bool ) ) @ ( tc_fun @ SY3395 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2513]) ).
thf(2976,plain,
! [SV1137: $i,SV729: $i,SV234: $i] :
( ( ! [SY3396: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV234 @ SV729 @ ( tc_fun @ SV1137 @ tc_bool ) ) @ SY3396 @ ( tc_fun @ SV1137 @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV234 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV729 @ SY3396 @ ( tc_fun @ SV1137 @ tc_bool ) ) @ ( tc_fun @ SV1137 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2514]) ).
thf(2977,plain,
! [SV1138: $i,SV730: $i,SV235: $i] :
( ( ! [SY3397: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV235 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV730 @ SV1138 @ SV235 ) @ SY3397 @ SV235 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV730 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1138 @ SY3397 @ SV235 ) @ SV235 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2515]) ).
thf(2978,plain,
! [SV1139: $i,SV731: $i,SV236: $i] :
( ( ! [SY3398: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV236 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV731 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1139 @ SY3398 @ SV236 ) @ SV236 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV1139 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV731 @ SY3398 @ SV236 ) @ SV236 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2516]) ).
thf(2979,plain,
! [SV1140: $i,SV732: $i,SV237: $i] :
( ( ! [SY3399: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ SV237 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV732 @ SV1140 @ ( tc_fun @ SY3399 @ tc_bool ) ) @ ( tc_fun @ SY3399 @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV237 @ SV732 @ ( tc_fun @ SY3399 @ tc_bool ) ) @ SV1140 @ ( tc_fun @ SY3399 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2517]) ).
thf(2980,plain,
! [SV1141: $i,SV733: $i,SV238: $i] :
( ( ! [SY3400: $i] :
( ~ ( class_Lattices_Olattice @ SV238 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV733 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1141 @ SY3400 @ SV238 ) @ SV238 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV1141 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV733 @ SY3400 @ SV238 ) @ SV238 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2518]) ).
thf(2981,plain,
! [SV1142: $i,SV734: $i,SV239: $i] :
( ( ! [SY3401: $i] :
( ~ ( class_Lattices_Olattice @ SV239 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV734 @ SV1142 @ SV239 ) @ SY3401 @ SV239 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV734 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1142 @ SY3401 @ SV239 ) @ SV239 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2519]) ).
thf(2982,plain,
! [SV1143: $i,SV735: $i,SV240: $i] :
( ( ! [SY3402: $i] :
( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV240 @ SV735 @ ( tc_fun @ SV1143 @ tc_bool ) ) @ SY3402 @ ( tc_fun @ SV1143 @ tc_bool ) )
| ~ ( c_lessequals @ SV735 @ SY3402 @ ( tc_fun @ SV1143 @ tc_bool ) )
| ~ ( c_lessequals @ SV240 @ SY3402 @ ( tc_fun @ SV1143 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2520]) ).
thf(2983,plain,
! [SV1144: $i,SV736: $i,SV241: $i] :
( ( c_lessequals @ SV241 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV736 @ SV241 @ ( tc_fun @ SV1144 @ tc_bool ) ) @ ( tc_fun @ SV1144 @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2521]) ).
thf(2984,plain,
! [SV1145: $i,SV737: $i,SV242: $i] :
( ( c_lessequals @ SV242 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV242 @ SV737 @ ( tc_fun @ SV1145 @ tc_bool ) ) @ ( tc_fun @ SV1145 @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2522]) ).
thf(2985,plain,
! [SV1146: $i,SV738: $i,SV243: $i] :
( ( ! [SY3403: $i] :
( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV243 @ SV738 @ ( tc_fun @ SV1146 @ tc_bool ) ) @ SY3403 @ ( tc_fun @ SV1146 @ tc_bool ) )
| ~ ( c_lessequals @ SV738 @ SY3403 @ ( tc_fun @ SV1146 @ tc_bool ) )
| ~ ( c_lessequals @ SV243 @ SY3403 @ ( tc_fun @ SV1146 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2523]) ).
thf(2986,plain,
! [SV1147: $i,SV739: $i,SV244: $i] :
( ( ! [SY3404: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV244 )
| ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV739 @ SV1147 @ SV244 ) @ SY3404 @ SV244 )
| ~ ( c_lessequals @ SV1147 @ SY3404 @ SV244 )
| ~ ( c_lessequals @ SV739 @ SY3404 @ SV244 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2524]) ).
thf(2987,plain,
! [SV1148: $i,SV740: $i,SV245: $i] :
( ( ~ ( class_Lattices_Oupper__semilattice @ SV245 )
| ( c_lessequals @ SV740 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV740 @ SV1148 @ SV245 ) @ SV245 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2525]) ).
thf(2988,plain,
! [SV1149: $i,SV741: $i,SV246: $i] :
( ( ~ ( class_Lattices_Oupper__semilattice @ SV246 )
| ( c_lessequals @ SV741 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1149 @ SV741 @ SV246 ) @ SV246 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2526]) ).
thf(2989,plain,
! [SV1150: $i,SV742: $i,SV247: $i] :
( ( ! [SY3405: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV247 )
| ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV742 @ SV1150 @ SV247 ) @ SY3405 @ SV247 )
| ~ ( c_lessequals @ SV1150 @ SY3405 @ SV247 )
| ~ ( c_lessequals @ SV742 @ SY3405 @ SV247 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2527]) ).
thf(2990,plain,
! [SV1151: $i,SV743: $i,SV248: $i] :
( ( ! [SY3406: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV248 )
| ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV743 @ SV1151 @ SV248 ) @ SY3406 @ SV248 )
| ~ ( c_lessequals @ SV1151 @ SY3406 @ SV248 )
| ~ ( c_lessequals @ SV743 @ SY3406 @ SV248 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2528]) ).
thf(2991,plain,
! [SV1152: $i,SV744: $i,SV249: $i] :
( ( ~ ( class_Lattices_Olattice @ SV249 )
| ( c_lessequals @ SV744 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1152 @ SV744 @ SV249 ) @ SV249 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2529]) ).
thf(2992,plain,
! [SV1153: $i,SV745: $i,SV250: $i] :
( ( ~ ( class_Lattices_Olattice @ SV250 )
| ( c_lessequals @ SV745 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV745 @ SV1153 @ SV250 ) @ SV250 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2530]) ).
thf(2993,plain,
! [SV1154: $i,SV746: $i,SV251: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV251 @ SV746 @ ( tc_fun @ SV1154 @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV746 @ SV251 @ ( tc_fun @ SV1154 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2531]) ).
thf(2994,plain,
! [SV1155: $i,SV747: $i,SV252: $i] :
( ( ~ ( class_Lattices_Oupper__semilattice @ SV252 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV747 @ SV1155 @ SV252 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV1155 @ SV747 @ SV252 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2532]) ).
thf(2995,plain,
! [SV1156: $i,SV748: $i,SV253: $i] :
( ( ~ ( class_Lattices_Olattice @ SV253 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV748 @ SV1156 @ SV253 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV1156 @ SV748 @ SV253 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2533]) ).
thf(2996,plain,
! [SV749: $i,SV254: $i] :
( ( ( c_lessequals @ ( c_Message_Oparts @ SV254 ) @ ( c_Message_Oparts @ SV749 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV254 @ ( c_Message_Oparts @ SV749 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2534]) ).
thf(2997,plain,
! [SV750: $i,SV255: $i] :
( ( ( c_lessequals @ SV255 @ ( c_Message_Oparts @ SV750 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ ( c_Message_Oparts @ SV255 ) @ ( c_Message_Oparts @ SV750 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2535]) ).
thf(2998,plain,
! [SV1157: $i,SV751: $i,SV256: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV256 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV256 @ SV751 @ ( tc_fun @ SV1157 @ tc_bool ) ) @ ( tc_fun @ SV1157 @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV256 @ SV751 @ ( tc_fun @ SV1157 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2536]) ).
thf(2999,plain,
! [SV1158: $i,SV752: $i,SV257: $i] :
( ( ~ ( class_Lattices_Oupper__semilattice @ SV257 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV752 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV752 @ SV1158 @ SV257 ) @ SV257 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV752 @ SV1158 @ SV257 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2537]) ).
thf(3000,plain,
! [SV1159: $i,SV753: $i,SV258: $i] :
( ( ~ ( class_Lattices_Olattice @ SV258 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV753 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV753 @ SV1159 @ SV258 ) @ SV258 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV753 @ SV1159 @ SV258 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2538]) ).
thf(3001,plain,
! [SV754: $i,SV259: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV259 ) @ SV754 ) @ c_Message_OsymKeys @ tc_nat ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2539]) ).
thf(3002,plain,
! [SV1160: $i,SV755: $i,SV260: $i] :
( ( ! [SY3407: $i,SY3408: $i] :
( ( c_Set_Oinsert @ ( hAPP @ SV260 @ SV755 ) @ ( c_Set_Oimage @ SV260 @ SV1160 @ SY3407 @ SY3408 ) @ SY3408 )
= ( c_Set_Oimage @ SV260 @ ( c_Set_Oinsert @ SV755 @ SV1160 @ SY3407 ) @ SY3407 @ SY3408 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2540]) ).
thf(3003,plain,
! [SV1161: $i,SV756: $i,SV261: $i] :
( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ SV261 ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV756 ) @ SV1161 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2541]) ).
thf(3004,plain,
! [SV1162: $i,SV757: $i,SV262: $i] :
( ( ! [SY3409: $i,SY3410: $i] :
( ~ ( class_HOL_Oord @ SV262 )
| ( c_lessequals @ ( hAPP @ SV757 @ SV1162 ) @ ( hAPP @ SY3409 @ SV1162 ) @ SV262 )
| ~ ( c_lessequals @ SV757 @ SY3409 @ ( tc_fun @ SY3410 @ SV262 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2542]) ).
thf(3005,plain,
! [SV758: $i,SV263: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV263 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV263 ) @ ( c_Event_Oused @ SV758 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2543]) ).
thf(3006,plain,
! [SV1163: $i,SV759: $i,SV264: $i] :
( ( ! [SY3411: $i] :
( ( hBOOL @ ( c_in @ SV264 @ SV759 @ SV1163 ) )
| ~ ( hBOOL @ ( c_in @ SV264 @ SY3411 @ SV1163 ) )
| ~ ( c_lessequals @ SY3411 @ SV759 @ ( tc_fun @ SV1163 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2544]) ).
thf(3007,plain,
! [SV1164: $i,SV760: $i,SV265: $i] :
( ( ! [SY3412: $i] :
( ( hBOOL @ ( c_in @ SV265 @ SV760 @ SV1164 ) )
| ~ ( c_lessequals @ SY3412 @ SV760 @ ( tc_fun @ SV1164 @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV265 @ SY3412 @ SV1164 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2545]) ).
thf(3008,plain,
! [SV1165: $i,SV761: $i,SV266: $i] :
( ( ! [SY3413: $i] :
( ( hBOOL @ ( c_in @ SV266 @ SV761 @ SV1165 ) )
| ~ ( hBOOL @ ( c_in @ SV266 @ SY3413 @ SV1165 ) )
| ~ ( c_lessequals @ SY3413 @ SV761 @ ( tc_fun @ SV1165 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2546]) ).
thf(3009,plain,
! [SV1166: $i,SV762: $i,SV267: $i] :
( ( ! [SY3414: $i] :
( ( hBOOL @ ( c_in @ SV267 @ SV762 @ SV1166 ) )
| ~ ( hBOOL @ ( c_in @ SV267 @ SY3414 @ SV1166 ) )
| ~ ( c_lessequals @ SY3414 @ SV762 @ ( tc_fun @ SV1166 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2547]) ).
thf(3010,plain,
! [SV1167: $i,SV763: $i,SV268: $i] :
( ( ! [SY3415: $i] :
( ( hBOOL @ ( c_in @ SV268 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV763 @ SV1167 @ ( tc_fun @ SY3415 @ tc_bool ) ) @ SY3415 ) )
| ~ ( hBOOL @ ( c_in @ SV268 @ SV763 @ SY3415 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2548]) ).
thf(3011,plain,
! [SV1168: $i,SV764: $i,SV269: $i] :
( ( ! [SY3416: $i] :
( ( hBOOL @ ( c_in @ SV269 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV764 @ SV1168 @ ( tc_fun @ SY3416 @ tc_bool ) ) @ SY3416 ) )
| ~ ( hBOOL @ ( c_in @ SV269 @ SV1168 @ SY3416 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2549]) ).
thf(3012,plain,
! [SV1169: $i,SV765: $i,SV270: $i] :
( ( ! [SY3417: $i] :
( ( hBOOL @ ( c_in @ SV270 @ SV765 @ SV1169 ) )
| ( hBOOL @ ( c_in @ SV270 @ SY3417 @ SV1169 ) )
| ~ ( hBOOL @ ( c_in @ SV270 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY3417 @ SV765 @ ( tc_fun @ SV1169 @ tc_bool ) ) @ SV1169 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2550]) ).
thf(3013,plain,
! [SV1170: $i,SV767: $i,SV272: $i] :
( ( ! [SY3418: $i,SY3419: $i] :
( ~ ( hBOOL @ ( c_in @ SV272 @ SV767 @ SV1170 ) )
| ( hBOOL @ ( c_in @ ( hAPP @ SY3418 @ SV272 ) @ ( c_Set_Oimage @ SY3418 @ SV767 @ SV1170 @ SY3419 ) @ SY3419 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2552]) ).
thf(3014,plain,
! [SV1171: $i,SV768: $i,SV273: $i] :
( ( ! [SY3420: $i,SY3421: $i] :
( ~ ( hBOOL @ ( c_in @ SV273 @ SV768 @ SV1171 ) )
| ( hBOOL @ ( c_in @ ( hAPP @ SY3420 @ SV273 ) @ ( c_Set_Oimage @ SY3420 @ SV768 @ SV1171 @ SY3421 ) @ SY3421 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2553]) ).
thf(3015,plain,
! [SV1172: $i,SV769: $i,SV274: $i] :
( ( ! [SY3422: $i,SY3423: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ SV274 @ SV769 ) @ ( c_Set_Oimage @ SV274 @ SV1172 @ SY3422 @ SY3423 ) @ SY3423 ) )
| ~ ( hBOOL @ ( c_in @ SV769 @ SV1172 @ SY3422 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2554]) ).
thf(3016,plain,
! [SV1173: $i,SV770: $i,SV275: $i] :
( ( ! [SY3424: $i,SY3425: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ SV275 @ SV770 ) @ ( c_Set_Oimage @ SV275 @ SV1173 @ SY3424 @ SY3425 ) @ SY3425 ) )
| ~ ( hBOOL @ ( c_in @ SV770 @ SV1173 @ SY3424 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2555]) ).
thf(3017,plain,
! [SV771: $i,SV276: $i] :
( ( ( c_lessequals @ ( c_Message_Oanalz @ SV276 ) @ ( c_Message_Oanalz @ SV771 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV276 @ SV771 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2556]) ).
thf(3018,plain,
! [SV772: $i,SV277: $i] :
( ( ( c_lessequals @ ( c_Message_Oanalz @ SV277 ) @ ( c_Message_Oanalz @ SV772 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV277 @ ( c_Message_Oanalz @ SV772 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2557]) ).
thf(3019,plain,
! [SV773: $i,SV278: $i] :
( ( ( c_lessequals @ SV278 @ ( c_Message_Oanalz @ SV773 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ ( c_Message_Oanalz @ SV278 ) @ ( c_Message_Oanalz @ SV773 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2558]) ).
thf(3020,plain,
! [SV775: $i,SV282: $i] :
( ( ( c_lessequals @ ( c_Message_Osynth @ SV282 ) @ ( c_Message_Osynth @ SV775 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV282 @ SV775 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2560]) ).
thf(3021,plain,
! [SV776: $i,SV283: $i] :
( ( ( c_lessequals @ ( c_Message_Osynth @ SV283 ) @ ( c_Message_Osynth @ SV776 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV283 @ ( c_Message_Osynth @ SV776 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2561]) ).
thf(3022,plain,
! [SV777: $i,SV284: $i] :
( ( ( c_lessequals @ SV284 @ ( c_Message_Osynth @ SV777 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ ( c_Message_Osynth @ SV284 ) @ ( c_Message_Osynth @ SV777 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2562]) ).
thf(3023,plain,
! [SV778: $i,SV285: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ SV285 ) @ ( c_Set_Oimage @ c_Public_OshrK @ SV778 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV285 @ SV778 @ tc_Message_Oagent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2563]) ).
thf(3024,plain,
! [SV779: $i,SV286: $i] :
( ( ( hBOOL @ ( c_in @ SV286 @ SV779 @ tc_Message_Oagent ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ SV286 ) @ ( c_Set_Oimage @ c_Public_OshrK @ SV779 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2564]) ).
thf(3025,plain,
! [SV1174: $i,SV780: $i,SV287: $i] :
( ( ! [SY3426: $i,SY3427: $i,SY3428: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV287 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV287 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV780 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1174 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3426 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1174 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3426 ) @ ( c_Message_Omsg_OAgent @ SV287 ) ) ) ) ) ) ) ) @ SY3427 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3428 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV287 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1174 ) @ ( c_Message_Omsg_ONonce @ SV780 ) ) ) ) @ ( c_List_Oset @ SY3427 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SY3426 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SY3426 ) @ ( c_Event_Oused @ SY3427 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SY3427 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2565]) ).
thf(3026,plain,
! [SV1175: $i,SV781: $i,SV288: $i] :
( ( ! [SY3429: $i,SY3430: $i,SY3431: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV288 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV288 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV781 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1175 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3429 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1175 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3429 ) @ ( c_Message_Omsg_OAgent @ SV288 ) ) ) ) ) ) ) ) @ SY3430 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3431 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV288 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1175 ) @ ( c_Message_Omsg_ONonce @ SV781 ) ) ) ) @ ( c_List_Oset @ SY3430 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SY3429 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SY3429 ) @ ( c_Event_Oused @ SY3430 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY3430 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2566]) ).
thf(3027,plain,
! [SV1176: $i,SV782: $i,SV289: $i] :
( ( ( hBOOL @ ( c_in @ SV289 @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV782 ) ) @ ( c_Message_Oparts @ SV782 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1176 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV782 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV289 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV1176 @ SV782 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2567]) ).
thf(3028,plain,
! [SV1177: $i,SV783: $i,SV290: $i] :
( ( ! [SY3432: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV290 ) @ ( c_Message_Oanalz @ SV783 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV290 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV1177 @ SV783 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SY3432 @ SV783 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV1177 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY3432 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2568]) ).
thf(3029,plain,
! [SV1178: $i,SV784: $i,SV291: $i] :
( ( ! [SY3433: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV291 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV784 @ SV1178 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV291 ) @ ( c_Message_Oanalz @ SV1178 ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SY3433 @ SV1178 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV784 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY3433 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2569]) ).
thf(3030,plain,
! [SV1179: $i,SV785: $i,SV292: $i] :
( ( ! [SY3434: $i,SY3435: $i,SY3436: $i,SY3437: $i] :
( ( hBOOL @ ( c_in @ SV292 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV785 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1179 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV785 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3434 @ SY3435 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3435 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3436 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3437 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1179 ) @ SV292 ) ) ) ) ) @ ( c_List_Oset @ SV785 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2570]) ).
thf(3031,plain,
! [SV1180: $i,SV786: $i,SV293: $i] :
( ( ! [SY3438: $i,SY3439: $i,SY3440: $i,SY3441: $i,SY3442: $i,SY3443: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV293 @ SV786 @ ( c_Message_Omsg_OCrypt @ SV1180 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3438 ) @ ( c_Message_Omsg_ONonce @ SY3438 ) ) ) ) @ SY3439 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3440 @ SV293 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV293 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3441 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV786 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1180 ) @ SY3442 ) ) ) ) ) @ ( c_List_Oset @ SY3439 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3443 @ SV293 @ ( c_Message_Omsg_OCrypt @ SV1180 @ ( c_Message_Omsg_ONonce @ SY3438 ) ) ) @ ( c_List_Oset @ SY3439 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1180 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SY3439 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2571]) ).
thf(3032,plain,
! [SV1181: $i,SV787: $i,SV294: $i] :
( ( ( c_lessequals @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV294 @ SV787 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV787 @ SV1181 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV294 @ SV787 ) @ SV1181 @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV294 ) ) @ ( c_Message_Oanalz @ SV1181 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2572]) ).
thf(3033,plain,
! [SV1182: $i,SV788: $i,SV295: $i] :
( ( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV295 @ SV788 ) @ SV1182 @ tc_Message_Omsg ) ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV295 @ SV788 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV788 @ SV1182 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV295 ) ) @ ( c_Message_Oanalz @ SV1182 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2573]) ).
thf(3034,plain,
! [SV1183: $i,SV789: $i,SV296: $i] :
( ( ! [SY3444: $i,SY3445: $i,SY3446: $i,SY3447: $i,SY3448: $i,SY3449: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV296 @ SV789 @ ( c_Message_Omsg_OCrypt @ SV1183 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3444 ) @ ( c_Message_Omsg_ONonce @ SY3444 ) ) ) ) @ SY3445 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3446 @ SV296 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV296 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3447 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV789 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1183 ) @ SY3448 ) ) ) ) ) @ ( c_List_Oset @ SY3445 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3449 @ SV296 @ ( c_Message_Omsg_OCrypt @ SV1183 @ ( c_Message_Omsg_ONonce @ SY3444 ) ) ) @ ( c_List_Oset @ SY3445 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1183 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SY3445 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2574]) ).
thf(3035,plain,
! [SV1184: $i,SV790: $i,SV297: $i] :
( ( ! [SY3450: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV297 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV297 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV790 ) @ ( c_Message_Omsg_ONonce @ SV1184 ) ) ) ) @ SY3450 @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1184 ) @ ( c_Event_Oused @ SY3450 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SY3450 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2575]) ).
thf(3036,plain,
! [SV1185: $i,SV791: $i,SV298: $i] :
( ( ! [SY3451: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV298 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV298 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV791 ) @ ( c_Message_Omsg_ONonce @ SV1185 ) ) ) ) @ SY3451 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1185 ) @ ( c_Event_Oused @ SY3451 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY3451 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2576]) ).
thf(3037,plain,
! [SV1186: $i,SV792: $i,SV299: $i] :
( ( ! [SY3452: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV299 @ SV792 @ SV1186 ) @ SY3452 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV1186 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY3452 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2577]) ).
thf(3038,plain,
! [SV1187: $i,SV793: $i,SV300: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ ( c_Public_OpublicKey @ SV300 ) @ SV793 ) ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1187 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2578]) ).
thf(3039,plain,
! [SV1188: $i,SV794: $i,SV301: $i] :
( ( ( hBOOL @ ( c_in @ SV301 @ ( c_Message_Oanalz @ SV794 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV1188 ) ) @ ( c_Message_Oanalz @ SV794 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1188 @ SV301 ) @ ( c_Message_Oanalz @ SV794 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2579]) ).
thf(3040,plain,
! [SV1189: $i,SV795: $i,SV302: $i] :
( ( ( c_Event_Oknows @ SV302 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV302 @ SV795 ) @ SV1189 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV795 @ ( c_Event_Oknows @ SV302 @ SV1189 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2580]) ).
thf(3041,plain,
! [SV1190: $i,SV796: $i,SV303: $i] :
( ( ! [SY3453: $i] :
( ( c_Event_Oknows @ SV303 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV303 @ SV796 @ SV1190 ) @ SY3453 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV1190 @ ( c_Event_Oknows @ SV303 @ SY3453 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2581]) ).
thf(3042,plain,
! [SV1191: $i,SV797: $i,SV304: $i] :
( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV304 @ SV797 ) @ SV1191 @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1191 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2582]) ).
thf(3043,plain,
! [SV1192: $i,SV798: $i,SV305: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV305 ) @ SV798 ) ) ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1192 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV798 @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2583]) ).
thf(3044,plain,
! [SV799: $i,SV306: $i] :
( ( ( ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV306 @ SV799 @ tc_Message_Omsg ) ) )
= ( c_Message_Osynth @ ( c_Message_Oanalz @ SV799 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV306 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV799 ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2584]) ).
thf(3045,plain,
! [SV1193: $i,SV801: $i,SV308: $i] :
( ( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV308 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ SV801 ) @ SV1193 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ SV801 ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV308 ) @ SV1193 @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2586]) ).
thf(3046,plain,
! [SV1194: $i,SV802: $i,SV309: $i] :
( ( ! [SY3454: $i] :
( ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV309 @ SV802 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ SV1194 ) @ SY3454 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ SV1194 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV309 @ SV802 ) @ SY3454 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2587]) ).
thf(3047,plain,
! [SV1195: $i,SV803: $i,SV310: $i] :
( ( ! [SY3455: $i] :
( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV310 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV803 @ SV1195 ) @ SY3455 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV803 @ SV1195 ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV310 ) @ SY3455 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2588]) ).
thf(3048,plain,
! [SV804: $i,SV311: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV311 ) @ SV804 @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV311 ) @ ( c_Message_Osynth @ SV804 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2589]) ).
thf(3049,plain,
! [SV805: $i,SV312: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV312 ) @ SV805 @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV312 ) @ ( c_Message_Osynth @ SV805 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2590]) ).
thf(3050,plain,
! [SV806: $i,SV313: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV313 ) @ ( c_Message_Osynth @ SV806 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV313 ) @ SV806 @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2591]) ).
thf(3051,plain,
! [SV1196: $i,SV807: $i,SV314: $i] :
( ( ( hBOOL @ ( c_in @ SV314 @ ( c_Message_Osynth @ SV807 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1196 @ ( c_Message_Osynth @ SV807 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV314 @ ( c_Message_Osynth @ ( c_Set_Oinsert @ SV1196 @ SV807 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2592]) ).
thf(3052,plain,
! [SV1197: $i,SV808: $i,SV315: $i] :
( ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV315 @ SV808 ) @ SV1197 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV315 @ SV808 ) @ ( c_Message_Oanalz @ SV1197 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV315 ) ) @ ( c_Message_Oanalz @ SV1197 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2593]) ).
thf(3053,plain,
! [SV1198: $i,SV809: $i,SV316: $i] :
( ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV316 @ SV809 ) @ SV1198 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV316 @ SV809 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV809 @ SV1198 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV316 ) ) @ ( c_Message_Oanalz @ SV1198 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2594]) ).
thf(3054,plain,
! [SV1199: $i,SV810: $i,SV317: $i] :
( ( ! [SY3456: $i] :
( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV317 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV810 @ SV1199 ) @ SY3456 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV810 @ SV1199 ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV317 ) @ SY3456 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2595]) ).
thf(3055,plain,
! [SV1200: $i,SV811: $i,SV318: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV318 @ SV811 ) @ SV1200 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV318 @ SV811 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV318 @ ( c_Set_Oinsert @ SV811 @ SV1200 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2596]) ).
thf(3056,plain,
! [SV812: $i,SV319: $i] :
( ( ( hBOOL @ ( c_in @ SV319 @ ( c_Message_Oparts @ SV812 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV319 @ ( c_Message_Oanalz @ SV812 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2597]) ).
thf(3057,plain,
! [SV813: $i,SV320: $i] :
( ( ( hBOOL @ ( c_in @ SV320 @ ( c_Message_Oparts @ SV813 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV320 @ ( c_Message_Oanalz @ SV813 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2598]) ).
thf(3058,plain,
! [SV814: $i,SV321: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV321 @ ( c_Message_Oanalz @ SV814 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV321 @ ( c_Message_Oparts @ SV814 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2599]) ).
thf(3059,plain,
! [SV1201: $i,SV815: $i,SV322: $i] :
( ( ( hBOOL @ ( c_in @ SV322 @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV815 @ SV1201 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV322 @ ( c_Message_Oanalz @ SV1201 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2600]) ).
thf(3060,plain,
! [SV816: $i,SV323: $i] :
( ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV323 @ SV816 @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ SV816 ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV323 @ ( c_Message_Oanalz @ SV816 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2601]) ).
thf(3061,plain,
! [SV1202: $i,SV817: $i,SV324: $i] :
( ( ( hBOOL @ ( c_in @ SV324 @ ( c_Message_Oanalz @ SV817 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1202 @ ( c_Message_Oanalz @ SV817 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV324 @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV1202 @ SV817 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2602]) ).
thf(3062,plain,
! [SV1203: $i,SV818: $i,SV325: $i] :
( ( ! [SY3457: $i,SY3458: $i] :
( ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV325 @ SV818 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV1203 @ SY3457 ) @ SY3458 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV1203 @ SY3457 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV325 @ SV818 ) @ SY3458 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2603]) ).
thf(3063,plain,
! [SV1204: $i,SV819: $i,SV326: $i] :
( ( ( hBOOL @ ( c_in @ SV326 @ ( c_Message_Oparts @ SV819 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1204 @ SV326 ) @ ( c_Message_Oparts @ SV819 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2604]) ).
thf(3064,plain,
! [SV1205: $i,SV820: $i,SV327: $i] :
( ( ( hBOOL @ ( c_in @ SV327 @ ( c_Message_Oparts @ SV820 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV327 @ SV1205 ) @ ( c_Message_Oparts @ SV820 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2605]) ).
thf(3065,plain,
! [SV1206: $i,SV821: $i,SV328: $i] :
( ( ( hBOOL @ ( c_in @ SV328 @ ( c_Message_Oparts @ SV821 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV1206 @ SV328 ) @ ( c_Message_Oparts @ SV821 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2606]) ).
thf(3066,plain,
! [SV1207: $i,SV822: $i,SV329: $i] :
( ( ( c_List_Oset @ ( c_List_Olist_OCons @ SV329 @ SV822 @ SV1207 ) @ SV1207 )
= ( c_Set_Oinsert @ SV329 @ ( c_List_Oset @ SV822 @ SV1207 ) @ SV1207 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2607]) ).
thf(3067,plain,
! [SV1208: $i,SV823: $i,SV330: $i] :
( ( ( ( c_Event_Oknows @ SV330 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV330 @ SV823 ) @ SV1208 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV823 @ ( c_Event_Oknows @ SV330 @ SV1208 ) @ tc_Message_Omsg ) )
| ( SV330 = c_Message_Oagent_OSpy ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2608]) ).
thf(3068,plain,
! [SV824: $i,SV334: $i] :
( ( ( hBOOL @ ( c_in @ SV334 @ ( c_Message_Oparts @ SV824 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV334 @ ( c_Message_Oparts @ ( c_Message_Oparts @ SV824 ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2609]) ).
thf(3069,plain,
! [SV825: $i,SV335: $i] :
( ( ( hBOOL @ ( c_in @ SV335 @ ( c_Message_Oparts @ SV825 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV335 @ SV825 @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2610]) ).
thf(3070,plain,
! [SV1209: $i,SV826: $i,SV336: $i] :
( ( ( ( c_Set_Oinsert @ SV336 @ SV826 @ SV1209 )
= SV826 )
| ~ ( hBOOL @ ( c_in @ SV336 @ SV826 @ SV1209 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2611]) ).
thf(3071,plain,
! [SV1210: $i,SV827: $i,SV337: $i] :
( ( hBOOL @ ( c_in @ SV337 @ ( c_Set_Oinsert @ SV337 @ SV827 @ SV1210 ) @ SV1210 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2612]) ).
thf(3072,plain,
! [SV1211: $i,SV828: $i,SV338: $i] :
( ( hBOOL @ ( c_in @ SV338 @ ( c_Set_Oinsert @ SV338 @ SV828 @ SV1211 ) @ SV1211 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2613]) ).
thf(3073,plain,
! [SV1212: $i,SV829: $i,SV339: $i] :
( ( hBOOL @ ( c_in @ SV339 @ ( c_Set_Oinsert @ SV339 @ SV829 @ SV1212 ) @ SV1212 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2614]) ).
thf(3074,plain,
! [SV1213: $i,SV830: $i,SV340: $i] :
( ( ! [SY3459: $i] :
( ( hBOOL @ ( c_in @ SV340 @ SV830 @ SV1213 ) )
| ( SV340 = SY3459 )
| ~ ( hBOOL @ ( c_in @ SV340 @ ( c_Set_Oinsert @ SY3459 @ SV830 @ SV1213 ) @ SV1213 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2615]) ).
thf(3075,plain,
! [SV1214: $i,SV831: $i,SV341: $i] :
( ( ! [SY3460: $i] :
( ( hBOOL @ ( c_in @ SV341 @ ( c_Set_Oinsert @ SV831 @ SV1214 @ SY3460 ) @ SY3460 ) )
| ~ ( hBOOL @ ( c_in @ SV341 @ SV1214 @ SY3460 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2616]) ).
thf(3076,plain,
! [SV1215: $i,SV832: $i,SV342: $i] :
( ( ! [SY3461: $i] :
( ( hBOOL @ ( c_in @ SV342 @ ( c_Set_Oinsert @ SV832 @ SV1215 @ SY3461 ) @ SY3461 ) )
| ~ ( hBOOL @ ( c_in @ SV342 @ SV1215 @ SY3461 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2617]) ).
thf(3077,plain,
! [SV1216: $i,SV833: $i,SV343: $i] :
( ( ! [SY3462: $i] :
( ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV343 @ SV833 @ SV1216 ) @ SY3462 ) )
| ~ ( hBOOL @ ( hAPP @ SV833 @ SY3462 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2618]) ).
thf(3078,plain,
! [SV1217: $i,SV834: $i,SV344: $i] :
( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV344 @ SV834 ) @ SV1217 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV344 @ SV834 ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV834 @ SV1217 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2619]) ).
thf(3079,plain,
! [SV1218: $i,SV835: $i,SV345: $i] :
( ( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV345 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ SV835 ) @ SV1218 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ SV835 ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV345 ) @ SV1218 @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2620]) ).
thf(3080,plain,
! [SV1219: $i,SV836: $i,SV346: $i] :
( ( ! [SY3463: $i] :
( ( c_Set_Oinsert @ SV346 @ ( c_Set_Oinsert @ SV836 @ SV1219 @ SY3463 ) @ SY3463 )
= ( c_Set_Oinsert @ SV836 @ ( c_Set_Oinsert @ SV346 @ SV1219 @ SY3463 ) @ SY3463 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2621]) ).
thf(3081,plain,
! [SV1220: $i,SV838: $i,SV348: $i] :
( ( ( c_Set_Oinsert @ SV348 @ ( c_Set_Oinsert @ SV348 @ SV838 @ SV1220 ) @ SV1220 )
= ( c_Set_Oinsert @ SV348 @ SV838 @ SV1220 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2623]) ).
thf(3082,plain,
! [SV1221: $i,SV839: $i,SV349: $i] :
( ( ! [SY3464: $i] :
( ( hBOOL @ ( hAPP @ SV349 @ SV839 ) )
| ( SV1221 = SV839 )
| ~ ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV1221 @ SV349 @ SY3464 ) @ SV839 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2624]) ).
thf(3083,plain,
! [SV1222: $i,SV840: $i,SV350: $i] :
( ( ! [SY3465: $i] :
( ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV350 @ SV840 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ SV1222 ) @ SY3465 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ SV1222 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV350 @ SV840 ) @ SY3465 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2625]) ).
thf(3084,plain,
! [SV1223: $i,SV841: $i,SV351: $i] :
( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV351 @ SV841 ) @ SV1223 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV351 @ SV841 ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV351 @ ( c_Set_Oinsert @ SV841 @ SV1223 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2626]) ).
thf(3085,plain,
! [SV843: $i,SV354: $i] :
( ( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ SV354 @ SV843 @ tc_Message_Omsg ) )
= ( c_Message_Oparts @ SV843 ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV354 @ ( c_Message_Oparts @ SV843 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2628]) ).
thf(3086,plain,
! [SV1224: $i,SV844: $i,SV355: $i] :
( ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV355 @ SV844 @ SV1224 ) @ SV355 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2629]) ).
thf(3087,plain,
! [SV1225: $i,SV847: $i,SV359: $i] :
( ( ( hBOOL @ ( c_in @ SV359 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV847 @ SV1225 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV359 @ ( c_Message_Oparts @ SV1225 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2632]) ).
thf(3088,plain,
! [SV1226: $i,SV848: $i,SV360: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV360 @ SV848 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1226 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV848 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1226 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV360 ) ) @ ( c_Message_Oanalz @ SV1226 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV360 ) @ ( c_Message_Oanalz @ SV1226 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2633]) ).
thf(3089,plain,
! [SV1227: $i,SV849: $i,SV361: $i] :
( ( ( hBOOL @ ( c_in @ SV361 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV849 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1227 @ SV361 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV849 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV1227 ) ) @ ( c_Message_Oanalz @ SV849 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1227 ) @ ( c_Message_Oanalz @ SV849 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2634]) ).
thf(3090,plain,
! [SV1228: $i,SV850: $i,SV362: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ ( c_Public_OpublicKey @ SV362 ) @ SV850 ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1228 ) ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2635]) ).
thf(3091,plain,
! [SV1229: $i,SV851: $i,SV363: $i] :
( ( ! [SY3466: $i] :
( ~ ( hBOOL @ ( c_in @ SV363 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV851 ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV363 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV1229 @ SY3466 ) @ SV851 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2636]) ).
thf(3092,plain,
! [SV1230: $i,SV852: $i,SV364: $i] :
( ( ( hBOOL @ ( c_in @ SV364 @ ( c_Event_Oknows @ SV852 @ SV1230 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OGets @ SV852 @ SV364 ) @ ( c_List_Oset @ SV1230 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV852 = c_Message_Oagent_OSpy ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2637]) ).
thf(3093,plain,
! [SV1231: $i,SV853: $i,SV365: $i] :
( ( ! [SY3467: $i,SY3468: $i,SY3469: $i,SY3470: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV365 @ SV853 @ SV1231 ) @ SY3467 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV365 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV365 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV853 ) @ ( c_Message_Omsg_ONonce @ SY3468 ) ) ) ) @ ( c_List_Oset @ SY3467 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3469 @ SV365 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV365 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3468 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV853 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3470 ) @ SV1231 ) ) ) ) ) @ ( c_List_Oset @ SY3467 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV365 = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SY3467 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2638]) ).
thf(3094,plain,
! [SV1232: $i,SV854: $i,SV366: $i] :
( ( ! [SY3471: $i] :
( ( hBOOL @ ( c_in @ SV366 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV854 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1232 @ SY3471 @ SV366 ) @ ( c_List_Oset @ SV854 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2639]) ).
thf(3095,plain,
! [SV1233: $i,SV855: $i,SV367: $i] :
( ( ! [SY3472: $i,SY3473: $i,SY3474: $i,SY3475: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV367 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV855 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV1233 ) ) ) ) @ SY3472 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3473 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3473 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV367 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3474 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1233 ) @ SY3475 ) ) ) ) ) @ ( c_List_Oset @ SY3472 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3474 @ SY3473 @ ( c_Message_Omsg_OCrypt @ SV1233 @ ( c_Message_Omsg_ONonce @ SV855 ) ) ) @ ( c_List_Oset @ SY3472 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SY3472 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2640]) ).
thf(3096,plain,
! [SV1234: $i,SV856: $i,SV368: $i] :
( ( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV368 @ SV856 ) @ SV1234 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV856 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1234 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV368 @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2641]) ).
thf(3097,plain,
! [SV1235: $i,SV857: $i,SV369: $i] :
( ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ SV369 @ SV857 ) @ SV1235 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ SV857 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1235 ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1235 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2642]) ).
thf(3098,plain,
! [SV1236: $i,SV858: $i,SV370: $i] :
( ( ! [SY3476: $i,SY3477: $i,SY3478: $i,SY3479: $i,SY3480: $i] :
( ( hBOOL @ ( c_in @ SV370 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV858 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1236 @ SY3476 @ ( c_Message_Omsg_OCrypt @ SY3477 @ ( c_Message_Omsg_OMPair @ SY3478 @ ( c_Message_Omsg_OMPair @ SY3479 @ ( c_Message_Omsg_OMPair @ SY3480 @ SV370 ) ) ) ) ) @ ( c_List_Oset @ SV858 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2643]) ).
thf(3099,plain,
! [SV859: $i,SV371: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV371 ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV859 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV371 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ SV859 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2644]) ).
thf(3100,plain,
! [SV860: $i,SV372: $i] :
( ( ( hBOOL @ ( c_in @ SV372 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV372 ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV860 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV860 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2645]) ).
thf(3101,plain,
! [SV1237: $i,SV861: $i,SV373: $i] :
( ( ! [SY3481: $i,SY3482: $i,SY3483: $i] :
( ( hBOOL @ ( c_in @ SV373 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV861 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1237 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1237 ) @ ( c_Message_Omsg_OMPair @ SY3481 @ ( c_Message_Omsg_OMPair @ SY3482 @ ( c_Message_Omsg_OMPair @ SV373 @ SY3483 ) ) ) ) ) @ ( c_List_Oset @ SV861 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2646]) ).
thf(3102,plain,
! [SV1238: $i,SV862: $i,SV374: $i] :
( ( ! [SY3484: $i,SY3485: $i,SY3486: $i] :
( ( SV374
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV862 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1238 ) @ ( c_Message_Omsg_OAgent @ SY3484 ) ) ) )
| ~ ( hBOOL @ ( c_in @ SY3485 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SY3484 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3484 ) @ ( c_Message_Omsg_OMPair @ SY3486 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV862 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1238 ) @ SV374 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY3485 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2647]) ).
thf(3103,plain,
! [SV1239: $i,SV863: $i,SV375: $i] :
( ( ! [SY3487: $i,SY3488: $i,SY3489: $i,SY3490: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV375 @ SV863 @ SV1239 ) @ SY3487 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV375 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV375 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV863 ) @ ( c_Message_Omsg_ONonce @ SY3488 ) ) ) ) @ ( c_List_Oset @ SY3487 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3489 @ SV375 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV375 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3488 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV863 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3490 ) @ SV1239 ) ) ) ) ) @ ( c_List_Oset @ SY3487 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV375 = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_in @ SY3487 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2648]) ).
thf(3104,plain,
! [SV1240: $i,SV864: $i,SV376: $i] :
( ( ! [SY3491: $i,SY3492: $i,SY3493: $i,SY3494: $i] :
( ( hBOOL @ ( c_in @ SV376 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV864 ) ) @ tc_Message_Omsg ) )
| ( SV376
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1240 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3491 ) @ ( c_Message_Omsg_OAgent @ SY3492 ) ) ) )
| ~ ( hBOOL @ ( c_in @ SV864 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3493 @ SY3492 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3492 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3494 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1240 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3491 ) @ SV376 ) ) ) ) ) @ ( c_List_Oset @ SV864 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2649]) ).
thf(3105,plain,
! [SV1241: $i,SV865: $i,SV377: $i] :
( ( ! [SY3495: $i,SY3496: $i,SY3497: $i,SY3498: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV377 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV865 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV1241 ) ) ) ) @ SY3495 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3496 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3496 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV377 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3497 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1241 ) @ SY3498 ) ) ) ) ) @ ( c_List_Oset @ SY3495 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3497 @ SY3496 @ ( c_Message_Omsg_OCrypt @ SV1241 @ ( c_Message_Omsg_ONonce @ SV865 ) ) ) @ ( c_List_Oset @ SY3495 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SY3495 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2650]) ).
thf(3106,plain,
! [SV1242: $i,SV866: $i,SV378: $i] :
( ( ! [SY3499: $i,SY3500: $i,SY3501: $i] :
( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV378 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV378 ) @ ( c_Message_Omsg_OMPair @ SV866 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1242 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3499 ) @ SY3500 ) ) ) ) ) @ ( c_List_Oset @ SY3501 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SY3501 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SV378 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV378 ) @ ( c_Message_Omsg_OMPair @ SV866 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1242 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3499 ) @ SY3500 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY3501 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2651]) ).
thf(3107,plain,
! [SV1243: $i,SV867: $i,SV379: $i] :
( ( ! [SY3502: $i] :
( ( hBOOL @ ( c_in @ SV379 @ ( c_Event_Oknows @ SV867 @ SV1243 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV867 @ SY3502 @ SV379 ) @ ( c_List_Oset @ SV1243 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2652]) ).
thf(3108,plain,
! [SV1244: $i,SV868: $i,SV380: $i] :
( ( ( hBOOL @ ( c_in @ SV380 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV868 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV1244 @ SV380 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV868 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2653]) ).
thf(3109,plain,
! [SV1245: $i,SV869: $i,SV381: $i] :
( ( ( hBOOL @ ( c_in @ SV381 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV869 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV381 @ SV1245 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV869 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2654]) ).
thf(3110,plain,
! [SV1246: $i,SV870: $i,SV383: $i] :
( ( ( hBOOL @ ( c_in @ SV383 @ ( c_Message_Oanalz @ SV870 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV1246 @ SV383 ) @ ( c_Message_Oanalz @ SV870 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2655]) ).
thf(3111,plain,
! [SV1247: $i,SV871: $i,SV384: $i] :
( ( ( hBOOL @ ( c_in @ SV384 @ ( c_Message_Oanalz @ SV871 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV384 @ SV1247 ) @ ( c_Message_Oanalz @ SV871 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2656]) ).
thf(3112,plain,
! [SV872: $i,SV385: $i] :
( ( ( hBOOL @ ( c_in @ SV385 @ ( c_Message_Oanalz @ SV872 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV385 @ SV872 @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2657]) ).
thf(3113,plain,
! [SV1248: $i,SV873: $i,SV386: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV386 @ SV873 ) @ ( c_Message_Osynth @ SV1248 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV873 @ ( c_Message_Osynth @ SV1248 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV386 @ ( c_Message_Osynth @ SV1248 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2658]) ).
thf(3114,plain,
! [SV1249: $i,SV874: $i,SV387: $i] :
( ( ! [SY3503: $i] :
( ( hBOOL @ ( c_in @ SV387 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV874 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1249 @ SY3503 @ SV387 ) @ ( c_List_Oset @ SV874 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2659]) ).
thf(3115,plain,
! [SV1250: $i,SV875: $i,SV388: $i] :
( ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ SV388 @ SV875 ) @ SV1250 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ SV875 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1250 ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1250 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2660]) ).
thf(3116,plain,
! [SV1251: $i,SV876: $i,SV389: $i] :
( ( ( hBOOL @ ( c_in @ SV389 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV876 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1251 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SV1251 @ SV389 ) @ ( c_List_Oset @ SV876 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2661]) ).
thf(3117,plain,
! [SV1252: $i,SV877: $i,SV390: $i] :
( ( ! [SY3504: $i,SY3505: $i,SY3506: $i,SY3507: $i] :
( ( SV390
= ( hAPP @ c_Public_OshrK @ SV877 ) )
| ~ ( hBOOL @ ( c_in @ SV1252 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV877 @ ( c_Message_Omsg_OCrypt @ SV390 @ ( c_Message_Omsg_OMPair @ SY3504 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3505 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3506 ) @ SY3507 ) ) ) ) ) @ ( c_List_Oset @ SV1252 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2662]) ).
thf(3118,plain,
! [SV878: $i,SV391: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV391 ) @ ( c_Message_Osynth @ SV878 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV391 ) @ SV878 @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2663]) ).
thf(3119,plain,
! [SV879: $i,SV392: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV392 ) @ SV879 @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV392 ) @ ( c_Message_Osynth @ SV879 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2664]) ).
thf(3120,plain,
! [SV1253: $i,SV880: $i,SV393: $i] :
( ( ( hBOOL @ ( c_in @ SV393 @ ( c_Message_Oanalz @ SV880 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV1253 ) ) @ ( c_Message_Oanalz @ SV880 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1253 ) @ SV393 ) @ ( c_Message_Oanalz @ SV880 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2665]) ).
thf(3121,plain,
! [SV1254: $i,SV881: $i,SV394: $i] :
( ( ! [SY3508: $i] :
( ~ ( hBOOL @ ( c_in @ SV394 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV881 ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV394 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV1254 @ SY3508 ) @ SV881 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2666]) ).
thf(3122,plain,
! [SV1255: $i,SV882: $i,SV395: $i] :
( ( ! [SY3509: $i] :
( ( hBOOL @ ( c_in @ SV395 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV882 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1255 @ SY3509 @ SV395 ) @ ( c_List_Oset @ SV882 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2667]) ).
thf(3123,plain,
! [SV1256: $i,SV883: $i,SV396: $i] :
( ( ( hBOOL @ ( c_in @ SV396 @ ( c_Message_Osynth @ SV883 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV1256 @ SV396 ) @ SV883 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV1256 @ SV396 ) @ ( c_Message_Osynth @ SV883 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2668]) ).
thf(3124,plain,
! [SV1257: $i,SV884: $i,SV397: $i] :
( ( ( hBOOL @ ( c_in @ SV397 @ ( c_Message_Osynth @ SV884 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV397 @ SV1257 ) @ SV884 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV397 @ SV1257 ) @ ( c_Message_Osynth @ SV884 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2669]) ).
thf(3125,plain,
! [SV1258: $i,SV885: $i,SV398: $i] :
( ( ! [SY3510: $i,SY3511: $i,SY3512: $i,SY3513: $i,SY3514: $i,SY3515: $i,SY3516: $i] :
( ( SV398 = SV885 )
| ~ ( hBOOL @ ( c_in @ SV1258 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV885 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV885 ) @ ( c_Message_Omsg_OMPair @ SY3510 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3511 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3512 ) @ SY3513 ) ) ) ) ) @ ( c_List_Oset @ SV1258 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV398 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV398 ) @ ( c_Message_Omsg_OMPair @ SY3514 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3515 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3512 ) @ SY3516 ) ) ) ) ) @ ( c_List_Oset @ SV1258 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2670]) ).
thf(3126,plain,
! [SV1259: $i,SV886: $i,SV399: $i] :
( ( ! [SY3517: $i,SY3518: $i,SY3519: $i,SY3520: $i,SY3521: $i,SY3522: $i,SY3523: $i] :
( ( SV399 = SV886 )
| ~ ( hBOOL @ ( c_in @ SV1259 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3517 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3517 ) @ ( c_Message_Omsg_OMPair @ SV886 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3518 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3519 ) @ SY3520 ) ) ) ) ) @ ( c_List_Oset @ SV1259 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3521 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3521 ) @ ( c_Message_Omsg_OMPair @ SV399 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3522 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3519 ) @ SY3523 ) ) ) ) ) @ ( c_List_Oset @ SV1259 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2671]) ).
thf(3127,plain,
! [SV1260: $i,SV887: $i,SV400: $i] :
( ( ! [SY3524: $i,SY3525: $i,SY3526: $i,SY3527: $i,SY3528: $i,SY3529: $i,SY3530: $i] :
( ( SV400 = SV887 )
| ~ ( hBOOL @ ( c_in @ SV1260 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3524 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3524 ) @ ( c_Message_Omsg_OMPair @ SY3525 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV887 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3526 ) @ SY3527 ) ) ) ) ) @ ( c_List_Oset @ SV1260 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3528 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3528 ) @ ( c_Message_Omsg_OMPair @ SY3529 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV400 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3526 ) @ SY3530 ) ) ) ) ) @ ( c_List_Oset @ SV1260 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2672]) ).
thf(3128,plain,
! [SV1261: $i,SV888: $i,SV401: $i] :
( ( ! [SY3531: $i,SY3532: $i,SY3533: $i,SY3534: $i,SY3535: $i,SY3536: $i,SY3537: $i] :
( ( SV401 = SV888 )
| ~ ( hBOOL @ ( c_in @ SV1261 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3531 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3531 ) @ ( c_Message_Omsg_OMPair @ SY3532 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3533 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3534 ) @ SV888 ) ) ) ) ) @ ( c_List_Oset @ SV1261 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3535 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3535 ) @ ( c_Message_Omsg_OMPair @ SY3536 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3537 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3534 ) @ SV401 ) ) ) ) ) @ ( c_List_Oset @ SV1261 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2673]) ).
thf(3129,plain,
! [SV889: $i,SV402: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV402 ) ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV889 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV402 @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2674]) ).
thf(3130,plain,
! [SV1262: $i,SV890: $i,SV403: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV403 @ SV890 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1262 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV890 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1262 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV403 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1262 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2675]) ).
thf(3131,plain,
! [SV892: $i,SV405: $i] :
( ( ( hBOOL @ ( c_in @ SV405 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV405 ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV892 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV892 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2677]) ).
thf(3132,plain,
! [SV893: $i,SV406: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV406 ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV893 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV406 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ SV893 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2678]) ).
thf(3133,plain,
! [SV894: $i,SV407: $i] :
( ( ( hBOOL @ ( c_in @ SV407 @ ( c_Message_Oanalz @ SV894 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV407 @ ( c_Message_Oanalz @ ( c_Message_Oanalz @ SV894 ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2679]) ).
thf(3134,plain,
! [SV1263: $i,SV895: $i,SV408: $i] :
( ( ( hBOOL @ ( c_in @ SV408 @ SV895 @ SV1263 ) )
| ~ ( hBOOL @ ( hAPP @ SV895 @ SV408 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2680]) ).
thf(3135,plain,
! [SV1264: $i,SV896: $i,SV409: $i] :
( ( ( hBOOL @ ( hAPP @ SV409 @ SV896 ) )
| ~ ( hBOOL @ ( c_in @ SV896 @ SV409 @ SV1264 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2681]) ).
thf(3136,plain,
! [SV1265: $i,SV897: $i,SV410: $i] :
( ( ! [SY3538: $i] :
( ( hBOOL @ ( c_in @ SV410 @ ( c_List_Oset @ SV897 @ SV1265 ) @ SV1265 ) )
| ( SV410 = SY3538 )
| ~ ( hBOOL @ ( c_in @ SV410 @ ( c_List_Oset @ ( c_List_Olist_OCons @ SY3538 @ SV897 @ SV1265 ) @ SV1265 ) @ SV1265 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2682]) ).
thf(3137,plain,
! [SV1266: $i,SV898: $i,SV411: $i] :
( ( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV411 @ SV898 ) @ SV1266 @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1266 ) )
| ( hBOOL @ ( c_in @ SV411 @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2683]) ).
thf(3138,plain,
! [SV1267: $i,SV899: $i,SV412: $i] :
( ( ( hBOOL @ ( c_in @ SV412 @ ( c_Event_Oknows @ SV899 @ SV1267 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SV899 @ SV412 ) @ ( c_List_Oset @ SV1267 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2684]) ).
thf(3139,plain,
! [SV1268: $i,SV900: $i,SV413: $i] :
( ( ( hBOOL @ ( c_in @ SV413 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV900 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1268 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1268 ) @ SV413 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV900 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2685]) ).
thf(3140,plain,
! [SV903: $i,SV416: $i] :
( ( ( hBOOL @ ( c_in @ SV416 @ ( c_Message_Osynth @ SV903 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV416 @ SV903 @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2688]) ).
thf(3141,plain,
! [SV1269: $i,SV904: $i,SV417: $i] :
( ( ! [SY3539: $i,SY3540: $i,SY3541: $i,SY3542: $i] :
( ( SV417
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV904 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1269 ) @ ( c_Message_Omsg_OAgent @ SY3539 ) ) ) )
| ~ ( hBOOL @ ( c_in @ SY3540 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3539 @ ( c_Message_Omsg_OCrypt @ SY3541 @ ( c_Message_Omsg_OMPair @ SY3542 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV904 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1269 ) @ SV417 ) ) ) ) ) @ ( c_List_Oset @ SY3540 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2689]) ).
thf(3142,plain,
! [SV1270: $i,SV905: $i,SV418: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV418 @ SV905 ) @ ( c_Message_Osynth @ SV1270 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV418 @ SV905 ) @ SV1270 @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV418 ) @ SV1270 @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2690]) ).
thf(3143,plain,
! [SV1271: $i,SV906: $i,SV419: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV419 @ SV906 ) @ SV1271 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV419 @ SV906 ) @ ( c_Message_Osynth @ SV1271 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV419 ) @ SV1271 @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2691]) ).
thf(3144,plain,
! [SV1272: $i,SV907: $i,SV420: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV420 ) @ SV907 @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV420 @ SV1272 ) @ SV907 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV420 @ SV1272 ) @ ( c_Message_Osynth @ SV907 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2692]) ).
thf(3145,plain,
! [SV908: $i,SV421: $i] :
( ( ( hBOOL @ ( c_in @ SV421 @ ( c_Message_Osynth @ SV908 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV421 @ ( c_Message_Osynth @ ( c_Message_Osynth @ SV908 ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2693]) ).
thf(3146,plain,
! [SV1273: $i,SV909: $i,SV423: $i] :
( ( ( hBOOL @ ( c_in @ SV423 @ ( c_Message_Osynth @ SV909 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1273 @ SV423 ) @ SV909 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1273 @ SV423 ) @ ( c_Message_Osynth @ SV909 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2694]) ).
thf(3147,plain,
! [SV1274: $i,SV910: $i,SV424: $i] :
( ( ! [SY3543: $i,SY3544: $i] :
( ~ ( hBOOL @ ( c_in @ SV424 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV910 ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV424 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV1274 @ SY3543 @ SY3544 ) @ SV910 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2695]) ).
thf(3148,plain,
! [SV1275: $i,SV911: $i,SV425: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV425 @ SV911 ) @ ( c_Message_Osynth @ SV1275 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV425 ) @ SV1275 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV911 @ ( c_Message_Osynth @ SV1275 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2696]) ).
thf(3149,plain,
! [SV912: $i,SV426: $i] :
( ( ( class_Lattices_Oupper__semilattice @ ( tc_fun @ SV426 @ SV912 ) )
= $true )
| ( ( ~ ( class_Lattices_Olattice @ SV912 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2697]) ).
thf(3150,plain,
! [SV913: $i,SV427: $i] :
( ( ( class_Lattices_Obounded__lattice @ ( tc_fun @ SV427 @ SV913 ) )
= $true )
| ( ( ~ ( class_Lattices_Obounded__lattice @ SV913 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2698]) ).
thf(3151,plain,
! [SV914: $i,SV428: $i] :
( ( ( class_Lattices_Oboolean__algebra @ ( tc_fun @ SV428 @ SV914 ) )
= $true )
| ( ( ~ ( class_Lattices_Oboolean__algebra @ SV914 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2699]) ).
thf(3152,plain,
! [SV915: $i,SV429: $i] :
( ( ( class_Orderings_Opreorder @ ( tc_fun @ SV429 @ SV915 ) )
= $true )
| ( ( ~ ( class_Orderings_Opreorder @ SV915 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2700]) ).
thf(3153,plain,
! [SV916: $i,SV430: $i] :
( ( ( class_Lattices_Olattice @ ( tc_fun @ SV430 @ SV916 ) )
= $true )
| ( ( ~ ( class_Lattices_Olattice @ SV916 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2701]) ).
thf(3154,plain,
! [SV917: $i,SV431: $i] :
( ( ( class_Orderings_Oorder @ ( tc_fun @ SV431 @ SV917 ) )
= $true )
| ( ( ~ ( class_Orderings_Oorder @ SV917 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2702]) ).
thf(3155,plain,
! [SV918: $i,SV432: $i] :
( ( ( class_Orderings_Otop @ ( tc_fun @ SV432 @ SV918 ) )
= $true )
| ( ( ~ ( class_Orderings_Otop @ SV918 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2703]) ).
thf(3156,plain,
! [SV919: $i,SV433: $i] :
( ( ( class_Orderings_Obot @ ( tc_fun @ SV433 @ SV919 ) )
= $true )
| ( ( ~ ( class_Orderings_Obot @ SV919 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2704]) ).
thf(3157,plain,
! [SV920: $i,SV434: $i] :
( ( ( class_HOL_Ouminus @ ( tc_fun @ SV434 @ SV920 ) )
= $true )
| ( ( ~ ( class_HOL_Ouminus @ SV920 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2705]) ).
thf(3158,plain,
! [SV921: $i,SV435: $i] :
( ( ( class_HOL_Oord @ ( tc_fun @ SV435 @ SV921 ) )
= $true )
| ( ( ~ ( class_HOL_Oord @ SV921 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2706]) ).
thf(3159,plain,
! [SV1276: $i,SV923: $i,SV437: $i] :
( ( ( SV437 = SV923 )
| ~ ( c_fequal @ SV437 @ SV923 @ SV1276 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2708]) ).
thf(3160,plain,
! [SV924: $i,SV438: $i] :
( ( ( ( c_Message_Omsg_OAgent @ SV438 )
!= ( c_Message_Omsg_OAgent @ SV924 ) )
= $true )
| ( ( SV438 = SV924 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2709]) ).
thf(3161,plain,
! [SV925: $i,SV439: $i] :
( ( ( hAPP @ c_Message_Omsg_OKey @ SV439 )
= ( c_Message_Omsg_OAgent @ SV925 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2710]) ).
thf(3162,plain,
! [SV1277: $i,SV926: $i,SV440: $i] :
( ( ! [SY3545: $i] :
( ( c_Event_Oevent_OGets @ SV440 @ SV926 )
!= ( c_Event_Oevent_ONotes @ SV1277 @ SY3545 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2711]) ).
thf(3163,plain,
! [SV1278: $i,SV927: $i,SV441: $i] :
( ( ( ( c_HOL_Ouminus__class_Ouminus @ SV441 @ ( tc_fun @ SV927 @ tc_bool ) )
!= ( c_HOL_Ouminus__class_Ouminus @ SV1278 @ ( tc_fun @ SV927 @ tc_bool ) ) )
| ( SV441 = SV1278 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2712]) ).
thf(3164,plain,
! [SV1279: $i,SV928: $i,SV442: $i] :
( ( ! [SY3546: $i,SY3547: $i] :
( ( c_Event_Oevent_OSays @ SV442 @ SV928 @ SV1279 )
!= ( c_Event_Oevent_OGets @ SY3546 @ SY3547 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2713]) ).
thf(3165,plain,
! [SV1280: $i,SV929: $i,SV443: $i] :
( ( ( c_Message_Omsg_OAgent @ SV443 )
!= ( c_Message_Omsg_OMPair @ SV929 @ SV1280 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2714]) ).
thf(3166,plain,
! [SV1281: $i,SV930: $i,SV444: $i] :
( ( ( c_Message_Omsg_OCrypt @ SV444 @ SV930 )
!= ( c_Message_Omsg_ONonce @ SV1281 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2715]) ).
thf(3167,plain,
! [SV931: $i,SV445: $i] :
( ( ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ SV445 ) )
= ( hAPP @ c_Public_OshrK @ SV931 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2716]) ).
thf(3168,plain,
! [SV1282: $i,SV932: $i,SV446: $i] :
( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV446 @ SV932 @ ( tc_fun @ SV1282 @ tc_bool ) )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1282 @ tc_bool ) ) )
| ( SV932
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1282 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2717]) ).
thf(3169,plain,
! [SV1283: $i,SV933: $i,SV447: $i] :
( ( ~ ( class_Lattices_Oupper__semilattice @ SV447 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV933 @ SV1283 @ SV447 )
!= SV1283 )
| ( c_lessequals @ SV933 @ SV1283 @ SV447 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2718]) ).
thf(3170,plain,
! [SV1284: $i,SV934: $i,SV448: $i] :
( ( ! [SY3548: $i,SY3549: $i] :
( ( ( c_Set_Oinsert @ SV448 @ ( c_Set_Oinsert @ SV934 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1284 @ tc_bool ) ) @ SV1284 ) @ SV1284 )
!= ( c_Set_Oinsert @ SY3548 @ ( c_Set_Oinsert @ SY3549 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1284 @ tc_bool ) ) @ SV1284 ) @ SV1284 ) )
| ( SV934 = SY3548 )
| ( SV448 = SY3548 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2719]) ).
thf(3171,plain,
! [SV1285: $i,SV935: $i,SV449: $i] :
( ( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV449 @ tc_bool ) )
!= ( c_Set_Oinsert @ SV935 @ SV1285 @ SV449 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2720]) ).
thf(3172,plain,
! [SV936: $i,SV450: $i] :
( ( ( c_Message_Omsg_OAgent @ SV450 )
= ( hAPP @ c_Message_Omsg_OKey @ SV936 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2721]) ).
thf(3173,plain,
! [SV937: $i,SV452: $i] :
( ( ( ( c_Message_Omsg_ONonce @ SV452 )
!= ( c_Message_Omsg_ONonce @ SV937 ) )
= $true )
| ( ( SV452 = SV937 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2723]) ).
thf(3174,plain,
! [SV938: $i,SV453: $i] :
( ( ( hAPP @ c_Message_Omsg_OKey @ SV453 )
= ( c_Message_Omsg_ONonce @ SV938 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2724]) ).
thf(3175,plain,
! [SV1286: $i,SV939: $i,SV455: $i] :
( ( ( c_Message_Omsg_OAgent @ SV455 )
!= ( c_Message_Omsg_OCrypt @ SV939 @ SV1286 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2726]) ).
thf(3176,plain,
! [SV1287: $i,SV940: $i,SV456: $i] :
( ( ( c_List_Olist_OCons @ SV456 @ SV940 @ SV1287 )
!= SV940 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2727]) ).
thf(3177,plain,
! [SV941: $i,SV457: $i] :
( ( ( c_Message_Omsg_OAgent @ SV457 )
= ( c_Message_Omsg_ONonce @ SV941 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2728]) ).
thf(3178,plain,
! [SV1288: $i,SV942: $i,SV458: $i] :
( ( ! [SY3550: $i] :
( ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV458 ) @ SV942 ) )
!= ( hAPP @ ( c_Public_OpublicKey @ SV1288 ) @ SY3550 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2729]) ).
thf(3179,plain,
! [SV1289: $i,SV943: $i,SV459: $i] :
( ( ! [SY3551: $i] :
( ( ( c_Event_Oevent_OGets @ SV459 @ SV943 )
!= ( c_Event_Oevent_OGets @ SV1289 @ SY3551 ) )
| ( SV459 = SV1289 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2730]) ).
thf(3180,plain,
! [SV1290: $i,SV944: $i,SV460: $i] :
( ( SV460
!= ( c_List_Olist_OCons @ SV944 @ SV460 @ SV1290 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2731]) ).
thf(3181,plain,
! [SV1291: $i,SV945: $i,SV461: $i] :
( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV461 @ SV945 @ ( tc_fun @ SV1291 @ tc_bool ) )
!= SV945 )
| ( c_lessequals @ SV461 @ SV945 @ ( tc_fun @ SV1291 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2732]) ).
thf(3182,plain,
! [SV1292: $i,SV946: $i,SV462: $i] :
( ( ( ( c_Message_Oanalz @ SV462 )
!= ( c_Message_Oanalz @ SV946 ) )
| ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV1292 @ SV462 @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV1292 @ SV946 @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2733]) ).
thf(3183,plain,
! [SV1293: $i,SV947: $i,SV463: $i] :
( ( ! [SY3552: $i] :
( ( ( c_Message_Omsg_OCrypt @ SV463 @ SV947 )
!= ( c_Message_Omsg_OCrypt @ SV1293 @ SY3552 ) )
| ( SV463 = SV1293 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2734]) ).
thf(3184,plain,
! [SV948: $i,SV464: $i] :
( ( ( c_Message_Omsg_ONonce @ SV464 )
= ( hAPP @ c_Message_Omsg_OKey @ SV948 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2735]) ).
thf(3185,plain,
! [SV1294: $i,SV949: $i,SV465: $i] :
( ( ( hAPP @ c_Public_OshrK @ SV465 )
!= ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV949 ) @ SV1294 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2736]) ).
thf(3186,plain,
! [SV1295: $i,SV950: $i,SV466: $i] :
( ( ! [SY3553: $i] :
( ( ( c_Set_Oinsert @ SV466 @ SV950 @ SV1295 )
!= ( c_Set_Oinsert @ SV466 @ SY3553 @ SV1295 ) )
| ( hBOOL @ ( c_in @ SV466 @ SY3553 @ SV1295 ) )
| ( hBOOL @ ( c_in @ SV466 @ SV950 @ SV1295 ) )
| ( SV950 = SY3553 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2737]) ).
thf(3187,plain,
! [SV1296: $i,SV951: $i,SV467: $i] :
( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV467 @ SV951 @ ( tc_fun @ SV1296 @ tc_bool ) )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1296 @ tc_bool ) ) )
| ( SV467
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1296 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2738]) ).
thf(3188,plain,
! [SV1297: $i,SV952: $i,SV468: $i] :
( ( ( ( c_Set_Oinsert @ SV468 @ SV952 @ SV1297 )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1297 @ tc_bool ) ) )
| ( hBOOL @ ( c_in @ SV468 @ SV952 @ SV1297 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2739]) ).
thf(3189,plain,
! [SV1298: $i,SV953: $i,SV469: $i] :
( ( ( hAPP @ c_Message_Omsg_OKey @ SV469 )
!= ( c_Message_Omsg_OCrypt @ SV953 @ SV1298 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2740]) ).
thf(3190,plain,
! [SV1299: $i,SV954: $i,SV470: $i] :
( ( ! [SY3554: $i] :
( ( ( hAPP @ ( c_Public_OpublicKey @ SV470 ) @ SV954 )
!= ( hAPP @ ( c_Public_OpublicKey @ SV1299 ) @ SY3554 ) )
| ( SV954 = SY3554 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2741]) ).
thf(3191,plain,
! [SV955: $i,SV471: $i] :
( ( ( ( hAPP @ c_Public_OshrK @ SV471 )
!= ( hAPP @ c_Public_OshrK @ SV955 ) )
= $true )
| ( ( SV471 = SV955 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2742]) ).
thf(3192,plain,
! [SV1300: $i,SV956: $i,SV472: $i] :
( ( ! [SY3555: $i] :
( ( hAPP @ ( c_Public_OpublicKey @ SV472 ) @ SV956 )
!= ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV1300 ) @ SY3555 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2743]) ).
thf(3193,plain,
! [SV1301: $i,SV957: $i,SV473: $i] :
( ( ! [SY3556: $i,SY3557: $i] :
( ( ( c_Set_Oinsert @ SV473 @ ( c_Set_Oinsert @ SV957 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1301 @ tc_bool ) ) @ SV1301 ) @ SV1301 )
!= ( c_Set_Oinsert @ SY3556 @ ( c_Set_Oinsert @ SY3557 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1301 @ tc_bool ) ) @ SV1301 ) @ SV1301 ) )
| ( SV473 = SY3557 )
| ( SV957 = SY3557 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2744]) ).
thf(3194,plain,
! [SV1302: $i,SV958: $i,SV474: $i] :
( ( ~ ( class_Lattices_Obounded__lattice @ SV474 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV958 @ SV1302 @ SV474 )
!= ( c_Orderings_Obot__class_Obot @ SV474 ) )
| ( SV1302
= ( c_Orderings_Obot__class_Obot @ SV474 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2745]) ).
thf(3195,plain,
! [SV1303: $i,SV959: $i,SV475: $i] :
( ( ! [SY3558: $i,SY3559: $i,SY3560: $i] :
( ( ( c_Event_Oevent_OSays @ SV475 @ SV959 @ SV1303 )
!= ( c_Event_Oevent_OSays @ SY3558 @ SY3559 @ SY3560 ) )
| ( SV1303 = SY3560 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2746]) ).
thf(3196,plain,
! [SV1304: $i,SV960: $i,SV476: $i] :
( ( ! [SY3561: $i] :
( ( ( hAPP @ ( c_Public_OpublicKey @ SV476 ) @ SV960 )
!= ( hAPP @ ( c_Public_OpublicKey @ SV1304 ) @ SY3561 ) )
| ( SV476 = SV1304 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2747]) ).
thf(3197,plain,
! [SV1305: $i,SV961: $i,SV477: $i] :
( ( ! [SY3562: $i,SY3563: $i] :
( ( ( c_List_Olist_OCons @ SV477 @ SV961 @ SV1305 )
!= ( c_List_Olist_OCons @ SY3562 @ SY3563 @ SV1305 ) )
| ( SV477 = SY3562 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2748]) ).
thf(3198,plain,
! [SV1306: $i,SV962: $i,SV478: $i] :
( ( ( hAPP @ ( c_Public_OpublicKey @ SV478 ) @ SV962 )
!= ( hAPP @ c_Public_OshrK @ SV1306 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2749]) ).
thf(3199,plain,
! [SV1307: $i,SV963: $i,SV479: $i] :
( ( ! [SY3564: $i] :
( ( ( c_Message_Oanalz @ SV479 )
!= ( c_Message_Oanalz @ SV963 ) )
| ( ( c_Message_Oanalz @ SV1307 )
!= ( c_Message_Oanalz @ SY3564 ) )
| ( ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1307 @ SV479 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY3564 @ SV963 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2750]) ).
thf(3200,plain,
! [SV1308: $i,SV964: $i,SV480: $i] :
( ( ! [SY3565: $i] :
( ( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV480 @ tc_bool ) )
!= ( c_Set_Oimage @ SV964 @ SV1308 @ SY3565 @ SV480 ) )
| ( SV1308
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY3565 @ tc_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2751]) ).
thf(3201,plain,
! [SV1309: $i,SV965: $i,SV481: $i] :
( ( ( c_Message_Omsg_OMPair @ SV481 @ SV965 )
!= ( c_Message_Omsg_OAgent @ SV1309 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2752]) ).
thf(3202,plain,
! [SV1310: $i,SV966: $i,SV483: $i] :
( ( ! [SY3566: $i,SY3567: $i] :
( ( ( c_Set_Oinsert @ SV483 @ ( c_Set_Oinsert @ SV966 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1310 @ tc_bool ) ) @ SV1310 ) @ SV1310 )
!= ( c_Set_Oinsert @ SY3566 @ ( c_Set_Oinsert @ SY3567 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1310 @ tc_bool ) ) @ SV1310 ) @ SV1310 ) )
| ( SV483 = SY3567 )
| ( SV483 = SY3566 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2754]) ).
thf(3203,plain,
! [SV1311: $i,SV967: $i,SV484: $i] :
( ( ~ ( class_OrderedGroup_Ogroup__add @ SV484 )
| ( ( c_HOL_Ouminus__class_Ouminus @ SV967 @ SV484 )
!= ( c_HOL_Ouminus__class_Ouminus @ SV1311 @ SV484 ) )
| ( SV967 = SV1311 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2755]) ).
thf(3204,plain,
! [SV1312: $i,SV968: $i,SV485: $i] :
( ( ! [SY3568: $i] :
( ( c_Event_Oevent_ONotes @ SV485 @ SV968 )
!= ( c_Event_Oevent_OGets @ SV1312 @ SY3568 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2756]) ).
thf(3205,plain,
! [SV1313: $i,SV969: $i,SV486: $i] :
( ( ( c_Set_Oinsert @ SV486 @ SV969 @ SV1313 )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1313 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2757]) ).
thf(3206,plain,
! [SV1314: $i,SV970: $i,SV487: $i] :
( ( ! [SY3569: $i] :
( ( c_Message_Omsg_OCrypt @ SV487 @ SV970 )
!= ( c_Message_Omsg_OMPair @ SV1314 @ SY3569 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2758]) ).
thf(3207,plain,
! [SV971: $i,SV488: $i] :
( ( ( c_Message_Omsg_ONonce @ SV488 )
= ( c_Message_Omsg_OAgent @ SV971 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2759]) ).
thf(3208,plain,
! [SV972: $i,SV489: $i] :
( ( ( ( hAPP @ c_Message_OinvKey @ SV489 )
!= ( hAPP @ c_Message_OinvKey @ SV972 ) )
= $true )
| ( ( SV489 = SV972 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2760]) ).
thf(3209,plain,
! [SV1315: $i,SV973: $i,SV490: $i] :
( ( ! [SY3570: $i] :
( ( ( c_Event_Oevent_OGets @ SV490 @ SV973 )
!= ( c_Event_Oevent_OGets @ SV1315 @ SY3570 ) )
| ( SV973 = SY3570 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2761]) ).
thf(3210,plain,
! [SV1316: $i,SV974: $i,SV491: $i] :
( ( ! [SY3571: $i] :
( ( ( c_Event_Oevent_ONotes @ SV491 @ SV974 )
!= ( c_Event_Oevent_ONotes @ SV1316 @ SY3571 ) )
| ( SV491 = SV1316 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2762]) ).
thf(3211,plain,
! [SV1317: $i,SV975: $i,SV492: $i] :
( ( ~ ( class_Lattices_Oboolean__algebra @ SV492 )
| ( ( c_HOL_Ouminus__class_Ouminus @ SV975 @ SV492 )
!= ( c_HOL_Ouminus__class_Ouminus @ SV1317 @ SV492 ) )
| ( SV975 = SV1317 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2763]) ).
thf(3212,plain,
! [SV1318: $i,SV976: $i,SV493: $i] :
( ( ! [SY3572: $i,SY3573: $i] :
( ( c_Event_Oevent_OSays @ SV493 @ SV976 @ SV1318 )
!= ( c_Event_Oevent_ONotes @ SY3572 @ SY3573 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2764]) ).
thf(3213,plain,
! [SV1319: $i,SV977: $i,SV494: $i] :
( ( ! [SY3574: $i] :
( ( ( c_Message_Omsg_OMPair @ SV494 @ SV977 )
!= ( c_Message_Omsg_OMPair @ SV1319 @ SY3574 ) )
| ( SV494 = SV1319 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2765]) ).
thf(3214,plain,
! [SV1320: $i,SV978: $i,SV495: $i] :
( ( ( c_Message_Omsg_OMPair @ SV495 @ SV978 )
!= ( c_Message_Omsg_ONonce @ SV1320 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2766]) ).
thf(3215,plain,
! [SV1321: $i,SV979: $i,SV496: $i] :
( ( ( hAPP @ c_Message_Omsg_OKey @ SV496 )
!= ( c_Message_Omsg_OMPair @ SV979 @ SV1321 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2767]) ).
thf(3216,plain,
! [SV1322: $i,SV980: $i,SV497: $i] :
( ( ! [SY3575: $i,SY3576: $i] :
( ( ( c_List_Olist_OCons @ SV497 @ SV980 @ SV1322 )
!= ( c_List_Olist_OCons @ SY3575 @ SY3576 @ SV1322 ) )
| ( SV980 = SY3576 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2768]) ).
thf(3217,plain,
! [SV1323: $i,SV981: $i,SV498: $i] :
( ( ! [SY3577: $i] :
( ( c_Message_Omsg_OMPair @ SV498 @ SV981 )
!= ( c_Message_Omsg_OCrypt @ SV1323 @ SY3577 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2769]) ).
thf(3218,plain,
! [SV1324: $i,SV982: $i,SV499: $i] :
( ( ( c_Message_Omsg_OMPair @ SV499 @ SV982 )
!= ( hAPP @ c_Message_Omsg_OKey @ SV1324 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2770]) ).
thf(3219,plain,
! [SV1325: $i,SV983: $i,SV500: $i] :
( ( ! [SY3578: $i,SY3579: $i,SY3580: $i] :
( ( ( c_Event_Oevent_OSays @ SV500 @ SV983 @ SV1325 )
!= ( c_Event_Oevent_OSays @ SY3578 @ SY3579 @ SY3580 ) )
| ( SV500 = SY3578 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2771]) ).
thf(3220,plain,
! [SV1326: $i,SV984: $i,SV501: $i] :
( ( ! [SY3581: $i] :
( ( ( c_Message_Omsg_OCrypt @ SV501 @ SV984 )
!= ( c_Message_Omsg_OCrypt @ SV1326 @ SY3581 ) )
| ( SV984 = SY3581 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2772]) ).
thf(3221,plain,
! [SV985: $i,SV502: $i] :
( ( ( ( hAPP @ c_Message_Omsg_OKey @ SV502 )
!= ( hAPP @ c_Message_Omsg_OKey @ SV985 ) )
= $true )
| ( ( SV502 = SV985 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2773]) ).
thf(3222,plain,
! [SV1327: $i,SV986: $i,SV504: $i] :
( ( ! [SY3582: $i,SY3583: $i] :
( ( ( c_Set_Oinsert @ SV504 @ ( c_Set_Oinsert @ SV986 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1327 @ tc_bool ) ) @ SV1327 ) @ SV1327 )
!= ( c_Set_Oinsert @ SY3582 @ ( c_Set_Oinsert @ SY3583 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1327 @ tc_bool ) ) @ SV1327 ) @ SV1327 ) )
| ( SV986 = SY3582 )
| ( SV986 = SY3583 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2775]) ).
thf(3223,plain,
! [SV1328: $i,SV987: $i,SV505: $i] :
( ( ! [SY3584: $i,SY3585: $i] :
( ( c_Event_Oevent_ONotes @ SV505 @ SV987 )
!= ( c_Event_Oevent_OSays @ SV1328 @ SY3584 @ SY3585 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2776]) ).
thf(3224,plain,
! [SV1329: $i,SV988: $i,SV506: $i] :
( ( ! [SY3586: $i] :
( ( ( c_Set_Oimage @ SV506 @ SV988 @ SV1329 @ SY3586 )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY3586 @ tc_bool ) ) )
| ( SV988
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1329 @ tc_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2777]) ).
thf(3225,plain,
! [SV1330: $i,SV989: $i,SV507: $i] :
( ( ( c_Message_Omsg_OCrypt @ SV507 @ SV989 )
!= ( c_Message_Omsg_OAgent @ SV1330 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2778]) ).
thf(3226,plain,
! [SV990: $i,SV508: $i] :
( ( ( ( c_Message_Oagent_OFriend @ SV508 )
!= ( c_Message_Oagent_OFriend @ SV990 ) )
= $true )
| ( ( SV508 = SV990 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2779]) ).
thf(3227,plain,
! [SV1331: $i,SV991: $i,SV510: $i] :
( ( ( c_Message_Omsg_ONonce @ SV510 )
!= ( c_Message_Omsg_OMPair @ SV991 @ SV1331 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2781]) ).
thf(3228,plain,
! [SV1332: $i,SV992: $i,SV511: $i] :
( ( ( hAPP @ c_Public_OshrK @ SV511 )
!= ( hAPP @ ( c_Public_OpublicKey @ SV992 ) @ SV1332 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2782]) ).
thf(3229,plain,
! [SV1333: $i,SV993: $i,SV512: $i] :
( ( ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV512 ) @ SV993 ) )
!= ( hAPP @ c_Public_OshrK @ SV1333 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2783]) ).
thf(3230,plain,
! [SV1334: $i,SV994: $i,SV513: $i] :
( ( ! [SY3587: $i,SY3588: $i,SY3589: $i] :
( ( ( c_Event_Oevent_OSays @ SV513 @ SV994 @ SV1334 )
!= ( c_Event_Oevent_OSays @ SY3587 @ SY3588 @ SY3589 ) )
| ( SV994 = SY3588 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2784]) ).
thf(3231,plain,
! [SV1335: $i,SV995: $i,SV514: $i] :
( ( ( c_Message_Omsg_ONonce @ SV514 )
!= ( c_Message_Omsg_OCrypt @ SV995 @ SV1335 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2785]) ).
thf(3232,plain,
! [SV1336: $i,SV996: $i,SV515: $i] :
( ( ( ( c_Set_Oinsert @ SV515 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV996 @ tc_bool ) ) @ SV996 )
!= ( c_Set_Oinsert @ SV1336 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV996 @ tc_bool ) ) @ SV996 ) )
| ( SV515 = SV1336 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2786]) ).
thf(3233,plain,
! [SV1337: $i,SV997: $i,SV516: $i] :
( ( ~ ( class_Lattices_Obounded__lattice @ SV516 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV997 @ SV1337 @ SV516 )
!= ( c_Orderings_Obot__class_Obot @ SV516 ) )
| ( SV997
= ( c_Orderings_Obot__class_Obot @ SV516 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2787]) ).
thf(3234,plain,
! [SV1338: $i,SV998: $i,SV517: $i] :
( ( ! [SY3590: $i] :
( ( ( c_Message_Omsg_OMPair @ SV517 @ SV998 )
!= ( c_Message_Omsg_OMPair @ SV1338 @ SY3590 ) )
| ( SV998 = SY3590 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2788]) ).
thf(3235,plain,
! [SV1339: $i,SV999: $i,SV518: $i] :
( ( ( c_Message_Omsg_OCrypt @ SV518 @ SV999 )
!= ( hAPP @ c_Message_Omsg_OKey @ SV1339 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2789]) ).
thf(3236,plain,
! [SV1340: $i,SV1000: $i,SV519: $i] :
( ( ! [SY3591: $i,SY3592: $i] :
( ( c_Event_Oevent_OGets @ SV519 @ SV1000 )
!= ( c_Event_Oevent_OSays @ SV1340 @ SY3591 @ SY3592 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2790]) ).
thf(3237,plain,
! [SV1341: $i,SV1001: $i,SV520: $i] :
( ( ! [SY3593: $i] :
( ( ( c_Event_Oevent_ONotes @ SV520 @ SV1001 )
!= ( c_Event_Oevent_ONotes @ SV1341 @ SY3593 ) )
| ( SV1001 = SY3593 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2791]) ).
thf(3238,plain,
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ v_A @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ v_A ) @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ v_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Omsg_OAgent @ v_A ) ) ) ) ) ) ) ) @ ( c_List_Oset @ v_evsf @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ v_NA @ ( c_Message_Omsg_OMPair @ v_x @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) ) ) ) @ ( c_List_Oset @ v_evsf @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evsf ) ) @ tc_Message_Omsg ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2792]) ).
thf(3239,plain,
! [SV1002: $i,SV521: $i,SV2: $i] :
( ( ( hBOOL @ ( c_in @ SV2 @ ( c_Event_Oused @ SV521 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV2 @ ( c_Message_Oparts @ ( c_Event_OinitState @ SV1002 ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2793]) ).
thf(3240,plain,
! [SV1004: $i,SV524: $i,SV6: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV6 @ SV524 ) @ ( c_Message_Oparts @ ( c_Event_OinitState @ SV1004 ) ) @ tc_Message_Omsg ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2796]) ).
thf(3241,plain,
! [SV1005: $i,SV525: $i,SV7: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV7 @ SV525 @ SV1005 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV7 @ ( c_HOL_Ouminus__class_Ouminus @ SV525 @ ( tc_fun @ SV1005 @ tc_bool ) ) @ SV1005 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2797]) ).
thf(3242,plain,
! [SV1006: $i,SV526: $i,SV8: $i] :
( ( ( hBOOL @ ( c_in @ SV8 @ ( c_HOL_Ouminus__class_Ouminus @ SV526 @ ( tc_fun @ SV1006 @ tc_bool ) ) @ SV1006 ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV8 @ SV526 @ SV1006 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2798]) ).
thf(3243,plain,
! [SV1007: $i,SV527: $i,SV9: $i] :
( ( ( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV9 ) )
= $true )
| ( ( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV527 @ SV9 ) @ SV1007 @ SV9 )
| ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV1007 @ SV9 ) @ SV527 @ SV9 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2799]) ).
thf(3244,plain,
! [SV1008: $i,SV528: $i,SV10: $i] :
( ( ( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV10 ) )
= $true )
| ( ( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV528 @ SV10 ) @ SV1008 @ SV10 )
| ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV1008 @ SV10 ) @ SV528 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2800]) ).
thf(3245,plain,
! [SV1009: $i,SV529: $i,SV11: $i] :
( ( ( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV11 ) )
= $true )
| ( ( ( c_lessequals @ SV529 @ ( c_HOL_Ouminus__class_Ouminus @ SV1009 @ SV11 ) @ SV11 )
| ~ ( c_lessequals @ SV1009 @ ( c_HOL_Ouminus__class_Ouminus @ SV529 @ SV11 ) @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2801]) ).
thf(3246,plain,
! [SV1010: $i,SV530: $i,SV12: $i] :
( ( ( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV12 ) )
= $true )
| ( ( ( c_lessequals @ SV530 @ ( c_HOL_Ouminus__class_Ouminus @ SV1010 @ SV12 ) @ SV12 )
| ~ ( c_lessequals @ SV1010 @ ( c_HOL_Ouminus__class_Ouminus @ SV530 @ SV12 ) @ SV12 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2802]) ).
thf(3247,plain,
! [SV531: $i,SV13: $i] :
( ( ( class_OrderedGroup_Ogroup__add @ SV13 )
= $false )
| ( ( ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ SV531 @ SV13 ) @ SV13 )
= SV531 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2803]) ).
thf(3248,plain,
! [SV532: $i,SV14: $i] :
( ( ( class_OrderedGroup_Ogroup__add @ SV14 )
= $false )
| ( ( SV532
= ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ SV532 @ SV14 ) @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2804]) ).
thf(3249,plain,
! [SV533: $i,SV15: $i] :
( ( ( class_OrderedGroup_Ogroup__add @ SV15 )
= $false )
| ( ( SV533
= ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ SV533 @ SV15 ) @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2805]) ).
thf(3250,plain,
! [SV534: $i,SV16: $i] :
( ( ( class_Lattices_Oboolean__algebra @ SV16 )
= $false )
| ( ( ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ SV534 @ SV16 ) @ SV16 )
= SV534 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2806]) ).
thf(3251,plain,
! [SV535: $i,SV17: $i] :
( ( ( class_OrderedGroup_Ogroup__add @ SV17 )
= $false )
| ( ( ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ SV535 @ SV17 ) @ SV17 )
= SV535 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2807]) ).
thf(3252,plain,
! [SV537: $i,SV19: $i] :
( ( ( c_lessequals @ SV19 @ SV537 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( c_lessequals @ ( c_Message_OkeysFor @ SV19 ) @ ( c_Message_OkeysFor @ SV537 ) @ ( tc_fun @ tc_nat @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2808]) ).
thf(3253,plain,
! [SV538: $i,SV20: $i] :
( ( ( class_Lattices_Oboolean__algebra @ SV20 )
= $false )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV538 @ ( c_HOL_Ouminus__class_Ouminus @ SV538 @ SV20 ) @ SV20 )
= ( c_Orderings_Otop__class_Otop @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2809]) ).
thf(3254,plain,
! [SV539: $i,SV21: $i] :
( ( ( class_Lattices_Oboolean__algebra @ SV21 )
= $false )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_HOL_Ouminus__class_Ouminus @ SV539 @ SV21 ) @ SV539 @ SV21 )
= ( c_Orderings_Otop__class_Otop @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2810]) ).
thf(3255,plain,
! [SV542: $i,SV25: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV25 @ c_Public_Okeymode_OEncryption ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV25 @ c_Public_Okeymode_OSignature ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV25 @ SV542 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2811]) ).
thf(3256,plain,
! [SV1011: $i,SV543: $i,SV26: $i] :
( ( ( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV26 ) )
= $true )
| ( ( ( c_lessequals @ SV543 @ SV1011 @ SV26 )
| ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV1011 @ SV26 ) @ ( c_HOL_Ouminus__class_Ouminus @ SV543 @ SV26 ) @ SV26 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2812]) ).
thf(3257,plain,
! [SV1012: $i,SV544: $i,SV27: $i] :
( ( ( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV27 ) )
= $true )
| ( ( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV544 @ SV27 ) @ ( c_HOL_Ouminus__class_Ouminus @ SV1012 @ SV27 ) @ SV27 )
| ~ ( c_lessequals @ SV1012 @ SV544 @ SV27 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2813]) ).
thf(3258,plain,
! [SV1013: $i,SV545: $i,SV28: $i] :
( ( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV28 @ ( tc_fun @ SV545 @ tc_bool ) ) @ ( c_HOL_Ouminus__class_Ouminus @ SV1013 @ ( tc_fun @ SV545 @ tc_bool ) ) @ ( tc_fun @ SV545 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1013 @ SV28 @ ( tc_fun @ SV545 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2814]) ).
thf(3259,plain,
! [SV1014: $i,SV546: $i,SV29: $i] :
( ( ( c_lessequals @ SV29 @ SV546 @ ( tc_fun @ SV1014 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV546 @ ( tc_fun @ SV1014 @ tc_bool ) ) @ ( c_HOL_Ouminus__class_Ouminus @ SV29 @ ( tc_fun @ SV1014 @ tc_bool ) ) @ ( tc_fun @ SV1014 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2815]) ).
thf(3260,plain,
! [SV1015: $i,SV547: $i,SV30: $i] :
( ( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV30 @ ( tc_fun @ SV547 @ tc_bool ) ) @ ( c_HOL_Ouminus__class_Ouminus @ SV1015 @ ( tc_fun @ SV547 @ tc_bool ) ) @ ( tc_fun @ SV547 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1015 @ SV30 @ ( tc_fun @ SV547 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2816]) ).
thf(3261,plain,
! [SV549: $i,SV35: $i] :
( ( ( class_HOL_Ouminus @ SV35 )
= $false )
| ( ( ( hAPP @ ( c_HOL_Ouminus__class_Ouminus @ SV549 @ ( tc_fun @ t_a @ SV35 ) ) @ v_x )
= ( c_HOL_Ouminus__class_Ouminus @ ( hAPP @ SV549 @ v_x ) @ SV35 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2818]) ).
thf(3262,plain,
! [SV550: $i,SV38: $i] :
( ( ( c_lessequals @ SV38 @ ( c_HOL_Ouminus__class_Ouminus @ SV38 @ ( tc_fun @ SV550 @ tc_bool ) ) @ ( tc_fun @ SV550 @ tc_bool ) )
= $false )
| ( ( SV38
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV550 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2820]) ).
thf(3263,plain,
! [SV1016: $i,SV552: $i,SV40: $i] :
( ( ( hBOOL @ ( c_in @ SV40 @ ( c_Event_OinitState @ SV552 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SV552 @ SV40 ) @ ( c_List_Oset @ SV1016 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_OGets @ SV552 @ SV40 ) @ ( c_List_Oset @ SV1016 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV552 @ ( c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1 @ SV552 @ SV40 @ SV1016 ) @ SV40 ) @ ( c_List_Oset @ SV1016 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV552 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( c_in @ SV40 @ ( c_Event_Oknows @ SV552 @ SV1016 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2821]) ).
thf(3264,plain,
! [SV1342: $i,SV1017: $i,SV553: $i,SV41: $i] :
( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV41 ) @ SV553 ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV1017 ) @ SV1342 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2822]) ).
thf(3265,plain,
! [SV1343: $i,SV1018: $i,SV554: $i,SV42: $i] :
( ( ( SV42 = SV554 )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV42 ) @ SV1018 ) ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV554 ) @ SV1343 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2823]) ).
thf(3266,plain,
! [SV1019: $i,SV555: $i,SV43: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV43 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV555 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1019 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV43 @ SV555 @ tc_nat ) )
| ~ ( c_lessequals @ SV555 @ ( c_HOL_Ouminus__class_Ouminus @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ ( tc_fun @ tc_nat @ tc_bool ) ) @ ( tc_fun @ tc_nat @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV1019 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2824]) ).
thf(3267,plain,
! [SV1020: $i,SV556: $i,SV44: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV44 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV556 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ SV44 @ SV1020 @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV44 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV1020 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV556 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SV1020 @ ( c_HOL_Ouminus__class_Ouminus @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ ( tc_fun @ tc_nat @ tc_bool ) ) @ ( tc_fun @ tc_nat @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV556 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2825]) ).
thf(3268,plain,
! [SV1021: $i,SV557: $i,SV45: $i] :
( ( ( hBOOL @ ( c_in @ SV45 @ ( c_Message_OkeysFor @ SV557 ) @ tc_nat ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV45 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV45 @ SV1021 ) @ SV557 @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2826]) ).
thf(3269,plain,
! [SV1023: $i,SV559: $i,SV47: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ SV47 ) @ ( c_Message_OkeysFor @ SV559 ) @ tc_nat ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV47 @ SV1023 ) @ SV559 @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2828]) ).
thf(3270,plain,
! [SV1024: $i,SV561: $i,SV49: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV49 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV561 @ tc_nat @ tc_Message_Omsg ) @ SV1024 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV49 ) @ ( c_Message_Oanalz @ SV1024 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV49 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV561 @ tc_nat @ tc_Message_Omsg ) @ SV1024 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2830]) ).
thf(3271,plain,
! [SV1025: $i,SV562: $i,SV50: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV50 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV562 @ tc_nat @ tc_Message_Omsg ) @ SV1025 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV50 ) @ ( c_Message_Oanalz @ SV1025 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV50 ) @ ( c_Message_Oanalz @ SV1025 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2831]) ).
thf(3272,plain,
! [SV1026: $i,SV563: $i,SV51: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV51 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV563 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1026 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV51 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1026 ) ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SV563 @ ( c_HOL_Ouminus__class_Ouminus @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ ( tc_fun @ tc_nat @ tc_bool ) ) @ ( tc_fun @ tc_nat @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV1026 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2832]) ).
thf(3273,plain,
! [SV1028: $i,SV569: $i,SV60: $i] :
( ( ( SV60 = SV569 )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV60 @ ( c_Set_Oinsert @ SV569 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1028 @ tc_bool ) ) @ SV1028 ) @ SV1028 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2834]) ).
thf(3274,plain,
! [SV1029: $i,SV570: $i,SV62: $i] :
( ( ( SV62
= ( c_Set_Oinsert @ SV570 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1029 @ tc_bool ) ) @ SV1029 ) )
= $true )
| ( ( ( SV62
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1029 @ tc_bool ) ) )
| ~ ( c_lessequals @ SV62 @ ( c_Set_Oinsert @ SV570 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1029 @ tc_bool ) ) @ SV1029 ) @ ( tc_fun @ SV1029 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2835]) ).
thf(3275,plain,
! [SV571: $i,SV64: $i] :
( ( ( c_lessequals @ SV64 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV571 @ tc_bool ) ) @ ( tc_fun @ SV571 @ tc_bool ) )
= $false )
| ( ( SV64
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV571 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2836]) ).
thf(3276,plain,
! [SV575: $i,SV68: $i] :
( ( ( class_Lattices_Obounded__lattice @ SV68 )
= $false )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Obot__class_Obot @ SV68 ) @ SV575 @ SV68 )
= SV575 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2838]) ).
thf(3277,plain,
! [SV576: $i,SV69: $i] :
( ( ( class_Lattices_Obounded__lattice @ SV69 )
= $false )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV576 @ ( c_Orderings_Obot__class_Obot @ SV69 ) @ SV69 )
= SV576 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2839]) ).
thf(3278,plain,
! [SV577: $i,SV70: $i] :
( ( ( class_Orderings_Obot @ SV70 )
= $false )
| ( ( c_lessequals @ ( c_Orderings_Obot__class_Obot @ SV70 ) @ SV577 @ SV70 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2840]) ).
thf(3279,plain,
! [SV581: $i,SV75: $i] :
( ( ( hBOOL @ ( c_in @ SV75 @ SV581 @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ SV75 ) @ ( c_Set_Oimage @ c_Message_OinvKey @ SV581 @ tc_nat @ tc_nat ) @ tc_nat ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2844]) ).
thf(3280,plain,
! [SV582: $i,SV76: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ SV76 ) @ ( c_Set_Oimage @ c_Message_OinvKey @ SV582 @ tc_nat @ tc_nat ) @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV76 @ SV582 @ tc_nat ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2845]) ).
thf(3281,plain,
! [SV1034: $i,SV586: $i,SV80: $i] :
( ( ( hBOOL @ ( hAPP @ SV80 @ SV586 ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV586 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1034 @ tc_bool ) ) @ SV1034 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2849]) ).
thf(3282,plain,
! [SV1035: $i,SV589: $i,SV83: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV83 @ SV589 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV589 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1035 @ tc_bool ) ) @ SV1035 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2852]) ).
thf(3283,plain,
! [SV1036: $i,SV590: $i,SV84: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV84 @ SV590 ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV1036 @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2853]) ).
thf(3284,plain,
! [SV591: $i,SV85: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV85 ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV591 @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV85 @ SV591 @ tc_nat ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2854]) ).
thf(3285,plain,
! [SV592: $i,SV86: $i] :
( ( ( hBOOL @ ( c_in @ SV86 @ SV592 @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV86 ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV592 @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2855]) ).
thf(3286,plain,
! [SV1038: $i,SV596: $i,SV91: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV91 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV596 @ tc_nat @ tc_Message_Omsg ) @ SV1038 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV91 ) @ ( c_Message_Oanalz @ SV1038 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV91 @ SV596 @ tc_nat ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2858]) ).
thf(3287,plain,
! [SV1039: $i,SV597: $i,SV92: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV92 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV597 @ tc_nat @ tc_Message_Omsg ) @ SV1039 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV92 @ SV597 @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV92 ) @ ( c_Message_Oanalz @ SV1039 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2859]) ).
thf(3288,plain,
! [SV1040: $i,SV598: $i,SV93: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV93 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV598 @ tc_nat @ tc_Message_Omsg ) @ SV1040 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV93 @ SV598 @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV93 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV598 @ tc_nat @ tc_Message_Omsg ) @ SV1040 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2860]) ).
thf(3289,plain,
! [SV1041: $i,SV599: $i,SV94: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV94 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV599 @ tc_nat @ tc_Message_Omsg ) @ SV1041 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV94 @ SV599 @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV94 @ SV599 @ tc_nat ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2861]) ).
thf(3290,plain,
! [SV600: $i,SV95: $i] :
( ( ( hBOOL @ ( c_in @ SV95 @ ( c_Event_Oused @ SV600 ) @ tc_Message_Omsg ) )
= $false )
| ( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV95 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Event_Oused @ SV600 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2862]) ).
thf(3291,plain,
! [SV1042: $i,SV602: $i,SV97: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ SV97 ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV602 ) @ SV1042 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2863]) ).
thf(3292,plain,
! [SV1344: $i,SV1043: $i,SV603: $i,SV98: $i] :
( ( ( hBOOL @ ( c_in @ SV98 @ SV603 @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV1043 ) @ SV98 ) ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV1344 ) @ SV603 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2864]) ).
thf(3293,plain,
! [SV1044: $i,SV604: $i,SV99: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV99 ) @ SV604 ) ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV99 ) @ SV1044 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV604 @ SV1044 @ tc_Message_Oagent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2865]) ).
thf(3294,plain,
! [SV1045: $i,SV605: $i,SV100: $i] :
( ( ( hBOOL @ ( c_in @ SV100 @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV605 ) ) @ ( c_Message_Oparts @ SV605 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1045 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV605 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV100 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV1045 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2866]) ).
thf(3295,plain,
! [SV1345: $i,SV1046: $i,SV606: $i,SV101: $i] :
( ( ( c_Event_Oused @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV101 @ SV606 @ SV1046 ) @ SV1345 @ tc_Event_Oevent ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV1046 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Event_Oused @ SV1345 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2867]) ).
thf(3296,plain,
! [SV608: $i,SV103: $i] :
( ( ( hBOOL @ ( c_in @ SV103 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV608 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV103 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV608 ) ) @ ( c_Message_Oparts @ SV608 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2869]) ).
thf(3297,plain,
! [SV1346: $i,SV1048: $i,SV609: $i,SV104: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV104 ) ) @ ( c_Message_Oparts @ SV609 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV104 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1048 @ SV609 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV1346 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV609 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV104 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV1346 @ SV1048 @ tc_Message_Omsg ) ) ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2870]) ).
thf(3298,plain,
! [SV610: $i,SV105: $i] :
( ( ( hBOOL @ ( c_in @ SV105 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV610 ) ) ) @ tc_nat ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV610 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ SV105 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV105 ) @ ( c_Event_Oused @ SV610 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2871]) ).
thf(3299,plain,
! [SV1347: $i,SV1049: $i,SV611: $i,SV106: $i] :
( ( ! [SY3594: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ SV106 @ SV611 @ SV1049 @ SV1347 ) @ ( c_Set_Oimage @ SV106 @ SY3594 @ SV1049 @ SV1347 ) @ ( tc_fun @ SV1347 @ tc_bool ) )
= ( c_Set_Oimage @ SV106 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV611 @ SY3594 @ ( tc_fun @ SV1049 @ tc_bool ) ) @ SV1049 @ SV1347 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2872]) ).
thf(3300,plain,
! [SV1348: $i,SV1050: $i,SV612: $i,SV107: $i] :
( ( ! [SY3595: $i] :
( ( c_Set_Oimage @ SV107 @ ( c_Set_Oinsert @ SV612 @ SV1050 @ SV1348 ) @ SV1348 @ SY3595 )
= ( c_Set_Oinsert @ ( hAPP @ SV107 @ SV612 ) @ ( c_Set_Oimage @ SV107 @ SV1050 @ SV1348 @ SY3595 ) @ SY3595 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2873]) ).
thf(3301,plain,
! [SV1349: $i,SV1051: $i,SV613: $i,SV108: $i] :
( ( ! [SY3596: $i] :
( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV108 @ SV613 @ ( tc_fun @ SV1051 @ tc_bool ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1349 @ SY3596 @ ( tc_fun @ SV1051 @ tc_bool ) ) @ ( tc_fun @ SV1051 @ tc_bool ) )
| ~ ( c_lessequals @ SV613 @ SY3596 @ ( tc_fun @ SV1051 @ tc_bool ) )
| ~ ( c_lessequals @ SV108 @ SV1349 @ ( tc_fun @ SV1051 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2874]) ).
thf(3302,plain,
! [SV615: $i,SV110: $i] :
( ( ( class_Orderings_Otop @ SV110 )
= $false )
| ( ( c_lessequals @ SV615 @ ( c_Orderings_Otop__class_Otop @ SV110 ) @ SV110 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2875]) ).
thf(3303,plain,
! [SV1350: $i,SV1052: $i,SV617: $i,SV112: $i] :
( ( ~ ( class_Lattices_Oupper__semilattice @ SV112 )
| ( c_lessequals @ SV617 @ SV1052 @ SV112 )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1350 @ SV617 @ SV112 ) @ SV1052 @ SV112 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2877]) ).
thf(3304,plain,
! [SV1351: $i,SV1053: $i,SV618: $i,SV113: $i] :
( ( ~ ( class_Lattices_Oupper__semilattice @ SV113 )
| ( c_lessequals @ SV618 @ SV1053 @ SV113 )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV618 @ SV1351 @ SV113 ) @ SV1053 @ SV113 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2878]) ).
thf(3305,plain,
! [SV1352: $i,SV1054: $i,SV619: $i,SV114: $i] :
( ( ~ ( class_Lattices_Oupper__semilattice @ SV114 )
| ( c_lessequals @ SV619 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1054 @ SV1352 @ SV114 ) @ SV114 )
| ~ ( c_lessequals @ SV619 @ SV1352 @ SV114 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2879]) ).
thf(3306,plain,
! [SV1353: $i,SV1055: $i,SV620: $i,SV115: $i] :
( ( ~ ( class_Lattices_Oupper__semilattice @ SV115 )
| ( c_lessequals @ SV620 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1055 @ SV1353 @ SV115 ) @ SV115 )
| ~ ( c_lessequals @ SV620 @ SV1055 @ SV115 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2880]) ).
thf(3307,plain,
! [SV1354: $i,SV1056: $i,SV621: $i,SV116: $i] :
( ( ~ ( class_Lattices_Oupper__semilattice @ SV116 )
| ( c_lessequals @ SV621 @ SV1056 @ SV116 )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1354 @ SV621 @ SV116 ) @ SV1056 @ SV116 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2881]) ).
thf(3308,plain,
! [SV1355: $i,SV1057: $i,SV622: $i,SV117: $i] :
( ( ~ ( class_Lattices_Oupper__semilattice @ SV117 )
| ( c_lessequals @ SV622 @ SV1057 @ SV117 )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV622 @ SV1355 @ SV117 ) @ SV1057 @ SV117 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2882]) ).
thf(3309,plain,
! [SV1356: $i,SV1058: $i,SV623: $i,SV118: $i] :
( ( ( c_lessequals @ SV118 @ SV623 @ ( tc_fun @ SV1058 @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV118 @ SV1356 @ ( tc_fun @ SV1058 @ tc_bool ) ) @ SV623 @ ( tc_fun @ SV1058 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2883]) ).
thf(3310,plain,
! [SV1357: $i,SV1059: $i,SV624: $i,SV119: $i] :
( ( ( c_lessequals @ SV119 @ SV624 @ ( tc_fun @ SV1059 @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1357 @ SV119 @ ( tc_fun @ SV1059 @ tc_bool ) ) @ SV624 @ ( tc_fun @ SV1059 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2884]) ).
thf(3311,plain,
! [SV1358: $i,SV1060: $i,SV625: $i,SV120: $i] :
( ( ~ ( class_Orderings_Oorder @ SV120 )
| ( c_lessequals @ SV625 @ SV1060 @ SV120 )
| ~ ( c_lessequals @ SV625 @ SV1358 @ SV120 )
| ~ ( c_lessequals @ SV1358 @ SV1060 @ SV120 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2885]) ).
thf(3312,plain,
! [SV1359: $i,SV1061: $i,SV626: $i,SV121: $i] :
( ( ~ ( class_Orderings_Opreorder @ SV121 )
| ( c_lessequals @ SV626 @ SV1061 @ SV121 )
| ~ ( c_lessequals @ SV1359 @ SV1061 @ SV121 )
| ~ ( c_lessequals @ SV626 @ SV1359 @ SV121 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2886]) ).
thf(3313,plain,
! [SV1360: $i,SV1062: $i,SV629: $i,SV124: $i] :
( ( ( c_lessequals @ SV124 @ SV629 @ ( tc_fun @ SV1062 @ tc_bool ) )
| ~ ( c_lessequals @ SV1360 @ SV629 @ ( tc_fun @ SV1062 @ tc_bool ) )
| ~ ( c_lessequals @ SV124 @ SV1360 @ ( tc_fun @ SV1062 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2887]) ).
thf(3314,plain,
! [SV1361: $i,SV1063: $i,SV630: $i,SV125: $i] :
( ( ( hBOOL @ ( hAPP @ SV125 @ SV630 ) )
| ~ ( hBOOL @ ( hAPP @ SV1063 @ SV630 ) )
| ~ ( c_lessequals @ SV1063 @ SV125 @ ( tc_fun @ SV1361 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2888]) ).
thf(3315,plain,
! [SV631: $i,SV126: $i] :
( ( ( class_Orderings_Oorder @ SV126 )
= $false )
| ( ( c_lessequals @ SV631 @ SV631 @ SV126 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2889]) ).
thf(3316,plain,
! [SV632: $i,SV127: $i] :
( ( ( class_Orderings_Opreorder @ SV127 )
= $false )
| ( ( c_lessequals @ SV632 @ SV632 @ SV127 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2890]) ).
thf(3317,plain,
! [SV1362: $i,SV1064: $i,SV633: $i,SV128: $i] :
( ( ( hBOOL @ ( hAPP @ SV128 @ SV633 ) )
| ~ ( c_lessequals @ SV1064 @ SV128 @ ( tc_fun @ SV1362 @ tc_bool ) )
| ~ ( hBOOL @ ( hAPP @ SV1064 @ SV633 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2891]) ).
thf(3318,plain,
! [SV1363: $i,SV1065: $i,SV634: $i,SV129: $i] :
( ( ! [SY3597: $i] :
( ( c_lessequals @ ( c_Set_Oimage @ SV129 @ SV634 @ SV1065 @ SV1363 ) @ ( c_Set_Oimage @ SV129 @ SY3597 @ SV1065 @ SV1363 ) @ ( tc_fun @ SV1363 @ tc_bool ) )
| ~ ( c_lessequals @ SV634 @ SY3597 @ ( tc_fun @ SV1065 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2892]) ).
thf(3319,plain,
! [SV1364: $i,SV1066: $i,SV635: $i,SV130: $i] :
( ( ! [SY3598: $i] :
( ~ ( c_lessequals @ SV130 @ SV635 @ ( tc_fun @ SV1066 @ tc_bool ) )
| ( c_lessequals @ ( c_Set_Oimage @ SV1364 @ SV130 @ SV1066 @ SY3598 ) @ ( c_Set_Oimage @ SV1364 @ SV635 @ SV1066 @ SY3598 ) @ ( tc_fun @ SY3598 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2893]) ).
thf(3320,plain,
! [SV1365: $i,SV1067: $i,SV636: $i,SV131: $i] :
( ( ( c_lessequals @ ( c_Set_Oinsert @ SV131 @ SV636 @ SV1067 ) @ ( c_Set_Oinsert @ SV131 @ SV1365 @ SV1067 ) @ ( tc_fun @ SV1067 @ tc_bool ) )
| ~ ( c_lessequals @ SV636 @ SV1365 @ ( tc_fun @ SV1067 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2894]) ).
thf(3321,plain,
! [SV1366: $i,SV1068: $i,SV637: $i,SV132: $i] :
( ( ! [SY3599: $i] :
( ( c_Set_Oimage @ SV132 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV637 @ SV1068 @ ( tc_fun @ SV1366 @ tc_bool ) ) @ SV1366 @ SY3599 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ SV132 @ SV637 @ SV1366 @ SY3599 ) @ ( c_Set_Oimage @ SV132 @ SV1068 @ SV1366 @ SY3599 ) @ ( tc_fun @ SY3599 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2895]) ).
thf(3322,plain,
! [SV1367: $i,SV1069: $i,SV638: $i,SV133: $i] :
( ( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV133 @ SV638 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1069 @ SV1367 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oanalz @ SV638 ) @ ( c_Message_Oanalz @ SV1367 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oanalz @ SV133 ) @ ( c_Message_Oanalz @ SV1069 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2896]) ).
thf(3323,plain,
! [SV1070: $i,SV639: $i,SV135: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV135 ) )
= $true )
| ( ( ( c_lessequals @ SV639 @ SV1070 @ SV135 )
| ( c_lessequals @ SV1070 @ SV639 @ SV135 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2897]) ).
thf(3324,plain,
! [SV1071: $i,SV640: $i,SV136: $i] :
( ( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV136 @ SV640 @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ SV1071 ) @ ( c_Message_Oparts @ SV640 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV136 @ SV1071 @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2898]) ).
thf(3325,plain,
! [SV1072: $i,SV641: $i,SV138: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV138 ) @ SV641 ) ) @ ( c_Set_Oimage @ c_Public_OshrK @ SV1072 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2899]) ).
thf(3326,plain,
! [SV1368: $i,SV1073: $i,SV642: $i,SV139: $i] :
( ( ( c_lessequals @ SV139 @ SV642 @ ( tc_fun @ SV1073 @ tc_bool ) )
| ~ ( c_lessequals @ SV139 @ ( c_Set_Oinsert @ SV1368 @ SV642 @ SV1073 ) @ ( tc_fun @ SV1073 @ tc_bool ) )
| ( hBOOL @ ( c_in @ SV1368 @ SV139 @ SV1073 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2900]) ).
thf(3327,plain,
! [SV1369: $i,SV1074: $i,SV643: $i,SV140: $i] :
( ( ( c_lessequals @ SV140 @ ( c_Set_Oinsert @ SV643 @ SV1074 @ SV1369 ) @ ( tc_fun @ SV1369 @ tc_bool ) )
| ~ ( c_lessequals @ SV140 @ SV1074 @ ( tc_fun @ SV1369 @ tc_bool ) )
| ( hBOOL @ ( c_in @ SV643 @ SV140 @ SV1369 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2901]) ).
thf(3328,plain,
! [SV1370: $i,SV1075: $i,SV644: $i,SV141: $i] :
( ( ( c_lessequals @ SV141 @ SV644 @ ( tc_fun @ SV1075 @ tc_bool ) )
| ( hBOOL @ ( c_in @ SV1370 @ SV141 @ SV1075 ) )
| ~ ( c_lessequals @ SV141 @ ( c_Set_Oinsert @ SV1370 @ SV644 @ SV1075 ) @ ( tc_fun @ SV1075 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2902]) ).
thf(3329,plain,
! [SV1371: $i,SV1076: $i,SV645: $i,SV142: $i] :
( ( ( c_lessequals @ SV142 @ ( c_Set_Oinsert @ SV645 @ SV1076 @ SV1371 ) @ ( tc_fun @ SV1371 @ tc_bool ) )
| ~ ( c_lessequals @ SV142 @ SV1076 @ ( tc_fun @ SV1371 @ tc_bool ) )
| ( hBOOL @ ( c_in @ SV645 @ SV142 @ SV1371 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2903]) ).
thf(3330,plain,
! [SV1372: $i,SV1077: $i,SV646: $i,SV143: $i] :
( ( ! [SY3600: $i] :
( ( ( c_Set_Oinsert @ ( hAPP @ SV143 @ SV646 ) @ ( c_Set_Oimage @ SV143 @ SV1077 @ SV1372 @ SY3600 ) @ SY3600 )
= ( c_Set_Oimage @ SV143 @ SV1077 @ SV1372 @ SY3600 ) )
| ~ ( hBOOL @ ( c_in @ SV646 @ SV1077 @ SV1372 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2904]) ).
thf(3331,plain,
! [SV1373: $i,SV1078: $i,SV647: $i,SV144: $i] :
( ( ( hBOOL @ ( c_in @ SV144 @ SV647 @ SV1078 ) )
| ~ ( c_lessequals @ ( c_Set_Oinsert @ SV144 @ SV1373 @ SV1078 ) @ SV647 @ ( tc_fun @ SV1078 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2905]) ).
thf(3332,plain,
! [SV1374: $i,SV1079: $i,SV648: $i,SV145: $i] :
( ( ( c_lessequals @ ( c_Set_Oinsert @ SV145 @ SV648 @ SV1079 ) @ SV1374 @ ( tc_fun @ SV1079 @ tc_bool ) )
| ~ ( c_lessequals @ SV648 @ SV1374 @ ( tc_fun @ SV1079 @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV145 @ SV1374 @ SV1079 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2906]) ).
thf(3333,plain,
! [SV1081: $i,SV650: $i,SV147: $i] :
( ( ( hBOOL @ ( c_in @ SV147 @ ( c_Event_Oused @ SV650 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV147 @ SV1081 ) @ ( c_Event_Oused @ SV650 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2908]) ).
thf(3334,plain,
! [SV1082: $i,SV651: $i,SV148: $i] :
( ( ( hBOOL @ ( c_in @ SV148 @ ( c_Event_Oused @ SV651 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV1082 @ SV148 ) @ ( c_Event_Oused @ SV651 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2909]) ).
thf(3335,plain,
! [SV1083: $i,SV652: $i,SV149: $i] :
( ( ( hBOOL @ ( c_in @ SV149 @ ( c_Message_Oparts @ SV652 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ SV149 @ ( c_Message_Oparts @ SV1083 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV149 @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1083 @ SV652 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2910]) ).
thf(3336,plain,
! [SV1084: $i,SV653: $i,SV150: $i] :
( ( ( hBOOL @ ( c_in @ SV150 @ ( c_Message_Oparts @ SV653 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1084 @ ( c_Message_Oparts @ SV653 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV150 @ ( c_Message_Oparts @ SV1084 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2911]) ).
thf(3337,plain,
! [SV1085: $i,SV654: $i,SV151: $i] :
( ( ( hBOOL @ ( c_in @ SV151 @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV654 @ SV1085 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV151 @ ( c_Message_Oanalz @ SV1085 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2912]) ).
thf(3338,plain,
! [SV1086: $i,SV655: $i,SV152: $i] :
( ( ( hBOOL @ ( c_in @ SV152 @ ( c_Message_Oanalz @ SV655 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1086 @ ( c_Message_Oanalz @ SV655 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV152 @ ( c_Message_Oanalz @ SV1086 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2913]) ).
thf(3339,plain,
! [SV1087: $i,SV656: $i,SV153: $i] :
( ( ( hBOOL @ ( c_in @ SV153 @ ( c_Message_Oanalz @ SV656 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1087 ) @ ( c_Message_Oanalz @ SV656 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1087 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1087 @ SV153 ) @ ( c_Message_Oanalz @ SV656 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2914]) ).
thf(3340,plain,
! [SV1088: $i,SV657: $i,SV155: $i] :
( ( ( hBOOL @ ( c_in @ SV155 @ ( c_Message_Osynth @ SV657 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1088 @ ( c_Message_Osynth @ SV657 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV155 @ ( c_Message_Osynth @ SV1088 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2915]) ).
thf(3341,plain,
! [SV1089: $i,SV659: $i,SV157: $i] :
( ( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV157 @ SV659 @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1089 ) ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1089 @ SV659 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV157 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1089 ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2916]) ).
thf(3342,plain,
! [SV661: $i,SV160: $i] :
( ( ( c_lessequals @ SV160 @ SV661 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( c_lessequals @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV160 ) ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV661 ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2917]) ).
thf(3343,plain,
! [SV666: $i,SV166: $i] :
( ( ( hBOOL @ ( c_in @ SV166 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV666 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV166 @ SV666 @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV666 ) ) @ ( c_Message_Oparts @ SV666 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2920]) ).
thf(3344,plain,
! [SV1375: $i,SV1092: $i,SV667: $i,SV167: $i] :
( ( ( hBOOL @ ( c_in @ SV167 @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV667 @ SV1092 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1375 @ ( c_Message_Oparts @ SV1092 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV167 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV1375 @ SV667 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2921]) ).
thf(3345,plain,
! [SV1093: $i,SV668: $i,SV168: $i] :
( ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV168 @ SV668 @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ SV668 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1093 @ SV668 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV168 @ ( c_Message_Oanalz @ SV1093 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2922]) ).
thf(3346,plain,
! [SV173: $i,SV673: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV673 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV173 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV173 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV673 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV173 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2925]) ).
thf(3347,plain,
! [SV1096: $i,SV674: $i,SV174: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV174 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV674 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ( SV174 = SV1096 )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV174 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV1096 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV674 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV1096 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV674 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2926]) ).
thf(3348,plain,
! [SV1097: $i,SV675: $i,SV175: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV175 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV675 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1097 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV175 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1097 ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV675 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV1097 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2927]) ).
thf(3349,plain,
! [SV1376: $i,SV1098: $i,SV676: $i,SV176: $i] :
( ( ! [SY3601: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV176 @ SV676 ) @ ( c_Event_Oknows @ SV176 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV1098 @ SV1376 @ SY3601 ) @ SV676 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2928]) ).
thf(3350,plain,
! [SV1377: $i,SV1099: $i,SV677: $i,SV177: $i] :
( ( c_lessequals @ ( c_Event_Oknows @ SV177 @ SV677 ) @ ( c_Event_Oknows @ SV177 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV1099 @ SV1377 ) @ SV677 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2929]) ).
thf(3351,plain,
! [SV1378: $i,SV1100: $i,SV678: $i,SV178: $i] :
( ( c_lessequals @ ( c_Event_Oknows @ SV178 @ SV678 ) @ ( c_Event_Oknows @ SV178 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV1100 @ SV1378 ) @ SV678 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2930]) ).
thf(3352,plain,
! [SV1379: $i,SV1101: $i,SV679: $i,SV179: $i] :
( ( ! [SY3602: $i,SY3603: $i,SY3604: $i] :
( ~ ( hBOOL @ ( c_in @ SV179 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV679 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1101 @ ( c_Message_Omsg_OCrypt @ SV1379 @ ( c_Message_Omsg_OMPair @ SY3602 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3603 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV179 ) @ SY3604 ) ) ) ) ) @ ( c_List_Oset @ SV679 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2931]) ).
thf(3353,plain,
! [SV680: $i,SV180: $i] :
( ( ( hBOOL @ ( c_in @ SV180 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV680 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV180 @ ( c_Event_Oused @ SV680 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2932]) ).
thf(3354,plain,
! [SV1380: $i,SV1103: $i,SV682: $i,SV182: $i] :
( ( ( hBOOL @ ( c_in @ SV182 @ ( c_Event_Oused @ SV682 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1103 @ SV1380 @ SV182 ) @ ( c_List_Oset @ SV682 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2934]) ).
thf(3355,plain,
! [SV1381: $i,SV1104: $i,SV683: $i,SV183: $i] :
( ( ! [SY3605: $i,SY3606: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV183 @ SV683 @ ( c_Message_Omsg_OCrypt @ SV1104 @ ( c_Message_Omsg_ONonce @ SV1381 ) ) ) @ SY3605 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3606 @ SV183 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV183 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1104 ) @ ( c_Message_Omsg_OAgent @ SV683 ) ) ) ) @ ( c_List_Oset @ SY3605 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1104 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1381 ) @ ( c_Event_Oused @ SY3605 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SY3605 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2935]) ).
thf(3356,plain,
! [SV1382: $i,SV1105: $i,SV684: $i,SV184: $i] :
( ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV184 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV684 @ SV1105 @ SV1382 ) @ SV184 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2936]) ).
thf(3357,plain,
! [SV1106: $i,SV685: $i,SV185: $i] :
( ( ( hBOOL @ ( c_in @ SV185 @ ( c_Event_Oused @ SV685 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SV1106 @ SV185 ) @ ( c_List_Oset @ SV685 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2937]) ).
thf(3358,plain,
! [SV1383: $i,SV1109: $i,SV688: $i,SV188: $i] :
( ( ! [SY3607: $i,SY3608: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV188 @ SV688 @ ( c_Message_Omsg_OCrypt @ SV1109 @ ( c_Message_Omsg_ONonce @ SV1383 ) ) ) @ SY3607 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3608 @ SV188 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV188 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1109 ) @ ( c_Message_Omsg_OAgent @ SV688 ) ) ) ) @ ( c_List_Oset @ SY3607 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1109 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1383 ) @ ( c_Event_Oused @ SY3607 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY3607 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2940]) ).
thf(3359,plain,
! [SV1384: $i,SV1110: $i,SV689: $i,SV189: $i] :
( ( ! [SY3609: $i,SY3610: $i] :
( ~ ( hBOOL @ ( c_in @ SV189 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV689 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SV1110 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1110 ) @ ( c_Message_Omsg_OMPair @ SV1384 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3609 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV189 ) @ SY3610 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV689 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2941]) ).
thf(3360,plain,
! [SV1111: $i,SV690: $i,SV190: $i] :
( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV190 @ SV690 @ ( tc_fun @ SV1111 @ tc_bool ) )
= SV190 )
= $true )
| ( ( ~ ( c_lessequals @ SV690 @ SV190 @ ( tc_fun @ SV1111 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2942]) ).
thf(3361,plain,
! [SV1112: $i,SV691: $i,SV191: $i] :
( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV191 @ SV691 @ ( tc_fun @ SV1112 @ tc_bool ) )
= SV691 )
= $true )
| ( ( ~ ( c_lessequals @ SV191 @ SV691 @ ( tc_fun @ SV1112 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2943]) ).
thf(3362,plain,
! [SV1113: $i,SV692: $i,SV192: $i] :
( ( ( ~ ( class_Lattices_Oupper__semilattice @ SV192 ) )
= $true )
| ( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV692 @ SV1113 @ SV192 )
= SV1113 )
| ~ ( c_lessequals @ SV692 @ SV1113 @ SV192 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2944]) ).
thf(3363,plain,
! [SV1114: $i,SV693: $i,SV193: $i] :
( ( ( ~ ( class_Lattices_Oupper__semilattice @ SV193 ) )
= $true )
| ( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV693 @ SV1114 @ SV193 )
= SV693 )
| ~ ( c_lessequals @ SV1114 @ SV693 @ SV193 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2945]) ).
thf(3364,plain,
! [SV1115: $i,SV694: $i,SV194: $i] :
( ( ( ~ ( class_Orderings_Oorder @ SV194 ) )
= $true )
| ( ( ( SV694 = SV1115 )
| ~ ( c_lessequals @ SV694 @ SV1115 @ SV194 )
| ~ ( c_lessequals @ SV1115 @ SV694 @ SV194 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2946]) ).
thf(3365,plain,
! [SV1116: $i,SV695: $i,SV195: $i] :
( ( ( ~ ( class_Orderings_Oorder @ SV195 ) )
= $true )
| ( ( ( SV695 = SV1116 )
| ~ ( c_lessequals @ SV1116 @ SV695 @ SV195 )
| ~ ( c_lessequals @ SV695 @ SV1116 @ SV195 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2947]) ).
thf(3366,plain,
! [SV1117: $i,SV696: $i,SV196: $i] :
( ( ( ~ ( class_Orderings_Oorder @ SV196 ) )
= $true )
| ( ( ( SV696 = SV1117 )
| ~ ( c_lessequals @ SV1117 @ SV696 @ SV196 )
| ~ ( c_lessequals @ SV696 @ SV1117 @ SV196 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2948]) ).
thf(3367,plain,
! [SV1118: $i,SV697: $i,SV197: $i] :
( ( ( SV197 = SV697 )
= $true )
| ( ( ~ ( c_lessequals @ SV697 @ SV197 @ ( tc_fun @ SV1118 @ tc_bool ) )
| ~ ( c_lessequals @ SV197 @ SV697 @ ( tc_fun @ SV1118 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2949]) ).
thf(3368,plain,
! [SV1119: $i,SV698: $i,SV198: $i] :
( ( ( SV198 = SV698 )
= $true )
| ( ( ~ ( c_lessequals @ SV698 @ SV198 @ ( tc_fun @ SV1119 @ tc_bool ) )
| ~ ( c_lessequals @ SV198 @ SV698 @ ( tc_fun @ SV1119 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2950]) ).
thf(3369,plain,
! [SV1385: $i,SV1120: $i,SV702: $i,SV205: $i] :
( ( ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV205 @ SV702 @ ( tc_fun @ SV1120 @ tc_bool ) ) @ SV1385 ) )
| ~ ( hBOOL @ ( hAPP @ SV205 @ SV1385 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2953]) ).
thf(3370,plain,
! [SV1386: $i,SV1121: $i,SV703: $i,SV206: $i] :
( ( ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV206 @ SV703 @ ( tc_fun @ SV1121 @ tc_bool ) ) @ SV1386 ) )
| ~ ( hBOOL @ ( hAPP @ SV703 @ SV1386 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2954]) ).
thf(3371,plain,
! [SV1387: $i,SV1122: $i,SV704: $i,SV207: $i] :
( ( ( hBOOL @ ( hAPP @ SV207 @ SV704 ) )
| ( hBOOL @ ( hAPP @ SV1122 @ SV704 ) )
| ~ ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1122 @ SV207 @ ( tc_fun @ SV1387 @ tc_bool ) ) @ SV704 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2955]) ).
thf(3372,plain,
! [SV709: $i,SV214: $i] :
( ( ( class_Lattices_Obounded__lattice @ SV214 )
= $false )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Otop__class_Otop @ SV214 ) @ SV709 @ SV214 )
= ( c_Orderings_Otop__class_Otop @ SV214 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2959]) ).
thf(3373,plain,
! [SV710: $i,SV215: $i] :
( ( ( class_Lattices_Obounded__lattice @ SV215 )
= $false )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV710 @ ( c_Orderings_Otop__class_Otop @ SV215 ) @ SV215 )
= ( c_Orderings_Otop__class_Otop @ SV215 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2960]) ).
thf(3374,plain,
! [SV1388: $i,SV1124: $i,SV711: $i,SV216: $i] :
( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV216 ) @ SV711 ) ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV1124 ) @ SV1388 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2961]) ).
thf(3375,plain,
! [SV1389: $i,SV1125: $i,SV712: $i,SV217: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV217 @ ( c_Set_Oinsert @ SV712 @ SV1125 @ SV1389 ) @ ( tc_fun @ SV1389 @ tc_bool ) )
= ( c_Set_Oinsert @ SV712 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV217 @ SV1125 @ ( tc_fun @ SV1389 @ tc_bool ) ) @ SV1389 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2962]) ).
thf(3376,plain,
! [SV1390: $i,SV1126: $i,SV713: $i,SV218: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oinsert @ SV218 @ SV713 @ SV1126 ) @ SV1390 @ ( tc_fun @ SV1126 @ tc_bool ) )
= ( c_Set_Oinsert @ SV218 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV713 @ SV1390 @ ( tc_fun @ SV1126 @ tc_bool ) ) @ SV1126 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2963]) ).
thf(3377,plain,
! [SV1127: $i,SV714: $i,SV219: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV219 ) @ SV714 ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV219 ) @ SV1127 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV714 @ SV1127 @ tc_Message_Oagent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2964]) ).
thf(3378,plain,
! [SV1391: $i,SV1128: $i,SV715: $i,SV220: $i] :
( ( ( hBOOL @ ( c_in @ SV220 @ SV715 @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV1128 ) @ SV220 ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV1391 ) @ SV715 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2965]) ).
thf(3379,plain,
! [SV1392: $i,SV1129: $i,SV716: $i,SV221: $i] :
( ( ( SV221 = SV716 )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV221 ) @ SV1129 ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV716 ) @ SV1392 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2966]) ).
thf(3380,plain,
! [SV1393: $i,SV1130: $i,SV717: $i,SV222: $i] :
( ( ( c_lessequals @ SV222 @ ( c_Set_Oinsert @ SV717 @ SV1130 @ SV1393 ) @ ( tc_fun @ SV1393 @ tc_bool ) )
| ~ ( c_lessequals @ SV222 @ SV1130 @ ( tc_fun @ SV1393 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2967]) ).
thf(3381,plain,
! [SV1394: $i,SV1131: $i,SV718: $i,SV223: $i] :
( ( ( c_lessequals @ SV223 @ SV718 @ ( tc_fun @ SV1131 @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Set_Oinsert @ SV1394 @ SV223 @ SV1131 ) @ SV718 @ ( tc_fun @ SV1131 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2968]) ).
thf(3382,plain,
! [SV719: $i,SV224: $i] :
( ( ( c_lessequals @ SV224 @ SV719 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( c_lessequals @ ( c_Message_Oparts @ SV224 ) @ ( c_Message_Oparts @ SV719 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2969]) ).
thf(3383,plain,
! [SV1395: $i,SV1132: $i,SV720: $i,SV225: $i] :
( ( ! [SY3611: $i,SY3612: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ SV225 @ SV720 ) @ SV1132 @ SV1395 ) )
| ~ ( hBOOL @ ( c_in @ SV720 @ SY3611 @ SY3612 ) )
| ~ ( c_lessequals @ ( c_Set_Oimage @ SV225 @ SY3611 @ SY3612 @ SV1395 ) @ SV1132 @ ( tc_fun @ SV1395 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2970]) ).
thf(3384,plain,
! [SV1133: $i,SV721: $i,SV226: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV226 ) @ SV721 ) @ ( c_Set_Oimage @ c_Public_OshrK @ SV1133 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2971]) ).
thf(3385,plain,
! [SV1134: $i,SV722: $i,SV227: $i] :
( ( ( ~ ( class_Lattices_Olattice @ SV227 ) )
= $true )
| ( ( ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV722 @ SV1134 @ ( tc_fun @ t_a @ SV227 ) ) @ v_x )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( hAPP @ SV722 @ v_x ) @ ( hAPP @ SV1134 @ v_x ) @ SV227 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2972]) ).
thf(3386,plain,
! [SV724: $i,SV229: $i] :
( ( ( class_Lattices_Oupper__semilattice @ SV229 )
= $false )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV724 @ SV724 @ SV229 )
= SV724 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2973]) ).
thf(3387,plain,
! [SV1396: $i,SV1135: $i,SV727: $i,SV232: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ SV232 @ SV727 ) @ ( c_Set_Oimage @ SV232 @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SV1135 @ tc_bool ) ) @ SV1135 @ SV1396 ) @ SV1396 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2974]) ).
thf(3388,plain,
! [SV1397: $i,SV1136: $i,SV728: $i,SV233: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV233 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV728 @ SV1136 @ ( tc_fun @ SV1397 @ tc_bool ) ) @ ( tc_fun @ SV1397 @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV728 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV233 @ SV1136 @ ( tc_fun @ SV1397 @ tc_bool ) ) @ ( tc_fun @ SV1397 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2975]) ).
thf(3389,plain,
! [SV1398: $i,SV1137: $i,SV729: $i,SV234: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV234 @ SV729 @ ( tc_fun @ SV1137 @ tc_bool ) ) @ SV1398 @ ( tc_fun @ SV1137 @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV234 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV729 @ SV1398 @ ( tc_fun @ SV1137 @ tc_bool ) ) @ ( tc_fun @ SV1137 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2976]) ).
thf(3390,plain,
! [SV1399: $i,SV1138: $i,SV730: $i,SV235: $i] :
( ( ~ ( class_Lattices_Oupper__semilattice @ SV235 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV730 @ SV1138 @ SV235 ) @ SV1399 @ SV235 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV730 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1138 @ SV1399 @ SV235 ) @ SV235 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2977]) ).
thf(3391,plain,
! [SV1400: $i,SV1139: $i,SV731: $i,SV236: $i] :
( ( ~ ( class_Lattices_Oupper__semilattice @ SV236 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV731 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1139 @ SV1400 @ SV236 ) @ SV236 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV1139 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV731 @ SV1400 @ SV236 ) @ SV236 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2978]) ).
thf(3392,plain,
! [SV1401: $i,SV1140: $i,SV732: $i,SV237: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV237 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV732 @ SV1140 @ ( tc_fun @ SV1401 @ tc_bool ) ) @ ( tc_fun @ SV1401 @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV237 @ SV732 @ ( tc_fun @ SV1401 @ tc_bool ) ) @ SV1140 @ ( tc_fun @ SV1401 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2979]) ).
thf(3393,plain,
! [SV1402: $i,SV1141: $i,SV733: $i,SV238: $i] :
( ( ~ ( class_Lattices_Olattice @ SV238 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV733 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1141 @ SV1402 @ SV238 ) @ SV238 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV1141 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV733 @ SV1402 @ SV238 ) @ SV238 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2980]) ).
thf(3394,plain,
! [SV1403: $i,SV1142: $i,SV734: $i,SV239: $i] :
( ( ~ ( class_Lattices_Olattice @ SV239 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV734 @ SV1142 @ SV239 ) @ SV1403 @ SV239 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV734 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1142 @ SV1403 @ SV239 ) @ SV239 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2981]) ).
thf(3395,plain,
! [SV1404: $i,SV1143: $i,SV735: $i,SV240: $i] :
( ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV240 @ SV735 @ ( tc_fun @ SV1143 @ tc_bool ) ) @ SV1404 @ ( tc_fun @ SV1143 @ tc_bool ) )
| ~ ( c_lessequals @ SV735 @ SV1404 @ ( tc_fun @ SV1143 @ tc_bool ) )
| ~ ( c_lessequals @ SV240 @ SV1404 @ ( tc_fun @ SV1143 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2982]) ).
thf(3396,plain,
! [SV1405: $i,SV1146: $i,SV738: $i,SV243: $i] :
( ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV243 @ SV738 @ ( tc_fun @ SV1146 @ tc_bool ) ) @ SV1405 @ ( tc_fun @ SV1146 @ tc_bool ) )
| ~ ( c_lessequals @ SV738 @ SV1405 @ ( tc_fun @ SV1146 @ tc_bool ) )
| ~ ( c_lessequals @ SV243 @ SV1405 @ ( tc_fun @ SV1146 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2985]) ).
thf(3397,plain,
! [SV1406: $i,SV1147: $i,SV739: $i,SV244: $i] :
( ( ~ ( class_Lattices_Oupper__semilattice @ SV244 )
| ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV739 @ SV1147 @ SV244 ) @ SV1406 @ SV244 )
| ~ ( c_lessequals @ SV1147 @ SV1406 @ SV244 )
| ~ ( c_lessequals @ SV739 @ SV1406 @ SV244 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2986]) ).
thf(3398,plain,
! [SV1148: $i,SV740: $i,SV245: $i] :
( ( ( ~ ( class_Lattices_Oupper__semilattice @ SV245 ) )
= $true )
| ( ( c_lessequals @ SV740 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV740 @ SV1148 @ SV245 ) @ SV245 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2987]) ).
thf(3399,plain,
! [SV1149: $i,SV741: $i,SV246: $i] :
( ( ( ~ ( class_Lattices_Oupper__semilattice @ SV246 ) )
= $true )
| ( ( c_lessequals @ SV741 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1149 @ SV741 @ SV246 ) @ SV246 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2988]) ).
thf(3400,plain,
! [SV1407: $i,SV1150: $i,SV742: $i,SV247: $i] :
( ( ~ ( class_Lattices_Oupper__semilattice @ SV247 )
| ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV742 @ SV1150 @ SV247 ) @ SV1407 @ SV247 )
| ~ ( c_lessequals @ SV1150 @ SV1407 @ SV247 )
| ~ ( c_lessequals @ SV742 @ SV1407 @ SV247 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2989]) ).
thf(3401,plain,
! [SV1408: $i,SV1151: $i,SV743: $i,SV248: $i] :
( ( ~ ( class_Lattices_Oupper__semilattice @ SV248 )
| ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV743 @ SV1151 @ SV248 ) @ SV1408 @ SV248 )
| ~ ( c_lessequals @ SV1151 @ SV1408 @ SV248 )
| ~ ( c_lessequals @ SV743 @ SV1408 @ SV248 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2990]) ).
thf(3402,plain,
! [SV1152: $i,SV744: $i,SV249: $i] :
( ( ( ~ ( class_Lattices_Olattice @ SV249 ) )
= $true )
| ( ( c_lessequals @ SV744 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1152 @ SV744 @ SV249 ) @ SV249 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2991]) ).
thf(3403,plain,
! [SV1153: $i,SV745: $i,SV250: $i] :
( ( ( ~ ( class_Lattices_Olattice @ SV250 ) )
= $true )
| ( ( c_lessequals @ SV745 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV745 @ SV1153 @ SV250 ) @ SV250 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2992]) ).
thf(3404,plain,
! [SV1155: $i,SV747: $i,SV252: $i] :
( ( ( ~ ( class_Lattices_Oupper__semilattice @ SV252 ) )
= $true )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV747 @ SV1155 @ SV252 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV1155 @ SV747 @ SV252 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2994]) ).
thf(3405,plain,
! [SV1156: $i,SV748: $i,SV253: $i] :
( ( ( ~ ( class_Lattices_Olattice @ SV253 ) )
= $true )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV748 @ SV1156 @ SV253 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV1156 @ SV748 @ SV253 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2995]) ).
thf(3406,plain,
! [SV749: $i,SV254: $i] :
( ( ( c_lessequals @ SV254 @ ( c_Message_Oparts @ SV749 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( c_lessequals @ ( c_Message_Oparts @ SV254 ) @ ( c_Message_Oparts @ SV749 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2996]) ).
thf(3407,plain,
! [SV750: $i,SV255: $i] :
( ( ( c_lessequals @ ( c_Message_Oparts @ SV255 ) @ ( c_Message_Oparts @ SV750 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV255 @ ( c_Message_Oparts @ SV750 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2997]) ).
thf(3408,plain,
! [SV1158: $i,SV752: $i,SV257: $i] :
( ( ( ~ ( class_Lattices_Oupper__semilattice @ SV257 ) )
= $true )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV752 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV752 @ SV1158 @ SV257 ) @ SV257 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV752 @ SV1158 @ SV257 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2999]) ).
thf(3409,plain,
! [SV1159: $i,SV753: $i,SV258: $i] :
( ( ( ~ ( class_Lattices_Olattice @ SV258 ) )
= $true )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV753 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV753 @ SV1159 @ SV258 ) @ SV258 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV753 @ SV1159 @ SV258 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3000]) ).
thf(3410,plain,
! [SV1409: $i,SV1160: $i,SV755: $i,SV260: $i] :
( ( ! [SY3613: $i] :
( ( c_Set_Oinsert @ ( hAPP @ SV260 @ SV755 ) @ ( c_Set_Oimage @ SV260 @ SV1160 @ SV1409 @ SY3613 ) @ SY3613 )
= ( c_Set_Oimage @ SV260 @ ( c_Set_Oinsert @ SV755 @ SV1160 @ SV1409 ) @ SV1409 @ SY3613 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3002]) ).
thf(3411,plain,
! [SV1161: $i,SV756: $i,SV261: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ SV261 ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV756 ) @ SV1161 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3003]) ).
thf(3412,plain,
! [SV1410: $i,SV1162: $i,SV757: $i,SV262: $i] :
( ( ! [SY3614: $i] :
( ~ ( class_HOL_Oord @ SV262 )
| ( c_lessequals @ ( hAPP @ SV757 @ SV1162 ) @ ( hAPP @ SV1410 @ SV1162 ) @ SV262 )
| ~ ( c_lessequals @ SV757 @ SV1410 @ ( tc_fun @ SY3614 @ SV262 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3004]) ).
thf(3413,plain,
! [SV758: $i,SV263: $i] :
( ( ( hBOOL @ ( c_in @ SV263 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV263 ) @ ( c_Event_Oused @ SV758 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3005]) ).
thf(3414,plain,
! [SV1411: $i,SV1163: $i,SV759: $i,SV264: $i] :
( ( ( hBOOL @ ( c_in @ SV264 @ SV759 @ SV1163 ) )
| ~ ( hBOOL @ ( c_in @ SV264 @ SV1411 @ SV1163 ) )
| ~ ( c_lessequals @ SV1411 @ SV759 @ ( tc_fun @ SV1163 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3006]) ).
thf(3415,plain,
! [SV1412: $i,SV1164: $i,SV760: $i,SV265: $i] :
( ( ( hBOOL @ ( c_in @ SV265 @ SV760 @ SV1164 ) )
| ~ ( c_lessequals @ SV1412 @ SV760 @ ( tc_fun @ SV1164 @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV265 @ SV1412 @ SV1164 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3007]) ).
thf(3416,plain,
! [SV1413: $i,SV1165: $i,SV761: $i,SV266: $i] :
( ( ( hBOOL @ ( c_in @ SV266 @ SV761 @ SV1165 ) )
| ~ ( hBOOL @ ( c_in @ SV266 @ SV1413 @ SV1165 ) )
| ~ ( c_lessequals @ SV1413 @ SV761 @ ( tc_fun @ SV1165 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3008]) ).
thf(3417,plain,
! [SV1414: $i,SV1166: $i,SV762: $i,SV267: $i] :
( ( ( hBOOL @ ( c_in @ SV267 @ SV762 @ SV1166 ) )
| ~ ( hBOOL @ ( c_in @ SV267 @ SV1414 @ SV1166 ) )
| ~ ( c_lessequals @ SV1414 @ SV762 @ ( tc_fun @ SV1166 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3009]) ).
thf(3418,plain,
! [SV1415: $i,SV1167: $i,SV763: $i,SV268: $i] :
( ( ( hBOOL @ ( c_in @ SV268 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV763 @ SV1167 @ ( tc_fun @ SV1415 @ tc_bool ) ) @ SV1415 ) )
| ~ ( hBOOL @ ( c_in @ SV268 @ SV763 @ SV1415 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3010]) ).
thf(3419,plain,
! [SV1416: $i,SV1168: $i,SV764: $i,SV269: $i] :
( ( ( hBOOL @ ( c_in @ SV269 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV764 @ SV1168 @ ( tc_fun @ SV1416 @ tc_bool ) ) @ SV1416 ) )
| ~ ( hBOOL @ ( c_in @ SV269 @ SV1168 @ SV1416 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3011]) ).
thf(3420,plain,
! [SV1417: $i,SV1169: $i,SV765: $i,SV270: $i] :
( ( ( hBOOL @ ( c_in @ SV270 @ SV765 @ SV1169 ) )
| ( hBOOL @ ( c_in @ SV270 @ SV1417 @ SV1169 ) )
| ~ ( hBOOL @ ( c_in @ SV270 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1417 @ SV765 @ ( tc_fun @ SV1169 @ tc_bool ) ) @ SV1169 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3012]) ).
thf(3421,plain,
! [SV1418: $i,SV1170: $i,SV767: $i,SV272: $i] :
( ( ! [SY3615: $i] :
( ~ ( hBOOL @ ( c_in @ SV272 @ SV767 @ SV1170 ) )
| ( hBOOL @ ( c_in @ ( hAPP @ SV1418 @ SV272 ) @ ( c_Set_Oimage @ SV1418 @ SV767 @ SV1170 @ SY3615 ) @ SY3615 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3013]) ).
thf(3422,plain,
! [SV1419: $i,SV1171: $i,SV768: $i,SV273: $i] :
( ( ! [SY3616: $i] :
( ~ ( hBOOL @ ( c_in @ SV273 @ SV768 @ SV1171 ) )
| ( hBOOL @ ( c_in @ ( hAPP @ SV1419 @ SV273 ) @ ( c_Set_Oimage @ SV1419 @ SV768 @ SV1171 @ SY3616 ) @ SY3616 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3014]) ).
thf(3423,plain,
! [SV1420: $i,SV1172: $i,SV769: $i,SV274: $i] :
( ( ! [SY3617: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ SV274 @ SV769 ) @ ( c_Set_Oimage @ SV274 @ SV1172 @ SV1420 @ SY3617 ) @ SY3617 ) )
| ~ ( hBOOL @ ( c_in @ SV769 @ SV1172 @ SV1420 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3015]) ).
thf(3424,plain,
! [SV1421: $i,SV1173: $i,SV770: $i,SV275: $i] :
( ( ! [SY3618: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ SV275 @ SV770 ) @ ( c_Set_Oimage @ SV275 @ SV1173 @ SV1421 @ SY3618 ) @ SY3618 ) )
| ~ ( hBOOL @ ( c_in @ SV770 @ SV1173 @ SV1421 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3016]) ).
thf(3425,plain,
! [SV771: $i,SV276: $i] :
( ( ( c_lessequals @ SV276 @ SV771 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( c_lessequals @ ( c_Message_Oanalz @ SV276 ) @ ( c_Message_Oanalz @ SV771 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3017]) ).
thf(3426,plain,
! [SV772: $i,SV277: $i] :
( ( ( c_lessequals @ SV277 @ ( c_Message_Oanalz @ SV772 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( c_lessequals @ ( c_Message_Oanalz @ SV277 ) @ ( c_Message_Oanalz @ SV772 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3018]) ).
thf(3427,plain,
! [SV773: $i,SV278: $i] :
( ( ( c_lessequals @ ( c_Message_Oanalz @ SV278 ) @ ( c_Message_Oanalz @ SV773 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV278 @ ( c_Message_Oanalz @ SV773 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3019]) ).
thf(3428,plain,
! [SV775: $i,SV282: $i] :
( ( ( c_lessequals @ SV282 @ SV775 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( c_lessequals @ ( c_Message_Osynth @ SV282 ) @ ( c_Message_Osynth @ SV775 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3020]) ).
thf(3429,plain,
! [SV776: $i,SV283: $i] :
( ( ( c_lessequals @ SV283 @ ( c_Message_Osynth @ SV776 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( c_lessequals @ ( c_Message_Osynth @ SV283 ) @ ( c_Message_Osynth @ SV776 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3021]) ).
thf(3430,plain,
! [SV777: $i,SV284: $i] :
( ( ( c_lessequals @ ( c_Message_Osynth @ SV284 ) @ ( c_Message_Osynth @ SV777 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV284 @ ( c_Message_Osynth @ SV777 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3022]) ).
thf(3431,plain,
! [SV778: $i,SV285: $i] :
( ( ( hBOOL @ ( c_in @ SV285 @ SV778 @ tc_Message_Oagent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ SV285 ) @ ( c_Set_Oimage @ c_Public_OshrK @ SV778 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3023]) ).
thf(3432,plain,
! [SV779: $i,SV286: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ SV286 ) @ ( c_Set_Oimage @ c_Public_OshrK @ SV779 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV286 @ SV779 @ tc_Message_Oagent ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3024]) ).
thf(3433,plain,
! [SV1422: $i,SV1174: $i,SV780: $i,SV287: $i] :
( ( ! [SY3619: $i,SY3620: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV287 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV287 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV780 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1174 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1422 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1174 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1422 ) @ ( c_Message_Omsg_OAgent @ SV287 ) ) ) ) ) ) ) ) @ SY3619 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3620 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV287 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1174 ) @ ( c_Message_Omsg_ONonce @ SV780 ) ) ) ) @ ( c_List_Oset @ SY3619 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1422 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1422 ) @ ( c_Event_Oused @ SY3619 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SY3619 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3025]) ).
thf(3434,plain,
! [SV1423: $i,SV1175: $i,SV781: $i,SV288: $i] :
( ( ! [SY3621: $i,SY3622: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV288 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV288 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV781 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1175 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1423 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1175 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1423 ) @ ( c_Message_Omsg_OAgent @ SV288 ) ) ) ) ) ) ) ) @ SY3621 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3622 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV288 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1175 ) @ ( c_Message_Omsg_ONonce @ SV781 ) ) ) ) @ ( c_List_Oset @ SY3621 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1423 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1423 ) @ ( c_Event_Oused @ SY3621 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY3621 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3026]) ).
thf(3435,plain,
! [SV1176: $i,SV782: $i,SV289: $i] :
( ( ( hBOOL @ ( c_in @ SV289 @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV782 ) ) @ ( c_Message_Oparts @ SV782 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1176 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV782 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV289 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV1176 @ SV782 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3027]) ).
thf(3436,plain,
! [SV1424: $i,SV1177: $i,SV783: $i,SV290: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV290 ) @ ( c_Message_Oanalz @ SV783 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV290 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV1177 @ SV783 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SV1424 @ SV783 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV1177 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1424 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3028]) ).
thf(3437,plain,
! [SV1425: $i,SV1178: $i,SV784: $i,SV291: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV291 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV784 @ SV1178 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV291 ) @ ( c_Message_Oanalz @ SV1178 ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SV1425 @ SV1178 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV784 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1425 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3029]) ).
thf(3438,plain,
! [SV1426: $i,SV1179: $i,SV785: $i,SV292: $i] :
( ( ! [SY3623: $i,SY3624: $i,SY3625: $i] :
( ( hBOOL @ ( c_in @ SV292 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV785 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1179 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV785 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1426 @ SY3623 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3623 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3624 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3625 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1179 ) @ SV292 ) ) ) ) ) @ ( c_List_Oset @ SV785 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3030]) ).
thf(3439,plain,
! [SV1427: $i,SV1180: $i,SV786: $i,SV293: $i] :
( ( ! [SY3626: $i,SY3627: $i,SY3628: $i,SY3629: $i,SY3630: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV293 @ SV786 @ ( c_Message_Omsg_OCrypt @ SV1180 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1427 ) @ ( c_Message_Omsg_ONonce @ SV1427 ) ) ) ) @ SY3626 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3627 @ SV293 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV293 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3628 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV786 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1180 ) @ SY3629 ) ) ) ) ) @ ( c_List_Oset @ SY3626 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3630 @ SV293 @ ( c_Message_Omsg_OCrypt @ SV1180 @ ( c_Message_Omsg_ONonce @ SV1427 ) ) ) @ ( c_List_Oset @ SY3626 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1180 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SY3626 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3031]) ).
thf(3440,plain,
! [SV1181: $i,SV787: $i,SV294: $i] :
( ( ( c_lessequals @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV294 @ SV787 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV787 @ SV1181 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV294 @ SV787 ) @ SV1181 @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV294 ) ) @ ( c_Message_Oanalz @ SV1181 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3032]) ).
thf(3441,plain,
! [SV1182: $i,SV788: $i,SV295: $i] :
( ( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV295 @ SV788 ) @ SV1182 @ tc_Message_Omsg ) ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV295 @ SV788 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV788 @ SV1182 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV295 ) ) @ ( c_Message_Oanalz @ SV1182 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3033]) ).
thf(3442,plain,
! [SV1428: $i,SV1183: $i,SV789: $i,SV296: $i] :
( ( ! [SY3631: $i,SY3632: $i,SY3633: $i,SY3634: $i,SY3635: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV296 @ SV789 @ ( c_Message_Omsg_OCrypt @ SV1183 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1428 ) @ ( c_Message_Omsg_ONonce @ SV1428 ) ) ) ) @ SY3631 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3632 @ SV296 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV296 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3633 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV789 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1183 ) @ SY3634 ) ) ) ) ) @ ( c_List_Oset @ SY3631 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3635 @ SV296 @ ( c_Message_Omsg_OCrypt @ SV1183 @ ( c_Message_Omsg_ONonce @ SV1428 ) ) ) @ ( c_List_Oset @ SY3631 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1183 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SY3631 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3034]) ).
thf(3443,plain,
! [SV1429: $i,SV1184: $i,SV790: $i,SV297: $i] :
( ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV297 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV297 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV790 ) @ ( c_Message_Omsg_ONonce @ SV1184 ) ) ) ) @ SV1429 @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1184 ) @ ( c_Event_Oused @ SV1429 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1429 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3035]) ).
thf(3444,plain,
! [SV1430: $i,SV1185: $i,SV791: $i,SV298: $i] :
( ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV298 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV298 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV791 ) @ ( c_Message_Omsg_ONonce @ SV1185 ) ) ) ) @ SV1430 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1185 ) @ ( c_Event_Oused @ SV1430 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1430 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3036]) ).
thf(3445,plain,
! [SV1431: $i,SV1186: $i,SV792: $i,SV299: $i] :
( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV299 @ SV792 @ SV1186 ) @ SV1431 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV1186 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1431 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3037]) ).
thf(3446,plain,
! [SV1188: $i,SV794: $i,SV301: $i] :
( ( ( hBOOL @ ( c_in @ SV301 @ ( c_Message_Oanalz @ SV794 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV1188 ) ) @ ( c_Message_Oanalz @ SV794 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1188 @ SV301 ) @ ( c_Message_Oanalz @ SV794 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3039]) ).
thf(3447,plain,
! [SV1432: $i,SV1190: $i,SV796: $i,SV303: $i] :
( ( ( c_Event_Oknows @ SV303 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV303 @ SV796 @ SV1190 ) @ SV1432 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV1190 @ ( c_Event_Oknows @ SV303 @ SV1432 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3041]) ).
thf(3448,plain,
! [SV1192: $i,SV798: $i,SV305: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV305 ) @ SV798 ) ) ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1192 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV798 @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3043]) ).
thf(3449,plain,
! [SV799: $i,SV306: $i] :
( ( ( hBOOL @ ( c_in @ SV306 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV799 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV306 @ SV799 @ tc_Message_Omsg ) ) )
= ( c_Message_Osynth @ ( c_Message_Oanalz @ SV799 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3044]) ).
thf(3450,plain,
! [SV1433: $i,SV1194: $i,SV802: $i,SV309: $i] :
( ( ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV309 @ SV802 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ SV1194 ) @ SV1433 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ SV1194 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV309 @ SV802 ) @ SV1433 @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3046]) ).
thf(3451,plain,
! [SV1434: $i,SV1195: $i,SV803: $i,SV310: $i] :
( ( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV310 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV803 @ SV1195 ) @ SV1434 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV803 @ SV1195 ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV310 ) @ SV1434 @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3047]) ).
thf(3452,plain,
! [SV804: $i,SV311: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV311 ) @ ( c_Message_Osynth @ SV804 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV311 ) @ SV804 @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3048]) ).
thf(3453,plain,
! [SV805: $i,SV312: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV312 ) @ ( c_Message_Osynth @ SV805 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV312 ) @ SV805 @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3049]) ).
thf(3454,plain,
! [SV806: $i,SV313: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV313 ) @ SV806 @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV313 ) @ ( c_Message_Osynth @ SV806 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3050]) ).
thf(3455,plain,
! [SV1196: $i,SV807: $i,SV314: $i] :
( ( ( hBOOL @ ( c_in @ SV314 @ ( c_Message_Osynth @ SV807 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1196 @ ( c_Message_Osynth @ SV807 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV314 @ ( c_Message_Osynth @ ( c_Set_Oinsert @ SV1196 @ SV807 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3051]) ).
thf(3456,plain,
! [SV1197: $i,SV808: $i,SV315: $i] :
( ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV315 @ SV808 ) @ SV1197 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV315 @ SV808 ) @ ( c_Message_Oanalz @ SV1197 ) @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV315 ) ) @ ( c_Message_Oanalz @ SV1197 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3052]) ).
thf(3457,plain,
! [SV1198: $i,SV809: $i,SV316: $i] :
( ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV316 @ SV809 ) @ SV1198 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV316 @ SV809 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV809 @ SV1198 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV316 ) ) @ ( c_Message_Oanalz @ SV1198 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3053]) ).
thf(3458,plain,
! [SV1435: $i,SV1199: $i,SV810: $i,SV317: $i] :
( ( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV317 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV810 @ SV1199 ) @ SV1435 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV810 @ SV1199 ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV317 ) @ SV1435 @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3054]) ).
thf(3459,plain,
! [SV812: $i,SV319: $i] :
( ( ( hBOOL @ ( c_in @ SV319 @ ( c_Message_Oanalz @ SV812 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV319 @ ( c_Message_Oparts @ SV812 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3056]) ).
thf(3460,plain,
! [SV813: $i,SV320: $i] :
( ( ( hBOOL @ ( c_in @ SV320 @ ( c_Message_Oanalz @ SV813 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV320 @ ( c_Message_Oparts @ SV813 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3057]) ).
thf(3461,plain,
! [SV814: $i,SV321: $i] :
( ( ( hBOOL @ ( c_in @ SV321 @ ( c_Message_Oanalz @ SV814 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV321 @ ( c_Message_Oparts @ SV814 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3058]) ).
thf(3462,plain,
! [SV1201: $i,SV815: $i,SV322: $i] :
( ( ( hBOOL @ ( c_in @ SV322 @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV815 @ SV1201 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV322 @ ( c_Message_Oanalz @ SV1201 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3059]) ).
thf(3463,plain,
! [SV816: $i,SV323: $i] :
( ( ( hBOOL @ ( c_in @ SV323 @ ( c_Message_Oanalz @ SV816 ) @ tc_Message_Omsg ) )
= $false )
| ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV323 @ SV816 @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ SV816 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3060]) ).
thf(3464,plain,
! [SV1202: $i,SV817: $i,SV324: $i] :
( ( ( hBOOL @ ( c_in @ SV324 @ ( c_Message_Oanalz @ SV817 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1202 @ ( c_Message_Oanalz @ SV817 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV324 @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV1202 @ SV817 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3061]) ).
thf(3465,plain,
! [SV1436: $i,SV1203: $i,SV818: $i,SV325: $i] :
( ( ! [SY3636: $i] :
( ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV325 @ SV818 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV1203 @ SV1436 ) @ SY3636 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV1203 @ SV1436 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV325 @ SV818 ) @ SY3636 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3062]) ).
thf(3466,plain,
! [SV1204: $i,SV819: $i,SV326: $i] :
( ( ( hBOOL @ ( c_in @ SV326 @ ( c_Message_Oparts @ SV819 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1204 @ SV326 ) @ ( c_Message_Oparts @ SV819 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3063]) ).
thf(3467,plain,
! [SV1205: $i,SV820: $i,SV327: $i] :
( ( ( hBOOL @ ( c_in @ SV327 @ ( c_Message_Oparts @ SV820 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV327 @ SV1205 ) @ ( c_Message_Oparts @ SV820 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3064]) ).
thf(3468,plain,
! [SV1206: $i,SV821: $i,SV328: $i] :
( ( ( hBOOL @ ( c_in @ SV328 @ ( c_Message_Oparts @ SV821 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV1206 @ SV328 ) @ ( c_Message_Oparts @ SV821 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3065]) ).
thf(3469,plain,
! [SV1208: $i,SV823: $i,SV330: $i] :
( ( ( ( c_Event_Oknows @ SV330 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV330 @ SV823 ) @ SV1208 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV823 @ ( c_Event_Oknows @ SV330 @ SV1208 ) @ tc_Message_Omsg ) )
= $true )
| ( ( SV330 = c_Message_Oagent_OSpy )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3067]) ).
thf(3470,plain,
! [SV824: $i,SV334: $i] :
( ( ( hBOOL @ ( c_in @ SV334 @ ( c_Message_Oparts @ ( c_Message_Oparts @ SV824 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV334 @ ( c_Message_Oparts @ SV824 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3068]) ).
thf(3471,plain,
! [SV825: $i,SV335: $i] :
( ( ( hBOOL @ ( c_in @ SV335 @ SV825 @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV335 @ ( c_Message_Oparts @ SV825 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3069]) ).
thf(3472,plain,
! [SV1209: $i,SV826: $i,SV336: $i] :
( ( ( ( c_Set_Oinsert @ SV336 @ SV826 @ SV1209 )
= SV826 )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV336 @ SV826 @ SV1209 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3070]) ).
thf(3473,plain,
! [SV1437: $i,SV1213: $i,SV830: $i,SV340: $i] :
( ( ( hBOOL @ ( c_in @ SV340 @ SV830 @ SV1213 ) )
| ( SV340 = SV1437 )
| ~ ( hBOOL @ ( c_in @ SV340 @ ( c_Set_Oinsert @ SV1437 @ SV830 @ SV1213 ) @ SV1213 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3074]) ).
thf(3474,plain,
! [SV1438: $i,SV1214: $i,SV831: $i,SV341: $i] :
( ( ( hBOOL @ ( c_in @ SV341 @ ( c_Set_Oinsert @ SV831 @ SV1214 @ SV1438 ) @ SV1438 ) )
| ~ ( hBOOL @ ( c_in @ SV341 @ SV1214 @ SV1438 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3075]) ).
thf(3475,plain,
! [SV1439: $i,SV1215: $i,SV832: $i,SV342: $i] :
( ( ( hBOOL @ ( c_in @ SV342 @ ( c_Set_Oinsert @ SV832 @ SV1215 @ SV1439 ) @ SV1439 ) )
| ~ ( hBOOL @ ( c_in @ SV342 @ SV1215 @ SV1439 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3076]) ).
thf(3476,plain,
! [SV1440: $i,SV1216: $i,SV833: $i,SV343: $i] :
( ( ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV343 @ SV833 @ SV1216 ) @ SV1440 ) )
| ~ ( hBOOL @ ( hAPP @ SV833 @ SV1440 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3077]) ).
thf(3477,plain,
! [SV1441: $i,SV1219: $i,SV836: $i,SV346: $i] :
( ( ( c_Set_Oinsert @ SV346 @ ( c_Set_Oinsert @ SV836 @ SV1219 @ SV1441 ) @ SV1441 )
= ( c_Set_Oinsert @ SV836 @ ( c_Set_Oinsert @ SV346 @ SV1219 @ SV1441 ) @ SV1441 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3080]) ).
thf(3478,plain,
! [SV1442: $i,SV1221: $i,SV839: $i,SV349: $i] :
( ( ( hBOOL @ ( hAPP @ SV349 @ SV839 ) )
| ( SV1221 = SV839 )
| ~ ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV1221 @ SV349 @ SV1442 ) @ SV839 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3082]) ).
thf(3479,plain,
! [SV1443: $i,SV1222: $i,SV840: $i,SV350: $i] :
( ( ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV350 @ SV840 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ SV1222 ) @ SV1443 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ SV1222 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV350 @ SV840 ) @ SV1443 @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3083]) ).
thf(3480,plain,
! [SV843: $i,SV354: $i] :
( ( ( hBOOL @ ( c_in @ SV354 @ ( c_Message_Oparts @ SV843 ) @ tc_Message_Omsg ) )
= $false )
| ( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ SV354 @ SV843 @ tc_Message_Omsg ) )
= ( c_Message_Oparts @ SV843 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3085]) ).
thf(3481,plain,
! [SV1225: $i,SV847: $i,SV359: $i] :
( ( ( hBOOL @ ( c_in @ SV359 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV847 @ SV1225 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV359 @ ( c_Message_Oparts @ SV1225 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3087]) ).
thf(3482,plain,
! [SV1226: $i,SV848: $i,SV360: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV360 @ SV848 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1226 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV848 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1226 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV360 ) ) @ ( c_Message_Oanalz @ SV1226 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV360 ) @ ( c_Message_Oanalz @ SV1226 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3088]) ).
thf(3483,plain,
! [SV1227: $i,SV849: $i,SV361: $i] :
( ( ( hBOOL @ ( c_in @ SV361 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV849 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1227 @ SV361 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV849 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV1227 ) ) @ ( c_Message_Oanalz @ SV849 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1227 ) @ ( c_Message_Oanalz @ SV849 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3089]) ).
thf(3484,plain,
! [SV1444: $i,SV1229: $i,SV851: $i,SV363: $i] :
( ( ~ ( hBOOL @ ( c_in @ SV363 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV851 ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV363 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV1229 @ SV1444 ) @ SV851 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3091]) ).
thf(3485,plain,
! [SV1230: $i,SV852: $i,SV364: $i] :
( ( ( hBOOL @ ( c_in @ SV364 @ ( c_Event_Oknows @ SV852 @ SV1230 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OGets @ SV852 @ SV364 ) @ ( c_List_Oset @ SV1230 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV852 = c_Message_Oagent_OSpy ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3092]) ).
thf(3486,plain,
! [SV1445: $i,SV1231: $i,SV853: $i,SV365: $i] :
( ( ! [SY3637: $i,SY3638: $i,SY3639: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV365 @ SV853 @ SV1231 ) @ SV1445 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV365 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV365 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV853 ) @ ( c_Message_Omsg_ONonce @ SY3637 ) ) ) ) @ ( c_List_Oset @ SV1445 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3638 @ SV365 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV365 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3637 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV853 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3639 ) @ SV1231 ) ) ) ) ) @ ( c_List_Oset @ SV1445 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV365 = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1445 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3093]) ).
thf(3487,plain,
! [SV1446: $i,SV1232: $i,SV854: $i,SV366: $i] :
( ( ( hBOOL @ ( c_in @ SV366 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV854 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1232 @ SV1446 @ SV366 ) @ ( c_List_Oset @ SV854 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3094]) ).
thf(3488,plain,
! [SV1447: $i,SV1233: $i,SV855: $i,SV367: $i] :
( ( ! [SY3640: $i,SY3641: $i,SY3642: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV367 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV855 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV1233 ) ) ) ) @ SV1447 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3640 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3640 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV367 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3641 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1233 ) @ SY3642 ) ) ) ) ) @ ( c_List_Oset @ SV1447 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3641 @ SY3640 @ ( c_Message_Omsg_OCrypt @ SV1233 @ ( c_Message_Omsg_ONonce @ SV855 ) ) ) @ ( c_List_Oset @ SV1447 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1447 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3095]) ).
thf(3489,plain,
! [SV1234: $i,SV856: $i,SV368: $i] :
( ( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV368 @ SV856 ) @ SV1234 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV856 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1234 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV368 @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3096]) ).
thf(3490,plain,
! [SV1235: $i,SV857: $i,SV369: $i] :
( ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ SV369 @ SV857 ) @ SV1235 @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV857 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1235 ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1235 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3097]) ).
thf(3491,plain,
! [SV1448: $i,SV1236: $i,SV858: $i,SV370: $i] :
( ( ! [SY3643: $i,SY3644: $i,SY3645: $i,SY3646: $i] :
( ( hBOOL @ ( c_in @ SV370 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV858 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1236 @ SV1448 @ ( c_Message_Omsg_OCrypt @ SY3643 @ ( c_Message_Omsg_OMPair @ SY3644 @ ( c_Message_Omsg_OMPair @ SY3645 @ ( c_Message_Omsg_OMPair @ SY3646 @ SV370 ) ) ) ) ) @ ( c_List_Oset @ SV858 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3098]) ).
thf(3492,plain,
! [SV859: $i,SV371: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV371 @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV859 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV371 ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV859 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3099]) ).
thf(3493,plain,
! [SV860: $i,SV372: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV372 ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV860 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV860 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV372 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3100]) ).
thf(3494,plain,
! [SV1449: $i,SV1237: $i,SV861: $i,SV373: $i] :
( ( ! [SY3647: $i,SY3648: $i] :
( ( hBOOL @ ( c_in @ SV373 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV861 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1237 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1237 ) @ ( c_Message_Omsg_OMPair @ SV1449 @ ( c_Message_Omsg_OMPair @ SY3647 @ ( c_Message_Omsg_OMPair @ SV373 @ SY3648 ) ) ) ) ) @ ( c_List_Oset @ SV861 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3101]) ).
thf(3495,plain,
! [SV1450: $i,SV1238: $i,SV862: $i,SV374: $i] :
( ( ! [SY3649: $i,SY3650: $i] :
( ( SV374
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV862 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1238 ) @ ( c_Message_Omsg_OAgent @ SV1450 ) ) ) )
| ~ ( hBOOL @ ( c_in @ SY3649 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SV1450 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1450 ) @ ( c_Message_Omsg_OMPair @ SY3650 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV862 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1238 ) @ SV374 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY3649 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3102]) ).
thf(3496,plain,
! [SV1451: $i,SV1239: $i,SV863: $i,SV375: $i] :
( ( ! [SY3651: $i,SY3652: $i,SY3653: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV375 @ SV863 @ SV1239 ) @ SV1451 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV375 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV375 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV863 ) @ ( c_Message_Omsg_ONonce @ SY3651 ) ) ) ) @ ( c_List_Oset @ SV1451 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3652 @ SV375 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV375 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3651 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV863 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3653 ) @ SV1239 ) ) ) ) ) @ ( c_List_Oset @ SV1451 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV375 = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_in @ SV1451 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3103]) ).
thf(3497,plain,
! [SV1452: $i,SV1240: $i,SV864: $i,SV376: $i] :
( ( ! [SY3654: $i,SY3655: $i,SY3656: $i] :
( ( hBOOL @ ( c_in @ SV376 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV864 ) ) @ tc_Message_Omsg ) )
| ( SV376
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1240 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1452 ) @ ( c_Message_Omsg_OAgent @ SY3654 ) ) ) )
| ~ ( hBOOL @ ( c_in @ SV864 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3655 @ SY3654 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3654 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3656 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1240 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1452 ) @ SV376 ) ) ) ) ) @ ( c_List_Oset @ SV864 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3104]) ).
thf(3498,plain,
! [SV1453: $i,SV1241: $i,SV865: $i,SV377: $i] :
( ( ! [SY3657: $i,SY3658: $i,SY3659: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV377 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV865 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV1241 ) ) ) ) @ SV1453 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3657 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3657 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV377 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3658 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1241 ) @ SY3659 ) ) ) ) ) @ ( c_List_Oset @ SV1453 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3658 @ SY3657 @ ( c_Message_Omsg_OCrypt @ SV1241 @ ( c_Message_Omsg_ONonce @ SV865 ) ) ) @ ( c_List_Oset @ SV1453 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1453 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3105]) ).
thf(3499,plain,
! [SV1454: $i,SV1242: $i,SV866: $i,SV378: $i] :
( ( ! [SY3660: $i,SY3661: $i] :
( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV378 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV378 ) @ ( c_Message_Omsg_OMPair @ SV866 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1242 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1454 ) @ SY3660 ) ) ) ) ) @ ( c_List_Oset @ SY3661 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SY3661 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SV378 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV378 ) @ ( c_Message_Omsg_OMPair @ SV866 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1242 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1454 ) @ SY3660 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY3661 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3106]) ).
thf(3500,plain,
! [SV1455: $i,SV1243: $i,SV867: $i,SV379: $i] :
( ( ( hBOOL @ ( c_in @ SV379 @ ( c_Event_Oknows @ SV867 @ SV1243 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV867 @ SV1455 @ SV379 ) @ ( c_List_Oset @ SV1243 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3107]) ).
thf(3501,plain,
! [SV1244: $i,SV868: $i,SV380: $i] :
( ( ( hBOOL @ ( c_in @ SV380 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV868 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV1244 @ SV380 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV868 ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3108]) ).
thf(3502,plain,
! [SV1245: $i,SV869: $i,SV381: $i] :
( ( ( hBOOL @ ( c_in @ SV381 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV869 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV381 @ SV1245 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV869 ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3109]) ).
thf(3503,plain,
! [SV1246: $i,SV870: $i,SV383: $i] :
( ( ( hBOOL @ ( c_in @ SV383 @ ( c_Message_Oanalz @ SV870 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV1246 @ SV383 ) @ ( c_Message_Oanalz @ SV870 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3110]) ).
thf(3504,plain,
! [SV1247: $i,SV871: $i,SV384: $i] :
( ( ( hBOOL @ ( c_in @ SV384 @ ( c_Message_Oanalz @ SV871 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV384 @ SV1247 ) @ ( c_Message_Oanalz @ SV871 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3111]) ).
thf(3505,plain,
! [SV872: $i,SV385: $i] :
( ( ( hBOOL @ ( c_in @ SV385 @ SV872 @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV385 @ ( c_Message_Oanalz @ SV872 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3112]) ).
thf(3506,plain,
! [SV1248: $i,SV873: $i,SV386: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV386 @ SV873 ) @ ( c_Message_Osynth @ SV1248 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV873 @ ( c_Message_Osynth @ SV1248 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV386 @ ( c_Message_Osynth @ SV1248 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3113]) ).
thf(3507,plain,
! [SV1456: $i,SV1249: $i,SV874: $i,SV387: $i] :
( ( ( hBOOL @ ( c_in @ SV387 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV874 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1249 @ SV1456 @ SV387 ) @ ( c_List_Oset @ SV874 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3114]) ).
thf(3508,plain,
! [SV1250: $i,SV875: $i,SV388: $i] :
( ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ SV388 @ SV875 ) @ SV1250 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV875 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1250 ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1250 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3115]) ).
thf(3509,plain,
! [SV1251: $i,SV876: $i,SV389: $i] :
( ( ( hBOOL @ ( c_in @ SV389 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV876 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1251 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SV1251 @ SV389 ) @ ( c_List_Oset @ SV876 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3116]) ).
thf(3510,plain,
! [SV1457: $i,SV1252: $i,SV877: $i,SV390: $i] :
( ( ! [SY3662: $i,SY3663: $i,SY3664: $i] :
( ( SV390
= ( hAPP @ c_Public_OshrK @ SV877 ) )
| ~ ( hBOOL @ ( c_in @ SV1252 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV877 @ ( c_Message_Omsg_OCrypt @ SV390 @ ( c_Message_Omsg_OMPair @ SV1457 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3662 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3663 ) @ SY3664 ) ) ) ) ) @ ( c_List_Oset @ SV1252 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3117]) ).
thf(3511,plain,
! [SV878: $i,SV391: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV391 ) @ SV878 @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV391 ) @ ( c_Message_Osynth @ SV878 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3118]) ).
thf(3512,plain,
! [SV879: $i,SV392: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV392 ) @ ( c_Message_Osynth @ SV879 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV392 ) @ SV879 @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3119]) ).
thf(3513,plain,
! [SV1253: $i,SV880: $i,SV393: $i] :
( ( ( hBOOL @ ( c_in @ SV393 @ ( c_Message_Oanalz @ SV880 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV1253 ) ) @ ( c_Message_Oanalz @ SV880 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1253 ) @ SV393 ) @ ( c_Message_Oanalz @ SV880 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3120]) ).
thf(3514,plain,
! [SV1458: $i,SV1254: $i,SV881: $i,SV394: $i] :
( ( ~ ( hBOOL @ ( c_in @ SV394 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV881 ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV394 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV1254 @ SV1458 ) @ SV881 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3121]) ).
thf(3515,plain,
! [SV1459: $i,SV1255: $i,SV882: $i,SV395: $i] :
( ( ( hBOOL @ ( c_in @ SV395 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV882 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1255 @ SV1459 @ SV395 ) @ ( c_List_Oset @ SV882 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3122]) ).
thf(3516,plain,
! [SV1256: $i,SV883: $i,SV396: $i] :
( ( ( hBOOL @ ( c_in @ SV396 @ ( c_Message_Osynth @ SV883 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV1256 @ SV396 ) @ SV883 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV1256 @ SV396 ) @ ( c_Message_Osynth @ SV883 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3123]) ).
thf(3517,plain,
! [SV1257: $i,SV884: $i,SV397: $i] :
( ( ( hBOOL @ ( c_in @ SV397 @ ( c_Message_Osynth @ SV884 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV397 @ SV1257 ) @ SV884 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV397 @ SV1257 ) @ ( c_Message_Osynth @ SV884 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3124]) ).
thf(3518,plain,
! [SV1460: $i,SV1258: $i,SV885: $i,SV398: $i] :
( ( ! [SY3665: $i,SY3666: $i,SY3667: $i,SY3668: $i,SY3669: $i,SY3670: $i] :
( ( SV398 = SV885 )
| ~ ( hBOOL @ ( c_in @ SV1258 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV885 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV885 ) @ ( c_Message_Omsg_OMPair @ SV1460 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3665 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3666 ) @ SY3667 ) ) ) ) ) @ ( c_List_Oset @ SV1258 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV398 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV398 ) @ ( c_Message_Omsg_OMPair @ SY3668 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3669 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3666 ) @ SY3670 ) ) ) ) ) @ ( c_List_Oset @ SV1258 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3125]) ).
thf(3519,plain,
! [SV1461: $i,SV1259: $i,SV886: $i,SV399: $i] :
( ( ! [SY3671: $i,SY3672: $i,SY3673: $i,SY3674: $i,SY3675: $i,SY3676: $i] :
( ( SV399 = SV886 )
| ~ ( hBOOL @ ( c_in @ SV1259 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1461 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1461 ) @ ( c_Message_Omsg_OMPair @ SV886 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3671 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3672 ) @ SY3673 ) ) ) ) ) @ ( c_List_Oset @ SV1259 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3674 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3674 ) @ ( c_Message_Omsg_OMPair @ SV399 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3675 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3672 ) @ SY3676 ) ) ) ) ) @ ( c_List_Oset @ SV1259 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3126]) ).
thf(3520,plain,
! [SV1462: $i,SV1260: $i,SV887: $i,SV400: $i] :
( ( ! [SY3677: $i,SY3678: $i,SY3679: $i,SY3680: $i,SY3681: $i,SY3682: $i] :
( ( SV400 = SV887 )
| ~ ( hBOOL @ ( c_in @ SV1260 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1462 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1462 ) @ ( c_Message_Omsg_OMPair @ SY3677 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV887 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3678 ) @ SY3679 ) ) ) ) ) @ ( c_List_Oset @ SV1260 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3680 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3680 ) @ ( c_Message_Omsg_OMPair @ SY3681 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV400 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3678 ) @ SY3682 ) ) ) ) ) @ ( c_List_Oset @ SV1260 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3127]) ).
thf(3521,plain,
! [SV1463: $i,SV1261: $i,SV888: $i,SV401: $i] :
( ( ! [SY3683: $i,SY3684: $i,SY3685: $i,SY3686: $i,SY3687: $i,SY3688: $i] :
( ( SV401 = SV888 )
| ~ ( hBOOL @ ( c_in @ SV1261 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1463 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1463 ) @ ( c_Message_Omsg_OMPair @ SY3683 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3684 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3685 ) @ SV888 ) ) ) ) ) @ ( c_List_Oset @ SV1261 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3686 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3686 ) @ ( c_Message_Omsg_OMPair @ SY3687 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3688 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3685 ) @ SV401 ) ) ) ) ) @ ( c_List_Oset @ SV1261 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3128]) ).
thf(3522,plain,
! [SV889: $i,SV402: $i] :
( ( ( hBOOL @ ( c_in @ SV402 @ c_Event_Obad @ tc_Message_Oagent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV402 ) ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV889 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3129]) ).
thf(3523,plain,
! [SV1262: $i,SV890: $i,SV403: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV403 @ SV890 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1262 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV890 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1262 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV403 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1262 ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3130]) ).
thf(3524,plain,
! [SV892: $i,SV405: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV405 ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV892 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV892 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV405 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3131]) ).
thf(3525,plain,
! [SV893: $i,SV406: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV406 @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV893 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV406 ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV893 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3132]) ).
thf(3526,plain,
! [SV894: $i,SV407: $i] :
( ( ( hBOOL @ ( c_in @ SV407 @ ( c_Message_Oanalz @ ( c_Message_Oanalz @ SV894 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV407 @ ( c_Message_Oanalz @ SV894 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3133]) ).
thf(3527,plain,
! [SV1263: $i,SV895: $i,SV408: $i] :
( ( ( hBOOL @ ( c_in @ SV408 @ SV895 @ SV1263 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV895 @ SV408 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3134]) ).
thf(3528,plain,
! [SV1264: $i,SV896: $i,SV409: $i] :
( ( ( hBOOL @ ( hAPP @ SV409 @ SV896 ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV896 @ SV409 @ SV1264 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3135]) ).
thf(3529,plain,
! [SV1464: $i,SV1265: $i,SV897: $i,SV410: $i] :
( ( ( hBOOL @ ( c_in @ SV410 @ ( c_List_Oset @ SV897 @ SV1265 ) @ SV1265 ) )
| ( SV410 = SV1464 )
| ~ ( hBOOL @ ( c_in @ SV410 @ ( c_List_Oset @ ( c_List_Olist_OCons @ SV1464 @ SV897 @ SV1265 ) @ SV1265 ) @ SV1265 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3136]) ).
thf(3530,plain,
! [SV1266: $i,SV898: $i,SV411: $i] :
( ( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV411 @ SV898 ) @ SV1266 @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1266 ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV411 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3137]) ).
thf(3531,plain,
! [SV1267: $i,SV899: $i,SV412: $i] :
( ( ( hBOOL @ ( c_in @ SV412 @ ( c_Event_Oknows @ SV899 @ SV1267 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SV899 @ SV412 ) @ ( c_List_Oset @ SV1267 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3138]) ).
thf(3532,plain,
! [SV1268: $i,SV900: $i,SV413: $i] :
( ( ( hBOOL @ ( c_in @ SV413 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV900 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1268 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1268 ) @ SV413 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV900 ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3139]) ).
thf(3533,plain,
! [SV903: $i,SV416: $i] :
( ( ( hBOOL @ ( c_in @ SV416 @ SV903 @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV416 @ ( c_Message_Osynth @ SV903 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3140]) ).
thf(3534,plain,
! [SV1465: $i,SV1269: $i,SV904: $i,SV417: $i] :
( ( ! [SY3689: $i,SY3690: $i,SY3691: $i] :
( ( SV417
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV904 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1269 ) @ ( c_Message_Omsg_OAgent @ SV1465 ) ) ) )
| ~ ( hBOOL @ ( c_in @ SY3689 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1465 @ ( c_Message_Omsg_OCrypt @ SY3690 @ ( c_Message_Omsg_OMPair @ SY3691 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV904 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1269 ) @ SV417 ) ) ) ) ) @ ( c_List_Oset @ SY3689 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3141]) ).
thf(3535,plain,
! [SV1270: $i,SV905: $i,SV418: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV418 @ SV905 ) @ ( c_Message_Osynth @ SV1270 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV418 @ SV905 ) @ SV1270 @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV418 ) @ SV1270 @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3142]) ).
thf(3536,plain,
! [SV1271: $i,SV906: $i,SV419: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV419 @ SV906 ) @ SV1271 @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV419 @ SV906 ) @ ( c_Message_Osynth @ SV1271 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV419 ) @ SV1271 @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3143]) ).
thf(3537,plain,
! [SV1272: $i,SV907: $i,SV420: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV420 ) @ SV907 @ tc_Message_Omsg ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV420 @ SV1272 ) @ SV907 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV420 @ SV1272 ) @ ( c_Message_Osynth @ SV907 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3144]) ).
thf(3538,plain,
! [SV908: $i,SV421: $i] :
( ( ( hBOOL @ ( c_in @ SV421 @ ( c_Message_Osynth @ ( c_Message_Osynth @ SV908 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV421 @ ( c_Message_Osynth @ SV908 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3145]) ).
thf(3539,plain,
! [SV1273: $i,SV909: $i,SV423: $i] :
( ( ( hBOOL @ ( c_in @ SV423 @ ( c_Message_Osynth @ SV909 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1273 @ SV423 ) @ SV909 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1273 @ SV423 ) @ ( c_Message_Osynth @ SV909 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3146]) ).
thf(3540,plain,
! [SV1466: $i,SV1274: $i,SV910: $i,SV424: $i] :
( ( ! [SY3692: $i] :
( ~ ( hBOOL @ ( c_in @ SV424 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV910 ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV424 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV1274 @ SV1466 @ SY3692 ) @ SV910 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3147]) ).
thf(3541,plain,
! [SV1275: $i,SV911: $i,SV425: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV425 @ SV911 ) @ ( c_Message_Osynth @ SV1275 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV425 ) @ SV1275 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV911 @ ( c_Message_Osynth @ SV1275 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3148]) ).
thf(3542,plain,
! [SV426: $i,SV912: $i] :
( ( ( class_Lattices_Olattice @ SV912 )
= $false )
| ( ( class_Lattices_Oupper__semilattice @ ( tc_fun @ SV426 @ SV912 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3149]) ).
thf(3543,plain,
! [SV427: $i,SV913: $i] :
( ( ( class_Lattices_Obounded__lattice @ SV913 )
= $false )
| ( ( class_Lattices_Obounded__lattice @ ( tc_fun @ SV427 @ SV913 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3150]) ).
thf(3544,plain,
! [SV428: $i,SV914: $i] :
( ( ( class_Lattices_Oboolean__algebra @ SV914 )
= $false )
| ( ( class_Lattices_Oboolean__algebra @ ( tc_fun @ SV428 @ SV914 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3151]) ).
thf(3545,plain,
! [SV429: $i,SV915: $i] :
( ( ( class_Orderings_Opreorder @ SV915 )
= $false )
| ( ( class_Orderings_Opreorder @ ( tc_fun @ SV429 @ SV915 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3152]) ).
thf(3546,plain,
! [SV430: $i,SV916: $i] :
( ( ( class_Lattices_Olattice @ SV916 )
= $false )
| ( ( class_Lattices_Olattice @ ( tc_fun @ SV430 @ SV916 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3153]) ).
thf(3547,plain,
! [SV431: $i,SV917: $i] :
( ( ( class_Orderings_Oorder @ SV917 )
= $false )
| ( ( class_Orderings_Oorder @ ( tc_fun @ SV431 @ SV917 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3154]) ).
thf(3548,plain,
! [SV432: $i,SV918: $i] :
( ( ( class_Orderings_Otop @ SV918 )
= $false )
| ( ( class_Orderings_Otop @ ( tc_fun @ SV432 @ SV918 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3155]) ).
thf(3549,plain,
! [SV433: $i,SV919: $i] :
( ( ( class_Orderings_Obot @ SV919 )
= $false )
| ( ( class_Orderings_Obot @ ( tc_fun @ SV433 @ SV919 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3156]) ).
thf(3550,plain,
! [SV434: $i,SV920: $i] :
( ( ( class_HOL_Ouminus @ SV920 )
= $false )
| ( ( class_HOL_Ouminus @ ( tc_fun @ SV434 @ SV920 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3157]) ).
thf(3551,plain,
! [SV435: $i,SV921: $i] :
( ( ( class_HOL_Oord @ SV921 )
= $false )
| ( ( class_HOL_Oord @ ( tc_fun @ SV435 @ SV921 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3158]) ).
thf(3552,plain,
! [SV1276: $i,SV923: $i,SV437: $i] :
( ( ( SV437 = SV923 )
= $true )
| ( ( ~ ( c_fequal @ SV437 @ SV923 @ SV1276 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3159]) ).
thf(3553,plain,
! [SV924: $i,SV438: $i] :
( ( ( ( c_Message_Omsg_OAgent @ SV438 )
= ( c_Message_Omsg_OAgent @ SV924 ) )
= $false )
| ( ( SV438 = SV924 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3160]) ).
thf(3554,plain,
! [SV1467: $i,SV1277: $i,SV926: $i,SV440: $i] :
( ( ( c_Event_Oevent_OGets @ SV440 @ SV926 )
!= ( c_Event_Oevent_ONotes @ SV1277 @ SV1467 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3162]) ).
thf(3555,plain,
! [SV1278: $i,SV927: $i,SV441: $i] :
( ( ( ( c_HOL_Ouminus__class_Ouminus @ SV441 @ ( tc_fun @ SV927 @ tc_bool ) )
!= ( c_HOL_Ouminus__class_Ouminus @ SV1278 @ ( tc_fun @ SV927 @ tc_bool ) ) )
= $true )
| ( ( SV441 = SV1278 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3163]) ).
thf(3556,plain,
! [SV1468: $i,SV1279: $i,SV928: $i,SV442: $i] :
( ( ! [SY3693: $i] :
( ( c_Event_Oevent_OSays @ SV442 @ SV928 @ SV1279 )
!= ( c_Event_Oevent_OGets @ SV1468 @ SY3693 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3164]) ).
thf(3557,plain,
! [SV1280: $i,SV929: $i,SV443: $i] :
( ( ( c_Message_Omsg_OAgent @ SV443 )
= ( c_Message_Omsg_OMPair @ SV929 @ SV1280 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3165]) ).
thf(3558,plain,
! [SV1281: $i,SV930: $i,SV444: $i] :
( ( ( c_Message_Omsg_OCrypt @ SV444 @ SV930 )
= ( c_Message_Omsg_ONonce @ SV1281 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3166]) ).
thf(3559,plain,
! [SV1282: $i,SV932: $i,SV446: $i] :
( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV446 @ SV932 @ ( tc_fun @ SV1282 @ tc_bool ) )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1282 @ tc_bool ) ) )
= $true )
| ( ( SV932
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1282 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3168]) ).
thf(3560,plain,
! [SV1283: $i,SV933: $i,SV447: $i] :
( ( ( ~ ( class_Lattices_Oupper__semilattice @ SV447 ) )
= $true )
| ( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV933 @ SV1283 @ SV447 )
!= SV1283 )
| ( c_lessequals @ SV933 @ SV1283 @ SV447 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3169]) ).
thf(3561,plain,
! [SV1469: $i,SV1284: $i,SV934: $i,SV448: $i] :
( ( ! [SY3694: $i] :
( ( ( c_Set_Oinsert @ SV448 @ ( c_Set_Oinsert @ SV934 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1284 @ tc_bool ) ) @ SV1284 ) @ SV1284 )
!= ( c_Set_Oinsert @ SV1469 @ ( c_Set_Oinsert @ SY3694 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1284 @ tc_bool ) ) @ SV1284 ) @ SV1284 ) )
| ( SV934 = SV1469 )
| ( SV448 = SV1469 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3170]) ).
thf(3562,plain,
! [SV1285: $i,SV935: $i,SV449: $i] :
( ( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV449 @ tc_bool ) )
= ( c_Set_Oinsert @ SV935 @ SV1285 @ SV449 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3171]) ).
thf(3563,plain,
! [SV937: $i,SV452: $i] :
( ( ( ( c_Message_Omsg_ONonce @ SV452 )
= ( c_Message_Omsg_ONonce @ SV937 ) )
= $false )
| ( ( SV452 = SV937 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3173]) ).
thf(3564,plain,
! [SV1286: $i,SV939: $i,SV455: $i] :
( ( ( c_Message_Omsg_OAgent @ SV455 )
= ( c_Message_Omsg_OCrypt @ SV939 @ SV1286 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3175]) ).
thf(3565,plain,
! [SV1287: $i,SV940: $i,SV456: $i] :
( ( ( c_List_Olist_OCons @ SV456 @ SV940 @ SV1287 )
= SV940 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3176]) ).
thf(3566,plain,
! [SV1470: $i,SV1288: $i,SV942: $i,SV458: $i] :
( ( ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV458 ) @ SV942 ) )
!= ( hAPP @ ( c_Public_OpublicKey @ SV1288 ) @ SV1470 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3178]) ).
thf(3567,plain,
! [SV1471: $i,SV1289: $i,SV943: $i,SV459: $i] :
( ( ( ( c_Event_Oevent_OGets @ SV459 @ SV943 )
!= ( c_Event_Oevent_OGets @ SV1289 @ SV1471 ) )
| ( SV459 = SV1289 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3179]) ).
thf(3568,plain,
! [SV1290: $i,SV944: $i,SV460: $i] :
( ( SV460
= ( c_List_Olist_OCons @ SV944 @ SV460 @ SV1290 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3180]) ).
thf(3569,plain,
! [SV1291: $i,SV945: $i,SV461: $i] :
( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV461 @ SV945 @ ( tc_fun @ SV1291 @ tc_bool ) )
!= SV945 )
= $true )
| ( ( c_lessequals @ SV461 @ SV945 @ ( tc_fun @ SV1291 @ tc_bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3181]) ).
thf(3570,plain,
! [SV1292: $i,SV946: $i,SV462: $i] :
( ( ( ( c_Message_Oanalz @ SV462 )
!= ( c_Message_Oanalz @ SV946 ) )
= $true )
| ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV1292 @ SV462 @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV1292 @ SV946 @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3182]) ).
thf(3571,plain,
! [SV1472: $i,SV1293: $i,SV947: $i,SV463: $i] :
( ( ( ( c_Message_Omsg_OCrypt @ SV463 @ SV947 )
!= ( c_Message_Omsg_OCrypt @ SV1293 @ SV1472 ) )
| ( SV463 = SV1293 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3183]) ).
thf(3572,plain,
! [SV1294: $i,SV949: $i,SV465: $i] :
( ( ( hAPP @ c_Public_OshrK @ SV465 )
= ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV949 ) @ SV1294 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3185]) ).
thf(3573,plain,
! [SV1473: $i,SV1295: $i,SV950: $i,SV466: $i] :
( ( ( ( c_Set_Oinsert @ SV466 @ SV950 @ SV1295 )
!= ( c_Set_Oinsert @ SV466 @ SV1473 @ SV1295 ) )
| ( hBOOL @ ( c_in @ SV466 @ SV1473 @ SV1295 ) )
| ( hBOOL @ ( c_in @ SV466 @ SV950 @ SV1295 ) )
| ( SV950 = SV1473 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3186]) ).
thf(3574,plain,
! [SV1296: $i,SV951: $i,SV467: $i] :
( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV467 @ SV951 @ ( tc_fun @ SV1296 @ tc_bool ) )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1296 @ tc_bool ) ) )
= $true )
| ( ( SV467
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1296 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3187]) ).
thf(3575,plain,
! [SV1297: $i,SV952: $i,SV468: $i] :
( ( ( ( c_Set_Oinsert @ SV468 @ SV952 @ SV1297 )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1297 @ tc_bool ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV468 @ SV952 @ SV1297 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3188]) ).
thf(3576,plain,
! [SV1298: $i,SV953: $i,SV469: $i] :
( ( ( hAPP @ c_Message_Omsg_OKey @ SV469 )
= ( c_Message_Omsg_OCrypt @ SV953 @ SV1298 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3189]) ).
thf(3577,plain,
! [SV1474: $i,SV1299: $i,SV954: $i,SV470: $i] :
( ( ( ( hAPP @ ( c_Public_OpublicKey @ SV470 ) @ SV954 )
!= ( hAPP @ ( c_Public_OpublicKey @ SV1299 ) @ SV1474 ) )
| ( SV954 = SV1474 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3190]) ).
thf(3578,plain,
! [SV955: $i,SV471: $i] :
( ( ( ( hAPP @ c_Public_OshrK @ SV471 )
= ( hAPP @ c_Public_OshrK @ SV955 ) )
= $false )
| ( ( SV471 = SV955 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3191]) ).
thf(3579,plain,
! [SV1475: $i,SV1300: $i,SV956: $i,SV472: $i] :
( ( ( hAPP @ ( c_Public_OpublicKey @ SV472 ) @ SV956 )
!= ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV1300 ) @ SV1475 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3192]) ).
thf(3580,plain,
! [SV1476: $i,SV1301: $i,SV957: $i,SV473: $i] :
( ( ! [SY3695: $i] :
( ( ( c_Set_Oinsert @ SV473 @ ( c_Set_Oinsert @ SV957 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1301 @ tc_bool ) ) @ SV1301 ) @ SV1301 )
!= ( c_Set_Oinsert @ SV1476 @ ( c_Set_Oinsert @ SY3695 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1301 @ tc_bool ) ) @ SV1301 ) @ SV1301 ) )
| ( SV473 = SY3695 )
| ( SV957 = SY3695 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3193]) ).
thf(3581,plain,
! [SV1302: $i,SV958: $i,SV474: $i] :
( ( ( ~ ( class_Lattices_Obounded__lattice @ SV474 ) )
= $true )
| ( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV958 @ SV1302 @ SV474 )
!= ( c_Orderings_Obot__class_Obot @ SV474 ) )
| ( SV1302
= ( c_Orderings_Obot__class_Obot @ SV474 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3194]) ).
thf(3582,plain,
! [SV1477: $i,SV1303: $i,SV959: $i,SV475: $i] :
( ( ! [SY3696: $i,SY3697: $i] :
( ( ( c_Event_Oevent_OSays @ SV475 @ SV959 @ SV1303 )
!= ( c_Event_Oevent_OSays @ SV1477 @ SY3696 @ SY3697 ) )
| ( SV1303 = SY3697 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3195]) ).
thf(3583,plain,
! [SV1478: $i,SV1304: $i,SV960: $i,SV476: $i] :
( ( ( ( hAPP @ ( c_Public_OpublicKey @ SV476 ) @ SV960 )
!= ( hAPP @ ( c_Public_OpublicKey @ SV1304 ) @ SV1478 ) )
| ( SV476 = SV1304 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3196]) ).
thf(3584,plain,
! [SV1479: $i,SV1305: $i,SV961: $i,SV477: $i] :
( ( ! [SY3698: $i] :
( ( ( c_List_Olist_OCons @ SV477 @ SV961 @ SV1305 )
!= ( c_List_Olist_OCons @ SV1479 @ SY3698 @ SV1305 ) )
| ( SV477 = SV1479 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3197]) ).
thf(3585,plain,
! [SV1306: $i,SV962: $i,SV478: $i] :
( ( ( hAPP @ ( c_Public_OpublicKey @ SV478 ) @ SV962 )
= ( hAPP @ c_Public_OshrK @ SV1306 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3198]) ).
thf(3586,plain,
! [SV1480: $i,SV1307: $i,SV963: $i,SV479: $i] :
( ( ( ( c_Message_Oanalz @ SV479 )
!= ( c_Message_Oanalz @ SV963 ) )
| ( ( c_Message_Oanalz @ SV1307 )
!= ( c_Message_Oanalz @ SV1480 ) )
| ( ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1307 @ SV479 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1480 @ SV963 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3199]) ).
thf(3587,plain,
! [SV1481: $i,SV1308: $i,SV964: $i,SV480: $i] :
( ( ( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV480 @ tc_bool ) )
!= ( c_Set_Oimage @ SV964 @ SV1308 @ SV1481 @ SV480 ) )
| ( SV1308
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1481 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3200]) ).
thf(3588,plain,
! [SV1309: $i,SV965: $i,SV481: $i] :
( ( ( c_Message_Omsg_OMPair @ SV481 @ SV965 )
= ( c_Message_Omsg_OAgent @ SV1309 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3201]) ).
thf(3589,plain,
! [SV1482: $i,SV1310: $i,SV966: $i,SV483: $i] :
( ( ! [SY3699: $i] :
( ( ( c_Set_Oinsert @ SV483 @ ( c_Set_Oinsert @ SV966 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1310 @ tc_bool ) ) @ SV1310 ) @ SV1310 )
!= ( c_Set_Oinsert @ SV1482 @ ( c_Set_Oinsert @ SY3699 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1310 @ tc_bool ) ) @ SV1310 ) @ SV1310 ) )
| ( SV483 = SY3699 )
| ( SV483 = SV1482 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3202]) ).
thf(3590,plain,
! [SV1311: $i,SV967: $i,SV484: $i] :
( ( ( ~ ( class_OrderedGroup_Ogroup__add @ SV484 ) )
= $true )
| ( ( ( ( c_HOL_Ouminus__class_Ouminus @ SV967 @ SV484 )
!= ( c_HOL_Ouminus__class_Ouminus @ SV1311 @ SV484 ) )
| ( SV967 = SV1311 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3203]) ).
thf(3591,plain,
! [SV1483: $i,SV1312: $i,SV968: $i,SV485: $i] :
( ( ( c_Event_Oevent_ONotes @ SV485 @ SV968 )
!= ( c_Event_Oevent_OGets @ SV1312 @ SV1483 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3204]) ).
thf(3592,plain,
! [SV1313: $i,SV969: $i,SV486: $i] :
( ( ( c_Set_Oinsert @ SV486 @ SV969 @ SV1313 )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1313 @ tc_bool ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3205]) ).
thf(3593,plain,
! [SV1484: $i,SV1314: $i,SV970: $i,SV487: $i] :
( ( ( c_Message_Omsg_OCrypt @ SV487 @ SV970 )
!= ( c_Message_Omsg_OMPair @ SV1314 @ SV1484 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3206]) ).
thf(3594,plain,
! [SV972: $i,SV489: $i] :
( ( ( ( hAPP @ c_Message_OinvKey @ SV489 )
= ( hAPP @ c_Message_OinvKey @ SV972 ) )
= $false )
| ( ( SV489 = SV972 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3208]) ).
thf(3595,plain,
! [SV1485: $i,SV1315: $i,SV973: $i,SV490: $i] :
( ( ( ( c_Event_Oevent_OGets @ SV490 @ SV973 )
!= ( c_Event_Oevent_OGets @ SV1315 @ SV1485 ) )
| ( SV973 = SV1485 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3209]) ).
thf(3596,plain,
! [SV1486: $i,SV1316: $i,SV974: $i,SV491: $i] :
( ( ( ( c_Event_Oevent_ONotes @ SV491 @ SV974 )
!= ( c_Event_Oevent_ONotes @ SV1316 @ SV1486 ) )
| ( SV491 = SV1316 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3210]) ).
thf(3597,plain,
! [SV1317: $i,SV975: $i,SV492: $i] :
( ( ( ~ ( class_Lattices_Oboolean__algebra @ SV492 ) )
= $true )
| ( ( ( ( c_HOL_Ouminus__class_Ouminus @ SV975 @ SV492 )
!= ( c_HOL_Ouminus__class_Ouminus @ SV1317 @ SV492 ) )
| ( SV975 = SV1317 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3211]) ).
thf(3598,plain,
! [SV1487: $i,SV1318: $i,SV976: $i,SV493: $i] :
( ( ! [SY3700: $i] :
( ( c_Event_Oevent_OSays @ SV493 @ SV976 @ SV1318 )
!= ( c_Event_Oevent_ONotes @ SV1487 @ SY3700 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3212]) ).
thf(3599,plain,
! [SV1488: $i,SV1319: $i,SV977: $i,SV494: $i] :
( ( ( ( c_Message_Omsg_OMPair @ SV494 @ SV977 )
!= ( c_Message_Omsg_OMPair @ SV1319 @ SV1488 ) )
| ( SV494 = SV1319 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3213]) ).
thf(3600,plain,
! [SV1320: $i,SV978: $i,SV495: $i] :
( ( ( c_Message_Omsg_OMPair @ SV495 @ SV978 )
= ( c_Message_Omsg_ONonce @ SV1320 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3214]) ).
thf(3601,plain,
! [SV1321: $i,SV979: $i,SV496: $i] :
( ( ( hAPP @ c_Message_Omsg_OKey @ SV496 )
= ( c_Message_Omsg_OMPair @ SV979 @ SV1321 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3215]) ).
thf(3602,plain,
! [SV1489: $i,SV1322: $i,SV980: $i,SV497: $i] :
( ( ! [SY3701: $i] :
( ( ( c_List_Olist_OCons @ SV497 @ SV980 @ SV1322 )
!= ( c_List_Olist_OCons @ SV1489 @ SY3701 @ SV1322 ) )
| ( SV980 = SY3701 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3216]) ).
thf(3603,plain,
! [SV1490: $i,SV1323: $i,SV981: $i,SV498: $i] :
( ( ( c_Message_Omsg_OMPair @ SV498 @ SV981 )
!= ( c_Message_Omsg_OCrypt @ SV1323 @ SV1490 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3217]) ).
thf(3604,plain,
! [SV1324: $i,SV982: $i,SV499: $i] :
( ( ( c_Message_Omsg_OMPair @ SV499 @ SV982 )
= ( hAPP @ c_Message_Omsg_OKey @ SV1324 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3218]) ).
thf(3605,plain,
! [SV1491: $i,SV1325: $i,SV983: $i,SV500: $i] :
( ( ! [SY3702: $i,SY3703: $i] :
( ( ( c_Event_Oevent_OSays @ SV500 @ SV983 @ SV1325 )
!= ( c_Event_Oevent_OSays @ SV1491 @ SY3702 @ SY3703 ) )
| ( SV500 = SV1491 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3219]) ).
thf(3606,plain,
! [SV1492: $i,SV1326: $i,SV984: $i,SV501: $i] :
( ( ( ( c_Message_Omsg_OCrypt @ SV501 @ SV984 )
!= ( c_Message_Omsg_OCrypt @ SV1326 @ SV1492 ) )
| ( SV984 = SV1492 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3220]) ).
thf(3607,plain,
! [SV985: $i,SV502: $i] :
( ( ( ( hAPP @ c_Message_Omsg_OKey @ SV502 )
= ( hAPP @ c_Message_Omsg_OKey @ SV985 ) )
= $false )
| ( ( SV502 = SV985 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3221]) ).
thf(3608,plain,
! [SV1493: $i,SV1327: $i,SV986: $i,SV504: $i] :
( ( ! [SY3704: $i] :
( ( ( c_Set_Oinsert @ SV504 @ ( c_Set_Oinsert @ SV986 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1327 @ tc_bool ) ) @ SV1327 ) @ SV1327 )
!= ( c_Set_Oinsert @ SV1493 @ ( c_Set_Oinsert @ SY3704 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1327 @ tc_bool ) ) @ SV1327 ) @ SV1327 ) )
| ( SV986 = SV1493 )
| ( SV986 = SY3704 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3222]) ).
thf(3609,plain,
! [SV1494: $i,SV1328: $i,SV987: $i,SV505: $i] :
( ( ! [SY3705: $i] :
( ( c_Event_Oevent_ONotes @ SV505 @ SV987 )
!= ( c_Event_Oevent_OSays @ SV1328 @ SV1494 @ SY3705 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3223]) ).
thf(3610,plain,
! [SV1495: $i,SV1329: $i,SV988: $i,SV506: $i] :
( ( ( ( c_Set_Oimage @ SV506 @ SV988 @ SV1329 @ SV1495 )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1495 @ tc_bool ) ) )
| ( SV988
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1329 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3224]) ).
thf(3611,plain,
! [SV1330: $i,SV989: $i,SV507: $i] :
( ( ( c_Message_Omsg_OCrypt @ SV507 @ SV989 )
= ( c_Message_Omsg_OAgent @ SV1330 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3225]) ).
thf(3612,plain,
! [SV990: $i,SV508: $i] :
( ( ( ( c_Message_Oagent_OFriend @ SV508 )
= ( c_Message_Oagent_OFriend @ SV990 ) )
= $false )
| ( ( SV508 = SV990 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3226]) ).
thf(3613,plain,
! [SV1331: $i,SV991: $i,SV510: $i] :
( ( ( c_Message_Omsg_ONonce @ SV510 )
= ( c_Message_Omsg_OMPair @ SV991 @ SV1331 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3227]) ).
thf(3614,plain,
! [SV1332: $i,SV992: $i,SV511: $i] :
( ( ( hAPP @ c_Public_OshrK @ SV511 )
= ( hAPP @ ( c_Public_OpublicKey @ SV992 ) @ SV1332 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3228]) ).
thf(3615,plain,
! [SV1333: $i,SV993: $i,SV512: $i] :
( ( ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV512 ) @ SV993 ) )
= ( hAPP @ c_Public_OshrK @ SV1333 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3229]) ).
thf(3616,plain,
! [SV1496: $i,SV1334: $i,SV994: $i,SV513: $i] :
( ( ! [SY3706: $i,SY3707: $i] :
( ( ( c_Event_Oevent_OSays @ SV513 @ SV994 @ SV1334 )
!= ( c_Event_Oevent_OSays @ SV1496 @ SY3706 @ SY3707 ) )
| ( SV994 = SY3706 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3230]) ).
thf(3617,plain,
! [SV1335: $i,SV995: $i,SV514: $i] :
( ( ( c_Message_Omsg_ONonce @ SV514 )
= ( c_Message_Omsg_OCrypt @ SV995 @ SV1335 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3231]) ).
thf(3618,plain,
! [SV1336: $i,SV996: $i,SV515: $i] :
( ( ( ( c_Set_Oinsert @ SV515 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV996 @ tc_bool ) ) @ SV996 )
!= ( c_Set_Oinsert @ SV1336 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV996 @ tc_bool ) ) @ SV996 ) )
= $true )
| ( ( SV515 = SV1336 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3232]) ).
thf(3619,plain,
! [SV1337: $i,SV997: $i,SV516: $i] :
( ( ( ~ ( class_Lattices_Obounded__lattice @ SV516 ) )
= $true )
| ( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV997 @ SV1337 @ SV516 )
!= ( c_Orderings_Obot__class_Obot @ SV516 ) )
| ( SV997
= ( c_Orderings_Obot__class_Obot @ SV516 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3233]) ).
thf(3620,plain,
! [SV1497: $i,SV1338: $i,SV998: $i,SV517: $i] :
( ( ( ( c_Message_Omsg_OMPair @ SV517 @ SV998 )
!= ( c_Message_Omsg_OMPair @ SV1338 @ SV1497 ) )
| ( SV998 = SV1497 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3234]) ).
thf(3621,plain,
! [SV1339: $i,SV999: $i,SV518: $i] :
( ( ( c_Message_Omsg_OCrypt @ SV518 @ SV999 )
= ( hAPP @ c_Message_Omsg_OKey @ SV1339 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3235]) ).
thf(3622,plain,
! [SV1498: $i,SV1340: $i,SV1000: $i,SV519: $i] :
( ( ! [SY3708: $i] :
( ( c_Event_Oevent_OGets @ SV519 @ SV1000 )
!= ( c_Event_Oevent_OSays @ SV1340 @ SV1498 @ SY3708 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3236]) ).
thf(3623,plain,
! [SV1499: $i,SV1341: $i,SV1001: $i,SV520: $i] :
( ( ( ( c_Event_Oevent_ONotes @ SV520 @ SV1001 )
!= ( c_Event_Oevent_ONotes @ SV1341 @ SV1499 ) )
| ( SV1001 = SV1499 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3237]) ).
thf(3624,plain,
! [SV521: $i,SV1002: $i,SV2: $i] :
( ( ( hBOOL @ ( c_in @ SV2 @ ( c_Message_Oparts @ ( c_Event_OinitState @ SV1002 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV2 @ ( c_Event_Oused @ SV521 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3239]) ).
thf(3625,plain,
! [SV1005: $i,SV525: $i,SV7: $i] :
( ( ( hBOOL @ ( c_in @ SV7 @ SV525 @ SV1005 ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV7 @ ( c_HOL_Ouminus__class_Ouminus @ SV525 @ ( tc_fun @ SV1005 @ tc_bool ) ) @ SV1005 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3241]) ).
thf(3626,plain,
! [SV1007: $i,SV527: $i,SV9: $i] :
( ( ( class_OrderedGroup_Opordered__ab__group__add @ SV9 )
= $false )
| ( ( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV527 @ SV9 ) @ SV1007 @ SV9 )
| ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV1007 @ SV9 ) @ SV527 @ SV9 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3243]) ).
thf(3627,plain,
! [SV1008: $i,SV528: $i,SV10: $i] :
( ( ( class_OrderedGroup_Opordered__ab__group__add @ SV10 )
= $false )
| ( ( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV528 @ SV10 ) @ SV1008 @ SV10 )
| ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV1008 @ SV10 ) @ SV528 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3244]) ).
thf(3628,plain,
! [SV1009: $i,SV529: $i,SV11: $i] :
( ( ( class_OrderedGroup_Opordered__ab__group__add @ SV11 )
= $false )
| ( ( ( c_lessequals @ SV529 @ ( c_HOL_Ouminus__class_Ouminus @ SV1009 @ SV11 ) @ SV11 )
| ~ ( c_lessequals @ SV1009 @ ( c_HOL_Ouminus__class_Ouminus @ SV529 @ SV11 ) @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3245]) ).
thf(3629,plain,
! [SV1010: $i,SV530: $i,SV12: $i] :
( ( ( class_OrderedGroup_Opordered__ab__group__add @ SV12 )
= $false )
| ( ( ( c_lessequals @ SV530 @ ( c_HOL_Ouminus__class_Ouminus @ SV1010 @ SV12 ) @ SV12 )
| ~ ( c_lessequals @ SV1010 @ ( c_HOL_Ouminus__class_Ouminus @ SV530 @ SV12 ) @ SV12 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3246]) ).
thf(3630,plain,
! [SV542: $i,SV25: $i] :
( ( ( hBOOL @ ( hAPP @ SV25 @ c_Public_Okeymode_OEncryption ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV25 @ c_Public_Okeymode_OSignature ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV25 @ SV542 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3255]) ).
thf(3631,plain,
! [SV1011: $i,SV543: $i,SV26: $i] :
( ( ( class_OrderedGroup_Opordered__ab__group__add @ SV26 )
= $false )
| ( ( ( c_lessequals @ SV543 @ SV1011 @ SV26 )
| ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV1011 @ SV26 ) @ ( c_HOL_Ouminus__class_Ouminus @ SV543 @ SV26 ) @ SV26 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3256]) ).
thf(3632,plain,
! [SV1012: $i,SV544: $i,SV27: $i] :
( ( ( class_OrderedGroup_Opordered__ab__group__add @ SV27 )
= $false )
| ( ( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV544 @ SV27 ) @ ( c_HOL_Ouminus__class_Ouminus @ SV1012 @ SV27 ) @ SV27 )
| ~ ( c_lessequals @ SV1012 @ SV544 @ SV27 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3257]) ).
thf(3633,plain,
! [SV545: $i,SV28: $i,SV1013: $i] :
( ( ( c_lessequals @ SV1013 @ SV28 @ ( tc_fun @ SV545 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV28 @ ( tc_fun @ SV545 @ tc_bool ) ) @ ( c_HOL_Ouminus__class_Ouminus @ SV1013 @ ( tc_fun @ SV545 @ tc_bool ) ) @ ( tc_fun @ SV545 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3258]) ).
thf(3634,plain,
! [SV29: $i,SV1014: $i,SV546: $i] :
( ( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV546 @ ( tc_fun @ SV1014 @ tc_bool ) ) @ ( c_HOL_Ouminus__class_Ouminus @ SV29 @ ( tc_fun @ SV1014 @ tc_bool ) ) @ ( tc_fun @ SV1014 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV29 @ SV546 @ ( tc_fun @ SV1014 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3259]) ).
thf(3635,plain,
! [SV547: $i,SV30: $i,SV1015: $i] :
( ( ( c_lessequals @ SV1015 @ SV30 @ ( tc_fun @ SV547 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV30 @ ( tc_fun @ SV547 @ tc_bool ) ) @ ( c_HOL_Ouminus__class_Ouminus @ SV1015 @ ( tc_fun @ SV547 @ tc_bool ) ) @ ( tc_fun @ SV547 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3260]) ).
thf(3636,plain,
! [SV1016: $i,SV40: $i,SV552: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SV552 @ SV40 ) @ ( c_List_Oset @ SV1016 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OGets @ SV552 @ SV40 ) @ ( c_List_Oset @ SV1016 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV552 @ ( c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1 @ SV552 @ SV40 @ SV1016 ) @ SV40 ) @ ( c_List_Oset @ SV1016 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV552 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( c_in @ SV40 @ ( c_Event_Oknows @ SV552 @ SV1016 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV40 @ ( c_Event_OinitState @ SV552 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3263]) ).
thf(3637,plain,
! [SV1342: $i,SV1017: $i,SV553: $i,SV41: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV41 ) @ SV553 ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV1017 ) @ SV1342 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3264]) ).
thf(3638,plain,
! [SV1343: $i,SV1018: $i,SV554: $i,SV42: $i] :
( ( ( SV42 = SV554 )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV42 ) @ SV1018 ) ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV554 ) @ SV1343 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3265]) ).
thf(3639,plain,
! [SV1019: $i,SV555: $i,SV43: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV43 @ SV555 @ tc_nat ) ) )
= $true )
| ( ( ~ ( c_lessequals @ SV555 @ ( c_HOL_Ouminus__class_Ouminus @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ ( tc_fun @ tc_nat @ tc_bool ) ) @ ( tc_fun @ tc_nat @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV1019 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV43 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV555 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1019 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3266]) ).
thf(3640,plain,
! [SV556: $i,SV1020: $i,SV44: $i] :
( ( ( hBOOL @ ( c_in @ SV44 @ SV1020 @ tc_nat ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV44 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV1020 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV556 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SV1020 @ ( c_HOL_Ouminus__class_Ouminus @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ ( tc_fun @ tc_nat @ tc_bool ) ) @ ( tc_fun @ tc_nat @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV556 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV44 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV556 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3267]) ).
thf(3641,plain,
! [SV557: $i,SV1021: $i,SV45: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV45 @ c_Message_OsymKeys @ tc_nat ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV45 @ SV1021 ) @ SV557 @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV45 @ ( c_Message_OkeysFor @ SV557 ) @ tc_nat ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3268]) ).
thf(3642,plain,
! [SV559: $i,SV1023: $i,SV47: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV47 @ SV1023 ) @ SV559 @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ SV47 ) @ ( c_Message_OkeysFor @ SV559 ) @ tc_nat ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3269]) ).
thf(3643,plain,
! [SV561: $i,SV1024: $i,SV49: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV49 ) @ ( c_Message_Oanalz @ SV1024 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV49 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV561 @ tc_nat @ tc_Message_Omsg ) @ SV1024 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV49 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV561 @ tc_nat @ tc_Message_Omsg ) @ SV1024 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3270]) ).
thf(3644,plain,
! [SV562: $i,SV1025: $i,SV50: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV50 ) @ ( c_Message_Oanalz @ SV1025 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV50 ) @ ( c_Message_Oanalz @ SV1025 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV50 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV562 @ tc_nat @ tc_Message_Omsg ) @ SV1025 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3271]) ).
thf(3645,plain,
! [SV563: $i,SV1026: $i,SV51: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV51 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1026 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( c_lessequals @ SV563 @ ( c_HOL_Ouminus__class_Ouminus @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ ( tc_fun @ tc_nat @ tc_bool ) ) @ ( tc_fun @ tc_nat @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV1026 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV51 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV563 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1026 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3272]) ).
thf(3646,plain,
! [SV1028: $i,SV569: $i,SV60: $i] :
( ( ( hBOOL @ ( c_in @ SV60 @ ( c_Set_Oinsert @ SV569 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1028 @ tc_bool ) ) @ SV1028 ) @ SV1028 ) )
= $false )
| ( ( SV60 = SV569 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3273]) ).
thf(3647,plain,
! [SV570: $i,SV1029: $i,SV62: $i] :
( ( ( SV62
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1029 @ tc_bool ) ) )
= $true )
| ( ( ~ ( c_lessequals @ SV62 @ ( c_Set_Oinsert @ SV570 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1029 @ tc_bool ) ) @ SV1029 ) @ ( tc_fun @ SV1029 @ tc_bool ) ) )
= $true )
| ( ( SV62
= ( c_Set_Oinsert @ SV570 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1029 @ tc_bool ) ) @ SV1029 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3274]) ).
thf(3648,plain,
! [SV80: $i,SV1034: $i,SV586: $i] :
( ( ( hBOOL @ ( c_in @ SV586 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1034 @ tc_bool ) ) @ SV1034 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV80 @ SV586 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3281]) ).
thf(3649,plain,
! [SV1035: $i,SV589: $i,SV83: $i] :
( ( ( hBOOL @ ( hAPP @ SV83 @ SV589 ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV589 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1035 @ tc_bool ) ) @ SV1035 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3282]) ).
thf(3650,plain,
! [SV596: $i,SV1038: $i,SV91: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV91 ) @ ( c_Message_Oanalz @ SV1038 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV91 @ SV596 @ tc_nat ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV91 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV596 @ tc_nat @ tc_Message_Omsg ) @ SV1038 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3286]) ).
thf(3651,plain,
! [SV1039: $i,SV597: $i,SV92: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV92 @ SV597 @ tc_nat ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV92 ) @ ( c_Message_Oanalz @ SV1039 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV92 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV597 @ tc_nat @ tc_Message_Omsg ) @ SV1039 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3287]) ).
thf(3652,plain,
! [SV1040: $i,SV598: $i,SV93: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV93 @ SV598 @ tc_nat ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV93 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV598 @ tc_nat @ tc_Message_Omsg ) @ SV1040 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV93 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV598 @ tc_nat @ tc_Message_Omsg ) @ SV1040 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3288]) ).
thf(3653,plain,
! [SV1041: $i,SV599: $i,SV94: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV94 @ SV599 @ tc_nat ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV94 @ SV599 @ tc_nat ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV94 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV599 @ tc_nat @ tc_Message_Omsg ) @ SV1041 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3289]) ).
thf(3654,plain,
! [SV1344: $i,SV1043: $i,SV603: $i,SV98: $i] :
( ( ( hBOOL @ ( c_in @ SV98 @ SV603 @ tc_Message_Oagent ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV1043 ) @ SV98 ) ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV1344 ) @ SV603 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3292]) ).
thf(3655,plain,
! [SV99: $i,SV1044: $i,SV604: $i] :
( ( ( hBOOL @ ( c_in @ SV604 @ SV1044 @ tc_Message_Oagent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV99 ) @ SV604 ) ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV99 ) @ SV1044 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3293]) ).
thf(3656,plain,
! [SV100: $i,SV605: $i,SV1045: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV1045 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV605 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV100 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV1045 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV100 @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV605 ) ) @ ( c_Message_Oparts @ SV605 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3294]) ).
thf(3657,plain,
! [SV1346: $i,SV1048: $i,SV609: $i,SV104: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV104 ) ) @ ( c_Message_Oparts @ SV609 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ SV104 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1048 @ SV609 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV1346 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV609 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV104 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV1346 @ SV1048 @ tc_Message_Omsg ) ) ) @ tc_nat ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3297]) ).
thf(3658,plain,
! [SV105: $i,SV610: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV610 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV105 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV105 ) @ ( c_Event_Oused @ SV610 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV105 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV610 ) ) ) @ tc_nat ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3298]) ).
thf(3659,plain,
! [SV1500: $i,SV1347: $i,SV1049: $i,SV611: $i,SV106: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ SV106 @ SV611 @ SV1049 @ SV1347 ) @ ( c_Set_Oimage @ SV106 @ SV1500 @ SV1049 @ SV1347 ) @ ( tc_fun @ SV1347 @ tc_bool ) )
= ( c_Set_Oimage @ SV106 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV611 @ SV1500 @ ( tc_fun @ SV1049 @ tc_bool ) ) @ SV1049 @ SV1347 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3299]) ).
thf(3660,plain,
! [SV1501: $i,SV1348: $i,SV1050: $i,SV612: $i,SV107: $i] :
( ( ( c_Set_Oimage @ SV107 @ ( c_Set_Oinsert @ SV612 @ SV1050 @ SV1348 ) @ SV1348 @ SV1501 )
= ( c_Set_Oinsert @ ( hAPP @ SV107 @ SV612 ) @ ( c_Set_Oimage @ SV107 @ SV1050 @ SV1348 @ SV1501 ) @ SV1501 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3300]) ).
thf(3661,plain,
! [SV1502: $i,SV1349: $i,SV1051: $i,SV613: $i,SV108: $i] :
( ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV108 @ SV613 @ ( tc_fun @ SV1051 @ tc_bool ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1349 @ SV1502 @ ( tc_fun @ SV1051 @ tc_bool ) ) @ ( tc_fun @ SV1051 @ tc_bool ) )
| ~ ( c_lessequals @ SV613 @ SV1502 @ ( tc_fun @ SV1051 @ tc_bool ) )
| ~ ( c_lessequals @ SV108 @ SV1349 @ ( tc_fun @ SV1051 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3301]) ).
thf(3662,plain,
! [SV1350: $i,SV1052: $i,SV617: $i,SV112: $i] :
( ( ( ~ ( class_Lattices_Oupper__semilattice @ SV112 ) )
= $true )
| ( ( ( c_lessequals @ SV617 @ SV1052 @ SV112 )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1350 @ SV617 @ SV112 ) @ SV1052 @ SV112 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3303]) ).
thf(3663,plain,
! [SV1351: $i,SV1053: $i,SV618: $i,SV113: $i] :
( ( ( ~ ( class_Lattices_Oupper__semilattice @ SV113 ) )
= $true )
| ( ( ( c_lessequals @ SV618 @ SV1053 @ SV113 )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV618 @ SV1351 @ SV113 ) @ SV1053 @ SV113 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3304]) ).
thf(3664,plain,
! [SV1352: $i,SV1054: $i,SV619: $i,SV114: $i] :
( ( ( ~ ( class_Lattices_Oupper__semilattice @ SV114 ) )
= $true )
| ( ( ( c_lessequals @ SV619 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1054 @ SV1352 @ SV114 ) @ SV114 )
| ~ ( c_lessequals @ SV619 @ SV1352 @ SV114 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3305]) ).
thf(3665,plain,
! [SV1353: $i,SV1055: $i,SV620: $i,SV115: $i] :
( ( ( ~ ( class_Lattices_Oupper__semilattice @ SV115 ) )
= $true )
| ( ( ( c_lessequals @ SV620 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1055 @ SV1353 @ SV115 ) @ SV115 )
| ~ ( c_lessequals @ SV620 @ SV1055 @ SV115 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3306]) ).
thf(3666,plain,
! [SV1354: $i,SV1056: $i,SV621: $i,SV116: $i] :
( ( ( ~ ( class_Lattices_Oupper__semilattice @ SV116 ) )
= $true )
| ( ( ( c_lessequals @ SV621 @ SV1056 @ SV116 )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1354 @ SV621 @ SV116 ) @ SV1056 @ SV116 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3307]) ).
thf(3667,plain,
! [SV1355: $i,SV1057: $i,SV622: $i,SV117: $i] :
( ( ( ~ ( class_Lattices_Oupper__semilattice @ SV117 ) )
= $true )
| ( ( ( c_lessequals @ SV622 @ SV1057 @ SV117 )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV622 @ SV1355 @ SV117 ) @ SV1057 @ SV117 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3308]) ).
thf(3668,plain,
! [SV1356: $i,SV1058: $i,SV623: $i,SV118: $i] :
( ( ( c_lessequals @ SV118 @ SV623 @ ( tc_fun @ SV1058 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV118 @ SV1356 @ ( tc_fun @ SV1058 @ tc_bool ) ) @ SV623 @ ( tc_fun @ SV1058 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3309]) ).
thf(3669,plain,
! [SV1357: $i,SV1059: $i,SV624: $i,SV119: $i] :
( ( ( c_lessequals @ SV119 @ SV624 @ ( tc_fun @ SV1059 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1357 @ SV119 @ ( tc_fun @ SV1059 @ tc_bool ) ) @ SV624 @ ( tc_fun @ SV1059 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3310]) ).
thf(3670,plain,
! [SV1358: $i,SV1060: $i,SV625: $i,SV120: $i] :
( ( ( ~ ( class_Orderings_Oorder @ SV120 ) )
= $true )
| ( ( ( c_lessequals @ SV625 @ SV1060 @ SV120 )
| ~ ( c_lessequals @ SV625 @ SV1358 @ SV120 )
| ~ ( c_lessequals @ SV1358 @ SV1060 @ SV120 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3311]) ).
thf(3671,plain,
! [SV1359: $i,SV1061: $i,SV626: $i,SV121: $i] :
( ( ( ~ ( class_Orderings_Opreorder @ SV121 ) )
= $true )
| ( ( ( c_lessequals @ SV626 @ SV1061 @ SV121 )
| ~ ( c_lessequals @ SV1359 @ SV1061 @ SV121 )
| ~ ( c_lessequals @ SV626 @ SV1359 @ SV121 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3312]) ).
thf(3672,plain,
! [SV1360: $i,SV1062: $i,SV629: $i,SV124: $i] :
( ( ( c_lessequals @ SV124 @ SV629 @ ( tc_fun @ SV1062 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1360 @ SV629 @ ( tc_fun @ SV1062 @ tc_bool ) )
| ~ ( c_lessequals @ SV124 @ SV1360 @ ( tc_fun @ SV1062 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3313]) ).
thf(3673,plain,
! [SV1361: $i,SV1063: $i,SV630: $i,SV125: $i] :
( ( ( hBOOL @ ( hAPP @ SV125 @ SV630 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV1063 @ SV630 ) )
| ~ ( c_lessequals @ SV1063 @ SV125 @ ( tc_fun @ SV1361 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3314]) ).
thf(3674,plain,
! [SV1362: $i,SV1064: $i,SV633: $i,SV128: $i] :
( ( ( hBOOL @ ( hAPP @ SV128 @ SV633 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1064 @ SV128 @ ( tc_fun @ SV1362 @ tc_bool ) )
| ~ ( hBOOL @ ( hAPP @ SV1064 @ SV633 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3317]) ).
thf(3675,plain,
! [SV1503: $i,SV1363: $i,SV1065: $i,SV634: $i,SV129: $i] :
( ( ( c_lessequals @ ( c_Set_Oimage @ SV129 @ SV634 @ SV1065 @ SV1363 ) @ ( c_Set_Oimage @ SV129 @ SV1503 @ SV1065 @ SV1363 ) @ ( tc_fun @ SV1363 @ tc_bool ) )
| ~ ( c_lessequals @ SV634 @ SV1503 @ ( tc_fun @ SV1065 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3318]) ).
thf(3676,plain,
! [SV1504: $i,SV1364: $i,SV1066: $i,SV635: $i,SV130: $i] :
( ( ~ ( c_lessequals @ SV130 @ SV635 @ ( tc_fun @ SV1066 @ tc_bool ) )
| ( c_lessequals @ ( c_Set_Oimage @ SV1364 @ SV130 @ SV1066 @ SV1504 ) @ ( c_Set_Oimage @ SV1364 @ SV635 @ SV1066 @ SV1504 ) @ ( tc_fun @ SV1504 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3319]) ).
thf(3677,plain,
! [SV1365: $i,SV1067: $i,SV636: $i,SV131: $i] :
( ( ( c_lessequals @ ( c_Set_Oinsert @ SV131 @ SV636 @ SV1067 ) @ ( c_Set_Oinsert @ SV131 @ SV1365 @ SV1067 ) @ ( tc_fun @ SV1067 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV636 @ SV1365 @ ( tc_fun @ SV1067 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3320]) ).
thf(3678,plain,
! [SV1505: $i,SV1366: $i,SV1068: $i,SV637: $i,SV132: $i] :
( ( ( c_Set_Oimage @ SV132 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV637 @ SV1068 @ ( tc_fun @ SV1366 @ tc_bool ) ) @ SV1366 @ SV1505 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ SV132 @ SV637 @ SV1366 @ SV1505 ) @ ( c_Set_Oimage @ SV132 @ SV1068 @ SV1366 @ SV1505 ) @ ( tc_fun @ SV1505 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3321]) ).
thf(3679,plain,
! [SV1367: $i,SV1069: $i,SV638: $i,SV133: $i] :
( ( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV133 @ SV638 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1069 @ SV1367 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ ( c_Message_Oanalz @ SV638 ) @ ( c_Message_Oanalz @ SV1367 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oanalz @ SV133 ) @ ( c_Message_Oanalz @ SV1069 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3322]) ).
thf(3680,plain,
! [SV1070: $i,SV639: $i,SV135: $i] :
( ( ( class_Orderings_Olinorder @ SV135 )
= $false )
| ( ( ( c_lessequals @ SV639 @ SV1070 @ SV135 )
| ( c_lessequals @ SV1070 @ SV639 @ SV135 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3323]) ).
thf(3681,plain,
! [SV640: $i,SV1071: $i,SV136: $i] :
( ( ( hBOOL @ ( c_in @ SV136 @ SV1071 @ tc_Message_Omsg ) )
= $false )
| ( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV136 @ SV640 @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ SV1071 ) @ ( c_Message_Oparts @ SV640 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3324]) ).
thf(3682,plain,
! [SV1368: $i,SV1073: $i,SV642: $i,SV139: $i] :
( ( ( c_lessequals @ SV139 @ SV642 @ ( tc_fun @ SV1073 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV139 @ ( c_Set_Oinsert @ SV1368 @ SV642 @ SV1073 ) @ ( tc_fun @ SV1073 @ tc_bool ) )
| ( hBOOL @ ( c_in @ SV1368 @ SV139 @ SV1073 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3326]) ).
thf(3683,plain,
! [SV1369: $i,SV1074: $i,SV643: $i,SV140: $i] :
( ( ( c_lessequals @ SV140 @ ( c_Set_Oinsert @ SV643 @ SV1074 @ SV1369 ) @ ( tc_fun @ SV1369 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV140 @ SV1074 @ ( tc_fun @ SV1369 @ tc_bool ) )
| ( hBOOL @ ( c_in @ SV643 @ SV140 @ SV1369 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3327]) ).
thf(3684,plain,
! [SV1370: $i,SV1075: $i,SV644: $i,SV141: $i] :
( ( ( c_lessequals @ SV141 @ SV644 @ ( tc_fun @ SV1075 @ tc_bool ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ SV1370 @ SV141 @ SV1075 ) )
| ~ ( c_lessequals @ SV141 @ ( c_Set_Oinsert @ SV1370 @ SV644 @ SV1075 ) @ ( tc_fun @ SV1075 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3328]) ).
thf(3685,plain,
! [SV1371: $i,SV1076: $i,SV645: $i,SV142: $i] :
( ( ( c_lessequals @ SV142 @ ( c_Set_Oinsert @ SV645 @ SV1076 @ SV1371 ) @ ( tc_fun @ SV1371 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV142 @ SV1076 @ ( tc_fun @ SV1371 @ tc_bool ) )
| ( hBOOL @ ( c_in @ SV645 @ SV142 @ SV1371 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3329]) ).
thf(3686,plain,
! [SV1506: $i,SV1372: $i,SV1077: $i,SV646: $i,SV143: $i] :
( ( ( ( c_Set_Oinsert @ ( hAPP @ SV143 @ SV646 ) @ ( c_Set_Oimage @ SV143 @ SV1077 @ SV1372 @ SV1506 ) @ SV1506 )
= ( c_Set_Oimage @ SV143 @ SV1077 @ SV1372 @ SV1506 ) )
| ~ ( hBOOL @ ( c_in @ SV646 @ SV1077 @ SV1372 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3330]) ).
thf(3687,plain,
! [SV1373: $i,SV1078: $i,SV647: $i,SV144: $i] :
( ( ( hBOOL @ ( c_in @ SV144 @ SV647 @ SV1078 ) )
= $true )
| ( ( ~ ( c_lessequals @ ( c_Set_Oinsert @ SV144 @ SV1373 @ SV1078 ) @ SV647 @ ( tc_fun @ SV1078 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3331]) ).
thf(3688,plain,
! [SV1374: $i,SV1079: $i,SV648: $i,SV145: $i] :
( ( ( c_lessequals @ ( c_Set_Oinsert @ SV145 @ SV648 @ SV1079 ) @ SV1374 @ ( tc_fun @ SV1079 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV648 @ SV1374 @ ( tc_fun @ SV1079 @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV145 @ SV1374 @ SV1079 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3332]) ).
thf(3689,plain,
! [SV650: $i,SV1081: $i,SV147: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV147 @ SV1081 ) @ ( c_Event_Oused @ SV650 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV147 @ ( c_Event_Oused @ SV650 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3333]) ).
thf(3690,plain,
! [SV651: $i,SV148: $i,SV1082: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV1082 @ SV148 ) @ ( c_Event_Oused @ SV651 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV148 @ ( c_Event_Oused @ SV651 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3334]) ).
thf(3691,plain,
! [SV652: $i,SV1083: $i,SV149: $i] :
( ( ( hBOOL @ ( c_in @ SV149 @ ( c_Message_Oparts @ SV1083 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV149 @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1083 @ SV652 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV149 @ ( c_Message_Oparts @ SV652 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3335]) ).
thf(3692,plain,
! [SV150: $i,SV653: $i,SV1084: $i] :
( ( ( ~ ( c_lessequals @ SV1084 @ ( c_Message_Oparts @ SV653 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV150 @ ( c_Message_Oparts @ SV1084 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV150 @ ( c_Message_Oparts @ SV653 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3336]) ).
thf(3693,plain,
! [SV654: $i,SV1085: $i,SV151: $i] :
( ( ( hBOOL @ ( c_in @ SV151 @ ( c_Message_Oanalz @ SV1085 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV151 @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV654 @ SV1085 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3337]) ).
thf(3694,plain,
! [SV152: $i,SV655: $i,SV1086: $i] :
( ( ( ~ ( c_lessequals @ SV1086 @ ( c_Message_Oanalz @ SV655 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV152 @ ( c_Message_Oanalz @ SV1086 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV152 @ ( c_Message_Oanalz @ SV655 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3338]) ).
thf(3695,plain,
! [SV153: $i,SV656: $i,SV1087: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1087 ) @ ( c_Message_Oanalz @ SV656 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1087 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1087 @ SV153 ) @ ( c_Message_Oanalz @ SV656 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV153 @ ( c_Message_Oanalz @ SV656 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3339]) ).
thf(3696,plain,
! [SV155: $i,SV657: $i,SV1088: $i] :
( ( ( ~ ( c_lessequals @ SV1088 @ ( c_Message_Osynth @ SV657 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV155 @ ( c_Message_Osynth @ SV1088 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV155 @ ( c_Message_Osynth @ SV657 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3340]) ).
thf(3697,plain,
! [SV659: $i,SV1089: $i,SV157: $i] :
( ( ( hBOOL @ ( c_in @ SV157 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1089 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV157 @ SV659 @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1089 ) ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1089 @ SV659 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3341]) ).
thf(3698,plain,
! [SV1375: $i,SV1092: $i,SV667: $i,SV167: $i] :
( ( ( hBOOL @ ( c_in @ SV167 @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV667 @ SV1092 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1375 @ ( c_Message_Oparts @ SV1092 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV167 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV1375 @ SV667 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3344]) ).
thf(3699,plain,
! [SV168: $i,SV668: $i,SV1093: $i] :
( ( ( ~ ( c_lessequals @ SV1093 @ SV668 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV168 @ ( c_Message_Oanalz @ SV1093 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV168 @ SV668 @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ SV668 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3345]) ).
thf(3700,plain,
! [SV173: $i,SV673: $i] :
( ( ( hBOOL @ ( c_in @ SV673 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV173 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV173 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV673 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV173 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3346]) ).
thf(3701,plain,
! [SV674: $i,SV1096: $i,SV174: $i] :
( ( ( SV174 = SV1096 )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV174 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV1096 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV674 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV1096 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV674 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV174 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV674 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3347]) ).
thf(3702,plain,
! [SV675: $i,SV1097: $i,SV175: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV175 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1097 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ SV675 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV1097 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV175 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV675 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1097 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3348]) ).
thf(3703,plain,
! [SV1507: $i,SV1376: $i,SV1098: $i,SV676: $i,SV176: $i] :
( ( c_lessequals @ ( c_Event_Oknows @ SV176 @ SV676 ) @ ( c_Event_Oknows @ SV176 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV1098 @ SV1376 @ SV1507 ) @ SV676 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3349]) ).
thf(3704,plain,
! [SV1508: $i,SV1379: $i,SV1101: $i,SV679: $i,SV179: $i] :
( ( ! [SY3709: $i,SY3710: $i] :
( ~ ( hBOOL @ ( c_in @ SV179 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV679 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1101 @ ( c_Message_Omsg_OCrypt @ SV1379 @ ( c_Message_Omsg_OMPair @ SV1508 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3709 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV179 ) @ SY3710 ) ) ) ) ) @ ( c_List_Oset @ SV679 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3352]) ).
thf(3705,plain,
! [SV1380: $i,SV1103: $i,SV682: $i,SV182: $i] :
( ( ( hBOOL @ ( c_in @ SV182 @ ( c_Event_Oused @ SV682 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1103 @ SV1380 @ SV182 ) @ ( c_List_Oset @ SV682 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3354]) ).
thf(3706,plain,
! [SV1509: $i,SV1381: $i,SV1104: $i,SV683: $i,SV183: $i] :
( ( ! [SY3711: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV183 @ SV683 @ ( c_Message_Omsg_OCrypt @ SV1104 @ ( c_Message_Omsg_ONonce @ SV1381 ) ) ) @ SV1509 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3711 @ SV183 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV183 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1104 ) @ ( c_Message_Omsg_OAgent @ SV683 ) ) ) ) @ ( c_List_Oset @ SV1509 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1104 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1381 ) @ ( c_Event_Oused @ SV1509 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1509 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3355]) ).
thf(3707,plain,
! [SV685: $i,SV185: $i,SV1106: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SV1106 @ SV185 ) @ ( c_List_Oset @ SV685 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV185 @ ( c_Event_Oused @ SV685 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3357]) ).
thf(3708,plain,
! [SV1510: $i,SV1383: $i,SV1109: $i,SV688: $i,SV188: $i] :
( ( ! [SY3712: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV188 @ SV688 @ ( c_Message_Omsg_OCrypt @ SV1109 @ ( c_Message_Omsg_ONonce @ SV1383 ) ) ) @ SV1510 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3712 @ SV188 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV188 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1109 ) @ ( c_Message_Omsg_OAgent @ SV688 ) ) ) ) @ ( c_List_Oset @ SV1510 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1109 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1383 ) @ ( c_Event_Oused @ SV1510 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1510 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3358]) ).
thf(3709,plain,
! [SV1511: $i,SV1384: $i,SV1110: $i,SV689: $i,SV189: $i] :
( ( ! [SY3713: $i] :
( ~ ( hBOOL @ ( c_in @ SV189 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV689 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SV1110 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1110 ) @ ( c_Message_Omsg_OMPair @ SV1384 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1511 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV189 ) @ SY3713 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV689 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3359]) ).
thf(3710,plain,
! [SV1111: $i,SV190: $i,SV690: $i] :
( ( ( c_lessequals @ SV690 @ SV190 @ ( tc_fun @ SV1111 @ tc_bool ) )
= $false )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV190 @ SV690 @ ( tc_fun @ SV1111 @ tc_bool ) )
= SV190 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3360]) ).
thf(3711,plain,
! [SV1112: $i,SV691: $i,SV191: $i] :
( ( ( c_lessequals @ SV191 @ SV691 @ ( tc_fun @ SV1112 @ tc_bool ) )
= $false )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV191 @ SV691 @ ( tc_fun @ SV1112 @ tc_bool ) )
= SV691 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3361]) ).
thf(3712,plain,
! [SV1113: $i,SV692: $i,SV192: $i] :
( ( ( class_Lattices_Oupper__semilattice @ SV192 )
= $false )
| ( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV692 @ SV1113 @ SV192 )
= SV1113 )
| ~ ( c_lessequals @ SV692 @ SV1113 @ SV192 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3362]) ).
thf(3713,plain,
! [SV1114: $i,SV693: $i,SV193: $i] :
( ( ( class_Lattices_Oupper__semilattice @ SV193 )
= $false )
| ( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV693 @ SV1114 @ SV193 )
= SV693 )
| ~ ( c_lessequals @ SV1114 @ SV693 @ SV193 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3363]) ).
thf(3714,plain,
! [SV1115: $i,SV694: $i,SV194: $i] :
( ( ( class_Orderings_Oorder @ SV194 )
= $false )
| ( ( ( SV694 = SV1115 )
| ~ ( c_lessequals @ SV694 @ SV1115 @ SV194 )
| ~ ( c_lessequals @ SV1115 @ SV694 @ SV194 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3364]) ).
thf(3715,plain,
! [SV1116: $i,SV695: $i,SV195: $i] :
( ( ( class_Orderings_Oorder @ SV195 )
= $false )
| ( ( ( SV695 = SV1116 )
| ~ ( c_lessequals @ SV1116 @ SV695 @ SV195 )
| ~ ( c_lessequals @ SV695 @ SV1116 @ SV195 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3365]) ).
thf(3716,plain,
! [SV1117: $i,SV696: $i,SV196: $i] :
( ( ( class_Orderings_Oorder @ SV196 )
= $false )
| ( ( ( SV696 = SV1117 )
| ~ ( c_lessequals @ SV1117 @ SV696 @ SV196 )
| ~ ( c_lessequals @ SV696 @ SV1117 @ SV196 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3366]) ).
thf(3717,plain,
! [SV1118: $i,SV197: $i,SV697: $i] :
( ( ( ~ ( c_lessequals @ SV697 @ SV197 @ ( tc_fun @ SV1118 @ tc_bool ) ) )
= $true )
| ( ( ~ ( c_lessequals @ SV197 @ SV697 @ ( tc_fun @ SV1118 @ tc_bool ) ) )
= $true )
| ( ( SV197 = SV697 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3367]) ).
thf(3718,plain,
! [SV1119: $i,SV198: $i,SV698: $i] :
( ( ( ~ ( c_lessequals @ SV698 @ SV198 @ ( tc_fun @ SV1119 @ tc_bool ) ) )
= $true )
| ( ( ~ ( c_lessequals @ SV198 @ SV698 @ ( tc_fun @ SV1119 @ tc_bool ) ) )
= $true )
| ( ( SV198 = SV698 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3368]) ).
thf(3719,plain,
! [SV1385: $i,SV1120: $i,SV702: $i,SV205: $i] :
( ( ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV205 @ SV702 @ ( tc_fun @ SV1120 @ tc_bool ) ) @ SV1385 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV205 @ SV1385 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3369]) ).
thf(3720,plain,
! [SV1386: $i,SV1121: $i,SV703: $i,SV206: $i] :
( ( ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV206 @ SV703 @ ( tc_fun @ SV1121 @ tc_bool ) ) @ SV1386 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV703 @ SV1386 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3370]) ).
thf(3721,plain,
! [SV1387: $i,SV1122: $i,SV704: $i,SV207: $i] :
( ( ( hBOOL @ ( hAPP @ SV207 @ SV704 ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV1122 @ SV704 ) )
| ~ ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1122 @ SV207 @ ( tc_fun @ SV1387 @ tc_bool ) ) @ SV704 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3371]) ).
thf(3722,plain,
! [SV1388: $i,SV1124: $i,SV711: $i,SV216: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV216 ) @ SV711 ) ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV1124 ) @ SV1388 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3374]) ).
thf(3723,plain,
! [SV219: $i,SV1127: $i,SV714: $i] :
( ( ( hBOOL @ ( c_in @ SV714 @ SV1127 @ tc_Message_Oagent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV219 ) @ SV714 ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV219 ) @ SV1127 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3377]) ).
thf(3724,plain,
! [SV1391: $i,SV1128: $i,SV715: $i,SV220: $i] :
( ( ( hBOOL @ ( c_in @ SV220 @ SV715 @ tc_Message_Oagent ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV1128 ) @ SV220 ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV1391 ) @ SV715 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3378]) ).
thf(3725,plain,
! [SV1392: $i,SV1129: $i,SV716: $i,SV221: $i] :
( ( ( SV221 = SV716 )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV221 ) @ SV1129 ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV716 ) @ SV1392 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3379]) ).
thf(3726,plain,
! [SV1393: $i,SV1130: $i,SV717: $i,SV222: $i] :
( ( ( c_lessequals @ SV222 @ ( c_Set_Oinsert @ SV717 @ SV1130 @ SV1393 ) @ ( tc_fun @ SV1393 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV222 @ SV1130 @ ( tc_fun @ SV1393 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3380]) ).
thf(3727,plain,
! [SV1394: $i,SV1131: $i,SV718: $i,SV223: $i] :
( ( ( c_lessequals @ SV223 @ SV718 @ ( tc_fun @ SV1131 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ ( c_Set_Oinsert @ SV1394 @ SV223 @ SV1131 ) @ SV718 @ ( tc_fun @ SV1131 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3381]) ).
thf(3728,plain,
! [SV1512: $i,SV1395: $i,SV1132: $i,SV720: $i,SV225: $i] :
( ( ! [SY3714: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ SV225 @ SV720 ) @ SV1132 @ SV1395 ) )
| ~ ( hBOOL @ ( c_in @ SV720 @ SV1512 @ SY3714 ) )
| ~ ( c_lessequals @ ( c_Set_Oimage @ SV225 @ SV1512 @ SY3714 @ SV1395 ) @ SV1132 @ ( tc_fun @ SV1395 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3383]) ).
thf(3729,plain,
! [SV1134: $i,SV722: $i,SV227: $i] :
( ( ( class_Lattices_Olattice @ SV227 )
= $false )
| ( ( ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV722 @ SV1134 @ ( tc_fun @ t_a @ SV227 ) ) @ v_x )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( hAPP @ SV722 @ v_x ) @ ( hAPP @ SV1134 @ v_x ) @ SV227 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3385]) ).
thf(3730,plain,
! [SV1399: $i,SV1138: $i,SV730: $i,SV235: $i] :
( ( ( ~ ( class_Lattices_Oupper__semilattice @ SV235 ) )
= $true )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV730 @ SV1138 @ SV235 ) @ SV1399 @ SV235 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV730 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1138 @ SV1399 @ SV235 ) @ SV235 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3390]) ).
thf(3731,plain,
! [SV1400: $i,SV1139: $i,SV731: $i,SV236: $i] :
( ( ( ~ ( class_Lattices_Oupper__semilattice @ SV236 ) )
= $true )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV731 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1139 @ SV1400 @ SV236 ) @ SV236 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV1139 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV731 @ SV1400 @ SV236 ) @ SV236 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3391]) ).
thf(3732,plain,
! [SV1402: $i,SV1141: $i,SV733: $i,SV238: $i] :
( ( ( ~ ( class_Lattices_Olattice @ SV238 ) )
= $true )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV733 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1141 @ SV1402 @ SV238 ) @ SV238 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV1141 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV733 @ SV1402 @ SV238 ) @ SV238 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3393]) ).
thf(3733,plain,
! [SV1403: $i,SV1142: $i,SV734: $i,SV239: $i] :
( ( ( ~ ( class_Lattices_Olattice @ SV239 ) )
= $true )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV734 @ SV1142 @ SV239 ) @ SV1403 @ SV239 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV734 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1142 @ SV1403 @ SV239 ) @ SV239 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3394]) ).
thf(3734,plain,
! [SV1404: $i,SV1143: $i,SV735: $i,SV240: $i] :
( ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV240 @ SV735 @ ( tc_fun @ SV1143 @ tc_bool ) ) @ SV1404 @ ( tc_fun @ SV1143 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV735 @ SV1404 @ ( tc_fun @ SV1143 @ tc_bool ) )
| ~ ( c_lessequals @ SV240 @ SV1404 @ ( tc_fun @ SV1143 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3395]) ).
thf(3735,plain,
! [SV1405: $i,SV1146: $i,SV738: $i,SV243: $i] :
( ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV243 @ SV738 @ ( tc_fun @ SV1146 @ tc_bool ) ) @ SV1405 @ ( tc_fun @ SV1146 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV738 @ SV1405 @ ( tc_fun @ SV1146 @ tc_bool ) )
| ~ ( c_lessequals @ SV243 @ SV1405 @ ( tc_fun @ SV1146 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3396]) ).
thf(3736,plain,
! [SV1406: $i,SV1147: $i,SV739: $i,SV244: $i] :
( ( ( ~ ( class_Lattices_Oupper__semilattice @ SV244 ) )
= $true )
| ( ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV739 @ SV1147 @ SV244 ) @ SV1406 @ SV244 )
| ~ ( c_lessequals @ SV1147 @ SV1406 @ SV244 )
| ~ ( c_lessequals @ SV739 @ SV1406 @ SV244 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3397]) ).
thf(3737,plain,
! [SV1148: $i,SV740: $i,SV245: $i] :
( ( ( class_Lattices_Oupper__semilattice @ SV245 )
= $false )
| ( ( c_lessequals @ SV740 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV740 @ SV1148 @ SV245 ) @ SV245 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3398]) ).
thf(3738,plain,
! [SV1149: $i,SV741: $i,SV246: $i] :
( ( ( class_Lattices_Oupper__semilattice @ SV246 )
= $false )
| ( ( c_lessequals @ SV741 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1149 @ SV741 @ SV246 ) @ SV246 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3399]) ).
thf(3739,plain,
! [SV1407: $i,SV1150: $i,SV742: $i,SV247: $i] :
( ( ( ~ ( class_Lattices_Oupper__semilattice @ SV247 ) )
= $true )
| ( ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV742 @ SV1150 @ SV247 ) @ SV1407 @ SV247 )
| ~ ( c_lessequals @ SV1150 @ SV1407 @ SV247 )
| ~ ( c_lessequals @ SV742 @ SV1407 @ SV247 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3400]) ).
thf(3740,plain,
! [SV1408: $i,SV1151: $i,SV743: $i,SV248: $i] :
( ( ( ~ ( class_Lattices_Oupper__semilattice @ SV248 ) )
= $true )
| ( ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV743 @ SV1151 @ SV248 ) @ SV1408 @ SV248 )
| ~ ( c_lessequals @ SV1151 @ SV1408 @ SV248 )
| ~ ( c_lessequals @ SV743 @ SV1408 @ SV248 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3401]) ).
thf(3741,plain,
! [SV1152: $i,SV744: $i,SV249: $i] :
( ( ( class_Lattices_Olattice @ SV249 )
= $false )
| ( ( c_lessequals @ SV744 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1152 @ SV744 @ SV249 ) @ SV249 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3402]) ).
thf(3742,plain,
! [SV1153: $i,SV745: $i,SV250: $i] :
( ( ( class_Lattices_Olattice @ SV250 )
= $false )
| ( ( c_lessequals @ SV745 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV745 @ SV1153 @ SV250 ) @ SV250 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3403]) ).
thf(3743,plain,
! [SV1155: $i,SV747: $i,SV252: $i] :
( ( ( class_Lattices_Oupper__semilattice @ SV252 )
= $false )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV747 @ SV1155 @ SV252 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV1155 @ SV747 @ SV252 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3404]) ).
thf(3744,plain,
! [SV1156: $i,SV748: $i,SV253: $i] :
( ( ( class_Lattices_Olattice @ SV253 )
= $false )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV748 @ SV1156 @ SV253 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV1156 @ SV748 @ SV253 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3405]) ).
thf(3745,plain,
! [SV1158: $i,SV752: $i,SV257: $i] :
( ( ( class_Lattices_Oupper__semilattice @ SV257 )
= $false )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV752 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV752 @ SV1158 @ SV257 ) @ SV257 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV752 @ SV1158 @ SV257 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3408]) ).
thf(3746,plain,
! [SV1159: $i,SV753: $i,SV258: $i] :
( ( ( class_Lattices_Olattice @ SV258 )
= $false )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV753 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV753 @ SV1159 @ SV258 ) @ SV258 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV753 @ SV1159 @ SV258 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3409]) ).
thf(3747,plain,
! [SV1513: $i,SV1409: $i,SV1160: $i,SV755: $i,SV260: $i] :
( ( ( c_Set_Oinsert @ ( hAPP @ SV260 @ SV755 ) @ ( c_Set_Oimage @ SV260 @ SV1160 @ SV1409 @ SV1513 ) @ SV1513 )
= ( c_Set_Oimage @ SV260 @ ( c_Set_Oinsert @ SV755 @ SV1160 @ SV1409 ) @ SV1409 @ SV1513 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3410]) ).
thf(3748,plain,
! [SV1514: $i,SV1410: $i,SV1162: $i,SV757: $i,SV262: $i] :
( ( ~ ( class_HOL_Oord @ SV262 )
| ( c_lessequals @ ( hAPP @ SV757 @ SV1162 ) @ ( hAPP @ SV1410 @ SV1162 ) @ SV262 )
| ~ ( c_lessequals @ SV757 @ SV1410 @ ( tc_fun @ SV1514 @ SV262 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3412]) ).
thf(3749,plain,
! [SV1411: $i,SV1163: $i,SV759: $i,SV264: $i] :
( ( ( hBOOL @ ( c_in @ SV264 @ SV759 @ SV1163 ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV264 @ SV1411 @ SV1163 ) )
| ~ ( c_lessequals @ SV1411 @ SV759 @ ( tc_fun @ SV1163 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3414]) ).
thf(3750,plain,
! [SV1412: $i,SV1164: $i,SV760: $i,SV265: $i] :
( ( ( hBOOL @ ( c_in @ SV265 @ SV760 @ SV1164 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1412 @ SV760 @ ( tc_fun @ SV1164 @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV265 @ SV1412 @ SV1164 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3415]) ).
thf(3751,plain,
! [SV1413: $i,SV1165: $i,SV761: $i,SV266: $i] :
( ( ( hBOOL @ ( c_in @ SV266 @ SV761 @ SV1165 ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV266 @ SV1413 @ SV1165 ) )
| ~ ( c_lessequals @ SV1413 @ SV761 @ ( tc_fun @ SV1165 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3416]) ).
thf(3752,plain,
! [SV1414: $i,SV1166: $i,SV762: $i,SV267: $i] :
( ( ( hBOOL @ ( c_in @ SV267 @ SV762 @ SV1166 ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV267 @ SV1414 @ SV1166 ) )
| ~ ( c_lessequals @ SV1414 @ SV762 @ ( tc_fun @ SV1166 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3417]) ).
thf(3753,plain,
! [SV1415: $i,SV1167: $i,SV763: $i,SV268: $i] :
( ( ( hBOOL @ ( c_in @ SV268 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV763 @ SV1167 @ ( tc_fun @ SV1415 @ tc_bool ) ) @ SV1415 ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV268 @ SV763 @ SV1415 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3418]) ).
thf(3754,plain,
! [SV1416: $i,SV1168: $i,SV764: $i,SV269: $i] :
( ( ( hBOOL @ ( c_in @ SV269 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV764 @ SV1168 @ ( tc_fun @ SV1416 @ tc_bool ) ) @ SV1416 ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV269 @ SV1168 @ SV1416 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3419]) ).
thf(3755,plain,
! [SV1417: $i,SV1169: $i,SV765: $i,SV270: $i] :
( ( ( hBOOL @ ( c_in @ SV270 @ SV765 @ SV1169 ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ SV270 @ SV1417 @ SV1169 ) )
| ~ ( hBOOL @ ( c_in @ SV270 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1417 @ SV765 @ ( tc_fun @ SV1169 @ tc_bool ) ) @ SV1169 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3420]) ).
thf(3756,plain,
! [SV1515: $i,SV1418: $i,SV1170: $i,SV767: $i,SV272: $i] :
( ( ~ ( hBOOL @ ( c_in @ SV272 @ SV767 @ SV1170 ) )
| ( hBOOL @ ( c_in @ ( hAPP @ SV1418 @ SV272 ) @ ( c_Set_Oimage @ SV1418 @ SV767 @ SV1170 @ SV1515 ) @ SV1515 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3421]) ).
thf(3757,plain,
! [SV1516: $i,SV1419: $i,SV1171: $i,SV768: $i,SV273: $i] :
( ( ~ ( hBOOL @ ( c_in @ SV273 @ SV768 @ SV1171 ) )
| ( hBOOL @ ( c_in @ ( hAPP @ SV1419 @ SV273 ) @ ( c_Set_Oimage @ SV1419 @ SV768 @ SV1171 @ SV1516 ) @ SV1516 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3422]) ).
thf(3758,plain,
! [SV1517: $i,SV1420: $i,SV1172: $i,SV769: $i,SV274: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ SV274 @ SV769 ) @ ( c_Set_Oimage @ SV274 @ SV1172 @ SV1420 @ SV1517 ) @ SV1517 ) )
| ~ ( hBOOL @ ( c_in @ SV769 @ SV1172 @ SV1420 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3423]) ).
thf(3759,plain,
! [SV1518: $i,SV1421: $i,SV1173: $i,SV770: $i,SV275: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ SV275 @ SV770 ) @ ( c_Set_Oimage @ SV275 @ SV1173 @ SV1421 @ SV1518 ) @ SV1518 ) )
| ~ ( hBOOL @ ( c_in @ SV770 @ SV1173 @ SV1421 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3424]) ).
thf(3760,plain,
! [SV1519: $i,SV1422: $i,SV1174: $i,SV780: $i,SV287: $i] :
( ( ! [SY3715: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV287 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV287 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV780 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1174 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1422 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1174 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1422 ) @ ( c_Message_Omsg_OAgent @ SV287 ) ) ) ) ) ) ) ) @ SV1519 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3715 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV287 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1174 ) @ ( c_Message_Omsg_ONonce @ SV780 ) ) ) ) @ ( c_List_Oset @ SV1519 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1422 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1422 ) @ ( c_Event_Oused @ SV1519 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1519 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3433]) ).
thf(3761,plain,
! [SV1520: $i,SV1423: $i,SV1175: $i,SV781: $i,SV288: $i] :
( ( ! [SY3716: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV288 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV288 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV781 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1175 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1423 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1175 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1423 ) @ ( c_Message_Omsg_OAgent @ SV288 ) ) ) ) ) ) ) ) @ SV1520 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3716 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV288 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1175 ) @ ( c_Message_Omsg_ONonce @ SV781 ) ) ) ) @ ( c_List_Oset @ SV1520 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1423 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1423 ) @ ( c_Event_Oused @ SV1520 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1520 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3434]) ).
thf(3762,plain,
! [SV289: $i,SV782: $i,SV1176: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV1176 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV782 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV289 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV1176 @ SV782 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV289 @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV782 ) ) @ ( c_Message_Oparts @ SV782 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3435]) ).
thf(3763,plain,
! [SV1424: $i,SV1177: $i,SV783: $i,SV290: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV290 ) @ ( c_Message_Oanalz @ SV783 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV290 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV1177 @ SV783 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SV1424 @ SV783 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV1177 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1424 ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3436]) ).
thf(3764,plain,
! [SV1425: $i,SV1178: $i,SV784: $i,SV291: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV291 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV784 @ SV1178 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV291 ) @ ( c_Message_Oanalz @ SV1178 ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SV1425 @ SV1178 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV784 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1425 ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3437]) ).
thf(3765,plain,
! [SV1521: $i,SV1426: $i,SV1179: $i,SV785: $i,SV292: $i] :
( ( ! [SY3717: $i,SY3718: $i] :
( ( hBOOL @ ( c_in @ SV292 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV785 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1179 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV785 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1426 @ SV1521 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1521 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3717 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3718 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1179 ) @ SV292 ) ) ) ) ) @ ( c_List_Oset @ SV785 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3438]) ).
thf(3766,plain,
! [SV1522: $i,SV1427: $i,SV1180: $i,SV786: $i,SV293: $i] :
( ( ! [SY3719: $i,SY3720: $i,SY3721: $i,SY3722: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV293 @ SV786 @ ( c_Message_Omsg_OCrypt @ SV1180 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1427 ) @ ( c_Message_Omsg_ONonce @ SV1427 ) ) ) ) @ SV1522 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3719 @ SV293 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV293 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3720 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV786 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1180 ) @ SY3721 ) ) ) ) ) @ ( c_List_Oset @ SV1522 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3722 @ SV293 @ ( c_Message_Omsg_OCrypt @ SV1180 @ ( c_Message_Omsg_ONonce @ SV1427 ) ) ) @ ( c_List_Oset @ SV1522 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1180 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1522 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3439]) ).
thf(3767,plain,
! [SV787: $i,SV1181: $i,SV294: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV294 ) ) @ ( c_Message_Oanalz @ SV1181 ) @ tc_Message_Omsg ) )
= $false )
| ( ( c_lessequals @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV294 @ SV787 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV787 @ SV1181 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV294 @ SV787 ) @ SV1181 @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3440]) ).
thf(3768,plain,
! [SV788: $i,SV1182: $i,SV295: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV295 ) ) @ ( c_Message_Oanalz @ SV1182 ) @ tc_Message_Omsg ) )
= $false )
| ( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV295 @ SV788 ) @ SV1182 @ tc_Message_Omsg ) ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV295 @ SV788 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV788 @ SV1182 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3441]) ).
thf(3769,plain,
! [SV1523: $i,SV1428: $i,SV1183: $i,SV789: $i,SV296: $i] :
( ( ! [SY3723: $i,SY3724: $i,SY3725: $i,SY3726: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV296 @ SV789 @ ( c_Message_Omsg_OCrypt @ SV1183 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1428 ) @ ( c_Message_Omsg_ONonce @ SV1428 ) ) ) ) @ SV1523 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3723 @ SV296 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV296 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3724 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV789 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1183 ) @ SY3725 ) ) ) ) ) @ ( c_List_Oset @ SV1523 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3726 @ SV296 @ ( c_Message_Omsg_OCrypt @ SV1183 @ ( c_Message_Omsg_ONonce @ SV1428 ) ) ) @ ( c_List_Oset @ SV1523 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1183 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV1523 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3442]) ).
thf(3770,plain,
! [SV1429: $i,SV1184: $i,SV790: $i,SV297: $i] :
( ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV297 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV297 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV790 ) @ ( c_Message_Omsg_ONonce @ SV1184 ) ) ) ) @ SV1429 @ tc_Event_Oevent ) ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1184 ) @ ( c_Event_Oused @ SV1429 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1429 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3443]) ).
thf(3771,plain,
! [SV1430: $i,SV1185: $i,SV791: $i,SV298: $i] :
( ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV298 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV298 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV791 ) @ ( c_Message_Omsg_ONonce @ SV1185 ) ) ) ) @ SV1430 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1185 ) @ ( c_Event_Oused @ SV1430 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1430 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3444]) ).
thf(3772,plain,
! [SV301: $i,SV794: $i,SV1188: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV1188 ) ) @ ( c_Message_Oanalz @ SV794 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1188 @ SV301 ) @ ( c_Message_Oanalz @ SV794 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV301 @ ( c_Message_Oanalz @ SV794 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3446]) ).
thf(3773,plain,
! [SV1192: $i,SV305: $i,SV798: $i] :
( ( ( hBOOL @ ( c_in @ SV798 @ c_Event_Obad @ tc_Message_Oagent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV305 ) @ SV798 ) ) ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1192 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3448]) ).
thf(3774,plain,
! [SV314: $i,SV807: $i,SV1196: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV1196 @ ( c_Message_Osynth @ SV807 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV314 @ ( c_Message_Osynth @ ( c_Set_Oinsert @ SV1196 @ SV807 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV314 @ ( c_Message_Osynth @ SV807 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3455]) ).
thf(3775,plain,
! [SV809: $i,SV1198: $i,SV316: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV316 ) ) @ ( c_Message_Oanalz @ SV1198 ) @ tc_Message_Omsg ) )
= $false )
| ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV316 @ SV809 ) @ SV1198 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV316 @ SV809 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV809 @ SV1198 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3457]) ).
thf(3776,plain,
! [SV815: $i,SV1201: $i,SV322: $i] :
( ( ( hBOOL @ ( c_in @ SV322 @ ( c_Message_Oanalz @ SV1201 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV322 @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV815 @ SV1201 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3462]) ).
thf(3777,plain,
! [SV324: $i,SV817: $i,SV1202: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV1202 @ ( c_Message_Oanalz @ SV817 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV324 @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV1202 @ SV817 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV324 @ ( c_Message_Oanalz @ SV817 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3464]) ).
thf(3778,plain,
! [SV1524: $i,SV1436: $i,SV1203: $i,SV818: $i,SV325: $i] :
( ( ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV325 @ SV818 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV1203 @ SV1436 ) @ SV1524 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV1203 @ SV1436 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV325 @ SV818 ) @ SV1524 @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3465]) ).
thf(3779,plain,
! [SV819: $i,SV326: $i,SV1204: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1204 @ SV326 ) @ ( c_Message_Oparts @ SV819 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV326 @ ( c_Message_Oparts @ SV819 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3466]) ).
thf(3780,plain,
! [SV820: $i,SV1205: $i,SV327: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV327 @ SV1205 ) @ ( c_Message_Oparts @ SV820 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV327 @ ( c_Message_Oparts @ SV820 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3467]) ).
thf(3781,plain,
! [SV821: $i,SV328: $i,SV1206: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV1206 @ SV328 ) @ ( c_Message_Oparts @ SV821 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV328 @ ( c_Message_Oparts @ SV821 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3468]) ).
thf(3782,plain,
! [SV1209: $i,SV826: $i,SV336: $i] :
( ( ( hBOOL @ ( c_in @ SV336 @ SV826 @ SV1209 ) )
= $false )
| ( ( ( c_Set_Oinsert @ SV336 @ SV826 @ SV1209 )
= SV826 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3472]) ).
thf(3783,plain,
! [SV1437: $i,SV1213: $i,SV830: $i,SV340: $i] :
( ( ( hBOOL @ ( c_in @ SV340 @ SV830 @ SV1213 ) )
= $true )
| ( ( ( SV340 = SV1437 )
| ~ ( hBOOL @ ( c_in @ SV340 @ ( c_Set_Oinsert @ SV1437 @ SV830 @ SV1213 ) @ SV1213 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3473]) ).
thf(3784,plain,
! [SV1438: $i,SV1214: $i,SV831: $i,SV341: $i] :
( ( ( hBOOL @ ( c_in @ SV341 @ ( c_Set_Oinsert @ SV831 @ SV1214 @ SV1438 ) @ SV1438 ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV341 @ SV1214 @ SV1438 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3474]) ).
thf(3785,plain,
! [SV1439: $i,SV1215: $i,SV832: $i,SV342: $i] :
( ( ( hBOOL @ ( c_in @ SV342 @ ( c_Set_Oinsert @ SV832 @ SV1215 @ SV1439 ) @ SV1439 ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV342 @ SV1215 @ SV1439 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3475]) ).
thf(3786,plain,
! [SV1440: $i,SV1216: $i,SV833: $i,SV343: $i] :
( ( ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV343 @ SV833 @ SV1216 ) @ SV1440 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV833 @ SV1440 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3476]) ).
thf(3787,plain,
! [SV1442: $i,SV1221: $i,SV839: $i,SV349: $i] :
( ( ( hBOOL @ ( hAPP @ SV349 @ SV839 ) )
= $true )
| ( ( ( SV1221 = SV839 )
| ~ ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV1221 @ SV349 @ SV1442 ) @ SV839 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3478]) ).
thf(3788,plain,
! [SV847: $i,SV1225: $i,SV359: $i] :
( ( ( hBOOL @ ( c_in @ SV359 @ ( c_Message_Oparts @ SV1225 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV359 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV847 @ SV1225 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3481]) ).
thf(3789,plain,
! [SV360: $i,SV1226: $i,SV848: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV848 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1226 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV360 ) ) @ ( c_Message_Oanalz @ SV1226 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV360 ) @ ( c_Message_Oanalz @ SV1226 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV360 @ SV848 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1226 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3482]) ).
thf(3790,plain,
! [SV849: $i,SV361: $i,SV1227: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1227 @ SV361 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV849 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV1227 ) ) @ ( c_Message_Oanalz @ SV849 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1227 ) @ ( c_Message_Oanalz @ SV849 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV361 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV849 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3483]) ).
thf(3791,plain,
! [SV1444: $i,SV1229: $i,SV851: $i,SV363: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV363 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV851 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV363 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV1229 @ SV1444 ) @ SV851 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3484]) ).
thf(3792,plain,
! [SV1230: $i,SV364: $i,SV852: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OGets @ SV852 @ SV364 ) @ ( c_List_Oset @ SV1230 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( SV852 = c_Message_Oagent_OSpy )
= $true )
| ( ( hBOOL @ ( c_in @ SV364 @ ( c_Event_Oknows @ SV852 @ SV1230 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3485]) ).
thf(3793,plain,
! [SV1525: $i,SV1445: $i,SV1231: $i,SV853: $i,SV365: $i] :
( ( ! [SY3727: $i,SY3728: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV365 @ SV853 @ SV1231 ) @ SV1445 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV365 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV365 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV853 ) @ ( c_Message_Omsg_ONonce @ SV1525 ) ) ) ) @ ( c_List_Oset @ SV1445 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3727 @ SV365 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV365 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1525 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV853 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3728 ) @ SV1231 ) ) ) ) ) @ ( c_List_Oset @ SV1445 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV365 = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1445 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3486]) ).
thf(3794,plain,
! [SV1446: $i,SV1232: $i,SV854: $i,SV366: $i] :
( ( ( hBOOL @ ( c_in @ SV366 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV854 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1232 @ SV1446 @ SV366 ) @ ( c_List_Oset @ SV854 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3487]) ).
thf(3795,plain,
! [SV1526: $i,SV1447: $i,SV1233: $i,SV855: $i,SV367: $i] :
( ( ! [SY3729: $i,SY3730: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV367 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV855 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV1233 ) ) ) ) @ SV1447 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1526 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1526 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV367 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3729 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1233 ) @ SY3730 ) ) ) ) ) @ ( c_List_Oset @ SV1447 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3729 @ SV1526 @ ( c_Message_Omsg_OCrypt @ SV1233 @ ( c_Message_Omsg_ONonce @ SV855 ) ) ) @ ( c_List_Oset @ SV1447 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1447 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3488]) ).
thf(3796,plain,
! [SV1234: $i,SV856: $i,SV368: $i] :
( ( ( hBOOL @ ( c_in @ SV368 @ c_Event_Obad @ tc_Message_Oagent ) )
= $false )
| ( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV368 @ SV856 ) @ SV1234 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV856 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1234 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3489]) ).
thf(3797,plain,
! [SV369: $i,SV1235: $i,SV857: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV857 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1235 ) ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1235 ) ) )
= $true )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ SV369 @ SV857 ) @ SV1235 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3490]) ).
thf(3798,plain,
! [SV1527: $i,SV1448: $i,SV1236: $i,SV858: $i,SV370: $i] :
( ( ! [SY3731: $i,SY3732: $i,SY3733: $i] :
( ( hBOOL @ ( c_in @ SV370 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV858 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1236 @ SV1448 @ ( c_Message_Omsg_OCrypt @ SV1527 @ ( c_Message_Omsg_OMPair @ SY3731 @ ( c_Message_Omsg_OMPair @ SY3732 @ ( c_Message_Omsg_OMPair @ SY3733 @ SV370 ) ) ) ) ) @ ( c_List_Oset @ SV858 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3491]) ).
thf(3799,plain,
! [SV859: $i,SV371: $i] :
( ( ( hBOOL @ ( c_in @ SV371 @ c_Event_Obad @ tc_Message_Oagent ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV859 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV371 ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV859 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3492]) ).
thf(3800,plain,
! [SV860: $i,SV372: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV372 ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV860 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV860 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV372 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3493]) ).
thf(3801,plain,
! [SV1528: $i,SV1449: $i,SV1237: $i,SV861: $i,SV373: $i] :
( ( ! [SY3734: $i] :
( ( hBOOL @ ( c_in @ SV373 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV861 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1237 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1237 ) @ ( c_Message_Omsg_OMPair @ SV1449 @ ( c_Message_Omsg_OMPair @ SV1528 @ ( c_Message_Omsg_OMPair @ SV373 @ SY3734 ) ) ) ) ) @ ( c_List_Oset @ SV861 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3494]) ).
thf(3802,plain,
! [SV1529: $i,SV1450: $i,SV1238: $i,SV862: $i,SV374: $i] :
( ( ! [SY3735: $i] :
( ( SV374
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV862 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1238 ) @ ( c_Message_Omsg_OAgent @ SV1450 ) ) ) )
| ~ ( hBOOL @ ( c_in @ SV1529 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SV1450 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1450 ) @ ( c_Message_Omsg_OMPair @ SY3735 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV862 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1238 ) @ SV374 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1529 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3495]) ).
thf(3803,plain,
! [SV1530: $i,SV1451: $i,SV1239: $i,SV863: $i,SV375: $i] :
( ( ! [SY3736: $i,SY3737: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV375 @ SV863 @ SV1239 ) @ SV1451 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV375 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV375 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV863 ) @ ( c_Message_Omsg_ONonce @ SV1530 ) ) ) ) @ ( c_List_Oset @ SV1451 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3736 @ SV375 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV375 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1530 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV863 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3737 ) @ SV1239 ) ) ) ) ) @ ( c_List_Oset @ SV1451 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV375 = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_in @ SV1451 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3496]) ).
thf(3804,plain,
! [SV1531: $i,SV1452: $i,SV1240: $i,SV864: $i,SV376: $i] :
( ( ! [SY3738: $i,SY3739: $i] :
( ( hBOOL @ ( c_in @ SV376 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV864 ) ) @ tc_Message_Omsg ) )
| ( SV376
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1240 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1452 ) @ ( c_Message_Omsg_OAgent @ SV1531 ) ) ) )
| ~ ( hBOOL @ ( c_in @ SV864 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3738 @ SV1531 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1531 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3739 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1240 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1452 ) @ SV376 ) ) ) ) ) @ ( c_List_Oset @ SV864 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3497]) ).
thf(3805,plain,
! [SV1532: $i,SV1453: $i,SV1241: $i,SV865: $i,SV377: $i] :
( ( ! [SY3740: $i,SY3741: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV377 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV865 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV1241 ) ) ) ) @ SV1453 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1532 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1532 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV377 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3740 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1241 ) @ SY3741 ) ) ) ) ) @ ( c_List_Oset @ SV1453 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3740 @ SV1532 @ ( c_Message_Omsg_OCrypt @ SV1241 @ ( c_Message_Omsg_ONonce @ SV865 ) ) ) @ ( c_List_Oset @ SV1453 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1453 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3498]) ).
thf(3806,plain,
! [SV1533: $i,SV1454: $i,SV1242: $i,SV866: $i,SV378: $i] :
( ( ! [SY3742: $i] :
( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV378 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV378 ) @ ( c_Message_Omsg_OMPair @ SV866 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1242 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1454 ) @ SV1533 ) ) ) ) ) @ ( c_List_Oset @ SY3742 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SY3742 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SV378 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV378 ) @ ( c_Message_Omsg_OMPair @ SV866 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1242 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1454 ) @ SV1533 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY3742 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3499]) ).
thf(3807,plain,
! [SV1455: $i,SV1243: $i,SV867: $i,SV379: $i] :
( ( ( hBOOL @ ( c_in @ SV379 @ ( c_Event_Oknows @ SV867 @ SV1243 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV867 @ SV1455 @ SV379 ) @ ( c_List_Oset @ SV1243 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3500]) ).
thf(3808,plain,
! [SV868: $i,SV380: $i,SV1244: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV1244 @ SV380 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV868 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV380 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV868 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3501]) ).
thf(3809,plain,
! [SV869: $i,SV1245: $i,SV381: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV381 @ SV1245 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV869 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV381 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV869 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3502]) ).
thf(3810,plain,
! [SV870: $i,SV383: $i,SV1246: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV1246 @ SV383 ) @ ( c_Message_Oanalz @ SV870 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV383 @ ( c_Message_Oanalz @ SV870 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3503]) ).
thf(3811,plain,
! [SV871: $i,SV1247: $i,SV384: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV384 @ SV1247 ) @ ( c_Message_Oanalz @ SV871 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV384 @ ( c_Message_Oanalz @ SV871 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3504]) ).
thf(3812,plain,
! [SV386: $i,SV1248: $i,SV873: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV873 @ ( c_Message_Osynth @ SV1248 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV386 @ ( c_Message_Osynth @ SV1248 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV386 @ SV873 ) @ ( c_Message_Osynth @ SV1248 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3506]) ).
thf(3813,plain,
! [SV1456: $i,SV1249: $i,SV874: $i,SV387: $i] :
( ( ( hBOOL @ ( c_in @ SV387 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV874 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1249 @ SV1456 @ SV387 ) @ ( c_List_Oset @ SV874 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3507]) ).
thf(3814,plain,
! [SV388: $i,SV1250: $i,SV875: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV875 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1250 ) ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1250 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ SV388 @ SV875 ) @ SV1250 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3508]) ).
thf(3815,plain,
! [SV876: $i,SV389: $i,SV1251: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV1251 @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SV1251 @ SV389 ) @ ( c_List_Oset @ SV876 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV389 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV876 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3509]) ).
thf(3816,plain,
! [SV1534: $i,SV1457: $i,SV1252: $i,SV877: $i,SV390: $i] :
( ( ! [SY3743: $i,SY3744: $i] :
( ( SV390
= ( hAPP @ c_Public_OshrK @ SV877 ) )
| ~ ( hBOOL @ ( c_in @ SV1252 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV877 @ ( c_Message_Omsg_OCrypt @ SV390 @ ( c_Message_Omsg_OMPair @ SV1457 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1534 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3743 ) @ SY3744 ) ) ) ) ) @ ( c_List_Oset @ SV1252 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3510]) ).
thf(3817,plain,
! [SV393: $i,SV880: $i,SV1253: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV1253 ) ) @ ( c_Message_Oanalz @ SV880 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1253 ) @ SV393 ) @ ( c_Message_Oanalz @ SV880 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV393 @ ( c_Message_Oanalz @ SV880 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3513]) ).
thf(3818,plain,
! [SV1458: $i,SV1254: $i,SV881: $i,SV394: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV394 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV881 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV394 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV1254 @ SV1458 ) @ SV881 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3514]) ).
thf(3819,plain,
! [SV1459: $i,SV1255: $i,SV882: $i,SV395: $i] :
( ( ( hBOOL @ ( c_in @ SV395 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV882 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1255 @ SV1459 @ SV395 ) @ ( c_List_Oset @ SV882 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3515]) ).
thf(3820,plain,
! [SV883: $i,SV396: $i,SV1256: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV1256 @ SV396 ) @ SV883 @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV1256 @ SV396 ) @ ( c_Message_Osynth @ SV883 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV396 @ ( c_Message_Osynth @ SV883 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3516]) ).
thf(3821,plain,
! [SV884: $i,SV1257: $i,SV397: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV397 @ SV1257 ) @ SV884 @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV397 @ SV1257 ) @ ( c_Message_Osynth @ SV884 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV397 @ ( c_Message_Osynth @ SV884 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3517]) ).
thf(3822,plain,
! [SV1535: $i,SV1460: $i,SV1258: $i,SV885: $i,SV398: $i] :
( ( ! [SY3745: $i,SY3746: $i,SY3747: $i,SY3748: $i,SY3749: $i] :
( ( SV398 = SV885 )
| ~ ( hBOOL @ ( c_in @ SV1258 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV885 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV885 ) @ ( c_Message_Omsg_OMPair @ SV1460 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1535 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3745 ) @ SY3746 ) ) ) ) ) @ ( c_List_Oset @ SV1258 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV398 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV398 ) @ ( c_Message_Omsg_OMPair @ SY3747 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3748 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3745 ) @ SY3749 ) ) ) ) ) @ ( c_List_Oset @ SV1258 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3518]) ).
thf(3823,plain,
! [SV1536: $i,SV1461: $i,SV1259: $i,SV886: $i,SV399: $i] :
( ( ! [SY3750: $i,SY3751: $i,SY3752: $i,SY3753: $i,SY3754: $i] :
( ( SV399 = SV886 )
| ~ ( hBOOL @ ( c_in @ SV1259 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1461 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1461 ) @ ( c_Message_Omsg_OMPair @ SV886 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1536 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3750 ) @ SY3751 ) ) ) ) ) @ ( c_List_Oset @ SV1259 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3752 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3752 ) @ ( c_Message_Omsg_OMPair @ SV399 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3753 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3750 ) @ SY3754 ) ) ) ) ) @ ( c_List_Oset @ SV1259 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3519]) ).
thf(3824,plain,
! [SV1537: $i,SV1462: $i,SV1260: $i,SV887: $i,SV400: $i] :
( ( ! [SY3755: $i,SY3756: $i,SY3757: $i,SY3758: $i,SY3759: $i] :
( ( SV400 = SV887 )
| ~ ( hBOOL @ ( c_in @ SV1260 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1462 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1462 ) @ ( c_Message_Omsg_OMPair @ SV1537 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV887 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3755 ) @ SY3756 ) ) ) ) ) @ ( c_List_Oset @ SV1260 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3757 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3757 ) @ ( c_Message_Omsg_OMPair @ SY3758 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV400 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3755 ) @ SY3759 ) ) ) ) ) @ ( c_List_Oset @ SV1260 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3520]) ).
thf(3825,plain,
! [SV1538: $i,SV1463: $i,SV1261: $i,SV888: $i,SV401: $i] :
( ( ! [SY3760: $i,SY3761: $i,SY3762: $i,SY3763: $i,SY3764: $i] :
( ( SV401 = SV888 )
| ~ ( hBOOL @ ( c_in @ SV1261 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1463 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1463 ) @ ( c_Message_Omsg_OMPair @ SV1538 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3760 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3761 ) @ SV888 ) ) ) ) ) @ ( c_List_Oset @ SV1261 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3762 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3762 ) @ ( c_Message_Omsg_OMPair @ SY3763 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3764 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3761 ) @ SV401 ) ) ) ) ) @ ( c_List_Oset @ SV1261 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3521]) ).
thf(3826,plain,
! [SV403: $i,SV1262: $i,SV890: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV890 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1262 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV403 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1262 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV403 @ SV890 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1262 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3523]) ).
thf(3827,plain,
! [SV892: $i,SV405: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV405 ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV892 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV892 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV405 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3524]) ).
thf(3828,plain,
! [SV893: $i,SV406: $i] :
( ( ( hBOOL @ ( c_in @ SV406 @ c_Event_Obad @ tc_Message_Oagent ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV893 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV406 ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV893 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3525]) ).
thf(3829,plain,
! [SV1263: $i,SV408: $i,SV895: $i] :
( ( ( hBOOL @ ( hAPP @ SV895 @ SV408 ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV408 @ SV895 @ SV1263 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3527]) ).
thf(3830,plain,
! [SV1264: $i,SV409: $i,SV896: $i] :
( ( ( hBOOL @ ( c_in @ SV896 @ SV409 @ SV1264 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV409 @ SV896 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3528]) ).
thf(3831,plain,
! [SV1464: $i,SV1265: $i,SV897: $i,SV410: $i] :
( ( ( hBOOL @ ( c_in @ SV410 @ ( c_List_Oset @ SV897 @ SV1265 ) @ SV1265 ) )
= $true )
| ( ( ( SV410 = SV1464 )
| ~ ( hBOOL @ ( c_in @ SV410 @ ( c_List_Oset @ ( c_List_Olist_OCons @ SV1464 @ SV897 @ SV1265 ) @ SV1265 ) @ SV1265 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3529]) ).
thf(3832,plain,
! [SV1267: $i,SV412: $i,SV899: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SV899 @ SV412 ) @ ( c_List_Oset @ SV1267 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV412 @ ( c_Event_Oknows @ SV899 @ SV1267 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3531]) ).
thf(3833,plain,
! [SV900: $i,SV413: $i,SV1268: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV1268 @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1268 ) @ SV413 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV900 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV413 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV900 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3532]) ).
thf(3834,plain,
! [SV1539: $i,SV1465: $i,SV1269: $i,SV904: $i,SV417: $i] :
( ( ! [SY3765: $i,SY3766: $i] :
( ( SV417
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV904 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1269 ) @ ( c_Message_Omsg_OAgent @ SV1465 ) ) ) )
| ~ ( hBOOL @ ( c_in @ SV1539 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1465 @ ( c_Message_Omsg_OCrypt @ SY3765 @ ( c_Message_Omsg_OMPair @ SY3766 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV904 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1269 ) @ SV417 ) ) ) ) ) @ ( c_List_Oset @ SV1539 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3534]) ).
thf(3835,plain,
! [SV1270: $i,SV905: $i,SV418: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV418 @ SV905 ) @ SV1270 @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV418 ) @ SV1270 @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV418 @ SV905 ) @ ( c_Message_Osynth @ SV1270 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3535]) ).
thf(3836,plain,
! [SV1271: $i,SV906: $i,SV419: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV419 @ SV906 ) @ ( c_Message_Osynth @ SV1271 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV419 ) @ SV1271 @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV419 @ SV906 ) @ SV1271 @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3536]) ).
thf(3837,plain,
! [SV907: $i,SV1272: $i,SV420: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV420 @ SV1272 ) @ SV907 @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV420 @ SV1272 ) @ ( c_Message_Osynth @ SV907 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV420 ) @ SV907 @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3537]) ).
thf(3838,plain,
! [SV909: $i,SV423: $i,SV1273: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1273 @ SV423 ) @ SV909 @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1273 @ SV423 ) @ ( c_Message_Osynth @ SV909 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV423 @ ( c_Message_Osynth @ SV909 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3539]) ).
thf(3839,plain,
! [SV1540: $i,SV1466: $i,SV1274: $i,SV910: $i,SV424: $i] :
( ( ~ ( hBOOL @ ( c_in @ SV424 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV910 ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV424 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV1274 @ SV1466 @ SV1540 ) @ SV910 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3540]) ).
thf(3840,plain,
! [SV911: $i,SV1275: $i,SV425: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV425 ) @ SV1275 @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV911 @ ( c_Message_Osynth @ SV1275 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV425 @ SV911 ) @ ( c_Message_Osynth @ SV1275 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3541]) ).
thf(3841,plain,
! [SV1276: $i,SV923: $i,SV437: $i] :
( ( ( c_fequal @ SV437 @ SV923 @ SV1276 )
= $false )
| ( ( SV437 = SV923 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3552]) ).
thf(3842,plain,
! [SV1467: $i,SV1277: $i,SV926: $i,SV440: $i] :
( ( ( c_Event_Oevent_OGets @ SV440 @ SV926 )
= ( c_Event_Oevent_ONotes @ SV1277 @ SV1467 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3554]) ).
thf(3843,plain,
! [SV1278: $i,SV927: $i,SV441: $i] :
( ( ( ( c_HOL_Ouminus__class_Ouminus @ SV441 @ ( tc_fun @ SV927 @ tc_bool ) )
= ( c_HOL_Ouminus__class_Ouminus @ SV1278 @ ( tc_fun @ SV927 @ tc_bool ) ) )
= $false )
| ( ( SV441 = SV1278 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3555]) ).
thf(3844,plain,
! [SV1541: $i,SV1468: $i,SV1279: $i,SV928: $i,SV442: $i] :
( ( ( c_Event_Oevent_OSays @ SV442 @ SV928 @ SV1279 )
!= ( c_Event_Oevent_OGets @ SV1468 @ SV1541 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3556]) ).
thf(3845,plain,
! [SV1282: $i,SV932: $i,SV446: $i] :
( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV446 @ SV932 @ ( tc_fun @ SV1282 @ tc_bool ) )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1282 @ tc_bool ) ) )
= $false )
| ( ( SV932
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1282 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3559]) ).
thf(3846,plain,
! [SV1283: $i,SV933: $i,SV447: $i] :
( ( ( class_Lattices_Oupper__semilattice @ SV447 )
= $false )
| ( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV933 @ SV1283 @ SV447 )
!= SV1283 )
| ( c_lessequals @ SV933 @ SV1283 @ SV447 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3560]) ).
thf(3847,plain,
! [SV1542: $i,SV1469: $i,SV1284: $i,SV934: $i,SV448: $i] :
( ( ( ( c_Set_Oinsert @ SV448 @ ( c_Set_Oinsert @ SV934 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1284 @ tc_bool ) ) @ SV1284 ) @ SV1284 )
!= ( c_Set_Oinsert @ SV1469 @ ( c_Set_Oinsert @ SV1542 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1284 @ tc_bool ) ) @ SV1284 ) @ SV1284 ) )
| ( SV934 = SV1469 )
| ( SV448 = SV1469 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3561]) ).
thf(3848,plain,
! [SV1470: $i,SV1288: $i,SV942: $i,SV458: $i] :
( ( ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV458 ) @ SV942 ) )
= ( hAPP @ ( c_Public_OpublicKey @ SV1288 ) @ SV1470 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3566]) ).
thf(3849,plain,
! [SV1471: $i,SV1289: $i,SV943: $i,SV459: $i] :
( ( ( ( c_Event_Oevent_OGets @ SV459 @ SV943 )
!= ( c_Event_Oevent_OGets @ SV1289 @ SV1471 ) )
= $true )
| ( ( SV459 = SV1289 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3567]) ).
thf(3850,plain,
! [SV1291: $i,SV945: $i,SV461: $i] :
( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV461 @ SV945 @ ( tc_fun @ SV1291 @ tc_bool ) )
= SV945 )
= $false )
| ( ( c_lessequals @ SV461 @ SV945 @ ( tc_fun @ SV1291 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3569]) ).
thf(3851,plain,
! [SV1292: $i,SV946: $i,SV462: $i] :
( ( ( ( c_Message_Oanalz @ SV462 )
= ( c_Message_Oanalz @ SV946 ) )
= $false )
| ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV1292 @ SV462 @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV1292 @ SV946 @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3570]) ).
thf(3852,plain,
! [SV1472: $i,SV1293: $i,SV947: $i,SV463: $i] :
( ( ( ( c_Message_Omsg_OCrypt @ SV463 @ SV947 )
!= ( c_Message_Omsg_OCrypt @ SV1293 @ SV1472 ) )
= $true )
| ( ( SV463 = SV1293 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3571]) ).
thf(3853,plain,
! [SV1473: $i,SV1295: $i,SV950: $i,SV466: $i] :
( ( ( ( c_Set_Oinsert @ SV466 @ SV950 @ SV1295 )
!= ( c_Set_Oinsert @ SV466 @ SV1473 @ SV1295 ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ SV466 @ SV1473 @ SV1295 ) )
| ( hBOOL @ ( c_in @ SV466 @ SV950 @ SV1295 ) )
| ( SV950 = SV1473 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3573]) ).
thf(3854,plain,
! [SV1296: $i,SV951: $i,SV467: $i] :
( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV467 @ SV951 @ ( tc_fun @ SV1296 @ tc_bool ) )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1296 @ tc_bool ) ) )
= $false )
| ( ( SV467
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1296 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3574]) ).
thf(3855,plain,
! [SV1297: $i,SV952: $i,SV468: $i] :
( ( ( ( c_Set_Oinsert @ SV468 @ SV952 @ SV1297 )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1297 @ tc_bool ) ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV468 @ SV952 @ SV1297 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3575]) ).
thf(3856,plain,
! [SV1474: $i,SV1299: $i,SV954: $i,SV470: $i] :
( ( ( ( hAPP @ ( c_Public_OpublicKey @ SV470 ) @ SV954 )
!= ( hAPP @ ( c_Public_OpublicKey @ SV1299 ) @ SV1474 ) )
= $true )
| ( ( SV954 = SV1474 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3577]) ).
thf(3857,plain,
! [SV1475: $i,SV1300: $i,SV956: $i,SV472: $i] :
( ( ( hAPP @ ( c_Public_OpublicKey @ SV472 ) @ SV956 )
= ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV1300 ) @ SV1475 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3579]) ).
thf(3858,plain,
! [SV1543: $i,SV1476: $i,SV1301: $i,SV957: $i,SV473: $i] :
( ( ( ( c_Set_Oinsert @ SV473 @ ( c_Set_Oinsert @ SV957 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1301 @ tc_bool ) ) @ SV1301 ) @ SV1301 )
!= ( c_Set_Oinsert @ SV1476 @ ( c_Set_Oinsert @ SV1543 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1301 @ tc_bool ) ) @ SV1301 ) @ SV1301 ) )
| ( SV473 = SV1543 )
| ( SV957 = SV1543 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3580]) ).
thf(3859,plain,
! [SV1302: $i,SV958: $i,SV474: $i] :
( ( ( class_Lattices_Obounded__lattice @ SV474 )
= $false )
| ( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV958 @ SV1302 @ SV474 )
!= ( c_Orderings_Obot__class_Obot @ SV474 ) )
| ( SV1302
= ( c_Orderings_Obot__class_Obot @ SV474 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3581]) ).
thf(3860,plain,
! [SV1544: $i,SV1477: $i,SV1303: $i,SV959: $i,SV475: $i] :
( ( ! [SY3767: $i] :
( ( ( c_Event_Oevent_OSays @ SV475 @ SV959 @ SV1303 )
!= ( c_Event_Oevent_OSays @ SV1477 @ SV1544 @ SY3767 ) )
| ( SV1303 = SY3767 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3582]) ).
thf(3861,plain,
! [SV1478: $i,SV1304: $i,SV960: $i,SV476: $i] :
( ( ( ( hAPP @ ( c_Public_OpublicKey @ SV476 ) @ SV960 )
!= ( hAPP @ ( c_Public_OpublicKey @ SV1304 ) @ SV1478 ) )
= $true )
| ( ( SV476 = SV1304 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3583]) ).
thf(3862,plain,
! [SV1545: $i,SV1479: $i,SV1305: $i,SV961: $i,SV477: $i] :
( ( ( ( c_List_Olist_OCons @ SV477 @ SV961 @ SV1305 )
!= ( c_List_Olist_OCons @ SV1479 @ SV1545 @ SV1305 ) )
| ( SV477 = SV1479 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3584]) ).
thf(3863,plain,
! [SV1480: $i,SV1307: $i,SV963: $i,SV479: $i] :
( ( ( ( c_Message_Oanalz @ SV479 )
!= ( c_Message_Oanalz @ SV963 ) )
= $true )
| ( ( ( ( c_Message_Oanalz @ SV1307 )
!= ( c_Message_Oanalz @ SV1480 ) )
| ( ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1307 @ SV479 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1480 @ SV963 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3586]) ).
thf(3864,plain,
! [SV1481: $i,SV1308: $i,SV964: $i,SV480: $i] :
( ( ( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV480 @ tc_bool ) )
!= ( c_Set_Oimage @ SV964 @ SV1308 @ SV1481 @ SV480 ) )
= $true )
| ( ( SV1308
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1481 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3587]) ).
thf(3865,plain,
! [SV1546: $i,SV1482: $i,SV1310: $i,SV966: $i,SV483: $i] :
( ( ( ( c_Set_Oinsert @ SV483 @ ( c_Set_Oinsert @ SV966 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1310 @ tc_bool ) ) @ SV1310 ) @ SV1310 )
!= ( c_Set_Oinsert @ SV1482 @ ( c_Set_Oinsert @ SV1546 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1310 @ tc_bool ) ) @ SV1310 ) @ SV1310 ) )
| ( SV483 = SV1546 )
| ( SV483 = SV1482 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3589]) ).
thf(3866,plain,
! [SV1311: $i,SV967: $i,SV484: $i] :
( ( ( class_OrderedGroup_Ogroup__add @ SV484 )
= $false )
| ( ( ( ( c_HOL_Ouminus__class_Ouminus @ SV967 @ SV484 )
!= ( c_HOL_Ouminus__class_Ouminus @ SV1311 @ SV484 ) )
| ( SV967 = SV1311 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3590]) ).
thf(3867,plain,
! [SV1483: $i,SV1312: $i,SV968: $i,SV485: $i] :
( ( ( c_Event_Oevent_ONotes @ SV485 @ SV968 )
= ( c_Event_Oevent_OGets @ SV1312 @ SV1483 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3591]) ).
thf(3868,plain,
! [SV1484: $i,SV1314: $i,SV970: $i,SV487: $i] :
( ( ( c_Message_Omsg_OCrypt @ SV487 @ SV970 )
= ( c_Message_Omsg_OMPair @ SV1314 @ SV1484 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3593]) ).
thf(3869,plain,
! [SV1485: $i,SV1315: $i,SV973: $i,SV490: $i] :
( ( ( ( c_Event_Oevent_OGets @ SV490 @ SV973 )
!= ( c_Event_Oevent_OGets @ SV1315 @ SV1485 ) )
= $true )
| ( ( SV973 = SV1485 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3595]) ).
thf(3870,plain,
! [SV1486: $i,SV1316: $i,SV974: $i,SV491: $i] :
( ( ( ( c_Event_Oevent_ONotes @ SV491 @ SV974 )
!= ( c_Event_Oevent_ONotes @ SV1316 @ SV1486 ) )
= $true )
| ( ( SV491 = SV1316 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3596]) ).
thf(3871,plain,
! [SV1317: $i,SV975: $i,SV492: $i] :
( ( ( class_Lattices_Oboolean__algebra @ SV492 )
= $false )
| ( ( ( ( c_HOL_Ouminus__class_Ouminus @ SV975 @ SV492 )
!= ( c_HOL_Ouminus__class_Ouminus @ SV1317 @ SV492 ) )
| ( SV975 = SV1317 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3597]) ).
thf(3872,plain,
! [SV1547: $i,SV1487: $i,SV1318: $i,SV976: $i,SV493: $i] :
( ( ( c_Event_Oevent_OSays @ SV493 @ SV976 @ SV1318 )
!= ( c_Event_Oevent_ONotes @ SV1487 @ SV1547 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3598]) ).
thf(3873,plain,
! [SV1488: $i,SV1319: $i,SV977: $i,SV494: $i] :
( ( ( ( c_Message_Omsg_OMPair @ SV494 @ SV977 )
!= ( c_Message_Omsg_OMPair @ SV1319 @ SV1488 ) )
= $true )
| ( ( SV494 = SV1319 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3599]) ).
thf(3874,plain,
! [SV1548: $i,SV1489: $i,SV1322: $i,SV980: $i,SV497: $i] :
( ( ( ( c_List_Olist_OCons @ SV497 @ SV980 @ SV1322 )
!= ( c_List_Olist_OCons @ SV1489 @ SV1548 @ SV1322 ) )
| ( SV980 = SV1548 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3602]) ).
thf(3875,plain,
! [SV1490: $i,SV1323: $i,SV981: $i,SV498: $i] :
( ( ( c_Message_Omsg_OMPair @ SV498 @ SV981 )
= ( c_Message_Omsg_OCrypt @ SV1323 @ SV1490 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3603]) ).
thf(3876,plain,
! [SV1549: $i,SV1491: $i,SV1325: $i,SV983: $i,SV500: $i] :
( ( ! [SY3768: $i] :
( ( ( c_Event_Oevent_OSays @ SV500 @ SV983 @ SV1325 )
!= ( c_Event_Oevent_OSays @ SV1491 @ SV1549 @ SY3768 ) )
| ( SV500 = SV1491 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3605]) ).
thf(3877,plain,
! [SV1492: $i,SV1326: $i,SV984: $i,SV501: $i] :
( ( ( ( c_Message_Omsg_OCrypt @ SV501 @ SV984 )
!= ( c_Message_Omsg_OCrypt @ SV1326 @ SV1492 ) )
= $true )
| ( ( SV984 = SV1492 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3606]) ).
thf(3878,plain,
! [SV1550: $i,SV1493: $i,SV1327: $i,SV986: $i,SV504: $i] :
( ( ( ( c_Set_Oinsert @ SV504 @ ( c_Set_Oinsert @ SV986 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1327 @ tc_bool ) ) @ SV1327 ) @ SV1327 )
!= ( c_Set_Oinsert @ SV1493 @ ( c_Set_Oinsert @ SV1550 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1327 @ tc_bool ) ) @ SV1327 ) @ SV1327 ) )
| ( SV986 = SV1493 )
| ( SV986 = SV1550 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3608]) ).
thf(3879,plain,
! [SV1551: $i,SV1494: $i,SV1328: $i,SV987: $i,SV505: $i] :
( ( ( c_Event_Oevent_ONotes @ SV505 @ SV987 )
!= ( c_Event_Oevent_OSays @ SV1328 @ SV1494 @ SV1551 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3609]) ).
thf(3880,plain,
! [SV1495: $i,SV1329: $i,SV988: $i,SV506: $i] :
( ( ( ( c_Set_Oimage @ SV506 @ SV988 @ SV1329 @ SV1495 )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1495 @ tc_bool ) ) )
= $true )
| ( ( SV988
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1329 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3610]) ).
thf(3881,plain,
! [SV1552: $i,SV1496: $i,SV1334: $i,SV994: $i,SV513: $i] :
( ( ! [SY3769: $i] :
( ( ( c_Event_Oevent_OSays @ SV513 @ SV994 @ SV1334 )
!= ( c_Event_Oevent_OSays @ SV1496 @ SV1552 @ SY3769 ) )
| ( SV994 = SV1552 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3616]) ).
thf(3882,plain,
! [SV1336: $i,SV996: $i,SV515: $i] :
( ( ( ( c_Set_Oinsert @ SV515 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV996 @ tc_bool ) ) @ SV996 )
= ( c_Set_Oinsert @ SV1336 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV996 @ tc_bool ) ) @ SV996 ) )
= $false )
| ( ( SV515 = SV1336 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3618]) ).
thf(3883,plain,
! [SV1337: $i,SV997: $i,SV516: $i] :
( ( ( class_Lattices_Obounded__lattice @ SV516 )
= $false )
| ( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV997 @ SV1337 @ SV516 )
!= ( c_Orderings_Obot__class_Obot @ SV516 ) )
| ( SV997
= ( c_Orderings_Obot__class_Obot @ SV516 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3619]) ).
thf(3884,plain,
! [SV1497: $i,SV1338: $i,SV998: $i,SV517: $i] :
( ( ( ( c_Message_Omsg_OMPair @ SV517 @ SV998 )
!= ( c_Message_Omsg_OMPair @ SV1338 @ SV1497 ) )
= $true )
| ( ( SV998 = SV1497 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3620]) ).
thf(3885,plain,
! [SV1553: $i,SV1498: $i,SV1340: $i,SV1000: $i,SV519: $i] :
( ( ( c_Event_Oevent_OGets @ SV519 @ SV1000 )
!= ( c_Event_Oevent_OSays @ SV1340 @ SV1498 @ SV1553 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3622]) ).
thf(3886,plain,
! [SV1499: $i,SV1341: $i,SV1001: $i,SV520: $i] :
( ( ( ( c_Event_Oevent_ONotes @ SV520 @ SV1001 )
!= ( c_Event_Oevent_ONotes @ SV1341 @ SV1499 ) )
= $true )
| ( ( SV1001 = SV1499 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3623]) ).
thf(3887,plain,
! [SV1005: $i,SV525: $i,SV7: $i] :
( ( ( hBOOL @ ( c_in @ SV7 @ ( c_HOL_Ouminus__class_Ouminus @ SV525 @ ( tc_fun @ SV1005 @ tc_bool ) ) @ SV1005 ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV7 @ SV525 @ SV1005 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3625]) ).
thf(3888,plain,
! [SV1007: $i,SV9: $i,SV527: $i] :
( ( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV527 @ SV9 ) @ SV1007 @ SV9 )
= $true )
| ( ( ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV1007 @ SV9 ) @ SV527 @ SV9 ) )
= $true )
| ( ( class_OrderedGroup_Opordered__ab__group__add @ SV9 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3626]) ).
thf(3889,plain,
! [SV1008: $i,SV10: $i,SV528: $i] :
( ( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV528 @ SV10 ) @ SV1008 @ SV10 )
= $true )
| ( ( ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV1008 @ SV10 ) @ SV528 @ SV10 ) )
= $true )
| ( ( class_OrderedGroup_Opordered__ab__group__add @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3627]) ).
thf(3890,plain,
! [SV11: $i,SV1009: $i,SV529: $i] :
( ( ( c_lessequals @ SV529 @ ( c_HOL_Ouminus__class_Ouminus @ SV1009 @ SV11 ) @ SV11 )
= $true )
| ( ( ~ ( c_lessequals @ SV1009 @ ( c_HOL_Ouminus__class_Ouminus @ SV529 @ SV11 ) @ SV11 ) )
= $true )
| ( ( class_OrderedGroup_Opordered__ab__group__add @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3628]) ).
thf(3891,plain,
! [SV12: $i,SV1010: $i,SV530: $i] :
( ( ( c_lessequals @ SV530 @ ( c_HOL_Ouminus__class_Ouminus @ SV1010 @ SV12 ) @ SV12 )
= $true )
| ( ( ~ ( c_lessequals @ SV1010 @ ( c_HOL_Ouminus__class_Ouminus @ SV530 @ SV12 ) @ SV12 ) )
= $true )
| ( ( class_OrderedGroup_Opordered__ab__group__add @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3629]) ).
thf(3892,plain,
! [SV542: $i,SV25: $i] :
( ( ( hBOOL @ ( hAPP @ SV25 @ c_Public_Okeymode_OSignature ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV25 @ c_Public_Okeymode_OEncryption ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV25 @ SV542 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3630]) ).
thf(3893,plain,
! [SV26: $i,SV1011: $i,SV543: $i] :
( ( ( c_lessequals @ SV543 @ SV1011 @ SV26 )
= $true )
| ( ( ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV1011 @ SV26 ) @ ( c_HOL_Ouminus__class_Ouminus @ SV543 @ SV26 ) @ SV26 ) )
= $true )
| ( ( class_OrderedGroup_Opordered__ab__group__add @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3631]) ).
thf(3894,plain,
! [SV1012: $i,SV27: $i,SV544: $i] :
( ( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV544 @ SV27 ) @ ( c_HOL_Ouminus__class_Ouminus @ SV1012 @ SV27 ) @ SV27 )
= $true )
| ( ( ~ ( c_lessequals @ SV1012 @ SV544 @ SV27 ) )
= $true )
| ( ( class_OrderedGroup_Opordered__ab__group__add @ SV27 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3632]) ).
thf(3895,plain,
! [SV1016: $i,SV40: $i,SV552: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OGets @ SV552 @ SV40 ) @ ( c_List_Oset @ SV1016 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV552 @ ( c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1 @ SV552 @ SV40 @ SV1016 ) @ SV40 ) @ ( c_List_Oset @ SV1016 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV552 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( c_in @ SV40 @ ( c_Event_Oknows @ SV552 @ SV1016 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SV552 @ SV40 ) @ ( c_List_Oset @ SV1016 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV40 @ ( c_Event_OinitState @ SV552 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3636]) ).
thf(3896,plain,
! [SV1343: $i,SV554: $i,SV1018: $i,SV42: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV42 ) @ SV1018 ) ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV554 ) @ SV1343 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) )
= $false )
| ( ( SV42 = SV554 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3638]) ).
thf(3897,plain,
! [SV1019: $i,SV555: $i,SV43: $i] :
( ( ( hBOOL @ ( c_in @ SV43 @ SV555 @ tc_nat ) )
= $false )
| ( ( ~ ( c_lessequals @ SV555 @ ( c_HOL_Ouminus__class_Ouminus @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ ( tc_fun @ tc_nat @ tc_bool ) ) @ ( tc_fun @ tc_nat @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV1019 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV43 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV555 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1019 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3639]) ).
thf(3898,plain,
! [SV556: $i,SV1020: $i,SV44: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV44 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV1020 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV556 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1020 @ ( c_HOL_Ouminus__class_Ouminus @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ ( tc_fun @ tc_nat @ tc_bool ) ) @ ( tc_fun @ tc_nat @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV556 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV44 @ SV1020 @ tc_nat ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV44 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV556 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3640]) ).
thf(3899,plain,
! [SV557: $i,SV1021: $i,SV45: $i] :
( ( ( hBOOL @ ( c_in @ SV45 @ c_Message_OsymKeys @ tc_nat ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV45 @ SV1021 ) @ SV557 @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV45 @ ( c_Message_OkeysFor @ SV557 ) @ tc_nat ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3641]) ).
thf(3900,plain,
! [SV561: $i,SV1024: $i,SV49: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV49 ) @ ( c_Message_Oanalz @ SV1024 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV49 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV561 @ tc_nat @ tc_Message_Omsg ) @ SV1024 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV49 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV561 @ tc_nat @ tc_Message_Omsg ) @ SV1024 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3643]) ).
thf(3901,plain,
! [SV562: $i,SV1025: $i,SV50: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV50 ) @ ( c_Message_Oanalz @ SV1025 ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV50 ) @ ( c_Message_Oanalz @ SV1025 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV50 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV562 @ tc_nat @ tc_Message_Omsg ) @ SV1025 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3644]) ).
thf(3902,plain,
! [SV563: $i,SV1026: $i,SV51: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV51 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1026 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( c_lessequals @ SV563 @ ( c_HOL_Ouminus__class_Ouminus @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ ( tc_fun @ tc_nat @ tc_bool ) ) @ ( tc_fun @ tc_nat @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV1026 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV51 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV563 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1026 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3645]) ).
thf(3903,plain,
! [SV1029: $i,SV570: $i,SV62: $i] :
( ( ( c_lessequals @ SV62 @ ( c_Set_Oinsert @ SV570 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1029 @ tc_bool ) ) @ SV1029 ) @ ( tc_fun @ SV1029 @ tc_bool ) )
= $false )
| ( ( SV62
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1029 @ tc_bool ) ) )
= $true )
| ( ( SV62
= ( c_Set_Oinsert @ SV570 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1029 @ tc_bool ) ) @ SV1029 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3647]) ).
thf(3904,plain,
! [SV83: $i,SV1035: $i,SV589: $i] :
( ( ( hBOOL @ ( c_in @ SV589 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1035 @ tc_bool ) ) @ SV1035 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV83 @ SV589 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3649]) ).
thf(3905,plain,
! [SV596: $i,SV1038: $i,SV91: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV91 ) @ ( c_Message_Oanalz @ SV1038 ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV91 @ SV596 @ tc_nat ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV91 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV596 @ tc_nat @ tc_Message_Omsg ) @ SV1038 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3650]) ).
thf(3906,plain,
! [SV1039: $i,SV597: $i,SV92: $i] :
( ( ( hBOOL @ ( c_in @ SV92 @ SV597 @ tc_nat ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV92 ) @ ( c_Message_Oanalz @ SV1039 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV92 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV597 @ tc_nat @ tc_Message_Omsg ) @ SV1039 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3651]) ).
thf(3907,plain,
! [SV1040: $i,SV598: $i,SV93: $i] :
( ( ( hBOOL @ ( c_in @ SV93 @ SV598 @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV93 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV598 @ tc_nat @ tc_Message_Omsg ) @ SV1040 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV93 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV598 @ tc_nat @ tc_Message_Omsg ) @ SV1040 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3652]) ).
thf(3908,plain,
! [SV1041: $i,SV599: $i,SV94: $i] :
( ( ( hBOOL @ ( c_in @ SV94 @ SV599 @ tc_nat ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV94 @ SV599 @ tc_nat ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV94 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV599 @ tc_nat @ tc_Message_Omsg ) @ SV1041 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3653]) ).
thf(3909,plain,
! [SV603: $i,SV1344: $i,SV98: $i,SV1043: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV1043 ) @ SV98 ) ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV1344 ) @ SV603 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV98 @ SV603 @ tc_Message_Oagent ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3654]) ).
thf(3910,plain,
! [SV100: $i,SV605: $i,SV1045: $i] :
( ( ( hBOOL @ ( c_in @ SV1045 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV605 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV100 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV1045 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV100 @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV605 ) ) @ ( c_Message_Oparts @ SV605 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3656]) ).
thf(3911,plain,
! [SV1346: $i,SV609: $i,SV1048: $i,SV104: $i] :
( ( ( hBOOL @ ( c_in @ SV104 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1048 @ SV609 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) ) @ tc_nat ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1346 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV609 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV104 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV1346 @ SV1048 @ tc_Message_Omsg ) ) ) @ tc_nat ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV104 ) ) @ ( c_Message_Oparts @ SV609 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3657]) ).
thf(3912,plain,
! [SV105: $i,SV610: $i] :
( ( ( hBOOL @ ( c_in @ SV610 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV105 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV105 ) @ ( c_Event_Oused @ SV610 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV105 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV610 ) ) ) @ tc_nat ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3658]) ).
thf(3913,plain,
! [SV1502: $i,SV1349: $i,SV1051: $i,SV613: $i,SV108: $i] :
( ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV108 @ SV613 @ ( tc_fun @ SV1051 @ tc_bool ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1349 @ SV1502 @ ( tc_fun @ SV1051 @ tc_bool ) ) @ ( tc_fun @ SV1051 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV613 @ SV1502 @ ( tc_fun @ SV1051 @ tc_bool ) )
| ~ ( c_lessequals @ SV108 @ SV1349 @ ( tc_fun @ SV1051 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3661]) ).
thf(3914,plain,
! [SV1350: $i,SV1052: $i,SV617: $i,SV112: $i] :
( ( ( class_Lattices_Oupper__semilattice @ SV112 )
= $false )
| ( ( ( c_lessequals @ SV617 @ SV1052 @ SV112 )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1350 @ SV617 @ SV112 ) @ SV1052 @ SV112 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3662]) ).
thf(3915,plain,
! [SV1351: $i,SV1053: $i,SV618: $i,SV113: $i] :
( ( ( class_Lattices_Oupper__semilattice @ SV113 )
= $false )
| ( ( ( c_lessequals @ SV618 @ SV1053 @ SV113 )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV618 @ SV1351 @ SV113 ) @ SV1053 @ SV113 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3663]) ).
thf(3916,plain,
! [SV1352: $i,SV1054: $i,SV619: $i,SV114: $i] :
( ( ( class_Lattices_Oupper__semilattice @ SV114 )
= $false )
| ( ( ( c_lessequals @ SV619 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1054 @ SV1352 @ SV114 ) @ SV114 )
| ~ ( c_lessequals @ SV619 @ SV1352 @ SV114 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3664]) ).
thf(3917,plain,
! [SV1353: $i,SV1055: $i,SV620: $i,SV115: $i] :
( ( ( class_Lattices_Oupper__semilattice @ SV115 )
= $false )
| ( ( ( c_lessequals @ SV620 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1055 @ SV1353 @ SV115 ) @ SV115 )
| ~ ( c_lessequals @ SV620 @ SV1055 @ SV115 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3665]) ).
thf(3918,plain,
! [SV1354: $i,SV1056: $i,SV621: $i,SV116: $i] :
( ( ( class_Lattices_Oupper__semilattice @ SV116 )
= $false )
| ( ( ( c_lessequals @ SV621 @ SV1056 @ SV116 )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1354 @ SV621 @ SV116 ) @ SV1056 @ SV116 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3666]) ).
thf(3919,plain,
! [SV1355: $i,SV1057: $i,SV622: $i,SV117: $i] :
( ( ( class_Lattices_Oupper__semilattice @ SV117 )
= $false )
| ( ( ( c_lessequals @ SV622 @ SV1057 @ SV117 )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV622 @ SV1355 @ SV117 ) @ SV1057 @ SV117 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3667]) ).
thf(3920,plain,
! [SV623: $i,SV1058: $i,SV1356: $i,SV118: $i] :
( ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV118 @ SV1356 @ ( tc_fun @ SV1058 @ tc_bool ) ) @ SV623 @ ( tc_fun @ SV1058 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV118 @ SV623 @ ( tc_fun @ SV1058 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3668]) ).
thf(3921,plain,
! [SV624: $i,SV1059: $i,SV119: $i,SV1357: $i] :
( ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1357 @ SV119 @ ( tc_fun @ SV1059 @ tc_bool ) ) @ SV624 @ ( tc_fun @ SV1059 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV119 @ SV624 @ ( tc_fun @ SV1059 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3669]) ).
thf(3922,plain,
! [SV1358: $i,SV1060: $i,SV625: $i,SV120: $i] :
( ( ( class_Orderings_Oorder @ SV120 )
= $false )
| ( ( ( c_lessequals @ SV625 @ SV1060 @ SV120 )
| ~ ( c_lessequals @ SV625 @ SV1358 @ SV120 )
| ~ ( c_lessequals @ SV1358 @ SV1060 @ SV120 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3670]) ).
thf(3923,plain,
! [SV1359: $i,SV1061: $i,SV626: $i,SV121: $i] :
( ( ( class_Orderings_Opreorder @ SV121 )
= $false )
| ( ( ( c_lessequals @ SV626 @ SV1061 @ SV121 )
| ~ ( c_lessequals @ SV1359 @ SV1061 @ SV121 )
| ~ ( c_lessequals @ SV626 @ SV1359 @ SV121 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3671]) ).
thf(3924,plain,
! [SV124: $i,SV1062: $i,SV629: $i,SV1360: $i] :
( ( ( ~ ( c_lessequals @ SV1360 @ SV629 @ ( tc_fun @ SV1062 @ tc_bool ) ) )
= $true )
| ( ( ~ ( c_lessequals @ SV124 @ SV1360 @ ( tc_fun @ SV1062 @ tc_bool ) ) )
= $true )
| ( ( c_lessequals @ SV124 @ SV629 @ ( tc_fun @ SV1062 @ tc_bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3672]) ).
thf(3925,plain,
! [SV1361: $i,SV125: $i,SV630: $i,SV1063: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV1063 @ SV630 ) ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1063 @ SV125 @ ( tc_fun @ SV1361 @ tc_bool ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV125 @ SV630 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3673]) ).
thf(3926,plain,
! [SV633: $i,SV1362: $i,SV128: $i,SV1064: $i] :
( ( ( ~ ( c_lessequals @ SV1064 @ SV128 @ ( tc_fun @ SV1362 @ tc_bool ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV1064 @ SV633 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV128 @ SV633 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3674]) ).
thf(3927,plain,
! [SV1503: $i,SV1363: $i,SV1065: $i,SV634: $i,SV129: $i] :
( ( ( c_lessequals @ ( c_Set_Oimage @ SV129 @ SV634 @ SV1065 @ SV1363 ) @ ( c_Set_Oimage @ SV129 @ SV1503 @ SV1065 @ SV1363 ) @ ( tc_fun @ SV1363 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV634 @ SV1503 @ ( tc_fun @ SV1065 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3675]) ).
thf(3928,plain,
! [SV1504: $i,SV1364: $i,SV1066: $i,SV635: $i,SV130: $i] :
( ( ( ~ ( c_lessequals @ SV130 @ SV635 @ ( tc_fun @ SV1066 @ tc_bool ) ) )
= $true )
| ( ( c_lessequals @ ( c_Set_Oimage @ SV1364 @ SV130 @ SV1066 @ SV1504 ) @ ( c_Set_Oimage @ SV1364 @ SV635 @ SV1066 @ SV1504 ) @ ( tc_fun @ SV1504 @ tc_bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3676]) ).
thf(3929,plain,
! [SV131: $i,SV1067: $i,SV1365: $i,SV636: $i] :
( ( ( c_lessequals @ SV636 @ SV1365 @ ( tc_fun @ SV1067 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ ( c_Set_Oinsert @ SV131 @ SV636 @ SV1067 ) @ ( c_Set_Oinsert @ SV131 @ SV1365 @ SV1067 ) @ ( tc_fun @ SV1067 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3677]) ).
thf(3930,plain,
! [SV1069: $i,SV133: $i,SV1367: $i,SV638: $i] :
( ( ( ~ ( c_lessequals @ ( c_Message_Oanalz @ SV638 ) @ ( c_Message_Oanalz @ SV1367 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true )
| ( ( ~ ( c_lessequals @ ( c_Message_Oanalz @ SV133 ) @ ( c_Message_Oanalz @ SV1069 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true )
| ( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV133 @ SV638 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1069 @ SV1367 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3679]) ).
thf(3931,plain,
! [SV135: $i,SV1070: $i,SV639: $i] :
( ( ( c_lessequals @ SV639 @ SV1070 @ SV135 )
= $true )
| ( ( c_lessequals @ SV1070 @ SV639 @ SV135 )
= $true )
| ( ( class_Orderings_Olinorder @ SV135 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3680]) ).
thf(3932,plain,
! [SV1073: $i,SV642: $i,SV1368: $i,SV139: $i] :
( ( ( ~ ( c_lessequals @ SV139 @ ( c_Set_Oinsert @ SV1368 @ SV642 @ SV1073 ) @ ( tc_fun @ SV1073 @ tc_bool ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1368 @ SV139 @ SV1073 ) )
= $true )
| ( ( c_lessequals @ SV139 @ SV642 @ ( tc_fun @ SV1073 @ tc_bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3682]) ).
thf(3933,plain,
! [SV643: $i,SV1369: $i,SV1074: $i,SV140: $i] :
( ( ( ~ ( c_lessequals @ SV140 @ SV1074 @ ( tc_fun @ SV1369 @ tc_bool ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV643 @ SV140 @ SV1369 ) )
= $true )
| ( ( c_lessequals @ SV140 @ ( c_Set_Oinsert @ SV643 @ SV1074 @ SV1369 ) @ ( tc_fun @ SV1369 @ tc_bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3683]) ).
thf(3934,plain,
! [SV644: $i,SV1075: $i,SV141: $i,SV1370: $i] :
( ( ( hBOOL @ ( c_in @ SV1370 @ SV141 @ SV1075 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV141 @ ( c_Set_Oinsert @ SV1370 @ SV644 @ SV1075 ) @ ( tc_fun @ SV1075 @ tc_bool ) ) )
= $true )
| ( ( c_lessequals @ SV141 @ SV644 @ ( tc_fun @ SV1075 @ tc_bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3684]) ).
thf(3935,plain,
! [SV645: $i,SV1371: $i,SV1076: $i,SV142: $i] :
( ( ( ~ ( c_lessequals @ SV142 @ SV1076 @ ( tc_fun @ SV1371 @ tc_bool ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV645 @ SV142 @ SV1371 ) )
= $true )
| ( ( c_lessequals @ SV142 @ ( c_Set_Oinsert @ SV645 @ SV1076 @ SV1371 ) @ ( tc_fun @ SV1371 @ tc_bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3685]) ).
thf(3936,plain,
! [SV1506: $i,SV1372: $i,SV1077: $i,SV646: $i,SV143: $i] :
( ( ( ( c_Set_Oinsert @ ( hAPP @ SV143 @ SV646 ) @ ( c_Set_Oimage @ SV143 @ SV1077 @ SV1372 @ SV1506 ) @ SV1506 )
= ( c_Set_Oimage @ SV143 @ SV1077 @ SV1372 @ SV1506 ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV646 @ SV1077 @ SV1372 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3686]) ).
thf(3937,plain,
! [SV647: $i,SV1078: $i,SV1373: $i,SV144: $i] :
( ( ( c_lessequals @ ( c_Set_Oinsert @ SV144 @ SV1373 @ SV1078 ) @ SV647 @ ( tc_fun @ SV1078 @ tc_bool ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV144 @ SV647 @ SV1078 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3687]) ).
thf(3938,plain,
! [SV145: $i,SV1079: $i,SV1374: $i,SV648: $i] :
( ( ( ~ ( c_lessequals @ SV648 @ SV1374 @ ( tc_fun @ SV1079 @ tc_bool ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV145 @ SV1374 @ SV1079 ) ) )
= $true )
| ( ( c_lessequals @ ( c_Set_Oinsert @ SV145 @ SV648 @ SV1079 ) @ SV1374 @ ( tc_fun @ SV1079 @ tc_bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3688]) ).
thf(3939,plain,
! [SV652: $i,SV1083: $i,SV149: $i] :
( ( ( hBOOL @ ( c_in @ SV149 @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1083 @ SV652 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV149 @ ( c_Message_Oparts @ SV1083 ) @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV149 @ ( c_Message_Oparts @ SV652 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3691]) ).
thf(3940,plain,
! [SV150: $i,SV653: $i,SV1084: $i] :
( ( ( c_lessequals @ SV1084 @ ( c_Message_Oparts @ SV653 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV150 @ ( c_Message_Oparts @ SV1084 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV150 @ ( c_Message_Oparts @ SV653 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3692]) ).
thf(3941,plain,
! [SV152: $i,SV655: $i,SV1086: $i] :
( ( ( c_lessequals @ SV1086 @ ( c_Message_Oanalz @ SV655 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV152 @ ( c_Message_Oanalz @ SV1086 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV152 @ ( c_Message_Oanalz @ SV655 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3694]) ).
thf(3942,plain,
! [SV153: $i,SV656: $i,SV1087: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1087 ) @ ( c_Message_Oanalz @ SV656 ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV1087 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1087 @ SV153 ) @ ( c_Message_Oanalz @ SV656 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV153 @ ( c_Message_Oanalz @ SV656 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3695]) ).
thf(3943,plain,
! [SV155: $i,SV657: $i,SV1088: $i] :
( ( ( c_lessequals @ SV1088 @ ( c_Message_Osynth @ SV657 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV155 @ ( c_Message_Osynth @ SV1088 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV155 @ ( c_Message_Osynth @ SV657 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3696]) ).
thf(3944,plain,
! [SV667: $i,SV167: $i,SV1092: $i,SV1375: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV1375 @ ( c_Message_Oparts @ SV1092 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV167 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV1375 @ SV667 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV167 @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV667 @ SV1092 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3698]) ).
thf(3945,plain,
! [SV168: $i,SV668: $i,SV1093: $i] :
( ( ( c_lessequals @ SV1093 @ SV668 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV168 @ ( c_Message_Oanalz @ SV1093 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV168 @ SV668 @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ SV668 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3699]) ).
thf(3946,plain,
! [SV674: $i,SV1096: $i,SV174: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV174 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV1096 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV674 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ SV1096 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV674 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( SV174 = SV1096 )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV174 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV674 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3701]) ).
thf(3947,plain,
! [SV675: $i,SV1097: $i,SV175: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV175 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1097 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( ( hBOOL @ ( c_in @ SV675 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV1097 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV175 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV675 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1097 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3702]) ).
thf(3948,plain,
! [SV1554: $i,SV1508: $i,SV1379: $i,SV1101: $i,SV679: $i,SV179: $i] :
( ( ! [SY3770: $i] :
( ~ ( hBOOL @ ( c_in @ SV179 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV679 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1101 @ ( c_Message_Omsg_OCrypt @ SV1379 @ ( c_Message_Omsg_OMPair @ SV1508 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1554 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV179 ) @ SY3770 ) ) ) ) ) @ ( c_List_Oset @ SV679 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3704]) ).
thf(3949,plain,
! [SV682: $i,SV182: $i,SV1380: $i,SV1103: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1103 @ SV1380 @ SV182 ) @ ( c_List_Oset @ SV682 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV182 @ ( c_Event_Oused @ SV682 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3705]) ).
thf(3950,plain,
! [SV1555: $i,SV1509: $i,SV1381: $i,SV1104: $i,SV683: $i,SV183: $i] :
( ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV183 @ SV683 @ ( c_Message_Omsg_OCrypt @ SV1104 @ ( c_Message_Omsg_ONonce @ SV1381 ) ) ) @ SV1509 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1555 @ SV183 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV183 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1104 ) @ ( c_Message_Omsg_OAgent @ SV683 ) ) ) ) @ ( c_List_Oset @ SV1509 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1104 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1381 ) @ ( c_Event_Oused @ SV1509 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1509 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3706]) ).
thf(3951,plain,
! [SV1556: $i,SV1510: $i,SV1383: $i,SV1109: $i,SV688: $i,SV188: $i] :
( ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV188 @ SV688 @ ( c_Message_Omsg_OCrypt @ SV1109 @ ( c_Message_Omsg_ONonce @ SV1383 ) ) ) @ SV1510 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1556 @ SV188 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV188 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1109 ) @ ( c_Message_Omsg_OAgent @ SV688 ) ) ) ) @ ( c_List_Oset @ SV1510 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1109 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1383 ) @ ( c_Event_Oused @ SV1510 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1510 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3708]) ).
thf(3952,plain,
! [SV1557: $i,SV1511: $i,SV1384: $i,SV1110: $i,SV689: $i,SV189: $i] :
( ( ~ ( hBOOL @ ( c_in @ SV189 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV689 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SV1110 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1110 ) @ ( c_Message_Omsg_OMPair @ SV1384 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1511 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV189 ) @ SV1557 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV689 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3709]) ).
thf(3953,plain,
! [SV192: $i,SV1113: $i,SV692: $i] :
( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV692 @ SV1113 @ SV192 )
= SV1113 )
= $true )
| ( ( ~ ( c_lessequals @ SV692 @ SV1113 @ SV192 ) )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV192 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3712]) ).
thf(3954,plain,
! [SV193: $i,SV1114: $i,SV693: $i] :
( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV693 @ SV1114 @ SV193 )
= SV693 )
= $true )
| ( ( ~ ( c_lessequals @ SV1114 @ SV693 @ SV193 ) )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV193 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3713]) ).
thf(3955,plain,
! [SV194: $i,SV1115: $i,SV694: $i] :
( ( ( SV694 = SV1115 )
= $true )
| ( ( ~ ( c_lessequals @ SV694 @ SV1115 @ SV194 )
| ~ ( c_lessequals @ SV1115 @ SV694 @ SV194 ) )
= $true )
| ( ( class_Orderings_Oorder @ SV194 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3714]) ).
thf(3956,plain,
! [SV195: $i,SV1116: $i,SV695: $i] :
( ( ( SV695 = SV1116 )
= $true )
| ( ( ~ ( c_lessequals @ SV1116 @ SV695 @ SV195 )
| ~ ( c_lessequals @ SV695 @ SV1116 @ SV195 ) )
= $true )
| ( ( class_Orderings_Oorder @ SV195 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3715]) ).
thf(3957,plain,
! [SV196: $i,SV1117: $i,SV696: $i] :
( ( ( SV696 = SV1117 )
= $true )
| ( ( ~ ( c_lessequals @ SV1117 @ SV696 @ SV196 )
| ~ ( c_lessequals @ SV696 @ SV1117 @ SV196 ) )
= $true )
| ( ( class_Orderings_Oorder @ SV196 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3716]) ).
thf(3958,plain,
! [SV1118: $i,SV197: $i,SV697: $i] :
( ( ( c_lessequals @ SV697 @ SV197 @ ( tc_fun @ SV1118 @ tc_bool ) )
= $false )
| ( ( ~ ( c_lessequals @ SV197 @ SV697 @ ( tc_fun @ SV1118 @ tc_bool ) ) )
= $true )
| ( ( SV197 = SV697 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3717]) ).
thf(3959,plain,
! [SV1119: $i,SV198: $i,SV698: $i] :
( ( ( c_lessequals @ SV698 @ SV198 @ ( tc_fun @ SV1119 @ tc_bool ) )
= $false )
| ( ( ~ ( c_lessequals @ SV198 @ SV698 @ ( tc_fun @ SV1119 @ tc_bool ) ) )
= $true )
| ( ( SV198 = SV698 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3718]) ).
thf(3960,plain,
! [SV1120: $i,SV702: $i,SV1385: $i,SV205: $i] :
( ( ( hBOOL @ ( hAPP @ SV205 @ SV1385 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV205 @ SV702 @ ( tc_fun @ SV1120 @ tc_bool ) ) @ SV1385 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3719]) ).
thf(3961,plain,
! [SV1121: $i,SV206: $i,SV1386: $i,SV703: $i] :
( ( ( hBOOL @ ( hAPP @ SV703 @ SV1386 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV206 @ SV703 @ ( tc_fun @ SV1121 @ tc_bool ) ) @ SV1386 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3720]) ).
thf(3962,plain,
! [SV1387: $i,SV207: $i,SV704: $i,SV1122: $i] :
( ( ( hBOOL @ ( hAPP @ SV1122 @ SV704 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1122 @ SV207 @ ( tc_fun @ SV1387 @ tc_bool ) ) @ SV704 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV207 @ SV704 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3721]) ).
thf(3963,plain,
! [SV715: $i,SV1391: $i,SV220: $i,SV1128: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV1128 ) @ SV220 ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV1391 ) @ SV715 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV220 @ SV715 @ tc_Message_Oagent ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3724]) ).
thf(3964,plain,
! [SV1392: $i,SV716: $i,SV1129: $i,SV221: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV221 ) @ SV1129 ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV716 ) @ SV1392 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
= $false )
| ( ( SV221 = SV716 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3725]) ).
thf(3965,plain,
! [SV717: $i,SV1393: $i,SV1130: $i,SV222: $i] :
( ( ( c_lessequals @ SV222 @ SV1130 @ ( tc_fun @ SV1393 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV222 @ ( c_Set_Oinsert @ SV717 @ SV1130 @ SV1393 ) @ ( tc_fun @ SV1393 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3726]) ).
thf(3966,plain,
! [SV718: $i,SV1131: $i,SV223: $i,SV1394: $i] :
( ( ( c_lessequals @ ( c_Set_Oinsert @ SV1394 @ SV223 @ SV1131 ) @ SV718 @ ( tc_fun @ SV1131 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV223 @ SV718 @ ( tc_fun @ SV1131 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3727]) ).
thf(3967,plain,
! [SV1558: $i,SV1512: $i,SV1395: $i,SV1132: $i,SV720: $i,SV225: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ SV225 @ SV720 ) @ SV1132 @ SV1395 ) )
| ~ ( hBOOL @ ( c_in @ SV720 @ SV1512 @ SV1558 ) )
| ~ ( c_lessequals @ ( c_Set_Oimage @ SV225 @ SV1512 @ SV1558 @ SV1395 ) @ SV1132 @ ( tc_fun @ SV1395 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3728]) ).
thf(3968,plain,
! [SV1399: $i,SV1138: $i,SV730: $i,SV235: $i] :
( ( ( class_Lattices_Oupper__semilattice @ SV235 )
= $false )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV730 @ SV1138 @ SV235 ) @ SV1399 @ SV235 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV730 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1138 @ SV1399 @ SV235 ) @ SV235 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3730]) ).
thf(3969,plain,
! [SV1400: $i,SV1139: $i,SV731: $i,SV236: $i] :
( ( ( class_Lattices_Oupper__semilattice @ SV236 )
= $false )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV731 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1139 @ SV1400 @ SV236 ) @ SV236 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV1139 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV731 @ SV1400 @ SV236 ) @ SV236 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3731]) ).
thf(3970,plain,
! [SV1402: $i,SV1141: $i,SV733: $i,SV238: $i] :
( ( ( class_Lattices_Olattice @ SV238 )
= $false )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV733 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1141 @ SV1402 @ SV238 ) @ SV238 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV1141 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV733 @ SV1402 @ SV238 ) @ SV238 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3732]) ).
thf(3971,plain,
! [SV1403: $i,SV1142: $i,SV734: $i,SV239: $i] :
( ( ( class_Lattices_Olattice @ SV239 )
= $false )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV734 @ SV1142 @ SV239 ) @ SV1403 @ SV239 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV734 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1142 @ SV1403 @ SV239 ) @ SV239 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3733]) ).
thf(3972,plain,
! [SV240: $i,SV1143: $i,SV1404: $i,SV735: $i] :
( ( ( ~ ( c_lessequals @ SV735 @ SV1404 @ ( tc_fun @ SV1143 @ tc_bool ) ) )
= $true )
| ( ( ~ ( c_lessequals @ SV240 @ SV1404 @ ( tc_fun @ SV1143 @ tc_bool ) ) )
= $true )
| ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV240 @ SV735 @ ( tc_fun @ SV1143 @ tc_bool ) ) @ SV1404 @ ( tc_fun @ SV1143 @ tc_bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3734]) ).
thf(3973,plain,
! [SV243: $i,SV1146: $i,SV1405: $i,SV738: $i] :
( ( ( ~ ( c_lessequals @ SV738 @ SV1405 @ ( tc_fun @ SV1146 @ tc_bool ) ) )
= $true )
| ( ( ~ ( c_lessequals @ SV243 @ SV1405 @ ( tc_fun @ SV1146 @ tc_bool ) ) )
= $true )
| ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV243 @ SV738 @ ( tc_fun @ SV1146 @ tc_bool ) ) @ SV1405 @ ( tc_fun @ SV1146 @ tc_bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3735]) ).
thf(3974,plain,
! [SV1406: $i,SV1147: $i,SV739: $i,SV244: $i] :
( ( ( class_Lattices_Oupper__semilattice @ SV244 )
= $false )
| ( ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV739 @ SV1147 @ SV244 ) @ SV1406 @ SV244 )
| ~ ( c_lessequals @ SV1147 @ SV1406 @ SV244 )
| ~ ( c_lessequals @ SV739 @ SV1406 @ SV244 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3736]) ).
thf(3975,plain,
! [SV1407: $i,SV1150: $i,SV742: $i,SV247: $i] :
( ( ( class_Lattices_Oupper__semilattice @ SV247 )
= $false )
| ( ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV742 @ SV1150 @ SV247 ) @ SV1407 @ SV247 )
| ~ ( c_lessequals @ SV1150 @ SV1407 @ SV247 )
| ~ ( c_lessequals @ SV742 @ SV1407 @ SV247 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3739]) ).
thf(3976,plain,
! [SV1408: $i,SV1151: $i,SV743: $i,SV248: $i] :
( ( ( class_Lattices_Oupper__semilattice @ SV248 )
= $false )
| ( ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV743 @ SV1151 @ SV248 ) @ SV1408 @ SV248 )
| ~ ( c_lessequals @ SV1151 @ SV1408 @ SV248 )
| ~ ( c_lessequals @ SV743 @ SV1408 @ SV248 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3740]) ).
thf(3977,plain,
! [SV1514: $i,SV1410: $i,SV1162: $i,SV757: $i,SV262: $i] :
( ( ( ~ ( class_HOL_Oord @ SV262 ) )
= $true )
| ( ( ( c_lessequals @ ( hAPP @ SV757 @ SV1162 ) @ ( hAPP @ SV1410 @ SV1162 ) @ SV262 )
| ~ ( c_lessequals @ SV757 @ SV1410 @ ( tc_fun @ SV1514 @ SV262 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3748]) ).
thf(3978,plain,
! [SV759: $i,SV1163: $i,SV1411: $i,SV264: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV264 @ SV1411 @ SV1163 ) ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1411 @ SV759 @ ( tc_fun @ SV1163 @ tc_bool ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV264 @ SV759 @ SV1163 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3749]) ).
thf(3979,plain,
! [SV265: $i,SV1164: $i,SV760: $i,SV1412: $i] :
( ( ( ~ ( c_lessequals @ SV1412 @ SV760 @ ( tc_fun @ SV1164 @ tc_bool ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV265 @ SV1412 @ SV1164 ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV265 @ SV760 @ SV1164 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3750]) ).
thf(3980,plain,
! [SV761: $i,SV1165: $i,SV1413: $i,SV266: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV266 @ SV1413 @ SV1165 ) ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1413 @ SV761 @ ( tc_fun @ SV1165 @ tc_bool ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV266 @ SV761 @ SV1165 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3751]) ).
thf(3981,plain,
! [SV762: $i,SV1166: $i,SV1414: $i,SV267: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV267 @ SV1414 @ SV1166 ) ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1414 @ SV762 @ ( tc_fun @ SV1166 @ tc_bool ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV267 @ SV762 @ SV1166 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3752]) ).
thf(3982,plain,
! [SV1167: $i,SV1415: $i,SV763: $i,SV268: $i] :
( ( ( hBOOL @ ( c_in @ SV268 @ SV763 @ SV1415 ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV268 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV763 @ SV1167 @ ( tc_fun @ SV1415 @ tc_bool ) ) @ SV1415 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3753]) ).
thf(3983,plain,
! [SV764: $i,SV1416: $i,SV1168: $i,SV269: $i] :
( ( ( hBOOL @ ( c_in @ SV269 @ SV1168 @ SV1416 ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV269 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV764 @ SV1168 @ ( tc_fun @ SV1416 @ tc_bool ) ) @ SV1416 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3754]) ).
thf(3984,plain,
! [SV765: $i,SV1169: $i,SV1417: $i,SV270: $i] :
( ( ( hBOOL @ ( c_in @ SV270 @ SV1417 @ SV1169 ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV270 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1417 @ SV765 @ ( tc_fun @ SV1169 @ tc_bool ) ) @ SV1169 ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV270 @ SV765 @ SV1169 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3755]) ).
thf(3985,plain,
! [SV1515: $i,SV1418: $i,SV1170: $i,SV767: $i,SV272: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV272 @ SV767 @ SV1170 ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ SV1418 @ SV272 ) @ ( c_Set_Oimage @ SV1418 @ SV767 @ SV1170 @ SV1515 ) @ SV1515 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3756]) ).
thf(3986,plain,
! [SV1516: $i,SV1419: $i,SV1171: $i,SV768: $i,SV273: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV273 @ SV768 @ SV1171 ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ SV1419 @ SV273 ) @ ( c_Set_Oimage @ SV1419 @ SV768 @ SV1171 @ SV1516 ) @ SV1516 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3757]) ).
thf(3987,plain,
! [SV1517: $i,SV1420: $i,SV1172: $i,SV769: $i,SV274: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ SV274 @ SV769 ) @ ( c_Set_Oimage @ SV274 @ SV1172 @ SV1420 @ SV1517 ) @ SV1517 ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV769 @ SV1172 @ SV1420 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3758]) ).
thf(3988,plain,
! [SV1518: $i,SV1421: $i,SV1173: $i,SV770: $i,SV275: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ SV275 @ SV770 ) @ ( c_Set_Oimage @ SV275 @ SV1173 @ SV1421 @ SV1518 ) @ SV1518 ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV770 @ SV1173 @ SV1421 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3759]) ).
thf(3989,plain,
! [SV1559: $i,SV1519: $i,SV1422: $i,SV1174: $i,SV780: $i,SV287: $i] :
( ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV287 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV287 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV780 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1174 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1422 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1174 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1422 ) @ ( c_Message_Omsg_OAgent @ SV287 ) ) ) ) ) ) ) ) @ SV1519 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1559 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV287 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1174 ) @ ( c_Message_Omsg_ONonce @ SV780 ) ) ) ) @ ( c_List_Oset @ SV1519 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1422 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1422 ) @ ( c_Event_Oused @ SV1519 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1519 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3760]) ).
thf(3990,plain,
! [SV1560: $i,SV1520: $i,SV1423: $i,SV1175: $i,SV781: $i,SV288: $i] :
( ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV288 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV288 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV781 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1175 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1423 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1175 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1423 ) @ ( c_Message_Omsg_OAgent @ SV288 ) ) ) ) ) ) ) ) @ SV1520 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1560 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV288 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1175 ) @ ( c_Message_Omsg_ONonce @ SV781 ) ) ) ) @ ( c_List_Oset @ SV1520 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1423 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1423 ) @ ( c_Event_Oused @ SV1520 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1520 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3761]) ).
thf(3991,plain,
! [SV289: $i,SV782: $i,SV1176: $i] :
( ( ( hBOOL @ ( c_in @ SV1176 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV782 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV289 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV1176 @ SV782 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV289 @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV782 ) ) @ ( c_Message_Oparts @ SV782 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3762]) ).
thf(3992,plain,
! [SV1424: $i,SV783: $i,SV1177: $i,SV290: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV290 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV1177 @ SV783 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1424 @ SV783 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV1177 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1424 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV290 ) @ ( c_Message_Oanalz @ SV783 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3763]) ).
thf(3993,plain,
! [SV784: $i,SV1425: $i,SV1178: $i,SV291: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV291 ) @ ( c_Message_Oanalz @ SV1178 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1425 @ SV1178 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV784 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1425 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV291 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV784 @ SV1178 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3764]) ).
thf(3994,plain,
! [SV1561: $i,SV1521: $i,SV1426: $i,SV1179: $i,SV785: $i,SV292: $i] :
( ( ! [SY3771: $i] :
( ( hBOOL @ ( c_in @ SV292 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV785 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1179 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV785 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1426 @ SV1521 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1521 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1561 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3771 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1179 ) @ SV292 ) ) ) ) ) @ ( c_List_Oset @ SV785 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3765]) ).
thf(3995,plain,
! [SV1562: $i,SV1522: $i,SV1427: $i,SV1180: $i,SV786: $i,SV293: $i] :
( ( ! [SY3772: $i,SY3773: $i,SY3774: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV293 @ SV786 @ ( c_Message_Omsg_OCrypt @ SV1180 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1427 ) @ ( c_Message_Omsg_ONonce @ SV1427 ) ) ) ) @ SV1522 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1562 @ SV293 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV293 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3772 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV786 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1180 ) @ SY3773 ) ) ) ) ) @ ( c_List_Oset @ SV1522 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3774 @ SV293 @ ( c_Message_Omsg_OCrypt @ SV1180 @ ( c_Message_Omsg_ONonce @ SV1427 ) ) ) @ ( c_List_Oset @ SV1522 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1180 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1522 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3766]) ).
thf(3996,plain,
! [SV1563: $i,SV1523: $i,SV1428: $i,SV1183: $i,SV789: $i,SV296: $i] :
( ( ! [SY3775: $i,SY3776: $i,SY3777: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV296 @ SV789 @ ( c_Message_Omsg_OCrypt @ SV1183 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1428 ) @ ( c_Message_Omsg_ONonce @ SV1428 ) ) ) ) @ SV1523 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1563 @ SV296 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV296 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3775 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV789 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1183 ) @ SY3776 ) ) ) ) ) @ ( c_List_Oset @ SV1523 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3777 @ SV296 @ ( c_Message_Omsg_OCrypt @ SV1183 @ ( c_Message_Omsg_ONonce @ SV1428 ) ) ) @ ( c_List_Oset @ SV1523 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1183 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV1523 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3769]) ).
thf(3997,plain,
! [SV790: $i,SV297: $i,SV1429: $i,SV1184: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1184 ) @ ( c_Event_Oused @ SV1429 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1429 ) ) )
= $true )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV297 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV297 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV790 ) @ ( c_Message_Omsg_ONonce @ SV1184 ) ) ) ) @ SV1429 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3770]) ).
thf(3998,plain,
! [SV791: $i,SV298: $i,SV1430: $i,SV1185: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1185 ) @ ( c_Event_Oused @ SV1430 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1430 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV298 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV298 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV791 ) @ ( c_Message_Omsg_ONonce @ SV1185 ) ) ) ) @ SV1430 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3771]) ).
thf(3999,plain,
! [SV301: $i,SV794: $i,SV1188: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV1188 ) ) @ ( c_Message_Oanalz @ SV794 ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1188 @ SV301 ) @ ( c_Message_Oanalz @ SV794 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV301 @ ( c_Message_Oanalz @ SV794 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3772]) ).
thf(4000,plain,
! [SV314: $i,SV807: $i,SV1196: $i] :
( ( ( hBOOL @ ( c_in @ SV1196 @ ( c_Message_Osynth @ SV807 ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV314 @ ( c_Message_Osynth @ ( c_Set_Oinsert @ SV1196 @ SV807 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV314 @ ( c_Message_Osynth @ SV807 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3774]) ).
thf(4001,plain,
! [SV324: $i,SV817: $i,SV1202: $i] :
( ( ( hBOOL @ ( c_in @ SV1202 @ ( c_Message_Oanalz @ SV817 ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV324 @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV1202 @ SV817 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV324 @ ( c_Message_Oanalz @ SV817 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3777]) ).
thf(4002,plain,
! [SV1213: $i,SV830: $i,SV1437: $i,SV340: $i] :
( ( ( SV340 = SV1437 )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV340 @ ( c_Set_Oinsert @ SV1437 @ SV830 @ SV1213 ) @ SV1213 ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV340 @ SV830 @ SV1213 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3783]) ).
thf(4003,plain,
! [SV831: $i,SV1438: $i,SV1214: $i,SV341: $i] :
( ( ( hBOOL @ ( c_in @ SV341 @ SV1214 @ SV1438 ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV341 @ ( c_Set_Oinsert @ SV831 @ SV1214 @ SV1438 ) @ SV1438 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3784]) ).
thf(4004,plain,
! [SV832: $i,SV1439: $i,SV1215: $i,SV342: $i] :
( ( ( hBOOL @ ( c_in @ SV342 @ SV1215 @ SV1439 ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV342 @ ( c_Set_Oinsert @ SV832 @ SV1215 @ SV1439 ) @ SV1439 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3785]) ).
thf(4005,plain,
! [SV1216: $i,SV343: $i,SV1440: $i,SV833: $i] :
( ( ( hBOOL @ ( hAPP @ SV833 @ SV1440 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV343 @ SV833 @ SV1216 ) @ SV1440 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3786]) ).
thf(4006,plain,
! [SV1442: $i,SV349: $i,SV839: $i,SV1221: $i] :
( ( ( SV1221 = SV839 )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV1221 @ SV349 @ SV1442 ) @ SV839 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV349 @ SV839 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3787]) ).
thf(4007,plain,
! [SV360: $i,SV1226: $i,SV848: $i] :
( ( ( hBOOL @ ( c_in @ SV848 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1226 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV360 ) ) @ ( c_Message_Oanalz @ SV1226 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV360 ) @ ( c_Message_Oanalz @ SV1226 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV360 @ SV848 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1226 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3789]) ).
thf(4008,plain,
! [SV849: $i,SV361: $i,SV1227: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1227 @ SV361 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV849 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV1227 ) ) @ ( c_Message_Oanalz @ SV849 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1227 ) @ ( c_Message_Oanalz @ SV849 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV361 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV849 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3790]) ).
thf(4009,plain,
! [SV1444: $i,SV1229: $i,SV851: $i,SV363: $i] :
( ( ( hBOOL @ ( c_in @ SV363 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV851 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV363 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV1229 @ SV1444 ) @ SV851 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3791]) ).
thf(4010,plain,
! [SV1230: $i,SV364: $i,SV852: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OGets @ SV852 @ SV364 ) @ ( c_List_Oset @ SV1230 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( SV852 = c_Message_Oagent_OSpy )
= $true )
| ( ( hBOOL @ ( c_in @ SV364 @ ( c_Event_Oknows @ SV852 @ SV1230 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3792]) ).
thf(4011,plain,
! [SV1564: $i,SV1525: $i,SV1445: $i,SV1231: $i,SV853: $i,SV365: $i] :
( ( ! [SY3778: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV365 @ SV853 @ SV1231 ) @ SV1445 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV365 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV365 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV853 ) @ ( c_Message_Omsg_ONonce @ SV1525 ) ) ) ) @ ( c_List_Oset @ SV1445 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1564 @ SV365 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV365 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1525 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV853 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3778 ) @ SV1231 ) ) ) ) ) @ ( c_List_Oset @ SV1445 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV365 = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1445 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3793]) ).
thf(4012,plain,
! [SV854: $i,SV366: $i,SV1446: $i,SV1232: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1232 @ SV1446 @ SV366 ) @ ( c_List_Oset @ SV854 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV366 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV854 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3794]) ).
thf(4013,plain,
! [SV1565: $i,SV1526: $i,SV1447: $i,SV1233: $i,SV855: $i,SV367: $i] :
( ( ! [SY3779: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV367 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV855 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV1233 ) ) ) ) @ SV1447 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1526 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1526 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV367 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1565 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1233 ) @ SY3779 ) ) ) ) ) @ ( c_List_Oset @ SV1447 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1565 @ SV1526 @ ( c_Message_Omsg_OCrypt @ SV1233 @ ( c_Message_Omsg_ONonce @ SV855 ) ) ) @ ( c_List_Oset @ SV1447 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1447 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3795]) ).
thf(4014,plain,
! [SV369: $i,SV1235: $i,SV857: $i] :
( ( ( hBOOL @ ( c_in @ SV857 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1235 ) ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1235 ) ) )
= $true )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ SV369 @ SV857 ) @ SV1235 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3797]) ).
thf(4015,plain,
! [SV1566: $i,SV1527: $i,SV1448: $i,SV1236: $i,SV858: $i,SV370: $i] :
( ( ! [SY3780: $i,SY3781: $i] :
( ( hBOOL @ ( c_in @ SV370 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV858 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1236 @ SV1448 @ ( c_Message_Omsg_OCrypt @ SV1527 @ ( c_Message_Omsg_OMPair @ SV1566 @ ( c_Message_Omsg_OMPair @ SY3780 @ ( c_Message_Omsg_OMPair @ SY3781 @ SV370 ) ) ) ) ) @ ( c_List_Oset @ SV858 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3798]) ).
thf(4016,plain,
! [SV371: $i,SV859: $i] :
( ( ( hBOOL @ ( c_in @ SV859 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV371 @ c_Event_Obad @ tc_Message_Oagent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV371 ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV859 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3799]) ).
thf(4017,plain,
! [SV372: $i,SV860: $i] :
( ( ( hBOOL @ ( c_in @ SV860 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV372 ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV860 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV372 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3800]) ).
thf(4018,plain,
! [SV1567: $i,SV1528: $i,SV1449: $i,SV1237: $i,SV861: $i,SV373: $i] :
( ( ( hBOOL @ ( c_in @ SV373 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV861 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1237 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1237 ) @ ( c_Message_Omsg_OMPair @ SV1449 @ ( c_Message_Omsg_OMPair @ SV1528 @ ( c_Message_Omsg_OMPair @ SV373 @ SV1567 ) ) ) ) ) @ ( c_List_Oset @ SV861 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3801]) ).
thf(4019,plain,
! [SV1568: $i,SV1529: $i,SV1450: $i,SV1238: $i,SV862: $i,SV374: $i] :
( ( ( SV374
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV862 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1238 ) @ ( c_Message_Omsg_OAgent @ SV1450 ) ) ) )
| ~ ( hBOOL @ ( c_in @ SV1529 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SV1450 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1450 ) @ ( c_Message_Omsg_OMPair @ SV1568 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV862 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1238 ) @ SV374 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1529 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3802]) ).
thf(4020,plain,
! [SV1569: $i,SV1530: $i,SV1451: $i,SV1239: $i,SV863: $i,SV375: $i] :
( ( ! [SY3782: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV375 @ SV863 @ SV1239 ) @ SV1451 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV375 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV375 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV863 ) @ ( c_Message_Omsg_ONonce @ SV1530 ) ) ) ) @ ( c_List_Oset @ SV1451 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1569 @ SV375 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV375 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1530 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV863 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3782 ) @ SV1239 ) ) ) ) ) @ ( c_List_Oset @ SV1451 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV375 = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_in @ SV1451 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3803]) ).
thf(4021,plain,
! [SV1570: $i,SV1531: $i,SV1452: $i,SV1240: $i,SV864: $i,SV376: $i] :
( ( ! [SY3783: $i] :
( ( hBOOL @ ( c_in @ SV376 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV864 ) ) @ tc_Message_Omsg ) )
| ( SV376
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1240 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1452 ) @ ( c_Message_Omsg_OAgent @ SV1531 ) ) ) )
| ~ ( hBOOL @ ( c_in @ SV864 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1570 @ SV1531 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1531 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3783 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1240 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1452 ) @ SV376 ) ) ) ) ) @ ( c_List_Oset @ SV864 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3804]) ).
thf(4022,plain,
! [SV1571: $i,SV1532: $i,SV1453: $i,SV1241: $i,SV865: $i,SV377: $i] :
( ( ! [SY3784: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV377 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV865 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV1241 ) ) ) ) @ SV1453 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1532 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1532 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV377 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1571 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1241 ) @ SY3784 ) ) ) ) ) @ ( c_List_Oset @ SV1453 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1571 @ SV1532 @ ( c_Message_Omsg_OCrypt @ SV1241 @ ( c_Message_Omsg_ONonce @ SV865 ) ) ) @ ( c_List_Oset @ SV1453 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1453 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3805]) ).
thf(4023,plain,
! [SV1572: $i,SV1533: $i,SV1454: $i,SV1242: $i,SV866: $i,SV378: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV378 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV378 ) @ ( c_Message_Omsg_OMPair @ SV866 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1242 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1454 ) @ SV1533 ) ) ) ) ) @ ( c_List_Oset @ SV1572 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1572 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SV378 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV378 ) @ ( c_Message_Omsg_OMPair @ SV866 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1242 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1454 ) @ SV1533 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1572 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3806]) ).
thf(4024,plain,
! [SV1243: $i,SV379: $i,SV1455: $i,SV867: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV867 @ SV1455 @ SV379 ) @ ( c_List_Oset @ SV1243 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV379 @ ( c_Event_Oknows @ SV867 @ SV1243 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3807]) ).
thf(4025,plain,
! [SV386: $i,SV1248: $i,SV873: $i] :
( ( ( hBOOL @ ( c_in @ SV873 @ ( c_Message_Osynth @ SV1248 ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV386 @ ( c_Message_Osynth @ SV1248 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV386 @ SV873 ) @ ( c_Message_Osynth @ SV1248 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3812]) ).
thf(4026,plain,
! [SV874: $i,SV387: $i,SV1456: $i,SV1249: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1249 @ SV1456 @ SV387 ) @ ( c_List_Oset @ SV874 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV387 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV874 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3813]) ).
thf(4027,plain,
! [SV388: $i,SV1250: $i,SV875: $i] :
( ( ( hBOOL @ ( c_in @ SV875 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1250 ) ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV1250 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ SV388 @ SV875 ) @ SV1250 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3814]) ).
thf(4028,plain,
! [SV876: $i,SV389: $i,SV1251: $i] :
( ( ( hBOOL @ ( c_in @ SV1251 @ c_Event_Obad @ tc_Message_Oagent ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SV1251 @ SV389 ) @ ( c_List_Oset @ SV876 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV389 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV876 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3815]) ).
thf(4029,plain,
! [SV1573: $i,SV1534: $i,SV1457: $i,SV1252: $i,SV877: $i,SV390: $i] :
( ( ! [SY3785: $i] :
( ( SV390
= ( hAPP @ c_Public_OshrK @ SV877 ) )
| ~ ( hBOOL @ ( c_in @ SV1252 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV877 @ ( c_Message_Omsg_OCrypt @ SV390 @ ( c_Message_Omsg_OMPair @ SV1457 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1534 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1573 ) @ SY3785 ) ) ) ) ) @ ( c_List_Oset @ SV1252 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3816]) ).
thf(4030,plain,
! [SV393: $i,SV880: $i,SV1253: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV1253 ) ) @ ( c_Message_Oanalz @ SV880 ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1253 ) @ SV393 ) @ ( c_Message_Oanalz @ SV880 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV393 @ ( c_Message_Oanalz @ SV880 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3817]) ).
thf(4031,plain,
! [SV1458: $i,SV1254: $i,SV881: $i,SV394: $i] :
( ( ( hBOOL @ ( c_in @ SV394 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV881 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV394 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV1254 @ SV1458 ) @ SV881 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3818]) ).
thf(4032,plain,
! [SV882: $i,SV395: $i,SV1459: $i,SV1255: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1255 @ SV1459 @ SV395 ) @ ( c_List_Oset @ SV882 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV395 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV882 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3819]) ).
thf(4033,plain,
! [SV883: $i,SV396: $i,SV1256: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV1256 @ SV396 ) @ ( c_Message_Osynth @ SV883 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV1256 @ SV396 ) @ SV883 @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV396 @ ( c_Message_Osynth @ SV883 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3820]) ).
thf(4034,plain,
! [SV884: $i,SV1257: $i,SV397: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV397 @ SV1257 ) @ ( c_Message_Osynth @ SV884 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV397 @ SV1257 ) @ SV884 @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV397 @ ( c_Message_Osynth @ SV884 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3821]) ).
thf(4035,plain,
! [SV1574: $i,SV1535: $i,SV1460: $i,SV1258: $i,SV885: $i,SV398: $i] :
( ( ! [SY3786: $i,SY3787: $i,SY3788: $i,SY3789: $i] :
( ( SV398 = SV885 )
| ~ ( hBOOL @ ( c_in @ SV1258 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV885 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV885 ) @ ( c_Message_Omsg_OMPair @ SV1460 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1535 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1574 ) @ SY3786 ) ) ) ) ) @ ( c_List_Oset @ SV1258 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV398 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV398 ) @ ( c_Message_Omsg_OMPair @ SY3787 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3788 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1574 ) @ SY3789 ) ) ) ) ) @ ( c_List_Oset @ SV1258 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3822]) ).
thf(4036,plain,
! [SV1575: $i,SV1536: $i,SV1461: $i,SV1259: $i,SV886: $i,SV399: $i] :
( ( ! [SY3790: $i,SY3791: $i,SY3792: $i,SY3793: $i] :
( ( SV399 = SV886 )
| ~ ( hBOOL @ ( c_in @ SV1259 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1461 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1461 ) @ ( c_Message_Omsg_OMPair @ SV886 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1536 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1575 ) @ SY3790 ) ) ) ) ) @ ( c_List_Oset @ SV1259 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3791 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3791 ) @ ( c_Message_Omsg_OMPair @ SV399 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3792 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1575 ) @ SY3793 ) ) ) ) ) @ ( c_List_Oset @ SV1259 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3823]) ).
thf(4037,plain,
! [SV1576: $i,SV1537: $i,SV1462: $i,SV1260: $i,SV887: $i,SV400: $i] :
( ( ! [SY3794: $i,SY3795: $i,SY3796: $i,SY3797: $i] :
( ( SV400 = SV887 )
| ~ ( hBOOL @ ( c_in @ SV1260 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1462 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1462 ) @ ( c_Message_Omsg_OMPair @ SV1537 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV887 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1576 ) @ SY3794 ) ) ) ) ) @ ( c_List_Oset @ SV1260 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3795 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3795 ) @ ( c_Message_Omsg_OMPair @ SY3796 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV400 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1576 ) @ SY3797 ) ) ) ) ) @ ( c_List_Oset @ SV1260 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3824]) ).
thf(4038,plain,
! [SV1577: $i,SV1538: $i,SV1463: $i,SV1261: $i,SV888: $i,SV401: $i] :
( ( ! [SY3798: $i,SY3799: $i,SY3800: $i,SY3801: $i] :
( ( SV401 = SV888 )
| ~ ( hBOOL @ ( c_in @ SV1261 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1463 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1463 ) @ ( c_Message_Omsg_OMPair @ SV1538 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1577 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3798 ) @ SV888 ) ) ) ) ) @ ( c_List_Oset @ SV1261 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3799 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3799 ) @ ( c_Message_Omsg_OMPair @ SY3800 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3801 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3798 ) @ SV401 ) ) ) ) ) @ ( c_List_Oset @ SV1261 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3825]) ).
thf(4039,plain,
! [SV403: $i,SV1262: $i,SV890: $i] :
( ( ( hBOOL @ ( c_in @ SV890 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1262 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV403 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1262 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV403 @ SV890 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1262 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3826]) ).
thf(4040,plain,
! [SV405: $i,SV892: $i] :
( ( ( hBOOL @ ( c_in @ SV892 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV405 ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV892 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV405 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3827]) ).
thf(4041,plain,
! [SV406: $i,SV893: $i] :
( ( ( hBOOL @ ( c_in @ SV893 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV406 @ c_Event_Obad @ tc_Message_Oagent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV406 ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV893 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3828]) ).
thf(4042,plain,
! [SV1265: $i,SV897: $i,SV1464: $i,SV410: $i] :
( ( ( SV410 = SV1464 )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV410 @ ( c_List_Oset @ ( c_List_Olist_OCons @ SV1464 @ SV897 @ SV1265 ) @ SV1265 ) @ SV1265 ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV410 @ ( c_List_Oset @ SV897 @ SV1265 ) @ SV1265 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3831]) ).
thf(4043,plain,
! [SV900: $i,SV413: $i,SV1268: $i] :
( ( ( hBOOL @ ( c_in @ SV1268 @ c_Event_Obad @ tc_Message_Oagent ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1268 ) @ SV413 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV900 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV413 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV900 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3833]) ).
thf(4044,plain,
! [SV1578: $i,SV1539: $i,SV1465: $i,SV1269: $i,SV904: $i,SV417: $i] :
( ( ! [SY3802: $i] :
( ( SV417
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV904 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1269 ) @ ( c_Message_Omsg_OAgent @ SV1465 ) ) ) )
| ~ ( hBOOL @ ( c_in @ SV1539 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1465 @ ( c_Message_Omsg_OCrypt @ SV1578 @ ( c_Message_Omsg_OMPair @ SY3802 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV904 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1269 ) @ SV417 ) ) ) ) ) @ ( c_List_Oset @ SV1539 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3834]) ).
thf(4045,plain,
! [SV1270: $i,SV905: $i,SV418: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV418 @ SV905 ) @ SV1270 @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV418 ) @ SV1270 @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV418 @ SV905 ) @ ( c_Message_Osynth @ SV1270 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3835]) ).
thf(4046,plain,
! [SV1271: $i,SV906: $i,SV419: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV419 @ SV906 ) @ ( c_Message_Osynth @ SV1271 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV419 ) @ SV1271 @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV419 @ SV906 ) @ SV1271 @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3836]) ).
thf(4047,plain,
! [SV907: $i,SV1272: $i,SV420: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV420 @ SV1272 ) @ ( c_Message_Osynth @ SV907 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV420 @ SV1272 ) @ SV907 @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV420 ) @ SV907 @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3837]) ).
thf(4048,plain,
! [SV909: $i,SV423: $i,SV1273: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1273 @ SV423 ) @ ( c_Message_Osynth @ SV909 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1273 @ SV423 ) @ SV909 @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV423 @ ( c_Message_Osynth @ SV909 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3838]) ).
thf(4049,plain,
! [SV1540: $i,SV1466: $i,SV1274: $i,SV910: $i,SV424: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV424 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV910 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV424 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV1274 @ SV1466 @ SV1540 ) @ SV910 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3839]) ).
thf(4050,plain,
! [SV911: $i,SV1275: $i,SV425: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV425 ) @ SV1275 @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV911 @ ( c_Message_Osynth @ SV1275 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV425 @ SV911 ) @ ( c_Message_Osynth @ SV1275 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3840]) ).
thf(4051,plain,
! [SV1541: $i,SV1468: $i,SV1279: $i,SV928: $i,SV442: $i] :
( ( ( c_Event_Oevent_OSays @ SV442 @ SV928 @ SV1279 )
= ( c_Event_Oevent_OGets @ SV1468 @ SV1541 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3844]) ).
thf(4052,plain,
! [SV447: $i,SV1283: $i,SV933: $i] :
( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV933 @ SV1283 @ SV447 )
!= SV1283 )
= $true )
| ( ( c_lessequals @ SV933 @ SV1283 @ SV447 )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV447 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3846]) ).
thf(4053,plain,
! [SV1542: $i,SV1469: $i,SV1284: $i,SV934: $i,SV448: $i] :
( ( ( ( c_Set_Oinsert @ SV448 @ ( c_Set_Oinsert @ SV934 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1284 @ tc_bool ) ) @ SV1284 ) @ SV1284 )
!= ( c_Set_Oinsert @ SV1469 @ ( c_Set_Oinsert @ SV1542 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1284 @ tc_bool ) ) @ SV1284 ) @ SV1284 ) )
= $true )
| ( ( ( SV934 = SV1469 )
| ( SV448 = SV1469 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3847]) ).
thf(4054,plain,
! [SV1471: $i,SV1289: $i,SV943: $i,SV459: $i] :
( ( ( ( c_Event_Oevent_OGets @ SV459 @ SV943 )
= ( c_Event_Oevent_OGets @ SV1289 @ SV1471 ) )
= $false )
| ( ( SV459 = SV1289 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3849]) ).
thf(4055,plain,
! [SV1472: $i,SV1293: $i,SV947: $i,SV463: $i] :
( ( ( ( c_Message_Omsg_OCrypt @ SV463 @ SV947 )
= ( c_Message_Omsg_OCrypt @ SV1293 @ SV1472 ) )
= $false )
| ( ( SV463 = SV1293 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3852]) ).
thf(4056,plain,
! [SV1473: $i,SV1295: $i,SV950: $i,SV466: $i] :
( ( ( ( c_Set_Oinsert @ SV466 @ SV950 @ SV1295 )
= ( c_Set_Oinsert @ SV466 @ SV1473 @ SV1295 ) )
= $false )
| ( ( ( hBOOL @ ( c_in @ SV466 @ SV1473 @ SV1295 ) )
| ( hBOOL @ ( c_in @ SV466 @ SV950 @ SV1295 ) )
| ( SV950 = SV1473 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3853]) ).
thf(4057,plain,
! [SV1474: $i,SV1299: $i,SV954: $i,SV470: $i] :
( ( ( ( hAPP @ ( c_Public_OpublicKey @ SV470 ) @ SV954 )
= ( hAPP @ ( c_Public_OpublicKey @ SV1299 ) @ SV1474 ) )
= $false )
| ( ( SV954 = SV1474 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3856]) ).
thf(4058,plain,
! [SV1543: $i,SV1476: $i,SV1301: $i,SV957: $i,SV473: $i] :
( ( ( ( c_Set_Oinsert @ SV473 @ ( c_Set_Oinsert @ SV957 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1301 @ tc_bool ) ) @ SV1301 ) @ SV1301 )
!= ( c_Set_Oinsert @ SV1476 @ ( c_Set_Oinsert @ SV1543 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1301 @ tc_bool ) ) @ SV1301 ) @ SV1301 ) )
= $true )
| ( ( ( SV473 = SV1543 )
| ( SV957 = SV1543 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3858]) ).
thf(4059,plain,
! [SV474: $i,SV1302: $i,SV958: $i] :
( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV958 @ SV1302 @ SV474 )
!= ( c_Orderings_Obot__class_Obot @ SV474 ) )
= $true )
| ( ( SV1302
= ( c_Orderings_Obot__class_Obot @ SV474 ) )
= $true )
| ( ( class_Lattices_Obounded__lattice @ SV474 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3859]) ).
thf(4060,plain,
! [SV1579: $i,SV1544: $i,SV1477: $i,SV1303: $i,SV959: $i,SV475: $i] :
( ( ( ( c_Event_Oevent_OSays @ SV475 @ SV959 @ SV1303 )
!= ( c_Event_Oevent_OSays @ SV1477 @ SV1544 @ SV1579 ) )
| ( SV1303 = SV1579 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3860]) ).
thf(4061,plain,
! [SV1478: $i,SV1304: $i,SV960: $i,SV476: $i] :
( ( ( ( hAPP @ ( c_Public_OpublicKey @ SV476 ) @ SV960 )
= ( hAPP @ ( c_Public_OpublicKey @ SV1304 ) @ SV1478 ) )
= $false )
| ( ( SV476 = SV1304 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3861]) ).
thf(4062,plain,
! [SV1545: $i,SV1479: $i,SV1305: $i,SV961: $i,SV477: $i] :
( ( ( ( c_List_Olist_OCons @ SV477 @ SV961 @ SV1305 )
!= ( c_List_Olist_OCons @ SV1479 @ SV1545 @ SV1305 ) )
= $true )
| ( ( SV477 = SV1479 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3862]) ).
thf(4063,plain,
! [SV1480: $i,SV1307: $i,SV963: $i,SV479: $i] :
( ( ( ( c_Message_Oanalz @ SV479 )
= ( c_Message_Oanalz @ SV963 ) )
= $false )
| ( ( ( ( c_Message_Oanalz @ SV1307 )
!= ( c_Message_Oanalz @ SV1480 ) )
| ( ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1307 @ SV479 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1480 @ SV963 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3863]) ).
thf(4064,plain,
! [SV1481: $i,SV1308: $i,SV964: $i,SV480: $i] :
( ( ( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV480 @ tc_bool ) )
= ( c_Set_Oimage @ SV964 @ SV1308 @ SV1481 @ SV480 ) )
= $false )
| ( ( SV1308
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1481 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3864]) ).
thf(4065,plain,
! [SV1546: $i,SV1482: $i,SV1310: $i,SV966: $i,SV483: $i] :
( ( ( ( c_Set_Oinsert @ SV483 @ ( c_Set_Oinsert @ SV966 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1310 @ tc_bool ) ) @ SV1310 ) @ SV1310 )
!= ( c_Set_Oinsert @ SV1482 @ ( c_Set_Oinsert @ SV1546 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1310 @ tc_bool ) ) @ SV1310 ) @ SV1310 ) )
= $true )
| ( ( ( SV483 = SV1546 )
| ( SV483 = SV1482 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3865]) ).
thf(4066,plain,
! [SV1311: $i,SV484: $i,SV967: $i] :
( ( ( ( c_HOL_Ouminus__class_Ouminus @ SV967 @ SV484 )
!= ( c_HOL_Ouminus__class_Ouminus @ SV1311 @ SV484 ) )
= $true )
| ( ( SV967 = SV1311 )
= $true )
| ( ( class_OrderedGroup_Ogroup__add @ SV484 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3866]) ).
thf(4067,plain,
! [SV1485: $i,SV1315: $i,SV973: $i,SV490: $i] :
( ( ( ( c_Event_Oevent_OGets @ SV490 @ SV973 )
= ( c_Event_Oevent_OGets @ SV1315 @ SV1485 ) )
= $false )
| ( ( SV973 = SV1485 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3869]) ).
thf(4068,plain,
! [SV1486: $i,SV1316: $i,SV974: $i,SV491: $i] :
( ( ( ( c_Event_Oevent_ONotes @ SV491 @ SV974 )
= ( c_Event_Oevent_ONotes @ SV1316 @ SV1486 ) )
= $false )
| ( ( SV491 = SV1316 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3870]) ).
thf(4069,plain,
! [SV1317: $i,SV492: $i,SV975: $i] :
( ( ( ( c_HOL_Ouminus__class_Ouminus @ SV975 @ SV492 )
!= ( c_HOL_Ouminus__class_Ouminus @ SV1317 @ SV492 ) )
= $true )
| ( ( SV975 = SV1317 )
= $true )
| ( ( class_Lattices_Oboolean__algebra @ SV492 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3871]) ).
thf(4070,plain,
! [SV1547: $i,SV1487: $i,SV1318: $i,SV976: $i,SV493: $i] :
( ( ( c_Event_Oevent_OSays @ SV493 @ SV976 @ SV1318 )
= ( c_Event_Oevent_ONotes @ SV1487 @ SV1547 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3872]) ).
thf(4071,plain,
! [SV1488: $i,SV1319: $i,SV977: $i,SV494: $i] :
( ( ( ( c_Message_Omsg_OMPair @ SV494 @ SV977 )
= ( c_Message_Omsg_OMPair @ SV1319 @ SV1488 ) )
= $false )
| ( ( SV494 = SV1319 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3873]) ).
thf(4072,plain,
! [SV1548: $i,SV1489: $i,SV1322: $i,SV980: $i,SV497: $i] :
( ( ( ( c_List_Olist_OCons @ SV497 @ SV980 @ SV1322 )
!= ( c_List_Olist_OCons @ SV1489 @ SV1548 @ SV1322 ) )
= $true )
| ( ( SV980 = SV1548 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3874]) ).
thf(4073,plain,
! [SV1580: $i,SV1549: $i,SV1491: $i,SV1325: $i,SV983: $i,SV500: $i] :
( ( ( ( c_Event_Oevent_OSays @ SV500 @ SV983 @ SV1325 )
!= ( c_Event_Oevent_OSays @ SV1491 @ SV1549 @ SV1580 ) )
| ( SV500 = SV1491 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3876]) ).
thf(4074,plain,
! [SV1492: $i,SV1326: $i,SV984: $i,SV501: $i] :
( ( ( ( c_Message_Omsg_OCrypt @ SV501 @ SV984 )
= ( c_Message_Omsg_OCrypt @ SV1326 @ SV1492 ) )
= $false )
| ( ( SV984 = SV1492 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3877]) ).
thf(4075,plain,
! [SV1550: $i,SV1493: $i,SV1327: $i,SV986: $i,SV504: $i] :
( ( ( ( c_Set_Oinsert @ SV504 @ ( c_Set_Oinsert @ SV986 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1327 @ tc_bool ) ) @ SV1327 ) @ SV1327 )
!= ( c_Set_Oinsert @ SV1493 @ ( c_Set_Oinsert @ SV1550 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1327 @ tc_bool ) ) @ SV1327 ) @ SV1327 ) )
= $true )
| ( ( ( SV986 = SV1493 )
| ( SV986 = SV1550 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3878]) ).
thf(4076,plain,
! [SV1551: $i,SV1494: $i,SV1328: $i,SV987: $i,SV505: $i] :
( ( ( c_Event_Oevent_ONotes @ SV505 @ SV987 )
= ( c_Event_Oevent_OSays @ SV1328 @ SV1494 @ SV1551 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3879]) ).
thf(4077,plain,
! [SV1495: $i,SV1329: $i,SV988: $i,SV506: $i] :
( ( ( ( c_Set_Oimage @ SV506 @ SV988 @ SV1329 @ SV1495 )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1495 @ tc_bool ) ) )
= $false )
| ( ( SV988
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1329 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3880]) ).
thf(4078,plain,
! [SV1581: $i,SV1552: $i,SV1496: $i,SV1334: $i,SV994: $i,SV513: $i] :
( ( ( ( c_Event_Oevent_OSays @ SV513 @ SV994 @ SV1334 )
!= ( c_Event_Oevent_OSays @ SV1496 @ SV1552 @ SV1581 ) )
| ( SV994 = SV1552 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3881]) ).
thf(4079,plain,
! [SV516: $i,SV1337: $i,SV997: $i] :
( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV997 @ SV1337 @ SV516 )
!= ( c_Orderings_Obot__class_Obot @ SV516 ) )
= $true )
| ( ( SV997
= ( c_Orderings_Obot__class_Obot @ SV516 ) )
= $true )
| ( ( class_Lattices_Obounded__lattice @ SV516 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3883]) ).
thf(4080,plain,
! [SV1497: $i,SV1338: $i,SV998: $i,SV517: $i] :
( ( ( ( c_Message_Omsg_OMPair @ SV517 @ SV998 )
= ( c_Message_Omsg_OMPair @ SV1338 @ SV1497 ) )
= $false )
| ( ( SV998 = SV1497 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3884]) ).
thf(4081,plain,
! [SV1553: $i,SV1498: $i,SV1340: $i,SV1000: $i,SV519: $i] :
( ( ( c_Event_Oevent_OGets @ SV519 @ SV1000 )
= ( c_Event_Oevent_OSays @ SV1340 @ SV1498 @ SV1553 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3885]) ).
thf(4082,plain,
! [SV1499: $i,SV1341: $i,SV1001: $i,SV520: $i] :
( ( ( ( c_Event_Oevent_ONotes @ SV520 @ SV1001 )
= ( c_Event_Oevent_ONotes @ SV1341 @ SV1499 ) )
= $false )
| ( ( SV1001 = SV1499 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3886]) ).
thf(4083,plain,
! [SV527: $i,SV9: $i,SV1007: $i] :
( ( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV1007 @ SV9 ) @ SV527 @ SV9 )
= $false )
| ( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV527 @ SV9 ) @ SV1007 @ SV9 )
= $true )
| ( ( class_OrderedGroup_Opordered__ab__group__add @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3888]) ).
thf(4084,plain,
! [SV528: $i,SV10: $i,SV1008: $i] :
( ( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV1008 @ SV10 ) @ SV528 @ SV10 )
= $false )
| ( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV528 @ SV10 ) @ SV1008 @ SV10 )
= $true )
| ( ( class_OrderedGroup_Opordered__ab__group__add @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3889]) ).
thf(4085,plain,
! [SV11: $i,SV529: $i,SV1009: $i] :
( ( ( c_lessequals @ SV1009 @ ( c_HOL_Ouminus__class_Ouminus @ SV529 @ SV11 ) @ SV11 )
= $false )
| ( ( c_lessequals @ SV529 @ ( c_HOL_Ouminus__class_Ouminus @ SV1009 @ SV11 ) @ SV11 )
= $true )
| ( ( class_OrderedGroup_Opordered__ab__group__add @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3890]) ).
thf(4086,plain,
! [SV12: $i,SV530: $i,SV1010: $i] :
( ( ( c_lessequals @ SV1010 @ ( c_HOL_Ouminus__class_Ouminus @ SV530 @ SV12 ) @ SV12 )
= $false )
| ( ( c_lessequals @ SV530 @ ( c_HOL_Ouminus__class_Ouminus @ SV1010 @ SV12 ) @ SV12 )
= $true )
| ( ( class_OrderedGroup_Opordered__ab__group__add @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3891]) ).
thf(4087,plain,
! [SV543: $i,SV26: $i,SV1011: $i] :
( ( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV1011 @ SV26 ) @ ( c_HOL_Ouminus__class_Ouminus @ SV543 @ SV26 ) @ SV26 )
= $false )
| ( ( c_lessequals @ SV543 @ SV1011 @ SV26 )
= $true )
| ( ( class_OrderedGroup_Opordered__ab__group__add @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3893]) ).
thf(4088,plain,
! [SV27: $i,SV544: $i,SV1012: $i] :
( ( ( c_lessequals @ SV1012 @ SV544 @ SV27 )
= $false )
| ( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV544 @ SV27 ) @ ( c_HOL_Ouminus__class_Ouminus @ SV1012 @ SV27 ) @ SV27 )
= $true )
| ( ( class_OrderedGroup_Opordered__ab__group__add @ SV27 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3894]) ).
thf(4089,plain,
! [SV1016: $i,SV40: $i,SV552: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV552 @ ( c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1 @ SV552 @ SV40 @ SV1016 ) @ SV40 ) @ ( c_List_Oset @ SV1016 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( ( SV552 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( c_in @ SV40 @ ( c_Event_Oknows @ SV552 @ SV1016 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OGets @ SV552 @ SV40 ) @ ( c_List_Oset @ SV1016 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SV552 @ SV40 ) @ ( c_List_Oset @ SV1016 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV40 @ ( c_Event_OinitState @ SV552 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3895]) ).
thf(4090,plain,
! [SV43: $i,SV1019: $i,SV555: $i] :
( ( ( ~ ( c_lessequals @ SV555 @ ( c_HOL_Ouminus__class_Ouminus @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ ( tc_fun @ tc_nat @ tc_bool ) ) @ ( tc_fun @ tc_nat @ tc_bool ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1019 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV43 @ SV555 @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV43 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV555 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1019 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3897]) ).
thf(4091,plain,
! [SV556: $i,SV1020: $i,SV44: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV44 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV1020 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV556 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( c_lessequals @ SV1020 @ ( c_HOL_Ouminus__class_Ouminus @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ ( tc_fun @ tc_nat @ tc_bool ) ) @ ( tc_fun @ tc_nat @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV556 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV44 @ SV1020 @ tc_nat ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV44 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV556 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3898]) ).
thf(4092,plain,
! [SV557: $i,SV1021: $i,SV45: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV45 @ SV1021 ) @ SV557 @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV45 @ c_Message_OsymKeys @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV45 @ ( c_Message_OkeysFor @ SV557 ) @ tc_nat ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3899]) ).
thf(4093,plain,
! [SV562: $i,SV1025: $i,SV50: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV50 ) @ ( c_Message_Oanalz @ SV1025 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV50 ) @ ( c_Message_Oanalz @ SV1025 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV50 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV562 @ tc_nat @ tc_Message_Omsg ) @ SV1025 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3901]) ).
thf(4094,plain,
! [SV51: $i,SV1026: $i,SV563: $i] :
( ( ( ~ ( c_lessequals @ SV563 @ ( c_HOL_Ouminus__class_Ouminus @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ ( tc_fun @ tc_nat @ tc_bool ) ) @ ( tc_fun @ tc_nat @ tc_bool ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1026 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV51 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1026 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV51 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV563 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1026 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3902]) ).
thf(4095,plain,
! [SV1038: $i,SV596: $i,SV91: $i] :
( ( ( hBOOL @ ( c_in @ SV91 @ SV596 @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV91 ) @ ( c_Message_Oanalz @ SV1038 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV91 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV596 @ tc_nat @ tc_Message_Omsg ) @ SV1038 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3905]) ).
thf(4096,plain,
! [SV597: $i,SV1039: $i,SV92: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV92 ) @ ( c_Message_Oanalz @ SV1039 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV92 @ SV597 @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV92 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV597 @ tc_nat @ tc_Message_Omsg ) @ SV1039 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3906]) ).
thf(4097,plain,
! [SV1041: $i,SV599: $i,SV94: $i] :
( ( ( hBOOL @ ( c_in @ SV94 @ SV599 @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV94 @ SV599 @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV94 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV599 @ tc_nat @ tc_Message_Omsg ) @ SV1041 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3908]) ).
thf(4098,plain,
! [SV605: $i,SV1045: $i,SV100: $i] :
( ( ( hBOOL @ ( c_in @ SV100 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV1045 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV1045 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV605 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV100 @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV605 ) ) @ ( c_Message_Oparts @ SV605 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3910]) ).
thf(4099,plain,
! [SV1048: $i,SV104: $i,SV609: $i,SV1346: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV1346 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV609 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV104 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV1346 @ SV1048 @ tc_Message_Omsg ) ) ) @ tc_nat ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV104 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1048 @ SV609 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) ) @ tc_nat ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV104 ) ) @ ( c_Message_Oparts @ SV609 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3911]) ).
thf(4100,plain,
! [SV610: $i,SV105: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV105 @ c_Message_OsymKeys @ tc_nat ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV105 ) @ ( c_Event_Oused @ SV610 ) @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV610 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV105 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV610 ) ) ) @ tc_nat ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3912]) ).
thf(4101,plain,
! [SV1349: $i,SV108: $i,SV1051: $i,SV1502: $i,SV613: $i] :
( ( ( ~ ( c_lessequals @ SV613 @ SV1502 @ ( tc_fun @ SV1051 @ tc_bool ) ) )
= $true )
| ( ( ~ ( c_lessequals @ SV108 @ SV1349 @ ( tc_fun @ SV1051 @ tc_bool ) ) )
= $true )
| ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV108 @ SV613 @ ( tc_fun @ SV1051 @ tc_bool ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1349 @ SV1502 @ ( tc_fun @ SV1051 @ tc_bool ) ) @ ( tc_fun @ SV1051 @ tc_bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3913]) ).
thf(4102,plain,
! [SV1350: $i,SV112: $i,SV1052: $i,SV617: $i] :
( ( ( c_lessequals @ SV617 @ SV1052 @ SV112 )
= $true )
| ( ( ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1350 @ SV617 @ SV112 ) @ SV1052 @ SV112 ) )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV112 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3914]) ).
thf(4103,plain,
! [SV1351: $i,SV113: $i,SV1053: $i,SV618: $i] :
( ( ( c_lessequals @ SV618 @ SV1053 @ SV113 )
= $true )
| ( ( ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV618 @ SV1351 @ SV113 ) @ SV1053 @ SV113 ) )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV113 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3915]) ).
thf(4104,plain,
! [SV114: $i,SV1352: $i,SV1054: $i,SV619: $i] :
( ( ( c_lessequals @ SV619 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1054 @ SV1352 @ SV114 ) @ SV114 )
= $true )
| ( ( ~ ( c_lessequals @ SV619 @ SV1352 @ SV114 ) )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV114 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3916]) ).
thf(4105,plain,
! [SV115: $i,SV1353: $i,SV1055: $i,SV620: $i] :
( ( ( c_lessequals @ SV620 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1055 @ SV1353 @ SV115 ) @ SV115 )
= $true )
| ( ( ~ ( c_lessequals @ SV620 @ SV1055 @ SV115 ) )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV115 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3917]) ).
thf(4106,plain,
! [SV1354: $i,SV116: $i,SV1056: $i,SV621: $i] :
( ( ( c_lessequals @ SV621 @ SV1056 @ SV116 )
= $true )
| ( ( ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1354 @ SV621 @ SV116 ) @ SV1056 @ SV116 ) )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV116 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3918]) ).
thf(4107,plain,
! [SV1355: $i,SV117: $i,SV1057: $i,SV622: $i] :
( ( ( c_lessequals @ SV622 @ SV1057 @ SV117 )
= $true )
| ( ( ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV622 @ SV1355 @ SV117 ) @ SV1057 @ SV117 ) )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV117 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3919]) ).
thf(4108,plain,
! [SV1358: $i,SV120: $i,SV1060: $i,SV625: $i] :
( ( ( c_lessequals @ SV625 @ SV1060 @ SV120 )
= $true )
| ( ( ~ ( c_lessequals @ SV625 @ SV1358 @ SV120 )
| ~ ( c_lessequals @ SV1358 @ SV1060 @ SV120 ) )
= $true )
| ( ( class_Orderings_Oorder @ SV120 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3922]) ).
thf(4109,plain,
! [SV1359: $i,SV121: $i,SV1061: $i,SV626: $i] :
( ( ( c_lessequals @ SV626 @ SV1061 @ SV121 )
= $true )
| ( ( ~ ( c_lessequals @ SV1359 @ SV1061 @ SV121 )
| ~ ( c_lessequals @ SV626 @ SV1359 @ SV121 ) )
= $true )
| ( ( class_Orderings_Opreorder @ SV121 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3923]) ).
thf(4110,plain,
! [SV124: $i,SV1062: $i,SV629: $i,SV1360: $i] :
( ( ( c_lessequals @ SV1360 @ SV629 @ ( tc_fun @ SV1062 @ tc_bool ) )
= $false )
| ( ( ~ ( c_lessequals @ SV124 @ SV1360 @ ( tc_fun @ SV1062 @ tc_bool ) ) )
= $true )
| ( ( c_lessequals @ SV124 @ SV629 @ ( tc_fun @ SV1062 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3924]) ).
thf(4111,plain,
! [SV1361: $i,SV125: $i,SV630: $i,SV1063: $i] :
( ( ( hBOOL @ ( hAPP @ SV1063 @ SV630 ) )
= $false )
| ( ( ~ ( c_lessequals @ SV1063 @ SV125 @ ( tc_fun @ SV1361 @ tc_bool ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV125 @ SV630 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3925]) ).
thf(4112,plain,
! [SV633: $i,SV1362: $i,SV128: $i,SV1064: $i] :
( ( ( c_lessequals @ SV1064 @ SV128 @ ( tc_fun @ SV1362 @ tc_bool ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV1064 @ SV633 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV128 @ SV633 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3926]) ).
thf(4113,plain,
! [SV1363: $i,SV129: $i,SV1065: $i,SV1503: $i,SV634: $i] :
( ( ( c_lessequals @ SV634 @ SV1503 @ ( tc_fun @ SV1065 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ ( c_Set_Oimage @ SV129 @ SV634 @ SV1065 @ SV1363 ) @ ( c_Set_Oimage @ SV129 @ SV1503 @ SV1065 @ SV1363 ) @ ( tc_fun @ SV1363 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3927]) ).
thf(4114,plain,
! [SV1504: $i,SV1364: $i,SV1066: $i,SV635: $i,SV130: $i] :
( ( ( c_lessequals @ SV130 @ SV635 @ ( tc_fun @ SV1066 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ ( c_Set_Oimage @ SV1364 @ SV130 @ SV1066 @ SV1504 ) @ ( c_Set_Oimage @ SV1364 @ SV635 @ SV1066 @ SV1504 ) @ ( tc_fun @ SV1504 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3928]) ).
thf(4115,plain,
! [SV1069: $i,SV133: $i,SV1367: $i,SV638: $i] :
( ( ( c_lessequals @ ( c_Message_Oanalz @ SV638 ) @ ( c_Message_Oanalz @ SV1367 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( ~ ( c_lessequals @ ( c_Message_Oanalz @ SV133 ) @ ( c_Message_Oanalz @ SV1069 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true )
| ( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV133 @ SV638 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1069 @ SV1367 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3930]) ).
thf(4116,plain,
! [SV1073: $i,SV642: $i,SV1368: $i,SV139: $i] :
( ( ( c_lessequals @ SV139 @ ( c_Set_Oinsert @ SV1368 @ SV642 @ SV1073 ) @ ( tc_fun @ SV1073 @ tc_bool ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV1368 @ SV139 @ SV1073 ) )
= $true )
| ( ( c_lessequals @ SV139 @ SV642 @ ( tc_fun @ SV1073 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3932]) ).
thf(4117,plain,
! [SV643: $i,SV1369: $i,SV1074: $i,SV140: $i] :
( ( ( c_lessequals @ SV140 @ SV1074 @ ( tc_fun @ SV1369 @ tc_bool ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV643 @ SV140 @ SV1369 ) )
= $true )
| ( ( c_lessequals @ SV140 @ ( c_Set_Oinsert @ SV643 @ SV1074 @ SV1369 ) @ ( tc_fun @ SV1369 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3933]) ).
thf(4118,plain,
! [SV1075: $i,SV644: $i,SV1370: $i,SV141: $i] :
( ( ( c_lessequals @ SV141 @ ( c_Set_Oinsert @ SV1370 @ SV644 @ SV1075 ) @ ( tc_fun @ SV1075 @ tc_bool ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV1370 @ SV141 @ SV1075 ) )
= $true )
| ( ( c_lessequals @ SV141 @ SV644 @ ( tc_fun @ SV1075 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3934]) ).
thf(4119,plain,
! [SV645: $i,SV1371: $i,SV1076: $i,SV142: $i] :
( ( ( c_lessequals @ SV142 @ SV1076 @ ( tc_fun @ SV1371 @ tc_bool ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV645 @ SV142 @ SV1371 ) )
= $true )
| ( ( c_lessequals @ SV142 @ ( c_Set_Oinsert @ SV645 @ SV1076 @ SV1371 ) @ ( tc_fun @ SV1371 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3935]) ).
thf(4120,plain,
! [SV1506: $i,SV143: $i,SV1372: $i,SV1077: $i,SV646: $i] :
( ( ( hBOOL @ ( c_in @ SV646 @ SV1077 @ SV1372 ) )
= $false )
| ( ( ( c_Set_Oinsert @ ( hAPP @ SV143 @ SV646 ) @ ( c_Set_Oimage @ SV143 @ SV1077 @ SV1372 @ SV1506 ) @ SV1506 )
= ( c_Set_Oimage @ SV143 @ SV1077 @ SV1372 @ SV1506 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3936]) ).
thf(4121,plain,
! [SV145: $i,SV1079: $i,SV1374: $i,SV648: $i] :
( ( ( c_lessequals @ SV648 @ SV1374 @ ( tc_fun @ SV1079 @ tc_bool ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV145 @ SV1374 @ SV1079 ) ) )
= $true )
| ( ( c_lessequals @ ( c_Set_Oinsert @ SV145 @ SV648 @ SV1079 ) @ SV1374 @ ( tc_fun @ SV1079 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3938]) ).
thf(4122,plain,
! [SV653: $i,SV1084: $i,SV150: $i] :
( ( ( hBOOL @ ( c_in @ SV150 @ ( c_Message_Oparts @ SV1084 ) @ tc_Message_Omsg ) )
= $false )
| ( ( c_lessequals @ SV1084 @ ( c_Message_Oparts @ SV653 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV150 @ ( c_Message_Oparts @ SV653 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3940]) ).
thf(4123,plain,
! [SV655: $i,SV1086: $i,SV152: $i] :
( ( ( hBOOL @ ( c_in @ SV152 @ ( c_Message_Oanalz @ SV1086 ) @ tc_Message_Omsg ) )
= $false )
| ( ( c_lessequals @ SV1086 @ ( c_Message_Oanalz @ SV655 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV152 @ ( c_Message_Oanalz @ SV655 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3941]) ).
thf(4124,plain,
! [SV656: $i,SV153: $i,SV1087: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV1087 @ c_Message_OsymKeys @ tc_nat ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1087 @ SV153 ) @ ( c_Message_Oanalz @ SV656 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1087 ) @ ( c_Message_Oanalz @ SV656 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV153 @ ( c_Message_Oanalz @ SV656 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3942]) ).
thf(4125,plain,
! [SV657: $i,SV1088: $i,SV155: $i] :
( ( ( hBOOL @ ( c_in @ SV155 @ ( c_Message_Osynth @ SV1088 ) @ tc_Message_Omsg ) )
= $false )
| ( ( c_lessequals @ SV1088 @ ( c_Message_Osynth @ SV657 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV155 @ ( c_Message_Osynth @ SV657 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3943]) ).
thf(4126,plain,
! [SV667: $i,SV167: $i,SV1092: $i,SV1375: $i] :
( ( ( hBOOL @ ( c_in @ SV1375 @ ( c_Message_Oparts @ SV1092 ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV167 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV1375 @ SV667 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV167 @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV667 @ SV1092 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3944]) ).
thf(4127,plain,
! [SV668: $i,SV1093: $i,SV168: $i] :
( ( ( hBOOL @ ( c_in @ SV168 @ ( c_Message_Oanalz @ SV1093 ) @ tc_Message_Omsg ) )
= $false )
| ( ( c_lessequals @ SV1093 @ SV668 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV168 @ SV668 @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ SV668 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3945]) ).
thf(4128,plain,
! [SV674: $i,SV1096: $i,SV174: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV174 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV1096 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV674 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( ( hBOOL @ ( c_in @ SV1096 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV674 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( SV174 = SV1096 )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV174 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV674 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3946]) ).
thf(4129,plain,
! [SV175: $i,SV1097: $i,SV675: $i] :
( ( ( hBOOL @ ( c_in @ SV675 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1097 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV175 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1097 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV175 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV675 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1097 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3947]) ).
thf(4130,plain,
! [SV1582: $i,SV1554: $i,SV1508: $i,SV1379: $i,SV1101: $i,SV679: $i,SV179: $i] :
( ( ~ ( hBOOL @ ( c_in @ SV179 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV679 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1101 @ ( c_Message_Omsg_OCrypt @ SV1379 @ ( c_Message_Omsg_OMPair @ SV1508 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1554 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV179 ) @ SV1582 ) ) ) ) ) @ ( c_List_Oset @ SV679 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3948]) ).
thf(4131,plain,
! [SV1555: $i,SV1509: $i,SV1381: $i,SV1104: $i,SV683: $i,SV183: $i] :
( ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV183 @ SV683 @ ( c_Message_Omsg_OCrypt @ SV1104 @ ( c_Message_Omsg_ONonce @ SV1381 ) ) ) @ SV1509 @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1555 @ SV183 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV183 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1104 ) @ ( c_Message_Omsg_OAgent @ SV683 ) ) ) ) @ ( c_List_Oset @ SV1509 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1104 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1381 ) @ ( c_Event_Oused @ SV1509 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1509 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3950]) ).
thf(4132,plain,
! [SV1556: $i,SV1510: $i,SV1383: $i,SV1109: $i,SV688: $i,SV188: $i] :
( ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV188 @ SV688 @ ( c_Message_Omsg_OCrypt @ SV1109 @ ( c_Message_Omsg_ONonce @ SV1383 ) ) ) @ SV1510 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1556 @ SV188 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV188 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1109 ) @ ( c_Message_Omsg_OAgent @ SV688 ) ) ) ) @ ( c_List_Oset @ SV1510 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1109 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1383 ) @ ( c_Event_Oused @ SV1510 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1510 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3951]) ).
thf(4133,plain,
! [SV1557: $i,SV1511: $i,SV1384: $i,SV1110: $i,SV689: $i,SV189: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV189 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV689 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SV1110 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1110 ) @ ( c_Message_Omsg_OMPair @ SV1384 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1511 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV189 ) @ SV1557 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV689 ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3952]) ).
thf(4134,plain,
! [SV192: $i,SV1113: $i,SV692: $i] :
( ( ( c_lessequals @ SV692 @ SV1113 @ SV192 )
= $false )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV692 @ SV1113 @ SV192 )
= SV1113 )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV192 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3953]) ).
thf(4135,plain,
! [SV193: $i,SV693: $i,SV1114: $i] :
( ( ( c_lessequals @ SV1114 @ SV693 @ SV193 )
= $false )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV693 @ SV1114 @ SV193 )
= SV693 )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV193 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3954]) ).
thf(4136,plain,
! [SV194: $i,SV1115: $i,SV694: $i] :
( ( ( ~ ( c_lessequals @ SV694 @ SV1115 @ SV194 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1115 @ SV694 @ SV194 ) )
= $true )
| ( ( SV694 = SV1115 )
= $true )
| ( ( class_Orderings_Oorder @ SV194 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3955]) ).
thf(4137,plain,
! [SV195: $i,SV695: $i,SV1116: $i] :
( ( ( ~ ( c_lessequals @ SV1116 @ SV695 @ SV195 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV695 @ SV1116 @ SV195 ) )
= $true )
| ( ( SV695 = SV1116 )
= $true )
| ( ( class_Orderings_Oorder @ SV195 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3956]) ).
thf(4138,plain,
! [SV196: $i,SV696: $i,SV1117: $i] :
( ( ( ~ ( c_lessequals @ SV1117 @ SV696 @ SV196 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV696 @ SV1117 @ SV196 ) )
= $true )
| ( ( SV696 = SV1117 )
= $true )
| ( ( class_Orderings_Oorder @ SV196 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3957]) ).
thf(4139,plain,
! [SV1118: $i,SV697: $i,SV197: $i] :
( ( ( c_lessequals @ SV197 @ SV697 @ ( tc_fun @ SV1118 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV697 @ SV197 @ ( tc_fun @ SV1118 @ tc_bool ) )
= $false )
| ( ( SV197 = SV697 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3958]) ).
thf(4140,plain,
! [SV1119: $i,SV698: $i,SV198: $i] :
( ( ( c_lessequals @ SV198 @ SV698 @ ( tc_fun @ SV1119 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV698 @ SV198 @ ( tc_fun @ SV1119 @ tc_bool ) )
= $false )
| ( ( SV198 = SV698 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3959]) ).
thf(4141,plain,
! [SV704: $i,SV1387: $i,SV207: $i,SV1122: $i] :
( ( ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1122 @ SV207 @ ( tc_fun @ SV1387 @ tc_bool ) ) @ SV704 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV1122 @ SV704 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV207 @ SV704 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3962]) ).
thf(4142,plain,
! [SV1558: $i,SV1512: $i,SV1395: $i,SV1132: $i,SV720: $i,SV225: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ SV225 @ SV720 ) @ SV1132 @ SV1395 ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV720 @ SV1512 @ SV1558 ) )
| ~ ( c_lessequals @ ( c_Set_Oimage @ SV225 @ SV1512 @ SV1558 @ SV1395 ) @ SV1132 @ ( tc_fun @ SV1395 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3967]) ).
thf(4143,plain,
! [SV240: $i,SV1143: $i,SV1404: $i,SV735: $i] :
( ( ( c_lessequals @ SV735 @ SV1404 @ ( tc_fun @ SV1143 @ tc_bool ) )
= $false )
| ( ( ~ ( c_lessequals @ SV240 @ SV1404 @ ( tc_fun @ SV1143 @ tc_bool ) ) )
= $true )
| ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV240 @ SV735 @ ( tc_fun @ SV1143 @ tc_bool ) ) @ SV1404 @ ( tc_fun @ SV1143 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3972]) ).
thf(4144,plain,
! [SV243: $i,SV1146: $i,SV1405: $i,SV738: $i] :
( ( ( c_lessequals @ SV738 @ SV1405 @ ( tc_fun @ SV1146 @ tc_bool ) )
= $false )
| ( ( ~ ( c_lessequals @ SV243 @ SV1405 @ ( tc_fun @ SV1146 @ tc_bool ) ) )
= $true )
| ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV243 @ SV738 @ ( tc_fun @ SV1146 @ tc_bool ) ) @ SV1405 @ ( tc_fun @ SV1146 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3973]) ).
thf(4145,plain,
! [SV1406: $i,SV244: $i,SV1147: $i,SV739: $i] :
( ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV739 @ SV1147 @ SV244 ) @ SV1406 @ SV244 )
= $true )
| ( ( ~ ( c_lessequals @ SV1147 @ SV1406 @ SV244 )
| ~ ( c_lessequals @ SV739 @ SV1406 @ SV244 ) )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV244 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3974]) ).
thf(4146,plain,
! [SV1407: $i,SV247: $i,SV1150: $i,SV742: $i] :
( ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV742 @ SV1150 @ SV247 ) @ SV1407 @ SV247 )
= $true )
| ( ( ~ ( c_lessequals @ SV1150 @ SV1407 @ SV247 )
| ~ ( c_lessequals @ SV742 @ SV1407 @ SV247 ) )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV247 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3975]) ).
thf(4147,plain,
! [SV1408: $i,SV248: $i,SV1151: $i,SV743: $i] :
( ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV743 @ SV1151 @ SV248 ) @ SV1408 @ SV248 )
= $true )
| ( ( ~ ( c_lessequals @ SV1151 @ SV1408 @ SV248 )
| ~ ( c_lessequals @ SV743 @ SV1408 @ SV248 ) )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV248 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3976]) ).
thf(4148,plain,
! [SV1514: $i,SV1410: $i,SV1162: $i,SV757: $i,SV262: $i] :
( ( ( class_HOL_Oord @ SV262 )
= $false )
| ( ( ( c_lessequals @ ( hAPP @ SV757 @ SV1162 ) @ ( hAPP @ SV1410 @ SV1162 ) @ SV262 )
| ~ ( c_lessequals @ SV757 @ SV1410 @ ( tc_fun @ SV1514 @ SV262 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3977]) ).
thf(4149,plain,
! [SV759: $i,SV1163: $i,SV1411: $i,SV264: $i] :
( ( ( hBOOL @ ( c_in @ SV264 @ SV1411 @ SV1163 ) )
= $false )
| ( ( ~ ( c_lessequals @ SV1411 @ SV759 @ ( tc_fun @ SV1163 @ tc_bool ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV264 @ SV759 @ SV1163 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3978]) ).
thf(4150,plain,
! [SV265: $i,SV1164: $i,SV760: $i,SV1412: $i] :
( ( ( c_lessequals @ SV1412 @ SV760 @ ( tc_fun @ SV1164 @ tc_bool ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV265 @ SV1412 @ SV1164 ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV265 @ SV760 @ SV1164 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3979]) ).
thf(4151,plain,
! [SV761: $i,SV1165: $i,SV1413: $i,SV266: $i] :
( ( ( hBOOL @ ( c_in @ SV266 @ SV1413 @ SV1165 ) )
= $false )
| ( ( ~ ( c_lessequals @ SV1413 @ SV761 @ ( tc_fun @ SV1165 @ tc_bool ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV266 @ SV761 @ SV1165 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3980]) ).
thf(4152,plain,
! [SV762: $i,SV1166: $i,SV1414: $i,SV267: $i] :
( ( ( hBOOL @ ( c_in @ SV267 @ SV1414 @ SV1166 ) )
= $false )
| ( ( ~ ( c_lessequals @ SV1414 @ SV762 @ ( tc_fun @ SV1166 @ tc_bool ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV267 @ SV762 @ SV1166 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3981]) ).
thf(4153,plain,
! [SV1169: $i,SV765: $i,SV1417: $i,SV270: $i] :
( ( ( hBOOL @ ( c_in @ SV270 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1417 @ SV765 @ ( tc_fun @ SV1169 @ tc_bool ) ) @ SV1169 ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV270 @ SV1417 @ SV1169 ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV270 @ SV765 @ SV1169 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3984]) ).
thf(4154,plain,
! [SV1515: $i,SV1418: $i,SV1170: $i,SV767: $i,SV272: $i] :
( ( ( hBOOL @ ( c_in @ SV272 @ SV767 @ SV1170 ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ SV1418 @ SV272 ) @ ( c_Set_Oimage @ SV1418 @ SV767 @ SV1170 @ SV1515 ) @ SV1515 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3985]) ).
thf(4155,plain,
! [SV1516: $i,SV1419: $i,SV1171: $i,SV768: $i,SV273: $i] :
( ( ( hBOOL @ ( c_in @ SV273 @ SV768 @ SV1171 ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ SV1419 @ SV273 ) @ ( c_Set_Oimage @ SV1419 @ SV768 @ SV1171 @ SV1516 ) @ SV1516 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3986]) ).
thf(4156,plain,
! [SV1517: $i,SV274: $i,SV1420: $i,SV1172: $i,SV769: $i] :
( ( ( hBOOL @ ( c_in @ SV769 @ SV1172 @ SV1420 ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ SV274 @ SV769 ) @ ( c_Set_Oimage @ SV274 @ SV1172 @ SV1420 @ SV1517 ) @ SV1517 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3987]) ).
thf(4157,plain,
! [SV1518: $i,SV275: $i,SV1421: $i,SV1173: $i,SV770: $i] :
( ( ( hBOOL @ ( c_in @ SV770 @ SV1173 @ SV1421 ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ SV275 @ SV770 ) @ ( c_Set_Oimage @ SV275 @ SV1173 @ SV1421 @ SV1518 ) @ SV1518 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3988]) ).
thf(4158,plain,
! [SV1559: $i,SV1519: $i,SV1422: $i,SV1174: $i,SV780: $i,SV287: $i] :
( ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV287 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV287 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV780 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1174 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1422 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1174 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1422 ) @ ( c_Message_Omsg_OAgent @ SV287 ) ) ) ) ) ) ) ) @ SV1519 @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1559 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV287 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1174 ) @ ( c_Message_Omsg_ONonce @ SV780 ) ) ) ) @ ( c_List_Oset @ SV1519 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1422 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1422 ) @ ( c_Event_Oused @ SV1519 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1519 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3989]) ).
thf(4159,plain,
! [SV1560: $i,SV1520: $i,SV1423: $i,SV1175: $i,SV781: $i,SV288: $i] :
( ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV288 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV288 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV781 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1175 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1423 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1175 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1423 ) @ ( c_Message_Omsg_OAgent @ SV288 ) ) ) ) ) ) ) ) @ SV1520 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1560 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV288 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1175 ) @ ( c_Message_Omsg_ONonce @ SV781 ) ) ) ) @ ( c_List_Oset @ SV1520 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1423 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1423 ) @ ( c_Event_Oused @ SV1520 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1520 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3990]) ).
thf(4160,plain,
! [SV782: $i,SV1176: $i,SV289: $i] :
( ( ( hBOOL @ ( c_in @ SV289 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV1176 @ SV782 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV1176 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV782 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV289 @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV782 ) ) @ ( c_Message_Oparts @ SV782 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3991]) ).
thf(4161,plain,
! [SV1424: $i,SV783: $i,SV1177: $i,SV290: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV290 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV1177 @ SV783 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( c_lessequals @ SV1424 @ SV783 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV1177 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1424 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV290 ) @ ( c_Message_Oanalz @ SV783 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3992]) ).
thf(4162,plain,
! [SV784: $i,SV1425: $i,SV1178: $i,SV291: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV291 ) @ ( c_Message_Oanalz @ SV1178 ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( c_lessequals @ SV1425 @ SV1178 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV784 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1425 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV291 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV784 @ SV1178 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3993]) ).
thf(4163,plain,
! [SV1583: $i,SV1561: $i,SV1521: $i,SV1426: $i,SV1179: $i,SV785: $i,SV292: $i] :
( ( ( hBOOL @ ( c_in @ SV292 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV785 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1179 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV785 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1426 @ SV1521 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1521 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1561 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1583 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1179 ) @ SV292 ) ) ) ) ) @ ( c_List_Oset @ SV785 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3994]) ).
thf(4164,plain,
! [SV1584: $i,SV1562: $i,SV1522: $i,SV1427: $i,SV1180: $i,SV786: $i,SV293: $i] :
( ( ! [SY3803: $i,SY3804: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV293 @ SV786 @ ( c_Message_Omsg_OCrypt @ SV1180 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1427 ) @ ( c_Message_Omsg_ONonce @ SV1427 ) ) ) ) @ SV1522 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1562 @ SV293 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV293 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1584 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV786 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1180 ) @ SY3803 ) ) ) ) ) @ ( c_List_Oset @ SV1522 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3804 @ SV293 @ ( c_Message_Omsg_OCrypt @ SV1180 @ ( c_Message_Omsg_ONonce @ SV1427 ) ) ) @ ( c_List_Oset @ SV1522 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1180 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1522 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3995]) ).
thf(4165,plain,
! [SV1585: $i,SV1563: $i,SV1523: $i,SV1428: $i,SV1183: $i,SV789: $i,SV296: $i] :
( ( ! [SY3805: $i,SY3806: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV296 @ SV789 @ ( c_Message_Omsg_OCrypt @ SV1183 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1428 ) @ ( c_Message_Omsg_ONonce @ SV1428 ) ) ) ) @ SV1523 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1563 @ SV296 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV296 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1585 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV789 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1183 ) @ SY3805 ) ) ) ) ) @ ( c_List_Oset @ SV1523 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3806 @ SV296 @ ( c_Message_Omsg_OCrypt @ SV1183 @ ( c_Message_Omsg_ONonce @ SV1428 ) ) ) @ ( c_List_Oset @ SV1523 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1183 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV1523 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3996]) ).
thf(4166,plain,
! [SV790: $i,SV297: $i,SV1184: $i,SV1429: $i] :
( ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1429 ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1184 ) @ ( c_Event_Oused @ SV1429 ) @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV297 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV297 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV790 ) @ ( c_Message_Omsg_ONonce @ SV1184 ) ) ) ) @ SV1429 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3997]) ).
thf(4167,plain,
! [SV791: $i,SV298: $i,SV1185: $i,SV1430: $i] :
( ( ( hBOOL @ ( c_in @ SV1430 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1185 ) @ ( c_Event_Oused @ SV1430 ) @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV298 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV298 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV791 ) @ ( c_Message_Omsg_ONonce @ SV1185 ) ) ) ) @ SV1430 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3998]) ).
thf(4168,plain,
! [SV794: $i,SV301: $i,SV1188: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1188 @ SV301 ) @ ( c_Message_Oanalz @ SV794 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV1188 ) ) @ ( c_Message_Oanalz @ SV794 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV301 @ ( c_Message_Oanalz @ SV794 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3999]) ).
thf(4169,plain,
! [SV807: $i,SV1196: $i,SV314: $i] :
( ( ( hBOOL @ ( c_in @ SV314 @ ( c_Message_Osynth @ ( c_Set_Oinsert @ SV1196 @ SV807 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV1196 @ ( c_Message_Osynth @ SV807 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV314 @ ( c_Message_Osynth @ SV807 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4000]) ).
thf(4170,plain,
! [SV817: $i,SV1202: $i,SV324: $i] :
( ( ( hBOOL @ ( c_in @ SV324 @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV1202 @ SV817 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV1202 @ ( c_Message_Oanalz @ SV817 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV324 @ ( c_Message_Oanalz @ SV817 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4001]) ).
thf(4171,plain,
! [SV1213: $i,SV830: $i,SV1437: $i,SV340: $i] :
( ( ( hBOOL @ ( c_in @ SV340 @ ( c_Set_Oinsert @ SV1437 @ SV830 @ SV1213 ) @ SV1213 ) )
= $false )
| ( ( SV340 = SV1437 )
= $true )
| ( ( hBOOL @ ( c_in @ SV340 @ SV830 @ SV1213 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4002]) ).
thf(4172,plain,
! [SV839: $i,SV1442: $i,SV349: $i,SV1221: $i] :
( ( ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV1221 @ SV349 @ SV1442 ) @ SV839 ) )
= $false )
| ( ( SV1221 = SV839 )
= $true )
| ( ( hBOOL @ ( hAPP @ SV349 @ SV839 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4006]) ).
thf(4173,plain,
! [SV848: $i,SV1226: $i,SV360: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV360 ) ) @ ( c_Message_Oanalz @ SV1226 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV360 ) @ ( c_Message_Oanalz @ SV1226 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV848 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1226 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV360 @ SV848 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1226 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4007]) ).
thf(4174,plain,
! [SV361: $i,SV849: $i,SV1227: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV1227 ) ) @ ( c_Message_Oanalz @ SV849 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1227 ) @ ( c_Message_Oanalz @ SV849 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1227 @ SV361 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV849 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV361 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV849 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4008]) ).
thf(4175,plain,
! [SV1586: $i,SV1564: $i,SV1525: $i,SV1445: $i,SV1231: $i,SV853: $i,SV365: $i] :
( ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV365 @ SV853 @ SV1231 ) @ SV1445 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV365 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV365 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV853 ) @ ( c_Message_Omsg_ONonce @ SV1525 ) ) ) ) @ ( c_List_Oset @ SV1445 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1564 @ SV365 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV365 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1525 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV853 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1586 ) @ SV1231 ) ) ) ) ) @ ( c_List_Oset @ SV1445 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV365 = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1445 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4011]) ).
thf(4176,plain,
! [SV1587: $i,SV1565: $i,SV1526: $i,SV1447: $i,SV1233: $i,SV855: $i,SV367: $i] :
( ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV367 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV855 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV1233 ) ) ) ) @ SV1447 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1526 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1526 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV367 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1565 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1233 ) @ SV1587 ) ) ) ) ) @ ( c_List_Oset @ SV1447 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1565 @ SV1526 @ ( c_Message_Omsg_OCrypt @ SV1233 @ ( c_Message_Omsg_ONonce @ SV855 ) ) ) @ ( c_List_Oset @ SV1447 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1447 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4013]) ).
thf(4177,plain,
! [SV369: $i,SV857: $i,SV1235: $i] :
( ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1235 ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV857 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1235 ) ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ SV369 @ SV857 ) @ SV1235 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4014]) ).
thf(4178,plain,
! [SV1588: $i,SV1566: $i,SV1527: $i,SV1448: $i,SV1236: $i,SV858: $i,SV370: $i] :
( ( ! [SY3807: $i] :
( ( hBOOL @ ( c_in @ SV370 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV858 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1236 @ SV1448 @ ( c_Message_Omsg_OCrypt @ SV1527 @ ( c_Message_Omsg_OMPair @ SV1566 @ ( c_Message_Omsg_OMPair @ SV1588 @ ( c_Message_Omsg_OMPair @ SY3807 @ SV370 ) ) ) ) ) @ ( c_List_Oset @ SV858 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4015]) ).
thf(4179,plain,
! [SV1567: $i,SV1528: $i,SV1449: $i,SV1237: $i,SV861: $i,SV373: $i] :
( ( ( hBOOL @ ( c_in @ SV373 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV861 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1237 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1237 ) @ ( c_Message_Omsg_OMPair @ SV1449 @ ( c_Message_Omsg_OMPair @ SV1528 @ ( c_Message_Omsg_OMPair @ SV373 @ SV1567 ) ) ) ) ) @ ( c_List_Oset @ SV861 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4018]) ).
thf(4180,plain,
! [SV1568: $i,SV1529: $i,SV1450: $i,SV1238: $i,SV862: $i,SV374: $i] :
( ( ( SV374
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV862 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1238 ) @ ( c_Message_Omsg_OAgent @ SV1450 ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1529 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SV1450 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1450 ) @ ( c_Message_Omsg_OMPair @ SV1568 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV862 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1238 ) @ SV374 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1529 ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4019]) ).
thf(4181,plain,
! [SV1589: $i,SV1569: $i,SV1530: $i,SV1451: $i,SV1239: $i,SV863: $i,SV375: $i] :
( ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV375 @ SV863 @ SV1239 ) @ SV1451 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV375 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV375 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV863 ) @ ( c_Message_Omsg_ONonce @ SV1530 ) ) ) ) @ ( c_List_Oset @ SV1451 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1569 @ SV375 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV375 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1530 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV863 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1589 ) @ SV1239 ) ) ) ) ) @ ( c_List_Oset @ SV1451 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV375 = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_in @ SV1451 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4020]) ).
thf(4182,plain,
! [SV1590: $i,SV1570: $i,SV1531: $i,SV1452: $i,SV1240: $i,SV864: $i,SV376: $i] :
( ( ( hBOOL @ ( c_in @ SV376 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV864 ) ) @ tc_Message_Omsg ) )
| ( SV376
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1240 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1452 ) @ ( c_Message_Omsg_OAgent @ SV1531 ) ) ) )
| ~ ( hBOOL @ ( c_in @ SV864 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1570 @ SV1531 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1531 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1590 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1240 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1452 ) @ SV376 ) ) ) ) ) @ ( c_List_Oset @ SV864 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4021]) ).
thf(4183,plain,
! [SV1591: $i,SV1571: $i,SV1532: $i,SV1453: $i,SV1241: $i,SV865: $i,SV377: $i] :
( ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV377 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV865 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV1241 ) ) ) ) @ SV1453 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1532 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1532 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV377 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1571 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1241 ) @ SV1591 ) ) ) ) ) @ ( c_List_Oset @ SV1453 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1571 @ SV1532 @ ( c_Message_Omsg_OCrypt @ SV1241 @ ( c_Message_Omsg_ONonce @ SV865 ) ) ) @ ( c_List_Oset @ SV1453 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1453 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4022]) ).
thf(4184,plain,
! [SV1572: $i,SV1533: $i,SV1454: $i,SV1242: $i,SV866: $i,SV378: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV378 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV378 ) @ ( c_Message_Omsg_OMPair @ SV866 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1242 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1454 ) @ SV1533 ) ) ) ) ) @ ( c_List_Oset @ SV1572 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1572 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SV378 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV378 ) @ ( c_Message_Omsg_OMPair @ SV866 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1242 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1454 ) @ SV1533 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1572 ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4023]) ).
thf(4185,plain,
! [SV873: $i,SV1248: $i,SV386: $i] :
( ( ( hBOOL @ ( c_in @ SV386 @ ( c_Message_Osynth @ SV1248 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV873 @ ( c_Message_Osynth @ SV1248 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV386 @ SV873 ) @ ( c_Message_Osynth @ SV1248 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4025]) ).
thf(4186,plain,
! [SV388: $i,SV875: $i,SV1250: $i] :
( ( ( hBOOL @ ( c_in @ SV1250 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV875 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1250 ) ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ SV388 @ SV875 ) @ SV1250 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4027]) ).
thf(4187,plain,
! [SV876: $i,SV389: $i,SV1251: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SV1251 @ SV389 ) @ ( c_List_Oset @ SV876 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV1251 @ c_Event_Obad @ tc_Message_Oagent ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV389 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV876 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4028]) ).
thf(4188,plain,
! [SV1592: $i,SV1573: $i,SV1534: $i,SV1457: $i,SV1252: $i,SV877: $i,SV390: $i] :
( ( ( SV390
= ( hAPP @ c_Public_OshrK @ SV877 ) )
| ~ ( hBOOL @ ( c_in @ SV1252 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV877 @ ( c_Message_Omsg_OCrypt @ SV390 @ ( c_Message_Omsg_OMPair @ SV1457 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1534 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1573 ) @ SV1592 ) ) ) ) ) @ ( c_List_Oset @ SV1252 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4029]) ).
thf(4189,plain,
! [SV880: $i,SV393: $i,SV1253: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1253 ) @ SV393 ) @ ( c_Message_Oanalz @ SV880 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV1253 ) ) @ ( c_Message_Oanalz @ SV880 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV393 @ ( c_Message_Oanalz @ SV880 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4030]) ).
thf(4190,plain,
! [SV1593: $i,SV1574: $i,SV1535: $i,SV1460: $i,SV1258: $i,SV885: $i,SV398: $i] :
( ( ! [SY3808: $i,SY3809: $i,SY3810: $i] :
( ( SV398 = SV885 )
| ~ ( hBOOL @ ( c_in @ SV1258 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV885 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV885 ) @ ( c_Message_Omsg_OMPair @ SV1460 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1535 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1574 ) @ SV1593 ) ) ) ) ) @ ( c_List_Oset @ SV1258 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV398 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV398 ) @ ( c_Message_Omsg_OMPair @ SY3808 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3809 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1574 ) @ SY3810 ) ) ) ) ) @ ( c_List_Oset @ SV1258 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4035]) ).
thf(4191,plain,
! [SV1594: $i,SV1575: $i,SV1536: $i,SV1461: $i,SV1259: $i,SV886: $i,SV399: $i] :
( ( ! [SY3811: $i,SY3812: $i,SY3813: $i] :
( ( SV399 = SV886 )
| ~ ( hBOOL @ ( c_in @ SV1259 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1461 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1461 ) @ ( c_Message_Omsg_OMPair @ SV886 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1536 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1575 ) @ SV1594 ) ) ) ) ) @ ( c_List_Oset @ SV1259 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3811 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3811 ) @ ( c_Message_Omsg_OMPair @ SV399 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3812 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1575 ) @ SY3813 ) ) ) ) ) @ ( c_List_Oset @ SV1259 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4036]) ).
thf(4192,plain,
! [SV1595: $i,SV1576: $i,SV1537: $i,SV1462: $i,SV1260: $i,SV887: $i,SV400: $i] :
( ( ! [SY3814: $i,SY3815: $i,SY3816: $i] :
( ( SV400 = SV887 )
| ~ ( hBOOL @ ( c_in @ SV1260 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1462 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1462 ) @ ( c_Message_Omsg_OMPair @ SV1537 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV887 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1576 ) @ SV1595 ) ) ) ) ) @ ( c_List_Oset @ SV1260 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3814 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3814 ) @ ( c_Message_Omsg_OMPair @ SY3815 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV400 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1576 ) @ SY3816 ) ) ) ) ) @ ( c_List_Oset @ SV1260 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4037]) ).
thf(4193,plain,
! [SV1596: $i,SV1577: $i,SV1538: $i,SV1463: $i,SV1261: $i,SV888: $i,SV401: $i] :
( ( ! [SY3817: $i,SY3818: $i,SY3819: $i] :
( ( SV401 = SV888 )
| ~ ( hBOOL @ ( c_in @ SV1261 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1463 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1463 ) @ ( c_Message_Omsg_OMPair @ SV1538 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1577 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1596 ) @ SV888 ) ) ) ) ) @ ( c_List_Oset @ SV1261 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3817 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3817 ) @ ( c_Message_Omsg_OMPair @ SY3818 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3819 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1596 ) @ SV401 ) ) ) ) ) @ ( c_List_Oset @ SV1261 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4038]) ).
thf(4194,plain,
! [SV890: $i,SV1262: $i,SV403: $i] :
( ( ( hBOOL @ ( c_in @ SV403 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1262 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV890 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1262 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV403 @ SV890 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1262 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4039]) ).
thf(4195,plain,
! [SV1265: $i,SV897: $i,SV1464: $i,SV410: $i] :
( ( ( hBOOL @ ( c_in @ SV410 @ ( c_List_Oset @ ( c_List_Olist_OCons @ SV1464 @ SV897 @ SV1265 ) @ SV1265 ) @ SV1265 ) )
= $false )
| ( ( SV410 = SV1464 )
= $true )
| ( ( hBOOL @ ( c_in @ SV410 @ ( c_List_Oset @ SV897 @ SV1265 ) @ SV1265 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4042]) ).
thf(4196,plain,
! [SV900: $i,SV413: $i,SV1268: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1268 ) @ SV413 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV900 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV1268 @ c_Event_Obad @ tc_Message_Oagent ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV413 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV900 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4043]) ).
thf(4197,plain,
! [SV1597: $i,SV1578: $i,SV1539: $i,SV1465: $i,SV1269: $i,SV904: $i,SV417: $i] :
( ( ( SV417
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV904 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1269 ) @ ( c_Message_Omsg_OAgent @ SV1465 ) ) ) )
| ~ ( hBOOL @ ( c_in @ SV1539 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1465 @ ( c_Message_Omsg_OCrypt @ SV1578 @ ( c_Message_Omsg_OMPair @ SV1597 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV904 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1269 ) @ SV417 ) ) ) ) ) @ ( c_List_Oset @ SV1539 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4044]) ).
thf(4198,plain,
! [SV1540: $i,SV1466: $i,SV1274: $i,SV910: $i,SV424: $i] :
( ( ( hBOOL @ ( c_in @ SV424 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV910 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV424 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV1274 @ SV1466 @ SV1540 ) @ SV910 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4049]) ).
thf(4199,plain,
! [SV425: $i,SV1275: $i,SV911: $i] :
( ( ( hBOOL @ ( c_in @ SV911 @ ( c_Message_Osynth @ SV1275 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV425 ) @ SV1275 @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV425 @ SV911 ) @ ( c_Message_Osynth @ SV1275 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4050]) ).
thf(4200,plain,
! [SV447: $i,SV1283: $i,SV933: $i] :
( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV933 @ SV1283 @ SV447 )
= SV1283 )
= $false )
| ( ( c_lessequals @ SV933 @ SV1283 @ SV447 )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV447 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4052]) ).
thf(4201,plain,
! [SV1542: $i,SV1469: $i,SV1284: $i,SV934: $i,SV448: $i] :
( ( ( ( c_Set_Oinsert @ SV448 @ ( c_Set_Oinsert @ SV934 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1284 @ tc_bool ) ) @ SV1284 ) @ SV1284 )
= ( c_Set_Oinsert @ SV1469 @ ( c_Set_Oinsert @ SV1542 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1284 @ tc_bool ) ) @ SV1284 ) @ SV1284 ) )
= $false )
| ( ( ( SV934 = SV1469 )
| ( SV448 = SV1469 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4053]) ).
thf(4202,plain,
! [SV950: $i,SV1295: $i,SV1473: $i,SV466: $i] :
( ( ( hBOOL @ ( c_in @ SV466 @ SV1473 @ SV1295 ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ SV466 @ SV950 @ SV1295 ) )
| ( SV950 = SV1473 ) )
= $true )
| ( ( ( c_Set_Oinsert @ SV466 @ SV950 @ SV1295 )
= ( c_Set_Oinsert @ SV466 @ SV1473 @ SV1295 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4056]) ).
thf(4203,plain,
! [SV1543: $i,SV1476: $i,SV1301: $i,SV957: $i,SV473: $i] :
( ( ( ( c_Set_Oinsert @ SV473 @ ( c_Set_Oinsert @ SV957 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1301 @ tc_bool ) ) @ SV1301 ) @ SV1301 )
= ( c_Set_Oinsert @ SV1476 @ ( c_Set_Oinsert @ SV1543 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1301 @ tc_bool ) ) @ SV1301 ) @ SV1301 ) )
= $false )
| ( ( ( SV473 = SV1543 )
| ( SV957 = SV1543 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4058]) ).
thf(4204,plain,
! [SV474: $i,SV1302: $i,SV958: $i] :
( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV958 @ SV1302 @ SV474 )
= ( c_Orderings_Obot__class_Obot @ SV474 ) )
= $false )
| ( ( SV1302
= ( c_Orderings_Obot__class_Obot @ SV474 ) )
= $true )
| ( ( class_Lattices_Obounded__lattice @ SV474 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4059]) ).
thf(4205,plain,
! [SV1579: $i,SV1544: $i,SV1477: $i,SV1303: $i,SV959: $i,SV475: $i] :
( ( ( ( c_Event_Oevent_OSays @ SV475 @ SV959 @ SV1303 )
!= ( c_Event_Oevent_OSays @ SV1477 @ SV1544 @ SV1579 ) )
= $true )
| ( ( SV1303 = SV1579 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4060]) ).
thf(4206,plain,
! [SV1545: $i,SV1479: $i,SV1305: $i,SV961: $i,SV477: $i] :
( ( ( ( c_List_Olist_OCons @ SV477 @ SV961 @ SV1305 )
= ( c_List_Olist_OCons @ SV1479 @ SV1545 @ SV1305 ) )
= $false )
| ( ( SV477 = SV1479 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4062]) ).
thf(4207,plain,
! [SV963: $i,SV479: $i,SV1480: $i,SV1307: $i] :
( ( ( ( c_Message_Oanalz @ SV1307 )
!= ( c_Message_Oanalz @ SV1480 ) )
= $true )
| ( ( ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1307 @ SV479 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1480 @ SV963 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true )
| ( ( ( c_Message_Oanalz @ SV479 )
= ( c_Message_Oanalz @ SV963 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4063]) ).
thf(4208,plain,
! [SV1546: $i,SV1482: $i,SV1310: $i,SV966: $i,SV483: $i] :
( ( ( ( c_Set_Oinsert @ SV483 @ ( c_Set_Oinsert @ SV966 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1310 @ tc_bool ) ) @ SV1310 ) @ SV1310 )
= ( c_Set_Oinsert @ SV1482 @ ( c_Set_Oinsert @ SV1546 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1310 @ tc_bool ) ) @ SV1310 ) @ SV1310 ) )
= $false )
| ( ( ( SV483 = SV1546 )
| ( SV483 = SV1482 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4065]) ).
thf(4209,plain,
! [SV1311: $i,SV484: $i,SV967: $i] :
( ( ( ( c_HOL_Ouminus__class_Ouminus @ SV967 @ SV484 )
= ( c_HOL_Ouminus__class_Ouminus @ SV1311 @ SV484 ) )
= $false )
| ( ( SV967 = SV1311 )
= $true )
| ( ( class_OrderedGroup_Ogroup__add @ SV484 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4066]) ).
thf(4210,plain,
! [SV1317: $i,SV492: $i,SV975: $i] :
( ( ( ( c_HOL_Ouminus__class_Ouminus @ SV975 @ SV492 )
= ( c_HOL_Ouminus__class_Ouminus @ SV1317 @ SV492 ) )
= $false )
| ( ( SV975 = SV1317 )
= $true )
| ( ( class_Lattices_Oboolean__algebra @ SV492 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4069]) ).
thf(4211,plain,
! [SV1548: $i,SV1489: $i,SV1322: $i,SV980: $i,SV497: $i] :
( ( ( ( c_List_Olist_OCons @ SV497 @ SV980 @ SV1322 )
= ( c_List_Olist_OCons @ SV1489 @ SV1548 @ SV1322 ) )
= $false )
| ( ( SV980 = SV1548 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4072]) ).
thf(4212,plain,
! [SV1580: $i,SV1549: $i,SV1491: $i,SV1325: $i,SV983: $i,SV500: $i] :
( ( ( ( c_Event_Oevent_OSays @ SV500 @ SV983 @ SV1325 )
!= ( c_Event_Oevent_OSays @ SV1491 @ SV1549 @ SV1580 ) )
= $true )
| ( ( SV500 = SV1491 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4073]) ).
thf(4213,plain,
! [SV1550: $i,SV1493: $i,SV1327: $i,SV986: $i,SV504: $i] :
( ( ( ( c_Set_Oinsert @ SV504 @ ( c_Set_Oinsert @ SV986 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1327 @ tc_bool ) ) @ SV1327 ) @ SV1327 )
= ( c_Set_Oinsert @ SV1493 @ ( c_Set_Oinsert @ SV1550 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1327 @ tc_bool ) ) @ SV1327 ) @ SV1327 ) )
= $false )
| ( ( ( SV986 = SV1493 )
| ( SV986 = SV1550 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4075]) ).
thf(4214,plain,
! [SV1581: $i,SV1552: $i,SV1496: $i,SV1334: $i,SV994: $i,SV513: $i] :
( ( ( ( c_Event_Oevent_OSays @ SV513 @ SV994 @ SV1334 )
!= ( c_Event_Oevent_OSays @ SV1496 @ SV1552 @ SV1581 ) )
= $true )
| ( ( SV994 = SV1552 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4078]) ).
thf(4215,plain,
! [SV516: $i,SV1337: $i,SV997: $i] :
( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV997 @ SV1337 @ SV516 )
= ( c_Orderings_Obot__class_Obot @ SV516 ) )
= $false )
| ( ( SV997
= ( c_Orderings_Obot__class_Obot @ SV516 ) )
= $true )
| ( ( class_Lattices_Obounded__lattice @ SV516 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4079]) ).
thf(4216,plain,
! [SV1016: $i,SV40: $i,SV552: $i] :
( ( ( SV552 = c_Message_Oagent_OSpy )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV40 @ ( c_Event_Oknows @ SV552 @ SV1016 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV552 @ ( c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1 @ SV552 @ SV40 @ SV1016 ) @ SV40 ) @ ( c_List_Oset @ SV1016 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OGets @ SV552 @ SV40 ) @ ( c_List_Oset @ SV1016 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SV552 @ SV40 ) @ ( c_List_Oset @ SV1016 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV40 @ ( c_Event_OinitState @ SV552 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4089]) ).
thf(4217,plain,
! [SV43: $i,SV1019: $i,SV555: $i] :
( ( ( c_lessequals @ SV555 @ ( c_HOL_Ouminus__class_Ouminus @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ ( tc_fun @ tc_nat @ tc_bool ) ) @ ( tc_fun @ tc_nat @ tc_bool ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV1019 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV43 @ SV555 @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV43 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV555 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1019 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4090]) ).
thf(4218,plain,
! [SV44: $i,SV556: $i,SV1020: $i] :
( ( ( ~ ( c_lessequals @ SV1020 @ ( c_HOL_Ouminus__class_Ouminus @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ ( tc_fun @ tc_nat @ tc_bool ) ) @ ( tc_fun @ tc_nat @ tc_bool ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV556 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV44 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV1020 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV556 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV44 @ SV1020 @ tc_nat ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV44 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV556 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4091]) ).
thf(4219,plain,
! [SV51: $i,SV1026: $i,SV563: $i] :
( ( ( c_lessequals @ SV563 @ ( c_HOL_Ouminus__class_Ouminus @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ ( tc_fun @ tc_nat @ tc_bool ) ) @ ( tc_fun @ tc_nat @ tc_bool ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV1026 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV51 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1026 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV51 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV563 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1026 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4094]) ).
thf(4220,plain,
! [SV1048: $i,SV104: $i,SV609: $i,SV1346: $i] :
( ( ( hBOOL @ ( c_in @ SV1346 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV609 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV104 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV1346 @ SV1048 @ tc_Message_Omsg ) ) ) @ tc_nat ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV104 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1048 @ SV609 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) ) @ tc_nat ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV104 ) ) @ ( c_Message_Oparts @ SV609 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4099]) ).
thf(4221,plain,
! [SV610: $i,SV105: $i] :
( ( ( hBOOL @ ( c_in @ SV105 @ c_Message_OsymKeys @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV105 ) @ ( c_Event_Oused @ SV610 ) @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV610 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV105 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV610 ) ) ) @ tc_nat ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4100]) ).
thf(4222,plain,
! [SV1349: $i,SV108: $i,SV1051: $i,SV1502: $i,SV613: $i] :
( ( ( c_lessequals @ SV613 @ SV1502 @ ( tc_fun @ SV1051 @ tc_bool ) )
= $false )
| ( ( ~ ( c_lessequals @ SV108 @ SV1349 @ ( tc_fun @ SV1051 @ tc_bool ) ) )
= $true )
| ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV108 @ SV613 @ ( tc_fun @ SV1051 @ tc_bool ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1349 @ SV1502 @ ( tc_fun @ SV1051 @ tc_bool ) ) @ ( tc_fun @ SV1051 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4101]) ).
thf(4223,plain,
! [SV1052: $i,SV112: $i,SV617: $i,SV1350: $i] :
( ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1350 @ SV617 @ SV112 ) @ SV1052 @ SV112 )
= $false )
| ( ( c_lessequals @ SV617 @ SV1052 @ SV112 )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV112 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4102]) ).
thf(4224,plain,
! [SV1053: $i,SV113: $i,SV1351: $i,SV618: $i] :
( ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV618 @ SV1351 @ SV113 ) @ SV1053 @ SV113 )
= $false )
| ( ( c_lessequals @ SV618 @ SV1053 @ SV113 )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV113 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4103]) ).
thf(4225,plain,
! [SV1054: $i,SV114: $i,SV1352: $i,SV619: $i] :
( ( ( c_lessequals @ SV619 @ SV1352 @ SV114 )
= $false )
| ( ( c_lessequals @ SV619 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1054 @ SV1352 @ SV114 ) @ SV114 )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV114 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4104]) ).
thf(4226,plain,
! [SV1353: $i,SV115: $i,SV1055: $i,SV620: $i] :
( ( ( c_lessequals @ SV620 @ SV1055 @ SV115 )
= $false )
| ( ( c_lessequals @ SV620 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1055 @ SV1353 @ SV115 ) @ SV115 )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV115 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4105]) ).
thf(4227,plain,
! [SV1056: $i,SV116: $i,SV621: $i,SV1354: $i] :
( ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1354 @ SV621 @ SV116 ) @ SV1056 @ SV116 )
= $false )
| ( ( c_lessequals @ SV621 @ SV1056 @ SV116 )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV116 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4106]) ).
thf(4228,plain,
! [SV1057: $i,SV117: $i,SV1355: $i,SV622: $i] :
( ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV622 @ SV1355 @ SV117 ) @ SV1057 @ SV117 )
= $false )
| ( ( c_lessequals @ SV622 @ SV1057 @ SV117 )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV117 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4107]) ).
thf(4229,plain,
! [SV1060: $i,SV120: $i,SV1358: $i,SV625: $i] :
( ( ( ~ ( c_lessequals @ SV625 @ SV1358 @ SV120 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1358 @ SV1060 @ SV120 ) )
= $true )
| ( ( c_lessequals @ SV625 @ SV1060 @ SV120 )
= $true )
| ( ( class_Orderings_Oorder @ SV120 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4108]) ).
thf(4230,plain,
! [SV626: $i,SV121: $i,SV1061: $i,SV1359: $i] :
( ( ( ~ ( c_lessequals @ SV1359 @ SV1061 @ SV121 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV626 @ SV1359 @ SV121 ) )
= $true )
| ( ( c_lessequals @ SV626 @ SV1061 @ SV121 )
= $true )
| ( ( class_Orderings_Opreorder @ SV121 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4109]) ).
thf(4231,plain,
! [SV629: $i,SV1062: $i,SV1360: $i,SV124: $i] :
( ( ( c_lessequals @ SV124 @ SV1360 @ ( tc_fun @ SV1062 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV1360 @ SV629 @ ( tc_fun @ SV1062 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV124 @ SV629 @ ( tc_fun @ SV1062 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4110]) ).
thf(4232,plain,
! [SV630: $i,SV1361: $i,SV125: $i,SV1063: $i] :
( ( ( c_lessequals @ SV1063 @ SV125 @ ( tc_fun @ SV1361 @ tc_bool ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV1063 @ SV630 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV125 @ SV630 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4111]) ).
thf(4233,plain,
! [SV1362: $i,SV128: $i,SV633: $i,SV1064: $i] :
( ( ( hBOOL @ ( hAPP @ SV1064 @ SV633 ) )
= $false )
| ( ( c_lessequals @ SV1064 @ SV128 @ ( tc_fun @ SV1362 @ tc_bool ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV128 @ SV633 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4112]) ).
thf(4234,plain,
! [SV1367: $i,SV638: $i,SV1069: $i,SV133: $i] :
( ( ( c_lessequals @ ( c_Message_Oanalz @ SV133 ) @ ( c_Message_Oanalz @ SV1069 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( c_lessequals @ ( c_Message_Oanalz @ SV638 ) @ ( c_Message_Oanalz @ SV1367 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV133 @ SV638 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1069 @ SV1367 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4115]) ).
thf(4235,plain,
! [SV648: $i,SV1079: $i,SV1374: $i,SV145: $i] :
( ( ( hBOOL @ ( c_in @ SV145 @ SV1374 @ SV1079 ) )
= $false )
| ( ( c_lessequals @ SV648 @ SV1374 @ ( tc_fun @ SV1079 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ ( c_Set_Oinsert @ SV145 @ SV648 @ SV1079 ) @ SV1374 @ ( tc_fun @ SV1079 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4121]) ).
thf(4236,plain,
! [SV656: $i,SV153: $i,SV1087: $i] :
( ( ( hBOOL @ ( c_in @ SV1087 @ c_Message_OsymKeys @ tc_nat ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1087 @ SV153 ) @ ( c_Message_Oanalz @ SV656 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1087 ) @ ( c_Message_Oanalz @ SV656 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV153 @ ( c_Message_Oanalz @ SV656 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4124]) ).
thf(4237,plain,
! [SV1092: $i,SV667: $i,SV1375: $i,SV167: $i] :
( ( ( hBOOL @ ( c_in @ SV167 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV1375 @ SV667 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV1375 @ ( c_Message_Oparts @ SV1092 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV167 @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV667 @ SV1092 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4126]) ).
thf(4238,plain,
! [SV174: $i,SV674: $i,SV1096: $i] :
( ( ( hBOOL @ ( c_in @ SV1096 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV674 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV174 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV1096 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV674 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( SV174 = SV1096 )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV174 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV674 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4128]) ).
thf(4239,plain,
! [SV175: $i,SV675: $i,SV1097: $i] :
( ( ( hBOOL @ ( c_in @ SV1097 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV675 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV175 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1097 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV175 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV675 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1097 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4129]) ).
thf(4240,plain,
! [SV1582: $i,SV1554: $i,SV1508: $i,SV1379: $i,SV1101: $i,SV679: $i,SV179: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV179 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV679 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1101 @ ( c_Message_Omsg_OCrypt @ SV1379 @ ( c_Message_Omsg_OMPair @ SV1508 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1554 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV179 ) @ SV1582 ) ) ) ) ) @ ( c_List_Oset @ SV679 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4130]) ).
thf(4241,plain,
! [SV1381: $i,SV1509: $i,SV683: $i,SV1104: $i,SV183: $i,SV1555: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1555 @ SV183 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV183 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1104 ) @ ( c_Message_Omsg_OAgent @ SV683 ) ) ) ) @ ( c_List_Oset @ SV1509 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1104 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1381 ) @ ( c_Event_Oused @ SV1509 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1509 ) ) )
= $true )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV183 @ SV683 @ ( c_Message_Omsg_OCrypt @ SV1104 @ ( c_Message_Omsg_ONonce @ SV1381 ) ) ) @ SV1509 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4131]) ).
thf(4242,plain,
! [SV1383: $i,SV1510: $i,SV688: $i,SV1109: $i,SV188: $i,SV1556: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1556 @ SV188 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV188 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1109 ) @ ( c_Message_Omsg_OAgent @ SV688 ) ) ) ) @ ( c_List_Oset @ SV1510 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1109 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1383 ) @ ( c_Event_Oused @ SV1510 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1510 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV188 @ SV688 @ ( c_Message_Omsg_OCrypt @ SV1109 @ ( c_Message_Omsg_ONonce @ SV1383 ) ) ) @ SV1510 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4132]) ).
thf(4243,plain,
! [SV1557: $i,SV1511: $i,SV1384: $i,SV1110: $i,SV689: $i,SV189: $i] :
( ( ( hBOOL @ ( c_in @ SV189 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV689 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SV1110 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1110 ) @ ( c_Message_Omsg_OMPair @ SV1384 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1511 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV189 ) @ SV1557 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV689 ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4133]) ).
thf(4244,plain,
! [SV194: $i,SV1115: $i,SV694: $i] :
( ( ( c_lessequals @ SV694 @ SV1115 @ SV194 )
= $false )
| ( ( ~ ( c_lessequals @ SV1115 @ SV694 @ SV194 ) )
= $true )
| ( ( SV694 = SV1115 )
= $true )
| ( ( class_Orderings_Oorder @ SV194 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4136]) ).
thf(4245,plain,
! [SV195: $i,SV695: $i,SV1116: $i] :
( ( ( c_lessequals @ SV1116 @ SV695 @ SV195 )
= $false )
| ( ( ~ ( c_lessequals @ SV695 @ SV1116 @ SV195 ) )
= $true )
| ( ( SV695 = SV1116 )
= $true )
| ( ( class_Orderings_Oorder @ SV195 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4137]) ).
thf(4246,plain,
! [SV196: $i,SV696: $i,SV1117: $i] :
( ( ( c_lessequals @ SV1117 @ SV696 @ SV196 )
= $false )
| ( ( ~ ( c_lessequals @ SV696 @ SV1117 @ SV196 ) )
= $true )
| ( ( SV696 = SV1117 )
= $true )
| ( ( class_Orderings_Oorder @ SV196 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4138]) ).
thf(4247,plain,
! [SV1132: $i,SV1395: $i,SV225: $i,SV1558: $i,SV1512: $i,SV720: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV720 @ SV1512 @ SV1558 ) ) )
= $true )
| ( ( ~ ( c_lessequals @ ( c_Set_Oimage @ SV225 @ SV1512 @ SV1558 @ SV1395 ) @ SV1132 @ ( tc_fun @ SV1395 @ tc_bool ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ SV225 @ SV720 ) @ SV1132 @ SV1395 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4142]) ).
thf(4248,plain,
! [SV735: $i,SV1143: $i,SV1404: $i,SV240: $i] :
( ( ( c_lessequals @ SV240 @ SV1404 @ ( tc_fun @ SV1143 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV735 @ SV1404 @ ( tc_fun @ SV1143 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV240 @ SV735 @ ( tc_fun @ SV1143 @ tc_bool ) ) @ SV1404 @ ( tc_fun @ SV1143 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4143]) ).
thf(4249,plain,
! [SV738: $i,SV1146: $i,SV1405: $i,SV243: $i] :
( ( ( c_lessequals @ SV243 @ SV1405 @ ( tc_fun @ SV1146 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV738 @ SV1405 @ ( tc_fun @ SV1146 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV243 @ SV738 @ ( tc_fun @ SV1146 @ tc_bool ) ) @ SV1405 @ ( tc_fun @ SV1146 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4144]) ).
thf(4250,plain,
! [SV739: $i,SV244: $i,SV1406: $i,SV1147: $i] :
( ( ( ~ ( c_lessequals @ SV1147 @ SV1406 @ SV244 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV739 @ SV1406 @ SV244 ) )
= $true )
| ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV739 @ SV1147 @ SV244 ) @ SV1406 @ SV244 )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV244 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4145]) ).
thf(4251,plain,
! [SV742: $i,SV247: $i,SV1407: $i,SV1150: $i] :
( ( ( ~ ( c_lessequals @ SV1150 @ SV1407 @ SV247 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV742 @ SV1407 @ SV247 ) )
= $true )
| ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV742 @ SV1150 @ SV247 ) @ SV1407 @ SV247 )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV247 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4146]) ).
thf(4252,plain,
! [SV743: $i,SV248: $i,SV1408: $i,SV1151: $i] :
( ( ( ~ ( c_lessequals @ SV1151 @ SV1408 @ SV248 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV743 @ SV1408 @ SV248 ) )
= $true )
| ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV743 @ SV1151 @ SV248 ) @ SV1408 @ SV248 )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV248 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4147]) ).
thf(4253,plain,
! [SV1514: $i,SV262: $i,SV1410: $i,SV1162: $i,SV757: $i] :
( ( ( c_lessequals @ ( hAPP @ SV757 @ SV1162 ) @ ( hAPP @ SV1410 @ SV1162 ) @ SV262 )
= $true )
| ( ( ~ ( c_lessequals @ SV757 @ SV1410 @ ( tc_fun @ SV1514 @ SV262 ) ) )
= $true )
| ( ( class_HOL_Oord @ SV262 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4148]) ).
thf(4254,plain,
! [SV264: $i,SV1163: $i,SV759: $i,SV1411: $i] :
( ( ( c_lessequals @ SV1411 @ SV759 @ ( tc_fun @ SV1163 @ tc_bool ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV264 @ SV1411 @ SV1163 ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV264 @ SV759 @ SV1163 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4149]) ).
thf(4255,plain,
! [SV760: $i,SV1164: $i,SV1412: $i,SV265: $i] :
( ( ( hBOOL @ ( c_in @ SV265 @ SV1412 @ SV1164 ) )
= $false )
| ( ( c_lessequals @ SV1412 @ SV760 @ ( tc_fun @ SV1164 @ tc_bool ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV265 @ SV760 @ SV1164 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4150]) ).
thf(4256,plain,
! [SV266: $i,SV1165: $i,SV761: $i,SV1413: $i] :
( ( ( c_lessequals @ SV1413 @ SV761 @ ( tc_fun @ SV1165 @ tc_bool ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV266 @ SV1413 @ SV1165 ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV266 @ SV761 @ SV1165 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4151]) ).
thf(4257,plain,
! [SV267: $i,SV1166: $i,SV762: $i,SV1414: $i] :
( ( ( c_lessequals @ SV1414 @ SV762 @ ( tc_fun @ SV1166 @ tc_bool ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV267 @ SV1414 @ SV1166 ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV267 @ SV762 @ SV1166 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4152]) ).
thf(4258,plain,
! [SV1422: $i,SV1519: $i,SV780: $i,SV1174: $i,SV287: $i,SV1559: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1559 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV287 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1174 ) @ ( c_Message_Omsg_ONonce @ SV780 ) ) ) ) @ ( c_List_Oset @ SV1519 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1422 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1422 ) @ ( c_Event_Oused @ SV1519 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1519 ) ) )
= $true )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV287 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV287 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV780 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1174 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1422 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1174 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1422 ) @ ( c_Message_Omsg_OAgent @ SV287 ) ) ) ) ) ) ) ) @ SV1519 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4158]) ).
thf(4259,plain,
! [SV1423: $i,SV1520: $i,SV781: $i,SV1175: $i,SV288: $i,SV1560: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1560 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV288 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1175 ) @ ( c_Message_Omsg_ONonce @ SV781 ) ) ) ) @ ( c_List_Oset @ SV1520 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1423 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1423 ) @ ( c_Event_Oused @ SV1520 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1520 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV288 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV288 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV781 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1175 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1423 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1175 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1423 ) @ ( c_Message_Omsg_OAgent @ SV288 ) ) ) ) ) ) ) ) @ SV1520 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4159]) ).
thf(4260,plain,
! [SV290: $i,SV1177: $i,SV783: $i,SV1424: $i] :
( ( ( ~ ( c_lessequals @ SV1424 @ SV783 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1177 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1424 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV290 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV1177 @ SV783 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV290 ) @ ( c_Message_Oanalz @ SV783 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4161]) ).
thf(4261,plain,
! [SV291: $i,SV784: $i,SV1178: $i,SV1425: $i] :
( ( ( ~ ( c_lessequals @ SV1425 @ SV1178 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV784 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1425 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV291 ) @ ( c_Message_Oanalz @ SV1178 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV291 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV784 @ SV1178 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4162]) ).
thf(4262,plain,
! [SV1583: $i,SV1561: $i,SV1521: $i,SV1426: $i,SV1179: $i,SV785: $i,SV292: $i] :
( ( ( hBOOL @ ( c_in @ SV292 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV785 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1179 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV785 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1426 @ SV1521 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1521 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1561 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1583 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1179 ) @ SV292 ) ) ) ) ) @ ( c_List_Oset @ SV785 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4163]) ).
thf(4263,plain,
! [SV1598: $i,SV1584: $i,SV1562: $i,SV1522: $i,SV1427: $i,SV1180: $i,SV786: $i,SV293: $i] :
( ( ! [SY3820: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV293 @ SV786 @ ( c_Message_Omsg_OCrypt @ SV1180 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1427 ) @ ( c_Message_Omsg_ONonce @ SV1427 ) ) ) ) @ SV1522 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1562 @ SV293 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV293 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1584 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV786 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1180 ) @ SV1598 ) ) ) ) ) @ ( c_List_Oset @ SV1522 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3820 @ SV293 @ ( c_Message_Omsg_OCrypt @ SV1180 @ ( c_Message_Omsg_ONonce @ SV1427 ) ) ) @ ( c_List_Oset @ SV1522 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1180 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1522 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4164]) ).
thf(4264,plain,
! [SV1599: $i,SV1585: $i,SV1563: $i,SV1523: $i,SV1428: $i,SV1183: $i,SV789: $i,SV296: $i] :
( ( ! [SY3821: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV296 @ SV789 @ ( c_Message_Omsg_OCrypt @ SV1183 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1428 ) @ ( c_Message_Omsg_ONonce @ SV1428 ) ) ) ) @ SV1523 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1563 @ SV296 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV296 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1585 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV789 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1183 ) @ SV1599 ) ) ) ) ) @ ( c_List_Oset @ SV1523 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3821 @ SV296 @ ( c_Message_Omsg_OCrypt @ SV1183 @ ( c_Message_Omsg_ONonce @ SV1428 ) ) ) @ ( c_List_Oset @ SV1523 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1183 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV1523 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4165]) ).
thf(4265,plain,
! [SV848: $i,SV1226: $i,SV360: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV360 ) ) @ ( c_Message_Oanalz @ SV1226 ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV360 ) @ ( c_Message_Oanalz @ SV1226 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV848 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1226 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV360 @ SV848 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1226 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4173]) ).
thf(4266,plain,
! [SV361: $i,SV849: $i,SV1227: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV1227 ) ) @ ( c_Message_Oanalz @ SV849 ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1227 ) @ ( c_Message_Oanalz @ SV849 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1227 @ SV361 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV849 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV361 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV849 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4174]) ).
thf(4267,plain,
! [SV1586: $i,SV1564: $i,SV1525: $i,SV1445: $i,SV1231: $i,SV853: $i,SV365: $i] :
( ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV365 @ SV853 @ SV1231 ) @ SV1445 @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV365 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV365 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV853 ) @ ( c_Message_Omsg_ONonce @ SV1525 ) ) ) ) @ ( c_List_Oset @ SV1445 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1564 @ SV365 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV365 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1525 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV853 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1586 ) @ SV1231 ) ) ) ) ) @ ( c_List_Oset @ SV1445 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV365 = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1445 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4175]) ).
thf(4268,plain,
! [SV1587: $i,SV1565: $i,SV1526: $i,SV1447: $i,SV1233: $i,SV855: $i,SV367: $i] :
( ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV367 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV855 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV1233 ) ) ) ) @ SV1447 @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1526 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1526 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV367 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1565 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1233 ) @ SV1587 ) ) ) ) ) @ ( c_List_Oset @ SV1447 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1565 @ SV1526 @ ( c_Message_Omsg_OCrypt @ SV1233 @ ( c_Message_Omsg_ONonce @ SV855 ) ) ) @ ( c_List_Oset @ SV1447 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1447 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4176]) ).
thf(4269,plain,
! [SV1600: $i,SV1588: $i,SV1566: $i,SV1527: $i,SV1448: $i,SV1236: $i,SV858: $i,SV370: $i] :
( ( ( hBOOL @ ( c_in @ SV370 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV858 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1236 @ SV1448 @ ( c_Message_Omsg_OCrypt @ SV1527 @ ( c_Message_Omsg_OMPair @ SV1566 @ ( c_Message_Omsg_OMPair @ SV1588 @ ( c_Message_Omsg_OMPair @ SV1600 @ SV370 ) ) ) ) ) @ ( c_List_Oset @ SV858 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4178]) ).
thf(4270,plain,
! [SV861: $i,SV1567: $i,SV373: $i,SV1528: $i,SV1449: $i,SV1237: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1237 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1237 ) @ ( c_Message_Omsg_OMPair @ SV1449 @ ( c_Message_Omsg_OMPair @ SV1528 @ ( c_Message_Omsg_OMPair @ SV373 @ SV1567 ) ) ) ) ) @ ( c_List_Oset @ SV861 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV373 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV861 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4179]) ).
thf(4271,plain,
! [SV374: $i,SV1238: $i,SV862: $i,SV1568: $i,SV1450: $i,SV1529: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV1529 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ SV1450 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1450 ) @ ( c_Message_Omsg_OMPair @ SV1568 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV862 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1238 ) @ SV374 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1529 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( SV374
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV862 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1238 ) @ ( c_Message_Omsg_OAgent @ SV1450 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4180]) ).
thf(4272,plain,
! [SV1589: $i,SV1569: $i,SV1530: $i,SV1451: $i,SV1239: $i,SV863: $i,SV375: $i] :
( ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV375 @ SV863 @ SV1239 ) @ SV1451 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV375 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV375 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV863 ) @ ( c_Message_Omsg_ONonce @ SV1530 ) ) ) ) @ ( c_List_Oset @ SV1451 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1569 @ SV375 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV375 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1530 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV863 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1589 ) @ SV1239 ) ) ) ) ) @ ( c_List_Oset @ SV1451 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV375 = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_in @ SV1451 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4181]) ).
thf(4273,plain,
! [SV1590: $i,SV1570: $i,SV1531: $i,SV1452: $i,SV1240: $i,SV864: $i,SV376: $i] :
( ( ( hBOOL @ ( c_in @ SV376 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV864 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ( SV376
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1240 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1452 ) @ ( c_Message_Omsg_OAgent @ SV1531 ) ) ) )
| ~ ( hBOOL @ ( c_in @ SV864 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1570 @ SV1531 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1531 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1590 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1240 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1452 ) @ SV376 ) ) ) ) ) @ ( c_List_Oset @ SV864 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4182]) ).
thf(4274,plain,
! [SV1591: $i,SV1571: $i,SV1532: $i,SV1453: $i,SV1241: $i,SV865: $i,SV377: $i] :
( ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV377 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV865 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV1241 ) ) ) ) @ SV1453 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1532 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1532 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV377 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1571 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1241 ) @ SV1591 ) ) ) ) ) @ ( c_List_Oset @ SV1453 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1571 @ SV1532 @ ( c_Message_Omsg_OCrypt @ SV1241 @ ( c_Message_Omsg_ONonce @ SV865 ) ) ) @ ( c_List_Oset @ SV1453 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1453 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4183]) ).
thf(4275,plain,
! [SV1533: $i,SV1454: $i,SV1242: $i,SV866: $i,SV378: $i,SV1572: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV1572 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ SV378 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV378 ) @ ( c_Message_Omsg_OMPair @ SV866 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1242 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1454 ) @ SV1533 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1572 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV378 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV378 ) @ ( c_Message_Omsg_OMPair @ SV866 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1242 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1454 ) @ SV1533 ) ) ) ) ) @ ( c_List_Oset @ SV1572 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4184]) ).
thf(4276,plain,
! [SV1592: $i,SV1573: $i,SV1534: $i,SV1457: $i,SV1252: $i,SV877: $i,SV390: $i] :
( ( ( SV390
= ( hAPP @ c_Public_OshrK @ SV877 ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1252 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV877 @ ( c_Message_Omsg_OCrypt @ SV390 @ ( c_Message_Omsg_OMPair @ SV1457 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1534 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1573 ) @ SV1592 ) ) ) ) ) @ ( c_List_Oset @ SV1252 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4188]) ).
thf(4277,plain,
! [SV1601: $i,SV1593: $i,SV1574: $i,SV1535: $i,SV1460: $i,SV1258: $i,SV885: $i,SV398: $i] :
( ( ! [SY3822: $i,SY3823: $i] :
( ( SV398 = SV885 )
| ~ ( hBOOL @ ( c_in @ SV1258 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV885 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV885 ) @ ( c_Message_Omsg_OMPair @ SV1460 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1535 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1574 ) @ SV1593 ) ) ) ) ) @ ( c_List_Oset @ SV1258 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV398 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV398 ) @ ( c_Message_Omsg_OMPair @ SV1601 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3822 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1574 ) @ SY3823 ) ) ) ) ) @ ( c_List_Oset @ SV1258 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4190]) ).
thf(4278,plain,
! [SV1602: $i,SV1594: $i,SV1575: $i,SV1536: $i,SV1461: $i,SV1259: $i,SV886: $i,SV399: $i] :
( ( ! [SY3824: $i,SY3825: $i] :
( ( SV399 = SV886 )
| ~ ( hBOOL @ ( c_in @ SV1259 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1461 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1461 ) @ ( c_Message_Omsg_OMPair @ SV886 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1536 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1575 ) @ SV1594 ) ) ) ) ) @ ( c_List_Oset @ SV1259 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1602 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1602 ) @ ( c_Message_Omsg_OMPair @ SV399 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3824 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1575 ) @ SY3825 ) ) ) ) ) @ ( c_List_Oset @ SV1259 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4191]) ).
thf(4279,plain,
! [SV1603: $i,SV1595: $i,SV1576: $i,SV1537: $i,SV1462: $i,SV1260: $i,SV887: $i,SV400: $i] :
( ( ! [SY3826: $i,SY3827: $i] :
( ( SV400 = SV887 )
| ~ ( hBOOL @ ( c_in @ SV1260 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1462 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1462 ) @ ( c_Message_Omsg_OMPair @ SV1537 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV887 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1576 ) @ SV1595 ) ) ) ) ) @ ( c_List_Oset @ SV1260 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1603 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1603 ) @ ( c_Message_Omsg_OMPair @ SY3826 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV400 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1576 ) @ SY3827 ) ) ) ) ) @ ( c_List_Oset @ SV1260 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4192]) ).
thf(4280,plain,
! [SV1604: $i,SV1596: $i,SV1577: $i,SV1538: $i,SV1463: $i,SV1261: $i,SV888: $i,SV401: $i] :
( ( ! [SY3828: $i,SY3829: $i] :
( ( SV401 = SV888 )
| ~ ( hBOOL @ ( c_in @ SV1261 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1463 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1463 ) @ ( c_Message_Omsg_OMPair @ SV1538 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1577 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1596 ) @ SV888 ) ) ) ) ) @ ( c_List_Oset @ SV1261 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1604 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1604 ) @ ( c_Message_Omsg_OMPair @ SY3828 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3829 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1596 ) @ SV401 ) ) ) ) ) @ ( c_List_Oset @ SV1261 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4193]) ).
thf(4281,plain,
! [SV1597: $i,SV1578: $i,SV1539: $i,SV1465: $i,SV1269: $i,SV904: $i,SV417: $i] :
( ( ( SV417
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV904 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1269 ) @ ( c_Message_Omsg_OAgent @ SV1465 ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1539 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1465 @ ( c_Message_Omsg_OCrypt @ SV1578 @ ( c_Message_Omsg_OMPair @ SV1597 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV904 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1269 ) @ SV417 ) ) ) ) ) @ ( c_List_Oset @ SV1539 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4197]) ).
thf(4282,plain,
! [SV1542: $i,SV1284: $i,SV448: $i,SV1469: $i,SV934: $i] :
( ( ( SV934 = SV1469 )
= $true )
| ( ( SV448 = SV1469 )
= $true )
| ( ( ( c_Set_Oinsert @ SV448 @ ( c_Set_Oinsert @ SV934 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1284 @ tc_bool ) ) @ SV1284 ) @ SV1284 )
= ( c_Set_Oinsert @ SV1469 @ ( c_Set_Oinsert @ SV1542 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1284 @ tc_bool ) ) @ SV1284 ) @ SV1284 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4201]) ).
thf(4283,plain,
! [SV1473: $i,SV1295: $i,SV950: $i,SV466: $i] :
( ( ( hBOOL @ ( c_in @ SV466 @ SV950 @ SV1295 ) )
= $true )
| ( ( SV950 = SV1473 )
= $true )
| ( ( hBOOL @ ( c_in @ SV466 @ SV1473 @ SV1295 ) )
= $true )
| ( ( ( c_Set_Oinsert @ SV466 @ SV950 @ SV1295 )
= ( c_Set_Oinsert @ SV466 @ SV1473 @ SV1295 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4202]) ).
thf(4284,plain,
! [SV1476: $i,SV1301: $i,SV957: $i,SV1543: $i,SV473: $i] :
( ( ( SV473 = SV1543 )
= $true )
| ( ( SV957 = SV1543 )
= $true )
| ( ( ( c_Set_Oinsert @ SV473 @ ( c_Set_Oinsert @ SV957 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1301 @ tc_bool ) ) @ SV1301 ) @ SV1301 )
= ( c_Set_Oinsert @ SV1476 @ ( c_Set_Oinsert @ SV1543 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1301 @ tc_bool ) ) @ SV1301 ) @ SV1301 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4203]) ).
thf(4285,plain,
! [SV1579: $i,SV1544: $i,SV1477: $i,SV1303: $i,SV959: $i,SV475: $i] :
( ( ( ( c_Event_Oevent_OSays @ SV475 @ SV959 @ SV1303 )
= ( c_Event_Oevent_OSays @ SV1477 @ SV1544 @ SV1579 ) )
= $false )
| ( ( SV1303 = SV1579 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4205]) ).
thf(4286,plain,
! [SV963: $i,SV479: $i,SV1480: $i,SV1307: $i] :
( ( ( ( c_Message_Oanalz @ SV1307 )
= ( c_Message_Oanalz @ SV1480 ) )
= $false )
| ( ( ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1307 @ SV479 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1480 @ SV963 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true )
| ( ( ( c_Message_Oanalz @ SV479 )
= ( c_Message_Oanalz @ SV963 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4207]) ).
thf(4287,plain,
! [SV1310: $i,SV966: $i,SV1482: $i,SV1546: $i,SV483: $i] :
( ( ( SV483 = SV1546 )
= $true )
| ( ( SV483 = SV1482 )
= $true )
| ( ( ( c_Set_Oinsert @ SV483 @ ( c_Set_Oinsert @ SV966 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1310 @ tc_bool ) ) @ SV1310 ) @ SV1310 )
= ( c_Set_Oinsert @ SV1482 @ ( c_Set_Oinsert @ SV1546 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1310 @ tc_bool ) ) @ SV1310 ) @ SV1310 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4208]) ).
thf(4288,plain,
! [SV1580: $i,SV1549: $i,SV1491: $i,SV1325: $i,SV983: $i,SV500: $i] :
( ( ( ( c_Event_Oevent_OSays @ SV500 @ SV983 @ SV1325 )
= ( c_Event_Oevent_OSays @ SV1491 @ SV1549 @ SV1580 ) )
= $false )
| ( ( SV500 = SV1491 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4212]) ).
thf(4289,plain,
! [SV1327: $i,SV504: $i,SV1550: $i,SV1493: $i,SV986: $i] :
( ( ( SV986 = SV1493 )
= $true )
| ( ( SV986 = SV1550 )
= $true )
| ( ( ( c_Set_Oinsert @ SV504 @ ( c_Set_Oinsert @ SV986 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1327 @ tc_bool ) ) @ SV1327 ) @ SV1327 )
= ( c_Set_Oinsert @ SV1493 @ ( c_Set_Oinsert @ SV1550 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1327 @ tc_bool ) ) @ SV1327 ) @ SV1327 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4213]) ).
thf(4290,plain,
! [SV1581: $i,SV1552: $i,SV1496: $i,SV1334: $i,SV994: $i,SV513: $i] :
( ( ( ( c_Event_Oevent_OSays @ SV513 @ SV994 @ SV1334 )
= ( c_Event_Oevent_OSays @ SV1496 @ SV1552 @ SV1581 ) )
= $false )
| ( ( SV994 = SV1552 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4214]) ).
thf(4291,plain,
! [SV1016: $i,SV552: $i,SV40: $i] :
( ( ( hBOOL @ ( c_in @ SV40 @ ( c_Event_Oknows @ SV552 @ SV1016 ) @ tc_Message_Omsg ) )
= $false )
| ( ( SV552 = c_Message_Oagent_OSpy )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV552 @ ( c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1 @ SV552 @ SV40 @ SV1016 ) @ SV40 ) @ ( c_List_Oset @ SV1016 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OGets @ SV552 @ SV40 ) @ ( c_List_Oset @ SV1016 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SV552 @ SV40 ) @ ( c_List_Oset @ SV1016 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV40 @ ( c_Event_OinitState @ SV552 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4216]) ).
thf(4292,plain,
! [SV43: $i,SV555: $i,SV1019: $i] :
( ( ( hBOOL @ ( c_in @ SV1019 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( c_lessequals @ SV555 @ ( c_HOL_Ouminus__class_Ouminus @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ ( tc_fun @ tc_nat @ tc_bool ) ) @ ( tc_fun @ tc_nat @ tc_bool ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV43 @ SV555 @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV43 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV555 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1019 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4217]) ).
thf(4293,plain,
! [SV44: $i,SV556: $i,SV1020: $i] :
( ( ( c_lessequals @ SV1020 @ ( c_HOL_Ouminus__class_Ouminus @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ ( tc_fun @ tc_nat @ tc_bool ) ) @ ( tc_fun @ tc_nat @ tc_bool ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV556 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV44 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV1020 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV556 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV44 @ SV1020 @ tc_nat ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV44 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV556 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4218]) ).
thf(4294,plain,
! [SV51: $i,SV563: $i,SV1026: $i] :
( ( ( hBOOL @ ( c_in @ SV1026 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( c_lessequals @ SV563 @ ( c_HOL_Ouminus__class_Ouminus @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ ( tc_fun @ tc_nat @ tc_bool ) ) @ ( tc_fun @ tc_nat @ tc_bool ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV51 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1026 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV51 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV563 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1026 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4219]) ).
thf(4295,plain,
! [SV609: $i,SV1048: $i,SV1346: $i,SV104: $i] :
( ( ( hBOOL @ ( c_in @ SV104 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV1346 @ SV1048 @ tc_Message_Omsg ) ) ) @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV1346 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV609 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV104 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1048 @ SV609 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) ) @ tc_nat ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV104 ) ) @ ( c_Message_Oparts @ SV609 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4220]) ).
thf(4296,plain,
! [SV1502: $i,SV613: $i,SV1051: $i,SV1349: $i,SV108: $i] :
( ( ( c_lessequals @ SV108 @ SV1349 @ ( tc_fun @ SV1051 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV613 @ SV1502 @ ( tc_fun @ SV1051 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV108 @ SV613 @ ( tc_fun @ SV1051 @ tc_bool ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1349 @ SV1502 @ ( tc_fun @ SV1051 @ tc_bool ) ) @ ( tc_fun @ SV1051 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4222]) ).
thf(4297,plain,
! [SV1060: $i,SV120: $i,SV1358: $i,SV625: $i] :
( ( ( c_lessequals @ SV625 @ SV1358 @ SV120 )
= $false )
| ( ( ~ ( c_lessequals @ SV1358 @ SV1060 @ SV120 ) )
= $true )
| ( ( c_lessequals @ SV625 @ SV1060 @ SV120 )
= $true )
| ( ( class_Orderings_Oorder @ SV120 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4229]) ).
thf(4298,plain,
! [SV626: $i,SV121: $i,SV1061: $i,SV1359: $i] :
( ( ( c_lessequals @ SV1359 @ SV1061 @ SV121 )
= $false )
| ( ( ~ ( c_lessequals @ SV626 @ SV1359 @ SV121 ) )
= $true )
| ( ( c_lessequals @ SV626 @ SV1061 @ SV121 )
= $true )
| ( ( class_Orderings_Opreorder @ SV121 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4230]) ).
thf(4299,plain,
! [SV656: $i,SV153: $i,SV1087: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1087 @ SV153 ) @ ( c_Message_Oanalz @ SV656 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV1087 @ c_Message_OsymKeys @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1087 ) @ ( c_Message_Oanalz @ SV656 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV153 @ ( c_Message_Oanalz @ SV656 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4236]) ).
thf(4300,plain,
! [SV174: $i,SV1096: $i,SV674: $i] :
( ( ( hBOOL @ ( c_in @ SV674 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV1096 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV174 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV1096 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV674 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( SV174 = SV1096 )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV174 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV674 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4238]) ).
thf(4301,plain,
! [SV1582: $i,SV1554: $i,SV1508: $i,SV1379: $i,SV1101: $i,SV679: $i,SV179: $i] :
( ( ( hBOOL @ ( c_in @ SV179 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV679 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1101 @ ( c_Message_Omsg_OCrypt @ SV1379 @ ( c_Message_Omsg_OMPair @ SV1508 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1554 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV179 ) @ SV1582 ) ) ) ) ) @ ( c_List_Oset @ SV679 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4240]) ).
thf(4302,plain,
! [SV1381: $i,SV1509: $i,SV683: $i,SV1104: $i,SV183: $i,SV1555: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1555 @ SV183 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV183 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1104 ) @ ( c_Message_Omsg_OAgent @ SV683 ) ) ) ) @ ( c_List_Oset @ SV1509 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV1104 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1381 ) @ ( c_Event_Oused @ SV1509 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1509 ) ) )
= $true )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV183 @ SV683 @ ( c_Message_Omsg_OCrypt @ SV1104 @ ( c_Message_Omsg_ONonce @ SV1381 ) ) ) @ SV1509 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4241]) ).
thf(4303,plain,
! [SV1383: $i,SV1510: $i,SV688: $i,SV1109: $i,SV188: $i,SV1556: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1556 @ SV188 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV188 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1109 ) @ ( c_Message_Omsg_OAgent @ SV688 ) ) ) ) @ ( c_List_Oset @ SV1510 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV1109 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1383 ) @ ( c_Event_Oused @ SV1510 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1510 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV188 @ SV688 @ ( c_Message_Omsg_OCrypt @ SV1109 @ ( c_Message_Omsg_ONonce @ SV1383 ) ) ) @ SV1510 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4242]) ).
thf(4304,plain,
! [SV1557: $i,SV189: $i,SV1511: $i,SV1384: $i,SV1110: $i,SV689: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV689 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ SV1110 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1110 ) @ ( c_Message_Omsg_OMPair @ SV1384 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1511 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV189 ) @ SV1557 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV689 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV189 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4243]) ).
thf(4305,plain,
! [SV194: $i,SV694: $i,SV1115: $i] :
( ( ( c_lessequals @ SV1115 @ SV694 @ SV194 )
= $false )
| ( ( c_lessequals @ SV694 @ SV1115 @ SV194 )
= $false )
| ( ( SV694 = SV1115 )
= $true )
| ( ( class_Orderings_Oorder @ SV194 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4244]) ).
thf(4306,plain,
! [SV195: $i,SV1116: $i,SV695: $i] :
( ( ( c_lessequals @ SV695 @ SV1116 @ SV195 )
= $false )
| ( ( c_lessequals @ SV1116 @ SV695 @ SV195 )
= $false )
| ( ( SV695 = SV1116 )
= $true )
| ( ( class_Orderings_Oorder @ SV195 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4245]) ).
thf(4307,plain,
! [SV196: $i,SV1117: $i,SV696: $i] :
( ( ( c_lessequals @ SV696 @ SV1117 @ SV196 )
= $false )
| ( ( c_lessequals @ SV1117 @ SV696 @ SV196 )
= $false )
| ( ( SV696 = SV1117 )
= $true )
| ( ( class_Orderings_Oorder @ SV196 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4246]) ).
thf(4308,plain,
! [SV1132: $i,SV1395: $i,SV225: $i,SV1558: $i,SV1512: $i,SV720: $i] :
( ( ( hBOOL @ ( c_in @ SV720 @ SV1512 @ SV1558 ) )
= $false )
| ( ( ~ ( c_lessequals @ ( c_Set_Oimage @ SV225 @ SV1512 @ SV1558 @ SV1395 ) @ SV1132 @ ( tc_fun @ SV1395 @ tc_bool ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ SV225 @ SV720 ) @ SV1132 @ SV1395 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4247]) ).
thf(4309,plain,
! [SV739: $i,SV244: $i,SV1406: $i,SV1147: $i] :
( ( ( c_lessequals @ SV1147 @ SV1406 @ SV244 )
= $false )
| ( ( ~ ( c_lessequals @ SV739 @ SV1406 @ SV244 ) )
= $true )
| ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV739 @ SV1147 @ SV244 ) @ SV1406 @ SV244 )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV244 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4250]) ).
thf(4310,plain,
! [SV742: $i,SV247: $i,SV1407: $i,SV1150: $i] :
( ( ( c_lessequals @ SV1150 @ SV1407 @ SV247 )
= $false )
| ( ( ~ ( c_lessequals @ SV742 @ SV1407 @ SV247 ) )
= $true )
| ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV742 @ SV1150 @ SV247 ) @ SV1407 @ SV247 )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV247 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4251]) ).
thf(4311,plain,
! [SV743: $i,SV248: $i,SV1408: $i,SV1151: $i] :
( ( ( c_lessequals @ SV1151 @ SV1408 @ SV248 )
= $false )
| ( ( ~ ( c_lessequals @ SV743 @ SV1408 @ SV248 ) )
= $true )
| ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV743 @ SV1151 @ SV248 ) @ SV1408 @ SV248 )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV248 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4252]) ).
thf(4312,plain,
! [SV1162: $i,SV262: $i,SV1514: $i,SV1410: $i,SV757: $i] :
( ( ( c_lessequals @ SV757 @ SV1410 @ ( tc_fun @ SV1514 @ SV262 ) )
= $false )
| ( ( c_lessequals @ ( hAPP @ SV757 @ SV1162 ) @ ( hAPP @ SV1410 @ SV1162 ) @ SV262 )
= $true )
| ( ( class_HOL_Oord @ SV262 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4253]) ).
thf(4313,plain,
! [SV1422: $i,SV1519: $i,SV780: $i,SV1174: $i,SV287: $i,SV1559: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1559 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV287 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1174 ) @ ( c_Message_Omsg_ONonce @ SV780 ) ) ) ) @ ( c_List_Oset @ SV1519 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV1422 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1422 ) @ ( c_Event_Oused @ SV1519 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1519 ) ) )
= $true )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV287 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV287 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV780 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1174 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1422 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1174 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1422 ) @ ( c_Message_Omsg_OAgent @ SV287 ) ) ) ) ) ) ) ) @ SV1519 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4258]) ).
thf(4314,plain,
! [SV1423: $i,SV1520: $i,SV781: $i,SV1175: $i,SV288: $i,SV1560: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1560 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV288 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1175 ) @ ( c_Message_Omsg_ONonce @ SV781 ) ) ) ) @ ( c_List_Oset @ SV1520 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV1423 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1423 ) @ ( c_Event_Oused @ SV1520 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1520 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV288 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV288 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV781 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1175 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1423 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1175 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1423 ) @ ( c_Message_Omsg_OAgent @ SV288 ) ) ) ) ) ) ) ) @ SV1520 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4259]) ).
thf(4315,plain,
! [SV290: $i,SV1177: $i,SV783: $i,SV1424: $i] :
( ( ( c_lessequals @ SV1424 @ SV783 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV1177 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1424 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV290 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV1177 @ SV783 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV290 ) @ ( c_Message_Oanalz @ SV783 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4260]) ).
thf(4316,plain,
! [SV291: $i,SV784: $i,SV1178: $i,SV1425: $i] :
( ( ( c_lessequals @ SV1425 @ SV1178 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV784 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1425 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV291 ) @ ( c_Message_Oanalz @ SV1178 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV291 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV784 @ SV1178 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4261]) ).
thf(4317,plain,
! [SV292: $i,SV1583: $i,SV1561: $i,SV1521: $i,SV1426: $i,SV785: $i,SV1179: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV1179 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV785 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1426 @ SV1521 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1521 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1561 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1583 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1179 ) @ SV292 ) ) ) ) ) @ ( c_List_Oset @ SV785 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV292 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV785 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4262]) ).
thf(4318,plain,
! [SV1605: $i,SV1598: $i,SV1584: $i,SV1562: $i,SV1522: $i,SV1427: $i,SV1180: $i,SV786: $i,SV293: $i] :
( ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV293 @ SV786 @ ( c_Message_Omsg_OCrypt @ SV1180 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1427 ) @ ( c_Message_Omsg_ONonce @ SV1427 ) ) ) ) @ SV1522 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1562 @ SV293 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV293 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1584 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV786 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1180 ) @ SV1598 ) ) ) ) ) @ ( c_List_Oset @ SV1522 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1605 @ SV293 @ ( c_Message_Omsg_OCrypt @ SV1180 @ ( c_Message_Omsg_ONonce @ SV1427 ) ) ) @ ( c_List_Oset @ SV1522 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1180 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1522 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4263]) ).
thf(4319,plain,
! [SV1606: $i,SV1599: $i,SV1585: $i,SV1563: $i,SV1523: $i,SV1428: $i,SV1183: $i,SV789: $i,SV296: $i] :
( ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV296 @ SV789 @ ( c_Message_Omsg_OCrypt @ SV1183 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1428 ) @ ( c_Message_Omsg_ONonce @ SV1428 ) ) ) ) @ SV1523 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1563 @ SV296 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV296 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1585 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV789 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1183 ) @ SV1599 ) ) ) ) ) @ ( c_List_Oset @ SV1523 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1606 @ SV296 @ ( c_Message_Omsg_OCrypt @ SV1183 @ ( c_Message_Omsg_ONonce @ SV1428 ) ) ) @ ( c_List_Oset @ SV1523 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1183 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV1523 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4264]) ).
thf(4320,plain,
! [SV848: $i,SV1226: $i,SV360: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV360 ) @ ( c_Message_Oanalz @ SV1226 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV360 ) ) @ ( c_Message_Oanalz @ SV1226 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV848 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1226 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV360 @ SV848 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1226 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4265]) ).
thf(4321,plain,
! [SV361: $i,SV849: $i,SV1227: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1227 ) @ ( c_Message_Oanalz @ SV849 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV1227 ) ) @ ( c_Message_Oanalz @ SV849 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1227 @ SV361 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV849 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV361 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV849 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4266]) ).
thf(4322,plain,
! [SV1231: $i,SV1586: $i,SV1564: $i,SV1445: $i,SV1525: $i,SV853: $i,SV365: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV365 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV365 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV853 ) @ ( c_Message_Omsg_ONonce @ SV1525 ) ) ) ) @ ( c_List_Oset @ SV1445 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1564 @ SV365 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV365 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1525 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV853 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1586 ) @ SV1231 ) ) ) ) ) @ ( c_List_Oset @ SV1445 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV365 = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1445 ) ) )
= $true )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV365 @ SV853 @ SV1231 ) @ SV1445 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4267]) ).
thf(4323,plain,
! [SV855: $i,SV1447: $i,SV1587: $i,SV1233: $i,SV1565: $i,SV367: $i,SV1526: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1526 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1526 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV367 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1565 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1233 ) @ SV1587 ) ) ) ) ) @ ( c_List_Oset @ SV1447 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1565 @ SV1526 @ ( c_Message_Omsg_OCrypt @ SV1233 @ ( c_Message_Omsg_ONonce @ SV855 ) ) ) @ ( c_List_Oset @ SV1447 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1447 ) ) )
= $true )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV367 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV855 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV1233 ) ) ) ) @ SV1447 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4268]) ).
thf(4324,plain,
! [SV1600: $i,SV1588: $i,SV1566: $i,SV1527: $i,SV1448: $i,SV1236: $i,SV858: $i,SV370: $i] :
( ( ( hBOOL @ ( c_in @ SV370 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV858 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1236 @ SV1448 @ ( c_Message_Omsg_OCrypt @ SV1527 @ ( c_Message_Omsg_OMPair @ SV1566 @ ( c_Message_Omsg_OMPair @ SV1588 @ ( c_Message_Omsg_OMPair @ SV1600 @ SV370 ) ) ) ) ) @ ( c_List_Oset @ SV858 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4269]) ).
thf(4325,plain,
! [SV374: $i,SV1238: $i,SV862: $i,SV1568: $i,SV1450: $i,SV1529: $i] :
( ( ( hBOOL @ ( c_in @ SV1529 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( ( hBOOL @ ( c_in @ SV1450 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1450 ) @ ( c_Message_Omsg_OMPair @ SV1568 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV862 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1238 ) @ SV374 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1529 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( SV374
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV862 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1238 ) @ ( c_Message_Omsg_OAgent @ SV1450 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4271]) ).
thf(4326,plain,
! [SV1239: $i,SV1589: $i,SV1569: $i,SV1451: $i,SV1530: $i,SV863: $i,SV375: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV375 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV375 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV863 ) @ ( c_Message_Omsg_ONonce @ SV1530 ) ) ) ) @ ( c_List_Oset @ SV1451 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1569 @ SV375 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV375 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1530 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV863 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1589 ) @ SV1239 ) ) ) ) ) @ ( c_List_Oset @ SV1451 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV375 = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_in @ SV1451 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV375 @ SV863 @ SV1239 ) @ SV1451 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4272]) ).
thf(4327,plain,
! [SV1590: $i,SV1570: $i,SV864: $i,SV1531: $i,SV1452: $i,SV1240: $i,SV376: $i] :
( ( ( SV376
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1240 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1452 ) @ ( c_Message_Omsg_OAgent @ SV1531 ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV864 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1570 @ SV1531 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1531 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1590 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1240 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1452 ) @ SV376 ) ) ) ) ) @ ( c_List_Oset @ SV864 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV376 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV864 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4273]) ).
thf(4328,plain,
! [SV865: $i,SV1453: $i,SV1591: $i,SV1241: $i,SV1571: $i,SV377: $i,SV1532: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1532 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1532 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV377 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1571 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1241 ) @ SV1591 ) ) ) ) ) @ ( c_List_Oset @ SV1453 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1571 @ SV1532 @ ( c_Message_Omsg_OCrypt @ SV1241 @ ( c_Message_Omsg_ONonce @ SV865 ) ) ) @ ( c_List_Oset @ SV1453 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1453 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV377 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV865 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV1241 ) ) ) ) @ SV1453 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4274]) ).
thf(4329,plain,
! [SV1533: $i,SV1454: $i,SV1242: $i,SV866: $i,SV378: $i,SV1572: $i] :
( ( ( hBOOL @ ( c_in @ SV1572 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( ( hBOOL @ ( c_in @ SV378 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV378 ) @ ( c_Message_Omsg_OMPair @ SV866 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1242 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1454 ) @ SV1533 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1572 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV378 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV378 ) @ ( c_Message_Omsg_OMPair @ SV866 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1242 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1454 ) @ SV1533 ) ) ) ) ) @ ( c_List_Oset @ SV1572 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4275]) ).
thf(4330,plain,
! [SV1592: $i,SV1573: $i,SV1534: $i,SV1457: $i,SV390: $i,SV877: $i,SV1252: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV1252 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV877 @ ( c_Message_Omsg_OCrypt @ SV390 @ ( c_Message_Omsg_OMPair @ SV1457 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1534 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1573 ) @ SV1592 ) ) ) ) ) @ ( c_List_Oset @ SV1252 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( SV390
= ( hAPP @ c_Public_OshrK @ SV877 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4276]) ).
thf(4331,plain,
! [SV1607: $i,SV1601: $i,SV1593: $i,SV1574: $i,SV1535: $i,SV1460: $i,SV1258: $i,SV885: $i,SV398: $i] :
( ( ! [SY3830: $i] :
( ( SV398 = SV885 )
| ~ ( hBOOL @ ( c_in @ SV1258 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV885 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV885 ) @ ( c_Message_Omsg_OMPair @ SV1460 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1535 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1574 ) @ SV1593 ) ) ) ) ) @ ( c_List_Oset @ SV1258 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV398 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV398 ) @ ( c_Message_Omsg_OMPair @ SV1601 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1607 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1574 ) @ SY3830 ) ) ) ) ) @ ( c_List_Oset @ SV1258 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4277]) ).
thf(4332,plain,
! [SV1608: $i,SV1602: $i,SV1594: $i,SV1575: $i,SV1536: $i,SV1461: $i,SV1259: $i,SV886: $i,SV399: $i] :
( ( ! [SY3831: $i] :
( ( SV399 = SV886 )
| ~ ( hBOOL @ ( c_in @ SV1259 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1461 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1461 ) @ ( c_Message_Omsg_OMPair @ SV886 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1536 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1575 ) @ SV1594 ) ) ) ) ) @ ( c_List_Oset @ SV1259 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1602 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1602 ) @ ( c_Message_Omsg_OMPair @ SV399 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1608 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1575 ) @ SY3831 ) ) ) ) ) @ ( c_List_Oset @ SV1259 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4278]) ).
thf(4333,plain,
! [SV1609: $i,SV1603: $i,SV1595: $i,SV1576: $i,SV1537: $i,SV1462: $i,SV1260: $i,SV887: $i,SV400: $i] :
( ( ! [SY3832: $i] :
( ( SV400 = SV887 )
| ~ ( hBOOL @ ( c_in @ SV1260 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1462 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1462 ) @ ( c_Message_Omsg_OMPair @ SV1537 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV887 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1576 ) @ SV1595 ) ) ) ) ) @ ( c_List_Oset @ SV1260 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1603 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1603 ) @ ( c_Message_Omsg_OMPair @ SV1609 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV400 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1576 ) @ SY3832 ) ) ) ) ) @ ( c_List_Oset @ SV1260 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4279]) ).
thf(4334,plain,
! [SV1610: $i,SV1604: $i,SV1596: $i,SV1577: $i,SV1538: $i,SV1463: $i,SV1261: $i,SV888: $i,SV401: $i] :
( ( ! [SY3833: $i] :
( ( SV401 = SV888 )
| ~ ( hBOOL @ ( c_in @ SV1261 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1463 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1463 ) @ ( c_Message_Omsg_OMPair @ SV1538 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1577 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1596 ) @ SV888 ) ) ) ) ) @ ( c_List_Oset @ SV1261 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1604 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1604 ) @ ( c_Message_Omsg_OMPair @ SV1610 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3833 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1596 ) @ SV401 ) ) ) ) ) @ ( c_List_Oset @ SV1261 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4280]) ).
thf(4335,plain,
! [SV417: $i,SV1269: $i,SV904: $i,SV1597: $i,SV1578: $i,SV1465: $i,SV1539: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV1539 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1465 @ ( c_Message_Omsg_OCrypt @ SV1578 @ ( c_Message_Omsg_OMPair @ SV1597 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV904 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1269 ) @ SV417 ) ) ) ) ) @ ( c_List_Oset @ SV1539 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( SV417
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV904 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1269 ) @ ( c_Message_Omsg_OAgent @ SV1465 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4281]) ).
thf(4336,plain,
! [SV44: $i,SV1020: $i,SV556: $i] :
( ( ( hBOOL @ ( c_in @ SV556 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( c_lessequals @ SV1020 @ ( c_HOL_Ouminus__class_Ouminus @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ ( tc_fun @ tc_nat @ tc_bool ) ) @ ( tc_fun @ tc_nat @ tc_bool ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV44 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV1020 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV556 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV44 @ SV1020 @ tc_nat ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV44 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV556 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4293]) ).
thf(4337,plain,
! [SV625: $i,SV120: $i,SV1060: $i,SV1358: $i] :
( ( ( c_lessequals @ SV1358 @ SV1060 @ SV120 )
= $false )
| ( ( c_lessequals @ SV625 @ SV1358 @ SV120 )
= $false )
| ( ( c_lessequals @ SV625 @ SV1060 @ SV120 )
= $true )
| ( ( class_Orderings_Oorder @ SV120 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4297]) ).
thf(4338,plain,
! [SV1061: $i,SV121: $i,SV1359: $i,SV626: $i] :
( ( ( c_lessequals @ SV626 @ SV1359 @ SV121 )
= $false )
| ( ( c_lessequals @ SV1359 @ SV1061 @ SV121 )
= $false )
| ( ( c_lessequals @ SV626 @ SV1061 @ SV121 )
= $true )
| ( ( class_Orderings_Opreorder @ SV121 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4298]) ).
thf(4339,plain,
! [SV1582: $i,SV179: $i,SV1554: $i,SV1508: $i,SV1379: $i,SV1101: $i,SV679: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV679 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1101 @ ( c_Message_Omsg_OCrypt @ SV1379 @ ( c_Message_Omsg_OMPair @ SV1508 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1554 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV179 ) @ SV1582 ) ) ) ) ) @ ( c_List_Oset @ SV679 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV179 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4301]) ).
thf(4340,plain,
! [SV683: $i,SV183: $i,SV1555: $i,SV1509: $i,SV1381: $i,SV1104: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV1104 @ c_Message_OsymKeys @ tc_nat ) ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1381 ) @ ( c_Event_Oused @ SV1509 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1509 ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1555 @ SV183 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV183 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1104 ) @ ( c_Message_Omsg_OAgent @ SV683 ) ) ) ) @ ( c_List_Oset @ SV1509 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV183 @ SV683 @ ( c_Message_Omsg_OCrypt @ SV1104 @ ( c_Message_Omsg_ONonce @ SV1381 ) ) ) @ SV1509 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4302]) ).
thf(4341,plain,
! [SV688: $i,SV188: $i,SV1556: $i,SV1510: $i,SV1383: $i,SV1109: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV1109 @ c_Message_OsymKeys @ tc_nat ) ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1383 ) @ ( c_Event_Oused @ SV1510 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1510 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1556 @ SV188 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV188 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1109 ) @ ( c_Message_Omsg_OAgent @ SV688 ) ) ) ) @ ( c_List_Oset @ SV1510 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV188 @ SV688 @ ( c_Message_Omsg_OCrypt @ SV1109 @ ( c_Message_Omsg_ONonce @ SV1383 ) ) ) @ SV1510 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4303]) ).
thf(4342,plain,
! [SV1557: $i,SV189: $i,SV1511: $i,SV1384: $i,SV1110: $i,SV689: $i] :
( ( ( hBOOL @ ( c_in @ SV689 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( ( hBOOL @ ( c_in @ SV1110 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1110 ) @ ( c_Message_Omsg_OMPair @ SV1384 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1511 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV189 ) @ SV1557 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV689 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV189 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4304]) ).
thf(4343,plain,
! [SV720: $i,SV1132: $i,SV1395: $i,SV1558: $i,SV1512: $i,SV225: $i] :
( ( ( c_lessequals @ ( c_Set_Oimage @ SV225 @ SV1512 @ SV1558 @ SV1395 ) @ SV1132 @ ( tc_fun @ SV1395 @ tc_bool ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV720 @ SV1512 @ SV1558 ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ SV225 @ SV720 ) @ SV1132 @ SV1395 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4308]) ).
thf(4344,plain,
! [SV1147: $i,SV244: $i,SV1406: $i,SV739: $i] :
( ( ( c_lessequals @ SV739 @ SV1406 @ SV244 )
= $false )
| ( ( c_lessequals @ SV1147 @ SV1406 @ SV244 )
= $false )
| ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV739 @ SV1147 @ SV244 ) @ SV1406 @ SV244 )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV244 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4309]) ).
thf(4345,plain,
! [SV1150: $i,SV247: $i,SV1407: $i,SV742: $i] :
( ( ( c_lessequals @ SV742 @ SV1407 @ SV247 )
= $false )
| ( ( c_lessequals @ SV1150 @ SV1407 @ SV247 )
= $false )
| ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV742 @ SV1150 @ SV247 ) @ SV1407 @ SV247 )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV247 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4310]) ).
thf(4346,plain,
! [SV1151: $i,SV248: $i,SV1408: $i,SV743: $i] :
( ( ( c_lessequals @ SV743 @ SV1408 @ SV248 )
= $false )
| ( ( c_lessequals @ SV1151 @ SV1408 @ SV248 )
= $false )
| ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV743 @ SV1151 @ SV248 ) @ SV1408 @ SV248 )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV248 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4311]) ).
thf(4347,plain,
! [SV780: $i,SV1174: $i,SV287: $i,SV1559: $i,SV1519: $i,SV1422: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV1422 @ c_Message_OsymKeys @ tc_nat ) ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1422 ) @ ( c_Event_Oused @ SV1519 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1519 ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1559 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV287 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1174 ) @ ( c_Message_Omsg_ONonce @ SV780 ) ) ) ) @ ( c_List_Oset @ SV1519 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV287 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV287 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV780 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1174 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1422 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1174 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1422 ) @ ( c_Message_Omsg_OAgent @ SV287 ) ) ) ) ) ) ) ) @ SV1519 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4313]) ).
thf(4348,plain,
! [SV781: $i,SV1175: $i,SV288: $i,SV1560: $i,SV1520: $i,SV1423: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV1423 @ c_Message_OsymKeys @ tc_nat ) ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1423 ) @ ( c_Event_Oused @ SV1520 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1520 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1560 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV288 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1175 ) @ ( c_Message_Omsg_ONonce @ SV781 ) ) ) ) @ ( c_List_Oset @ SV1520 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV288 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV288 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV781 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1175 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1423 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1175 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1423 ) @ ( c_Message_Omsg_OAgent @ SV288 ) ) ) ) ) ) ) ) @ SV1520 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4314]) ).
thf(4349,plain,
! [SV290: $i,SV783: $i,SV1424: $i,SV1177: $i] :
( ( ( hBOOL @ ( c_in @ SV1177 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1424 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( c_lessequals @ SV1424 @ SV783 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV290 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV1177 @ SV783 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV290 ) @ ( c_Message_Oanalz @ SV783 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4315]) ).
thf(4350,plain,
! [SV291: $i,SV1178: $i,SV1425: $i,SV784: $i] :
( ( ( hBOOL @ ( c_in @ SV784 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1425 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( c_lessequals @ SV1425 @ SV1178 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV291 ) @ ( c_Message_Oanalz @ SV1178 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV291 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV784 @ SV1178 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4316]) ).
thf(4351,plain,
! [SV292: $i,SV1583: $i,SV1561: $i,SV1521: $i,SV1426: $i,SV785: $i,SV1179: $i] :
( ( ( hBOOL @ ( c_in @ SV1179 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV785 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1426 @ SV1521 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1521 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1561 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1583 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1179 ) @ SV292 ) ) ) ) ) @ ( c_List_Oset @ SV785 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV292 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV785 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4317]) ).
thf(4352,plain,
! [SV1605: $i,SV1598: $i,SV1584: $i,SV1562: $i,SV1522: $i,SV1427: $i,SV1180: $i,SV786: $i,SV293: $i] :
( ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV293 @ SV786 @ ( c_Message_Omsg_OCrypt @ SV1180 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1427 ) @ ( c_Message_Omsg_ONonce @ SV1427 ) ) ) ) @ SV1522 @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1562 @ SV293 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV293 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1584 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV786 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1180 ) @ SV1598 ) ) ) ) ) @ ( c_List_Oset @ SV1522 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1605 @ SV293 @ ( c_Message_Omsg_OCrypt @ SV1180 @ ( c_Message_Omsg_ONonce @ SV1427 ) ) ) @ ( c_List_Oset @ SV1522 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1180 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1522 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4318]) ).
thf(4353,plain,
! [SV1606: $i,SV1599: $i,SV1585: $i,SV1563: $i,SV1523: $i,SV1428: $i,SV1183: $i,SV789: $i,SV296: $i] :
( ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV296 @ SV789 @ ( c_Message_Omsg_OCrypt @ SV1183 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1428 ) @ ( c_Message_Omsg_ONonce @ SV1428 ) ) ) ) @ SV1523 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1563 @ SV296 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV296 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1585 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV789 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1183 ) @ SV1599 ) ) ) ) ) @ ( c_List_Oset @ SV1523 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1606 @ SV296 @ ( c_Message_Omsg_OCrypt @ SV1183 @ ( c_Message_Omsg_ONonce @ SV1428 ) ) ) @ ( c_List_Oset @ SV1523 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1183 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV1523 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4319]) ).
thf(4354,plain,
! [SV1231: $i,SV1586: $i,SV1564: $i,SV1445: $i,SV1525: $i,SV853: $i,SV365: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV365 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV365 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV853 ) @ ( c_Message_Omsg_ONonce @ SV1525 ) ) ) ) @ ( c_List_Oset @ SV1445 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1564 @ SV365 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV365 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1525 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV853 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1586 ) @ SV1231 ) ) ) ) ) @ ( c_List_Oset @ SV1445 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV365 = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1445 ) ) )
= $true )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV365 @ SV853 @ SV1231 ) @ SV1445 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4322]) ).
thf(4355,plain,
! [SV855: $i,SV1447: $i,SV1587: $i,SV1233: $i,SV1565: $i,SV367: $i,SV1526: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1526 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1526 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV367 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1565 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1233 ) @ SV1587 ) ) ) ) ) @ ( c_List_Oset @ SV1447 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1565 @ SV1526 @ ( c_Message_Omsg_OCrypt @ SV1233 @ ( c_Message_Omsg_ONonce @ SV855 ) ) ) @ ( c_List_Oset @ SV1447 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1447 ) ) )
= $true )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV367 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV855 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV1233 ) ) ) ) @ SV1447 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4323]) ).
thf(4356,plain,
! [SV858: $i,SV370: $i,SV1600: $i,SV1588: $i,SV1566: $i,SV1527: $i,SV1448: $i,SV1236: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1236 @ SV1448 @ ( c_Message_Omsg_OCrypt @ SV1527 @ ( c_Message_Omsg_OMPair @ SV1566 @ ( c_Message_Omsg_OMPair @ SV1588 @ ( c_Message_Omsg_OMPair @ SV1600 @ SV370 ) ) ) ) ) @ ( c_List_Oset @ SV858 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV370 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV858 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4324]) ).
thf(4357,plain,
! [SV1529: $i,SV374: $i,SV1238: $i,SV862: $i,SV1568: $i,SV1450: $i] :
( ( ( hBOOL @ ( c_in @ SV1450 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1450 ) @ ( c_Message_Omsg_OMPair @ SV1568 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV862 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1238 ) @ SV374 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1529 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1529 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( SV374
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV862 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1238 ) @ ( c_Message_Omsg_OAgent @ SV1450 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4325]) ).
thf(4358,plain,
! [SV1239: $i,SV1589: $i,SV1569: $i,SV1451: $i,SV1530: $i,SV863: $i,SV375: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV375 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV375 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV863 ) @ ( c_Message_Omsg_ONonce @ SV1530 ) ) ) ) @ ( c_List_Oset @ SV1451 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1569 @ SV375 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV375 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1530 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV863 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1589 ) @ SV1239 ) ) ) ) ) @ ( c_List_Oset @ SV1451 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV375 = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_in @ SV1451 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV375 @ SV863 @ SV1239 ) @ SV1451 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4326]) ).
thf(4359,plain,
! [SV376: $i,SV1452: $i,SV1240: $i,SV1590: $i,SV1531: $i,SV1570: $i,SV864: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV864 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1570 @ SV1531 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1531 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1590 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1240 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1452 ) @ SV376 ) ) ) ) ) @ ( c_List_Oset @ SV864 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( SV376
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1240 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1452 ) @ ( c_Message_Omsg_OAgent @ SV1531 ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV376 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV864 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4327]) ).
thf(4360,plain,
! [SV865: $i,SV1453: $i,SV1591: $i,SV1241: $i,SV1571: $i,SV377: $i,SV1532: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1532 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1532 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV377 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1571 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1241 ) @ SV1591 ) ) ) ) ) @ ( c_List_Oset @ SV1453 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1571 @ SV1532 @ ( c_Message_Omsg_OCrypt @ SV1241 @ ( c_Message_Omsg_ONonce @ SV865 ) ) ) @ ( c_List_Oset @ SV1453 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1453 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV377 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV865 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV1241 ) ) ) ) @ SV1453 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4328]) ).
thf(4361,plain,
! [SV1572: $i,SV1533: $i,SV1454: $i,SV1242: $i,SV866: $i,SV378: $i] :
( ( ( hBOOL @ ( c_in @ SV378 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV378 ) @ ( c_Message_Omsg_OMPair @ SV866 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1242 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1454 ) @ SV1533 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1572 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1572 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV378 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV378 ) @ ( c_Message_Omsg_OMPair @ SV866 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1242 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1454 ) @ SV1533 ) ) ) ) ) @ ( c_List_Oset @ SV1572 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4329]) ).
thf(4362,plain,
! [SV1592: $i,SV1573: $i,SV1534: $i,SV1457: $i,SV390: $i,SV877: $i,SV1252: $i] :
( ( ( hBOOL @ ( c_in @ SV1252 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV877 @ ( c_Message_Omsg_OCrypt @ SV390 @ ( c_Message_Omsg_OMPair @ SV1457 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1534 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1573 ) @ SV1592 ) ) ) ) ) @ ( c_List_Oset @ SV1252 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( SV390
= ( hAPP @ c_Public_OshrK @ SV877 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4330]) ).
thf(4363,plain,
! [SV1611: $i,SV1607: $i,SV1601: $i,SV1593: $i,SV1574: $i,SV1535: $i,SV1460: $i,SV1258: $i,SV885: $i,SV398: $i] :
( ( ( SV398 = SV885 )
| ~ ( hBOOL @ ( c_in @ SV1258 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV885 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV885 ) @ ( c_Message_Omsg_OMPair @ SV1460 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1535 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1574 ) @ SV1593 ) ) ) ) ) @ ( c_List_Oset @ SV1258 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV398 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV398 ) @ ( c_Message_Omsg_OMPair @ SV1601 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1607 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1574 ) @ SV1611 ) ) ) ) ) @ ( c_List_Oset @ SV1258 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4331]) ).
thf(4364,plain,
! [SV1612: $i,SV1608: $i,SV1602: $i,SV1594: $i,SV1575: $i,SV1536: $i,SV1461: $i,SV1259: $i,SV886: $i,SV399: $i] :
( ( ( SV399 = SV886 )
| ~ ( hBOOL @ ( c_in @ SV1259 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1461 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1461 ) @ ( c_Message_Omsg_OMPair @ SV886 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1536 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1575 ) @ SV1594 ) ) ) ) ) @ ( c_List_Oset @ SV1259 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1602 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1602 ) @ ( c_Message_Omsg_OMPair @ SV399 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1608 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1575 ) @ SV1612 ) ) ) ) ) @ ( c_List_Oset @ SV1259 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4332]) ).
thf(4365,plain,
! [SV1613: $i,SV1609: $i,SV1603: $i,SV1595: $i,SV1576: $i,SV1537: $i,SV1462: $i,SV1260: $i,SV887: $i,SV400: $i] :
( ( ( SV400 = SV887 )
| ~ ( hBOOL @ ( c_in @ SV1260 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1462 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1462 ) @ ( c_Message_Omsg_OMPair @ SV1537 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV887 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1576 ) @ SV1595 ) ) ) ) ) @ ( c_List_Oset @ SV1260 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1603 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1603 ) @ ( c_Message_Omsg_OMPair @ SV1609 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV400 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1576 ) @ SV1613 ) ) ) ) ) @ ( c_List_Oset @ SV1260 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4333]) ).
thf(4366,plain,
! [SV1614: $i,SV1610: $i,SV1604: $i,SV1596: $i,SV1577: $i,SV1538: $i,SV1463: $i,SV1261: $i,SV888: $i,SV401: $i] :
( ( ( SV401 = SV888 )
| ~ ( hBOOL @ ( c_in @ SV1261 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1463 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1463 ) @ ( c_Message_Omsg_OMPair @ SV1538 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1577 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1596 ) @ SV888 ) ) ) ) ) @ ( c_List_Oset @ SV1261 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1604 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1604 ) @ ( c_Message_Omsg_OMPair @ SV1610 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1614 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1596 ) @ SV401 ) ) ) ) ) @ ( c_List_Oset @ SV1261 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4334]) ).
thf(4367,plain,
! [SV417: $i,SV1269: $i,SV904: $i,SV1597: $i,SV1578: $i,SV1465: $i,SV1539: $i] :
( ( ( hBOOL @ ( c_in @ SV1539 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1465 @ ( c_Message_Omsg_OCrypt @ SV1578 @ ( c_Message_Omsg_OMPair @ SV1597 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV904 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1269 ) @ SV417 ) ) ) ) ) @ ( c_List_Oset @ SV1539 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( SV417
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV904 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1269 ) @ ( c_Message_Omsg_OAgent @ SV1465 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4335]) ).
thf(4368,plain,
! [SV1582: $i,SV179: $i,SV1554: $i,SV1508: $i,SV1379: $i,SV1101: $i,SV679: $i] :
( ( ( hBOOL @ ( c_in @ SV679 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1101 @ ( c_Message_Omsg_OCrypt @ SV1379 @ ( c_Message_Omsg_OMPair @ SV1508 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1554 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV179 ) @ SV1582 ) ) ) ) ) @ ( c_List_Oset @ SV679 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV179 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4339]) ).
thf(4369,plain,
! [SV683: $i,SV183: $i,SV1555: $i,SV1509: $i,SV1381: $i,SV1104: $i] :
( ( ( hBOOL @ ( c_in @ SV1104 @ c_Message_OsymKeys @ tc_nat ) )
= $false )
| ( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1381 ) @ ( c_Event_Oused @ SV1509 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1509 ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1555 @ SV183 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV183 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1104 ) @ ( c_Message_Omsg_OAgent @ SV683 ) ) ) ) @ ( c_List_Oset @ SV1509 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV183 @ SV683 @ ( c_Message_Omsg_OCrypt @ SV1104 @ ( c_Message_Omsg_ONonce @ SV1381 ) ) ) @ SV1509 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4340]) ).
thf(4370,plain,
! [SV688: $i,SV188: $i,SV1556: $i,SV1510: $i,SV1383: $i,SV1109: $i] :
( ( ( hBOOL @ ( c_in @ SV1109 @ c_Message_OsymKeys @ tc_nat ) )
= $false )
| ( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1383 ) @ ( c_Event_Oused @ SV1510 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1510 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1556 @ SV188 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV188 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1109 ) @ ( c_Message_Omsg_OAgent @ SV688 ) ) ) ) @ ( c_List_Oset @ SV1510 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV188 @ SV688 @ ( c_Message_Omsg_OCrypt @ SV1109 @ ( c_Message_Omsg_ONonce @ SV1383 ) ) ) @ SV1510 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4341]) ).
thf(4371,plain,
! [SV689: $i,SV1557: $i,SV189: $i,SV1511: $i,SV1384: $i,SV1110: $i] :
( ( ( hBOOL @ ( c_in @ SV1110 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1110 ) @ ( c_Message_Omsg_OMPair @ SV1384 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1511 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV189 ) @ SV1557 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV689 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV689 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV189 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4342]) ).
thf(4372,plain,
! [SV780: $i,SV1174: $i,SV287: $i,SV1559: $i,SV1519: $i,SV1422: $i] :
( ( ( hBOOL @ ( c_in @ SV1422 @ c_Message_OsymKeys @ tc_nat ) )
= $false )
| ( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1422 ) @ ( c_Event_Oused @ SV1519 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1519 ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1559 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV287 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1174 ) @ ( c_Message_Omsg_ONonce @ SV780 ) ) ) ) @ ( c_List_Oset @ SV1519 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV287 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV287 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV780 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1174 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1422 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1174 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1422 ) @ ( c_Message_Omsg_OAgent @ SV287 ) ) ) ) ) ) ) ) @ SV1519 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4347]) ).
thf(4373,plain,
! [SV781: $i,SV1175: $i,SV288: $i,SV1560: $i,SV1520: $i,SV1423: $i] :
( ( ( hBOOL @ ( c_in @ SV1423 @ c_Message_OsymKeys @ tc_nat ) )
= $false )
| ( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1423 ) @ ( c_Event_Oused @ SV1520 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1520 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1560 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV288 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1175 ) @ ( c_Message_Omsg_ONonce @ SV781 ) ) ) ) @ ( c_List_Oset @ SV1520 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV288 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV288 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV781 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1175 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1423 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1175 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1423 ) @ ( c_Message_Omsg_OAgent @ SV288 ) ) ) ) ) ) ) ) @ SV1520 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4348]) ).
thf(4374,plain,
! [SV292: $i,SV1179: $i,SV1583: $i,SV1561: $i,SV1521: $i,SV1426: $i,SV785: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV785 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1426 @ SV1521 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1521 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1561 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1583 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1179 ) @ SV292 ) ) ) ) ) @ ( c_List_Oset @ SV785 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1179 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV292 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV785 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4351]) ).
thf(4375,plain,
! [SV1427: $i,SV1605: $i,SV1522: $i,SV1598: $i,SV1180: $i,SV786: $i,SV1584: $i,SV293: $i,SV1562: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1562 @ SV293 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV293 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1584 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV786 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1180 ) @ SV1598 ) ) ) ) ) @ ( c_List_Oset @ SV1522 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1605 @ SV293 @ ( c_Message_Omsg_OCrypt @ SV1180 @ ( c_Message_Omsg_ONonce @ SV1427 ) ) ) @ ( c_List_Oset @ SV1522 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1180 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1522 ) ) )
= $true )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV293 @ SV786 @ ( c_Message_Omsg_OCrypt @ SV1180 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1427 ) @ ( c_Message_Omsg_ONonce @ SV1427 ) ) ) ) @ SV1522 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4352]) ).
thf(4376,plain,
! [SV1428: $i,SV1606: $i,SV1523: $i,SV1599: $i,SV1183: $i,SV789: $i,SV1585: $i,SV296: $i,SV1563: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1563 @ SV296 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV296 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1585 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV789 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1183 ) @ SV1599 ) ) ) ) ) @ ( c_List_Oset @ SV1523 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1606 @ SV296 @ ( c_Message_Omsg_OCrypt @ SV1183 @ ( c_Message_Omsg_ONonce @ SV1428 ) ) ) @ ( c_List_Oset @ SV1523 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1183 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV1523 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV296 @ SV789 @ ( c_Message_Omsg_OCrypt @ SV1183 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1428 ) @ ( c_Message_Omsg_ONonce @ SV1428 ) ) ) ) @ SV1523 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4353]) ).
thf(4377,plain,
! [SV1445: $i,SV1231: $i,SV1586: $i,SV853: $i,SV1525: $i,SV365: $i,SV1564: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1564 @ SV365 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV365 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1525 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV853 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1586 ) @ SV1231 ) ) ) ) ) @ ( c_List_Oset @ SV1445 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( ( SV365 = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1445 ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV365 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV365 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV853 ) @ ( c_Message_Omsg_ONonce @ SV1525 ) ) ) ) @ ( c_List_Oset @ SV1445 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV365 @ SV853 @ SV1231 ) @ SV1445 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4354]) ).
thf(4378,plain,
! [SV1587: $i,SV367: $i,SV1447: $i,SV855: $i,SV1233: $i,SV1526: $i,SV1565: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1565 @ SV1526 @ ( c_Message_Omsg_OCrypt @ SV1233 @ ( c_Message_Omsg_ONonce @ SV855 ) ) ) @ ( c_List_Oset @ SV1447 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1447 ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1526 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1526 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV367 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1565 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1233 ) @ SV1587 ) ) ) ) ) @ ( c_List_Oset @ SV1447 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV367 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV855 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV1233 ) ) ) ) @ SV1447 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4355]) ).
thf(4379,plain,
! [SV1529: $i,SV374: $i,SV1238: $i,SV862: $i,SV1568: $i,SV1450: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1450 ) @ ( c_Message_Omsg_OMPair @ SV1568 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV862 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1238 ) @ SV374 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1529 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV1450 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1529 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( SV374
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV862 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1238 ) @ ( c_Message_Omsg_OAgent @ SV1450 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4357]) ).
thf(4380,plain,
! [SV1451: $i,SV1239: $i,SV1589: $i,SV863: $i,SV1530: $i,SV375: $i,SV1569: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1569 @ SV375 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV375 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1530 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV863 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1589 ) @ SV1239 ) ) ) ) ) @ ( c_List_Oset @ SV1451 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( ( SV375 = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_in @ SV1451 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV375 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV375 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV863 ) @ ( c_Message_Omsg_ONonce @ SV1530 ) ) ) ) @ ( c_List_Oset @ SV1451 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV375 @ SV863 @ SV1239 ) @ SV1451 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4358]) ).
thf(4381,plain,
! [SV376: $i,SV1452: $i,SV1240: $i,SV1590: $i,SV1531: $i,SV1570: $i,SV864: $i] :
( ( ( hBOOL @ ( c_in @ SV864 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1570 @ SV1531 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1531 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1590 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1240 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1452 ) @ SV376 ) ) ) ) ) @ ( c_List_Oset @ SV864 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( SV376
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1240 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1452 ) @ ( c_Message_Omsg_OAgent @ SV1531 ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV376 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV864 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4359]) ).
thf(4382,plain,
! [SV1591: $i,SV377: $i,SV1453: $i,SV865: $i,SV1241: $i,SV1532: $i,SV1571: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1571 @ SV1532 @ ( c_Message_Omsg_OCrypt @ SV1241 @ ( c_Message_Omsg_ONonce @ SV865 ) ) ) @ ( c_List_Oset @ SV1453 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1453 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1532 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1532 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV377 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1571 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1241 ) @ SV1591 ) ) ) ) ) @ ( c_List_Oset @ SV1453 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV377 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV865 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV1241 ) ) ) ) @ SV1453 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4360]) ).
thf(4383,plain,
! [SV1572: $i,SV1533: $i,SV1454: $i,SV1242: $i,SV866: $i,SV378: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV378 ) @ ( c_Message_Omsg_OMPair @ SV866 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1242 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1454 ) @ SV1533 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1572 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV378 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1572 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV378 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV378 ) @ ( c_Message_Omsg_OMPair @ SV866 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1242 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1454 ) @ SV1533 ) ) ) ) ) @ ( c_List_Oset @ SV1572 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4361]) ).
thf(4384,plain,
! [SV1252: $i,SV1592: $i,SV1573: $i,SV1534: $i,SV1457: $i,SV390: $i,SV877: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV877 @ ( c_Message_Omsg_OCrypt @ SV390 @ ( c_Message_Omsg_OMPair @ SV1457 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1534 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1573 ) @ SV1592 ) ) ) ) ) @ ( c_List_Oset @ SV1252 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV1252 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( SV390
= ( hAPP @ c_Public_OshrK @ SV877 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4362]) ).
thf(4385,plain,
! [SV1611: $i,SV1607: $i,SV1601: $i,SV1593: $i,SV1574: $i,SV1535: $i,SV1460: $i,SV1258: $i,SV885: $i,SV398: $i] :
( ( ( SV398 = SV885 )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1258 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV885 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV885 ) @ ( c_Message_Omsg_OMPair @ SV1460 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1535 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1574 ) @ SV1593 ) ) ) ) ) @ ( c_List_Oset @ SV1258 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV398 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV398 ) @ ( c_Message_Omsg_OMPair @ SV1601 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1607 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1574 ) @ SV1611 ) ) ) ) ) @ ( c_List_Oset @ SV1258 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4363]) ).
thf(4386,plain,
! [SV1612: $i,SV1608: $i,SV1602: $i,SV1594: $i,SV1575: $i,SV1536: $i,SV1461: $i,SV1259: $i,SV886: $i,SV399: $i] :
( ( ( SV399 = SV886 )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1259 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1461 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1461 ) @ ( c_Message_Omsg_OMPair @ SV886 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1536 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1575 ) @ SV1594 ) ) ) ) ) @ ( c_List_Oset @ SV1259 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1602 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1602 ) @ ( c_Message_Omsg_OMPair @ SV399 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1608 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1575 ) @ SV1612 ) ) ) ) ) @ ( c_List_Oset @ SV1259 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4364]) ).
thf(4387,plain,
! [SV1613: $i,SV1609: $i,SV1603: $i,SV1595: $i,SV1576: $i,SV1537: $i,SV1462: $i,SV1260: $i,SV887: $i,SV400: $i] :
( ( ( SV400 = SV887 )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1260 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1462 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1462 ) @ ( c_Message_Omsg_OMPair @ SV1537 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV887 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1576 ) @ SV1595 ) ) ) ) ) @ ( c_List_Oset @ SV1260 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1603 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1603 ) @ ( c_Message_Omsg_OMPair @ SV1609 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV400 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1576 ) @ SV1613 ) ) ) ) ) @ ( c_List_Oset @ SV1260 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4365]) ).
thf(4388,plain,
! [SV1614: $i,SV1610: $i,SV1604: $i,SV1596: $i,SV1577: $i,SV1538: $i,SV1463: $i,SV1261: $i,SV888: $i,SV401: $i] :
( ( ( SV401 = SV888 )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1261 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1463 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1463 ) @ ( c_Message_Omsg_OMPair @ SV1538 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1577 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1596 ) @ SV888 ) ) ) ) ) @ ( c_List_Oset @ SV1261 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1604 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1604 ) @ ( c_Message_Omsg_OMPair @ SV1610 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1614 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1596 ) @ SV401 ) ) ) ) ) @ ( c_List_Oset @ SV1261 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4366]) ).
thf(4389,plain,
! [SV1539: $i,SV417: $i,SV1269: $i,SV904: $i,SV1597: $i,SV1578: $i,SV1465: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1465 @ ( c_Message_Omsg_OCrypt @ SV1578 @ ( c_Message_Omsg_OMPair @ SV1597 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV904 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1269 ) @ SV417 ) ) ) ) ) @ ( c_List_Oset @ SV1539 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV1539 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( SV417
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV904 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1269 ) @ ( c_Message_Omsg_OAgent @ SV1465 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4367]) ).
thf(4390,plain,
! [SV679: $i,SV1582: $i,SV179: $i,SV1554: $i,SV1508: $i,SV1379: $i,SV1101: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1101 @ ( c_Message_Omsg_OCrypt @ SV1379 @ ( c_Message_Omsg_OMPair @ SV1508 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1554 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV179 ) @ SV1582 ) ) ) ) ) @ ( c_List_Oset @ SV679 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV679 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV179 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4368]) ).
thf(4391,plain,
! [SV683: $i,SV183: $i,SV1555: $i,SV1104: $i,SV1509: $i,SV1381: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1381 ) @ ( c_Event_Oused @ SV1509 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1509 ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1104 @ c_Message_OsymKeys @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1555 @ SV183 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV183 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1104 ) @ ( c_Message_Omsg_OAgent @ SV683 ) ) ) ) @ ( c_List_Oset @ SV1509 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV183 @ SV683 @ ( c_Message_Omsg_OCrypt @ SV1104 @ ( c_Message_Omsg_ONonce @ SV1381 ) ) ) @ SV1509 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4369]) ).
thf(4392,plain,
! [SV688: $i,SV188: $i,SV1556: $i,SV1109: $i,SV1510: $i,SV1383: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1383 ) @ ( c_Event_Oused @ SV1510 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1510 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1109 @ c_Message_OsymKeys @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1556 @ SV188 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV188 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1109 ) @ ( c_Message_Omsg_OAgent @ SV688 ) ) ) ) @ ( c_List_Oset @ SV1510 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV188 @ SV688 @ ( c_Message_Omsg_OCrypt @ SV1109 @ ( c_Message_Omsg_ONonce @ SV1383 ) ) ) @ SV1510 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4370]) ).
thf(4393,plain,
! [SV689: $i,SV1557: $i,SV189: $i,SV1511: $i,SV1384: $i,SV1110: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1110 ) @ ( c_Message_Omsg_OMPair @ SV1384 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1511 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV189 ) @ SV1557 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV689 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV1110 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV689 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV189 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4371]) ).
thf(4394,plain,
! [SV780: $i,SV1174: $i,SV287: $i,SV1559: $i,SV1519: $i,SV1422: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1422 ) @ ( c_Event_Oused @ SV1519 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1519 ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1422 @ c_Message_OsymKeys @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1559 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV287 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1174 ) @ ( c_Message_Omsg_ONonce @ SV780 ) ) ) ) @ ( c_List_Oset @ SV1519 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV287 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV287 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV780 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1174 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1422 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1174 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1422 ) @ ( c_Message_Omsg_OAgent @ SV287 ) ) ) ) ) ) ) ) @ SV1519 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4372]) ).
thf(4395,plain,
! [SV781: $i,SV1175: $i,SV288: $i,SV1560: $i,SV1520: $i,SV1423: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1423 ) @ ( c_Event_Oused @ SV1520 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1520 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1423 @ c_Message_OsymKeys @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1560 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV288 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1175 ) @ ( c_Message_Omsg_ONonce @ SV781 ) ) ) ) @ ( c_List_Oset @ SV1520 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV288 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV288 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV781 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1175 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1423 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1175 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1423 ) @ ( c_Message_Omsg_OAgent @ SV288 ) ) ) ) ) ) ) ) @ SV1520 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4373]) ).
thf(4396,plain,
! [SV292: $i,SV1179: $i,SV1583: $i,SV1561: $i,SV1521: $i,SV1426: $i,SV785: $i] :
( ( ( hBOOL @ ( c_in @ SV785 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1426 @ SV1521 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1521 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1561 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1583 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1179 ) @ SV292 ) ) ) ) ) @ ( c_List_Oset @ SV785 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1179 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV292 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV785 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4374]) ).
thf(4397,plain,
! [SV1427: $i,SV1605: $i,SV1522: $i,SV1598: $i,SV1180: $i,SV786: $i,SV1584: $i,SV293: $i,SV1562: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1562 @ SV293 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV293 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1584 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV786 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1180 ) @ SV1598 ) ) ) ) ) @ ( c_List_Oset @ SV1522 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1605 @ SV293 @ ( c_Message_Omsg_OCrypt @ SV1180 @ ( c_Message_Omsg_ONonce @ SV1427 ) ) ) @ ( c_List_Oset @ SV1522 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1180 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1522 ) ) )
= $true )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV293 @ SV786 @ ( c_Message_Omsg_OCrypt @ SV1180 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1427 ) @ ( c_Message_Omsg_ONonce @ SV1427 ) ) ) ) @ SV1522 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4375]) ).
thf(4398,plain,
! [SV1428: $i,SV1606: $i,SV1523: $i,SV1599: $i,SV1183: $i,SV789: $i,SV1585: $i,SV296: $i,SV1563: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1563 @ SV296 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV296 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1585 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV789 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1183 ) @ SV1599 ) ) ) ) ) @ ( c_List_Oset @ SV1523 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1606 @ SV296 @ ( c_Message_Omsg_OCrypt @ SV1183 @ ( c_Message_Omsg_ONonce @ SV1428 ) ) ) @ ( c_List_Oset @ SV1523 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1183 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV1523 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV296 @ SV789 @ ( c_Message_Omsg_OCrypt @ SV1183 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1428 ) @ ( c_Message_Omsg_ONonce @ SV1428 ) ) ) ) @ SV1523 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4376]) ).
thf(4399,plain,
! [SV1445: $i,SV1231: $i,SV1586: $i,SV853: $i,SV1525: $i,SV365: $i,SV1564: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1564 @ SV365 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV365 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1525 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV853 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1586 ) @ SV1231 ) ) ) ) ) @ ( c_List_Oset @ SV1445 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( ( SV365 = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1445 ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV365 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV365 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV853 ) @ ( c_Message_Omsg_ONonce @ SV1525 ) ) ) ) @ ( c_List_Oset @ SV1445 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV365 @ SV853 @ SV1231 ) @ SV1445 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4377]) ).
thf(4400,plain,
! [SV1587: $i,SV367: $i,SV1447: $i,SV855: $i,SV1233: $i,SV1526: $i,SV1565: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1565 @ SV1526 @ ( c_Message_Omsg_OCrypt @ SV1233 @ ( c_Message_Omsg_ONonce @ SV855 ) ) ) @ ( c_List_Oset @ SV1447 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1447 ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1526 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1526 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV367 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1565 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1233 ) @ SV1587 ) ) ) ) ) @ ( c_List_Oset @ SV1447 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV367 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV855 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV1233 ) ) ) ) @ SV1447 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4378]) ).
thf(4401,plain,
! [SV1451: $i,SV1239: $i,SV1589: $i,SV863: $i,SV1530: $i,SV375: $i,SV1569: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1569 @ SV375 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV375 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1530 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV863 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1589 ) @ SV1239 ) ) ) ) ) @ ( c_List_Oset @ SV1451 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( ( SV375 = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_in @ SV1451 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV375 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV375 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV863 ) @ ( c_Message_Omsg_ONonce @ SV1530 ) ) ) ) @ ( c_List_Oset @ SV1451 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV375 @ SV863 @ SV1239 ) @ SV1451 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4380]) ).
thf(4402,plain,
! [SV864: $i,SV376: $i,SV1452: $i,SV1240: $i,SV1590: $i,SV1531: $i,SV1570: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1570 @ SV1531 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1531 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1590 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1240 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1452 ) @ SV376 ) ) ) ) ) @ ( c_List_Oset @ SV864 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV864 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( SV376
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1240 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1452 ) @ ( c_Message_Omsg_OAgent @ SV1531 ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV376 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV864 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4381]) ).
thf(4403,plain,
! [SV1591: $i,SV377: $i,SV1453: $i,SV865: $i,SV1241: $i,SV1532: $i,SV1571: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1571 @ SV1532 @ ( c_Message_Omsg_OCrypt @ SV1241 @ ( c_Message_Omsg_ONonce @ SV865 ) ) ) @ ( c_List_Oset @ SV1453 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV1453 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1532 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1532 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV377 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1571 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1241 ) @ SV1591 ) ) ) ) ) @ ( c_List_Oset @ SV1453 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV377 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV865 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV1241 ) ) ) ) @ SV1453 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4382]) ).
thf(4404,plain,
! [SV1611: $i,SV1607: $i,SV1601: $i,SV398: $i,SV1593: $i,SV1574: $i,SV1535: $i,SV1460: $i,SV885: $i,SV1258: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV1258 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV885 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV885 ) @ ( c_Message_Omsg_OMPair @ SV1460 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1535 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1574 ) @ SV1593 ) ) ) ) ) @ ( c_List_Oset @ SV1258 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV398 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV398 ) @ ( c_Message_Omsg_OMPair @ SV1601 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1607 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1574 ) @ SV1611 ) ) ) ) ) @ ( c_List_Oset @ SV1258 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( SV398 = SV885 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4385]) ).
thf(4405,plain,
! [SV1612: $i,SV1608: $i,SV399: $i,SV1602: $i,SV1594: $i,SV1575: $i,SV1536: $i,SV886: $i,SV1461: $i,SV1259: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV1259 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1461 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1461 ) @ ( c_Message_Omsg_OMPair @ SV886 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1536 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1575 ) @ SV1594 ) ) ) ) ) @ ( c_List_Oset @ SV1259 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1602 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1602 ) @ ( c_Message_Omsg_OMPair @ SV399 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1608 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1575 ) @ SV1612 ) ) ) ) ) @ ( c_List_Oset @ SV1259 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( SV399 = SV886 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4386]) ).
thf(4406,plain,
! [SV1613: $i,SV400: $i,SV1609: $i,SV1603: $i,SV1595: $i,SV1576: $i,SV887: $i,SV1537: $i,SV1462: $i,SV1260: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV1260 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1462 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1462 ) @ ( c_Message_Omsg_OMPair @ SV1537 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV887 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1576 ) @ SV1595 ) ) ) ) ) @ ( c_List_Oset @ SV1260 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1603 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1603 ) @ ( c_Message_Omsg_OMPair @ SV1609 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV400 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1576 ) @ SV1613 ) ) ) ) ) @ ( c_List_Oset @ SV1260 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( SV400 = SV887 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4387]) ).
thf(4407,plain,
! [SV401: $i,SV1614: $i,SV1610: $i,SV1604: $i,SV888: $i,SV1596: $i,SV1577: $i,SV1538: $i,SV1463: $i,SV1261: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV1261 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1463 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1463 ) @ ( c_Message_Omsg_OMPair @ SV1538 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1577 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1596 ) @ SV888 ) ) ) ) ) @ ( c_List_Oset @ SV1261 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1604 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1604 ) @ ( c_Message_Omsg_OMPair @ SV1610 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1614 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1596 ) @ SV401 ) ) ) ) ) @ ( c_List_Oset @ SV1261 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( SV401 = SV888 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4388]) ).
thf(4408,plain,
! [SV683: $i,SV183: $i,SV1555: $i,SV1104: $i,SV1381: $i,SV1509: $i] :
( ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1509 ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1381 ) @ ( c_Event_Oused @ SV1509 ) @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1104 @ c_Message_OsymKeys @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1555 @ SV183 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV183 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1104 ) @ ( c_Message_Omsg_OAgent @ SV683 ) ) ) ) @ ( c_List_Oset @ SV1509 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV183 @ SV683 @ ( c_Message_Omsg_OCrypt @ SV1104 @ ( c_Message_Omsg_ONonce @ SV1381 ) ) ) @ SV1509 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4391]) ).
thf(4409,plain,
! [SV688: $i,SV188: $i,SV1556: $i,SV1109: $i,SV1383: $i,SV1510: $i] :
( ( ( hBOOL @ ( c_in @ SV1510 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1383 ) @ ( c_Event_Oused @ SV1510 ) @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1109 @ c_Message_OsymKeys @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1556 @ SV188 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV188 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1109 ) @ ( c_Message_Omsg_OAgent @ SV688 ) ) ) ) @ ( c_List_Oset @ SV1510 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV188 @ SV688 @ ( c_Message_Omsg_OCrypt @ SV1109 @ ( c_Message_Omsg_ONonce @ SV1383 ) ) ) @ SV1510 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4392]) ).
thf(4410,plain,
! [SV780: $i,SV1174: $i,SV287: $i,SV1559: $i,SV1422: $i,SV1519: $i] :
( ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1519 ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1422 ) @ ( c_Event_Oused @ SV1519 ) @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1422 @ c_Message_OsymKeys @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1559 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV287 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1174 ) @ ( c_Message_Omsg_ONonce @ SV780 ) ) ) ) @ ( c_List_Oset @ SV1519 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV287 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV287 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV780 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1174 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1422 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1174 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1422 ) @ ( c_Message_Omsg_OAgent @ SV287 ) ) ) ) ) ) ) ) @ SV1519 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4394]) ).
thf(4411,plain,
! [SV781: $i,SV1175: $i,SV288: $i,SV1560: $i,SV1423: $i,SV1520: $i] :
( ( ( hBOOL @ ( c_in @ SV1520 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1423 ) @ ( c_Event_Oused @ SV1520 ) @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1423 @ c_Message_OsymKeys @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1560 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV288 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1175 ) @ ( c_Message_Omsg_ONonce @ SV781 ) ) ) ) @ ( c_List_Oset @ SV1520 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV288 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV288 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV781 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1175 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1423 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1175 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1423 ) @ ( c_Message_Omsg_OAgent @ SV288 ) ) ) ) ) ) ) ) @ SV1520 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4395]) ).
thf(4412,plain,
! [SV785: $i,SV292: $i,SV1179: $i,SV1583: $i,SV1561: $i,SV1521: $i,SV1426: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1426 @ SV1521 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1521 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1561 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1583 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1179 ) @ SV292 ) ) ) ) ) @ ( c_List_Oset @ SV785 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV785 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV1179 @ ( c_Set_Oimage @ c_Public_OshrK @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ tc_Message_Oagent @ tc_bool ) ) @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV292 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV785 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4396]) ).
thf(4413,plain,
! [SV1598: $i,SV786: $i,SV1584: $i,SV1562: $i,SV1522: $i,SV1427: $i,SV1180: $i,SV293: $i,SV1605: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1605 @ SV293 @ ( c_Message_Omsg_OCrypt @ SV1180 @ ( c_Message_Omsg_ONonce @ SV1427 ) ) ) @ ( c_List_Oset @ SV1522 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1180 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1522 ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1562 @ SV293 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV293 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1584 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV786 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1180 ) @ SV1598 ) ) ) ) ) @ ( c_List_Oset @ SV1522 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV293 @ SV786 @ ( c_Message_Omsg_OCrypt @ SV1180 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1427 ) @ ( c_Message_Omsg_ONonce @ SV1427 ) ) ) ) @ SV1522 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4397]) ).
thf(4414,plain,
! [SV1599: $i,SV789: $i,SV1585: $i,SV1563: $i,SV1523: $i,SV1428: $i,SV1183: $i,SV296: $i,SV1606: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1606 @ SV296 @ ( c_Message_Omsg_OCrypt @ SV1183 @ ( c_Message_Omsg_ONonce @ SV1428 ) ) ) @ ( c_List_Oset @ SV1523 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1183 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV1523 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1563 @ SV296 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV296 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1585 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV789 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1183 ) @ SV1599 ) ) ) ) ) @ ( c_List_Oset @ SV1523 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV296 @ SV789 @ ( c_Message_Omsg_OCrypt @ SV1183 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1428 ) @ ( c_Message_Omsg_ONonce @ SV1428 ) ) ) ) @ SV1523 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4398]) ).
thf(4415,plain,
! [SV1231: $i,SV1586: $i,SV853: $i,SV1525: $i,SV1564: $i,SV1445: $i,SV365: $i] :
( ( ( SV365 = c_Message_Oagent_OServer )
= $true )
| ( ( ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1445 ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1564 @ SV365 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV365 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1525 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV853 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1586 ) @ SV1231 ) ) ) ) ) @ ( c_List_Oset @ SV1445 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV365 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV365 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV853 ) @ ( c_Message_Omsg_ONonce @ SV1525 ) ) ) ) @ ( c_List_Oset @ SV1445 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV365 @ SV853 @ SV1231 ) @ SV1445 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4399]) ).
thf(4416,plain,
! [SV1587: $i,SV367: $i,SV855: $i,SV1233: $i,SV1526: $i,SV1565: $i,SV1447: $i] :
( ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1447 ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1565 @ SV1526 @ ( c_Message_Omsg_OCrypt @ SV1233 @ ( c_Message_Omsg_ONonce @ SV855 ) ) ) @ ( c_List_Oset @ SV1447 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1526 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1526 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV367 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1565 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1233 ) @ SV1587 ) ) ) ) ) @ ( c_List_Oset @ SV1447 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV367 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV855 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV1233 ) ) ) ) @ SV1447 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4400]) ).
thf(4417,plain,
! [SV1239: $i,SV1589: $i,SV863: $i,SV1530: $i,SV1569: $i,SV1451: $i,SV375: $i] :
( ( ( SV375 = c_Message_Oagent_OServer )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1451 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1569 @ SV375 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV375 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1530 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV863 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1589 ) @ SV1239 ) ) ) ) ) @ ( c_List_Oset @ SV1451 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV375 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV375 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV863 ) @ ( c_Message_Omsg_ONonce @ SV1530 ) ) ) ) @ ( c_List_Oset @ SV1451 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV375 @ SV863 @ SV1239 ) @ SV1451 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4401]) ).
thf(4418,plain,
! [SV1591: $i,SV377: $i,SV865: $i,SV1241: $i,SV1532: $i,SV1571: $i,SV1453: $i] :
( ( ( hBOOL @ ( c_in @ SV1453 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1571 @ SV1532 @ ( c_Message_Omsg_OCrypt @ SV1241 @ ( c_Message_Omsg_ONonce @ SV865 ) ) ) @ ( c_List_Oset @ SV1453 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1532 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1532 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV377 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1571 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1241 ) @ SV1591 ) ) ) ) ) @ ( c_List_Oset @ SV1453 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV377 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV865 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV1241 ) ) ) ) @ SV1453 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4403]) ).
thf(4419,plain,
! [SV1611: $i,SV1607: $i,SV1601: $i,SV398: $i,SV1593: $i,SV1574: $i,SV1535: $i,SV1460: $i,SV885: $i,SV1258: $i] :
( ( ( hBOOL @ ( c_in @ SV1258 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV885 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV885 ) @ ( c_Message_Omsg_OMPair @ SV1460 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1535 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1574 ) @ SV1593 ) ) ) ) ) @ ( c_List_Oset @ SV1258 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV398 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV398 ) @ ( c_Message_Omsg_OMPair @ SV1601 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1607 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1574 ) @ SV1611 ) ) ) ) ) @ ( c_List_Oset @ SV1258 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( SV398 = SV885 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4404]) ).
thf(4420,plain,
! [SV1612: $i,SV1608: $i,SV399: $i,SV1602: $i,SV1594: $i,SV1575: $i,SV1536: $i,SV886: $i,SV1461: $i,SV1259: $i] :
( ( ( hBOOL @ ( c_in @ SV1259 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1461 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1461 ) @ ( c_Message_Omsg_OMPair @ SV886 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1536 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1575 ) @ SV1594 ) ) ) ) ) @ ( c_List_Oset @ SV1259 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1602 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1602 ) @ ( c_Message_Omsg_OMPair @ SV399 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1608 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1575 ) @ SV1612 ) ) ) ) ) @ ( c_List_Oset @ SV1259 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( SV399 = SV886 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4405]) ).
thf(4421,plain,
! [SV1613: $i,SV400: $i,SV1609: $i,SV1603: $i,SV1595: $i,SV1576: $i,SV887: $i,SV1537: $i,SV1462: $i,SV1260: $i] :
( ( ( hBOOL @ ( c_in @ SV1260 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1462 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1462 ) @ ( c_Message_Omsg_OMPair @ SV1537 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV887 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1576 ) @ SV1595 ) ) ) ) ) @ ( c_List_Oset @ SV1260 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1603 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1603 ) @ ( c_Message_Omsg_OMPair @ SV1609 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV400 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1576 ) @ SV1613 ) ) ) ) ) @ ( c_List_Oset @ SV1260 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( SV400 = SV887 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4406]) ).
thf(4422,plain,
! [SV401: $i,SV1614: $i,SV1610: $i,SV1604: $i,SV888: $i,SV1596: $i,SV1577: $i,SV1538: $i,SV1463: $i,SV1261: $i] :
( ( ( hBOOL @ ( c_in @ SV1261 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1463 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1463 ) @ ( c_Message_Omsg_OMPair @ SV1538 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1577 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1596 ) @ SV888 ) ) ) ) ) @ ( c_List_Oset @ SV1261 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1604 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1604 ) @ ( c_Message_Omsg_OMPair @ SV1610 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1614 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1596 ) @ SV401 ) ) ) ) ) @ ( c_List_Oset @ SV1261 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( SV401 = SV888 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4407]) ).
thf(4423,plain,
! [SV1598: $i,SV786: $i,SV1584: $i,SV1562: $i,SV1522: $i,SV1427: $i,SV1180: $i,SV293: $i,SV1605: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1605 @ SV293 @ ( c_Message_Omsg_OCrypt @ SV1180 @ ( c_Message_Omsg_ONonce @ SV1427 ) ) ) @ ( c_List_Oset @ SV1522 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV1180 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1522 ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1562 @ SV293 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV293 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1584 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV786 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1180 ) @ SV1598 ) ) ) ) ) @ ( c_List_Oset @ SV1522 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV293 @ SV786 @ ( c_Message_Omsg_OCrypt @ SV1180 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1427 ) @ ( c_Message_Omsg_ONonce @ SV1427 ) ) ) ) @ SV1522 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4413]) ).
thf(4424,plain,
! [SV1599: $i,SV789: $i,SV1585: $i,SV1563: $i,SV1523: $i,SV1428: $i,SV1183: $i,SV296: $i,SV1606: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1606 @ SV296 @ ( c_Message_Omsg_OCrypt @ SV1183 @ ( c_Message_Omsg_ONonce @ SV1428 ) ) ) @ ( c_List_Oset @ SV1523 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV1183 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV1523 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1563 @ SV296 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV296 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1585 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV789 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1183 ) @ SV1599 ) ) ) ) ) @ ( c_List_Oset @ SV1523 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV296 @ SV789 @ ( c_Message_Omsg_OCrypt @ SV1183 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1428 ) @ ( c_Message_Omsg_ONonce @ SV1428 ) ) ) ) @ SV1523 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4414]) ).
thf(4425,plain,
! [SV1231: $i,SV1586: $i,SV853: $i,SV1525: $i,SV1564: $i,SV365: $i,SV1445: $i] :
( ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1445 ) )
= $false )
| ( ( SV365 = c_Message_Oagent_OServer )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1564 @ SV365 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV365 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1525 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV853 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1586 ) @ SV1231 ) ) ) ) ) @ ( c_List_Oset @ SV1445 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV365 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV365 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV853 ) @ ( c_Message_Omsg_ONonce @ SV1525 ) ) ) ) @ ( c_List_Oset @ SV1445 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV365 @ SV853 @ SV1231 ) @ SV1445 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4415]) ).
thf(4426,plain,
! [SV1239: $i,SV1589: $i,SV863: $i,SV1530: $i,SV1569: $i,SV375: $i,SV1451: $i] :
( ( ( hBOOL @ ( c_in @ SV1451 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( SV375 = c_Message_Oagent_OServer )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1569 @ SV375 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV375 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1530 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV863 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1589 ) @ SV1239 ) ) ) ) ) @ ( c_List_Oset @ SV1451 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV375 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV375 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV863 ) @ ( c_Message_Omsg_ONonce @ SV1530 ) ) ) ) @ ( c_List_Oset @ SV1451 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV375 @ SV863 @ SV1239 ) @ SV1451 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4417]) ).
thf(4427,plain,
! [SV1611: $i,SV1607: $i,SV1601: $i,SV398: $i,SV1258: $i,SV1593: $i,SV1574: $i,SV1535: $i,SV1460: $i,SV885: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV885 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV885 ) @ ( c_Message_Omsg_OMPair @ SV1460 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1535 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1574 ) @ SV1593 ) ) ) ) ) @ ( c_List_Oset @ SV1258 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV398 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV398 ) @ ( c_Message_Omsg_OMPair @ SV1601 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1607 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1574 ) @ SV1611 ) ) ) ) ) @ ( c_List_Oset @ SV1258 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1258 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( SV398 = SV885 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4419]) ).
thf(4428,plain,
! [SV1612: $i,SV1608: $i,SV399: $i,SV1602: $i,SV1259: $i,SV1594: $i,SV1575: $i,SV1536: $i,SV886: $i,SV1461: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1461 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1461 ) @ ( c_Message_Omsg_OMPair @ SV886 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1536 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1575 ) @ SV1594 ) ) ) ) ) @ ( c_List_Oset @ SV1259 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1602 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1602 ) @ ( c_Message_Omsg_OMPair @ SV399 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1608 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1575 ) @ SV1612 ) ) ) ) ) @ ( c_List_Oset @ SV1259 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1259 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( SV399 = SV886 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4420]) ).
thf(4429,plain,
! [SV1613: $i,SV400: $i,SV1609: $i,SV1603: $i,SV1260: $i,SV1595: $i,SV1576: $i,SV887: $i,SV1537: $i,SV1462: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1462 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1462 ) @ ( c_Message_Omsg_OMPair @ SV1537 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV887 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1576 ) @ SV1595 ) ) ) ) ) @ ( c_List_Oset @ SV1260 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1603 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1603 ) @ ( c_Message_Omsg_OMPair @ SV1609 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV400 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1576 ) @ SV1613 ) ) ) ) ) @ ( c_List_Oset @ SV1260 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1260 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( SV400 = SV887 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4421]) ).
thf(4430,plain,
! [SV401: $i,SV1614: $i,SV1610: $i,SV1604: $i,SV1261: $i,SV888: $i,SV1596: $i,SV1577: $i,SV1538: $i,SV1463: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1463 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1463 ) @ ( c_Message_Omsg_OMPair @ SV1538 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1577 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1596 ) @ SV888 ) ) ) ) ) @ ( c_List_Oset @ SV1261 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1604 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1604 ) @ ( c_Message_Omsg_OMPair @ SV1610 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1614 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1596 ) @ SV401 ) ) ) ) ) @ ( c_List_Oset @ SV1261 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1261 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( SV401 = SV888 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4422]) ).
thf(4431,plain,
! [SV1598: $i,SV786: $i,SV1584: $i,SV1562: $i,SV1427: $i,SV293: $i,SV1605: $i,SV1522: $i,SV1180: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV1180 @ c_Message_OsymKeys @ tc_nat ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1522 ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1605 @ SV293 @ ( c_Message_Omsg_OCrypt @ SV1180 @ ( c_Message_Omsg_ONonce @ SV1427 ) ) ) @ ( c_List_Oset @ SV1522 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1562 @ SV293 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV293 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1584 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV786 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1180 ) @ SV1598 ) ) ) ) ) @ ( c_List_Oset @ SV1522 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV293 @ SV786 @ ( c_Message_Omsg_OCrypt @ SV1180 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1427 ) @ ( c_Message_Omsg_ONonce @ SV1427 ) ) ) ) @ SV1522 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4423]) ).
thf(4432,plain,
! [SV1599: $i,SV789: $i,SV1585: $i,SV1563: $i,SV1428: $i,SV296: $i,SV1606: $i,SV1523: $i,SV1183: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV1183 @ c_Message_OsymKeys @ tc_nat ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1523 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1606 @ SV296 @ ( c_Message_Omsg_OCrypt @ SV1183 @ ( c_Message_Omsg_ONonce @ SV1428 ) ) ) @ ( c_List_Oset @ SV1523 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1563 @ SV296 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV296 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1585 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV789 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1183 ) @ SV1599 ) ) ) ) ) @ ( c_List_Oset @ SV1523 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV296 @ SV789 @ ( c_Message_Omsg_OCrypt @ SV1183 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1428 ) @ ( c_Message_Omsg_ONonce @ SV1428 ) ) ) ) @ SV1523 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4424]) ).
thf(4433,plain,
! [SV1611: $i,SV1607: $i,SV1601: $i,SV398: $i,SV1258: $i,SV1593: $i,SV1574: $i,SV1535: $i,SV1460: $i,SV885: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV885 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV885 ) @ ( c_Message_Omsg_OMPair @ SV1460 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1535 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1574 ) @ SV1593 ) ) ) ) ) @ ( c_List_Oset @ SV1258 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV398 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV398 ) @ ( c_Message_Omsg_OMPair @ SV1601 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1607 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1574 ) @ SV1611 ) ) ) ) ) @ ( c_List_Oset @ SV1258 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1258 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( SV398 = SV885 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4427]) ).
thf(4434,plain,
! [SV1612: $i,SV1608: $i,SV399: $i,SV1602: $i,SV1259: $i,SV1594: $i,SV1575: $i,SV1536: $i,SV886: $i,SV1461: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1461 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1461 ) @ ( c_Message_Omsg_OMPair @ SV886 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1536 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1575 ) @ SV1594 ) ) ) ) ) @ ( c_List_Oset @ SV1259 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1602 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1602 ) @ ( c_Message_Omsg_OMPair @ SV399 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1608 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1575 ) @ SV1612 ) ) ) ) ) @ ( c_List_Oset @ SV1259 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1259 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( SV399 = SV886 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4428]) ).
thf(4435,plain,
! [SV1613: $i,SV400: $i,SV1609: $i,SV1603: $i,SV1260: $i,SV1595: $i,SV1576: $i,SV887: $i,SV1537: $i,SV1462: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1462 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1462 ) @ ( c_Message_Omsg_OMPair @ SV1537 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV887 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1576 ) @ SV1595 ) ) ) ) ) @ ( c_List_Oset @ SV1260 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1603 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1603 ) @ ( c_Message_Omsg_OMPair @ SV1609 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV400 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1576 ) @ SV1613 ) ) ) ) ) @ ( c_List_Oset @ SV1260 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1260 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( SV400 = SV887 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4429]) ).
thf(4436,plain,
! [SV401: $i,SV1614: $i,SV1610: $i,SV1604: $i,SV1261: $i,SV888: $i,SV1596: $i,SV1577: $i,SV1538: $i,SV1463: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1463 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1463 ) @ ( c_Message_Omsg_OMPair @ SV1538 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1577 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1596 ) @ SV888 ) ) ) ) ) @ ( c_List_Oset @ SV1261 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1604 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1604 ) @ ( c_Message_Omsg_OMPair @ SV1610 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1614 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1596 ) @ SV401 ) ) ) ) ) @ ( c_List_Oset @ SV1261 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1261 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( SV401 = SV888 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4430]) ).
thf(4437,plain,
! [SV1598: $i,SV786: $i,SV1584: $i,SV1562: $i,SV1427: $i,SV293: $i,SV1605: $i,SV1522: $i,SV1180: $i] :
( ( ( hBOOL @ ( c_in @ SV1180 @ c_Message_OsymKeys @ tc_nat ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1522 ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1605 @ SV293 @ ( c_Message_Omsg_OCrypt @ SV1180 @ ( c_Message_Omsg_ONonce @ SV1427 ) ) ) @ ( c_List_Oset @ SV1522 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1562 @ SV293 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV293 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1584 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV786 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1180 ) @ SV1598 ) ) ) ) ) @ ( c_List_Oset @ SV1522 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV293 @ SV786 @ ( c_Message_Omsg_OCrypt @ SV1180 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1427 ) @ ( c_Message_Omsg_ONonce @ SV1427 ) ) ) ) @ SV1522 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4431]) ).
thf(4438,plain,
! [SV1599: $i,SV789: $i,SV1585: $i,SV1563: $i,SV1428: $i,SV296: $i,SV1606: $i,SV1523: $i,SV1183: $i] :
( ( ( hBOOL @ ( c_in @ SV1183 @ c_Message_OsymKeys @ tc_nat ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV1523 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1606 @ SV296 @ ( c_Message_Omsg_OCrypt @ SV1183 @ ( c_Message_Omsg_ONonce @ SV1428 ) ) ) @ ( c_List_Oset @ SV1523 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1563 @ SV296 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV296 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1585 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV789 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1183 ) @ SV1599 ) ) ) ) ) @ ( c_List_Oset @ SV1523 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV296 @ SV789 @ ( c_Message_Omsg_OCrypt @ SV1183 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1428 ) @ ( c_Message_Omsg_ONonce @ SV1428 ) ) ) ) @ SV1523 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4432]) ).
thf(4439,plain,
! [SV1593: $i,SV1535: $i,SV1460: $i,SV885: $i,SV1258: $i,SV1611: $i,SV1574: $i,SV1607: $i,SV1601: $i,SV398: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV398 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV398 ) @ ( c_Message_Omsg_OMPair @ SV1601 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1607 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1574 ) @ SV1611 ) ) ) ) ) @ ( c_List_Oset @ SV1258 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV885 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV885 ) @ ( c_Message_Omsg_OMPair @ SV1460 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1535 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1574 ) @ SV1593 ) ) ) ) ) @ ( c_List_Oset @ SV1258 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV1258 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( SV398 = SV885 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4433]) ).
thf(4440,plain,
! [SV1594: $i,SV1536: $i,SV886: $i,SV1461: $i,SV1259: $i,SV1612: $i,SV1575: $i,SV1608: $i,SV399: $i,SV1602: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1602 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1602 ) @ ( c_Message_Omsg_OMPair @ SV399 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1608 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1575 ) @ SV1612 ) ) ) ) ) @ ( c_List_Oset @ SV1259 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1461 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1461 ) @ ( c_Message_Omsg_OMPair @ SV886 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1536 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1575 ) @ SV1594 ) ) ) ) ) @ ( c_List_Oset @ SV1259 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV1259 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( SV399 = SV886 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4434]) ).
thf(4441,plain,
! [SV1595: $i,SV887: $i,SV1537: $i,SV1462: $i,SV1260: $i,SV1613: $i,SV1576: $i,SV400: $i,SV1609: $i,SV1603: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1603 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1603 ) @ ( c_Message_Omsg_OMPair @ SV1609 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV400 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1576 ) @ SV1613 ) ) ) ) ) @ ( c_List_Oset @ SV1260 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1462 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1462 ) @ ( c_Message_Omsg_OMPair @ SV1537 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV887 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1576 ) @ SV1595 ) ) ) ) ) @ ( c_List_Oset @ SV1260 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV1260 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( SV400 = SV887 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4435]) ).
thf(4442,plain,
! [SV888: $i,SV1577: $i,SV1538: $i,SV1463: $i,SV1261: $i,SV401: $i,SV1596: $i,SV1614: $i,SV1610: $i,SV1604: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1604 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1604 ) @ ( c_Message_Omsg_OMPair @ SV1610 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1614 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1596 ) @ SV401 ) ) ) ) ) @ ( c_List_Oset @ SV1261 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1463 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1463 ) @ ( c_Message_Omsg_OMPair @ SV1538 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1577 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1596 ) @ SV888 ) ) ) ) ) @ ( c_List_Oset @ SV1261 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV1261 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( SV401 = SV888 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4436]) ).
thf(4443,plain,
! [SV1598: $i,SV786: $i,SV1584: $i,SV1562: $i,SV1427: $i,SV293: $i,SV1605: $i,SV1180: $i,SV1522: $i] :
( ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1522 ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV1180 @ c_Message_OsymKeys @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1605 @ SV293 @ ( c_Message_Omsg_OCrypt @ SV1180 @ ( c_Message_Omsg_ONonce @ SV1427 ) ) ) @ ( c_List_Oset @ SV1522 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1562 @ SV293 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV293 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1584 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV786 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1180 ) @ SV1598 ) ) ) ) ) @ ( c_List_Oset @ SV1522 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV293 @ SV786 @ ( c_Message_Omsg_OCrypt @ SV1180 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1427 ) @ ( c_Message_Omsg_ONonce @ SV1427 ) ) ) ) @ SV1522 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4437]) ).
thf(4444,plain,
! [SV1599: $i,SV789: $i,SV1585: $i,SV1563: $i,SV1428: $i,SV296: $i,SV1606: $i,SV1183: $i,SV1523: $i] :
( ( ( hBOOL @ ( c_in @ SV1523 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV1183 @ c_Message_OsymKeys @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1606 @ SV296 @ ( c_Message_Omsg_OCrypt @ SV1183 @ ( c_Message_Omsg_ONonce @ SV1428 ) ) ) @ ( c_List_Oset @ SV1523 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1563 @ SV296 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV296 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1585 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV789 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1183 ) @ SV1599 ) ) ) ) ) @ ( c_List_Oset @ SV1523 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV296 @ SV789 @ ( c_Message_Omsg_OCrypt @ SV1183 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1428 ) @ ( c_Message_Omsg_ONonce @ SV1428 ) ) ) ) @ SV1523 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4438]) ).
thf(4445,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[1121,4444,4443,4442,4441,4440,4439,4426,4425,4418,4416,4412,4411,4410,4409,4408,4402,4393,4390,4389,4384,4383,4379,4356,4350,4349,4346,4345,4344,4343,4338,4337,4336,4321,4320,4312,4307,4306,4305,4300,4299,4296,4295,4294,4292,4291,4290,4289,4288,4287,4286,4285,4284,4283,4282,4270,4257,4256,4255,4254,4249,4248,4239,4237,4235,4234,4233,4232,4231,4228,4227,4226,4225,4224,4223,4221,4215,4211,4210,4209,4206,4204,4200,4199,4198,4196,4195,4194,4189,4187,4186,4185,4177,4172,4171,4170,4169,4168,4167,4166,4160,4157,4156,4155,4154,4153,4141,4140,4139,4135,4134,4127,4125,4123,4122,4120,4119,4118,4117,4116,4114,4113,4098,4097,4096,4095,4093,4092,4088,4087,4086,4085,4084,4083,4082,4081,4080,4077,4076,4074,4071,4070,4068,4067,4064,4061,4057,4055,4054,4051,4048,4047,4046,4045,4041,4040,4034,4033,4032,4031,4026,4024,4017,4016,4012,4010,4009,4005,4004,4003,3983,3982,3971,3970,3969,3968,3966,3965,3964,3963,3961,3960,3949,3939,3937,3931,3929,3921,3920,3909,3907,3904,3903,3900,3896,3892,3887,3882,3875,3868,3867,3857,3855,3854,3851,3850,3848,3845,3843,3842,3841,3832,3830,3829,3811,3810,3809,3808,3796,3788,3782,3781,3780,3779,3778,3776,3775,3773,3768,3767,3747,3746,3745,3744,3743,3742,3741,3738,3737,3729,3723,3722,3711,3710,3707,3703,3700,3697,3693,3690,3689,3681,3678,3660,3659,3655,3648,3646,3642,3637,3635,3634,3633,3624,3621,3617,3615,3614,3613,3612,3611,3607,3604,3601,3600,3594,3592,3588,3585,3578,3576,3572,3568,3565,3564,3563,3562,3558,3557,3553,3551,3550,3549,3548,3547,3546,3545,3544,3543,3542,3538,3533,3530,3526,3522,3512,3511,3505,3480,3479,3477,3471,3470,3469,3463,3461,3460,3459,3458,3456,3454,3453,3452,3451,3450,3449,3447,3445,3432,3431,3430,3429,3428,3427,3426,3425,3413,3411,3407,3406,3392,3389,3388,3387,3386,3384,3382,3376,3375,3373,3372,3356,3353,3351,3350,3343,3342,3325,3316,3315,3302,3296,3295,3291,3290,3285,3284,3283,3280,3279,3278,3277,3276,3275,3262,3261,3254,3253,3252,3251,3250,3249,3248,3247,3242,3240,3238,3207,3184,3177,3174,3172,3167,3161,3090,3086,3084,3081,3079,3078,3073,3072,3071,3066,3055,3045,3042,3040,3038,3001,2998,2993,2984,2983,2958,2957,2956,2952,2951,2939,2938,2933,2924,2923,2919,2918,2907,2876,2868,2857,2856,2851,2850,2848,2847,2846,2843,2842,2841,2837,2833,2829,2827,2819,2817,2795,2794,2780,2774,2753,2725,2722,2707,2687,2686,2676,2631,2630,2627,2622,2585,2559,2551,2511,2510,2508,2493,2492,2491,2483,2482,2481,2452,2451,2444,2443,2441,2439,2409,2408,2395,2382,2376,2374,2357,2353,2352,2347,2346,2344,2343,2342,2329,2324,2317,2316,2312,2300,2294,2259,2252,2235,2219,2206,2191,2189,2149,2123,2120,2100,2099,2098,2048,2046,1970,1928,1925,1921,1904,1901,1830,1828,1823,1822,1804,1801,1799,1791,1770,1765,1764,1673,1672,1671,1670,1669,1668,1667,1666,1665,1664,1663,1662,1661,1660,1659,1658,1657,1582,1463,1239,1227,1210,1209,1195,1125,1123,1122]) ).
thf(4446,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[4445]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV744-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.19 % Computer : n014.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Tue Oct 6 16:42:41 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.20 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 215.40/36.35 ....
% 215.40/36.35
% 215.40/36.35 No.of.Axioms: 557
% 215.40/36.35
% 215.40/36.35 Length.of.Defs: 0
% 215.40/36.35
% 215.40/36.35 Contains.Choice.Funs: false
% 215.40/36.35 .....................................................................................................................................................................
% 215.40/36.35
% 215.40/36.35 ********************************
% 215.40/36.35 * All subproblems solved! *
% 215.40/36.35 ********************************
% 215.40/36.35 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:557,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:298,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:4445,loop_count:0,foatp_calls:1,translation:fof_full)
% 215.40/36.35
% 215.40/36.35 %**** Beginning of derivation protocol ****
% 215.40/36.35 % SZS output start CNFRefutation
% See solution above
% 215.40/36.38
% 215.40/36.38 %**** End of derivation protocol ****
% 215.40/36.38 %**** no. of clauses in derivation: 4446 ****
% 215.40/36.38 %**** clause counter: 4445 ****
% 215.40/36.38
% 215.40/36.38 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:557,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:298,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:4445,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------