%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SWV756-1 : 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 : n004.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 10:58:46 AM UTC 2026
% Result : Unsatisfiable 139.11s 23.42s
% Output : CNFRefutation 139.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 591
% Syntax : Number of formulae : 4681 (3274 unt; 0 typ; 0 def)
% Number of atoms : 22196 (8241 equ; 0 cnn)
% Maximal formula atoms : 6 ( 4 avg)
% Number of connectives : 85956 (4928 ~;5929 |; 0 &;75099 @)
% ( 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 : 87 ( 84 usr; 32 con; 0-4 aty)
% Number of variables : 15754 ( 0 ^;15754 !; 0 ?;15754 :)
% 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_Olinorder__class_Osorted,type,
c_List_Olinorder__class_Osorted: $i > $i > $o ).
thf(tp_c_List_Olist_OCons,type,
c_List_Olist_OCons: $i > $i > $i > $i ).
thf(tp_c_List_Olist_ONil,type,
c_List_Olist_ONil: $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_Osko__Message__Xanalz__insert__eq__I__1__1,type,
c_Message_Osko__Message__Xanalz__insert__eq__I__1__1: $i > $i > $i ).
thf(tp_c_Message_Osko__Message__Xparts__insert__eq__I__1__1,type,
c_Message_Osko__Message__Xparts__insert__eq__I__1__1: $i > $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_Public_Osko__Public__XNonce__supply1__1__1,type,
c_Public_Osko__Public__XNonce__supply1__1__1: $i > $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_A_H,type,
v_A_H: $i ).
thf(tp_v_Aa,type,
v_Aa: $i ).
thf(tp_v_B,type,
v_B: $i ).
thf(tp_v_Ba,type,
v_Ba: $i ).
thf(tp_v_K,type,
v_K: $i ).
thf(tp_v_KAB,type,
v_KAB: $i ).
thf(tp_v_NA,type,
v_NA: $i ).
thf(tp_v_NAa,type,
v_NAa: $i ).
thf(tp_v_NB,type,
v_NB: $i ).
thf(tp_v_X,type,
v_X: $i ).
thf(tp_v_evs2,type,
v_evs2: $i ).
thf(tp_v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1,type,
v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1: $i > $i > $i > $i > $i ).
thf(tp_v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1,type,
v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1: $i > $i > $i > $i ).
thf(tp_v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1,type,
v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1: $i > $i > $i > $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_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(31,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(32,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(33,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(34,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(35,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(36,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(37,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(38,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(39,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(40,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(41,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(42,axiom,
c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osimps_I5_J_0) ).
thf(43,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(44,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(45,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(46,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(47,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(48,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(49,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(50,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(51,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(52,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(53,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(54,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(55,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(56,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(57,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(58,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(59,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(60,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(61,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(62,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(63,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(64,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(65,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(66,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(67,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(68,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(69,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(70,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osimps_I4_J_0) ).
thf(71,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(72,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(73,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(74,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(75,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(76,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(77,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(78,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(79,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(80,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(81,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(82,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(83,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(84,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(85,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(86,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(87,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(88,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(89,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(90,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(91,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(92,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(93,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(94,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(95,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(96,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(97,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(98,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(99,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(100,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(101,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(102,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(103,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(104,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(105,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(106,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(107,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(108,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(109,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(110,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(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_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(113,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(114,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(115,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(116,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(117,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(118,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(119,axiom,
! [V_A: $i,V_B: $i,V_K: $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_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1 @ V_A @ V_B @ V_K @ V_evs ) @ ( 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_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_B @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( 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_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_B__trusts__NS3_0) ).
thf(120,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(121,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(122,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(123,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(124,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(125,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(126,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(127,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(128,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(129,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(130,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(131,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(132,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(133,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(134,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(135,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(136,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(137,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(138,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(139,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(140,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(141,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(142,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(143,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(144,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(145,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(146,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(147,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(148,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(149,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(150,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(151,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(152,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(153,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(154,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(155,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(156,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(157,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(158,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(159,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(160,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(161,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(162,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(163,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(164,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(165,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(166,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(167,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(168,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(169,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(170,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(171,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(172,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(173,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(174,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(175,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(176,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(177,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(178,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(179,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(180,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(181,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(182,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(183,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(184,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(185,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(186,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(187,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(188,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(189,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(190,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(191,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(192,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(193,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(194,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(195,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(196,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(197,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(198,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(199,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(200,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(201,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(202,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(203,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(204,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(205,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(206,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(207,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(208,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(209,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(210,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(211,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(212,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(213,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(214,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(215,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(216,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(217,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(218,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(219,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(220,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(221,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(222,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(223,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(224,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(225,axiom,
! [V_K: $i,V_evs: $i,V_NA: $i,V_B: $i,V_A: $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 @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1 @ V_K @ V_NA @ V_evs ) @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) ) ) ) @ ( 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_B @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( 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_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_secrecy__lemma_0) ).
thf(226,axiom,
! [V_K: $i,V_evs: $i,V_B: $i,V_A: $i,V_NA: $i,V_K_H: $i,V_X: $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_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ V_B @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1 @ V_K @ V_NA @ V_evs ) @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) ) ) ) @ ( 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 @ V_K_H @ ( 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_Spy__not__see__encrypted__key_0) ).
thf(227,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(228,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(229,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(230,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(231,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(232,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(233,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(234,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(235,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(236,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(237,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(238,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(239,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(240,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(241,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(242,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(243,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(244,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(245,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(246,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(247,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(248,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(249,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(250,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(251,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(252,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(253,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(254,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(255,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(256,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(257,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(258,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(259,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(260,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(261,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(262,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(263,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(264,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(265,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(266,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(267,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(268,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(269,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(270,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(271,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(272,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(273,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(274,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(275,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(276,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(277,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(278,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(279,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(280,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(281,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(282,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(283,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(284,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(285,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(286,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(287,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(288,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(289,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(290,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(291,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(292,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(293,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(294,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(295,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(296,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(297,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(298,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(299,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(300,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(301,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(302,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(303,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(304,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(305,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(306,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(307,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(308,axiom,
! [T_a: $i,V_x: $i,V_xa: $i,V_xs: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_lessequals @ V_x @ V_xa @ T_a )
| ~ ( hBOOL @ ( c_in @ V_xa @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sorted__Cons_1) ).
thf(309,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(310,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(311,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(312,axiom,
! [V_N: $i] :
~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ V_N ) @ ( c_Event_Oused @ ( c_List_Olist_ONil @ tc_Event_Oevent ) ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nonce__notin__used__empty_0) ).
thf(313,axiom,
! [V_evs: $i] :
~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ ( c_Public_Osko__Public__XNonce__supply1__1__1 @ V_evs ) ) @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Nonce__supply1_0) ).
thf(314,axiom,
! [V_K: $i,V_X: $i] :
~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Event_Oused @ ( c_List_Olist_ONil @ tc_Event_Oevent ) ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__notin__used__empty_0) ).
thf(315,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(316,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(317,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(318,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(319,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(320,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(321,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(322,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(323,axiom,
! [V_X: $i,V_H: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Osko__Message__Xanalz__insert__eq__I__1__1 @ V_H @ V_X ) @ ( c_Set_Oinsert @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_analz__insert__eq__I_1) ).
thf(324,axiom,
! [V_X: $i,V_H: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Osko__Message__Xanalz__insert__eq__I__1__1 @ V_H @ V_X ) @ ( 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__insert__eq__I_0) ).
thf(325,axiom,
! [V_X: $i,V_H: $i] :
( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Osko__Message__Xparts__insert__eq__I__1__1 @ V_H @ 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__eq__I_0) ).
thf(326,axiom,
! [V_X: $i,V_H: $i] :
( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Osko__Message__Xparts__insert__eq__I__1__1 @ V_H @ V_X ) @ ( c_Set_Oinsert @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__insert__eq__I_1) ).
thf(327,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(328,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(329,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(330,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(331,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(332,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(333,axiom,
hBOOL @ ( c_in @ ( c_List_Olist_ONil @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__shared_ONil_0) ).
thf(334,axiom,
! [V_evs: $i] : ( c_lessequals @ ( c_Event_Oused @ ( c_List_Olist_ONil @ tc_Event_Oevent ) ) @ ( c_Event_Oused @ V_evs ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_used__nil__subset_0) ).
thf(335,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(336,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(337,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(338,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(339,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(340,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(341,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(342,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(343,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(344,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(345,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(346,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(347,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(348,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(349,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(350,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(351,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(352,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(353,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(354,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(355,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(356,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(357,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(358,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(359,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(360,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(361,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(362,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(363,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(364,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(365,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(366,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(367,axiom,
! [T_a: $i,V_x: $i,V_y: $i,V_zs: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_OCons @ V_y @ V_zs @ T_a ) @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_y @ V_zs @ T_a ) @ T_a )
| ~ ( c_lessequals @ V_x @ V_y @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sorted_Osimps_I3_J_2) ).
thf(368,axiom,
! [T_a: $i,V_x: $i,V_y: $i,V_zs: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_lessequals @ V_x @ V_y @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_OCons @ V_y @ V_zs @ T_a ) @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sorted_Osimps_I3_J_0) ).
thf(369,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(370,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(371,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(372,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(373,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(374,axiom,
! [V_xs: $i,T_a: $i] :
( ( ( c_List_Oset @ V_xs @ T_a )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__empty_0) ).
thf(375,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(376,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(377,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(378,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(379,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(380,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(381,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(382,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(383,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(384,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(385,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(386,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(387,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(388,axiom,
! [V_A: $i] :
( ( c_Event_Oknows @ V_A @ ( c_List_Olist_ONil @ tc_Event_Oevent ) )
= ( c_Event_OinitState @ V_A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_knows__Nil_0) ).
thf(389,axiom,
! [T_a: $i] :
( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_List_Oset @ ( c_List_Olist_ONil @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__empty2_1) ).
thf(390,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(391,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(392,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(393,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(394,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(395,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(396,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(397,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(398,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(399,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(400,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(401,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(402,axiom,
! [T_a: $i,V_a_H: $i,V_list_H: $i] :
( ( c_List_Olist_ONil @ T_a )
!= ( c_List_Olist_OCons @ V_a_H @ V_list_H @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list_Osimps_I2_J_0) ).
thf(403,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(404,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(405,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(406,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(407,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(408,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(409,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(410,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(411,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(412,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(413,axiom,
hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_ONil @ tc_Event_Oevent ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_ns__sharedp_ONil_0) ).
thf(414,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(415,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(416,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(417,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(418,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(419,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(420,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(421,axiom,
! [T_a: $i,V_xs: $i] :
( ( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) )
!= ( c_List_Oset @ V_xs @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__empty2_0) ).
thf(422,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(423,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(424,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(425,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(426,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(427,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(428,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(429,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(430,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(431,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(432,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(433,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(434,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(435,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(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,
! [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(438,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(439,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(440,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(441,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(442,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(443,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(444,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(445,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(446,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(447,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(448,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(449,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(450,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(451,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(452,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(453,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(454,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(455,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(456,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(457,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(458,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(459,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(460,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(461,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(462,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(463,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(464,axiom,
! [T_a: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sorted_Osimps_I2_J_0) ).
thf(465,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(466,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(467,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(468,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(469,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(470,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(471,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(472,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(473,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(474,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(475,axiom,
! [T_a: $i,V_xs: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ V_xs @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sorted__Cons_0) ).
thf(476,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(477,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(478,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(479,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(480,axiom,
! [V_a_H: $i,V_list_H: $i,T_a: $i] :
( ( c_List_Olist_OCons @ V_a_H @ V_list_H @ T_a )
!= ( c_List_Olist_ONil @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list_Osimps_I3_J_0) ).
thf(481,axiom,
! [V_x: $i,V_xa: $i,T_a: $i] :
( ( c_List_Olist_OCons @ V_x @ V_xa @ T_a )
!= ( c_List_Olist_ONil @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_neq__Nil__conv_1) ).
thf(482,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(483,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(484,axiom,
! [T_a: $i,V_y: $i,V_zs: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_y @ V_zs @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_OCons @ V_y @ V_zs @ T_a ) @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sorted_Osimps_I3_J_1) ).
thf(485,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(486,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(487,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(488,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(489,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(490,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(491,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(492,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(493,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(494,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(495,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(496,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(497,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(498,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(499,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(500,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(501,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(502,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(503,axiom,
! [T_a: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_ONil @ T_a ) @ T_a ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_sorted_Osimps_I1_J_0) ).
thf(504,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(505,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(506,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(507,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(508,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(509,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(510,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(511,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(512,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(513,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(514,axiom,
! [T_a: $i] :
( ( c_List_Oset @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__empty_1) ).
thf(515,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(516,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(517,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(518,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(519,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(520,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(521,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(522,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(523,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(524,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(525,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(526,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(527,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(528,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(529,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(530,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(531,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(532,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(533,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(534,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(535,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(536,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(537,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(538,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(539,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(540,axiom,
c_Public_Okeymode_OEncryption != c_Public_Okeymode_OSignature,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_keymode_Osimps_I2_J_0) ).
thf(541,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(542,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(543,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(544,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(545,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(546,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(547,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(548,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(549,axiom,
c_Public_Okeymode_OSignature != c_Public_Okeymode_OEncryption,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_keymode_Osimps_I1_J_0) ).
thf(550,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(551,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(552,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(553,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(554,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(555,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(556,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(557,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(558,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(559,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(560,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(561,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(562,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(563,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(564,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(565,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(566,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(567,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(568,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(569,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(570,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(571,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(572,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(573,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(574,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(575,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(576,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(577,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(578,conjecture,
$false,
file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).
thf(579,negated_conjecture,
$false = $false,
inference(negate_conjecture,[status(cth)],[578]) ).
thf(580,negated_conjecture,
( ( 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_evs2 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ v_K @ ( c_Message_Omsg_ONonce @ v_NB ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2 ) ) @ 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 @ ( c_Message_Omsg_OAgent @ v_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ v_X ) ) ) ) ) @ ( c_List_Oset @ v_evs2 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_12) ).
thf(581,negated_conjecture,
~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ v_Ba @ v_Aa @ ( c_Message_Omsg_OCrypt @ v_KAB @ ( c_Message_Omsg_ONonce @ v_NB ) ) ) @ ( c_List_Oset @ v_evs2 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_11) ).
thf(582,negated_conjecture,
hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ v_KAB @ ( c_Message_Omsg_ONonce @ v_NB ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2 ) ) @ tc_Message_Omsg ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_10) ).
thf(583,negated_conjecture,
( v_X
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ v_Ba ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ v_KAB ) @ ( c_Message_Omsg_OAgent @ v_Aa ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_9) ).
thf(584,negated_conjecture,
v_K = v_KAB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_8) ).
thf(585,negated_conjecture,
v_B = v_Ba,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).
thf(586,negated_conjecture,
( v_NA
= ( c_Message_Omsg_ONonce @ v_NAa ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
thf(587,negated_conjecture,
v_A = v_Aa,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
thf(588,negated_conjecture,
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2 ) ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
thf(589,negated_conjecture,
hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ v_A_H @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_Aa ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_Ba ) @ ( c_Message_Omsg_ONonce @ v_NAa ) ) ) ) @ ( c_List_Oset @ v_evs2 @ tc_Event_Oevent ) @ tc_Event_Oevent ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
thf(590,negated_conjecture,
hBOOL @ ( c_in @ v_KAB @ c_Message_OsymKeys @ tc_nat ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
thf(591,negated_conjecture,
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ v_KAB ) @ ( c_Event_Oused @ v_evs2 ) @ tc_Message_Omsg ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
thf(592,negated_conjecture,
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_conjecture_0) ).
thf(593,plain,
$false = $false,
inference(unfold_def,[status(thm)],[579]) ).
thf(594,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(595,plain,
( ( ! [V_x: $i,T_a: $i] : ( c_fequal @ V_x @ V_x @ T_a ) )
= $true ),
inference(unfold_def,[status(thm)],[2]) ).
thf(596,plain,
( ( class_HOL_Oord @ tc_bool )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(597,plain,
( ( class_HOL_Ouminus @ tc_bool )
= $true ),
inference(unfold_def,[status(thm)],[4]) ).
thf(598,plain,
( ( class_Orderings_Obot @ tc_bool )
= $true ),
inference(unfold_def,[status(thm)],[5]) ).
thf(599,plain,
( ( class_Orderings_Otop @ tc_bool )
= $true ),
inference(unfold_def,[status(thm)],[6]) ).
thf(600,plain,
( ( class_Orderings_Oorder @ tc_bool )
= $true ),
inference(unfold_def,[status(thm)],[7]) ).
thf(601,plain,
( ( class_Lattices_Olattice @ tc_bool )
= $true ),
inference(unfold_def,[status(thm)],[8]) ).
thf(602,plain,
( ( class_Orderings_Opreorder @ tc_bool )
= $true ),
inference(unfold_def,[status(thm)],[9]) ).
thf(603,plain,
( ( class_Lattices_Oboolean__algebra @ tc_bool )
= $true ),
inference(unfold_def,[status(thm)],[10]) ).
thf(604,plain,
( ( class_Lattices_Obounded__lattice @ tc_bool )
= $true ),
inference(unfold_def,[status(thm)],[11]) ).
thf(605,plain,
( ( class_Lattices_Oupper__semilattice @ tc_bool )
= $true ),
inference(unfold_def,[status(thm)],[12]) ).
thf(606,plain,
( ( class_HOL_Oord @ tc_nat )
= $true ),
inference(unfold_def,[status(thm)],[13]) ).
thf(607,plain,
( ( class_Orderings_Obot @ tc_nat )
= $true ),
inference(unfold_def,[status(thm)],[14]) ).
thf(608,plain,
( ( class_Orderings_Oorder @ tc_nat )
= $true ),
inference(unfold_def,[status(thm)],[15]) ).
thf(609,plain,
( ( class_Lattices_Olattice @ tc_nat )
= $true ),
inference(unfold_def,[status(thm)],[16]) ).
thf(610,plain,
( ( class_Orderings_Olinorder @ tc_nat )
= $true ),
inference(unfold_def,[status(thm)],[17]) ).
thf(611,plain,
( ( class_Orderings_Opreorder @ tc_nat )
= $true ),
inference(unfold_def,[status(thm)],[18]) ).
thf(612,plain,
( ( class_Lattices_Oupper__semilattice @ tc_nat )
= $true ),
inference(unfold_def,[status(thm)],[19]) ).
thf(613,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(614,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(615,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(616,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(617,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(618,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(619,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(620,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(621,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(622,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(623,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)],[30]) ).
thf(624,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)],[31]) ).
thf(625,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)],[32]) ).
thf(626,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)],[33]) ).
thf(627,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)],[34]) ).
thf(628,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)],[35]) ).
thf(629,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)],[36]) ).
thf(630,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)],[37]) ).
thf(631,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)],[38]) ).
thf(632,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)],[39]) ).
thf(633,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)],[40]) ).
thf(634,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)],[41]) ).
thf(635,plain,
( ( c_Message_Oagent_OSpy != c_Message_Oagent_OServer )
= $true ),
inference(unfold_def,[status(thm)],[42]) ).
thf(636,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)],[43]) ).
thf(637,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)],[44]) ).
thf(638,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)],[45]) ).
thf(639,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)],[46]) ).
thf(640,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)],[47]) ).
thf(641,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)],[48]) ).
thf(642,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)],[49]) ).
thf(643,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)],[50]) ).
thf(644,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)],[51]) ).
thf(645,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)],[52]) ).
thf(646,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)],[53]) ).
thf(647,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)],[54]) ).
thf(648,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)],[55]) ).
thf(649,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)],[56]) ).
thf(650,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)],[57]) ).
thf(651,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)],[58]) ).
thf(652,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)],[59]) ).
thf(653,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)],[60]) ).
thf(654,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)],[61]) ).
thf(655,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)],[62]) ).
thf(656,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)],[63]) ).
thf(657,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)],[64]) ).
thf(658,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)],[65]) ).
thf(659,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)],[66]) ).
thf(660,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)],[67]) ).
thf(661,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)],[68]) ).
thf(662,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)],[69]) ).
thf(663,plain,
( ( c_Message_Oagent_OServer != c_Message_Oagent_OSpy )
= $true ),
inference(unfold_def,[status(thm)],[70]) ).
thf(664,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)],[71]) ).
thf(665,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)],[72]) ).
thf(666,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)],[73]) ).
thf(667,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)],[74]) ).
thf(668,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)],[75]) ).
thf(669,plain,
( ( ! [V_H: $i] :
( ( c_Message_Oanalz @ ( c_Message_Oparts @ V_H ) )
= ( c_Message_Oparts @ V_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[76]) ).
thf(670,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)],[77]) ).
thf(671,plain,
( ( ! [V_H: $i] :
( ( c_Message_Oparts @ ( c_Message_Oparts @ V_H ) )
= ( c_Message_Oparts @ V_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[78]) ).
thf(672,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)],[79]) ).
thf(673,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)],[80]) ).
thf(674,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)],[81]) ).
thf(675,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)],[82]) ).
thf(676,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)],[83]) ).
thf(677,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)],[84]) ).
thf(678,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)],[85]) ).
thf(679,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)],[86]) ).
thf(680,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)],[87]) ).
thf(681,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)],[88]) ).
thf(682,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)],[89]) ).
thf(683,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)],[90]) ).
thf(684,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)],[91]) ).
thf(685,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)],[92]) ).
thf(686,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)],[93]) ).
thf(687,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)],[94]) ).
thf(688,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)],[95]) ).
thf(689,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)],[96]) ).
thf(690,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)],[97]) ).
thf(691,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)],[98]) ).
thf(692,plain,
( ( ! [V_H: $i] :
( ( c_Message_Oanalz @ ( c_Message_Oanalz @ V_H ) )
= ( c_Message_Oanalz @ V_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[99]) ).
thf(693,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)],[100]) ).
thf(694,plain,
( ( ! [V_H: $i] :
( ( c_Message_Oparts @ ( c_Message_Oanalz @ V_H ) )
= ( c_Message_Oparts @ V_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[101]) ).
thf(695,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)],[102]) ).
thf(696,plain,
( ( ! [V_X: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ V_X ) @ c_Message_OsymKeys @ tc_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[103]) ).
thf(697,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)],[104]) ).
thf(698,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)],[105]) ).
thf(699,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)],[106]) ).
thf(700,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)],[107]) ).
thf(701,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)],[108]) ).
thf(702,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)],[109]) ).
thf(703,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)],[110]) ).
thf(704,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(705,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)],[112]) ).
thf(706,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)],[113]) ).
thf(707,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)],[114]) ).
thf(708,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)],[115]) ).
thf(709,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)],[116]) ).
thf(710,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)],[117]) ).
thf(711,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)],[118]) ).
thf(712,plain,
( ( ! [V_A: $i,V_B: $i,V_K: $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_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1 @ V_A @ V_B @ V_K @ V_evs ) @ ( 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_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_B @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( 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_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[119]) ).
thf(713,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)],[120]) ).
thf(714,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)],[121]) ).
thf(715,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)],[122]) ).
thf(716,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)],[123]) ).
thf(717,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)],[124]) ).
thf(718,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)],[125]) ).
thf(719,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)],[126]) ).
thf(720,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)],[127]) ).
thf(721,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)],[128]) ).
thf(722,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)],[129]) ).
thf(723,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)],[130]) ).
thf(724,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)],[131]) ).
thf(725,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)],[132]) ).
thf(726,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)],[133]) ).
thf(727,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)],[134]) ).
thf(728,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)],[135]) ).
thf(729,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)],[136]) ).
thf(730,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)],[137]) ).
thf(731,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)],[138]) ).
thf(732,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)],[139]) ).
thf(733,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)],[140]) ).
thf(734,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)],[141]) ).
thf(735,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)],[142]) ).
thf(736,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)],[143]) ).
thf(737,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)],[144]) ).
thf(738,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)],[145]) ).
thf(739,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)],[146]) ).
thf(740,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)],[147]) ).
thf(741,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)],[148]) ).
thf(742,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)],[149]) ).
thf(743,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)],[150]) ).
thf(744,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)],[151]) ).
thf(745,plain,
( ( hBOOL @ ( c_in @ c_Message_Oagent_OSpy @ c_Event_Obad @ tc_Message_Oagent ) )
= $true ),
inference(unfold_def,[status(thm)],[152]) ).
thf(746,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)],[153]) ).
thf(747,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)],[154]) ).
thf(748,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)],[155]) ).
thf(749,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)],[156]) ).
thf(750,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)],[157]) ).
thf(751,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)],[158]) ).
thf(752,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)],[159]) ).
thf(753,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)],[160]) ).
thf(754,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)],[161]) ).
thf(755,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)],[162]) ).
thf(756,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)],[163]) ).
thf(757,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)],[164]) ).
thf(758,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)],[165]) ).
thf(759,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)],[166]) ).
thf(760,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)],[167]) ).
thf(761,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)],[168]) ).
thf(762,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)],[169]) ).
thf(763,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)],[170]) ).
thf(764,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)],[171]) ).
thf(765,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)],[172]) ).
thf(766,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)],[173]) ).
thf(767,plain,
( ( ~ ( hBOOL @ ( c_in @ c_Message_Oagent_OServer @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true ),
inference(unfold_def,[status(thm)],[174]) ).
thf(768,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)],[175]) ).
thf(769,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)],[176]) ).
thf(770,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)],[177]) ).
thf(771,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)],[178]) ).
thf(772,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)],[179]) ).
thf(773,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)],[180]) ).
thf(774,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)],[181]) ).
thf(775,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)],[182]) ).
thf(776,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)],[183]) ).
thf(777,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)],[184]) ).
thf(778,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)],[185]) ).
thf(779,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)],[186]) ).
thf(780,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)],[187]) ).
thf(781,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)],[188]) ).
thf(782,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)],[189]) ).
thf(783,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)],[190]) ).
thf(784,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)],[191]) ).
thf(785,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)],[192]) ).
thf(786,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)],[193]) ).
thf(787,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)],[194]) ).
thf(788,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)],[195]) ).
thf(789,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)],[196]) ).
thf(790,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)],[197]) ).
thf(791,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)],[198]) ).
thf(792,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)],[199]) ).
thf(793,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)],[200]) ).
thf(794,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)],[201]) ).
thf(795,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)],[202]) ).
thf(796,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)],[203]) ).
thf(797,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)],[204]) ).
thf(798,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)],[205]) ).
thf(799,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)],[206]) ).
thf(800,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)],[207]) ).
thf(801,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)],[208]) ).
thf(802,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)],[209]) ).
thf(803,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)],[210]) ).
thf(804,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)],[211]) ).
thf(805,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)],[212]) ).
thf(806,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)],[213]) ).
thf(807,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)],[214]) ).
thf(808,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)],[215]) ).
thf(809,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)],[216]) ).
thf(810,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)],[217]) ).
thf(811,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)],[218]) ).
thf(812,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)],[219]) ).
thf(813,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)],[220]) ).
thf(814,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)],[221]) ).
thf(815,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)],[222]) ).
thf(816,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)],[223]) ).
thf(817,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)],[224]) ).
thf(818,plain,
( ( ! [V_K: $i,V_evs: $i,V_NA: $i,V_B: $i,V_A: $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 @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1 @ V_K @ V_NA @ V_evs ) @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) ) ) ) @ ( 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_B @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( 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_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[225]) ).
thf(819,plain,
( ( ! [V_K: $i,V_evs: $i,V_B: $i,V_A: $i,V_NA: $i,V_K_H: $i,V_X: $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_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ V_B @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1 @ V_K @ V_NA @ V_evs ) @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) ) ) ) @ ( 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 @ V_K_H @ ( 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)],[226]) ).
thf(820,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)],[227]) ).
thf(821,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)],[228]) ).
thf(822,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)],[229]) ).
thf(823,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)],[230]) ).
thf(824,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)],[231]) ).
thf(825,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)],[232]) ).
thf(826,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)],[233]) ).
thf(827,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)],[234]) ).
thf(828,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)],[235]) ).
thf(829,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)],[236]) ).
thf(830,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)],[237]) ).
thf(831,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)],[238]) ).
thf(832,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)],[239]) ).
thf(833,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)],[240]) ).
thf(834,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)],[241]) ).
thf(835,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)],[242]) ).
thf(836,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)],[243]) ).
thf(837,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)],[244]) ).
thf(838,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)],[245]) ).
thf(839,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)],[246]) ).
thf(840,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)],[247]) ).
thf(841,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)],[248]) ).
thf(842,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)],[249]) ).
thf(843,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)],[250]) ).
thf(844,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)],[251]) ).
thf(845,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)],[252]) ).
thf(846,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)],[253]) ).
thf(847,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)],[254]) ).
thf(848,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)],[255]) ).
thf(849,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)],[256]) ).
thf(850,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)],[257]) ).
thf(851,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)],[258]) ).
thf(852,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)],[259]) ).
thf(853,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)],[260]) ).
thf(854,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)],[261]) ).
thf(855,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)],[262]) ).
thf(856,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)],[263]) ).
thf(857,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)],[264]) ).
thf(858,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)],[265]) ).
thf(859,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)],[266]) ).
thf(860,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)],[267]) ).
thf(861,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)],[268]) ).
thf(862,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)],[269]) ).
thf(863,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)],[270]) ).
thf(864,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)],[271]) ).
thf(865,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)],[272]) ).
thf(866,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)],[273]) ).
thf(867,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)],[274]) ).
thf(868,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)],[275]) ).
thf(869,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)],[276]) ).
thf(870,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)],[277]) ).
thf(871,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)],[278]) ).
thf(872,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)],[279]) ).
thf(873,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)],[280]) ).
thf(874,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)],[281]) ).
thf(875,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)],[282]) ).
thf(876,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)],[283]) ).
thf(877,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)],[284]) ).
thf(878,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)],[285]) ).
thf(879,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)],[286]) ).
thf(880,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)],[287]) ).
thf(881,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)],[288]) ).
thf(882,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)],[289]) ).
thf(883,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)],[290]) ).
thf(884,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)],[291]) ).
thf(885,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)],[292]) ).
thf(886,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)],[293]) ).
thf(887,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)],[294]) ).
thf(888,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)],[295]) ).
thf(889,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)],[296]) ).
thf(890,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)],[297]) ).
thf(891,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)],[298]) ).
thf(892,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)],[299]) ).
thf(893,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)],[300]) ).
thf(894,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)],[301]) ).
thf(895,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)],[302]) ).
thf(896,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)],[303]) ).
thf(897,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)],[304]) ).
thf(898,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)],[305]) ).
thf(899,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)],[306]) ).
thf(900,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)],[307]) ).
thf(901,plain,
( ( ! [T_a: $i,V_x: $i,V_xa: $i,V_xs: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_lessequals @ V_x @ V_xa @ T_a )
| ~ ( hBOOL @ ( c_in @ V_xa @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[308]) ).
thf(902,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)],[309]) ).
thf(903,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)],[310]) ).
thf(904,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)],[311]) ).
thf(905,plain,
( ( ! [V_N: $i] :
~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ V_N ) @ ( c_Event_Oused @ ( c_List_Olist_ONil @ tc_Event_Oevent ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[312]) ).
thf(906,plain,
( ( ! [V_evs: $i] :
~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ ( c_Public_Osko__Public__XNonce__supply1__1__1 @ V_evs ) ) @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[313]) ).
thf(907,plain,
( ( ! [V_K: $i,V_X: $i] :
~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Event_Oused @ ( c_List_Olist_ONil @ tc_Event_Oevent ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[314]) ).
thf(908,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)],[315]) ).
thf(909,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)],[316]) ).
thf(910,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)],[317]) ).
thf(911,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)],[318]) ).
thf(912,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)],[319]) ).
thf(913,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)],[320]) ).
thf(914,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)],[321]) ).
thf(915,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)],[322]) ).
thf(916,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Osko__Message__Xanalz__insert__eq__I__1__1 @ V_H @ V_X ) @ ( c_Set_Oinsert @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[323]) ).
thf(917,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Osko__Message__Xanalz__insert__eq__I__1__1 @ V_H @ V_X ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[324]) ).
thf(918,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Osko__Message__Xparts__insert__eq__I__1__1 @ V_H @ V_X ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[325]) ).
thf(919,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Osko__Message__Xparts__insert__eq__I__1__1 @ V_H @ V_X ) @ ( c_Set_Oinsert @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[326]) ).
thf(920,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)],[327]) ).
thf(921,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)],[328]) ).
thf(922,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)],[329]) ).
thf(923,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)],[330]) ).
thf(924,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)],[331]) ).
thf(925,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)],[332]) ).
thf(926,plain,
( ( hBOOL @ ( c_in @ ( c_List_Olist_ONil @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ),
inference(unfold_def,[status(thm)],[333]) ).
thf(927,plain,
( ( ! [V_evs: $i] : ( c_lessequals @ ( c_Event_Oused @ ( c_List_Olist_ONil @ tc_Event_Oevent ) ) @ ( c_Event_Oused @ V_evs ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(unfold_def,[status(thm)],[334]) ).
thf(928,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)],[335]) ).
thf(929,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)],[336]) ).
thf(930,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)],[337]) ).
thf(931,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)],[338]) ).
thf(932,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)],[339]) ).
thf(933,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)],[340]) ).
thf(934,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)],[341]) ).
thf(935,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)],[342]) ).
thf(936,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)],[343]) ).
thf(937,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)],[344]) ).
thf(938,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)],[345]) ).
thf(939,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)],[346]) ).
thf(940,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)],[347]) ).
thf(941,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)],[348]) ).
thf(942,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)],[349]) ).
thf(943,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)],[350]) ).
thf(944,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)],[351]) ).
thf(945,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)],[352]) ).
thf(946,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)],[353]) ).
thf(947,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)],[354]) ).
thf(948,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)],[355]) ).
thf(949,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)],[356]) ).
thf(950,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)],[357]) ).
thf(951,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)],[358]) ).
thf(952,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)],[359]) ).
thf(953,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)],[360]) ).
thf(954,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)],[361]) ).
thf(955,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)],[362]) ).
thf(956,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)],[363]) ).
thf(957,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)],[364]) ).
thf(958,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)],[365]) ).
thf(959,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)],[366]) ).
thf(960,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i,V_zs: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_OCons @ V_y @ V_zs @ T_a ) @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_y @ V_zs @ T_a ) @ T_a )
| ~ ( c_lessequals @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[367]) ).
thf(961,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i,V_zs: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_lessequals @ V_x @ V_y @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_OCons @ V_y @ V_zs @ T_a ) @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[368]) ).
thf(962,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)],[369]) ).
thf(963,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)],[370]) ).
thf(964,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)],[371]) ).
thf(965,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)],[372]) ).
thf(966,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)],[373]) ).
thf(967,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( ( c_List_Oset @ V_xs @ T_a )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[374]) ).
thf(968,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)],[375]) ).
thf(969,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)],[376]) ).
thf(970,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)],[377]) ).
thf(971,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)],[378]) ).
thf(972,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)],[379]) ).
thf(973,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)],[380]) ).
thf(974,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)],[381]) ).
thf(975,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)],[382]) ).
thf(976,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)],[383]) ).
thf(977,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)],[384]) ).
thf(978,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)],[385]) ).
thf(979,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)],[386]) ).
thf(980,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)],[387]) ).
thf(981,plain,
( ( ! [V_A: $i] :
( ( c_Event_Oknows @ V_A @ ( c_List_Olist_ONil @ tc_Event_Oevent ) )
= ( c_Event_OinitState @ V_A ) ) )
= $true ),
inference(unfold_def,[status(thm)],[388]) ).
thf(982,plain,
( ( ! [T_a: $i] :
( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_List_Oset @ ( c_List_Olist_ONil @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[389]) ).
thf(983,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)],[390]) ).
thf(984,plain,
( ( ! [V_K: $i] :
( ( hAPP @ c_Message_OinvKey @ ( hAPP @ c_Message_OinvKey @ V_K ) )
= V_K ) )
= $true ),
inference(unfold_def,[status(thm)],[391]) ).
thf(985,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)],[392]) ).
thf(986,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)],[393]) ).
thf(987,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)],[394]) ).
thf(988,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)],[395]) ).
thf(989,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)],[396]) ).
thf(990,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)],[397]) ).
thf(991,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)],[398]) ).
thf(992,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)],[399]) ).
thf(993,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)],[400]) ).
thf(994,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)],[401]) ).
thf(995,plain,
( ( ! [T_a: $i,V_a_H: $i,V_list_H: $i] :
( ( c_List_Olist_ONil @ T_a )
!= ( c_List_Olist_OCons @ V_a_H @ V_list_H @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[402]) ).
thf(996,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)],[403]) ).
thf(997,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)],[404]) ).
thf(998,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)],[405]) ).
thf(999,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)],[406]) ).
thf(1000,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)],[407]) ).
thf(1001,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)],[408]) ).
thf(1002,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)],[409]) ).
thf(1003,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)],[410]) ).
thf(1004,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)],[411]) ).
thf(1005,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)],[412]) ).
thf(1006,plain,
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_ONil @ tc_Event_Oevent ) ) )
= $true ),
inference(unfold_def,[status(thm)],[413]) ).
thf(1007,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)],[414]) ).
thf(1008,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)],[415]) ).
thf(1009,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)],[416]) ).
thf(1010,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)],[417]) ).
thf(1011,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)],[418]) ).
thf(1012,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)],[419]) ).
thf(1013,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)],[420]) ).
thf(1014,plain,
( ( ! [T_a: $i,V_xs: $i] :
( ( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) )
!= ( c_List_Oset @ V_xs @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[421]) ).
thf(1015,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)],[422]) ).
thf(1016,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)],[423]) ).
thf(1017,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)],[424]) ).
thf(1018,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)],[425]) ).
thf(1019,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)],[426]) ).
thf(1020,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)],[427]) ).
thf(1021,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)],[428]) ).
thf(1022,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)],[429]) ).
thf(1023,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)],[430]) ).
thf(1024,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)],[431]) ).
thf(1025,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)],[432]) ).
thf(1026,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)],[433]) ).
thf(1027,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)],[434]) ).
thf(1028,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)],[435]) ).
thf(1029,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(1030,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)],[437]) ).
thf(1031,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)],[438]) ).
thf(1032,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)],[439]) ).
thf(1033,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)],[440]) ).
thf(1034,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)],[441]) ).
thf(1035,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)],[442]) ).
thf(1036,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)],[443]) ).
thf(1037,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)],[444]) ).
thf(1038,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)],[445]) ).
thf(1039,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)],[446]) ).
thf(1040,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)],[447]) ).
thf(1041,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)],[448]) ).
thf(1042,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)],[449]) ).
thf(1043,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)],[450]) ).
thf(1044,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)],[451]) ).
thf(1045,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)],[452]) ).
thf(1046,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)],[453]) ).
thf(1047,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)],[454]) ).
thf(1048,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)],[455]) ).
thf(1049,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)],[456]) ).
thf(1050,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)],[457]) ).
thf(1051,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)],[458]) ).
thf(1052,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)],[459]) ).
thf(1053,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)],[460]) ).
thf(1054,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)],[461]) ).
thf(1055,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)],[462]) ).
thf(1056,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)],[463]) ).
thf(1057,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[464]) ).
thf(1058,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)],[465]) ).
thf(1059,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)],[466]) ).
thf(1060,plain,
( ( ! [V_H: $i] :
( ( c_Message_Osynth @ ( c_Message_Osynth @ V_H ) )
= ( c_Message_Osynth @ V_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[467]) ).
thf(1061,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)],[468]) ).
thf(1062,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)],[469]) ).
thf(1063,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)],[470]) ).
thf(1064,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)],[471]) ).
thf(1065,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)],[472]) ).
thf(1066,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)],[473]) ).
thf(1067,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)],[474]) ).
thf(1068,plain,
( ( ! [T_a: $i,V_xs: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ V_xs @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[475]) ).
thf(1069,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)],[476]) ).
thf(1070,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)],[477]) ).
thf(1071,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)],[478]) ).
thf(1072,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)],[479]) ).
thf(1073,plain,
( ( ! [V_a_H: $i,V_list_H: $i,T_a: $i] :
( ( c_List_Olist_OCons @ V_a_H @ V_list_H @ T_a )
!= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[480]) ).
thf(1074,plain,
( ( ! [V_x: $i,V_xa: $i,T_a: $i] :
( ( c_List_Olist_OCons @ V_x @ V_xa @ T_a )
!= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[481]) ).
thf(1075,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)],[482]) ).
thf(1076,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)],[483]) ).
thf(1077,plain,
( ( ! [T_a: $i,V_y: $i,V_zs: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_y @ V_zs @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_OCons @ V_y @ V_zs @ T_a ) @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[484]) ).
thf(1078,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)],[485]) ).
thf(1079,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)],[486]) ).
thf(1080,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)],[487]) ).
thf(1081,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)],[488]) ).
thf(1082,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)],[489]) ).
thf(1083,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)],[490]) ).
thf(1084,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)],[491]) ).
thf(1085,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)],[492]) ).
thf(1086,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)],[493]) ).
thf(1087,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)],[494]) ).
thf(1088,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)],[495]) ).
thf(1089,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)],[496]) ).
thf(1090,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)],[497]) ).
thf(1091,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)],[498]) ).
thf(1092,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)],[499]) ).
thf(1093,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)],[500]) ).
thf(1094,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)],[501]) ).
thf(1095,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)],[502]) ).
thf(1096,plain,
( ( ! [T_a: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_ONil @ T_a ) @ T_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[503]) ).
thf(1097,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)],[504]) ).
thf(1098,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)],[505]) ).
thf(1099,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)],[506]) ).
thf(1100,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)],[507]) ).
thf(1101,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)],[508]) ).
thf(1102,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)],[509]) ).
thf(1103,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)],[510]) ).
thf(1104,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)],[511]) ).
thf(1105,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)],[512]) ).
thf(1106,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)],[513]) ).
thf(1107,plain,
( ( ! [T_a: $i] :
( ( c_List_Oset @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[514]) ).
thf(1108,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)],[515]) ).
thf(1109,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)],[516]) ).
thf(1110,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)],[517]) ).
thf(1111,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)],[518]) ).
thf(1112,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)],[519]) ).
thf(1113,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)],[520]) ).
thf(1114,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)],[521]) ).
thf(1115,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)],[522]) ).
thf(1116,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)],[523]) ).
thf(1117,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)],[524]) ).
thf(1118,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)],[525]) ).
thf(1119,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)],[526]) ).
thf(1120,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)],[527]) ).
thf(1121,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)],[528]) ).
thf(1122,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)],[529]) ).
thf(1123,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)],[530]) ).
thf(1124,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)],[531]) ).
thf(1125,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)],[532]) ).
thf(1126,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)],[533]) ).
thf(1127,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)],[534]) ).
thf(1128,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)],[535]) ).
thf(1129,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)],[536]) ).
thf(1130,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)],[537]) ).
thf(1131,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)],[538]) ).
thf(1132,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)],[539]) ).
thf(1133,plain,
( ( c_Public_Okeymode_OEncryption != c_Public_Okeymode_OSignature )
= $true ),
inference(unfold_def,[status(thm)],[540]) ).
thf(1134,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)],[541]) ).
thf(1135,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)],[542]) ).
thf(1136,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)],[543]) ).
thf(1137,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)],[544]) ).
thf(1138,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)],[545]) ).
thf(1139,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)],[546]) ).
thf(1140,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)],[547]) ).
thf(1141,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)],[548]) ).
thf(1142,plain,
( ( c_Public_Okeymode_OSignature != c_Public_Okeymode_OEncryption )
= $true ),
inference(unfold_def,[status(thm)],[549]) ).
thf(1143,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)],[550]) ).
thf(1144,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)],[551]) ).
thf(1145,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)],[552]) ).
thf(1146,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)],[553]) ).
thf(1147,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)],[554]) ).
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(unfold_def,[status(thm)],[555]) ).
thf(1149,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)],[556]) ).
thf(1150,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)],[557]) ).
thf(1151,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)],[558]) ).
thf(1152,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)],[559]) ).
thf(1153,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)],[560]) ).
thf(1154,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)],[561]) ).
thf(1155,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)],[562]) ).
thf(1156,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)],[563]) ).
thf(1157,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)],[564]) ).
thf(1158,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)],[565]) ).
thf(1159,plain,
( ( ! [V_nat_H: $i] :
( ( c_Message_Oagent_OFriend @ V_nat_H )
!= c_Message_Oagent_OServer ) )
= $true ),
inference(unfold_def,[status(thm)],[566]) ).
thf(1160,plain,
( ( ! [V_nat_H: $i] :
( c_Message_Oagent_OServer
!= ( c_Message_Oagent_OFriend @ V_nat_H ) ) )
= $true ),
inference(unfold_def,[status(thm)],[567]) ).
thf(1161,plain,
( ( ! [V_nat: $i] :
( c_Message_Oagent_OSpy
!= ( c_Message_Oagent_OFriend @ V_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[568]) ).
thf(1162,plain,
( ( ! [V_nat: $i] :
( ( c_Message_Oagent_OFriend @ V_nat )
!= c_Message_Oagent_OSpy ) )
= $true ),
inference(unfold_def,[status(thm)],[569]) ).
thf(1163,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)],[570]) ).
thf(1164,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)],[571]) ).
thf(1165,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)],[572]) ).
thf(1166,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)],[573]) ).
thf(1167,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)],[574]) ).
thf(1168,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)],[575]) ).
thf(1169,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)],[576]) ).
thf(1170,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)],[577]) ).
thf(1171,plain,
( ( ( 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_evs2 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ v_K @ ( c_Message_Omsg_ONonce @ v_NB ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2 ) ) @ 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 @ ( c_Message_Omsg_OAgent @ v_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ v_X ) ) ) ) ) @ ( c_List_Oset @ v_evs2 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(unfold_def,[status(thm)],[580]) ).
thf(1172,plain,
( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ v_Ba @ v_Aa @ ( c_Message_Omsg_OCrypt @ v_KAB @ ( c_Message_Omsg_ONonce @ v_NB ) ) ) @ ( c_List_Oset @ v_evs2 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(unfold_def,[status(thm)],[581]) ).
thf(1173,plain,
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ v_KAB @ ( c_Message_Omsg_ONonce @ v_NB ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2 ) ) @ tc_Message_Omsg ) )
= $true ),
inference(unfold_def,[status(thm)],[582]) ).
thf(1174,plain,
( ( v_X
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ v_Ba ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ v_KAB ) @ ( c_Message_Omsg_OAgent @ v_Aa ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[583]) ).
thf(1175,plain,
( ( v_K = v_KAB )
= $true ),
inference(unfold_def,[status(thm)],[584]) ).
thf(1176,plain,
( ( v_B = v_Ba )
= $true ),
inference(unfold_def,[status(thm)],[585]) ).
thf(1177,plain,
( ( v_NA
= ( c_Message_Omsg_ONonce @ v_NAa ) )
= $true ),
inference(unfold_def,[status(thm)],[586]) ).
thf(1178,plain,
( ( v_A = v_Aa )
= $true ),
inference(unfold_def,[status(thm)],[587]) ).
thf(1179,plain,
( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[588]) ).
thf(1180,plain,
( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ v_A_H @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_Aa ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_Ba ) @ ( c_Message_Omsg_ONonce @ v_NAa ) ) ) ) @ ( c_List_Oset @ v_evs2 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ),
inference(unfold_def,[status(thm)],[589]) ).
thf(1181,plain,
( ( hBOOL @ ( c_in @ v_KAB @ c_Message_OsymKeys @ tc_nat ) )
= $true ),
inference(unfold_def,[status(thm)],[590]) ).
thf(1182,plain,
( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ v_KAB ) @ ( c_Event_Oused @ v_evs2 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(unfold_def,[status(thm)],[591]) ).
thf(1183,plain,
( ( hBOOL @ ( c_in @ v_evs2 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ),
inference(unfold_def,[status(thm)],[592]) ).
thf(1184,plain,
( ( ~ $false ) = $true ),
inference(polarity_switch,[status(thm)],[593]) ).
thf(1185,plain,
( ( hBOOL @ ( c_in @ v_evs2 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ),
inference(copy,[status(thm)],[1183]) ).
thf(1186,plain,
( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ v_KAB ) @ ( c_Event_Oused @ v_evs2 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[1182]) ).
thf(1187,plain,
( ( hBOOL @ ( c_in @ v_KAB @ c_Message_OsymKeys @ tc_nat ) )
= $true ),
inference(copy,[status(thm)],[1181]) ).
thf(1188,plain,
( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ v_A_H @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_Aa ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ v_Ba ) @ ( c_Message_Omsg_ONonce @ v_NAa ) ) ) ) @ ( c_List_Oset @ v_evs2 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ),
inference(copy,[status(thm)],[1180]) ).
thf(1189,plain,
( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[1179]) ).
thf(1190,plain,
( ( v_A = v_Aa )
= $true ),
inference(copy,[status(thm)],[1178]) ).
thf(1191,plain,
( ( v_NA
= ( c_Message_Omsg_ONonce @ v_NAa ) )
= $true ),
inference(copy,[status(thm)],[1177]) ).
thf(1192,plain,
( ( v_B = v_Ba )
= $true ),
inference(copy,[status(thm)],[1176]) ).
thf(1193,plain,
( ( v_K = v_KAB )
= $true ),
inference(copy,[status(thm)],[1175]) ).
thf(1194,plain,
( ( v_X
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ v_Ba ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ v_KAB ) @ ( c_Message_Omsg_OAgent @ v_Aa ) ) ) )
= $true ),
inference(copy,[status(thm)],[1174]) ).
thf(1195,plain,
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ v_KAB @ ( c_Message_Omsg_ONonce @ v_NB ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2 ) ) @ tc_Message_Omsg ) )
= $true ),
inference(copy,[status(thm)],[1173]) ).
thf(1196,plain,
( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ v_Ba @ v_Aa @ ( c_Message_Omsg_OCrypt @ v_KAB @ ( c_Message_Omsg_ONonce @ v_NB ) ) ) @ ( c_List_Oset @ v_evs2 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(copy,[status(thm)],[1172]) ).
thf(1197,plain,
( ( ( 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_evs2 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ v_K @ ( c_Message_Omsg_ONonce @ v_NB ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2 ) ) @ 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 @ ( c_Message_Omsg_OAgent @ v_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ v_X ) ) ) ) ) @ ( c_List_Oset @ v_evs2 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(copy,[status(thm)],[1171]) ).
thf(1198,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)],[1170]) ).
thf(1199,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)],[1169]) ).
thf(1200,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)],[1168]) ).
thf(1201,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)],[1167]) ).
thf(1202,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)],[1166]) ).
thf(1203,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)],[1165]) ).
thf(1204,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)],[1164]) ).
thf(1205,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)],[1163]) ).
thf(1206,plain,
( ( ! [V_nat: $i] :
( ( c_Message_Oagent_OFriend @ V_nat )
!= c_Message_Oagent_OSpy ) )
= $true ),
inference(copy,[status(thm)],[1162]) ).
thf(1207,plain,
( ( ! [V_nat: $i] :
( c_Message_Oagent_OSpy
!= ( c_Message_Oagent_OFriend @ V_nat ) ) )
= $true ),
inference(copy,[status(thm)],[1161]) ).
thf(1208,plain,
( ( ! [V_nat_H: $i] :
( c_Message_Oagent_OServer
!= ( c_Message_Oagent_OFriend @ V_nat_H ) ) )
= $true ),
inference(copy,[status(thm)],[1160]) ).
thf(1209,plain,
( ( ! [V_nat_H: $i] :
( ( c_Message_Oagent_OFriend @ V_nat_H )
!= c_Message_Oagent_OServer ) )
= $true ),
inference(copy,[status(thm)],[1159]) ).
thf(1210,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)],[1158]) ).
thf(1211,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)],[1157]) ).
thf(1212,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)],[1156]) ).
thf(1213,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)],[1155]) ).
thf(1214,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)],[1154]) ).
thf(1215,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)],[1153]) ).
thf(1216,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)],[1152]) ).
thf(1217,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)],[1151]) ).
thf(1218,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)],[1150]) ).
thf(1219,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)],[1149]) ).
thf(1220,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)],[1148]) ).
thf(1221,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)],[1147]) ).
thf(1222,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)],[1146]) ).
thf(1223,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)],[1145]) ).
thf(1224,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)],[1144]) ).
thf(1225,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)],[1143]) ).
thf(1226,plain,
( ( c_Public_Okeymode_OSignature != c_Public_Okeymode_OEncryption )
= $true ),
inference(copy,[status(thm)],[1142]) ).
thf(1227,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)],[1141]) ).
thf(1228,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)],[1140]) ).
thf(1229,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)],[1139]) ).
thf(1230,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)],[1138]) ).
thf(1231,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)],[1137]) ).
thf(1232,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)],[1136]) ).
thf(1233,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)],[1135]) ).
thf(1234,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)],[1134]) ).
thf(1235,plain,
( ( c_Public_Okeymode_OEncryption != c_Public_Okeymode_OSignature )
= $true ),
inference(copy,[status(thm)],[1133]) ).
thf(1236,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)],[1132]) ).
thf(1237,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)],[1131]) ).
thf(1238,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)],[1130]) ).
thf(1239,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)],[1129]) ).
thf(1240,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)],[1128]) ).
thf(1241,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)],[1127]) ).
thf(1242,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)],[1126]) ).
thf(1243,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)],[1125]) ).
thf(1244,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)],[1124]) ).
thf(1245,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)],[1123]) ).
thf(1246,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)],[1122]) ).
thf(1247,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)],[1121]) ).
thf(1248,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)],[1120]) ).
thf(1249,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)],[1119]) ).
thf(1250,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)],[1118]) ).
thf(1251,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)],[1117]) ).
thf(1252,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)],[1116]) ).
thf(1253,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)],[1115]) ).
thf(1254,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)],[1114]) ).
thf(1255,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)],[1113]) ).
thf(1256,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)],[1112]) ).
thf(1257,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)],[1111]) ).
thf(1258,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)],[1110]) ).
thf(1259,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)],[1109]) ).
thf(1260,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)],[1108]) ).
thf(1261,plain,
( ( ! [T_a: $i] :
( ( c_List_Oset @ ( c_List_Olist_ONil @ T_a ) @ T_a )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) ) )
= $true ),
inference(copy,[status(thm)],[1107]) ).
thf(1262,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)],[1106]) ).
thf(1263,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)],[1105]) ).
thf(1264,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)],[1104]) ).
thf(1265,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)],[1103]) ).
thf(1266,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)],[1102]) ).
thf(1267,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)],[1101]) ).
thf(1268,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)],[1100]) ).
thf(1269,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)],[1099]) ).
thf(1270,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)],[1098]) ).
thf(1271,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)],[1097]) ).
thf(1272,plain,
( ( ! [T_a: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_ONil @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1096]) ).
thf(1273,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)],[1095]) ).
thf(1274,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)],[1094]) ).
thf(1275,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)],[1093]) ).
thf(1276,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)],[1092]) ).
thf(1277,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)],[1091]) ).
thf(1278,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)],[1090]) ).
thf(1279,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)],[1089]) ).
thf(1280,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)],[1088]) ).
thf(1281,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)],[1087]) ).
thf(1282,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)],[1086]) ).
thf(1283,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)],[1085]) ).
thf(1284,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)],[1084]) ).
thf(1285,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)],[1083]) ).
thf(1286,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)],[1082]) ).
thf(1287,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)],[1081]) ).
thf(1288,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)],[1080]) ).
thf(1289,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)],[1079]) ).
thf(1290,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)],[1078]) ).
thf(1291,plain,
( ( ! [T_a: $i,V_y: $i,V_zs: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_y @ V_zs @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_OCons @ V_y @ V_zs @ T_a ) @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1077]) ).
thf(1292,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)],[1076]) ).
thf(1293,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)],[1075]) ).
thf(1294,plain,
( ( ! [V_x: $i,V_xa: $i,T_a: $i] :
( ( c_List_Olist_OCons @ V_x @ V_xa @ T_a )
!= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1074]) ).
thf(1295,plain,
( ( ! [V_a_H: $i,V_list_H: $i,T_a: $i] :
( ( c_List_Olist_OCons @ V_a_H @ V_list_H @ T_a )
!= ( c_List_Olist_ONil @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1073]) ).
thf(1296,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)],[1072]) ).
thf(1297,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)],[1071]) ).
thf(1298,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)],[1070]) ).
thf(1299,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)],[1069]) ).
thf(1300,plain,
( ( ! [T_a: $i,V_xs: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ V_xs @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1068]) ).
thf(1301,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)],[1067]) ).
thf(1302,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)],[1066]) ).
thf(1303,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)],[1065]) ).
thf(1304,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)],[1064]) ).
thf(1305,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)],[1063]) ).
thf(1306,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)],[1062]) ).
thf(1307,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)],[1061]) ).
thf(1308,plain,
( ( ! [V_H: $i] :
( ( c_Message_Osynth @ ( c_Message_Osynth @ V_H ) )
= ( c_Message_Osynth @ V_H ) ) )
= $true ),
inference(copy,[status(thm)],[1060]) ).
thf(1309,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)],[1059]) ).
thf(1310,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)],[1058]) ).
thf(1311,plain,
( ( ! [T_a: $i,V_x: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_ONil @ T_a ) @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[1057]) ).
thf(1312,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)],[1056]) ).
thf(1313,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)],[1055]) ).
thf(1314,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)],[1054]) ).
thf(1315,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)],[1053]) ).
thf(1316,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)],[1052]) ).
thf(1317,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)],[1051]) ).
thf(1318,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)],[1050]) ).
thf(1319,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)],[1049]) ).
thf(1320,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)],[1048]) ).
thf(1321,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)],[1047]) ).
thf(1322,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)],[1046]) ).
thf(1323,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)],[1045]) ).
thf(1324,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)],[1044]) ).
thf(1325,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)],[1043]) ).
thf(1326,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)],[1042]) ).
thf(1327,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)],[1041]) ).
thf(1328,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)],[1040]) ).
thf(1329,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)],[1039]) ).
thf(1330,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)],[1038]) ).
thf(1331,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)],[1037]) ).
thf(1332,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)],[1036]) ).
thf(1333,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)],[1035]) ).
thf(1334,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)],[1034]) ).
thf(1335,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)],[1033]) ).
thf(1336,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)],[1032]) ).
thf(1337,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)],[1031]) ).
thf(1338,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)],[1030]) ).
thf(1339,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)],[1029]) ).
thf(1340,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)],[1028]) ).
thf(1341,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)],[1027]) ).
thf(1342,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)],[1026]) ).
thf(1343,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)],[1025]) ).
thf(1344,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)],[1024]) ).
thf(1345,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)],[1023]) ).
thf(1346,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)],[1022]) ).
thf(1347,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)],[1021]) ).
thf(1348,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)],[1020]) ).
thf(1349,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)],[1019]) ).
thf(1350,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)],[1018]) ).
thf(1351,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)],[1017]) ).
thf(1352,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)],[1016]) ).
thf(1353,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)],[1015]) ).
thf(1354,plain,
( ( ! [T_a: $i,V_xs: $i] :
( ( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) )
!= ( c_List_Oset @ V_xs @ T_a ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[1014]) ).
thf(1355,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)],[1013]) ).
thf(1356,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)],[1012]) ).
thf(1357,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)],[1011]) ).
thf(1358,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)],[1010]) ).
thf(1359,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)],[1009]) ).
thf(1360,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)],[1008]) ).
thf(1361,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)],[1007]) ).
thf(1362,plain,
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_ONil @ tc_Event_Oevent ) ) )
= $true ),
inference(copy,[status(thm)],[1006]) ).
thf(1363,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)],[1005]) ).
thf(1364,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)],[1004]) ).
thf(1365,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)],[1003]) ).
thf(1366,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)],[1002]) ).
thf(1367,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)],[1001]) ).
thf(1368,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)],[1000]) ).
thf(1369,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)],[999]) ).
thf(1370,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)],[998]) ).
thf(1371,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)],[997]) ).
thf(1372,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)],[996]) ).
thf(1373,plain,
( ( ! [T_a: $i,V_a_H: $i,V_list_H: $i] :
( ( c_List_Olist_ONil @ T_a )
!= ( c_List_Olist_OCons @ V_a_H @ V_list_H @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[995]) ).
thf(1374,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)],[994]) ).
thf(1375,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)],[993]) ).
thf(1376,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)],[992]) ).
thf(1377,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)],[991]) ).
thf(1378,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)],[990]) ).
thf(1379,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)],[989]) ).
thf(1380,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)],[988]) ).
thf(1381,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)],[987]) ).
thf(1382,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)],[986]) ).
thf(1383,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)],[985]) ).
thf(1384,plain,
( ( ! [V_K: $i] :
( ( hAPP @ c_Message_OinvKey @ ( hAPP @ c_Message_OinvKey @ V_K ) )
= V_K ) )
= $true ),
inference(copy,[status(thm)],[984]) ).
thf(1385,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)],[983]) ).
thf(1386,plain,
( ( ! [T_a: $i] :
( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) )
= ( c_List_Oset @ ( c_List_Olist_ONil @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[982]) ).
thf(1387,plain,
( ( ! [V_A: $i] :
( ( c_Event_Oknows @ V_A @ ( c_List_Olist_ONil @ tc_Event_Oevent ) )
= ( c_Event_OinitState @ V_A ) ) )
= $true ),
inference(copy,[status(thm)],[981]) ).
thf(1388,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)],[980]) ).
thf(1389,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)],[979]) ).
thf(1390,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)],[978]) ).
thf(1391,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)],[977]) ).
thf(1392,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)],[976]) ).
thf(1393,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)],[975]) ).
thf(1394,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)],[974]) ).
thf(1395,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)],[973]) ).
thf(1396,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)],[972]) ).
thf(1397,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)],[971]) ).
thf(1398,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)],[970]) ).
thf(1399,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)],[969]) ).
thf(1400,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)],[968]) ).
thf(1401,plain,
( ( ! [V_xs: $i,T_a: $i] :
( ( ( c_List_Oset @ V_xs @ T_a )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ T_a @ tc_bool ) ) )
| ( V_xs
= ( c_List_Olist_ONil @ T_a ) ) ) )
= $true ),
inference(copy,[status(thm)],[967]) ).
thf(1402,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)],[966]) ).
thf(1403,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)],[965]) ).
thf(1404,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)],[964]) ).
thf(1405,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)],[963]) ).
thf(1406,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)],[962]) ).
thf(1407,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i,V_zs: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_lessequals @ V_x @ V_y @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_OCons @ V_y @ V_zs @ T_a ) @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[961]) ).
thf(1408,plain,
( ( ! [T_a: $i,V_x: $i,V_y: $i,V_zs: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_x @ ( c_List_Olist_OCons @ V_y @ V_zs @ T_a ) @ T_a ) @ T_a )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_y @ V_zs @ T_a ) @ T_a )
| ~ ( c_lessequals @ V_x @ V_y @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[960]) ).
thf(1409,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)],[959]) ).
thf(1410,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)],[958]) ).
thf(1411,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)],[957]) ).
thf(1412,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)],[956]) ).
thf(1413,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)],[955]) ).
thf(1414,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)],[954]) ).
thf(1415,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)],[953]) ).
thf(1416,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)],[952]) ).
thf(1417,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)],[951]) ).
thf(1418,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)],[950]) ).
thf(1419,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)],[949]) ).
thf(1420,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)],[948]) ).
thf(1421,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)],[947]) ).
thf(1422,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)],[946]) ).
thf(1423,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)],[945]) ).
thf(1424,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)],[944]) ).
thf(1425,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)],[943]) ).
thf(1426,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)],[942]) ).
thf(1427,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)],[941]) ).
thf(1428,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)],[940]) ).
thf(1429,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)],[939]) ).
thf(1430,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)],[938]) ).
thf(1431,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)],[937]) ).
thf(1432,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)],[936]) ).
thf(1433,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)],[935]) ).
thf(1434,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)],[934]) ).
thf(1435,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)],[933]) ).
thf(1436,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)],[932]) ).
thf(1437,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)],[931]) ).
thf(1438,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)],[930]) ).
thf(1439,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)],[929]) ).
thf(1440,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)],[928]) ).
thf(1441,plain,
( ( ! [V_evs: $i] : ( c_lessequals @ ( c_Event_Oused @ ( c_List_Olist_ONil @ tc_Event_Oevent ) ) @ ( c_Event_Oused @ V_evs ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[927]) ).
thf(1442,plain,
( ( hBOOL @ ( c_in @ ( c_List_Olist_ONil @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ),
inference(copy,[status(thm)],[926]) ).
thf(1443,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)],[925]) ).
thf(1444,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)],[924]) ).
thf(1445,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)],[923]) ).
thf(1446,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)],[922]) ).
thf(1447,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)],[921]) ).
thf(1448,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)],[920]) ).
thf(1449,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Osko__Message__Xparts__insert__eq__I__1__1 @ V_H @ V_X ) @ ( c_Set_Oinsert @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[919]) ).
thf(1450,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ V_X @ ( c_Message_Oparts @ V_H ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Osko__Message__Xparts__insert__eq__I__1__1 @ V_H @ V_X ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[918]) ).
thf(1451,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Osko__Message__Xanalz__insert__eq__I__1__1 @ V_H @ V_X ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[917]) ).
thf(1452,plain,
( ( ! [V_X: $i,V_H: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ V_X @ V_H @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Osko__Message__Xanalz__insert__eq__I__1__1 @ V_H @ V_X ) @ ( c_Set_Oinsert @ V_X @ ( c_Message_Oanalz @ V_H ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[916]) ).
thf(1453,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)],[915]) ).
thf(1454,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)],[914]) ).
thf(1455,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)],[913]) ).
thf(1456,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)],[912]) ).
thf(1457,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)],[911]) ).
thf(1458,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)],[910]) ).
thf(1459,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)],[909]) ).
thf(1460,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)],[908]) ).
thf(1461,plain,
( ( ! [V_K: $i,V_X: $i] :
~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ V_K @ V_X ) @ ( c_Event_Oused @ ( c_List_Olist_ONil @ tc_Event_Oevent ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[907]) ).
thf(1462,plain,
( ( ! [V_evs: $i] :
~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ ( c_Public_Osko__Public__XNonce__supply1__1__1 @ V_evs ) ) @ ( c_Event_Oused @ V_evs ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[906]) ).
thf(1463,plain,
( ( ! [V_N: $i] :
~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ V_N ) @ ( c_Event_Oused @ ( c_List_Olist_ONil @ tc_Event_Oevent ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(copy,[status(thm)],[905]) ).
thf(1464,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)],[904]) ).
thf(1465,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)],[903]) ).
thf(1466,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)],[902]) ).
thf(1467,plain,
( ( ! [T_a: $i,V_x: $i,V_xa: $i,V_xs: $i] :
( ~ ( class_Orderings_Olinorder @ T_a )
| ( c_lessequals @ V_x @ V_xa @ T_a )
| ~ ( hBOOL @ ( c_in @ V_xa @ ( c_List_Oset @ V_xs @ T_a ) @ T_a ) )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ V_x @ V_xs @ T_a ) @ T_a ) ) )
= $true ),
inference(copy,[status(thm)],[901]) ).
thf(1468,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)],[900]) ).
thf(1469,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)],[899]) ).
thf(1470,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)],[898]) ).
thf(1471,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)],[897]) ).
thf(1472,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)],[896]) ).
thf(1473,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)],[895]) ).
thf(1474,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)],[894]) ).
thf(1475,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)],[893]) ).
thf(1476,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)],[892]) ).
thf(1477,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)],[891]) ).
thf(1478,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)],[890]) ).
thf(1479,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)],[889]) ).
thf(1480,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)],[888]) ).
thf(1481,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)],[887]) ).
thf(1482,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)],[886]) ).
thf(1483,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)],[885]) ).
thf(1484,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)],[884]) ).
thf(1485,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)],[883]) ).
thf(1486,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)],[882]) ).
thf(1487,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)],[881]) ).
thf(1488,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)],[880]) ).
thf(1489,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)],[879]) ).
thf(1490,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)],[878]) ).
thf(1491,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)],[877]) ).
thf(1492,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)],[876]) ).
thf(1493,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)],[875]) ).
thf(1494,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)],[874]) ).
thf(1495,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)],[873]) ).
thf(1496,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)],[872]) ).
thf(1497,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)],[871]) ).
thf(1498,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)],[870]) ).
thf(1499,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)],[869]) ).
thf(1500,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)],[868]) ).
thf(1501,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)],[867]) ).
thf(1502,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)],[866]) ).
thf(1503,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)],[865]) ).
thf(1504,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)],[864]) ).
thf(1505,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)],[863]) ).
thf(1506,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)],[862]) ).
thf(1507,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)],[861]) ).
thf(1508,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)],[860]) ).
thf(1509,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)],[859]) ).
thf(1510,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)],[858]) ).
thf(1511,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)],[857]) ).
thf(1512,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)],[856]) ).
thf(1513,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)],[855]) ).
thf(1514,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)],[854]) ).
thf(1515,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)],[853]) ).
thf(1516,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)],[852]) ).
thf(1517,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)],[851]) ).
thf(1518,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)],[850]) ).
thf(1519,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)],[849]) ).
thf(1520,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)],[848]) ).
thf(1521,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)],[847]) ).
thf(1522,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)],[846]) ).
thf(1523,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)],[845]) ).
thf(1524,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)],[844]) ).
thf(1525,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)],[843]) ).
thf(1526,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)],[842]) ).
thf(1527,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)],[841]) ).
thf(1528,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)],[840]) ).
thf(1529,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)],[839]) ).
thf(1530,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)],[838]) ).
thf(1531,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)],[837]) ).
thf(1532,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)],[836]) ).
thf(1533,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)],[835]) ).
thf(1534,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)],[834]) ).
thf(1535,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)],[833]) ).
thf(1536,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)],[832]) ).
thf(1537,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)],[831]) ).
thf(1538,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)],[830]) ).
thf(1539,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)],[829]) ).
thf(1540,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)],[828]) ).
thf(1541,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)],[827]) ).
thf(1542,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)],[826]) ).
thf(1543,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)],[825]) ).
thf(1544,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)],[824]) ).
thf(1545,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)],[823]) ).
thf(1546,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)],[822]) ).
thf(1547,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)],[821]) ).
thf(1548,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)],[820]) ).
thf(1549,plain,
( ( ! [V_K: $i,V_evs: $i,V_B: $i,V_A: $i,V_NA: $i,V_K_H: $i,V_X: $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_evs @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ V_B @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1 @ V_K @ V_NA @ V_evs ) @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) ) ) ) @ ( 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 @ V_K_H @ ( 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)],[819]) ).
thf(1550,plain,
( ( ! [V_K: $i,V_evs: $i,V_NA: $i,V_B: $i,V_A: $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 @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ V_NA @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1 @ V_K @ V_NA @ V_evs ) @ ( hAPP @ c_Message_Omsg_OKey @ V_K ) ) ) ) @ ( 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_B @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ V_A @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( 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_evs @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(copy,[status(thm)],[818]) ).
thf(1551,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)],[817]) ).
thf(1552,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)],[816]) ).
thf(1553,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)],[815]) ).
thf(1554,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)],[814]) ).
thf(1555,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)],[813]) ).
thf(1556,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)],[812]) ).
thf(1557,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)],[811]) ).
thf(1558,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)],[810]) ).
thf(1559,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)],[809]) ).
thf(1560,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)],[808]) ).
thf(1561,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)],[807]) ).
thf(1562,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)],[806]) ).
thf(1563,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)],[805]) ).
thf(1564,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)],[804]) ).
thf(1565,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)],[803]) ).
thf(1566,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)],[802]) ).
thf(1567,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)],[801]) ).
thf(1568,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)],[800]) ).
thf(1569,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)],[799]) ).
thf(1570,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)],[798]) ).
thf(1571,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)],[797]) ).
thf(1572,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)],[796]) ).
thf(1573,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)],[795]) ).
thf(1574,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)],[794]) ).
thf(1575,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)],[793]) ).
thf(1576,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)],[792]) ).
thf(1577,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)],[791]) ).
thf(1578,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)],[790]) ).
thf(1579,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)],[789]) ).
thf(1580,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)],[788]) ).
thf(1581,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)],[787]) ).
thf(1582,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)],[786]) ).
thf(1583,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)],[785]) ).
thf(1584,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)],[784]) ).
thf(1585,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)],[783]) ).
thf(1586,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)],[782]) ).
thf(1587,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)],[781]) ).
thf(1588,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)],[780]) ).
thf(1589,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)],[779]) ).
thf(1590,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)],[778]) ).
thf(1591,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)],[777]) ).
thf(1592,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)],[776]) ).
thf(1593,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)],[775]) ).
thf(1594,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)],[774]) ).
thf(1595,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)],[773]) ).
thf(1596,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)],[772]) ).
thf(1597,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)],[771]) ).
thf(1598,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)],[770]) ).
thf(1599,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)],[769]) ).
thf(1600,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)],[768]) ).
thf(1601,plain,
( ( ~ ( hBOOL @ ( c_in @ c_Message_Oagent_OServer @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true ),
inference(copy,[status(thm)],[767]) ).
thf(1602,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)],[766]) ).
thf(1603,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)],[765]) ).
thf(1604,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)],[764]) ).
thf(1605,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)],[763]) ).
thf(1606,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)],[762]) ).
thf(1607,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)],[761]) ).
thf(1608,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)],[760]) ).
thf(1609,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)],[759]) ).
thf(1610,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)],[758]) ).
thf(1611,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)],[757]) ).
thf(1612,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)],[756]) ).
thf(1613,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)],[755]) ).
thf(1614,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)],[754]) ).
thf(1615,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)],[753]) ).
thf(1616,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)],[752]) ).
thf(1617,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)],[751]) ).
thf(1618,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)],[750]) ).
thf(1619,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)],[749]) ).
thf(1620,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)],[748]) ).
thf(1621,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)],[747]) ).
thf(1622,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)],[746]) ).
thf(1623,plain,
( ( hBOOL @ ( c_in @ c_Message_Oagent_OSpy @ c_Event_Obad @ tc_Message_Oagent ) )
= $true ),
inference(copy,[status(thm)],[745]) ).
thf(1624,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)],[744]) ).
thf(1625,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)],[743]) ).
thf(1626,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)],[742]) ).
thf(1627,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)],[741]) ).
thf(1628,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)],[740]) ).
thf(1629,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)],[739]) ).
thf(1630,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)],[738]) ).
thf(1631,plain,
( ( ! [V_x: $i,T_a: $i] : ( c_lessequals @ V_x @ V_x @ ( tc_fun @ T_a @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[737]) ).
thf(1632,plain,
( ( ! [V_A: $i,T_a: $i] : ( c_lessequals @ V_A @ V_A @ ( tc_fun @ T_a @ tc_bool ) ) )
= $true ),
inference(copy,[status(thm)],[736]) ).
thf(1633,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)],[735]) ).
thf(1634,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)],[734]) ).
thf(1635,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)],[733]) ).
thf(1636,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)],[732]) ).
thf(1637,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)],[731]) ).
thf(1638,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)],[730]) ).
thf(1639,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)],[729]) ).
thf(1640,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)],[728]) ).
thf(1641,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)],[727]) ).
thf(1642,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)],[726]) ).
thf(1643,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)],[725]) ).
thf(1644,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)],[724]) ).
thf(1645,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)],[723]) ).
thf(1646,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)],[722]) ).
thf(1647,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)],[721]) ).
thf(1648,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)],[720]) ).
thf(1649,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)],[719]) ).
thf(1650,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)],[718]) ).
thf(1651,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)],[717]) ).
thf(1652,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)],[716]) ).
thf(1653,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)],[715]) ).
thf(1654,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)],[714]) ).
thf(1655,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)],[713]) ).
thf(1656,plain,
( ( ! [V_A: $i,V_B: $i,V_K: $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_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1 @ V_A @ V_B @ V_K @ V_evs ) @ ( 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_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_B @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( 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_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ V_evs ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(copy,[status(thm)],[712]) ).
thf(1657,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)],[711]) ).
thf(1658,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)],[710]) ).
thf(1659,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)],[709]) ).
thf(1660,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)],[708]) ).
thf(1661,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)],[707]) ).
thf(1662,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)],[706]) ).
thf(1663,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)],[705]) ).
thf(1664,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)],[704]) ).
thf(1665,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)],[703]) ).
thf(1666,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)],[702]) ).
thf(1667,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)],[701]) ).
thf(1668,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)],[700]) ).
thf(1669,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)],[699]) ).
thf(1670,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)],[698]) ).
thf(1671,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)],[697]) ).
thf(1672,plain,
( ( ! [V_X: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ V_X ) @ c_Message_OsymKeys @ tc_nat ) ) )
= $true ),
inference(copy,[status(thm)],[696]) ).
thf(1673,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)],[695]) ).
thf(1674,plain,
( ( ! [V_H: $i] :
( ( c_Message_Oparts @ ( c_Message_Oanalz @ V_H ) )
= ( c_Message_Oparts @ V_H ) ) )
= $true ),
inference(copy,[status(thm)],[694]) ).
thf(1675,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)],[693]) ).
thf(1676,plain,
( ( ! [V_H: $i] :
( ( c_Message_Oanalz @ ( c_Message_Oanalz @ V_H ) )
= ( c_Message_Oanalz @ V_H ) ) )
= $true ),
inference(copy,[status(thm)],[692]) ).
thf(1677,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)],[691]) ).
thf(1678,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)],[690]) ).
thf(1679,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)],[689]) ).
thf(1680,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)],[688]) ).
thf(1681,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)],[687]) ).
thf(1682,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)],[686]) ).
thf(1683,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)],[685]) ).
thf(1684,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)],[684]) ).
thf(1685,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)],[683]) ).
thf(1686,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)],[682]) ).
thf(1687,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)],[681]) ).
thf(1688,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)],[680]) ).
thf(1689,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)],[679]) ).
thf(1690,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)],[678]) ).
thf(1691,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)],[677]) ).
thf(1692,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)],[676]) ).
thf(1693,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)],[675]) ).
thf(1694,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)],[674]) ).
thf(1695,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)],[673]) ).
thf(1696,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)],[672]) ).
thf(1697,plain,
( ( ! [V_H: $i] :
( ( c_Message_Oparts @ ( c_Message_Oparts @ V_H ) )
= ( c_Message_Oparts @ V_H ) ) )
= $true ),
inference(copy,[status(thm)],[671]) ).
thf(1698,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)],[670]) ).
thf(1699,plain,
( ( ! [V_H: $i] :
( ( c_Message_Oanalz @ ( c_Message_Oparts @ V_H ) )
= ( c_Message_Oparts @ V_H ) ) )
= $true ),
inference(copy,[status(thm)],[669]) ).
thf(1700,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)],[668]) ).
thf(1701,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)],[667]) ).
thf(1702,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)],[666]) ).
thf(1703,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)],[665]) ).
thf(1704,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)],[664]) ).
thf(1705,plain,
( ( c_Message_Oagent_OServer != c_Message_Oagent_OSpy )
= $true ),
inference(copy,[status(thm)],[663]) ).
thf(1706,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)],[662]) ).
thf(1707,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)],[661]) ).
thf(1708,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)],[660]) ).
thf(1709,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)],[659]) ).
thf(1710,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)],[658]) ).
thf(1711,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)],[657]) ).
thf(1712,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)],[656]) ).
thf(1713,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)],[655]) ).
thf(1714,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)],[654]) ).
thf(1715,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)],[653]) ).
thf(1716,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)],[652]) ).
thf(1717,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)],[651]) ).
thf(1718,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)],[650]) ).
thf(1719,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)],[649]) ).
thf(1720,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)],[648]) ).
thf(1721,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)],[647]) ).
thf(1722,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)],[646]) ).
thf(1723,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)],[645]) ).
thf(1724,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)],[644]) ).
thf(1725,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)],[643]) ).
thf(1726,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)],[642]) ).
thf(1727,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)],[641]) ).
thf(1728,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)],[640]) ).
thf(1729,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)],[639]) ).
thf(1730,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)],[638]) ).
thf(1731,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)],[637]) ).
thf(1732,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)],[636]) ).
thf(1733,plain,
( ( c_Message_Oagent_OSpy != c_Message_Oagent_OServer )
= $true ),
inference(copy,[status(thm)],[635]) ).
thf(1734,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)],[634]) ).
thf(1735,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)],[633]) ).
thf(1736,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)],[632]) ).
thf(1737,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)],[631]) ).
thf(1738,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)],[630]) ).
thf(1739,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)],[629]) ).
thf(1740,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)],[628]) ).
thf(1741,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)],[627]) ).
thf(1742,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)],[626]) ).
thf(1743,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)],[625]) ).
thf(1744,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)],[624]) ).
thf(1745,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)],[623]) ).
thf(1746,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)],[622]) ).
thf(1747,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)],[621]) ).
thf(1748,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)],[620]) ).
thf(1749,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)],[619]) ).
thf(1750,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)],[618]) ).
thf(1751,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)],[617]) ).
thf(1752,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)],[616]) ).
thf(1753,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)],[615]) ).
thf(1754,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)],[614]) ).
thf(1755,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)],[613]) ).
thf(1756,plain,
( ( class_Lattices_Oupper__semilattice @ tc_nat )
= $true ),
inference(copy,[status(thm)],[612]) ).
thf(1757,plain,
( ( class_Orderings_Opreorder @ tc_nat )
= $true ),
inference(copy,[status(thm)],[611]) ).
thf(1758,plain,
( ( class_Orderings_Olinorder @ tc_nat )
= $true ),
inference(copy,[status(thm)],[610]) ).
thf(1759,plain,
( ( class_Lattices_Olattice @ tc_nat )
= $true ),
inference(copy,[status(thm)],[609]) ).
thf(1760,plain,
( ( class_Orderings_Oorder @ tc_nat )
= $true ),
inference(copy,[status(thm)],[608]) ).
thf(1761,plain,
( ( class_Orderings_Obot @ tc_nat )
= $true ),
inference(copy,[status(thm)],[607]) ).
thf(1762,plain,
( ( class_HOL_Oord @ tc_nat )
= $true ),
inference(copy,[status(thm)],[606]) ).
thf(1763,plain,
( ( class_Lattices_Oupper__semilattice @ tc_bool )
= $true ),
inference(copy,[status(thm)],[605]) ).
thf(1764,plain,
( ( class_Lattices_Obounded__lattice @ tc_bool )
= $true ),
inference(copy,[status(thm)],[604]) ).
thf(1765,plain,
( ( class_Lattices_Oboolean__algebra @ tc_bool )
= $true ),
inference(copy,[status(thm)],[603]) ).
thf(1766,plain,
( ( class_Orderings_Opreorder @ tc_bool )
= $true ),
inference(copy,[status(thm)],[602]) ).
thf(1767,plain,
( ( class_Lattices_Olattice @ tc_bool )
= $true ),
inference(copy,[status(thm)],[601]) ).
thf(1768,plain,
( ( class_Orderings_Oorder @ tc_bool )
= $true ),
inference(copy,[status(thm)],[600]) ).
thf(1769,plain,
( ( class_Orderings_Otop @ tc_bool )
= $true ),
inference(copy,[status(thm)],[599]) ).
thf(1770,plain,
( ( class_Orderings_Obot @ tc_bool )
= $true ),
inference(copy,[status(thm)],[598]) ).
thf(1771,plain,
( ( class_HOL_Ouminus @ tc_bool )
= $true ),
inference(copy,[status(thm)],[597]) ).
thf(1772,plain,
( ( class_HOL_Oord @ tc_bool )
= $true ),
inference(copy,[status(thm)],[596]) ).
thf(1773,plain,
( ( ! [V_x: $i,T_a: $i] : ( c_fequal @ V_x @ V_x @ T_a ) )
= $true ),
inference(copy,[status(thm)],[595]) ).
thf(1774,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)],[594]) ).
thf(1775,plain,
( ( ~ $false ) = $true ),
inference(copy,[status(thm)],[1184]) ).
thf(1776,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( c_Message_Omsg_ONonce @ SX0 )
!= ( hAPP @ c_Message_Omsg_OKey @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1698]) ).
thf(1777,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( hAPP @ c_Message_Omsg_OKey @ SX0 )
!= ( c_Message_Omsg_ONonce @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1685]) ).
thf(1778,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)],[1259]) ).
thf(1779,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( hAPP @ c_Message_Omsg_OKey @ SX0 )
!= ( c_Message_Omsg_OAgent @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1721]) ).
thf(1780,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( c_List_Olist_OCons @ SX0 @ SX1 @ SX2 )
!= SX1 ) )
= $true ),
inference(unfold_def,[status(thm)],[1600]) ).
thf(1781,plain,
( ( ! [SX0: $i] :
( c_Message_Oagent_OSpy
!= ( c_Message_Oagent_OFriend @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1207]) ).
thf(1782,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( c_List_Olist_ONil @ SX0 )
!= ( c_List_Olist_OCons @ SX1 @ SX2 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1373]) ).
thf(1783,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( c_List_Olist_OCons @ SX0 @ SX1 @ SX2 )
!= ( c_List_Olist_ONil @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1294]) ).
thf(1784,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)],[1256]) ).
thf(1785,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)],[1731]) ).
thf(1786,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( c_Message_Omsg_ONonce @ SX0 )
!= ( c_Message_Omsg_OAgent @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1702]) ).
thf(1787,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)],[1374]) ).
thf(1788,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)],[1718]) ).
thf(1789,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)],[1240]) ).
thf(1790,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)],[1741]) ).
thf(1791,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)],[1613]) ).
thf(1792,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( SX0
!= ( c_List_Olist_OCons @ SX1 @ SX0 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1599]) ).
thf(1793,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( c_Message_Omsg_OAgent @ SX0 )
!= ( hAPP @ c_Message_Omsg_OKey @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1684]) ).
thf(1794,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( c_Message_Omsg_OAgent @ SX0 )
!= ( c_Message_Omsg_ONonce @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1730]) ).
thf(1795,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)],[1606]) ).
thf(1796,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( c_Message_Omsg_OAgent @ SX0 )
!= ( c_Message_Omsg_OCrypt @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1716]) ).
thf(1797,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)],[1639]) ).
thf(1798,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( c_Message_Omsg_ONonce @ SX0 )
!= ( c_Message_Omsg_OMPair @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1717]) ).
thf(1799,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)],[1571]) ).
thf(1800,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)],[1696]) ).
thf(1801,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)],[1403]) ).
thf(1802,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)],[1296]) ).
thf(1803,plain,
( ( c_Public_Okeymode_OEncryption != c_Public_Okeymode_OSignature )
= $true ),
inference(unfold_def,[status(thm)],[1235]) ).
thf(1804,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( c_Message_Omsg_OMPair @ SX0 @ SX1 )
!= ( c_Message_Omsg_ONonce @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1734]) ).
thf(1805,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)],[1381]) ).
thf(1806,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)],[1545]) ).
thf(1807,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)],[1628]) ).
thf(1808,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)],[1732]) ).
thf(1809,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)],[1621]) ).
thf(1810,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)],[1728]) ).
thf(1811,plain,
( ( ! [SX0: $i] :
( ( c_Message_Oagent_OFriend @ SX0 )
!= c_Message_Oagent_OServer ) )
= $true ),
inference(unfold_def,[status(thm)],[1209]) ).
thf(1812,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( ( hAPP @ c_Public_OshrK @ SX0 )
!= ( hAPP @ c_Public_OshrK @ SX1 ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1742]) ).
thf(1813,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)],[1227]) ).
thf(1814,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)],[1396]) ).
thf(1815,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)],[1238]) ).
thf(1816,plain,
( ( ! [SX0: $i] :
( ( c_Message_Oagent_OFriend @ SX0 )
!= c_Message_Oagent_OSpy ) )
= $true ),
inference(unfold_def,[status(thm)],[1206]) ).
thf(1817,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( hAPP @ ( c_Public_OpublicKey @ SX0 ) @ SX1 )
!= ( hAPP @ c_Public_OshrK @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1569]) ).
thf(1818,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)],[1689]) ).
thf(1819,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)],[1727]) ).
thf(1820,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)],[1620]) ).
thf(1821,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( ( c_List_Oset @ SX0 @ SX1 )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SX1 @ tc_bool ) ) )
| ( SX0
= ( c_List_Olist_ONil @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1401]) ).
thf(1822,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( c_Message_Omsg_OCrypt @ SX0 @ SX1 )
!= ( c_Message_Omsg_OAgent @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1719]) ).
thf(1823,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)],[1368]) ).
thf(1824,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)],[1574]) ).
thf(1825,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)],[1440]) ).
thf(1826,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)],[1572]) ).
thf(1827,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)],[1712]) ).
thf(1828,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SX0 @ tc_bool ) )
!= ( c_List_Oset @ SX1 @ SX0 ) )
| ( SX1
= ( c_List_Olist_ONil @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1354]) ).
thf(1829,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( c_Message_Omsg_ONonce @ SX0 )
!= ( c_Message_Omsg_OCrypt @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1726]) ).
thf(1830,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)],[1298]) ).
thf(1831,plain,
( ( ! [SX0: $i] :
( c_Message_Oagent_OServer
!= ( c_Message_Oagent_OFriend @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1208]) ).
thf(1832,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)],[1328]) ).
thf(1833,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)],[1293]) ).
thf(1834,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)],[1372]) ).
thf(1835,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( c_Message_Omsg_OMPair @ SX0 @ SX1 )
!= ( c_Message_Omsg_OAgent @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1700]) ).
thf(1836,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( c_Message_Omsg_OCrypt @ SX0 @ SX1 )
!= ( c_Message_Omsg_ONonce @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1683]) ).
thf(1837,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)],[1543]) ).
thf(1838,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)],[1735]) ).
thf(1839,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)],[1297]) ).
thf(1840,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( c_Message_Omsg_OAgent @ SX0 )
!= ( c_Message_Omsg_OMPair @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1713]) ).
thf(1841,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)],[1688]) ).
thf(1842,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( ( c_Message_Omsg_OAgent @ SX0 )
!= ( c_Message_Omsg_OAgent @ SX1 ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1673]) ).
thf(1843,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)],[1439]) ).
thf(1844,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( hAPP @ c_Public_OshrK @ SX0 )
!= ( hAPP @ ( c_Public_OpublicKey @ SX1 ) @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1570]) ).
thf(1845,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)],[1607]) ).
thf(1846,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( c_List_Olist_OCons @ SX0 @ SX1 @ SX2 )
!= ( c_List_Olist_ONil @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1295]) ).
thf(1847,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)],[1239]) ).
thf(1848,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)],[1622]) ).
thf(1849,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)],[1638]) ).
thf(1850,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)],[1573]) ).
thf(1851,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)],[1299]) ).
thf(1852,plain,
( ( c_Message_Oagent_OSpy != c_Message_Oagent_OServer )
= $true ),
inference(unfold_def,[status(thm)],[1733]) ).
thf(1853,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( ( hAPP @ c_Message_OinvKey @ SX0 )
!= ( hAPP @ c_Message_OinvKey @ SX1 ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1258]) ).
thf(1854,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( ( c_Message_Oagent_OFriend @ SX0 )
!= ( c_Message_Oagent_OFriend @ SX1 ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1205]) ).
thf(1855,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)],[1376]) ).
thf(1856,plain,
( ( c_Message_Oagent_OServer != c_Message_Oagent_OSpy )
= $true ),
inference(unfold_def,[status(thm)],[1705]) ).
thf(1857,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)],[1365]) ).
thf(1858,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)],[1375]) ).
thf(1859,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)],[1737]) ).
thf(1860,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)],[1687]) ).
thf(1861,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)],[1350]) ).
thf(1862,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( ( c_Message_Omsg_ONonce @ SX0 )
!= ( c_Message_Omsg_ONonce @ SX1 ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[1723]) ).
thf(1863,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)],[1292]) ).
thf(1864,plain,
( ( c_Public_Okeymode_OSignature != c_Public_Okeymode_OEncryption )
= $true ),
inference(unfold_def,[status(thm)],[1226]) ).
thf(1865,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)],[1612]) ).
thf(1866,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)],[1377]) ).
thf(1867,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)],[1740]) ).
thf(1868,plain,
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ v_KAB ) @ ( c_Event_Oused @ v_evs2 ) @ tc_Message_Omsg ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1186]) ).
thf(1869,plain,
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2 ) ) @ tc_Message_Omsg ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1189]) ).
thf(1870,plain,
( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ v_Ba @ v_Aa @ ( c_Message_Omsg_OCrypt @ v_KAB @ ( c_Message_Omsg_ONonce @ v_NB ) ) ) @ ( c_List_Oset @ v_evs2 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1196]) ).
thf(1871,plain,
( ( ( 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_evs2 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ v_K @ ( c_Message_Omsg_ONonce @ v_NB ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2 ) ) @ 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 @ ( c_Message_Omsg_OAgent @ v_B ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ v_K ) @ v_X ) ) ) ) ) @ ( c_List_Oset @ v_evs2 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1197]) ).
thf(1872,plain,
! [SV1: $i] :
( ( ! [SY1680: $i,SY1681: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV1 ) @ SY1680 ) ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV1 ) @ SY1681 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SY1680 @ SY1681 @ tc_Message_Oagent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1198]) ).
thf(1873,plain,
! [SV2: $i] :
( ( ! [SY1682: $i,SY1683: $i,SY1684: $i] :
( ( hBOOL @ ( c_in @ SV2 @ SY1682 @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SY1683 ) @ SV2 ) ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SY1684 ) @ SY1682 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1199]) ).
thf(1874,plain,
! [SV3: $i] :
( ( ! [SY1685: $i,SY1686: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ SV3 ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SY1685 ) @ SY1686 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1200]) ).
thf(1875,plain,
! [SV4: $i] :
( ( ! [SY1687: $i,SY1688: $i,SY1689: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV4 ) @ SY1687 ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SY1688 ) @ SY1689 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1201]) ).
thf(1876,plain,
! [SV5: $i] :
( ( ! [SY1690: $i,SY1691: $i,SY1692: $i] :
( ( SV5 = SY1690 )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV5 ) @ SY1691 ) ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SY1690 ) @ SY1692 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1202]) ).
thf(1877,plain,
! [SV6: $i] :
( ( ! [SY1693: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ SV6 ) @ ( c_Set_Oimage @ c_Message_OinvKey @ SY1693 @ tc_nat @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV6 @ SY1693 @ tc_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1203]) ).
thf(1878,plain,
! [SV7: $i] :
( ( ! [SY1694: $i] :
( ( hBOOL @ ( c_in @ SV7 @ SY1694 @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ SV7 ) @ ( c_Set_Oimage @ c_Message_OinvKey @ SY1694 @ tc_nat @ tc_nat ) @ tc_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1204]) ).
thf(1879,plain,
! [SV8: $i] :
( ( ! [SY1695: $i,SY1696: $i] :
( ~ ( hBOOL @ ( c_in @ SV8 @ SY1695 @ SY1696 ) )
| ~ ( hBOOL @ ( c_in @ SV8 @ ( c_HOL_Ouminus__class_Ouminus @ SY1695 @ ( tc_fun @ SY1696 @ tc_bool ) ) @ SY1696 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1210]) ).
thf(1880,plain,
! [SV9: $i] :
( ( ! [SY1697: $i,SY1698: $i] :
( ( hBOOL @ ( c_in @ SV9 @ ( c_HOL_Ouminus__class_Ouminus @ SY1697 @ ( tc_fun @ SY1698 @ tc_bool ) ) @ SY1698 ) )
| ( hBOOL @ ( c_in @ SV9 @ SY1697 @ SY1698 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1211]) ).
thf(1881,plain,
! [SV10: $i] :
( ( ! [SY1699: $i,SY1700: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV10 )
| ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SY1699 @ SV10 ) @ SY1700 @ SV10 )
| ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SY1700 @ SV10 ) @ SY1699 @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1212]) ).
thf(1882,plain,
! [SV11: $i] :
( ( ! [SY1701: $i,SY1702: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV11 )
| ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SY1701 @ SV11 ) @ SY1702 @ SV11 )
| ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SY1702 @ SV11 ) @ SY1701 @ SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1213]) ).
thf(1883,plain,
! [SV12: $i] :
( ( ! [SY1703: $i,SY1704: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV12 )
| ( c_lessequals @ SY1703 @ ( c_HOL_Ouminus__class_Ouminus @ SY1704 @ SV12 ) @ SV12 )
| ~ ( c_lessequals @ SY1704 @ ( c_HOL_Ouminus__class_Ouminus @ SY1703 @ SV12 ) @ SV12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1214]) ).
thf(1884,plain,
! [SV13: $i] :
( ( ! [SY1705: $i,SY1706: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV13 )
| ( c_lessequals @ SY1705 @ ( c_HOL_Ouminus__class_Ouminus @ SY1706 @ SV13 ) @ SV13 )
| ~ ( c_lessequals @ SY1706 @ ( c_HOL_Ouminus__class_Ouminus @ SY1705 @ SV13 ) @ SV13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1215]) ).
thf(1885,plain,
! [SV14: $i] :
( ( ! [SY1707: $i] :
( ~ ( class_OrderedGroup_Ogroup__add @ SV14 )
| ( ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ SY1707 @ SV14 ) @ SV14 )
= SY1707 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1216]) ).
thf(1886,plain,
! [SV15: $i] :
( ( ! [SY1708: $i] :
( ~ ( class_OrderedGroup_Ogroup__add @ SV15 )
| ( SY1708
= ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ SY1708 @ SV15 ) @ SV15 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1217]) ).
thf(1887,plain,
! [SV16: $i] :
( ( ! [SY1709: $i] :
( ~ ( class_OrderedGroup_Ogroup__add @ SV16 )
| ( SY1709
= ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ SY1709 @ SV16 ) @ SV16 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1218]) ).
thf(1888,plain,
! [SV17: $i] :
( ( ! [SY1710: $i] :
( ~ ( class_Lattices_Oboolean__algebra @ SV17 )
| ( ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ SY1710 @ SV17 ) @ SV17 )
= SY1710 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1219]) ).
thf(1889,plain,
! [SV18: $i] :
( ( ! [SY1711: $i] :
( ~ ( class_OrderedGroup_Ogroup__add @ SV18 )
| ( ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ SY1711 @ SV18 ) @ SV18 )
= SY1711 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1220]) ).
thf(1890,plain,
! [SV19: $i] :
( ( ! [SY1712: $i] :
( ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ SV19 @ ( tc_fun @ SY1712 @ tc_bool ) ) @ ( tc_fun @ SY1712 @ tc_bool ) )
= SV19 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1221]) ).
thf(1891,plain,
! [SV20: $i] :
( ( ! [SY1713: $i] :
( ~ ( class_Lattices_Oboolean__algebra @ SV20 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SY1713 @ ( c_HOL_Ouminus__class_Ouminus @ SY1713 @ SV20 ) @ SV20 )
= ( c_Orderings_Otop__class_Otop @ SV20 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1222]) ).
thf(1892,plain,
! [SV21: $i] :
( ( ! [SY1714: $i] :
( ~ ( class_Lattices_Oboolean__algebra @ SV21 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_HOL_Ouminus__class_Ouminus @ SY1714 @ SV21 ) @ SY1714 @ SV21 )
= ( c_Orderings_Otop__class_Otop @ SV21 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1223]) ).
thf(1893,plain,
! [SV22: $i] :
( ( ! [SY1715: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ SV22 @ ( c_HOL_Ouminus__class_Ouminus @ SV22 @ ( tc_fun @ SY1715 @ tc_bool ) ) @ ( tc_fun @ SY1715 @ tc_bool ) )
= ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SY1715 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1224]) ).
thf(1894,plain,
! [SV23: $i] :
( ( ! [SY1716: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_HOL_Ouminus__class_Ouminus @ SV23 @ ( tc_fun @ SY1716 @ tc_bool ) ) @ SV23 @ ( tc_fun @ SY1716 @ tc_bool ) )
= ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SY1716 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1225]) ).
thf(1895,plain,
! [SV24: $i] :
( ( ! [SY1717: $i] :
( ( hBOOL @ ( hAPP @ SV24 @ SY1717 ) )
| ~ ( hBOOL @ ( hAPP @ SV24 @ c_Public_Okeymode_OEncryption ) )
| ~ ( hBOOL @ ( hAPP @ SV24 @ c_Public_Okeymode_OSignature ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1228]) ).
thf(1896,plain,
! [SV25: $i] :
( ( ! [SY1718: $i,SY1719: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV25 )
| ( c_lessequals @ SY1718 @ SY1719 @ SV25 )
| ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SY1719 @ SV25 ) @ ( c_HOL_Ouminus__class_Ouminus @ SY1718 @ SV25 ) @ SV25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1229]) ).
thf(1897,plain,
! [SV26: $i] :
( ( ! [SY1720: $i,SY1721: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV26 )
| ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SY1720 @ SV26 ) @ ( c_HOL_Ouminus__class_Ouminus @ SY1721 @ SV26 ) @ SV26 )
| ~ ( c_lessequals @ SY1721 @ SY1720 @ SV26 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1230]) ).
thf(1898,plain,
! [SV27: $i] :
( ( ! [SY1722: $i,SY1723: $i] :
( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV27 @ ( tc_fun @ SY1722 @ tc_bool ) ) @ ( c_HOL_Ouminus__class_Ouminus @ SY1723 @ ( tc_fun @ SY1722 @ tc_bool ) ) @ ( tc_fun @ SY1722 @ tc_bool ) )
| ~ ( c_lessequals @ SY1723 @ SV27 @ ( tc_fun @ SY1722 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1231]) ).
thf(1899,plain,
! [SV28: $i] :
( ( ! [SY1724: $i,SY1725: $i] :
( ( c_lessequals @ SV28 @ SY1724 @ ( tc_fun @ SY1725 @ tc_bool ) )
| ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SY1724 @ ( tc_fun @ SY1725 @ tc_bool ) ) @ ( c_HOL_Ouminus__class_Ouminus @ SV28 @ ( tc_fun @ SY1725 @ tc_bool ) ) @ ( tc_fun @ SY1725 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1232]) ).
thf(1900,plain,
! [SV29: $i] :
( ( ! [SY1726: $i,SY1727: $i] :
( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV29 @ ( tc_fun @ SY1726 @ tc_bool ) ) @ ( c_HOL_Ouminus__class_Ouminus @ SY1727 @ ( tc_fun @ SY1726 @ tc_bool ) ) @ ( tc_fun @ SY1726 @ tc_bool ) )
| ~ ( c_lessequals @ SY1727 @ SV29 @ ( tc_fun @ SY1726 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1233]) ).
thf(1901,plain,
! [SV30: $i] :
( ( c_lessequals @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV30 @ tc_bool ) ) @ ( c_HOL_Ouminus__class_Ouminus @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV30 @ tc_bool ) ) @ ( tc_fun @ SV30 @ tc_bool ) ) @ ( tc_fun @ SV30 @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1234]) ).
thf(1902,plain,
! [SV31: $i] :
( ( ~ ( class_Lattices_Oboolean__algebra @ SV31 )
| ( ( c_HOL_Ouminus__class_Ouminus @ ( c_Orderings_Otop__class_Otop @ SV31 ) @ SV31 )
= ( c_Orderings_Obot__class_Obot @ SV31 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1236]) ).
thf(1903,plain,
! [SV32: $i] :
( ( ( c_HOL_Ouminus__class_Ouminus @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SV32 @ tc_bool ) ) @ ( tc_fun @ SV32 @ tc_bool ) )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV32 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1237]) ).
thf(1904,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)],[1241]) ).
thf(1905,plain,
! [SV33: $i] :
( ( ! [SY1728: $i] :
( ~ ( class_HOL_Ouminus @ SV33 )
| ( ( hAPP @ ( c_HOL_Ouminus__class_Ouminus @ SY1728 @ ( tc_fun @ t_a @ SV33 ) ) @ v_x )
= ( c_HOL_Ouminus__class_Ouminus @ ( hAPP @ SY1728 @ v_x ) @ SV33 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1242]) ).
thf(1906,plain,
! [SV34: $i] :
( ( ~ ( class_Lattices_Oboolean__algebra @ SV34 )
| ( ( c_HOL_Ouminus__class_Ouminus @ ( c_Orderings_Obot__class_Obot @ SV34 ) @ SV34 )
= ( c_Orderings_Otop__class_Otop @ SV34 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1243]) ).
thf(1907,plain,
! [SV35: $i] :
( ( ( c_HOL_Ouminus__class_Ouminus @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV35 @ tc_bool ) ) @ ( tc_fun @ SV35 @ tc_bool ) )
= ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SV35 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1244]) ).
thf(1908,plain,
! [SV36: $i] :
( ( ! [SY1729: $i] :
( ( SV36
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY1729 @ tc_bool ) ) )
| ~ ( c_lessequals @ SV36 @ ( c_HOL_Ouminus__class_Ouminus @ SV36 @ ( tc_fun @ SY1729 @ tc_bool ) ) @ ( tc_fun @ SY1729 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1245]) ).
thf(1909,plain,
! [SV37: $i] :
( ( ! [SY1730: $i] :
( ( c_lessequals @ ( c_Message_OkeysFor @ SV37 ) @ ( c_Message_OkeysFor @ SY1730 ) @ ( tc_fun @ tc_nat @ tc_bool ) )
| ~ ( c_lessequals @ SV37 @ SY1730 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1246]) ).
thf(1910,plain,
! [SV38: $i] :
( ( ( c_Event_OinitState @ ( c_Message_Oagent_OFriend @ SV38 ) )
= ( 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 @ SV38 ) ) ) ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ c_Public_Okeymode_OSignature ) @ ( c_Message_Oagent_OFriend @ SV38 ) ) ) ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ ( c_Message_Oagent_OFriend @ SV38 ) ) ) @ ( 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)],[1247]) ).
thf(1911,plain,
! [SV39: $i] :
( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ SV39 ) ) @ c_Message_OsymKeys @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1249]) ).
thf(1912,plain,
! [SV40: $i] :
( ( ! [SY1731: $i] :
( ~ ( class_Orderings_Obot @ SV40 )
| ( c_lessequals @ ( c_Orderings_Obot__class_Obot @ SV40 ) @ SY1731 @ SV40 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1250]) ).
thf(1913,plain,
! [SV41: $i] :
( ( ! [SY1732: $i] : ( c_lessequals @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV41 @ tc_bool ) ) @ SY1732 @ ( tc_fun @ SV41 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1251]) ).
thf(1914,plain,
! [SV42: $i] :
( ( ! [SY1733: $i] :
( ( c_lessequals @ ( c_Message_Osynth @ SV42 ) @ ( c_Message_Osynth @ SY1733 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ SV42 @ SY1733 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1252]) ).
thf(1915,plain,
! [SV43: $i] :
( ( ! [SY1734: $i,SY1735: $i] :
( ( hBOOL @ ( c_in @ SV43 @ ( c_Message_Osynth @ SY1734 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY1735 @ ( c_Message_Osynth @ SY1734 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV43 @ ( c_Message_Osynth @ ( c_Set_Oinsert @ SY1735 @ SY1734 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1253]) ).
thf(1916,plain,
! [SV44: $i] :
( ( ! [SY1736: $i,SY1737: $i,SY1738: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ SV44 @ ( c_Set_Oinsert @ SY1736 @ SY1737 @ SY1738 ) @ ( tc_fun @ SY1738 @ tc_bool ) )
= ( c_Set_Oinsert @ SY1736 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV44 @ SY1737 @ ( tc_fun @ SY1738 @ tc_bool ) ) @ SY1738 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1254]) ).
thf(1917,plain,
! [SV45: $i] :
( ( ! [SY1739: $i,SY1740: $i,SY1741: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oinsert @ SV45 @ SY1739 @ SY1740 ) @ SY1741 @ ( tc_fun @ SY1740 @ tc_bool ) )
= ( c_Set_Oinsert @ SV45 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1739 @ SY1741 @ ( tc_fun @ SY1740 @ tc_bool ) ) @ SY1740 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1255]) ).
thf(1918,plain,
! [SV46: $i] :
( ( ~ ( class_Orderings_Obot @ SV46 )
| ( ( hAPP @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ t_a @ SV46 ) ) @ v_x )
= ( c_Orderings_Obot__class_Obot @ SV46 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1257]) ).
thf(1919,plain,
! [SV47: $i] :
( ( ! [SY1742: $i,SY1743: $i] :
( ( SV47 = SY1742 )
| ~ ( hBOOL @ ( c_in @ SV47 @ ( c_Set_Oinsert @ SY1742 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY1743 @ tc_bool ) ) @ SY1743 ) @ SY1743 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1260]) ).
thf(1920,plain,
! [SV48: $i] :
( ( ( c_List_Oset @ ( c_List_Olist_ONil @ SV48 ) @ SV48 )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV48 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1261]) ).
thf(1921,plain,
! [SV49: $i] :
( ( ! [SY1744: $i,SY1745: $i] :
( ~ ( class_Lattices_Olattice @ SV49 )
| ( ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1744 @ SY1745 @ ( tc_fun @ t_a @ SV49 ) ) @ v_x )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( hAPP @ SY1744 @ v_x ) @ ( hAPP @ SY1745 @ v_x ) @ SV49 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1262]) ).
thf(1922,plain,
! [SV50: $i] :
( ( ! [SY1746: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ SV50 @ SV50 @ ( tc_fun @ SY1746 @ tc_bool ) )
= SV50 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1263]) ).
thf(1923,plain,
! [SV51: $i] :
( ( ! [SY1747: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV51 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SY1747 @ SY1747 @ SV51 )
= SY1747 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1264]) ).
thf(1924,plain,
! [SV52: $i] :
( ( ( c_Message_Oparts @ ( c_Message_Osynth @ SV52 ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ SV52 ) @ ( c_Message_Osynth @ SV52 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1265]) ).
thf(1925,plain,
! [SV53: $i] :
( ( ! [SY1748: $i] :
( ( c_lessequals @ ( c_Message_Osynth @ SV53 ) @ ( c_Message_Osynth @ SY1748 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ SV53 @ ( c_Message_Osynth @ SY1748 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1266]) ).
thf(1926,plain,
! [SV54: $i] :
( ( ! [SY1749: $i] :
( ( c_lessequals @ SV54 @ ( c_Message_Osynth @ SY1749 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Osynth @ SV54 ) @ ( c_Message_Osynth @ SY1749 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1267]) ).
thf(1927,plain,
! [SV55: $i] :
( ( ! [SY1750: $i,SY1751: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ SV55 @ ( c_Set_Oinsert @ SY1750 @ SY1751 @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV55 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SY1750 @ ( 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 @ SY1751 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1268]) ).
thf(1928,plain,
! [SV56: $i] :
( ( ! [SY1752: $i,SY1753: $i] :
( ( c_Set_Oinsert @ SV56 @ ( c_Set_Oinsert @ SY1752 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY1753 @ tc_bool ) ) @ SY1753 ) @ SY1753 )
= ( c_Set_Oinsert @ SY1752 @ ( c_Set_Oinsert @ SV56 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY1753 @ tc_bool ) ) @ SY1753 ) @ SY1753 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1269]) ).
thf(1929,plain,
! [SV57: $i] :
( ( ! [SY1754: $i,SY1755: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV57 @ SY1754 @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY1755 ) ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1755 @ SY1754 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV57 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY1755 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1270]) ).
thf(1930,plain,
! [SV58: $i] :
( ( ! [SY1756: $i,SY1757: $i] :
( ( c_Set_Oimage @ SV58 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY1756 @ tc_bool ) ) @ SY1756 @ SY1757 )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY1757 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1271]) ).
thf(1931,plain,
! [SV59: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV59 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_ONil @ SV59 ) @ SV59 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1272]) ).
thf(1932,plain,
! [SV60: $i] :
( ( ! [SY1758: $i,SY1759: $i,SY1760: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ SV60 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1758 @ SY1759 @ ( tc_fun @ SY1760 @ tc_bool ) ) @ ( tc_fun @ SY1760 @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SY1758 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV60 @ SY1759 @ ( tc_fun @ SY1760 @ tc_bool ) ) @ ( tc_fun @ SY1760 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1273]) ).
thf(1933,plain,
! [SV61: $i] :
( ( ! [SY1761: $i,SY1762: $i,SY1763: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV61 @ SY1761 @ ( tc_fun @ SY1762 @ tc_bool ) ) @ SY1763 @ ( tc_fun @ SY1762 @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV61 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1761 @ SY1763 @ ( tc_fun @ SY1762 @ tc_bool ) ) @ ( tc_fun @ SY1762 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1274]) ).
thf(1934,plain,
! [SV62: $i] :
( ( ! [SY1764: $i,SY1765: $i,SY1766: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV62 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1764 @ SY1765 @ SV62 ) @ SY1766 @ SV62 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SY1764 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1765 @ SY1766 @ SV62 ) @ SV62 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1275]) ).
thf(1935,plain,
! [SV63: $i] :
( ( ! [SY1767: $i,SY1768: $i,SY1769: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV63 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SY1767 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1768 @ SY1769 @ SV63 ) @ SV63 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SY1768 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1767 @ SY1769 @ SV63 ) @ SV63 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1276]) ).
thf(1936,plain,
! [SV64: $i] :
( ( ! [SY1770: $i,SY1771: $i,SY1772: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ SV64 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1770 @ SY1771 @ ( tc_fun @ SY1772 @ tc_bool ) ) @ ( tc_fun @ SY1772 @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV64 @ SY1770 @ ( tc_fun @ SY1772 @ tc_bool ) ) @ SY1771 @ ( tc_fun @ SY1772 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1277]) ).
thf(1937,plain,
! [SV65: $i] :
( ( ! [SY1773: $i,SY1774: $i,SY1775: $i] :
( ~ ( class_Lattices_Olattice @ SV65 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SY1773 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1774 @ SY1775 @ SV65 ) @ SV65 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SY1774 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1773 @ SY1775 @ SV65 ) @ SV65 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1278]) ).
thf(1938,plain,
! [SV66: $i] :
( ( ! [SY1776: $i,SY1777: $i,SY1778: $i] :
( ~ ( class_Lattices_Olattice @ SV66 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1776 @ SY1777 @ SV66 ) @ SY1778 @ SV66 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SY1776 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1777 @ SY1778 @ SV66 ) @ SV66 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1279]) ).
thf(1939,plain,
! [SV67: $i] :
( ( ! [SY1779: $i,SY1780: $i,SY1781: $i] :
( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV67 @ SY1779 @ ( tc_fun @ SY1780 @ tc_bool ) ) @ SY1781 @ ( tc_fun @ SY1780 @ tc_bool ) )
| ~ ( c_lessequals @ SY1779 @ SY1781 @ ( tc_fun @ SY1780 @ tc_bool ) )
| ~ ( c_lessequals @ SV67 @ SY1781 @ ( tc_fun @ SY1780 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1280]) ).
thf(1940,plain,
! [SV68: $i] :
( ( ! [SY1782: $i,SY1783: $i] : ( c_lessequals @ SV68 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1782 @ SV68 @ ( tc_fun @ SY1783 @ tc_bool ) ) @ ( tc_fun @ SY1783 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1281]) ).
thf(1941,plain,
! [SV69: $i] :
( ( ! [SY1784: $i,SY1785: $i] : ( c_lessequals @ SV69 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV69 @ SY1784 @ ( tc_fun @ SY1785 @ tc_bool ) ) @ ( tc_fun @ SY1785 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1282]) ).
thf(1942,plain,
! [SV70: $i] :
( ( ! [SY1786: $i,SY1787: $i,SY1788: $i] :
( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV70 @ SY1786 @ ( tc_fun @ SY1787 @ tc_bool ) ) @ SY1788 @ ( tc_fun @ SY1787 @ tc_bool ) )
| ~ ( c_lessequals @ SY1786 @ SY1788 @ ( tc_fun @ SY1787 @ tc_bool ) )
| ~ ( c_lessequals @ SV70 @ SY1788 @ ( tc_fun @ SY1787 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1283]) ).
thf(1943,plain,
! [SV71: $i] :
( ( ! [SY1789: $i,SY1790: $i,SY1791: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV71 )
| ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1789 @ SY1790 @ SV71 ) @ SY1791 @ SV71 )
| ~ ( c_lessequals @ SY1790 @ SY1791 @ SV71 )
| ~ ( c_lessequals @ SY1789 @ SY1791 @ SV71 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1284]) ).
thf(1944,plain,
! [SV72: $i] :
( ( ! [SY1792: $i,SY1793: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV72 )
| ( c_lessequals @ SY1792 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1792 @ SY1793 @ SV72 ) @ SV72 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1285]) ).
thf(1945,plain,
! [SV73: $i] :
( ( ! [SY1794: $i,SY1795: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV73 )
| ( c_lessequals @ SY1794 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1795 @ SY1794 @ SV73 ) @ SV73 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1286]) ).
thf(1946,plain,
! [SV74: $i] :
( ( ! [SY1796: $i,SY1797: $i,SY1798: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV74 )
| ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1796 @ SY1797 @ SV74 ) @ SY1798 @ SV74 )
| ~ ( c_lessequals @ SY1797 @ SY1798 @ SV74 )
| ~ ( c_lessequals @ SY1796 @ SY1798 @ SV74 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1287]) ).
thf(1947,plain,
! [SV75: $i] :
( ( ! [SY1799: $i,SY1800: $i,SY1801: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV75 )
| ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1799 @ SY1800 @ SV75 ) @ SY1801 @ SV75 )
| ~ ( c_lessequals @ SY1800 @ SY1801 @ SV75 )
| ~ ( c_lessequals @ SY1799 @ SY1801 @ SV75 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1288]) ).
thf(1948,plain,
! [SV76: $i] :
( ( ! [SY1802: $i,SY1803: $i] :
( ~ ( class_Lattices_Olattice @ SV76 )
| ( c_lessequals @ SY1802 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1803 @ SY1802 @ SV76 ) @ SV76 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1289]) ).
thf(1949,plain,
! [SV77: $i] :
( ( ! [SY1804: $i,SY1805: $i] :
( ~ ( class_Lattices_Olattice @ SV77 )
| ( c_lessequals @ SY1804 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1804 @ SY1805 @ SV77 ) @ SV77 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1290]) ).
thf(1950,plain,
! [SV78: $i] :
( ( ! [SY1806: $i,SY1807: $i,SY1808: $i] :
( ~ ( class_Orderings_Olinorder @ SV78 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY1806 @ SY1807 @ SV78 ) @ SV78 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY1808 @ ( c_List_Olist_OCons @ SY1806 @ SY1807 @ SV78 ) @ SV78 ) @ SV78 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1291]) ).
thf(1951,plain,
! [SV79: $i] :
( ( ! [SY1809: $i,SY1810: $i] :
( ~ ( class_Orderings_Olinorder @ SV79 )
| ( c_List_Olinorder__class_Osorted @ SY1809 @ SV79 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY1810 @ SY1809 @ SV79 ) @ SV79 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1300]) ).
thf(1952,plain,
! [SV80: $i] :
( ( ! [SY1811: $i,SY1812: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ SV80 @ SY1811 @ ( tc_fun @ SY1812 @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SY1811 @ SV80 @ ( tc_fun @ SY1812 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1301]) ).
thf(1953,plain,
! [SV81: $i] :
( ( ! [SY1813: $i,SY1814: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV81 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SY1813 @ SY1814 @ SV81 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SY1814 @ SY1813 @ SV81 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1302]) ).
thf(1954,plain,
! [SV82: $i] :
( ( ! [SY1815: $i,SY1816: $i] :
( ~ ( class_Lattices_Olattice @ SV82 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SY1815 @ SY1816 @ SV82 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SY1816 @ SY1815 @ SV82 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1303]) ).
thf(1955,plain,
! [SV83: $i] :
( ( ! [SY1817: $i,SY1818: $i] :
( ( c_Set_Oinsert @ SV83 @ SY1817 @ SY1818 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oinsert @ SV83 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY1818 @ tc_bool ) ) @ SY1818 ) @ SY1817 @ ( tc_fun @ SY1818 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1304]) ).
thf(1956,plain,
! [SV84: $i] :
( ( ! [SY1819: $i,SY1820: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ SV84 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV84 @ SY1819 @ ( tc_fun @ SY1820 @ tc_bool ) ) @ ( tc_fun @ SY1820 @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV84 @ SY1819 @ ( tc_fun @ SY1820 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1305]) ).
thf(1957,plain,
! [SV85: $i] :
( ( ! [SY1821: $i,SY1822: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV85 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SY1821 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1821 @ SY1822 @ SV85 ) @ SV85 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SY1821 @ SY1822 @ SV85 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1306]) ).
thf(1958,plain,
! [SV86: $i] :
( ( ! [SY1823: $i,SY1824: $i] :
( ~ ( class_Lattices_Olattice @ SV86 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SY1823 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1823 @ SY1824 @ SV86 ) @ SV86 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SY1823 @ SY1824 @ SV86 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1307]) ).
thf(1959,plain,
! [SV87: $i] :
( ( ( c_Message_Osynth @ ( c_Message_Osynth @ SV87 ) )
= ( c_Message_Osynth @ SV87 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1308]) ).
thf(1960,plain,
! [SV88: $i] :
( ( ( c_Message_Oanalz @ ( c_Message_Osynth @ SV88 ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oanalz @ SV88 ) @ ( c_Message_Osynth @ SV88 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1309]) ).
thf(1961,plain,
! [SV89: $i] :
( ( ! [SY1825: $i,SY1826: $i] :
( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV89 @ tc_bool ) )
= ( c_Set_Oimage @ SY1825 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY1826 @ tc_bool ) ) @ SY1826 @ SV89 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1310]) ).
thf(1962,plain,
! [SV90: $i] :
( ( ! [SY1827: $i] :
( ~ ( class_Orderings_Olinorder @ SV90 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY1827 @ ( c_List_Olist_ONil @ SV90 ) @ SV90 ) @ SV90 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1311]) ).
thf(1963,plain,
! [SV91: $i] :
( ( ! [SY1828: $i,SY1829: $i] :
( ( hBOOL @ ( c_in @ SV91 @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY1828 ) ) @ ( c_Message_Oparts @ SY1828 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY1829 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY1828 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV91 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SY1829 @ ( 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)],[1312]) ).
thf(1964,plain,
! [SV92: $i] :
( ( ! [SY1830: $i,SY1831: $i,SY1832: $i] :
( ( hBOOL @ ( c_in @ SV92 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1830 @ SY1831 @ ( tc_fun @ SY1832 @ tc_bool ) ) @ SY1832 ) )
| ~ ( hBOOL @ ( c_in @ SV92 @ SY1830 @ SY1832 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1313]) ).
thf(1965,plain,
! [SV93: $i] :
( ( ! [SY1833: $i,SY1834: $i,SY1835: $i] :
( ( hBOOL @ ( c_in @ SV93 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1833 @ SY1834 @ ( tc_fun @ SY1835 @ tc_bool ) ) @ SY1835 ) )
| ~ ( hBOOL @ ( c_in @ SV93 @ SY1834 @ SY1835 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1314]) ).
thf(1966,plain,
! [SV94: $i] :
( ( ! [SY1836: $i] :
~ ( hBOOL @ ( c_in @ SV94 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY1836 @ tc_bool ) ) @ SY1836 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1315]) ).
thf(1967,plain,
! [SV95: $i] :
( ( ! [SY1837: $i,SY1838: $i] :
( ( hBOOL @ ( hAPP @ SV95 @ SY1837 ) )
| ~ ( hBOOL @ ( c_in @ SY1837 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY1838 @ tc_bool ) ) @ SY1838 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1316]) ).
thf(1968,plain,
! [SV96: $i] :
( ( ! [SY1839: $i] :
~ ( hBOOL @ ( c_in @ SV96 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY1839 @ tc_bool ) ) @ SY1839 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1317]) ).
thf(1969,plain,
! [SV97: $i] :
( ( ! [SY1840: $i] :
~ ( hBOOL @ ( c_in @ SV97 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY1840 @ tc_bool ) ) @ SY1840 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1318]) ).
thf(1970,plain,
! [SV98: $i] :
( ( ! [SY1841: $i,SY1842: $i,SY1843: $i] :
( ( hBOOL @ ( c_in @ SV98 @ SY1841 @ SY1842 ) )
| ( hBOOL @ ( c_in @ SV98 @ SY1843 @ SY1842 ) )
| ~ ( hBOOL @ ( c_in @ SV98 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1843 @ SY1841 @ ( tc_fun @ SY1842 @ tc_bool ) ) @ SY1842 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1319]) ).
thf(1971,plain,
! [SV99: $i] :
( ( ! [SY1844: $i,SY1845: $i] :
( ~ ( hBOOL @ ( hAPP @ SV99 @ SY1844 ) )
| ~ ( hBOOL @ ( c_in @ SY1844 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY1845 @ tc_bool ) ) @ SY1845 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1320]) ).
thf(1972,plain,
! [SV100: $i] :
( ( ! [SY1846: $i] :
( ( hBOOL @ ( c_in @ SV100 @ ( c_Message_Osynth @ SY1846 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV100 @ SY1846 @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1321]) ).
thf(1973,plain,
! [SV101: $i] :
( ( ! [SY1847: $i] :
( ( hBOOL @ ( c_in @ SV101 @ ( c_Message_Osynth @ SY1847 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV101 @ ( c_Message_Osynth @ ( c_Message_Osynth @ SY1847 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1322]) ).
thf(1974,plain,
! [SV102: $i] :
( ( ! [SY1848: $i,SY1849: $i] :
( ( hBOOL @ ( c_in @ SV102 @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY1848 ) ) @ ( c_Message_Oparts @ SY1848 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY1849 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY1848 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV102 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SY1849 @ SY1848 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1323]) ).
thf(1975,plain,
! [SV103: $i] :
( ( ! [SY1850: $i] :
( ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV103 @ SY1850 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ SV103 ) @ ( c_Message_Oparts @ SY1850 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1324]) ).
thf(1976,plain,
! [SV104: $i] :
( ( ! [SY1851: $i] :
( ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oanalz @ SV104 ) @ SY1851 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV104 @ SY1851 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1327]) ).
thf(1977,plain,
! [SV105: $i] :
( ( ! [SY1852: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ SV105 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY1852 ) @ tc_Message_Omsg ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV105 @ ( 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 @ SY1852 ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1329]) ).
thf(1978,plain,
! [SV106: $i] :
( ( ( hAPP @ c_Message_OinvKey @ ( hAPP @ c_Public_OshrK @ SV106 ) )
= ( hAPP @ c_Public_OshrK @ SV106 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1330]) ).
thf(1979,plain,
! [SV107: $i] :
( ( ! [SY1853: $i,SY1854: $i,SY1855: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV107 ) ) @ ( c_Message_Oparts @ SY1853 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV107 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1854 @ SY1853 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SY1855 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY1853 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV107 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SY1855 @ SY1854 @ tc_Message_Omsg ) ) ) @ tc_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1331]) ).
thf(1980,plain,
! [SV108: $i] :
( ( ! [SY1856: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV108 @ SY1856 @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY1856 ) ) @ ( c_Message_Oparts @ SY1856 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV108 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY1856 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1332]) ).
thf(1981,plain,
! [SV109: $i] :
( ( ! [SY1857: $i,SY1858: $i,SY1859: $i] :
( ( c_Event_Oused @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV109 @ SY1857 @ SY1858 ) @ SY1859 @ tc_Event_Oevent ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SY1858 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Event_Oused @ SY1859 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1333]) ).
thf(1982,plain,
! [SV110: $i] :
( ( ! [SY1860: $i,SY1861: $i] :
( ( c_Event_Oused @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV110 @ SY1860 ) @ SY1861 @ tc_Event_Oevent ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SY1860 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Event_Oused @ SY1861 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1334]) ).
thf(1983,plain,
! [SV111: $i] :
( ( ! [SY1862: $i,SY1863: $i] :
( ( hBOOL @ ( c_in @ SV111 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY1862 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SY1863 @ SV111 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY1862 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1335]) ).
thf(1984,plain,
! [SV112: $i] :
( ( ! [SY1864: $i,SY1865: $i] :
( ( hBOOL @ ( c_in @ SV112 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY1864 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV112 @ SY1865 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY1864 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1336]) ).
thf(1985,plain,
! [SV113: $i] :
( ( ! [SY1866: $i,SY1867: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV113 @ SY1866 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY1867 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY1866 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY1867 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV113 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY1867 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1337]) ).
thf(1986,plain,
! [SV114: $i] :
( ( ! [SY1868: $i,SY1869: $i] :
~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV114 @ SY1868 ) @ ( c_Message_Oparts @ ( c_Event_OinitState @ SY1869 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1338]) ).
thf(1987,plain,
! [SV115: $i] :
( ( ! [SY1870: $i,SY1871: $i] :
~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV115 @ SY1870 ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SY1871 @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1339]) ).
thf(1988,plain,
! [SV116: $i] :
( ( ! [SY1872: $i,SY1873: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV116 @ SY1872 ) @ ( c_Message_Osynth @ SY1873 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV116 @ SY1872 ) @ SY1873 @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV116 ) @ SY1873 @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1340]) ).
thf(1989,plain,
! [SV117: $i] :
( ( ! [SY1874: $i,SY1875: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV117 @ SY1874 ) @ SY1875 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV117 @ SY1874 ) @ ( c_Message_Osynth @ SY1875 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV117 ) @ SY1875 @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1341]) ).
thf(1990,plain,
! [SV118: $i] :
( ( ! [SY1876: $i,SY1877: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV118 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SY1876 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY1877 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV118 @ SY1876 @ tc_nat ) )
| ~ ( c_lessequals @ SY1876 @ ( 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 @ SY1877 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1342]) ).
thf(1991,plain,
! [SV119: $i] :
( ( ! [SY1878: $i,SY1879: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV119 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY1878 ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV119 @ SY1879 @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV119 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SY1879 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY1878 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SY1879 @ ( 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 @ SY1878 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1343]) ).
thf(1992,plain,
! [SV120: $i] :
( ( ! [SY1880: $i,SY1881: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV120 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SY1880 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY1881 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV120 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY1881 ) ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SY1880 @ ( 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 @ SY1881 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1345]) ).
thf(1993,plain,
! [SV121: $i] :
( ( ! [SY1882: $i] :
( ~ ( class_Lattices_Obounded__lattice @ SV121 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SY1882 @ ( c_Orderings_Otop__class_Otop @ SV121 ) @ SV121 )
= ( c_Orderings_Otop__class_Otop @ SV121 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1346]) ).
thf(1994,plain,
! [SV122: $i] :
( ( ! [SY1883: $i] :
( ~ ( class_Lattices_Obounded__lattice @ SV122 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Otop__class_Otop @ SV122 ) @ SY1883 @ SV122 )
= ( c_Orderings_Otop__class_Otop @ SV122 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1347]) ).
thf(1995,plain,
! [SV123: $i] :
( ( ! [SY1884: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SV123 @ tc_bool ) ) @ SY1884 @ ( tc_fun @ SV123 @ tc_bool ) )
= ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SV123 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1348]) ).
thf(1996,plain,
! [SV124: $i] :
( ( ! [SY1885: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ SV124 @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SY1885 @ tc_bool ) ) @ ( tc_fun @ SY1885 @ tc_bool ) )
= ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SY1885 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1349]) ).
thf(1997,plain,
! [SV125: $i] :
( ( ! [SY1886: $i] :
( ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ SV125 ) @ SY1886 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV125 @ SY1886 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( c_Message_Osynth @ SV125 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1351]) ).
thf(1998,plain,
! [SV126: $i] :
( ( ! [SY1887: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV126 @ ( 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 @ SY1887 ) ) @ ( c_Message_Oparts @ SY1887 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV126 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY1887 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1352]) ).
thf(1999,plain,
! [SV127: $i] :
( ( ! [SY1888: $i] : ( c_lessequals @ ( c_Set_Oinsert @ SV127 @ ( c_Message_Osynth @ SY1888 ) @ tc_Message_Omsg ) @ ( c_Message_Osynth @ ( c_Set_Oinsert @ SV127 @ SY1888 @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1353]) ).
thf(2000,plain,
! [SV128: $i] :
( ( ! [SY1889: $i,SY1890: $i,SY1891: $i] :
( ( hBOOL @ ( hAPP @ SV128 @ SY1889 ) )
| ( hBOOL @ ( hAPP @ SY1890 @ SY1889 ) )
| ~ ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1890 @ SV128 @ ( tc_fun @ SY1891 @ tc_bool ) ) @ SY1889 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1355]) ).
thf(2001,plain,
! [SV129: $i] :
( ( ! [SY1892: $i,SY1893: $i,SY1894: $i] :
( ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV129 @ SY1892 @ ( tc_fun @ SY1893 @ tc_bool ) ) @ SY1894 ) )
| ~ ( hBOOL @ ( hAPP @ SY1892 @ SY1894 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1356]) ).
thf(2002,plain,
! [SV130: $i] :
( ( ! [SY1895: $i,SY1896: $i,SY1897: $i] :
( ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV130 @ SY1895 @ ( tc_fun @ SY1896 @ tc_bool ) ) @ SY1897 ) )
| ~ ( hBOOL @ ( hAPP @ SV130 @ SY1897 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1357]) ).
thf(2003,plain,
! [SV131: $i] :
( ( ! [SY1898: $i] :
( ~ ( class_Lattices_Obounded__lattice @ SV131 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SY1898 @ ( c_Orderings_Obot__class_Obot @ SV131 ) @ SV131 )
= SY1898 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1358]) ).
thf(2004,plain,
! [SV132: $i] :
( ( ! [SY1899: $i] :
( ~ ( class_Lattices_Obounded__lattice @ SV132 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Obot__class_Obot @ SV132 ) @ SY1899 @ SV132 )
= SY1899 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1359]) ).
thf(2005,plain,
! [SV133: $i] :
( ( ! [SY1900: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV133 @ tc_bool ) ) @ SY1900 @ ( tc_fun @ SV133 @ tc_bool ) )
= SY1900 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1360]) ).
thf(2006,plain,
! [SV134: $i] :
( ( ! [SY1901: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ SV134 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY1901 @ tc_bool ) ) @ ( tc_fun @ SY1901 @ tc_bool ) )
= SV134 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1361]) ).
thf(2007,plain,
! [SV135: $i] :
( ( ! [SY1902: $i] : ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ SV135 ) @ ( c_Message_Osynth @ SY1902 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Message_Osynth @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV135 @ SY1902 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1363]) ).
thf(2008,plain,
! [SV136: $i] :
( ( ! [SY1903: $i] :
~ ( hBOOL @ ( hAPP @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV136 @ tc_bool ) ) @ SY1903 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1364]) ).
thf(2009,plain,
! [SV137: $i] :
( ( ! [SY1904: $i,SY1905: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ SV137 @ ( c_Event_Oknows @ SY1904 @ SY1905 ) @ tc_Message_Omsg ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV137 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ SY1904 @ SY1905 ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1366]) ).
thf(2010,plain,
! [SV138: $i] :
( ( ! [SY1906: $i,SY1907: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV138 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SY1906 @ SY1907 @ SV138 )
= SY1906 )
| ~ ( c_lessequals @ SY1907 @ SY1906 @ SV138 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1367]) ).
thf(2011,plain,
! [SV139: $i] :
( ( ! [SY1908: $i,SY1909: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV139 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SY1908 @ SY1909 @ SV139 )
= SY1909 )
| ~ ( c_lessequals @ SY1908 @ SY1909 @ SV139 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1369]) ).
thf(2012,plain,
! [SV140: $i] :
( ( ! [SY1910: $i,SY1911: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV140 @ SY1910 @ ( tc_fun @ SY1911 @ tc_bool ) )
= SY1910 )
| ~ ( c_lessequals @ SV140 @ SY1910 @ ( tc_fun @ SY1911 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1370]) ).
thf(2013,plain,
! [SV141: $i] :
( ( ! [SY1912: $i,SY1913: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV141 @ SY1912 @ ( tc_fun @ SY1913 @ tc_bool ) )
= SV141 )
| ~ ( c_lessequals @ SY1912 @ SV141 @ ( tc_fun @ SY1913 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1371]) ).
thf(2014,plain,
! [SV142: $i] :
( ( ! [SY1914: $i] :
( ( SV142
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY1914 @ tc_bool ) ) )
| ~ ( c_lessequals @ SV142 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY1914 @ tc_bool ) ) @ ( tc_fun @ SY1914 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1379]) ).
thf(2015,plain,
! [SV143: $i] :
( ( c_lessequals @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV143 @ tc_bool ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV143 @ tc_bool ) ) @ ( tc_fun @ SV143 @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1380]) ).
thf(2016,plain,
! [SV144: $i] :
( ( ! [SY1915: $i,SY1916: $i,SY1917: $i,SY1918: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ SV144 @ SY1915 @ SY1916 @ SY1917 ) @ ( c_Set_Oimage @ SV144 @ SY1918 @ SY1916 @ SY1917 ) @ ( tc_fun @ SY1917 @ tc_bool ) )
= ( c_Set_Oimage @ SV144 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1915 @ SY1918 @ ( tc_fun @ SY1916 @ tc_bool ) ) @ SY1916 @ SY1917 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1382]) ).
thf(2017,plain,
! [SV145: $i] :
( ( ! [SY1919: $i,SY1920: $i,SY1921: $i,SY1922: $i] :
( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV145 @ SY1919 @ ( tc_fun @ SY1920 @ tc_bool ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1921 @ SY1922 @ ( tc_fun @ SY1920 @ tc_bool ) ) @ ( tc_fun @ SY1920 @ tc_bool ) )
| ~ ( c_lessequals @ SY1919 @ SY1922 @ ( tc_fun @ SY1920 @ tc_bool ) )
| ~ ( c_lessequals @ SV145 @ SY1921 @ ( tc_fun @ SY1920 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1383]) ).
thf(2018,plain,
! [SV146: $i] :
( ( ( hAPP @ c_Message_OinvKey @ ( hAPP @ c_Message_OinvKey @ SV146 ) )
= SV146 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1384]) ).
thf(2019,plain,
! [SV147: $i] :
( ( c_lessequals @ SV147 @ ( c_Message_Osynth @ SV147 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1385]) ).
thf(2020,plain,
! [SV148: $i] :
( ( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV148 @ tc_bool ) )
= ( c_List_Oset @ ( c_List_Olist_ONil @ SV148 ) @ SV148 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1386]) ).
thf(2021,plain,
! [SV149: $i] :
( ( ( c_Event_Oknows @ SV149 @ ( c_List_Olist_ONil @ tc_Event_Oevent ) )
= ( c_Event_OinitState @ SV149 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1387]) ).
thf(2022,plain,
! [SV150: $i] :
( ( ! [SY1923: $i,SY1924: $i,SY1925: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV150 )
| ( c_lessequals @ SY1923 @ SY1924 @ SV150 )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1925 @ SY1923 @ SV150 ) @ SY1924 @ SV150 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1388]) ).
thf(2023,plain,
! [SV151: $i] :
( ( ! [SY1926: $i,SY1927: $i,SY1928: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV151 )
| ( c_lessequals @ SY1926 @ SY1927 @ SV151 )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1926 @ SY1928 @ SV151 ) @ SY1927 @ SV151 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1389]) ).
thf(2024,plain,
! [SV152: $i] :
( ( ! [SY1929: $i,SY1930: $i,SY1931: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV152 )
| ( c_lessequals @ SY1929 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1930 @ SY1931 @ SV152 ) @ SV152 )
| ~ ( c_lessequals @ SY1929 @ SY1931 @ SV152 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1390]) ).
thf(2025,plain,
! [SV153: $i] :
( ( ! [SY1932: $i,SY1933: $i,SY1934: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV153 )
| ( c_lessequals @ SY1932 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1933 @ SY1934 @ SV153 ) @ SV153 )
| ~ ( c_lessequals @ SY1932 @ SY1933 @ SV153 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1391]) ).
thf(2026,plain,
! [SV154: $i] :
( ( ! [SY1935: $i,SY1936: $i,SY1937: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV154 )
| ( c_lessequals @ SY1935 @ SY1936 @ SV154 )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1937 @ SY1935 @ SV154 ) @ SY1936 @ SV154 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1392]) ).
thf(2027,plain,
! [SV155: $i] :
( ( ! [SY1938: $i,SY1939: $i,SY1940: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV155 )
| ( c_lessequals @ SY1938 @ SY1939 @ SV155 )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1938 @ SY1940 @ SV155 ) @ SY1939 @ SV155 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1393]) ).
thf(2028,plain,
! [SV156: $i] :
( ( ! [SY1941: $i,SY1942: $i,SY1943: $i] :
( ( c_lessequals @ SV156 @ SY1941 @ ( tc_fun @ SY1942 @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV156 @ SY1943 @ ( tc_fun @ SY1942 @ tc_bool ) ) @ SY1941 @ ( tc_fun @ SY1942 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1394]) ).
thf(2029,plain,
! [SV157: $i] :
( ( ! [SY1944: $i,SY1945: $i,SY1946: $i] :
( ( c_lessequals @ SV157 @ SY1944 @ ( tc_fun @ SY1945 @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1946 @ SV157 @ ( tc_fun @ SY1945 @ tc_bool ) ) @ SY1944 @ ( tc_fun @ SY1945 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1395]) ).
thf(2030,plain,
! [SV158: $i] :
( ( ! [SY1947: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ SV158 @ SY1947 @ tc_Message_Omsg ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV158 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Message_Oparts @ SY1947 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1397]) ).
thf(2031,plain,
! [SV159: $i] :
( ( ! [SY1948: $i] : ( hBOOL @ ( c_in @ SV159 @ ( c_Set_Oinsert @ SV159 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY1948 @ tc_bool ) ) @ SY1948 ) @ SY1948 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1398]) ).
thf(2032,plain,
! [SV160: $i] :
( ( ! [SY1949: $i,SY1950: $i] :
( ( SV160
= ( c_Set_Oinsert @ SY1949 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY1950 @ tc_bool ) ) @ SY1950 ) )
| ( SV160
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY1950 @ tc_bool ) ) )
| ~ ( c_lessequals @ SV160 @ ( c_Set_Oinsert @ SY1949 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY1950 @ tc_bool ) ) @ SY1950 ) @ ( tc_fun @ SY1950 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1399]) ).
thf(2033,plain,
! [SV161: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV161 @ tc_bool ) ) @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV161 @ tc_bool ) ) @ ( tc_fun @ SV161 @ tc_bool ) )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV161 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1400]) ).
thf(2034,plain,
! [SV162: $i] :
( ( ! [SY1951: $i,SY1952: $i,SY1953: $i,SY1954: $i] :
( ( c_Set_Oimage @ SV162 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1951 @ SY1952 @ ( tc_fun @ SY1953 @ tc_bool ) ) @ SY1953 @ SY1954 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ SV162 @ SY1951 @ SY1953 @ SY1954 ) @ ( c_Set_Oimage @ SV162 @ SY1952 @ SY1953 @ SY1954 ) @ ( tc_fun @ SY1954 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1402]) ).
thf(2035,plain,
! [SV163: $i] :
( ( ! [SY1955: $i,SY1956: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV163 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SY1955 @ tc_nat @ tc_Message_Omsg ) @ SY1956 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV163 ) @ ( c_Message_Oanalz @ SY1956 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV163 ) @ ( c_Message_Oanalz @ SY1956 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1404]) ).
thf(2036,plain,
! [SV164: $i] :
( ( ! [SY1957: $i,SY1958: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV164 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SY1957 @ tc_nat @ tc_Message_Omsg ) @ SY1958 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV164 ) @ ( c_Message_Oanalz @ SY1958 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV164 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SY1957 @ tc_nat @ tc_Message_Omsg ) @ SY1958 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1405]) ).
thf(2037,plain,
! [SV165: $i] :
( ( ! [SY1959: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV165 ) @ SY1959 ) ) ) @ ( c_Event_OinitState @ SY1959 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1406]) ).
thf(2038,plain,
! [SV166: $i] :
( ( ! [SY1960: $i,SY1961: $i,SY1962: $i] :
( ~ ( class_Orderings_Olinorder @ SV166 )
| ( c_lessequals @ SY1960 @ SY1961 @ SV166 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY1960 @ ( c_List_Olist_OCons @ SY1961 @ SY1962 @ SV166 ) @ SV166 ) @ SV166 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1407]) ).
thf(2039,plain,
! [SV167: $i] :
( ( ! [SY1963: $i,SY1964: $i,SY1965: $i] :
( ~ ( class_Orderings_Olinorder @ SV167 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY1963 @ ( c_List_Olist_OCons @ SY1964 @ SY1965 @ SV167 ) @ SV167 ) @ SV167 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY1964 @ SY1965 @ SV167 ) @ SV167 )
| ~ ( c_lessequals @ SY1963 @ SY1964 @ SV167 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1408]) ).
thf(2040,plain,
! [SV168: $i] :
( ( ! [SY1966: $i,SY1967: $i] :
( ( hBOOL @ ( c_in @ SV168 @ ( c_Message_Osynth @ SY1966 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV168 @ SY1967 ) @ SY1966 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV168 @ SY1967 ) @ ( c_Message_Osynth @ SY1966 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1409]) ).
thf(2041,plain,
! [SV169: $i] :
( ( ! [SY1968: $i,SY1969: $i] :
( ( hBOOL @ ( c_in @ SV169 @ ( c_Message_Osynth @ SY1968 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SY1969 @ SV169 ) @ SY1968 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SY1969 @ SV169 ) @ ( c_Message_Osynth @ SY1968 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1410]) ).
thf(2042,plain,
! [SV170: $i] :
( ( ! [SY1970: $i,SY1971: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV170 @ SY1970 ) @ ( c_Message_Osynth @ SY1971 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY1970 @ ( c_Message_Osynth @ SY1971 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV170 @ ( c_Message_Osynth @ SY1971 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1411]) ).
thf(2043,plain,
! [SV171: $i] :
( ( ~ ( hBOOL @ ( c_in @ SV171 @ ( 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)],[1412]) ).
thf(2044,plain,
! [SV172: $i] :
( ( ! [SY1972: $i,SY1973: $i] :
( ( hBOOL @ ( c_in @ SV172 @ ( c_Message_Oparts @ SY1972 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV172 @ ( c_Message_Oparts @ SY1973 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV172 @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1973 @ SY1972 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1413]) ).
thf(2045,plain,
! [SV173: $i] :
( ( ! [SY1974: $i,SY1975: $i] :
( ( hBOOL @ ( c_in @ SV173 @ ( c_Message_Osynth @ SY1974 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SY1975 @ SV173 ) @ SY1974 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SY1975 @ SV173 ) @ ( c_Message_Osynth @ SY1974 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1414]) ).
thf(2046,plain,
! [SV174: $i] :
( ( ! [SY1976: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV174 ) @ SY1976 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV174 ) @ ( c_Message_Osynth @ SY1976 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1415]) ).
thf(2047,plain,
! [SV175: $i] :
( ( ! [SY1977: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV175 ) @ ( c_Message_Osynth @ SY1977 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV175 ) @ SY1977 @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1416]) ).
thf(2048,plain,
! [SV176: $i] :
( ( ! [SY1978: $i,SY1979: $i] :
( ( hBOOL @ ( c_in @ SV176 @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY1978 @ SY1979 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV176 @ ( c_Message_Oanalz @ SY1979 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1417]) ).
thf(2049,plain,
! [SV177: $i] :
( ( ~ ( class_Orderings_Otop @ SV177 )
| ( ( hAPP @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ t_a @ SV177 ) ) @ v_x )
= ( c_Orderings_Otop__class_Otop @ SV177 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1418]) ).
thf(2050,plain,
! [SV178: $i] :
( ( ! [SY1980: $i,SY1981: $i] :
( ( hBOOL @ ( c_in @ SV178 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY1980 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SY1981 @ SV178 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY1980 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SY1981 ) ) @ ( c_Message_Oanalz @ SY1980 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SY1981 ) @ ( c_Message_Oanalz @ SY1980 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1419]) ).
thf(2051,plain,
! [SV179: $i] :
( ( ! [SY1982: $i,SY1983: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV179 @ SY1982 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY1983 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY1982 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY1983 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV179 ) ) @ ( c_Message_Oanalz @ SY1983 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV179 ) @ ( c_Message_Oanalz @ SY1983 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1420]) ).
thf(2052,plain,
! [SV180: $i] :
( ( ( c_Message_Oparts @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV180 @ tc_nat @ tc_Message_Omsg ) )
= ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV180 @ tc_nat @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1421]) ).
thf(2053,plain,
! [SV181: $i] :
( ( ! [SY1984: $i] : ( hBOOL @ ( c_in @ ( c_Message_Omsg_OAgent @ SV181 ) @ ( c_Message_Osynth @ SY1984 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1422]) ).
thf(2054,plain,
! [SV182: $i] :
( ( ! [SY1985: $i] : ( hBOOL @ ( c_in @ ( c_Message_Omsg_OAgent @ SV182 ) @ ( c_Message_Osynth @ SY1985 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1423]) ).
thf(2055,plain,
! [SV183: $i] :
( ( ! [SY1986: $i,SY1987: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV183 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SY1986 @ tc_nat @ tc_Message_Omsg ) @ SY1987 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV183 ) @ ( c_Message_Oanalz @ SY1987 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV183 @ SY1986 @ tc_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1424]) ).
thf(2056,plain,
! [SV184: $i] :
( ( ! [SY1988: $i,SY1989: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV184 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SY1988 @ tc_nat @ tc_Message_Omsg ) @ SY1989 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV184 @ SY1988 @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV184 ) @ ( c_Message_Oanalz @ SY1989 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1425]) ).
thf(2057,plain,
! [SV185: $i] :
( ( ! [SY1990: $i,SY1991: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV185 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SY1990 @ tc_nat @ tc_Message_Omsg ) @ SY1991 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV185 @ SY1990 @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV185 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SY1990 @ tc_nat @ tc_Message_Omsg ) @ SY1991 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1426]) ).
thf(2058,plain,
! [SV186: $i] :
( ( ! [SY1992: $i,SY1993: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV186 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SY1992 @ tc_nat @ tc_Message_Omsg ) @ SY1993 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV186 @ SY1992 @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV186 @ SY1992 @ tc_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1427]) ).
thf(2059,plain,
! [SV187: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV187 @ tc_nat @ tc_Message_Omsg ) )
= ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV187 @ tc_nat @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1428]) ).
thf(2060,plain,
! [SV188: $i] :
( ( ! [SY1994: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV188 ) @ SY1994 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV188 ) @ ( c_Message_Osynth @ SY1994 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1429]) ).
thf(2061,plain,
! [SV189: $i] :
( ( ! [SY1995: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV189 ) @ SY1995 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV189 ) @ ( c_Message_Osynth @ SY1995 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1430]) ).
thf(2062,plain,
! [SV190: $i] :
( ( ! [SY1996: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV190 ) @ ( c_Message_Osynth @ SY1996 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV190 ) @ SY1996 @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1431]) ).
thf(2063,plain,
! [SV191: $i] :
( ( ! [SY1997: $i,SY1998: $i] :
( ( hBOOL @ ( c_in @ SV191 @ ( c_Message_Osynth @ SY1997 ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SY1998 @ ( c_Message_Osynth @ SY1997 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV191 @ ( c_Message_Osynth @ SY1998 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1432]) ).
thf(2064,plain,
! [SV192: $i] :
( ( ! [SY1999: $i] : ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ SV192 ) @ ( c_Message_Oparts @ SY1999 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV192 @ SY1999 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1433]) ).
thf(2065,plain,
! [SV193: $i] :
( ( ! [SY2000: $i] : ( c_lessequals @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV193 @ SY2000 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ SV193 ) @ ( c_Message_Oparts @ SY2000 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1434]) ).
thf(2066,plain,
! [SV194: $i] :
( ( ! [SY2001: $i] :
( ( c_lessequals @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV194 ) ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY2001 ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ SV194 @ SY2001 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1435]) ).
thf(2067,plain,
! [SV195: $i] :
( ( ! [SY2002: $i] : ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oanalz @ SV195 ) @ ( c_Message_Oanalz @ SY2002 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV195 @ SY2002 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1436]) ).
thf(2068,plain,
! [SV196: $i] :
( ( ! [SY2003: $i,SY2004: $i,SY2005: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV196 @ SY2003 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2004 @ SY2005 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oanalz @ SY2003 ) @ ( c_Message_Oanalz @ SY2005 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oanalz @ SV196 ) @ ( c_Message_Oanalz @ SY2004 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1437]) ).
thf(2069,plain,
! [SV197: $i] :
( ( ! [SY2006: $i] : ( c_lessequals @ ( c_Event_OinitState @ SV197 ) @ ( c_Event_Oknows @ SV197 @ SY2006 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1438]) ).
thf(2070,plain,
! [SV198: $i] :
( ( c_lessequals @ ( c_Event_Oused @ ( c_List_Olist_ONil @ tc_Event_Oevent ) ) @ ( c_Event_Oused @ SV198 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1441]) ).
thf(2071,plain,
! [SV199: $i] :
( ( ( hBOOL @ ( c_in @ SV199 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ SV199 ) @ c_Message_OsymKeys @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1443]) ).
thf(2072,plain,
! [SV200: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ SV200 ) @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV200 @ c_Message_OsymKeys @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1444]) ).
thf(2073,plain,
! [SV201: $i] :
( ( ( ( hAPP @ c_Message_OinvKey @ SV201 )
= SV201 )
| ~ ( hBOOL @ ( c_in @ SV201 @ c_Message_OsymKeys @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1445]) ).
thf(2074,plain,
! [SV202: $i] :
( ( ! [SY2007: $i,SY2008: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV202 ) @ SY2007 @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV202 @ SY2008 ) @ SY2007 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV202 @ SY2008 ) @ ( c_Message_Osynth @ SY2007 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1446]) ).
thf(2075,plain,
! [SV203: $i] :
( ( ! [SY2009: $i,SY2010: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV203 @ SY2009 ) @ ( c_Message_Osynth @ SY2010 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV203 ) @ SY2010 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY2009 @ ( c_Message_Osynth @ SY2010 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1447]) ).
thf(2076,plain,
! [SV204: $i] :
( ( ! [SY2011: $i,SY2012: $i,SY2013: $i] :
( ( hBOOL @ ( c_in @ SV204 @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2011 @ SY2012 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY2013 @ ( c_Message_Oparts @ SY2012 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV204 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SY2013 @ SY2011 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1448]) ).
thf(2077,plain,
! [SV205: $i] :
( ( ! [SY2014: $i] :
( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ SV205 @ SY2014 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ SV205 @ ( c_Message_Oparts @ SY2014 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Osko__Message__Xparts__insert__eq__I__1__1 @ SY2014 @ SV205 ) @ ( c_Set_Oinsert @ SV205 @ ( c_Message_Oparts @ SY2014 ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1449]) ).
thf(2078,plain,
! [SV206: $i] :
( ( ! [SY2015: $i] :
( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ SV206 @ SY2015 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ SV206 @ ( c_Message_Oparts @ SY2015 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Osko__Message__Xparts__insert__eq__I__1__1 @ SY2015 @ SV206 ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV206 @ SY2015 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1450]) ).
thf(2079,plain,
! [SV207: $i] :
( ( ! [SY2016: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV207 @ SY2016 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ SV207 @ ( c_Message_Oanalz @ SY2016 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Osko__Message__Xanalz__insert__eq__I__1__1 @ SY2016 @ SV207 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV207 @ SY2016 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1451]) ).
thf(2080,plain,
! [SV208: $i] :
( ( ! [SY2017: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV208 @ SY2017 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ SV208 @ ( c_Message_Oanalz @ SY2017 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Osko__Message__Xanalz__insert__eq__I__1__1 @ SY2017 @ SV208 ) @ ( c_Set_Oinsert @ SV208 @ ( c_Message_Oanalz @ SY2017 ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1452]) ).
thf(2081,plain,
! [SV209: $i] :
( ( ! [SY2018: $i] :
( ( ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV209 @ SY2018 @ tc_Message_Omsg ) ) )
= ( c_Message_Osynth @ ( c_Message_Oanalz @ SY2018 ) ) )
| ~ ( hBOOL @ ( c_in @ SV209 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY2018 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1453]) ).
thf(2082,plain,
! [SV210: $i] :
( ( ! [SY2019: $i] :
~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV210 ) @ ( c_Message_Oparts @ ( c_Event_OinitState @ SY2019 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1454]) ).
thf(2083,plain,
! [SV211: $i] :
( ( ! [SY2020: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV211 ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SY2020 @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV211 @ SY2020 @ tc_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1455]) ).
thf(2084,plain,
! [SV212: $i] :
( ( ! [SY2021: $i] :
( ( hBOOL @ ( c_in @ SV212 @ SY2021 @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV212 ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SY2021 @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1456]) ).
thf(2085,plain,
! [SV213: $i] :
( ( ! [SY2022: $i] :
~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV213 ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SY2022 @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1457]) ).
thf(2086,plain,
! [SV214: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV214 ) ) @ ( c_Event_OinitState @ SV214 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1458]) ).
thf(2087,plain,
! [SV215: $i] :
( ( ! [SY2023: $i,SY2024: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ ( c_Public_OpublicKey @ SV215 ) @ SY2023 ) ) @ ( c_Event_OinitState @ SY2024 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1459]) ).
thf(2088,plain,
! [SV216: $i] :
( ( ! [SY2025: $i,SY2026: $i] :
( ( hBOOL @ ( c_in @ SV216 @ ( c_Event_Oused @ SY2025 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV216 @ ( c_Message_Oparts @ ( c_Event_OinitState @ SY2026 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1460]) ).
thf(2089,plain,
! [SV217: $i] :
( ( ! [SY2027: $i] :
~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV217 @ SY2027 ) @ ( c_Event_Oused @ ( c_List_Olist_ONil @ tc_Event_Oevent ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1461]) ).
thf(2090,plain,
! [SV218: $i] :
( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ ( c_Public_Osko__Public__XNonce__supply1__1__1 @ SV218 ) ) @ ( c_Event_Oused @ SV218 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1462]) ).
thf(2091,plain,
! [SV219: $i] :
( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV219 ) @ ( c_Event_Oused @ ( c_List_Olist_ONil @ tc_Event_Oevent ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1463]) ).
thf(2092,plain,
! [SV220: $i] :
( ( ! [SY2028: $i,SY2029: $i,SY2030: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV220 ) @ SY2028 ) ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SY2029 ) @ SY2030 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1464]) ).
thf(2093,plain,
! [SV221: $i] :
( ( ! [SY2031: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV221 ) @ SY2031 ) ) @ c_Message_OsymKeys @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1465]) ).
thf(2094,plain,
! [SV222: $i] :
( ( ! [SY2032: $i,SY2033: $i,SY2034: $i] :
( ~ ( class_Orderings_Olinorder @ SV222 )
| ( c_lessequals @ SY2032 @ SY2033 @ SV222 )
| ~ ( hBOOL @ ( c_in @ SY2033 @ ( c_List_Oset @ SY2034 @ SV222 ) @ SV222 ) )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY2032 @ SY2034 @ SV222 ) @ SV222 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1467]) ).
thf(2095,plain,
! [SV223: $i] :
( ( ! [SY2035: $i,SY2036: $i] :
( ( hBOOL @ ( c_in @ SV223 @ ( c_Message_Oanalz @ SY2035 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SY2036 ) ) @ ( c_Message_Oanalz @ SY2035 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SY2036 @ SV223 ) @ ( c_Message_Oanalz @ SY2035 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1468]) ).
thf(2096,plain,
! [SV224: $i] :
( ( ! [SY2037: $i,SY2038: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV224 @ SY2037 @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ SY2038 ) @ ( c_Message_Oparts @ SY2037 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV224 @ SY2038 @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1469]) ).
thf(2097,plain,
! [SV225: $i] :
( ( ! [SY2039: $i,SY2040: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ SV225 ) @ ( c_Message_OkeysFor @ SY2039 ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV225 @ SY2040 ) @ SY2039 @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1470]) ).
thf(2098,plain,
! [SV226: $i] :
( ( ! [SY2041: $i,SY2042: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV226 ) @ SY2041 ) ) ) @ ( c_Event_Oused @ SY2042 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1471]) ).
thf(2099,plain,
! [SV227: $i] :
( ( ! [SY2043: $i,SY2044: $i] :
( ( hBOOL @ ( c_in @ SV227 @ ( c_Event_OinitState @ SY2043 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SY2043 @ SV227 ) @ ( c_List_Oset @ SY2044 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_OGets @ SY2043 @ SV227 ) @ ( c_List_Oset @ SY2044 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY2043 @ ( c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1 @ SY2043 @ SV227 @ SY2044 ) @ SV227 ) @ ( c_List_Oset @ SY2044 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SY2043 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( c_in @ SV227 @ ( c_Event_Oknows @ SY2043 @ SY2044 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1472]) ).
thf(2100,plain,
! [SV228: $i] :
( ( ! [SY2045: $i,SY2046: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV228 ) @ SY2045 ) ) @ ( c_Set_Oimage @ c_Public_OshrK @ SY2046 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1473]) ).
thf(2101,plain,
! [SV229: $i] :
( ( ! [SY2047: $i,SY2048: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV229 @ SY2047 ) @ SY2048 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV229 @ SY2047 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SY2047 @ SY2048 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV229 ) ) @ ( c_Message_Oanalz @ SY2048 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1474]) ).
thf(2102,plain,
! [SV230: $i] :
( ( ! [SY2049: $i,SY2050: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV230 @ SY2049 ) @ SY2050 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV230 @ SY2049 ) @ ( c_Message_Oanalz @ SY2050 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV230 ) ) @ ( c_Message_Oanalz @ SY2050 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1475]) ).
thf(2103,plain,
! [SV231: $i] :
( ( ! [SY2051: $i,SY2052: $i,SY2053: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV231 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SY2051 @ SY2052 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV231 ) @ ( c_Message_Oanalz @ SY2052 ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SY2053 @ SY2052 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SY2051 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY2053 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1476]) ).
thf(2104,plain,
! [SV232: $i] :
( ( ! [SY2054: $i,SY2055: $i,SY2056: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV232 ) @ ( c_Message_Oanalz @ SY2054 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV232 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SY2055 @ SY2054 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SY2056 @ SY2054 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SY2055 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY2056 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1477]) ).
thf(2105,plain,
! [SV233: $i] :
( ( ! [SY2057: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV233 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Event_Oused @ SY2057 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV233 @ ( c_Event_Oused @ SY2057 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1478]) ).
thf(2106,plain,
! [SV234: $i] :
( ( ! [SY2058: $i,SY2059: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV234 @ SY2058 ) @ SY2059 @ tc_Message_Omsg ) ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV234 @ SY2058 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SY2058 @ SY2059 @ 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 @ SV234 ) ) @ ( c_Message_Oanalz @ SY2059 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1479]) ).
thf(2107,plain,
! [SV235: $i] :
( ( ! [SY2060: $i,SY2061: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV235 @ SY2060 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SY2060 @ SY2061 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV235 @ SY2060 ) @ SY2061 @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV235 ) ) @ ( c_Message_Oanalz @ SY2061 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1480]) ).
thf(2108,plain,
! [SV236: $i] :
( ( ! [SY2062: $i,SY2063: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV236 ) @ SY2062 ) ) ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2063 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY2062 @ c_Event_Obad @ tc_Message_Oagent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1481]) ).
thf(2109,plain,
! [SV237: $i] :
( ( ! [SY2064: $i,SY2065: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ SV237 @ SY2064 ) @ SY2065 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ SY2064 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2065 ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SY2065 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1482]) ).
thf(2110,plain,
! [SV238: $i] :
( ( ! [SY2066: $i,SY2067: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ SV238 @ SY2066 ) @ SY2067 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ SY2066 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2067 ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY2067 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1483]) ).
thf(2111,plain,
! [SV239: $i] :
( ( ! [SY2068: $i,SY2069: $i] :
( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV239 @ SY2068 ) @ SY2069 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SY2068 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2069 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV239 @ c_Event_Obad @ tc_Message_Oagent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1484]) ).
thf(2112,plain,
! [SV240: $i] :
( ( ! [SY2070: $i,SY2071: $i] :
( ( ( c_Event_Oknows @ SV240 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV240 @ SY2070 ) @ SY2071 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SY2070 @ ( c_Event_Oknows @ SV240 @ SY2071 ) @ tc_Message_Omsg ) )
| ( SV240 = c_Message_Oagent_OSpy ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1485]) ).
thf(2113,plain,
! [SV241: $i] :
( ( ! [SY2072: $i,SY2073: $i,SY2074: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV241 @ SY2072 @ SY2073 ) @ SY2074 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SY2073 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2074 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1486]) ).
thf(2114,plain,
! [SV242: $i] :
( ( ! [SY2075: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV242 ) @ SY2075 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV242 ) @ ( c_Message_Oanalz @ SY2075 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV242 @ ( c_Message_OkeysFor @ ( c_Message_Oanalz @ SY2075 ) ) @ tc_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1487]) ).
thf(2115,plain,
! [SV243: $i] :
( ( ! [SY2076: $i,SY2077: $i] :
( ( c_Event_Oknows @ SV243 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV243 @ SY2076 ) @ SY2077 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SY2076 @ ( c_Event_Oknows @ SV243 @ SY2077 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1488]) ).
thf(2116,plain,
! [SV244: $i] :
( ( ! [SY2078: $i,SY2079: $i,SY2080: $i] :
( ( c_Event_Oknows @ SV244 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV244 @ SY2078 @ SY2079 ) @ SY2080 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SY2079 @ ( c_Event_Oknows @ SV244 @ SY2080 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1489]) ).
thf(2117,plain,
! [SV245: $i] :
( ( ! [SY2081: $i,SY2082: $i] : ( c_lessequals @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV245 @ SY2081 ) @ SY2082 @ tc_Message_Omsg ) ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV245 @ SY2081 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SY2081 @ SY2082 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1490]) ).
thf(2118,plain,
! [SV246: $i] :
( ( ! [SY2083: $i,SY2084: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV246 @ SY2083 @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ SY2083 ) )
| ~ ( c_lessequals @ SY2084 @ SY2083 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV246 @ ( c_Message_Oanalz @ SY2084 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1491]) ).
thf(2119,plain,
! [SV247: $i] :
( ( ! [SY2085: $i] :
( ( c_Message_OkeysFor @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ SV247 ) @ SY2085 @ tc_Message_Omsg ) )
= ( c_Message_OkeysFor @ SY2085 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1492]) ).
thf(2120,plain,
! [SV248: $i] :
( ( ! [SY2086: $i] :
( ( c_Message_OkeysFor @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ SV248 ) @ SY2086 @ tc_Message_Omsg ) )
= ( c_Message_OkeysFor @ SY2086 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1493]) ).
thf(2121,plain,
! [SV249: $i] :
( ( ! [SY2087: $i] :
( ( c_Message_OkeysFor @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV249 ) @ SY2087 @ tc_Message_Omsg ) )
= ( c_Message_OkeysFor @ SY2087 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1494]) ).
thf(2122,plain,
! [SV250: $i] :
( ( ! [SY2088: $i,SY2089: $i] :
( ( c_Message_OkeysFor @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV250 @ SY2088 ) @ SY2089 @ tc_Message_Omsg ) )
= ( c_Message_OkeysFor @ SY2089 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1495]) ).
thf(2123,plain,
! [SV251: $i] :
( ( ! [SY2090: $i] : ( c_lessequals @ ( c_Set_Oinsert @ SV251 @ ( c_Message_Oanalz @ SY2090 ) @ tc_Message_Omsg ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV251 @ SY2090 @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1496]) ).
thf(2124,plain,
! [SV252: $i] :
( ( ! [SY2091: $i] : ( c_lessequals @ ( c_Set_Oinsert @ SV252 @ ( c_Message_Oparts @ SY2091 ) @ tc_Message_Omsg ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV252 @ SY2091 @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1497]) ).
thf(2125,plain,
! [SV253: $i] :
( ( ! [SY2092: $i] :
( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ SV253 ) @ SY2092 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ SV253 ) @ ( c_Message_Oanalz @ SY2092 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1498]) ).
thf(2126,plain,
! [SV254: $i] :
( ( ! [SY2093: $i,SY2094: $i] :
( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV254 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ SY2093 ) @ SY2094 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ SY2093 ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV254 ) @ SY2094 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1499]) ).
thf(2127,plain,
! [SV255: $i] :
( ( ! [SY2095: $i,SY2096: $i,SY2097: $i] :
( ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV255 @ SY2095 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ SY2096 ) @ SY2097 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ SY2096 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV255 @ SY2095 ) @ SY2097 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1500]) ).
thf(2128,plain,
! [SV256: $i] :
( ( ! [SY2098: $i] :
( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ SV256 ) @ SY2098 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ SV256 ) @ ( c_Message_Oanalz @ SY2098 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1501]) ).
thf(2129,plain,
! [SV257: $i] :
( ( ! [SY2099: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ SV257 ) @ SY2099 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ SV257 ) @ ( c_Message_Oparts @ SY2099 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1502]) ).
thf(2130,plain,
! [SV258: $i] :
( ( ! [SY2100: $i,SY2101: $i] :
( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV258 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ SY2100 ) @ SY2101 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ SY2100 ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV258 ) @ SY2101 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1503]) ).
thf(2131,plain,
! [SV259: $i] :
( ( ! [SY2102: $i,SY2103: $i,SY2104: $i] :
( ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV259 @ SY2102 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ SY2103 ) @ SY2104 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ SY2103 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV259 @ SY2102 ) @ SY2104 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1504]) ).
thf(2132,plain,
! [SV260: $i] :
( ( ! [SY2105: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ SV260 ) @ SY2105 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ SV260 ) @ ( c_Message_Oparts @ SY2105 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1505]) ).
thf(2133,plain,
! [SV261: $i] :
( ( ! [SY2106: $i,SY2107: $i,SY2108: $i] :
( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV261 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SY2106 @ SY2107 ) @ SY2108 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SY2106 @ SY2107 ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV261 ) @ SY2108 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1506]) ).
thf(2134,plain,
! [SV262: $i] :
( ( ! [SY2109: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV262 ) @ SY2109 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV262 ) @ ( c_Message_Oparts @ SY2109 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1507]) ).
thf(2135,plain,
! [SV263: $i] :
( ( ! [SY2110: $i,SY2111: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV263 @ SY2110 ) @ SY2111 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV263 @ SY2110 ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SY2110 @ SY2111 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1508]) ).
thf(2136,plain,
! [SV264: $i] :
( ( ! [SY2112: $i,SY2113: $i] :
( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV264 @ SY2112 ) @ SY2113 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV264 @ SY2112 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV264 @ ( c_Set_Oinsert @ SY2112 @ SY2113 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1509]) ).
thf(2137,plain,
! [SV265: $i] :
( ( ! [SY2114: $i,SY2115: $i,SY2116: $i] :
( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV265 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SY2114 @ SY2115 ) @ SY2116 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SY2114 @ SY2115 ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV265 ) @ SY2116 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1510]) ).
thf(2138,plain,
! [SV266: $i] :
( ( ! [SY2117: $i,SY2118: $i] :
( ( hBOOL @ ( c_in @ SV266 @ ( c_Message_Oanalz @ SY2117 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY2118 @ ( c_Message_Oanalz @ SY2117 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV266 @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SY2118 @ SY2117 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1511]) ).
thf(2139,plain,
! [SV267: $i] :
( ( ! [SY2119: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV267 @ SY2119 @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ SY2119 ) )
| ~ ( hBOOL @ ( c_in @ SV267 @ ( c_Message_Oanalz @ SY2119 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1512]) ).
thf(2140,plain,
! [SV268: $i] :
( ( ! [SY2120: $i,SY2121: $i] :
( ( hBOOL @ ( c_in @ SV268 @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SY2120 @ SY2121 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV268 @ ( c_Message_Oanalz @ SY2121 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1513]) ).
thf(2141,plain,
! [SV269: $i] :
( ( ! [SY2122: $i,SY2123: $i,SY2124: $i,SY2125: $i] :
( ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV269 @ SY2122 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SY2123 @ SY2124 ) @ SY2125 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SY2123 @ SY2124 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV269 @ SY2122 ) @ SY2125 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1514]) ).
thf(2142,plain,
! [SV270: $i] :
( ( ! [SY2126: $i,SY2127: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV270 @ SY2126 ) @ SY2127 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV270 @ SY2126 ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV270 @ ( c_Set_Oinsert @ SY2126 @ SY2127 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1515]) ).
thf(2143,plain,
! [SV271: $i] :
( ( ! [SY2128: $i,SY2129: $i] :
( ( hBOOL @ ( c_in @ SV271 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SY2128 @ SY2129 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV271 @ ( c_Message_Oparts @ SY2129 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1516]) ).
thf(2144,plain,
! [SV272: $i] :
( ( ! [SY2130: $i] :
( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ SV272 @ SY2130 @ tc_Message_Omsg ) )
= ( c_Message_Oparts @ SY2130 ) )
| ~ ( hBOOL @ ( c_in @ SV272 @ ( c_Message_Oparts @ SY2130 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1517]) ).
thf(2145,plain,
! [SV273: $i] :
( ( ! [SY2131: $i,SY2132: $i] :
( ( c_List_Oset @ ( c_List_Olist_OCons @ SV273 @ SY2131 @ SY2132 ) @ SY2132 )
= ( c_Set_Oinsert @ SV273 @ ( c_List_Oset @ SY2131 @ SY2132 ) @ SY2132 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1518]) ).
thf(2146,plain,
! [SV274: $i] :
( ( ! [SY2133: $i,SY2134: $i,SY2135: $i,SY2136: $i] :
( ( ( c_Set_Oinsert @ ( hAPP @ SV274 @ SY2133 ) @ ( c_Set_Oimage @ SV274 @ SY2134 @ SY2135 @ SY2136 ) @ SY2136 )
= ( c_Set_Oimage @ SV274 @ SY2134 @ SY2135 @ SY2136 ) )
| ~ ( hBOOL @ ( c_in @ SY2133 @ SY2134 @ SY2135 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1519]) ).
thf(2147,plain,
! [SV275: $i] :
( ( ! [SY2137: $i,SY2138: $i,SY2139: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ SV275 @ SY2137 @ SY2138 ) @ SY2139 @ ( tc_fun @ SY2138 @ tc_bool ) )
| ~ ( c_lessequals @ SY2137 @ SY2139 @ ( tc_fun @ SY2138 @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV275 @ SY2139 @ SY2138 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1520]) ).
thf(2148,plain,
! [SV276: $i] :
( ( ! [SY2140: $i,SY2141: $i,SY2142: $i] :
( ( hBOOL @ ( c_in @ SV276 @ SY2140 @ SY2141 ) )
| ~ ( c_lessequals @ ( c_Set_Oinsert @ SV276 @ SY2142 @ SY2141 ) @ SY2140 @ ( tc_fun @ SY2141 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1521]) ).
thf(2149,plain,
! [SV277: $i] :
( ( ! [SY2143: $i,SY2144: $i,SY2145: $i] :
( ( c_lessequals @ SV277 @ ( c_Set_Oinsert @ SY2143 @ SY2144 @ SY2145 ) @ ( tc_fun @ SY2145 @ tc_bool ) )
| ~ ( c_lessequals @ SV277 @ SY2144 @ ( tc_fun @ SY2145 @ tc_bool ) )
| ( hBOOL @ ( c_in @ SY2143 @ SV277 @ SY2145 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1522]) ).
thf(2150,plain,
! [SV278: $i] :
( ( ! [SY2146: $i,SY2147: $i,SY2148: $i] :
( ( c_lessequals @ SV278 @ SY2146 @ ( tc_fun @ SY2147 @ tc_bool ) )
| ( hBOOL @ ( c_in @ SY2148 @ SV278 @ SY2147 ) )
| ~ ( c_lessequals @ SV278 @ ( c_Set_Oinsert @ SY2148 @ SY2146 @ SY2147 ) @ ( tc_fun @ SY2147 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1523]) ).
thf(2151,plain,
! [SV279: $i] :
( ( ! [SY2149: $i,SY2150: $i,SY2151: $i] :
( ( c_lessequals @ SV279 @ ( c_Set_Oinsert @ SY2149 @ SY2150 @ SY2151 ) @ ( tc_fun @ SY2151 @ tc_bool ) )
| ~ ( c_lessequals @ SV279 @ SY2150 @ ( tc_fun @ SY2151 @ tc_bool ) )
| ( hBOOL @ ( c_in @ SY2149 @ SV279 @ SY2151 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1524]) ).
thf(2152,plain,
! [SV280: $i] :
( ( ! [SY2152: $i,SY2153: $i,SY2154: $i] :
( ( c_lessequals @ SV280 @ SY2152 @ ( tc_fun @ SY2153 @ tc_bool ) )
| ~ ( c_lessequals @ SV280 @ ( c_Set_Oinsert @ SY2154 @ SY2152 @ SY2153 ) @ ( tc_fun @ SY2153 @ tc_bool ) )
| ( hBOOL @ ( c_in @ SY2154 @ SV280 @ SY2153 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1525]) ).
thf(2153,plain,
! [SV281: $i] :
( ( ! [SY2155: $i,SY2156: $i,SY2157: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ SV281 @ SY2155 @ SY2156 ) @ ( c_Set_Oinsert @ SV281 @ SY2157 @ SY2156 ) @ ( tc_fun @ SY2156 @ tc_bool ) )
| ~ ( c_lessequals @ SY2155 @ SY2157 @ ( tc_fun @ SY2156 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1526]) ).
thf(2154,plain,
! [SV282: $i] :
( ( ! [SY2158: $i,SY2159: $i] : ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV282 @ SY2158 @ SY2159 ) @ SV282 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1527]) ).
thf(2155,plain,
! [SV283: $i] :
( ( ! [SY2160: $i,SY2161: $i,SY2162: $i,SY2163: $i] :
( ( c_Set_Oimage @ SV283 @ ( c_Set_Oinsert @ SY2160 @ SY2161 @ SY2162 ) @ SY2162 @ SY2163 )
= ( c_Set_Oinsert @ ( hAPP @ SV283 @ SY2160 ) @ ( c_Set_Oimage @ SV283 @ SY2161 @ SY2162 @ SY2163 ) @ SY2163 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1528]) ).
thf(2156,plain,
! [SV284: $i] :
( ( ! [SY2164: $i,SY2165: $i] : ( c_lessequals @ SV284 @ ( c_Set_Oinsert @ SY2164 @ SV284 @ SY2165 ) @ ( tc_fun @ SY2165 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1529]) ).
thf(2157,plain,
! [SV285: $i] :
( ( ! [SY2166: $i,SY2167: $i,SY2168: $i] :
( ( hBOOL @ ( hAPP @ SV285 @ SY2166 ) )
| ( SY2167 = SY2166 )
| ~ ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SY2167 @ SV285 @ SY2168 ) @ SY2166 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1530]) ).
thf(2158,plain,
! [SV286: $i] :
( ( ! [SY2169: $i,SY2170: $i] :
( ( c_Set_Oinsert @ SV286 @ ( c_Set_Oinsert @ SV286 @ SY2169 @ SY2170 ) @ SY2170 )
= ( c_Set_Oinsert @ SV286 @ SY2169 @ SY2170 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1531]) ).
thf(2159,plain,
! [SV287: $i] :
( ( ! [SY2171: $i,SY2172: $i,SY2173: $i] :
( ( c_lessequals @ SV287 @ ( c_Set_Oinsert @ SY2171 @ SY2172 @ SY2173 ) @ ( tc_fun @ SY2173 @ tc_bool ) )
| ~ ( c_lessequals @ SV287 @ SY2172 @ ( tc_fun @ SY2173 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1532]) ).
thf(2160,plain,
! [SV288: $i] :
( ( ! [SY2174: $i,SY2175: $i,SY2176: $i] :
( ( c_lessequals @ SV288 @ SY2174 @ ( tc_fun @ SY2175 @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Set_Oinsert @ SY2176 @ SV288 @ SY2175 ) @ SY2174 @ ( tc_fun @ SY2175 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1533]) ).
thf(2161,plain,
! [SV289: $i] :
( ( ! [SY2177: $i,SY2178: $i,SY2179: $i] :
( ( c_Set_Oinsert @ SV289 @ ( c_Set_Oinsert @ SY2177 @ SY2178 @ SY2179 ) @ SY2179 )
= ( c_Set_Oinsert @ SY2177 @ ( c_Set_Oinsert @ SV289 @ SY2178 @ SY2179 ) @ SY2179 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1534]) ).
thf(2162,plain,
! [SV290: $i] :
( ( ! [SY2180: $i,SY2181: $i,SY2182: $i] :
( ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV290 @ SY2180 @ SY2181 ) @ SY2182 ) )
| ~ ( hBOOL @ ( hAPP @ SY2180 @ SY2182 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1535]) ).
thf(2163,plain,
! [SV291: $i] :
( ( ! [SY2183: $i,SY2184: $i,SY2185: $i,SY2186: $i] :
( ( c_Set_Oinsert @ ( hAPP @ SV291 @ SY2183 ) @ ( c_Set_Oimage @ SV291 @ SY2184 @ SY2185 @ SY2186 ) @ SY2186 )
= ( c_Set_Oimage @ SV291 @ ( c_Set_Oinsert @ SY2183 @ SY2184 @ SY2185 ) @ SY2185 @ SY2186 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1536]) ).
thf(2164,plain,
! [SV292: $i] :
( ( ! [SY2187: $i,SY2188: $i,SY2189: $i] :
( ( hBOOL @ ( c_in @ SV292 @ ( c_Set_Oinsert @ SY2187 @ SY2188 @ SY2189 ) @ SY2189 ) )
| ~ ( hBOOL @ ( c_in @ SV292 @ SY2188 @ SY2189 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1537]) ).
thf(2165,plain,
! [SV293: $i] :
( ( ! [SY2190: $i,SY2191: $i,SY2192: $i] :
( ( hBOOL @ ( c_in @ SV293 @ ( c_Set_Oinsert @ SY2190 @ SY2191 @ SY2192 ) @ SY2192 ) )
| ~ ( hBOOL @ ( c_in @ SV293 @ SY2191 @ SY2192 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1538]) ).
thf(2166,plain,
! [SV294: $i] :
( ( ! [SY2193: $i,SY2194: $i,SY2195: $i] :
( ( hBOOL @ ( c_in @ SV294 @ SY2193 @ SY2194 ) )
| ( SV294 = SY2195 )
| ~ ( hBOOL @ ( c_in @ SV294 @ ( c_Set_Oinsert @ SY2195 @ SY2193 @ SY2194 ) @ SY2194 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1539]) ).
thf(2167,plain,
! [SV295: $i] :
( ( ! [SY2196: $i,SY2197: $i] : ( hBOOL @ ( c_in @ SV295 @ ( c_Set_Oinsert @ SV295 @ SY2196 @ SY2197 ) @ SY2197 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1540]) ).
thf(2168,plain,
! [SV296: $i] :
( ( ! [SY2198: $i,SY2199: $i] : ( hBOOL @ ( c_in @ SV296 @ ( c_Set_Oinsert @ SV296 @ SY2198 @ SY2199 ) @ SY2199 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1541]) ).
thf(2169,plain,
! [SV297: $i] :
( ( ! [SY2200: $i,SY2201: $i] : ( hBOOL @ ( c_in @ SV297 @ ( c_Set_Oinsert @ SV297 @ SY2200 @ SY2201 ) @ SY2201 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1542]) ).
thf(2170,plain,
! [SV298: $i] :
( ( ! [SY2202: $i,SY2203: $i] :
( ( ( c_Set_Oinsert @ SV298 @ SY2202 @ SY2203 )
= SY2202 )
| ~ ( hBOOL @ ( c_in @ SV298 @ SY2202 @ SY2203 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1544]) ).
thf(2171,plain,
! [SV299: $i] :
( ( ! [SY2204: $i] :
( ( hBOOL @ ( c_in @ SV299 @ ( 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 @ SY2204 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV299 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV299 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2204 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1546]) ).
thf(2172,plain,
! [SV300: $i] :
( ( ! [SY2205: $i,SY2206: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV300 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2205 ) ) @ tc_Message_Omsg ) )
| ( SV300 = SY2206 )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV300 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SY2206 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2205 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SY2206 @ ( 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 @ SY2205 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1547]) ).
thf(2173,plain,
! [SV301: $i] :
( ( ! [SY2207: $i,SY2208: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV301 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SY2207 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2208 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV301 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2208 ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SY2207 @ ( 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 @ SY2208 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1548]) ).
thf(2174,plain,
! [SV302: $i] :
( ( ! [SY2209: $i,SY2210: $i,SY2211: $i,SY2212: $i,SY2213: $i,SY2214: $i] :
( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV302 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2209 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY2209 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SY2210 @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ SY2211 @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SY2212 @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1 @ SV302 @ SY2212 @ SY2209 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV302 ) ) ) ) @ ( c_List_Oset @ SY2209 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY2211 @ ( c_Message_Omsg_OCrypt @ SY2213 @ ( c_Message_Omsg_OMPair @ SY2212 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2210 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV302 ) @ SY2214 ) ) ) ) ) @ ( c_List_Oset @ SY2209 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1549]) ).
thf(2175,plain,
! [SV303: $i] :
( ( ! [SY2215: $i,SY2216: $i,SY2217: $i,SY2218: $i] :
( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2215 ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SY2216 @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1 @ SV303 @ SY2216 @ SY2215 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) ) ) ) @ ( c_List_Oset @ SY2215 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SY2215 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SY2217 @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ SY2218 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY2218 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY2218 ) @ ( c_Message_Omsg_OMPair @ SY2216 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2217 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY2217 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) @ ( c_Message_Omsg_OAgent @ SY2218 ) ) ) ) ) ) ) ) @ ( c_List_Oset @ SY2215 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1550]) ).
thf(2176,plain,
! [SV304: $i] :
( ( ! [SY2219: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV304 ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2219 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV304 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ SY2219 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1551]) ).
thf(2177,plain,
! [SV305: $i] :
( ( ! [SY2220: $i,SY2221: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ ( c_Public_OpublicKey @ SV305 ) @ SY2220 ) ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2221 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1552]) ).
thf(2178,plain,
! [SV306: $i] :
( ( ! [SY2222: $i,SY2223: $i,SY2224: $i,SY2225: $i,SY2226: $i,SY2227: $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 @ SV306 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY2222 ) @ ( hAPP @ c_Message_Omsg_OKey @ SY2223 ) ) ) ) @ SY2224 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY2225 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY2225 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV306 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2226 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2223 ) @ SY2227 ) ) ) ) ) @ ( c_List_Oset @ SY2224 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY2226 @ SY2225 @ ( c_Message_Omsg_OCrypt @ SY2223 @ ( c_Message_Omsg_ONonce @ SY2222 ) ) ) @ ( c_List_Oset @ SY2224 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SY2224 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1553]) ).
thf(2179,plain,
! [SV307: $i] :
( ( ! [SY2228: $i,SY2229: $i,SY2230: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV307 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV307 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2228 ) @ ( c_Message_Omsg_ONonce @ SY2229 ) ) ) ) @ SY2230 @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SY2229 ) @ ( c_Event_Oused @ SY2230 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SY2230 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1554]) ).
thf(2180,plain,
! [SV308: $i] :
( ( ! [SY2231: $i,SY2232: $i,SY2233: $i,SY2234: $i,SY2235: $i] :
( ~ ( hBOOL @ ( c_in @ SV308 @ ( 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 @ SY2231 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SY2232 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY2232 ) @ ( c_Message_Omsg_OMPair @ SY2233 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2234 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV308 ) @ SY2235 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2231 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1555]) ).
thf(2181,plain,
! [SV309: $i] :
( ( ! [SY2236: $i,SY2237: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ ( c_Public_OpublicKey @ SV309 ) @ SY2236 ) ) @ ( c_Event_Oused @ SY2237 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1556]) ).
thf(2182,plain,
! [SV310: $i] :
( ( ! [SY2238: $i,SY2239: $i] :
( ( hBOOL @ ( c_in @ SV310 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2238 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY2239 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY2239 ) @ SV310 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2238 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1557]) ).
thf(2183,plain,
! [SV311: $i] :
( ( ! [SY2240: $i] :
( ~ ( hBOOL @ ( c_in @ SV311 @ ( 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 @ SV311 ) @ ( c_Event_Oused @ SY2240 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1558]) ).
thf(2184,plain,
! [SV312: $i] :
( ( ! [SY2241: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV312 ) ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2241 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV312 @ c_Event_Obad @ tc_Message_Oagent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1559]) ).
thf(2185,plain,
! [SV313: $i] :
( ( ! [SY2242: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV313 ) @ SY2242 ) @ c_Message_OsymKeys @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1560]) ).
thf(2186,plain,
! [SV314: $i] :
( ( ! [SY2243: $i,SY2244: $i,SY2245: $i] :
( ~ ( hBOOL @ ( c_in @ SV314 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2243 ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV314 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SY2244 @ SY2245 ) @ SY2243 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1561]) ).
thf(2187,plain,
! [SV315: $i] :
( ( ! [SY2246: $i,SY2247: $i,SY2248: $i] :
( ~ ( hBOOL @ ( c_in @ SV315 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2246 ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV315 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SY2247 @ SY2248 ) @ SY2246 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1562]) ).
thf(2188,plain,
! [SV316: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ SV316 ) @ ( c_Message_Oparts @ SV316 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1563]) ).
thf(2189,plain,
! [SV317: $i] :
( ( ! [SY2249: $i,SY2250: $i] :
( ( hBOOL @ ( c_in @ SV317 @ ( c_Message_Oanalz @ SY2249 ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SY2250 @ ( c_Message_Oanalz @ SY2249 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV317 @ ( c_Message_Oanalz @ SY2250 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1564]) ).
thf(2190,plain,
! [SV318: $i] :
( ( ! [SY2251: $i,SY2252: $i] :
( ( hBOOL @ ( c_in @ SV318 @ ( c_Message_Oparts @ SY2251 ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SY2252 @ ( c_Message_Oparts @ SY2251 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV318 @ ( c_Message_Oparts @ SY2252 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1565]) ).
thf(2191,plain,
! [SV319: $i] :
( ( ! [SY2253: $i,SY2254: $i,SY2255: $i] :
( ( hBOOL @ ( c_in @ SV319 @ ( c_List_Oset @ SY2253 @ SY2254 ) @ SY2254 ) )
| ( SV319 = SY2255 )
| ~ ( hBOOL @ ( c_in @ SV319 @ ( c_List_Oset @ ( c_List_Olist_OCons @ SY2255 @ SY2253 @ SY2254 ) @ SY2254 ) @ SY2254 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1566]) ).
thf(2192,plain,
! [SV320: $i] :
( ( ! [SY2256: $i,SY2257: $i] :
( ( hBOOL @ ( c_in @ SV320 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2256 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY2257 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SY2257 @ SV320 ) @ ( c_List_Oset @ SY2256 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1567]) ).
thf(2193,plain,
! [SV321: $i] :
( ( ! [SY2258: $i,SY2259: $i,SY2260: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV321 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SY2258 @ SY2259 @ SY2260 ) @ SV321 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1568]) ).
thf(2194,plain,
! [SV322: $i] :
( ( ! [SY2261: $i,SY2262: $i,SY2263: $i,SY2264: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV322 @ SY2261 ) @ ( c_Event_Oknows @ SV322 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SY2262 @ SY2263 @ SY2264 ) @ SY2261 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1575]) ).
thf(2195,plain,
! [SV323: $i] :
( ( ! [SY2265: $i,SY2266: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ SV323 ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SY2265 ) @ SY2266 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1576]) ).
thf(2196,plain,
! [SV324: $i] :
( ( ! [SY2267: $i] :
( ( hBOOL @ ( c_in @ SV324 @ SY2267 @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ SV324 ) @ ( c_Set_Oimage @ c_Public_OshrK @ SY2267 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1577]) ).
thf(2197,plain,
! [SV325: $i] :
( ( ! [SY2268: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ SV325 ) @ ( c_Set_Oimage @ c_Public_OshrK @ SY2268 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV325 @ SY2268 @ tc_Message_Oagent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1578]) ).
thf(2198,plain,
! [SV326: $i] :
( ( ! [SY2269: $i,SY2270: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV326 ) @ SY2269 ) @ ( c_Set_Oimage @ c_Public_OshrK @ SY2270 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1579]) ).
thf(2199,plain,
! [SV327: $i] :
( ( ! [SY2271: $i,SY2272: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV327 @ SY2271 ) @ SY2272 @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2272 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1580]) ).
thf(2200,plain,
! [SV328: $i] :
( ( c_lessequals @ SV328 @ ( c_Message_Oanalz @ SV328 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1581]) ).
thf(2201,plain,
! [SV329: $i] :
( ( ! [SY2273: $i] :
( ( c_lessequals @ SV329 @ ( c_Message_Oanalz @ SY2273 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oanalz @ SV329 ) @ ( c_Message_Oanalz @ SY2273 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1582]) ).
thf(2202,plain,
! [SV330: $i] :
( ( ! [SY2274: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ SV330 ) @ ( c_Message_Oanalz @ SY2274 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ SV330 @ ( c_Message_Oanalz @ SY2274 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1583]) ).
thf(2203,plain,
! [SV331: $i] :
( ( ! [SY2275: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ SV331 ) @ ( c_Message_Oanalz @ SY2275 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ SV331 @ SY2275 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1584]) ).
thf(2204,plain,
! [SV332: $i] :
( ( ! [SY2276: $i] :
( ( c_lessequals @ SV332 @ ( c_Message_Oparts @ SY2276 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oparts @ SV332 ) @ ( c_Message_Oparts @ SY2276 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1585]) ).
thf(2205,plain,
! [SV333: $i] :
( ( ! [SY2277: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ SV333 ) @ ( c_Message_Oparts @ SY2277 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ SV333 @ ( c_Message_Oparts @ SY2277 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1586]) ).
thf(2206,plain,
! [SV334: $i] :
( ( ! [SY2278: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ SV334 ) @ ( c_Message_Oparts @ SY2278 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ SV334 @ SY2278 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1587]) ).
thf(2207,plain,
! [SV335: $i] :
( ( c_lessequals @ SV335 @ ( c_Message_Oparts @ SV335 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1588]) ).
thf(2208,plain,
! [SV336: $i] :
( ( ! [SY2279: $i,SY2280: $i,SY2281: $i,SY2282: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ SV336 @ SY2279 ) @ ( c_Set_Oimage @ SV336 @ SY2280 @ SY2281 @ SY2282 ) @ SY2282 ) )
| ~ ( hBOOL @ ( c_in @ SY2279 @ SY2280 @ SY2281 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1589]) ).
thf(2209,plain,
! [SV337: $i] :
( ( ! [SY2283: $i,SY2284: $i,SY2285: $i,SY2286: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ SV337 @ SY2283 ) @ ( c_Set_Oimage @ SV337 @ SY2284 @ SY2285 @ SY2286 ) @ SY2286 ) )
| ~ ( hBOOL @ ( c_in @ SY2283 @ SY2284 @ SY2285 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1590]) ).
thf(2210,plain,
! [SV338: $i] :
( ( ! [SY2287: $i,SY2288: $i,SY2289: $i,SY2290: $i] :
( ~ ( hBOOL @ ( c_in @ SV338 @ SY2287 @ SY2288 ) )
| ( hBOOL @ ( c_in @ ( hAPP @ SY2289 @ SV338 ) @ ( c_Set_Oimage @ SY2289 @ SY2287 @ SY2288 @ SY2290 ) @ SY2290 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1591]) ).
thf(2211,plain,
! [SV339: $i] :
( ( ! [SY2291: $i,SY2292: $i,SY2293: $i,SY2294: $i] :
( ~ ( hBOOL @ ( c_in @ SV339 @ SY2291 @ SY2292 ) )
| ( hBOOL @ ( c_in @ ( hAPP @ SY2293 @ SV339 ) @ ( c_Set_Oimage @ SY2293 @ SY2291 @ SY2292 @ SY2294 ) @ SY2294 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1592]) ).
thf(2212,plain,
! [SV340: $i] :
( ( ! [SY2295: $i] : ( hBOOL @ ( c_in @ SV340 @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SY2295 @ tc_bool ) ) @ SY2295 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1593]) ).
thf(2213,plain,
! [SV341: $i] :
( ( ! [SY2296: $i,SY2297: $i,SY2298: $i] :
( ( hBOOL @ ( c_in @ SV341 @ SY2296 @ SY2297 ) )
| ~ ( hBOOL @ ( c_in @ SV341 @ SY2298 @ SY2297 ) )
| ~ ( c_lessequals @ SY2298 @ SY2296 @ ( tc_fun @ SY2297 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1594]) ).
thf(2214,plain,
! [SV342: $i] :
( ( ! [SY2299: $i,SY2300: $i,SY2301: $i] :
( ( hBOOL @ ( c_in @ SV342 @ SY2299 @ SY2300 ) )
| ~ ( hBOOL @ ( c_in @ SV342 @ SY2301 @ SY2300 ) )
| ~ ( c_lessequals @ SY2301 @ SY2299 @ ( tc_fun @ SY2300 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1595]) ).
thf(2215,plain,
! [SV343: $i] :
( ( ! [SY2302: $i,SY2303: $i,SY2304: $i] :
( ( hBOOL @ ( c_in @ SV343 @ SY2302 @ SY2303 ) )
| ~ ( c_lessequals @ SY2304 @ SY2302 @ ( tc_fun @ SY2303 @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV343 @ SY2304 @ SY2303 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1596]) ).
thf(2216,plain,
! [SV344: $i] :
( ( ! [SY2305: $i,SY2306: $i,SY2307: $i] :
( ( hBOOL @ ( c_in @ SV344 @ SY2305 @ SY2306 ) )
| ~ ( hBOOL @ ( c_in @ SV344 @ SY2307 @ SY2306 ) )
| ~ ( c_lessequals @ SY2307 @ SY2305 @ ( tc_fun @ SY2306 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1597]) ).
thf(2217,plain,
! [SV345: $i] :
( ( ! [SY2308: $i,SY2309: $i,SY2310: $i,SY2311: $i] :
( ~ ( class_HOL_Oord @ SV345 )
| ( c_lessequals @ ( hAPP @ SY2308 @ SY2309 ) @ ( hAPP @ SY2310 @ SY2309 ) @ SV345 )
| ~ ( c_lessequals @ SY2308 @ SY2310 @ ( tc_fun @ SY2311 @ SV345 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1598]) ).
thf(2218,plain,
( ( hBOOL @ ( c_in @ c_Message_Oagent_OServer @ c_Event_Obad @ tc_Message_Oagent ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1601]) ).
thf(2219,plain,
! [SV346: $i] :
( ( ! [SY2312: $i,SY2313: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV346 @ SY2312 ) @ ( c_Event_Oknows @ SV346 @ ( c_List_Olist_OCons @ SY2313 @ SY2312 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1602]) ).
thf(2220,plain,
! [SV347: $i] :
( ( ! [SY2314: $i,SY2315: $i,SY2316: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV347 @ SY2314 ) @ ( c_Event_Oknows @ SV347 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SY2315 @ SY2316 ) @ SY2314 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1603]) ).
thf(2221,plain,
! [SV348: $i] :
( ( ! [SY2317: $i,SY2318: $i] :
( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV348 @ SY2317 ) @ SY2318 @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2318 ) )
| ( hBOOL @ ( c_in @ SV348 @ c_Event_Obad @ tc_Message_Oagent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1604]) ).
thf(2222,plain,
! [SV349: $i] :
( ( ! [SY2319: $i,SY2320: $i,SY2321: $i] : ( hBOOL @ ( c_in @ ( hAPP @ SV349 @ SY2319 ) @ ( c_Set_Oimage @ SV349 @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SY2320 @ tc_bool ) ) @ SY2320 @ SY2321 ) @ SY2321 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1605]) ).
thf(2223,plain,
! [SV350: $i] :
( ( ! [SY2322: $i,SY2323: $i,SY2324: $i,SY2325: $i,SY2326: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ SV350 @ SY2322 ) @ SY2323 @ SY2324 ) )
| ~ ( hBOOL @ ( c_in @ SY2322 @ SY2325 @ SY2326 ) )
| ~ ( c_lessequals @ ( c_Set_Oimage @ SV350 @ SY2325 @ SY2326 @ SY2324 ) @ SY2323 @ ( tc_fun @ SY2324 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1608]) ).
thf(2224,plain,
! [SV351: $i] :
( ( ! [SY2327: $i,SY2328: $i,SY2329: $i] :
( ( SV351 = SY2327 )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV351 ) @ SY2328 ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SY2327 ) @ SY2329 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1609]) ).
thf(2225,plain,
! [SV352: $i] :
( ( ! [SY2330: $i,SY2331: $i,SY2332: $i] :
( ( hBOOL @ ( c_in @ SV352 @ SY2330 @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SY2331 ) @ SV352 ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SY2332 ) @ SY2330 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1610]) ).
thf(2226,plain,
! [SV353: $i] :
( ( ! [SY2333: $i,SY2334: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV353 ) @ SY2333 ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV353 ) @ SY2334 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SY2333 @ SY2334 @ tc_Message_Oagent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1611]) ).
thf(2227,plain,
! [SV354: $i] :
( ( ! [SY2335: $i] : ( hBOOL @ ( hAPP @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SV354 @ tc_bool ) ) @ SY2335 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1614]) ).
thf(2228,plain,
! [SV355: $i] :
( ( ! [SY2336: $i,SY2337: $i] :
( ( SV355 = SY2336 )
| ~ ( c_lessequals @ SY2336 @ SV355 @ ( tc_fun @ SY2337 @ tc_bool ) )
| ~ ( c_lessequals @ SV355 @ SY2336 @ ( tc_fun @ SY2337 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1615]) ).
thf(2229,plain,
! [SV356: $i] :
( ( ! [SY2338: $i,SY2339: $i] :
( ( SV356 = SY2338 )
| ~ ( c_lessequals @ SY2338 @ SV356 @ ( tc_fun @ SY2339 @ tc_bool ) )
| ~ ( c_lessequals @ SV356 @ SY2338 @ ( tc_fun @ SY2339 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1616]) ).
thf(2230,plain,
! [SV357: $i] :
( ( ! [SY2340: $i,SY2341: $i] :
( ~ ( class_Orderings_Oorder @ SV357 )
| ( SY2340 = SY2341 )
| ~ ( c_lessequals @ SY2341 @ SY2340 @ SV357 )
| ~ ( c_lessequals @ SY2340 @ SY2341 @ SV357 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1617]) ).
thf(2231,plain,
! [SV358: $i] :
( ( ! [SY2342: $i,SY2343: $i] :
( ~ ( class_Orderings_Oorder @ SV358 )
| ( SY2342 = SY2343 )
| ~ ( c_lessequals @ SY2343 @ SY2342 @ SV358 )
| ~ ( c_lessequals @ SY2342 @ SY2343 @ SV358 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1618]) ).
thf(2232,plain,
! [SV359: $i] :
( ( ! [SY2344: $i,SY2345: $i] :
( ~ ( class_Orderings_Oorder @ SV359 )
| ( SY2344 = SY2345 )
| ~ ( c_lessequals @ SY2344 @ SY2345 @ SV359 )
| ~ ( c_lessequals @ SY2345 @ SY2344 @ SV359 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1619]) ).
thf(2233,plain,
! [SV360: $i] :
( ( ! [SY2346: $i,SY2347: $i] : ( c_lessequals @ ( c_List_Oset @ SV360 @ SY2346 ) @ ( c_List_Oset @ ( c_List_Olist_OCons @ SY2347 @ SV360 @ SY2346 ) @ SY2346 ) @ ( tc_fun @ SY2346 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1624]) ).
thf(2234,plain,
! [SV361: $i] :
( ( ! [SY2348: $i,SY2349: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV361 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SY2348 @ SY2349 ) @ SV361 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1625]) ).
thf(2235,plain,
! [SV362: $i] :
( ( ! [SY2350: $i] : ( c_lessequals @ SV362 @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SY2350 @ tc_bool ) ) @ ( tc_fun @ SY2350 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1626]) ).
thf(2236,plain,
! [SV363: $i] :
( ( ! [SY2351: $i] :
( ~ ( class_Orderings_Otop @ SV363 )
| ( c_lessequals @ SY2351 @ ( c_Orderings_Otop__class_Otop @ SV363 ) @ SV363 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1627]) ).
thf(2237,plain,
! [SV364: $i] :
( ( ! [SY2352: $i,SY2353: $i,SY2354: $i] :
( ~ ( class_Orderings_Oorder @ SV364 )
| ( c_lessequals @ SY2352 @ SY2353 @ SV364 )
| ~ ( c_lessequals @ SY2352 @ SY2354 @ SV364 )
| ~ ( c_lessequals @ SY2354 @ SY2353 @ SV364 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1629]) ).
thf(2238,plain,
! [SV365: $i] :
( ( ! [SY2355: $i,SY2356: $i,SY2357: $i] :
( ~ ( class_Orderings_Opreorder @ SV365 )
| ( c_lessequals @ SY2355 @ SY2356 @ SV365 )
| ~ ( c_lessequals @ SY2357 @ SY2356 @ SV365 )
| ~ ( c_lessequals @ SY2355 @ SY2357 @ SV365 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1630]) ).
thf(2239,plain,
! [SV366: $i] :
( ( ! [SY2358: $i] : ( c_lessequals @ SV366 @ SV366 @ ( tc_fun @ SY2358 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1631]) ).
thf(2240,plain,
! [SV367: $i] :
( ( ! [SY2359: $i] : ( c_lessequals @ SV367 @ SV367 @ ( tc_fun @ SY2359 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1632]) ).
thf(2241,plain,
! [SV368: $i] :
( ( ! [SY2360: $i,SY2361: $i,SY2362: $i] :
( ( c_lessequals @ SV368 @ SY2360 @ ( tc_fun @ SY2361 @ tc_bool ) )
| ~ ( c_lessequals @ SY2362 @ SY2360 @ ( tc_fun @ SY2361 @ tc_bool ) )
| ~ ( c_lessequals @ SV368 @ SY2362 @ ( tc_fun @ SY2361 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1633]) ).
thf(2242,plain,
! [SV369: $i] :
( ( ! [SY2363: $i,SY2364: $i,SY2365: $i] :
( ( hBOOL @ ( hAPP @ SV369 @ SY2363 ) )
| ~ ( hBOOL @ ( hAPP @ SY2364 @ SY2363 ) )
| ~ ( c_lessequals @ SY2364 @ SV369 @ ( tc_fun @ SY2365 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1634]) ).
thf(2243,plain,
! [SV370: $i] :
( ( ! [SY2366: $i] :
( ~ ( class_Orderings_Oorder @ SV370 )
| ( c_lessequals @ SY2366 @ SY2366 @ SV370 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1635]) ).
thf(2244,plain,
! [SV371: $i] :
( ( ! [SY2367: $i] :
( ~ ( class_Orderings_Opreorder @ SV371 )
| ( c_lessequals @ SY2367 @ SY2367 @ SV371 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1636]) ).
thf(2245,plain,
! [SV372: $i] :
( ( ! [SY2368: $i,SY2369: $i,SY2370: $i] :
( ( hBOOL @ ( hAPP @ SV372 @ SY2368 ) )
| ~ ( c_lessequals @ SY2369 @ SV372 @ ( tc_fun @ SY2370 @ tc_bool ) )
| ~ ( hBOOL @ ( hAPP @ SY2369 @ SY2368 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1637]) ).
thf(2246,plain,
! [SV373: $i] :
( ( ! [SY2371: $i,SY2372: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV373 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SY2371 @ SY2372 ) @ SV373 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1640]) ).
thf(2247,plain,
! [SV374: $i] :
( ( ! [SY2373: $i,SY2374: $i,SY2375: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV374 @ SY2373 ) @ ( c_Event_Oknows @ SV374 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SY2374 @ SY2375 ) @ SY2373 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1641]) ).
thf(2248,plain,
! [SV375: $i] :
( ( ! [SY2376: $i,SY2377: $i,SY2378: $i,SY2379: $i] :
( ( c_lessequals @ ( c_Set_Oimage @ SV375 @ SY2376 @ SY2377 @ SY2378 ) @ ( c_Set_Oimage @ SV375 @ SY2379 @ SY2377 @ SY2378 ) @ ( tc_fun @ SY2378 @ tc_bool ) )
| ~ ( c_lessequals @ SY2376 @ SY2379 @ ( tc_fun @ SY2377 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1642]) ).
thf(2249,plain,
! [SV376: $i] :
( ( ! [SY2380: $i,SY2381: $i,SY2382: $i,SY2383: $i] :
( ~ ( c_lessequals @ SV376 @ SY2380 @ ( tc_fun @ SY2381 @ tc_bool ) )
| ( c_lessequals @ ( c_Set_Oimage @ SY2382 @ SV376 @ SY2381 @ SY2383 ) @ ( c_Set_Oimage @ SY2382 @ SY2380 @ SY2381 @ SY2383 ) @ ( tc_fun @ SY2383 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1643]) ).
thf(2250,plain,
! [SV377: $i] :
( ( ! [SY2384: $i,SY2385: $i] :
( ( c_Event_Oused @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV377 @ SY2384 ) @ SY2385 @ tc_Event_Oevent ) )
= ( c_Event_Oused @ SY2385 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1644]) ).
thf(2251,plain,
! [SV378: $i] :
( ( ! [SY2386: $i,SY2387: $i] :
( ~ ( class_Orderings_Olinorder @ SV378 )
| ( c_lessequals @ SY2386 @ SY2387 @ SV378 )
| ( c_lessequals @ SY2387 @ SY2386 @ SV378 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1645]) ).
thf(2252,plain,
! [SV379: $i] :
( ( ! [SY2388: $i] :
( ( hBOOL @ ( c_in @ SV379 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV379 ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2388 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY2388 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1646]) ).
thf(2253,plain,
! [SV380: $i] :
( ( ! [SY2389: $i] :
( ( hBOOL @ ( c_in @ SV380 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV380 ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2389 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY2389 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1647]) ).
thf(2254,plain,
! [SV381: $i] :
( ( ! [SY2390: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV381 ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2390 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV381 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ SY2390 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1648]) ).
thf(2255,plain,
! [SV382: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV382 ) ) @ ( c_Event_Oused @ SV382 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1649]) ).
thf(2256,plain,
! [SV383: $i] :
( ( ! [SY2391: $i,SY2392: $i] :
( ( hBOOL @ ( c_in @ SV383 @ ( c_Message_OkeysFor @ SY2391 ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV383 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV383 @ SY2392 ) @ SY2391 @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1650]) ).
thf(2257,plain,
! [SV384: $i] :
( ( ! [SY2393: $i,SY2394: $i] :
( ( hBOOL @ ( c_in @ SV384 @ ( c_Event_Oknows @ SY2393 @ SY2394 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SY2393 @ SV384 ) @ ( c_List_Oset @ SY2394 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1651]) ).
thf(2258,plain,
! [SV385: $i] :
( ( ! [SY2395: $i,SY2396: $i] :
( ( hBOOL @ ( c_in @ SV385 @ ( c_Event_Oused @ SY2395 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SY2396 @ SV385 ) @ ( c_List_Oset @ SY2395 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1652]) ).
thf(2259,plain,
! [SV386: $i] :
( ( ! [SY2397: $i,SY2398: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ ( c_Public_OpublicKey @ SV386 ) @ SY2397 ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2398 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1653]) ).
thf(2260,plain,
! [SV387: $i] :
( ( ! [SY2399: $i,SY2400: $i,SY2401: $i,SY2402: $i] :
( ~ ( hBOOL @ ( c_in @ SV387 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2399 ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV387 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SY2400 @ SY2401 @ SY2402 ) @ SY2399 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1654]) ).
thf(2261,plain,
! [SV388: $i] :
( ( ! [SY2403: $i,SY2404: $i,SY2405: $i,SY2406: $i,SY2407: $i,SY2408: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV388 @ SY2403 @ SY2404 ) @ SY2405 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV388 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV388 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2403 ) @ ( c_Message_Omsg_ONonce @ SY2406 ) ) ) ) @ ( c_List_Oset @ SY2405 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY2407 @ SV388 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV388 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY2406 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2403 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2408 ) @ SY2404 ) ) ) ) ) @ ( c_List_Oset @ SY2405 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV388 = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SY2405 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1655]) ).
thf(2262,plain,
! [SV389: $i] :
( ( ! [SY2409: $i,SY2410: $i,SY2411: $i] :
( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV389 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV389 ) @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1 @ SV389 @ SY2409 @ SY2410 @ SY2411 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2409 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2410 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY2409 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2410 ) @ ( c_Message_Omsg_OAgent @ SV389 ) ) ) ) ) ) ) ) @ ( c_List_Oset @ SY2411 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SY2411 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SY2409 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY2409 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2410 ) @ ( c_Message_Omsg_OAgent @ SV389 ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2411 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1656]) ).
thf(2263,plain,
! [SV390: $i] :
( ( ! [SY2412: $i,SY2413: $i] :
( ( hBOOL @ ( c_in @ SV390 @ ( c_Event_Oknows @ SY2412 @ SY2413 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OGets @ SY2412 @ SV390 ) @ ( c_List_Oset @ SY2413 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SY2412 = c_Message_Oagent_OSpy ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1657]) ).
thf(2264,plain,
! [SV391: $i] :
( ( ! [SY2414: $i,SY2415: $i,SY2416: $i,SY2417: $i,SY2418: $i] :
( ( SV391
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY2414 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2415 ) @ ( c_Message_Omsg_OAgent @ SY2416 ) ) ) )
| ~ ( hBOOL @ ( c_in @ SY2417 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SY2416 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY2416 ) @ ( c_Message_Omsg_OMPair @ SY2418 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2414 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2415 ) @ SV391 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2417 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1658]) ).
thf(2265,plain,
! [SV392: $i] :
( ( ! [SY2419: $i,SY2420: $i,SY2421: $i,SY2422: $i,SY2423: $i,SY2424: $i,SY2425: $i,SY2426: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV392 @ SY2419 @ ( c_Message_Omsg_OCrypt @ SY2420 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY2421 ) @ ( c_Message_Omsg_ONonce @ SY2421 ) ) ) ) @ SY2422 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY2423 @ SV392 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV392 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY2424 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2419 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2420 ) @ SY2425 ) ) ) ) ) @ ( c_List_Oset @ SY2422 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY2426 @ SV392 @ ( c_Message_Omsg_OCrypt @ SY2420 @ ( c_Message_Omsg_ONonce @ SY2421 ) ) ) @ ( c_List_Oset @ SY2422 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SY2420 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SY2422 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1659]) ).
thf(2266,plain,
! [SV393: $i] :
( ( ! [SY2427: $i,SY2428: $i,SY2429: $i,SY2430: $i,SY2431: $i,SY2432: $i] :
( ~ ( hBOOL @ ( c_in @ SV393 @ ( 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 @ SY2427 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY2428 @ ( c_Message_Omsg_OCrypt @ SY2429 @ ( c_Message_Omsg_OMPair @ SY2430 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2431 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV393 ) @ SY2432 ) ) ) ) ) @ ( c_List_Oset @ SY2427 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1660]) ).
thf(2267,plain,
! [SV394: $i] :
( ( ! [SY2433: $i,SY2434: $i,SY2435: $i,SY2436: $i,SY2437: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV394 @ SY2433 @ ( c_Message_Omsg_OCrypt @ SY2434 @ ( c_Message_Omsg_ONonce @ SY2435 ) ) ) @ SY2436 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY2437 @ SV394 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV394 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2434 ) @ ( c_Message_Omsg_OAgent @ SY2433 ) ) ) ) @ ( c_List_Oset @ SY2436 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SY2434 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SY2435 ) @ ( c_Event_Oused @ SY2436 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SY2436 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1661]) ).
thf(2268,plain,
! [SV395: $i] :
( ( ! [SY2438: $i,SY2439: $i,SY2440: $i,SY2441: $i,SY2442: $i,SY2443: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV395 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY2438 ) @ ( hAPP @ c_Message_Omsg_OKey @ SY2439 ) ) ) ) @ SY2440 @ 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 @ SY2441 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY2441 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV395 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2442 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2439 ) @ SY2443 ) ) ) ) ) @ ( c_List_Oset @ SY2440 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY2442 @ SY2441 @ ( c_Message_Omsg_OCrypt @ SY2439 @ ( c_Message_Omsg_ONonce @ SY2438 ) ) ) @ ( c_List_Oset @ SY2440 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SY2440 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1662]) ).
thf(2269,plain,
! [SV396: $i] :
( ( ! [SY2444: $i,SY2445: $i,SY2446: $i,SY2447: $i,SY2448: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV396 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV396 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY2444 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2445 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2446 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY2445 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2446 ) @ ( c_Message_Omsg_OAgent @ SV396 ) ) ) ) ) ) ) ) @ SY2447 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY2448 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV396 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2445 ) @ ( c_Message_Omsg_ONonce @ SY2444 ) ) ) ) @ ( c_List_Oset @ SY2447 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SY2446 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SY2446 ) @ ( c_Event_Oused @ SY2447 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SY2447 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1663]) ).
thf(2270,plain,
! [SV397: $i] :
( ( ! [SY2449: $i,SY2450: $i,SY2451: $i,SY2452: $i,SY2453: $i] :
( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV397 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV397 ) @ ( c_Message_Omsg_OMPair @ SY2449 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2450 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2451 ) @ SY2452 ) ) ) ) ) @ ( c_List_Oset @ SY2453 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SY2453 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SV397 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV397 ) @ ( c_Message_Omsg_OMPair @ SY2449 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2450 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2451 ) @ SY2452 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2453 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1664]) ).
thf(2271,plain,
! [SV398: $i] :
( ( ! [SY2454: $i,SY2455: $i,SY2456: $i,SY2457: $i,SY2458: $i,SY2459: $i] :
( ( hBOOL @ ( c_in @ SV398 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2454 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY2455 @ ( 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 @ SY2454 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY2456 @ SY2457 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY2457 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY2458 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2459 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2455 ) @ SV398 ) ) ) ) ) @ ( c_List_Oset @ SY2454 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1665]) ).
thf(2272,plain,
! [SV399: $i] :
( ( ! [SY2460: $i,SY2461: $i,SY2462: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV399 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV399 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2460 ) @ ( c_Message_Omsg_ONonce @ SY2461 ) ) ) ) @ SY2462 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SY2461 ) @ ( c_Event_Oused @ SY2462 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY2462 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1666]) ).
thf(2273,plain,
! [SV400: $i] :
( ( ! [SY2463: $i] :
( ~ ( hBOOL @ ( c_in @ SV400 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2463 ) ) ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SY2463 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ SV400 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV400 ) @ ( c_Event_Oused @ SY2463 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1667]) ).
thf(2274,plain,
! [SV401: $i] :
( ( ! [SY2464: $i,SY2465: $i,SY2466: $i,SY2467: $i,SY2468: $i,SY2469: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV401 @ SY2464 @ SY2465 ) @ SY2466 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV401 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV401 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2464 ) @ ( c_Message_Omsg_ONonce @ SY2467 ) ) ) ) @ ( c_List_Oset @ SY2466 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY2468 @ SV401 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV401 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY2467 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2464 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2469 ) @ SY2465 ) ) ) ) ) @ ( c_List_Oset @ SY2466 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV401 = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_in @ SY2466 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1668]) ).
thf(2275,plain,
! [SV402: $i] :
( ( ! [SY2470: $i,SY2471: $i,SY2472: $i,SY2473: $i,SY2474: $i,SY2475: $i,SY2476: $i,SY2477: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV402 @ SY2470 @ ( c_Message_Omsg_OCrypt @ SY2471 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY2472 ) @ ( c_Message_Omsg_ONonce @ SY2472 ) ) ) ) @ SY2473 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY2474 @ SV402 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV402 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY2475 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2470 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2471 ) @ SY2476 ) ) ) ) ) @ ( c_List_Oset @ SY2473 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY2477 @ SV402 @ ( c_Message_Omsg_OCrypt @ SY2471 @ ( c_Message_Omsg_ONonce @ SY2472 ) ) ) @ ( c_List_Oset @ SY2473 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SY2471 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SY2473 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1669]) ).
thf(2276,plain,
! [SV403: $i] :
( ( ! [SY2478: $i,SY2479: $i,SY2480: $i,SY2481: $i,SY2482: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV403 @ SY2478 @ ( c_Message_Omsg_OCrypt @ SY2479 @ ( c_Message_Omsg_ONonce @ SY2480 ) ) ) @ SY2481 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY2482 @ SV403 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV403 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2479 ) @ ( c_Message_Omsg_OAgent @ SY2478 ) ) ) ) @ ( c_List_Oset @ SY2481 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SY2479 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SY2480 ) @ ( c_Event_Oused @ SY2481 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY2481 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1670]) ).
thf(2277,plain,
! [SV404: $i] :
( ( ! [SY2483: $i,SY2484: $i,SY2485: $i,SY2486: $i,SY2487: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV404 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV404 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY2483 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2484 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2485 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY2484 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2485 ) @ ( c_Message_Omsg_OAgent @ SV404 ) ) ) ) ) ) ) ) @ SY2486 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY2487 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV404 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2484 ) @ ( c_Message_Omsg_ONonce @ SY2483 ) ) ) ) @ ( c_List_Oset @ SY2486 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SY2485 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SY2485 ) @ ( c_Event_Oused @ SY2486 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY2486 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1671]) ).
thf(2278,plain,
! [SV405: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ SV405 ) @ c_Message_OsymKeys @ tc_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1672]) ).
thf(2279,plain,
! [SV406: $i] :
( ( ( c_Message_Oparts @ ( c_Message_Oanalz @ SV406 ) )
= ( c_Message_Oparts @ SV406 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1674]) ).
thf(2280,plain,
! [SV407: $i] :
( ( ! [SY2488: $i,SY2489: $i,SY2490: $i] :
( ( hBOOL @ ( c_in @ SV407 @ ( c_Event_Oknows @ SY2488 @ SY2489 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY2488 @ SY2490 @ SV407 ) @ ( c_List_Oset @ SY2489 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1675]) ).
thf(2281,plain,
! [SV408: $i] :
( ( ( c_Message_Oanalz @ ( c_Message_Oanalz @ SV408 ) )
= ( c_Message_Oanalz @ SV408 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1676]) ).
thf(2282,plain,
! [SV409: $i] :
( ( ! [SY2491: $i,SY2492: $i] :
( ( hBOOL @ ( c_in @ SV409 @ ( c_Message_Oanalz @ SY2491 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SY2492 @ SV409 ) @ ( c_Message_Oanalz @ SY2491 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1677]) ).
thf(2283,plain,
! [SV410: $i] :
( ( ! [SY2493: $i,SY2494: $i] :
( ( hBOOL @ ( c_in @ SV410 @ ( c_Message_Oanalz @ SY2493 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV410 @ SY2494 ) @ ( c_Message_Oanalz @ SY2493 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1678]) ).
thf(2284,plain,
! [SV411: $i] :
( ( ! [SY2495: $i,SY2496: $i] :
( ( hBOOL @ ( c_in @ SV411 @ ( c_Message_Oparts @ SY2495 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SY2496 @ SV411 ) @ ( c_Message_Oparts @ SY2495 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1679]) ).
thf(2285,plain,
! [SV412: $i] :
( ( ! [SY2497: $i,SY2498: $i] :
( ( hBOOL @ ( c_in @ SV412 @ ( c_Message_Oparts @ SY2497 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV412 @ SY2498 ) @ ( c_Message_Oparts @ SY2497 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1680]) ).
thf(2286,plain,
! [SV413: $i] :
( ( ! [SY2499: $i,SY2500: $i] :
( ( hBOOL @ ( c_in @ SV413 @ ( c_Event_Oused @ SY2499 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SY2500 @ SV413 ) @ ( c_Event_Oused @ SY2499 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1681]) ).
thf(2287,plain,
! [SV414: $i] :
( ( ! [SY2501: $i,SY2502: $i] :
( ( hBOOL @ ( c_in @ SV414 @ ( c_Event_Oused @ SY2501 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV414 @ SY2502 ) @ ( c_Event_Oused @ SY2501 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1682]) ).
thf(2288,plain,
! [SV415: $i] :
( ( ! [SY2503: $i,SY2504: $i] :
( ( hBOOL @ ( c_in @ SV415 @ ( c_Message_Oanalz @ SY2503 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SY2504 ) @ ( c_Message_Oanalz @ SY2503 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY2504 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SY2504 @ SV415 ) @ ( c_Message_Oanalz @ SY2503 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1686]) ).
thf(2289,plain,
! [SV416: $i] :
( ( ! [SY2505: $i] :
( ( hBOOL @ ( c_in @ SV416 @ ( c_Message_Oparts @ SY2505 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV416 @ SY2505 @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1690]) ).
thf(2290,plain,
! [SV417: $i] :
( ( ! [SY2506: $i] :
( ( hBOOL @ ( c_in @ SV417 @ ( c_Message_Oanalz @ SY2506 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV417 @ SY2506 @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1691]) ).
thf(2291,plain,
! [SV418: $i] :
( ( ! [SY2507: $i,SY2508: $i,SY2509: $i] :
( ( hBOOL @ ( c_in @ SV418 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2507 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY2508 @ SY2509 @ SV418 ) @ ( c_List_Oset @ SY2507 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1692]) ).
thf(2292,plain,
! [SV419: $i] :
( ( ! [SY2510: $i,SY2511: $i,SY2512: $i] :
( ( hBOOL @ ( c_in @ SV419 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2510 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY2511 @ SY2512 @ SV419 ) @ ( c_List_Oset @ SY2510 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1693]) ).
thf(2293,plain,
! [SV420: $i] :
( ( ! [SY2513: $i] :
( ( hBOOL @ ( c_in @ SV420 @ ( c_Event_Oused @ SY2513 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV420 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2513 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1694]) ).
thf(2294,plain,
! [SV421: $i] :
( ( ! [SY2514: $i,SY2515: $i,SY2516: $i,SY2517: $i,SY2518: $i,SY2519: $i,SY2520: $i] :
( ( hBOOL @ ( c_in @ SV421 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2514 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY2515 @ SY2516 @ ( c_Message_Omsg_OCrypt @ SY2517 @ ( c_Message_Omsg_OMPair @ SY2518 @ ( c_Message_Omsg_OMPair @ SY2519 @ ( c_Message_Omsg_OMPair @ SY2520 @ SV421 ) ) ) ) ) @ ( c_List_Oset @ SY2514 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1695]) ).
thf(2295,plain,
! [SV422: $i] :
( ( ( c_Message_Oparts @ ( c_Message_Oparts @ SV422 ) )
= ( c_Message_Oparts @ SV422 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1697]) ).
thf(2296,plain,
! [SV423: $i] :
( ( ( c_Message_Oanalz @ ( c_Message_Oparts @ SV423 ) )
= ( c_Message_Oparts @ SV423 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1699]) ).
thf(2297,plain,
! [SV424: $i] :
( ( ! [SY2521: $i,SY2522: $i,SY2523: $i,SY2524: $i,SY2525: $i,SY2526: $i] :
( ( SV424
= ( hAPP @ c_Public_OshrK @ SY2521 ) )
| ~ ( hBOOL @ ( c_in @ SY2522 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY2521 @ ( c_Message_Omsg_OCrypt @ SV424 @ ( c_Message_Omsg_OMPair @ SY2523 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2524 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2525 ) @ SY2526 ) ) ) ) ) @ ( c_List_Oset @ SY2522 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1701]) ).
thf(2298,plain,
! [SV425: $i] :
( ( ! [SY2527: $i,SY2528: $i] :
( ( hBOOL @ ( c_in @ SV425 @ ( c_Message_Oparts @ SY2527 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SY2528 @ SV425 ) @ ( c_Message_Oparts @ SY2527 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1703]) ).
thf(2299,plain,
! [SV426: $i] :
( ( ! [SY2529: $i,SY2530: $i] :
( ( hBOOL @ ( c_in @ SV426 @ ( c_Message_Oanalz @ SY2529 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SY2530 ) ) @ ( c_Message_Oanalz @ SY2529 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY2530 ) @ SV426 ) @ ( c_Message_Oanalz @ SY2529 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1704]) ).
thf(2300,plain,
! [SV427: $i] :
( ( ! [SY2531: $i,SY2532: $i,SY2533: $i] :
( ( hBOOL @ ( c_in @ SV427 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2531 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY2532 @ SY2533 @ SV427 ) @ ( c_List_Oset @ SY2531 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1706]) ).
thf(2301,plain,
! [SV428: $i] :
( ( ! [SY2534: $i] :
( ( hBOOL @ ( c_in @ SV428 @ ( c_Message_Oparts @ SY2534 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV428 @ ( c_Message_Oparts @ ( c_Message_Oparts @ SY2534 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1707]) ).
thf(2302,plain,
! [SV429: $i] :
( ( ! [SY2535: $i,SY2536: $i,SY2537: $i,SY2538: $i,SY2539: $i,SY2540: $i,SY2541: $i,SY2542: $i,SY2543: $i] :
( ( SV429 = SY2535 )
| ~ ( hBOOL @ ( c_in @ SY2536 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY2535 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY2535 ) @ ( c_Message_Omsg_OMPair @ SY2537 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2538 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2539 ) @ SY2540 ) ) ) ) ) @ ( c_List_Oset @ SY2536 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV429 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV429 ) @ ( c_Message_Omsg_OMPair @ SY2541 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2542 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2539 ) @ SY2543 ) ) ) ) ) @ ( c_List_Oset @ SY2536 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1708]) ).
thf(2303,plain,
! [SV430: $i] :
( ( ! [SY2544: $i,SY2545: $i,SY2546: $i,SY2547: $i,SY2548: $i,SY2549: $i,SY2550: $i,SY2551: $i,SY2552: $i] :
( ( SV430 = SY2544 )
| ~ ( hBOOL @ ( c_in @ SY2545 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY2546 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY2546 ) @ ( c_Message_Omsg_OMPair @ SY2544 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2547 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2548 ) @ SY2549 ) ) ) ) ) @ ( c_List_Oset @ SY2545 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY2550 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY2550 ) @ ( c_Message_Omsg_OMPair @ SV430 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2551 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2548 ) @ SY2552 ) ) ) ) ) @ ( c_List_Oset @ SY2545 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1709]) ).
thf(2304,plain,
! [SV431: $i] :
( ( ! [SY2553: $i,SY2554: $i,SY2555: $i,SY2556: $i,SY2557: $i,SY2558: $i,SY2559: $i,SY2560: $i,SY2561: $i] :
( ( SV431 = SY2553 )
| ~ ( hBOOL @ ( c_in @ SY2554 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY2555 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY2555 ) @ ( c_Message_Omsg_OMPair @ SY2556 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2553 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2557 ) @ SY2558 ) ) ) ) ) @ ( c_List_Oset @ SY2554 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY2559 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY2559 ) @ ( c_Message_Omsg_OMPair @ SY2560 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV431 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2557 ) @ SY2561 ) ) ) ) ) @ ( c_List_Oset @ SY2554 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1710]) ).
thf(2305,plain,
! [SV432: $i] :
( ( ! [SY2562: $i,SY2563: $i,SY2564: $i,SY2565: $i,SY2566: $i,SY2567: $i,SY2568: $i,SY2569: $i,SY2570: $i] :
( ( SV432 = SY2562 )
| ~ ( hBOOL @ ( c_in @ SY2563 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY2564 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY2564 ) @ ( c_Message_Omsg_OMPair @ SY2565 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2566 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2567 ) @ SY2562 ) ) ) ) ) @ ( c_List_Oset @ SY2563 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY2568 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY2568 ) @ ( c_Message_Omsg_OMPair @ SY2569 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2570 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2567 ) @ SV432 ) ) ) ) ) @ ( c_List_Oset @ SY2563 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1711]) ).
thf(2306,plain,
! [SV433: $i] :
( ( ! [SY2571: $i,SY2572: $i,SY2573: $i,SY2574: $i,SY2575: $i] :
( ( hBOOL @ ( c_in @ SV433 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2571 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY2572 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY2572 ) @ ( c_Message_Omsg_OMPair @ SY2573 @ ( c_Message_Omsg_OMPair @ SY2574 @ ( c_Message_Omsg_OMPair @ SV433 @ SY2575 ) ) ) ) ) @ ( c_List_Oset @ SY2571 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1714]) ).
thf(2307,plain,
! [SV434: $i] :
( ( ! [SY2576: $i,SY2577: $i,SY2578: $i] :
( ( hBOOL @ ( c_in @ SV434 @ ( c_Event_Oused @ SY2576 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY2577 @ SY2578 @ SV434 ) @ ( c_List_Oset @ SY2576 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1715]) ).
thf(2308,plain,
! [SV435: $i] :
( ( ! [SY2579: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV435 ) ) @ ( c_Event_Oknows @ SV435 @ SY2579 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1720]) ).
thf(2309,plain,
! [SV436: $i] :
( ( ! [SY2580: $i] :
( ( hBOOL @ ( c_in @ SV436 @ ( c_Message_Oanalz @ SY2580 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV436 @ ( c_Message_Oanalz @ ( c_Message_Oanalz @ SY2580 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1722]) ).
thf(2310,plain,
! [SV437: $i] :
( ( ! [SY2581: $i,SY2582: $i] :
( ( hBOOL @ ( c_in @ SV437 @ SY2581 @ SY2582 ) )
| ~ ( hBOOL @ ( hAPP @ SY2581 @ SV437 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1724]) ).
thf(2311,plain,
! [SV438: $i] :
( ( ! [SY2583: $i,SY2584: $i] :
( ( hBOOL @ ( hAPP @ SV438 @ SY2583 ) )
| ~ ( hBOOL @ ( c_in @ SY2583 @ SV438 @ SY2584 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1725]) ).
thf(2312,plain,
! [SV439: $i] :
( ( ! [SY2585: $i,SY2586: $i,SY2587: $i,SY2588: $i,SY2589: $i,SY2590: $i] :
( ( hBOOL @ ( c_in @ SV439 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2585 ) ) @ tc_Message_Omsg ) )
| ( SV439
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY2586 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2587 ) @ ( c_Message_Omsg_OAgent @ SY2588 ) ) ) )
| ~ ( hBOOL @ ( c_in @ SY2585 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY2589 @ SY2588 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY2588 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY2590 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2586 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2587 ) @ SV439 ) ) ) ) ) @ ( c_List_Oset @ SY2585 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1729]) ).
thf(2313,plain,
! [SV440: $i] :
( ( ! [SY2591: $i,SY2592: $i,SY2593: $i,SY2594: $i,SY2595: $i,SY2596: $i] :
( ( SV440
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY2591 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2592 ) @ ( c_Message_Omsg_OAgent @ SY2593 ) ) ) )
| ~ ( hBOOL @ ( c_in @ SY2594 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY2593 @ ( c_Message_Omsg_OCrypt @ SY2595 @ ( c_Message_Omsg_OMPair @ SY2596 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY2591 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY2592 ) @ SV440 ) ) ) ) ) @ ( c_List_Oset @ SY2594 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1736]) ).
thf(2314,plain,
! [SV441: $i] :
( ( ! [SY2597: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV441 ) ) @ ( c_Event_Oused @ SY2597 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1738]) ).
thf(2315,plain,
! [SV442: $i] :
( ( ! [SY2598: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV442 ) ) @ ( c_Event_Oused @ SY2598 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1739]) ).
thf(2316,plain,
! [SV443: $i] :
( ( ! [SY2599: $i] :
( ~ ( hBOOL @ ( c_in @ SV443 @ ( c_Message_Oanalz @ SY2599 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV443 @ ( c_Message_Oparts @ SY2599 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1743]) ).
thf(2317,plain,
! [SV444: $i] :
( ( ! [SY2600: $i] :
( ( hBOOL @ ( c_in @ SV444 @ ( c_Message_Oparts @ SY2600 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV444 @ ( c_Message_Oanalz @ SY2600 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1744]) ).
thf(2318,plain,
! [SV445: $i] :
( ( ! [SY2601: $i] :
( ( hBOOL @ ( c_in @ SV445 @ ( c_Message_Oparts @ SY2601 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV445 @ ( c_Message_Oanalz @ SY2601 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1745]) ).
thf(2319,plain,
! [SV446: $i] :
( ( ! [SY2602: $i] :
( ( class_Lattices_Oupper__semilattice @ ( tc_fun @ SV446 @ SY2602 ) )
| ~ ( class_Lattices_Olattice @ SY2602 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1746]) ).
thf(2320,plain,
! [SV447: $i] :
( ( ! [SY2603: $i] :
( ( class_Lattices_Obounded__lattice @ ( tc_fun @ SV447 @ SY2603 ) )
| ~ ( class_Lattices_Obounded__lattice @ SY2603 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1747]) ).
thf(2321,plain,
! [SV448: $i] :
( ( ! [SY2604: $i] :
( ( class_Lattices_Oboolean__algebra @ ( tc_fun @ SV448 @ SY2604 ) )
| ~ ( class_Lattices_Oboolean__algebra @ SY2604 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1748]) ).
thf(2322,plain,
! [SV449: $i] :
( ( ! [SY2605: $i] :
( ( class_Orderings_Opreorder @ ( tc_fun @ SV449 @ SY2605 ) )
| ~ ( class_Orderings_Opreorder @ SY2605 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1749]) ).
thf(2323,plain,
! [SV450: $i] :
( ( ! [SY2606: $i] :
( ( class_Lattices_Olattice @ ( tc_fun @ SV450 @ SY2606 ) )
| ~ ( class_Lattices_Olattice @ SY2606 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1750]) ).
thf(2324,plain,
! [SV451: $i] :
( ( ! [SY2607: $i] :
( ( class_Orderings_Oorder @ ( tc_fun @ SV451 @ SY2607 ) )
| ~ ( class_Orderings_Oorder @ SY2607 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1751]) ).
thf(2325,plain,
! [SV452: $i] :
( ( ! [SY2608: $i] :
( ( class_Orderings_Otop @ ( tc_fun @ SV452 @ SY2608 ) )
| ~ ( class_Orderings_Otop @ SY2608 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1752]) ).
thf(2326,plain,
! [SV453: $i] :
( ( ! [SY2609: $i] :
( ( class_Orderings_Obot @ ( tc_fun @ SV453 @ SY2609 ) )
| ~ ( class_Orderings_Obot @ SY2609 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1753]) ).
thf(2327,plain,
! [SV454: $i] :
( ( ! [SY2610: $i] :
( ( class_HOL_Ouminus @ ( tc_fun @ SV454 @ SY2610 ) )
| ~ ( class_HOL_Ouminus @ SY2610 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1754]) ).
thf(2328,plain,
! [SV455: $i] :
( ( ! [SY2611: $i] :
( ( class_HOL_Oord @ ( tc_fun @ SV455 @ SY2611 ) )
| ~ ( class_HOL_Oord @ SY2611 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1755]) ).
thf(2329,plain,
! [SV456: $i] :
( ( ! [SY2612: $i] : ( c_fequal @ SV456 @ SV456 @ SY2612 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1773]) ).
thf(2330,plain,
! [SV457: $i] :
( ( ! [SY2613: $i,SY2614: $i] :
( ( SV457 = SY2613 )
| ~ ( c_fequal @ SV457 @ SY2613 @ SY2614 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1774]) ).
thf(2331,plain,
$false = $false,
inference(extcnf_not_pos,[status(thm)],[1775]) ).
thf(2332,plain,
! [SV458: $i] :
( ( ! [SY2615: $i] :
( ( c_Message_Omsg_ONonce @ SV458 )
!= ( hAPP @ c_Message_Omsg_OKey @ SY2615 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1776]) ).
thf(2333,plain,
! [SV459: $i] :
( ( ! [SY2616: $i] :
( ( hAPP @ c_Message_Omsg_OKey @ SV459 )
!= ( c_Message_Omsg_ONonce @ SY2616 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1777]) ).
thf(2334,plain,
! [SV460: $i] :
( ( ! [SY2617: $i,SY2618: $i,SY2619: $i] :
( ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV460 ) @ SY2617 ) )
!= ( hAPP @ ( c_Public_OpublicKey @ SY2618 ) @ SY2619 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1778]) ).
thf(2335,plain,
! [SV461: $i] :
( ( ! [SY2620: $i] :
( ( hAPP @ c_Message_Omsg_OKey @ SV461 )
!= ( c_Message_Omsg_OAgent @ SY2620 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1779]) ).
thf(2336,plain,
! [SV462: $i] :
( ( ! [SY2621: $i,SY2622: $i] :
( ( c_List_Olist_OCons @ SV462 @ SY2621 @ SY2622 )
!= SY2621 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1780]) ).
thf(2337,plain,
! [SV463: $i] :
( ( c_Message_Oagent_OSpy
!= ( c_Message_Oagent_OFriend @ SV463 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1781]) ).
thf(2338,plain,
! [SV464: $i] :
( ( ! [SY2623: $i,SY2624: $i] :
( ( c_List_Olist_ONil @ SV464 )
!= ( c_List_Olist_OCons @ SY2623 @ SY2624 @ SV464 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1782]) ).
thf(2339,plain,
! [SV465: $i] :
( ( ! [SY2625: $i,SY2626: $i] :
( ( c_List_Olist_OCons @ SV465 @ SY2625 @ SY2626 )
!= ( c_List_Olist_ONil @ SY2626 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1783]) ).
thf(2340,plain,
! [SV466: $i] :
( ( ! [SY2627: $i,SY2628: $i,SY2629: $i] :
( ( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV466 @ tc_bool ) )
!= ( c_Set_Oimage @ SY2627 @ SY2628 @ SY2629 @ SV466 ) )
| ( SY2628
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2629 @ tc_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1784]) ).
thf(2341,plain,
! [SV467: $i] :
( ( ! [SY2630: $i,SY2631: $i,SY2632: $i] :
( ( ( c_Message_Omsg_OMPair @ SV467 @ SY2630 )
!= ( c_Message_Omsg_OMPair @ SY2631 @ SY2632 ) )
| ( SV467 = SY2631 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1785]) ).
thf(2342,plain,
! [SV468: $i] :
( ( ! [SY2633: $i] :
( ( c_Message_Omsg_ONonce @ SV468 )
!= ( c_Message_Omsg_OAgent @ SY2633 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1786]) ).
thf(2343,plain,
! [SV469: $i] :
( ( ! [SY2634: $i,SY2635: $i,SY2636: $i,SY2637: $i] :
( ( ( c_Set_Oinsert @ SV469 @ ( c_Set_Oinsert @ SY2634 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2635 @ tc_bool ) ) @ SY2635 ) @ SY2635 )
!= ( c_Set_Oinsert @ SY2636 @ ( c_Set_Oinsert @ SY2637 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2635 @ tc_bool ) ) @ SY2635 ) @ SY2635 ) )
| ( SV469 = SY2637 )
| ( SV469 = SY2636 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1787]) ).
thf(2344,plain,
! [SV470: $i] :
( ( ! [SY2638: $i,SY2639: $i,SY2640: $i] :
( ( c_Message_Omsg_OMPair @ SV470 @ SY2638 )
!= ( c_Message_Omsg_OCrypt @ SY2639 @ SY2640 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1788]) ).
thf(2345,plain,
! [SV471: $i] :
( ( ! [SY2641: $i,SY2642: $i] :
( ( ( c_HOL_Ouminus__class_Ouminus @ SV471 @ ( tc_fun @ SY2641 @ tc_bool ) )
!= ( c_HOL_Ouminus__class_Ouminus @ SY2642 @ ( tc_fun @ SY2641 @ tc_bool ) ) )
| ( SV471 = SY2642 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1789]) ).
thf(2346,plain,
! [SV472: $i] :
( ( ! [SY2643: $i,SY2644: $i] :
( ( hAPP @ c_Message_Omsg_OKey @ SV472 )
!= ( c_Message_Omsg_OCrypt @ SY2643 @ SY2644 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1790]) ).
thf(2347,plain,
! [SV473: $i] :
( ( ! [SY2645: $i,SY2646: $i,SY2647: $i] :
( ( ( c_Event_Oevent_OGets @ SV473 @ SY2645 )
!= ( c_Event_Oevent_OGets @ SY2646 @ SY2647 ) )
| ( SV473 = SY2646 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1791]) ).
thf(2348,plain,
! [SV474: $i] :
( ( ! [SY2648: $i,SY2649: $i] :
( SV474
!= ( c_List_Olist_OCons @ SY2648 @ SV474 @ SY2649 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1792]) ).
thf(2349,plain,
! [SV475: $i] :
( ( ! [SY2650: $i] :
( ( c_Message_Omsg_OAgent @ SV475 )
!= ( hAPP @ c_Message_Omsg_OKey @ SY2650 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1793]) ).
thf(2350,plain,
! [SV476: $i] :
( ( ! [SY2651: $i] :
( ( c_Message_Omsg_OAgent @ SV476 )
!= ( c_Message_Omsg_ONonce @ SY2651 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1794]) ).
thf(2351,plain,
! [SV477: $i] :
( ( ! [SY2652: $i,SY2653: $i,SY2654: $i] :
( ( ( hAPP @ ( c_Public_OpublicKey @ SV477 ) @ SY2652 )
!= ( hAPP @ ( c_Public_OpublicKey @ SY2653 ) @ SY2654 ) )
| ( SV477 = SY2653 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1795]) ).
thf(2352,plain,
! [SV478: $i] :
( ( ! [SY2655: $i,SY2656: $i] :
( ( c_Message_Omsg_OAgent @ SV478 )
!= ( c_Message_Omsg_OCrypt @ SY2655 @ SY2656 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1796]) ).
thf(2353,plain,
! [SV479: $i] :
( ( ! [SY2657: $i,SY2658: $i,SY2659: $i,SY2660: $i] :
( ( ( c_List_Olist_OCons @ SV479 @ SY2657 @ SY2658 )
!= ( c_List_Olist_OCons @ SY2659 @ SY2660 @ SY2658 ) )
| ( SY2657 = SY2660 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1797]) ).
thf(2354,plain,
! [SV480: $i] :
( ( ! [SY2661: $i,SY2662: $i] :
( ( c_Message_Omsg_ONonce @ SV480 )
!= ( c_Message_Omsg_OMPair @ SY2661 @ SY2662 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1798]) ).
thf(2355,plain,
! [SV481: $i] :
( ( ! [SY2663: $i,SY2664: $i,SY2665: $i,SY2666: $i] :
( ( c_Event_Oevent_ONotes @ SV481 @ SY2663 )
!= ( c_Event_Oevent_OSays @ SY2664 @ SY2665 @ SY2666 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1799]) ).
thf(2356,plain,
! [SV482: $i] :
( ( ! [SY2667: $i,SY2668: $i] :
( ( c_Message_Omsg_OCrypt @ SV482 @ SY2667 )
!= ( hAPP @ c_Message_Omsg_OKey @ SY2668 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1800]) ).
thf(2357,plain,
! [SV483: $i] :
( ( ! [SY2669: $i,SY2670: $i,SY2671: $i] :
( ( hAPP @ ( c_Public_OpublicKey @ SV483 ) @ SY2669 )
!= ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SY2670 ) @ SY2671 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1801]) ).
thf(2358,plain,
! [SV484: $i] :
( ( ! [SY2672: $i,SY2673: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV484 @ SY2672 @ ( tc_fun @ SY2673 @ tc_bool ) )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2673 @ tc_bool ) ) )
| ( SY2672
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2673 @ tc_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1802]) ).
thf(2359,plain,
( ( c_Public_Okeymode_OEncryption = c_Public_Okeymode_OSignature )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1803]) ).
thf(2360,plain,
! [SV485: $i] :
( ( ! [SY2674: $i,SY2675: $i] :
( ( c_Message_Omsg_OMPair @ SV485 @ SY2674 )
!= ( c_Message_Omsg_ONonce @ SY2675 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1804]) ).
thf(2361,plain,
! [SV486: $i] :
( ( ! [SY2676: $i,SY2677: $i] :
( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV486 @ tc_bool ) )
!= ( c_Set_Oinsert @ SY2676 @ SY2677 @ SV486 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1805]) ).
thf(2362,plain,
! [SV487: $i] :
( ( ! [SY2678: $i,SY2679: $i] :
( ( ( c_Message_Oanalz @ SV487 )
!= ( c_Message_Oanalz @ SY2678 ) )
| ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SY2679 @ SV487 @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ ( c_Set_Oinsert @ SY2679 @ SY2678 @ tc_Message_Omsg ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1806]) ).
thf(2363,plain,
! [SV488: $i] :
( ( ! [SY2680: $i,SY2681: $i,SY2682: $i] :
( ( c_Event_Oevent_ONotes @ SV488 @ SY2680 )
!= ( c_Event_Oevent_OGets @ SY2681 @ SY2682 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1807]) ).
thf(2364,plain,
! [SV489: $i] :
( ( ! [SY2683: $i,SY2684: $i,SY2685: $i] :
( ( ( c_Message_Omsg_OMPair @ SV489 @ SY2683 )
!= ( c_Message_Omsg_OMPair @ SY2684 @ SY2685 ) )
| ( SY2683 = SY2685 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1808]) ).
thf(2365,plain,
! [SV490: $i] :
( ( ! [SY2686: $i,SY2687: $i,SY2688: $i] :
( ( ( c_Event_Oevent_ONotes @ SV490 @ SY2686 )
!= ( c_Event_Oevent_ONotes @ SY2687 @ SY2688 ) )
| ( SY2686 = SY2688 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1809]) ).
thf(2366,plain,
! [SV491: $i] :
( ( ! [SY2689: $i,SY2690: $i,SY2691: $i] :
( ( ( c_Message_Omsg_OCrypt @ SV491 @ SY2689 )
!= ( c_Message_Omsg_OCrypt @ SY2690 @ SY2691 ) )
| ( SY2689 = SY2691 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1810]) ).
thf(2367,plain,
! [SV492: $i] :
( ( ( c_Message_Oagent_OFriend @ SV492 )
!= c_Message_Oagent_OServer )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1811]) ).
thf(2368,plain,
! [SV493: $i] :
( ( ! [SY2692: $i] :
( ( ( hAPP @ c_Public_OshrK @ SV493 )
!= ( hAPP @ c_Public_OshrK @ SY2692 ) )
| ( SV493 = SY2692 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1812]) ).
thf(2369,plain,
! [SV494: $i] :
( ( ! [SY2693: $i] :
( ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ SV494 ) )
!= ( hAPP @ c_Public_OshrK @ SY2693 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1813]) ).
thf(2370,plain,
! [SV495: $i] :
( ( ! [SY2694: $i,SY2695: $i,SY2696: $i] :
( ( ( c_Set_Oimage @ SV495 @ SY2694 @ SY2695 @ SY2696 )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2696 @ tc_bool ) ) )
| ( SY2694
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2695 @ tc_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1814]) ).
thf(2371,plain,
! [SV496: $i] :
( ( ! [SY2697: $i,SY2698: $i] :
( ~ ( class_Lattices_Oboolean__algebra @ SV496 )
| ( ( c_HOL_Ouminus__class_Ouminus @ SY2697 @ SV496 )
!= ( c_HOL_Ouminus__class_Ouminus @ SY2698 @ SV496 ) )
| ( SY2697 = SY2698 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1815]) ).
thf(2372,plain,
! [SV497: $i] :
( ( ( c_Message_Oagent_OFriend @ SV497 )
!= c_Message_Oagent_OSpy )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1816]) ).
thf(2373,plain,
! [SV498: $i] :
( ( ! [SY2699: $i,SY2700: $i] :
( ( hAPP @ ( c_Public_OpublicKey @ SV498 ) @ SY2699 )
!= ( hAPP @ c_Public_OshrK @ SY2700 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1817]) ).
thf(2374,plain,
! [SV499: $i] :
( ( ! [SY2701: $i,SY2702: $i,SY2703: $i,SY2704: $i,SY2705: $i] :
( ( ( c_Event_Oevent_OSays @ SV499 @ SY2701 @ SY2702 )
!= ( c_Event_Oevent_OSays @ SY2703 @ SY2704 @ SY2705 ) )
| ( SY2702 = SY2705 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1818]) ).
thf(2375,plain,
! [SV500: $i] :
( ( ! [SY2706: $i,SY2707: $i,SY2708: $i] :
( ( ( c_Message_Omsg_OCrypt @ SV500 @ SY2706 )
!= ( c_Message_Omsg_OCrypt @ SY2707 @ SY2708 ) )
| ( SV500 = SY2707 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1819]) ).
thf(2376,plain,
! [SV501: $i] :
( ( ! [SY2709: $i,SY2710: $i,SY2711: $i] :
( ( c_Event_Oevent_OGets @ SV501 @ SY2709 )
!= ( c_Event_Oevent_ONotes @ SY2710 @ SY2711 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1820]) ).
thf(2377,plain,
! [SV502: $i] :
( ( ! [SY2712: $i] :
( ( ( c_List_Oset @ SV502 @ SY2712 )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2712 @ tc_bool ) ) )
| ( SV502
= ( c_List_Olist_ONil @ SY2712 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1821]) ).
thf(2378,plain,
! [SV503: $i] :
( ( ! [SY2713: $i,SY2714: $i] :
( ( c_Message_Omsg_OCrypt @ SV503 @ SY2713 )
!= ( c_Message_Omsg_OAgent @ SY2714 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1822]) ).
thf(2379,plain,
! [SV504: $i] :
( ( ! [SY2715: $i,SY2716: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV504 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SY2715 @ SY2716 @ SV504 )
!= SY2716 )
| ( c_lessequals @ SY2715 @ SY2716 @ SV504 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1823]) ).
thf(2380,plain,
! [SV505: $i] :
( ( ! [SY2717: $i,SY2718: $i,SY2719: $i,SY2720: $i] :
( ( c_Event_Oevent_OSays @ SV505 @ SY2717 @ SY2718 )
!= ( c_Event_Oevent_OGets @ SY2719 @ SY2720 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1824]) ).
thf(2381,plain,
! [SV506: $i] :
( ( ! [SY2721: $i,SY2722: $i] :
( ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV506 ) @ SY2721 ) )
!= ( hAPP @ c_Public_OshrK @ SY2722 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1825]) ).
thf(2382,plain,
! [SV507: $i] :
( ( ! [SY2723: $i,SY2724: $i,SY2725: $i,SY2726: $i] :
( ( c_Event_Oevent_OGets @ SV507 @ SY2723 )
!= ( c_Event_Oevent_OSays @ SY2724 @ SY2725 @ SY2726 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1826]) ).
thf(2383,plain,
! [SV508: $i] :
( ( ! [SY2727: $i] :
( ( ( hAPP @ c_Message_Omsg_OKey @ SV508 )
!= ( hAPP @ c_Message_Omsg_OKey @ SY2727 ) )
| ( SV508 = SY2727 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1827]) ).
thf(2384,plain,
! [SV509: $i] :
( ( ! [SY2728: $i] :
( ( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV509 @ tc_bool ) )
!= ( c_List_Oset @ SY2728 @ SV509 ) )
| ( SY2728
= ( c_List_Olist_ONil @ SV509 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1828]) ).
thf(2385,plain,
! [SV510: $i] :
( ( ! [SY2729: $i,SY2730: $i] :
( ( c_Message_Omsg_ONonce @ SV510 )
!= ( c_Message_Omsg_OCrypt @ SY2729 @ SY2730 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1829]) ).
thf(2386,plain,
! [SV511: $i] :
( ( ! [SY2731: $i,SY2732: $i] :
( ~ ( class_Lattices_Obounded__lattice @ SV511 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SY2731 @ SY2732 @ SV511 )
!= ( c_Orderings_Obot__class_Obot @ SV511 ) )
| ( SY2731
= ( c_Orderings_Obot__class_Obot @ SV511 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1830]) ).
thf(2387,plain,
! [SV512: $i] :
( ( c_Message_Oagent_OServer
!= ( c_Message_Oagent_OFriend @ SV512 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1831]) ).
thf(2388,plain,
! [SV513: $i] :
( ( ! [SY2733: $i,SY2734: $i,SY2735: $i] :
( ( ( c_Message_Oanalz @ SV513 )
!= ( c_Message_Oanalz @ SY2733 ) )
| ( ( c_Message_Oanalz @ SY2734 )
!= ( c_Message_Oanalz @ SY2735 ) )
| ( ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2734 @ SV513 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2735 @ SY2733 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1832]) ).
thf(2389,plain,
! [SV514: $i] :
( ( ! [SY2736: $i,SY2737: $i] :
( ( ( c_Set_Oinsert @ SV514 @ SY2736 @ SY2737 )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2737 @ tc_bool ) ) )
| ( hBOOL @ ( c_in @ SV514 @ SY2736 @ SY2737 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1833]) ).
thf(2390,plain,
! [SV515: $i] :
( ( ! [SY2738: $i,SY2739: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV515 @ SY2738 @ ( tc_fun @ SY2739 @ tc_bool ) )
!= SY2738 )
| ( c_lessequals @ SV515 @ SY2738 @ ( tc_fun @ SY2739 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1834]) ).
thf(2391,plain,
! [SV516: $i] :
( ( ! [SY2740: $i,SY2741: $i] :
( ( c_Message_Omsg_OMPair @ SV516 @ SY2740 )
!= ( c_Message_Omsg_OAgent @ SY2741 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1835]) ).
thf(2392,plain,
! [SV517: $i] :
( ( ! [SY2742: $i,SY2743: $i] :
( ( c_Message_Omsg_OCrypt @ SV517 @ SY2742 )
!= ( c_Message_Omsg_ONonce @ SY2743 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1836]) ).
thf(2393,plain,
! [SV518: $i] :
( ( ! [SY2744: $i,SY2745: $i,SY2746: $i] :
( ( ( c_Set_Oinsert @ SV518 @ SY2744 @ SY2745 )
!= ( c_Set_Oinsert @ SV518 @ SY2746 @ SY2745 ) )
| ( hBOOL @ ( c_in @ SV518 @ SY2746 @ SY2745 ) )
| ( hBOOL @ ( c_in @ SV518 @ SY2744 @ SY2745 ) )
| ( SY2744 = SY2746 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1837]) ).
thf(2394,plain,
! [SV519: $i] :
( ( ! [SY2747: $i,SY2748: $i,SY2749: $i] :
( ( c_Message_Omsg_OCrypt @ SV519 @ SY2747 )
!= ( c_Message_Omsg_OMPair @ SY2748 @ SY2749 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1838]) ).
thf(2395,plain,
! [SV520: $i] :
( ( ! [SY2750: $i,SY2751: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV520 @ SY2750 @ ( tc_fun @ SY2751 @ tc_bool ) )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2751 @ tc_bool ) ) )
| ( SV520
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2751 @ tc_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1839]) ).
thf(2396,plain,
! [SV521: $i] :
( ( ! [SY2752: $i,SY2753: $i] :
( ( c_Message_Omsg_OAgent @ SV521 )
!= ( c_Message_Omsg_OMPair @ SY2752 @ SY2753 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1840]) ).
thf(2397,plain,
! [SV522: $i] :
( ( ! [SY2754: $i,SY2755: $i,SY2756: $i,SY2757: $i,SY2758: $i] :
( ( ( c_Event_Oevent_OSays @ SV522 @ SY2754 @ SY2755 )
!= ( c_Event_Oevent_OSays @ SY2756 @ SY2757 @ SY2758 ) )
| ( SY2754 = SY2757 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1841]) ).
thf(2398,plain,
! [SV523: $i] :
( ( ! [SY2759: $i] :
( ( ( c_Message_Omsg_OAgent @ SV523 )
!= ( c_Message_Omsg_OAgent @ SY2759 ) )
| ( SV523 = SY2759 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1842]) ).
thf(2399,plain,
! [SV524: $i] :
( ( ! [SY2760: $i,SY2761: $i] :
( ( hAPP @ c_Public_OshrK @ SV524 )
!= ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SY2760 ) @ SY2761 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1843]) ).
thf(2400,plain,
! [SV525: $i] :
( ( ! [SY2762: $i,SY2763: $i] :
( ( hAPP @ c_Public_OshrK @ SV525 )
!= ( hAPP @ ( c_Public_OpublicKey @ SY2762 ) @ SY2763 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1844]) ).
thf(2401,plain,
! [SV526: $i] :
( ( ! [SY2764: $i,SY2765: $i,SY2766: $i] :
( ( ( hAPP @ ( c_Public_OpublicKey @ SV526 ) @ SY2764 )
!= ( hAPP @ ( c_Public_OpublicKey @ SY2765 ) @ SY2766 ) )
| ( SY2764 = SY2766 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1845]) ).
thf(2402,plain,
! [SV527: $i] :
( ( ! [SY2767: $i,SY2768: $i] :
( ( c_List_Olist_OCons @ SV527 @ SY2767 @ SY2768 )
!= ( c_List_Olist_ONil @ SY2768 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1846]) ).
thf(2403,plain,
! [SV528: $i] :
( ( ! [SY2769: $i,SY2770: $i] :
( ~ ( class_OrderedGroup_Ogroup__add @ SV528 )
| ( ( c_HOL_Ouminus__class_Ouminus @ SY2769 @ SV528 )
!= ( c_HOL_Ouminus__class_Ouminus @ SY2770 @ SV528 ) )
| ( SY2769 = SY2770 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1847]) ).
thf(2404,plain,
! [SV529: $i] :
( ( ! [SY2771: $i,SY2772: $i,SY2773: $i] :
( ( ( c_Event_Oevent_ONotes @ SV529 @ SY2771 )
!= ( c_Event_Oevent_ONotes @ SY2772 @ SY2773 ) )
| ( SV529 = SY2772 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1848]) ).
thf(2405,plain,
! [SV530: $i] :
( ( ! [SY2774: $i,SY2775: $i,SY2776: $i,SY2777: $i] :
( ( ( c_List_Olist_OCons @ SV530 @ SY2774 @ SY2775 )
!= ( c_List_Olist_OCons @ SY2776 @ SY2777 @ SY2775 ) )
| ( SV530 = SY2776 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1849]) ).
thf(2406,plain,
! [SV531: $i] :
( ( ! [SY2778: $i,SY2779: $i,SY2780: $i,SY2781: $i] :
( ( c_Event_Oevent_OSays @ SV531 @ SY2778 @ SY2779 )
!= ( c_Event_Oevent_ONotes @ SY2780 @ SY2781 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1850]) ).
thf(2407,plain,
! [SV532: $i] :
( ( ! [SY2782: $i,SY2783: $i] :
( ~ ( class_Lattices_Obounded__lattice @ SV532 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SY2782 @ SY2783 @ SV532 )
!= ( c_Orderings_Obot__class_Obot @ SV532 ) )
| ( SY2783
= ( c_Orderings_Obot__class_Obot @ SV532 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1851]) ).
thf(2408,plain,
( ( c_Message_Oagent_OSpy = c_Message_Oagent_OServer )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1852]) ).
thf(2409,plain,
! [SV533: $i] :
( ( ! [SY2784: $i] :
( ( ( hAPP @ c_Message_OinvKey @ SV533 )
!= ( hAPP @ c_Message_OinvKey @ SY2784 ) )
| ( SV533 = SY2784 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1853]) ).
thf(2410,plain,
! [SV534: $i] :
( ( ! [SY2785: $i] :
( ( ( c_Message_Oagent_OFriend @ SV534 )
!= ( c_Message_Oagent_OFriend @ SY2785 ) )
| ( SV534 = SY2785 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1854]) ).
thf(2411,plain,
! [SV535: $i] :
( ( ! [SY2786: $i,SY2787: $i,SY2788: $i,SY2789: $i] :
( ( ( c_Set_Oinsert @ SV535 @ ( c_Set_Oinsert @ SY2786 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2787 @ tc_bool ) ) @ SY2787 ) @ SY2787 )
!= ( c_Set_Oinsert @ SY2788 @ ( c_Set_Oinsert @ SY2789 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2787 @ tc_bool ) ) @ SY2787 ) @ SY2787 ) )
| ( SV535 = SY2789 )
| ( SY2786 = SY2789 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1855]) ).
thf(2412,plain,
( ( c_Message_Oagent_OServer = c_Message_Oagent_OSpy )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1856]) ).
thf(2413,plain,
! [SV536: $i] :
( ( ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SV536 @ tc_bool ) )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV536 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1857]) ).
thf(2414,plain,
! [SV537: $i] :
( ( ! [SY2790: $i,SY2791: $i,SY2792: $i,SY2793: $i] :
( ( ( c_Set_Oinsert @ SV537 @ ( c_Set_Oinsert @ SY2790 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2791 @ tc_bool ) ) @ SY2791 ) @ SY2791 )
!= ( c_Set_Oinsert @ SY2792 @ ( c_Set_Oinsert @ SY2793 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2791 @ tc_bool ) ) @ SY2791 ) @ SY2791 ) )
| ( SY2790 = SY2792 )
| ( SV537 = SY2792 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1858]) ).
thf(2415,plain,
! [SV538: $i] :
( ( ! [SY2794: $i,SY2795: $i] :
( ( hAPP @ c_Message_Omsg_OKey @ SV538 )
!= ( c_Message_Omsg_OMPair @ SY2794 @ SY2795 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1859]) ).
thf(2416,plain,
! [SV539: $i] :
( ( ! [SY2796: $i,SY2797: $i,SY2798: $i,SY2799: $i,SY2800: $i] :
( ( ( c_Event_Oevent_OSays @ SV539 @ SY2796 @ SY2797 )
!= ( c_Event_Oevent_OSays @ SY2798 @ SY2799 @ SY2800 ) )
| ( SV539 = SY2798 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1860]) ).
thf(2417,plain,
! [SV540: $i] :
( ( ! [SY2801: $i,SY2802: $i] :
( ( c_Set_Oinsert @ SV540 @ SY2801 @ SY2802 )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2802 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1861]) ).
thf(2418,plain,
! [SV541: $i] :
( ( ! [SY2803: $i] :
( ( ( c_Message_Omsg_ONonce @ SV541 )
!= ( c_Message_Omsg_ONonce @ SY2803 ) )
| ( SV541 = SY2803 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1862]) ).
thf(2419,plain,
! [SV542: $i] :
( ( ! [SY2804: $i,SY2805: $i] :
( ( ( c_Set_Oinsert @ SV542 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2804 @ tc_bool ) ) @ SY2804 )
!= ( c_Set_Oinsert @ SY2805 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2804 @ tc_bool ) ) @ SY2804 ) )
| ( SV542 = SY2805 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1863]) ).
thf(2420,plain,
( ( c_Public_Okeymode_OSignature = c_Public_Okeymode_OEncryption )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1864]) ).
thf(2421,plain,
! [SV543: $i] :
( ( ! [SY2806: $i,SY2807: $i,SY2808: $i] :
( ( ( c_Event_Oevent_OGets @ SV543 @ SY2806 )
!= ( c_Event_Oevent_OGets @ SY2807 @ SY2808 ) )
| ( SY2806 = SY2808 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1865]) ).
thf(2422,plain,
! [SV544: $i] :
( ( ! [SY2809: $i,SY2810: $i,SY2811: $i,SY2812: $i] :
( ( ( c_Set_Oinsert @ SV544 @ ( c_Set_Oinsert @ SY2809 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2810 @ tc_bool ) ) @ SY2810 ) @ SY2810 )
!= ( c_Set_Oinsert @ SY2811 @ ( c_Set_Oinsert @ SY2812 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2810 @ tc_bool ) ) @ SY2810 ) @ SY2810 ) )
| ( SY2809 = SY2811 )
| ( SY2809 = SY2812 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1866]) ).
thf(2423,plain,
! [SV545: $i] :
( ( ! [SY2813: $i,SY2814: $i] :
( ( c_Message_Omsg_OMPair @ SV545 @ SY2813 )
!= ( hAPP @ c_Message_Omsg_OKey @ SY2814 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1867]) ).
thf(2424,plain,
( ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ v_K @ ( c_Message_Omsg_ONonce @ v_NB ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2 ) ) @ tc_Message_Omsg ) ) )
= $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 ) @ v_X ) ) ) ) ) @ ( c_List_Oset @ v_evs2 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( 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_evs2 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1871]) ).
thf(2425,plain,
! [SV546: $i,SV1: $i] :
( ( ! [SY2815: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV1 ) @ SV546 ) ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV1 ) @ SY2815 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV546 @ SY2815 @ tc_Message_Oagent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1872]) ).
thf(2426,plain,
! [SV547: $i,SV2: $i] :
( ( ! [SY2816: $i,SY2817: $i] :
( ( hBOOL @ ( c_in @ SV2 @ SV547 @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SY2816 ) @ SV2 ) ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SY2817 ) @ SV547 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1873]) ).
thf(2427,plain,
! [SV548: $i,SV3: $i] :
( ( ! [SY2818: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ SV3 ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV548 ) @ SY2818 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1874]) ).
thf(2428,plain,
! [SV549: $i,SV4: $i] :
( ( ! [SY2819: $i,SY2820: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV4 ) @ SV549 ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SY2819 ) @ SY2820 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1875]) ).
thf(2429,plain,
! [SV550: $i,SV5: $i] :
( ( ! [SY2821: $i,SY2822: $i] :
( ( SV5 = SV550 )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV5 ) @ SY2821 ) ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV550 ) @ SY2822 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1876]) ).
thf(2430,plain,
! [SV551: $i,SV6: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ SV6 ) @ ( c_Set_Oimage @ c_Message_OinvKey @ SV551 @ tc_nat @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV6 @ SV551 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1877]) ).
thf(2431,plain,
! [SV552: $i,SV7: $i] :
( ( ( hBOOL @ ( c_in @ SV7 @ SV552 @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ SV7 ) @ ( c_Set_Oimage @ c_Message_OinvKey @ SV552 @ tc_nat @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1878]) ).
thf(2432,plain,
! [SV553: $i,SV8: $i] :
( ( ! [SY2823: $i] :
( ~ ( hBOOL @ ( c_in @ SV8 @ SV553 @ SY2823 ) )
| ~ ( hBOOL @ ( c_in @ SV8 @ ( c_HOL_Ouminus__class_Ouminus @ SV553 @ ( tc_fun @ SY2823 @ tc_bool ) ) @ SY2823 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1879]) ).
thf(2433,plain,
! [SV554: $i,SV9: $i] :
( ( ! [SY2824: $i] :
( ( hBOOL @ ( c_in @ SV9 @ ( c_HOL_Ouminus__class_Ouminus @ SV554 @ ( tc_fun @ SY2824 @ tc_bool ) ) @ SY2824 ) )
| ( hBOOL @ ( c_in @ SV9 @ SV554 @ SY2824 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1880]) ).
thf(2434,plain,
! [SV555: $i,SV10: $i] :
( ( ! [SY2825: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV10 )
| ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV555 @ SV10 ) @ SY2825 @ SV10 )
| ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SY2825 @ SV10 ) @ SV555 @ SV10 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1881]) ).
thf(2435,plain,
! [SV556: $i,SV11: $i] :
( ( ! [SY2826: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV11 )
| ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV556 @ SV11 ) @ SY2826 @ SV11 )
| ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SY2826 @ SV11 ) @ SV556 @ SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1882]) ).
thf(2436,plain,
! [SV557: $i,SV12: $i] :
( ( ! [SY2827: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV12 )
| ( c_lessequals @ SV557 @ ( c_HOL_Ouminus__class_Ouminus @ SY2827 @ SV12 ) @ SV12 )
| ~ ( c_lessequals @ SY2827 @ ( c_HOL_Ouminus__class_Ouminus @ SV557 @ SV12 ) @ SV12 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1883]) ).
thf(2437,plain,
! [SV558: $i,SV13: $i] :
( ( ! [SY2828: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV13 )
| ( c_lessequals @ SV558 @ ( c_HOL_Ouminus__class_Ouminus @ SY2828 @ SV13 ) @ SV13 )
| ~ ( c_lessequals @ SY2828 @ ( c_HOL_Ouminus__class_Ouminus @ SV558 @ SV13 ) @ SV13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1884]) ).
thf(2438,plain,
! [SV559: $i,SV14: $i] :
( ( ~ ( class_OrderedGroup_Ogroup__add @ SV14 )
| ( ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ SV559 @ SV14 ) @ SV14 )
= SV559 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1885]) ).
thf(2439,plain,
! [SV560: $i,SV15: $i] :
( ( ~ ( class_OrderedGroup_Ogroup__add @ SV15 )
| ( SV560
= ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ SV560 @ SV15 ) @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1886]) ).
thf(2440,plain,
! [SV561: $i,SV16: $i] :
( ( ~ ( class_OrderedGroup_Ogroup__add @ SV16 )
| ( SV561
= ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ SV561 @ SV16 ) @ SV16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1887]) ).
thf(2441,plain,
! [SV562: $i,SV17: $i] :
( ( ~ ( class_Lattices_Oboolean__algebra @ SV17 )
| ( ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ SV562 @ SV17 ) @ SV17 )
= SV562 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1888]) ).
thf(2442,plain,
! [SV563: $i,SV18: $i] :
( ( ~ ( class_OrderedGroup_Ogroup__add @ SV18 )
| ( ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ SV563 @ SV18 ) @ SV18 )
= SV563 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1889]) ).
thf(2443,plain,
! [SV564: $i,SV19: $i] :
( ( ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ SV19 @ ( tc_fun @ SV564 @ tc_bool ) ) @ ( tc_fun @ SV564 @ tc_bool ) )
= SV19 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1890]) ).
thf(2444,plain,
! [SV565: $i,SV20: $i] :
( ( ~ ( class_Lattices_Oboolean__algebra @ SV20 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV565 @ ( c_HOL_Ouminus__class_Ouminus @ SV565 @ SV20 ) @ SV20 )
= ( c_Orderings_Otop__class_Otop @ SV20 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1891]) ).
thf(2445,plain,
! [SV566: $i,SV21: $i] :
( ( ~ ( class_Lattices_Oboolean__algebra @ SV21 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_HOL_Ouminus__class_Ouminus @ SV566 @ SV21 ) @ SV566 @ SV21 )
= ( c_Orderings_Otop__class_Otop @ SV21 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1892]) ).
thf(2446,plain,
! [SV567: $i,SV22: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV22 @ ( c_HOL_Ouminus__class_Ouminus @ SV22 @ ( tc_fun @ SV567 @ tc_bool ) ) @ ( tc_fun @ SV567 @ tc_bool ) )
= ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SV567 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1893]) ).
thf(2447,plain,
! [SV568: $i,SV23: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_HOL_Ouminus__class_Ouminus @ SV23 @ ( tc_fun @ SV568 @ tc_bool ) ) @ SV23 @ ( tc_fun @ SV568 @ tc_bool ) )
= ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SV568 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1894]) ).
thf(2448,plain,
! [SV569: $i,SV24: $i] :
( ( ( hBOOL @ ( hAPP @ SV24 @ SV569 ) )
| ~ ( hBOOL @ ( hAPP @ SV24 @ c_Public_Okeymode_OEncryption ) )
| ~ ( hBOOL @ ( hAPP @ SV24 @ c_Public_Okeymode_OSignature ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1895]) ).
thf(2449,plain,
! [SV570: $i,SV25: $i] :
( ( ! [SY2829: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV25 )
| ( c_lessequals @ SV570 @ SY2829 @ SV25 )
| ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SY2829 @ SV25 ) @ ( c_HOL_Ouminus__class_Ouminus @ SV570 @ SV25 ) @ SV25 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1896]) ).
thf(2450,plain,
! [SV571: $i,SV26: $i] :
( ( ! [SY2830: $i] :
( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV26 )
| ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV571 @ SV26 ) @ ( c_HOL_Ouminus__class_Ouminus @ SY2830 @ SV26 ) @ SV26 )
| ~ ( c_lessequals @ SY2830 @ SV571 @ SV26 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1897]) ).
thf(2451,plain,
! [SV572: $i,SV27: $i] :
( ( ! [SY2831: $i] :
( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV27 @ ( tc_fun @ SV572 @ tc_bool ) ) @ ( c_HOL_Ouminus__class_Ouminus @ SY2831 @ ( tc_fun @ SV572 @ tc_bool ) ) @ ( tc_fun @ SV572 @ tc_bool ) )
| ~ ( c_lessequals @ SY2831 @ SV27 @ ( tc_fun @ SV572 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1898]) ).
thf(2452,plain,
! [SV573: $i,SV28: $i] :
( ( ! [SY2832: $i] :
( ( c_lessequals @ SV28 @ SV573 @ ( tc_fun @ SY2832 @ tc_bool ) )
| ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV573 @ ( tc_fun @ SY2832 @ tc_bool ) ) @ ( c_HOL_Ouminus__class_Ouminus @ SV28 @ ( tc_fun @ SY2832 @ tc_bool ) ) @ ( tc_fun @ SY2832 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1899]) ).
thf(2453,plain,
! [SV574: $i,SV29: $i] :
( ( ! [SY2833: $i] :
( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV29 @ ( tc_fun @ SV574 @ tc_bool ) ) @ ( c_HOL_Ouminus__class_Ouminus @ SY2833 @ ( tc_fun @ SV574 @ tc_bool ) ) @ ( tc_fun @ SV574 @ tc_bool ) )
| ~ ( c_lessequals @ SY2833 @ SV29 @ ( tc_fun @ SV574 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1900]) ).
thf(2454,plain,
! [SV31: $i] :
( ( ( ~ ( class_Lattices_Oboolean__algebra @ SV31 ) )
= $true )
| ( ( ( c_HOL_Ouminus__class_Ouminus @ ( c_Orderings_Otop__class_Otop @ SV31 ) @ SV31 )
= ( c_Orderings_Obot__class_Obot @ SV31 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1902]) ).
thf(2455,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)],[1904]) ).
thf(2456,plain,
! [SV575: $i,SV33: $i] :
( ( ~ ( class_HOL_Ouminus @ SV33 )
| ( ( hAPP @ ( c_HOL_Ouminus__class_Ouminus @ SV575 @ ( tc_fun @ t_a @ SV33 ) ) @ v_x )
= ( c_HOL_Ouminus__class_Ouminus @ ( hAPP @ SV575 @ v_x ) @ SV33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1905]) ).
thf(2457,plain,
! [SV34: $i] :
( ( ( ~ ( class_Lattices_Oboolean__algebra @ SV34 ) )
= $true )
| ( ( ( c_HOL_Ouminus__class_Ouminus @ ( c_Orderings_Obot__class_Obot @ SV34 ) @ SV34 )
= ( c_Orderings_Otop__class_Otop @ SV34 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1906]) ).
thf(2458,plain,
! [SV576: $i,SV36: $i] :
( ( ( SV36
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV576 @ tc_bool ) ) )
| ~ ( c_lessequals @ SV36 @ ( c_HOL_Ouminus__class_Ouminus @ SV36 @ ( tc_fun @ SV576 @ tc_bool ) ) @ ( tc_fun @ SV576 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1908]) ).
thf(2459,plain,
! [SV577: $i,SV37: $i] :
( ( ( c_lessequals @ ( c_Message_OkeysFor @ SV37 ) @ ( c_Message_OkeysFor @ SV577 ) @ ( tc_fun @ tc_nat @ tc_bool ) )
| ~ ( c_lessequals @ SV37 @ SV577 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1909]) ).
thf(2460,plain,
! [SV39: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ SV39 ) ) @ c_Message_OsymKeys @ tc_nat ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1911]) ).
thf(2461,plain,
! [SV578: $i,SV40: $i] :
( ( ~ ( class_Orderings_Obot @ SV40 )
| ( c_lessequals @ ( c_Orderings_Obot__class_Obot @ SV40 ) @ SV578 @ SV40 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1912]) ).
thf(2462,plain,
! [SV579: $i,SV41: $i] :
( ( c_lessequals @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV41 @ tc_bool ) ) @ SV579 @ ( tc_fun @ SV41 @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1913]) ).
thf(2463,plain,
! [SV580: $i,SV42: $i] :
( ( ( c_lessequals @ ( c_Message_Osynth @ SV42 ) @ ( c_Message_Osynth @ SV580 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ SV42 @ SV580 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1914]) ).
thf(2464,plain,
! [SV581: $i,SV43: $i] :
( ( ! [SY2834: $i] :
( ( hBOOL @ ( c_in @ SV43 @ ( c_Message_Osynth @ SV581 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY2834 @ ( c_Message_Osynth @ SV581 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV43 @ ( c_Message_Osynth @ ( c_Set_Oinsert @ SY2834 @ SV581 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1915]) ).
thf(2465,plain,
! [SV582: $i,SV44: $i] :
( ( ! [SY2835: $i,SY2836: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ SV44 @ ( c_Set_Oinsert @ SV582 @ SY2835 @ SY2836 ) @ ( tc_fun @ SY2836 @ tc_bool ) )
= ( c_Set_Oinsert @ SV582 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV44 @ SY2835 @ ( tc_fun @ SY2836 @ tc_bool ) ) @ SY2836 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1916]) ).
thf(2466,plain,
! [SV583: $i,SV45: $i] :
( ( ! [SY2837: $i,SY2838: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oinsert @ SV45 @ SV583 @ SY2837 ) @ SY2838 @ ( tc_fun @ SY2837 @ tc_bool ) )
= ( c_Set_Oinsert @ SV45 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV583 @ SY2838 @ ( tc_fun @ SY2837 @ tc_bool ) ) @ SY2837 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1917]) ).
thf(2467,plain,
! [SV46: $i] :
( ( ( ~ ( class_Orderings_Obot @ SV46 ) )
= $true )
| ( ( ( hAPP @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ t_a @ SV46 ) ) @ v_x )
= ( c_Orderings_Obot__class_Obot @ SV46 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1918]) ).
thf(2468,plain,
! [SV584: $i,SV47: $i] :
( ( ! [SY2839: $i] :
( ( SV47 = SV584 )
| ~ ( hBOOL @ ( c_in @ SV47 @ ( c_Set_Oinsert @ SV584 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2839 @ tc_bool ) ) @ SY2839 ) @ SY2839 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1919]) ).
thf(2469,plain,
! [SV585: $i,SV49: $i] :
( ( ! [SY2840: $i] :
( ~ ( class_Lattices_Olattice @ SV49 )
| ( ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV585 @ SY2840 @ ( tc_fun @ t_a @ SV49 ) ) @ v_x )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( hAPP @ SV585 @ v_x ) @ ( hAPP @ SY2840 @ v_x ) @ SV49 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1921]) ).
thf(2470,plain,
! [SV586: $i,SV50: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV50 @ SV50 @ ( tc_fun @ SV586 @ tc_bool ) )
= SV50 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1922]) ).
thf(2471,plain,
! [SV587: $i,SV51: $i] :
( ( ~ ( class_Lattices_Oupper__semilattice @ SV51 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV587 @ SV587 @ SV51 )
= SV587 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1923]) ).
thf(2472,plain,
! [SV588: $i,SV53: $i] :
( ( ( c_lessequals @ ( c_Message_Osynth @ SV53 ) @ ( c_Message_Osynth @ SV588 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ SV53 @ ( c_Message_Osynth @ SV588 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1925]) ).
thf(2473,plain,
! [SV589: $i,SV54: $i] :
( ( ( c_lessequals @ SV54 @ ( c_Message_Osynth @ SV589 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Osynth @ SV54 ) @ ( c_Message_Osynth @ SV589 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1926]) ).
thf(2474,plain,
! [SV590: $i,SV55: $i] :
( ( ! [SY2841: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ SV55 @ ( c_Set_Oinsert @ SV590 @ SY2841 @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV55 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV590 @ ( 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 @ SY2841 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1927]) ).
thf(2475,plain,
! [SV591: $i,SV56: $i] :
( ( ! [SY2842: $i] :
( ( c_Set_Oinsert @ SV56 @ ( c_Set_Oinsert @ SV591 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2842 @ tc_bool ) ) @ SY2842 ) @ SY2842 )
= ( c_Set_Oinsert @ SV591 @ ( c_Set_Oinsert @ SV56 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2842 @ tc_bool ) ) @ SY2842 ) @ SY2842 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1928]) ).
thf(2476,plain,
! [SV592: $i,SV57: $i] :
( ( ! [SY2843: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV57 @ SV592 @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY2843 ) ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2843 @ SV592 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV57 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY2843 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1929]) ).
thf(2477,plain,
! [SV593: $i,SV58: $i] :
( ( ! [SY2844: $i] :
( ( c_Set_Oimage @ SV58 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV593 @ tc_bool ) ) @ SV593 @ SY2844 )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2844 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1930]) ).
thf(2478,plain,
! [SV59: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV59 ) )
= $true )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_ONil @ SV59 ) @ SV59 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1931]) ).
thf(2479,plain,
! [SV594: $i,SV60: $i] :
( ( ! [SY2845: $i,SY2846: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ SV60 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV594 @ SY2845 @ ( tc_fun @ SY2846 @ tc_bool ) ) @ ( tc_fun @ SY2846 @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV594 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV60 @ SY2845 @ ( tc_fun @ SY2846 @ tc_bool ) ) @ ( tc_fun @ SY2846 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1932]) ).
thf(2480,plain,
! [SV595: $i,SV61: $i] :
( ( ! [SY2847: $i,SY2848: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV61 @ SV595 @ ( tc_fun @ SY2847 @ tc_bool ) ) @ SY2848 @ ( tc_fun @ SY2847 @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV61 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV595 @ SY2848 @ ( tc_fun @ SY2847 @ tc_bool ) ) @ ( tc_fun @ SY2847 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1933]) ).
thf(2481,plain,
! [SV596: $i,SV62: $i] :
( ( ! [SY2849: $i,SY2850: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV62 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV596 @ SY2849 @ SV62 ) @ SY2850 @ SV62 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV596 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2849 @ SY2850 @ SV62 ) @ SV62 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1934]) ).
thf(2482,plain,
! [SV597: $i,SV63: $i] :
( ( ! [SY2851: $i,SY2852: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV63 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV597 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2851 @ SY2852 @ SV63 ) @ SV63 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SY2851 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV597 @ SY2852 @ SV63 ) @ SV63 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1935]) ).
thf(2483,plain,
! [SV598: $i,SV64: $i] :
( ( ! [SY2853: $i,SY2854: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ SV64 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV598 @ SY2853 @ ( tc_fun @ SY2854 @ tc_bool ) ) @ ( tc_fun @ SY2854 @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV64 @ SV598 @ ( tc_fun @ SY2854 @ tc_bool ) ) @ SY2853 @ ( tc_fun @ SY2854 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1936]) ).
thf(2484,plain,
! [SV599: $i,SV65: $i] :
( ( ! [SY2855: $i,SY2856: $i] :
( ~ ( class_Lattices_Olattice @ SV65 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV599 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2855 @ SY2856 @ SV65 ) @ SV65 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SY2855 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV599 @ SY2856 @ SV65 ) @ SV65 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1937]) ).
thf(2485,plain,
! [SV600: $i,SV66: $i] :
( ( ! [SY2857: $i,SY2858: $i] :
( ~ ( class_Lattices_Olattice @ SV66 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV600 @ SY2857 @ SV66 ) @ SY2858 @ SV66 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV600 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2857 @ SY2858 @ SV66 ) @ SV66 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1938]) ).
thf(2486,plain,
! [SV601: $i,SV67: $i] :
( ( ! [SY2859: $i,SY2860: $i] :
( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV67 @ SV601 @ ( tc_fun @ SY2859 @ tc_bool ) ) @ SY2860 @ ( tc_fun @ SY2859 @ tc_bool ) )
| ~ ( c_lessequals @ SV601 @ SY2860 @ ( tc_fun @ SY2859 @ tc_bool ) )
| ~ ( c_lessequals @ SV67 @ SY2860 @ ( tc_fun @ SY2859 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1939]) ).
thf(2487,plain,
! [SV602: $i,SV68: $i] :
( ( ! [SY2861: $i] : ( c_lessequals @ SV68 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV602 @ SV68 @ ( tc_fun @ SY2861 @ tc_bool ) ) @ ( tc_fun @ SY2861 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1940]) ).
thf(2488,plain,
! [SV603: $i,SV69: $i] :
( ( ! [SY2862: $i] : ( c_lessequals @ SV69 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV69 @ SV603 @ ( tc_fun @ SY2862 @ tc_bool ) ) @ ( tc_fun @ SY2862 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1941]) ).
thf(2489,plain,
! [SV604: $i,SV70: $i] :
( ( ! [SY2863: $i,SY2864: $i] :
( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV70 @ SV604 @ ( tc_fun @ SY2863 @ tc_bool ) ) @ SY2864 @ ( tc_fun @ SY2863 @ tc_bool ) )
| ~ ( c_lessequals @ SV604 @ SY2864 @ ( tc_fun @ SY2863 @ tc_bool ) )
| ~ ( c_lessequals @ SV70 @ SY2864 @ ( tc_fun @ SY2863 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1942]) ).
thf(2490,plain,
! [SV605: $i,SV71: $i] :
( ( ! [SY2865: $i,SY2866: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV71 )
| ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV605 @ SY2865 @ SV71 ) @ SY2866 @ SV71 )
| ~ ( c_lessequals @ SY2865 @ SY2866 @ SV71 )
| ~ ( c_lessequals @ SV605 @ SY2866 @ SV71 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1943]) ).
thf(2491,plain,
! [SV606: $i,SV72: $i] :
( ( ! [SY2867: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV72 )
| ( c_lessequals @ SV606 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV606 @ SY2867 @ SV72 ) @ SV72 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1944]) ).
thf(2492,plain,
! [SV607: $i,SV73: $i] :
( ( ! [SY2868: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV73 )
| ( c_lessequals @ SV607 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2868 @ SV607 @ SV73 ) @ SV73 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1945]) ).
thf(2493,plain,
! [SV608: $i,SV74: $i] :
( ( ! [SY2869: $i,SY2870: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV74 )
| ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV608 @ SY2869 @ SV74 ) @ SY2870 @ SV74 )
| ~ ( c_lessequals @ SY2869 @ SY2870 @ SV74 )
| ~ ( c_lessequals @ SV608 @ SY2870 @ SV74 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1946]) ).
thf(2494,plain,
! [SV609: $i,SV75: $i] :
( ( ! [SY2871: $i,SY2872: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV75 )
| ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV609 @ SY2871 @ SV75 ) @ SY2872 @ SV75 )
| ~ ( c_lessequals @ SY2871 @ SY2872 @ SV75 )
| ~ ( c_lessequals @ SV609 @ SY2872 @ SV75 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1947]) ).
thf(2495,plain,
! [SV610: $i,SV76: $i] :
( ( ! [SY2873: $i] :
( ~ ( class_Lattices_Olattice @ SV76 )
| ( c_lessequals @ SV610 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2873 @ SV610 @ SV76 ) @ SV76 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1948]) ).
thf(2496,plain,
! [SV611: $i,SV77: $i] :
( ( ! [SY2874: $i] :
( ~ ( class_Lattices_Olattice @ SV77 )
| ( c_lessequals @ SV611 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV611 @ SY2874 @ SV77 ) @ SV77 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1949]) ).
thf(2497,plain,
! [SV612: $i,SV78: $i] :
( ( ! [SY2875: $i,SY2876: $i] :
( ~ ( class_Orderings_Olinorder @ SV78 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV612 @ SY2875 @ SV78 ) @ SV78 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY2876 @ ( c_List_Olist_OCons @ SV612 @ SY2875 @ SV78 ) @ SV78 ) @ SV78 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1950]) ).
thf(2498,plain,
! [SV613: $i,SV79: $i] :
( ( ! [SY2877: $i] :
( ~ ( class_Orderings_Olinorder @ SV79 )
| ( c_List_Olinorder__class_Osorted @ SV613 @ SV79 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY2877 @ SV613 @ SV79 ) @ SV79 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1951]) ).
thf(2499,plain,
! [SV614: $i,SV80: $i] :
( ( ! [SY2878: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ SV80 @ SV614 @ ( tc_fun @ SY2878 @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV614 @ SV80 @ ( tc_fun @ SY2878 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1952]) ).
thf(2500,plain,
! [SV615: $i,SV81: $i] :
( ( ! [SY2879: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV81 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV615 @ SY2879 @ SV81 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SY2879 @ SV615 @ SV81 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1953]) ).
thf(2501,plain,
! [SV616: $i,SV82: $i] :
( ( ! [SY2880: $i] :
( ~ ( class_Lattices_Olattice @ SV82 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV616 @ SY2880 @ SV82 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SY2880 @ SV616 @ SV82 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1954]) ).
thf(2502,plain,
! [SV617: $i,SV83: $i] :
( ( ! [SY2881: $i] :
( ( c_Set_Oinsert @ SV83 @ SV617 @ SY2881 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oinsert @ SV83 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2881 @ tc_bool ) ) @ SY2881 ) @ SV617 @ ( tc_fun @ SY2881 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1955]) ).
thf(2503,plain,
! [SV618: $i,SV84: $i] :
( ( ! [SY2882: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ SV84 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV84 @ SV618 @ ( tc_fun @ SY2882 @ tc_bool ) ) @ ( tc_fun @ SY2882 @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV84 @ SV618 @ ( tc_fun @ SY2882 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1956]) ).
thf(2504,plain,
! [SV619: $i,SV85: $i] :
( ( ! [SY2883: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV85 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV619 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV619 @ SY2883 @ SV85 ) @ SV85 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV619 @ SY2883 @ SV85 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1957]) ).
thf(2505,plain,
! [SV620: $i,SV86: $i] :
( ( ! [SY2884: $i] :
( ~ ( class_Lattices_Olattice @ SV86 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV620 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV620 @ SY2884 @ SV86 ) @ SV86 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV620 @ SY2884 @ SV86 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1958]) ).
thf(2506,plain,
! [SV621: $i,SV89: $i] :
( ( ! [SY2885: $i] :
( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV89 @ tc_bool ) )
= ( c_Set_Oimage @ SV621 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2885 @ tc_bool ) ) @ SY2885 @ SV89 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1961]) ).
thf(2507,plain,
! [SV622: $i,SV90: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV90 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV622 @ ( c_List_Olist_ONil @ SV90 ) @ SV90 ) @ SV90 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1962]) ).
thf(2508,plain,
! [SV623: $i,SV91: $i] :
( ( ! [SY2886: $i] :
( ( hBOOL @ ( c_in @ SV91 @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV623 ) ) @ ( c_Message_Oparts @ SV623 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY2886 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV623 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV91 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SY2886 @ ( 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)],[1963]) ).
thf(2509,plain,
! [SV624: $i,SV92: $i] :
( ( ! [SY2887: $i,SY2888: $i] :
( ( hBOOL @ ( c_in @ SV92 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV624 @ SY2887 @ ( tc_fun @ SY2888 @ tc_bool ) ) @ SY2888 ) )
| ~ ( hBOOL @ ( c_in @ SV92 @ SV624 @ SY2888 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1964]) ).
thf(2510,plain,
! [SV625: $i,SV93: $i] :
( ( ! [SY2889: $i,SY2890: $i] :
( ( hBOOL @ ( c_in @ SV93 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV625 @ SY2889 @ ( tc_fun @ SY2890 @ tc_bool ) ) @ SY2890 ) )
| ~ ( hBOOL @ ( c_in @ SV93 @ SY2889 @ SY2890 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1965]) ).
thf(2511,plain,
! [SV626: $i,SV94: $i] :
( ( ~ ( hBOOL @ ( c_in @ SV94 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV626 @ tc_bool ) ) @ SV626 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1966]) ).
thf(2512,plain,
! [SV627: $i,SV95: $i] :
( ( ! [SY2891: $i] :
( ( hBOOL @ ( hAPP @ SV95 @ SV627 ) )
| ~ ( hBOOL @ ( c_in @ SV627 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2891 @ tc_bool ) ) @ SY2891 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1967]) ).
thf(2513,plain,
! [SV628: $i,SV96: $i] :
( ( ~ ( hBOOL @ ( c_in @ SV96 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV628 @ tc_bool ) ) @ SV628 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1968]) ).
thf(2514,plain,
! [SV629: $i,SV97: $i] :
( ( ~ ( hBOOL @ ( c_in @ SV97 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV629 @ tc_bool ) ) @ SV629 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1969]) ).
thf(2515,plain,
! [SV630: $i,SV98: $i] :
( ( ! [SY2892: $i,SY2893: $i] :
( ( hBOOL @ ( c_in @ SV98 @ SV630 @ SY2892 ) )
| ( hBOOL @ ( c_in @ SV98 @ SY2893 @ SY2892 ) )
| ~ ( hBOOL @ ( c_in @ SV98 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2893 @ SV630 @ ( tc_fun @ SY2892 @ tc_bool ) ) @ SY2892 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1970]) ).
thf(2516,plain,
! [SV631: $i,SV99: $i] :
( ( ! [SY2894: $i] :
( ~ ( hBOOL @ ( hAPP @ SV99 @ SV631 ) )
| ~ ( hBOOL @ ( c_in @ SV631 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2894 @ tc_bool ) ) @ SY2894 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1971]) ).
thf(2517,plain,
! [SV632: $i,SV100: $i] :
( ( ( hBOOL @ ( c_in @ SV100 @ ( c_Message_Osynth @ SV632 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV100 @ SV632 @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1972]) ).
thf(2518,plain,
! [SV633: $i,SV101: $i] :
( ( ( hBOOL @ ( c_in @ SV101 @ ( c_Message_Osynth @ SV633 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV101 @ ( c_Message_Osynth @ ( c_Message_Osynth @ SV633 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1973]) ).
thf(2519,plain,
! [SV634: $i,SV102: $i] :
( ( ! [SY2895: $i] :
( ( hBOOL @ ( c_in @ SV102 @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV634 ) ) @ ( c_Message_Oparts @ SV634 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY2895 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV634 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV102 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SY2895 @ SV634 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1974]) ).
thf(2520,plain,
! [SV635: $i,SV103: $i] :
( ( ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV103 @ SV635 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ SV103 ) @ ( c_Message_Oparts @ SV635 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1975]) ).
thf(2521,plain,
! [SV636: $i,SV104: $i] :
( ( ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oanalz @ SV104 ) @ SV636 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV104 @ SV636 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1976]) ).
thf(2522,plain,
! [SV637: $i,SV105: $i] :
( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ SV105 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV637 ) @ tc_Message_Omsg ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV105 @ ( 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 @ SV637 ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1977]) ).
thf(2523,plain,
! [SV638: $i,SV107: $i] :
( ( ! [SY2896: $i,SY2897: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV107 ) ) @ ( c_Message_Oparts @ SV638 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV107 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2896 @ SV638 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SY2897 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV638 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV107 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SY2897 @ SY2896 @ tc_Message_Omsg ) ) ) @ tc_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1979]) ).
thf(2524,plain,
! [SV639: $i,SV108: $i] :
( ( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV108 @ SV639 @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV639 ) ) @ ( c_Message_Oparts @ SV639 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV108 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV639 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1980]) ).
thf(2525,plain,
! [SV640: $i,SV109: $i] :
( ( ! [SY2898: $i,SY2899: $i] :
( ( c_Event_Oused @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV109 @ SV640 @ SY2898 ) @ SY2899 @ tc_Event_Oevent ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SY2898 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Event_Oused @ SY2899 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1981]) ).
thf(2526,plain,
! [SV641: $i,SV110: $i] :
( ( ! [SY2900: $i] :
( ( c_Event_Oused @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV110 @ SV641 ) @ SY2900 @ tc_Event_Oevent ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV641 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Event_Oused @ SY2900 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1982]) ).
thf(2527,plain,
! [SV642: $i,SV111: $i] :
( ( ! [SY2901: $i] :
( ( hBOOL @ ( c_in @ SV111 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV642 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SY2901 @ SV111 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV642 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1983]) ).
thf(2528,plain,
! [SV643: $i,SV112: $i] :
( ( ! [SY2902: $i] :
( ( hBOOL @ ( c_in @ SV112 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV643 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV112 @ SY2902 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV643 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1984]) ).
thf(2529,plain,
! [SV644: $i,SV113: $i] :
( ( ! [SY2903: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV113 @ SV644 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY2903 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV644 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY2903 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV113 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY2903 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1985]) ).
thf(2530,plain,
! [SV645: $i,SV114: $i] :
( ( ! [SY2904: $i] :
~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV114 @ SV645 ) @ ( c_Message_Oparts @ ( c_Event_OinitState @ SY2904 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1986]) ).
thf(2531,plain,
! [SV646: $i,SV115: $i] :
( ( ! [SY2905: $i] :
~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV115 @ SV646 ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SY2905 @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1987]) ).
thf(2532,plain,
! [SV647: $i,SV116: $i] :
( ( ! [SY2906: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV116 @ SV647 ) @ ( c_Message_Osynth @ SY2906 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV116 @ SV647 ) @ SY2906 @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV116 ) @ SY2906 @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1988]) ).
thf(2533,plain,
! [SV648: $i,SV117: $i] :
( ( ! [SY2907: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV117 @ SV648 ) @ SY2907 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV117 @ SV648 ) @ ( c_Message_Osynth @ SY2907 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV117 ) @ SY2907 @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1989]) ).
thf(2534,plain,
! [SV649: $i,SV118: $i] :
( ( ! [SY2908: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV118 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV649 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2908 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV118 @ SV649 @ tc_nat ) )
| ~ ( c_lessequals @ SV649 @ ( 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 @ SY2908 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1990]) ).
thf(2535,plain,
! [SV650: $i,SV119: $i] :
( ( ! [SY2909: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV119 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV650 ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV119 @ SY2909 @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV119 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SY2909 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV650 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SY2909 @ ( 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 @ SV650 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1991]) ).
thf(2536,plain,
! [SV651: $i,SV120: $i] :
( ( ! [SY2910: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV120 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV651 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2910 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV120 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2910 ) ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SV651 @ ( 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 @ SY2910 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1992]) ).
thf(2537,plain,
! [SV652: $i,SV121: $i] :
( ( ~ ( class_Lattices_Obounded__lattice @ SV121 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV652 @ ( c_Orderings_Otop__class_Otop @ SV121 ) @ SV121 )
= ( c_Orderings_Otop__class_Otop @ SV121 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1993]) ).
thf(2538,plain,
! [SV653: $i,SV122: $i] :
( ( ~ ( class_Lattices_Obounded__lattice @ SV122 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Otop__class_Otop @ SV122 ) @ SV653 @ SV122 )
= ( c_Orderings_Otop__class_Otop @ SV122 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1994]) ).
thf(2539,plain,
! [SV654: $i,SV123: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SV123 @ tc_bool ) ) @ SV654 @ ( tc_fun @ SV123 @ tc_bool ) )
= ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SV123 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1995]) ).
thf(2540,plain,
! [SV655: $i,SV124: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV124 @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SV655 @ tc_bool ) ) @ ( tc_fun @ SV655 @ tc_bool ) )
= ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SV655 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1996]) ).
thf(2541,plain,
! [SV656: $i,SV125: $i] :
( ( ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ SV125 ) @ SV656 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV125 @ SV656 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( c_Message_Osynth @ SV125 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1997]) ).
thf(2542,plain,
! [SV657: $i,SV126: $i] :
( ( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV126 @ ( 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 @ SV657 ) ) @ ( c_Message_Oparts @ SV657 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV126 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV657 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1998]) ).
thf(2543,plain,
! [SV658: $i,SV127: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ SV127 @ ( c_Message_Osynth @ SV658 ) @ tc_Message_Omsg ) @ ( c_Message_Osynth @ ( c_Set_Oinsert @ SV127 @ SV658 @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1999]) ).
thf(2544,plain,
! [SV659: $i,SV128: $i] :
( ( ! [SY2911: $i,SY2912: $i] :
( ( hBOOL @ ( hAPP @ SV128 @ SV659 ) )
| ( hBOOL @ ( hAPP @ SY2911 @ SV659 ) )
| ~ ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2911 @ SV128 @ ( tc_fun @ SY2912 @ tc_bool ) ) @ SV659 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2000]) ).
thf(2545,plain,
! [SV660: $i,SV129: $i] :
( ( ! [SY2913: $i,SY2914: $i] :
( ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV129 @ SV660 @ ( tc_fun @ SY2913 @ tc_bool ) ) @ SY2914 ) )
| ~ ( hBOOL @ ( hAPP @ SV660 @ SY2914 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2001]) ).
thf(2546,plain,
! [SV661: $i,SV130: $i] :
( ( ! [SY2915: $i,SY2916: $i] :
( ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV130 @ SV661 @ ( tc_fun @ SY2915 @ tc_bool ) ) @ SY2916 ) )
| ~ ( hBOOL @ ( hAPP @ SV130 @ SY2916 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2002]) ).
thf(2547,plain,
! [SV662: $i,SV131: $i] :
( ( ~ ( class_Lattices_Obounded__lattice @ SV131 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV662 @ ( c_Orderings_Obot__class_Obot @ SV131 ) @ SV131 )
= SV662 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2003]) ).
thf(2548,plain,
! [SV663: $i,SV132: $i] :
( ( ~ ( class_Lattices_Obounded__lattice @ SV132 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Obot__class_Obot @ SV132 ) @ SV663 @ SV132 )
= SV663 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2004]) ).
thf(2549,plain,
! [SV664: $i,SV133: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV133 @ tc_bool ) ) @ SV664 @ ( tc_fun @ SV133 @ tc_bool ) )
= SV664 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2005]) ).
thf(2550,plain,
! [SV665: $i,SV134: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV134 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV665 @ tc_bool ) ) @ ( tc_fun @ SV665 @ tc_bool ) )
= SV134 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2006]) ).
thf(2551,plain,
! [SV666: $i,SV135: $i] :
( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ SV135 ) @ ( c_Message_Osynth @ SV666 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Message_Osynth @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV135 @ SV666 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2007]) ).
thf(2552,plain,
! [SV667: $i,SV136: $i] :
( ( ~ ( hBOOL @ ( hAPP @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV136 @ tc_bool ) ) @ SV667 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2008]) ).
thf(2553,plain,
! [SV668: $i,SV137: $i] :
( ( ! [SY2917: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ SV137 @ ( c_Event_Oknows @ SV668 @ SY2917 ) @ tc_Message_Omsg ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV137 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ SV668 @ SY2917 ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2009]) ).
thf(2554,plain,
! [SV669: $i,SV138: $i] :
( ( ! [SY2918: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV138 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV669 @ SY2918 @ SV138 )
= SV669 )
| ~ ( c_lessequals @ SY2918 @ SV669 @ SV138 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2010]) ).
thf(2555,plain,
! [SV670: $i,SV139: $i] :
( ( ! [SY2919: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV139 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV670 @ SY2919 @ SV139 )
= SY2919 )
| ~ ( c_lessequals @ SV670 @ SY2919 @ SV139 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2011]) ).
thf(2556,plain,
! [SV671: $i,SV140: $i] :
( ( ! [SY2920: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV140 @ SV671 @ ( tc_fun @ SY2920 @ tc_bool ) )
= SV671 )
| ~ ( c_lessequals @ SV140 @ SV671 @ ( tc_fun @ SY2920 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2012]) ).
thf(2557,plain,
! [SV672: $i,SV141: $i] :
( ( ! [SY2921: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV141 @ SV672 @ ( tc_fun @ SY2921 @ tc_bool ) )
= SV141 )
| ~ ( c_lessequals @ SV672 @ SV141 @ ( tc_fun @ SY2921 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2013]) ).
thf(2558,plain,
! [SV673: $i,SV142: $i] :
( ( ( SV142
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV673 @ tc_bool ) ) )
| ~ ( c_lessequals @ SV142 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV673 @ tc_bool ) ) @ ( tc_fun @ SV673 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2014]) ).
thf(2559,plain,
! [SV674: $i,SV144: $i] :
( ( ! [SY2922: $i,SY2923: $i,SY2924: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ SV144 @ SV674 @ SY2922 @ SY2923 ) @ ( c_Set_Oimage @ SV144 @ SY2924 @ SY2922 @ SY2923 ) @ ( tc_fun @ SY2923 @ tc_bool ) )
= ( c_Set_Oimage @ SV144 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV674 @ SY2924 @ ( tc_fun @ SY2922 @ tc_bool ) ) @ SY2922 @ SY2923 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2016]) ).
thf(2560,plain,
! [SV675: $i,SV145: $i] :
( ( ! [SY2925: $i,SY2926: $i,SY2927: $i] :
( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV145 @ SV675 @ ( tc_fun @ SY2925 @ tc_bool ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2926 @ SY2927 @ ( tc_fun @ SY2925 @ tc_bool ) ) @ ( tc_fun @ SY2925 @ tc_bool ) )
| ~ ( c_lessequals @ SV675 @ SY2927 @ ( tc_fun @ SY2925 @ tc_bool ) )
| ~ ( c_lessequals @ SV145 @ SY2926 @ ( tc_fun @ SY2925 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2017]) ).
thf(2561,plain,
! [SV676: $i,SV150: $i] :
( ( ! [SY2928: $i,SY2929: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV150 )
| ( c_lessequals @ SV676 @ SY2928 @ SV150 )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2929 @ SV676 @ SV150 ) @ SY2928 @ SV150 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2022]) ).
thf(2562,plain,
! [SV677: $i,SV151: $i] :
( ( ! [SY2930: $i,SY2931: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV151 )
| ( c_lessequals @ SV677 @ SY2930 @ SV151 )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV677 @ SY2931 @ SV151 ) @ SY2930 @ SV151 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2023]) ).
thf(2563,plain,
! [SV678: $i,SV152: $i] :
( ( ! [SY2932: $i,SY2933: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV152 )
| ( c_lessequals @ SV678 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2932 @ SY2933 @ SV152 ) @ SV152 )
| ~ ( c_lessequals @ SV678 @ SY2933 @ SV152 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2024]) ).
thf(2564,plain,
! [SV679: $i,SV153: $i] :
( ( ! [SY2934: $i,SY2935: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV153 )
| ( c_lessequals @ SV679 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2934 @ SY2935 @ SV153 ) @ SV153 )
| ~ ( c_lessequals @ SV679 @ SY2934 @ SV153 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2025]) ).
thf(2565,plain,
! [SV680: $i,SV154: $i] :
( ( ! [SY2936: $i,SY2937: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV154 )
| ( c_lessequals @ SV680 @ SY2936 @ SV154 )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2937 @ SV680 @ SV154 ) @ SY2936 @ SV154 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2026]) ).
thf(2566,plain,
! [SV681: $i,SV155: $i] :
( ( ! [SY2938: $i,SY2939: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV155 )
| ( c_lessequals @ SV681 @ SY2938 @ SV155 )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV681 @ SY2939 @ SV155 ) @ SY2938 @ SV155 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2027]) ).
thf(2567,plain,
! [SV682: $i,SV156: $i] :
( ( ! [SY2940: $i,SY2941: $i] :
( ( c_lessequals @ SV156 @ SV682 @ ( tc_fun @ SY2940 @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV156 @ SY2941 @ ( tc_fun @ SY2940 @ tc_bool ) ) @ SV682 @ ( tc_fun @ SY2940 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2028]) ).
thf(2568,plain,
! [SV683: $i,SV157: $i] :
( ( ! [SY2942: $i,SY2943: $i] :
( ( c_lessequals @ SV157 @ SV683 @ ( tc_fun @ SY2942 @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2943 @ SV157 @ ( tc_fun @ SY2942 @ tc_bool ) ) @ SV683 @ ( tc_fun @ SY2942 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2029]) ).
thf(2569,plain,
! [SV684: $i,SV158: $i] :
( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ SV158 @ SV684 @ tc_Message_Omsg ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV158 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Message_Oparts @ SV684 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2030]) ).
thf(2570,plain,
! [SV685: $i,SV159: $i] :
( ( hBOOL @ ( c_in @ SV159 @ ( c_Set_Oinsert @ SV159 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV685 @ tc_bool ) ) @ SV685 ) @ SV685 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2031]) ).
thf(2571,plain,
! [SV686: $i,SV160: $i] :
( ( ! [SY2944: $i] :
( ( SV160
= ( c_Set_Oinsert @ SV686 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2944 @ tc_bool ) ) @ SY2944 ) )
| ( SV160
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2944 @ tc_bool ) ) )
| ~ ( c_lessequals @ SV160 @ ( c_Set_Oinsert @ SV686 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY2944 @ tc_bool ) ) @ SY2944 ) @ ( tc_fun @ SY2944 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2032]) ).
thf(2572,plain,
! [SV687: $i,SV162: $i] :
( ( ! [SY2945: $i,SY2946: $i,SY2947: $i] :
( ( c_Set_Oimage @ SV162 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV687 @ SY2945 @ ( tc_fun @ SY2946 @ tc_bool ) ) @ SY2946 @ SY2947 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ SV162 @ SV687 @ SY2946 @ SY2947 ) @ ( c_Set_Oimage @ SV162 @ SY2945 @ SY2946 @ SY2947 ) @ ( tc_fun @ SY2947 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2034]) ).
thf(2573,plain,
! [SV688: $i,SV163: $i] :
( ( ! [SY2948: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV163 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV688 @ tc_nat @ tc_Message_Omsg ) @ SY2948 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV163 ) @ ( c_Message_Oanalz @ SY2948 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV163 ) @ ( c_Message_Oanalz @ SY2948 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2035]) ).
thf(2574,plain,
! [SV689: $i,SV164: $i] :
( ( ! [SY2949: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV164 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV689 @ tc_nat @ tc_Message_Omsg ) @ SY2949 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV164 ) @ ( c_Message_Oanalz @ SY2949 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV164 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV689 @ tc_nat @ tc_Message_Omsg ) @ SY2949 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2036]) ).
thf(2575,plain,
! [SV690: $i,SV165: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV165 ) @ SV690 ) ) ) @ ( c_Event_OinitState @ SV690 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2037]) ).
thf(2576,plain,
! [SV691: $i,SV166: $i] :
( ( ! [SY2950: $i,SY2951: $i] :
( ~ ( class_Orderings_Olinorder @ SV166 )
| ( c_lessequals @ SV691 @ SY2950 @ SV166 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV691 @ ( c_List_Olist_OCons @ SY2950 @ SY2951 @ SV166 ) @ SV166 ) @ SV166 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2038]) ).
thf(2577,plain,
! [SV692: $i,SV167: $i] :
( ( ! [SY2952: $i,SY2953: $i] :
( ~ ( class_Orderings_Olinorder @ SV167 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV692 @ ( c_List_Olist_OCons @ SY2952 @ SY2953 @ SV167 ) @ SV167 ) @ SV167 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY2952 @ SY2953 @ SV167 ) @ SV167 )
| ~ ( c_lessequals @ SV692 @ SY2952 @ SV167 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2039]) ).
thf(2578,plain,
! [SV693: $i,SV168: $i] :
( ( ! [SY2954: $i] :
( ( hBOOL @ ( c_in @ SV168 @ ( c_Message_Osynth @ SV693 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV168 @ SY2954 ) @ SV693 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV168 @ SY2954 ) @ ( c_Message_Osynth @ SV693 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2040]) ).
thf(2579,plain,
! [SV694: $i,SV169: $i] :
( ( ! [SY2955: $i] :
( ( hBOOL @ ( c_in @ SV169 @ ( c_Message_Osynth @ SV694 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SY2955 @ SV169 ) @ SV694 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SY2955 @ SV169 ) @ ( c_Message_Osynth @ SV694 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2041]) ).
thf(2580,plain,
! [SV695: $i,SV170: $i] :
( ( ! [SY2956: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV170 @ SV695 ) @ ( c_Message_Osynth @ SY2956 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV695 @ ( c_Message_Osynth @ SY2956 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV170 @ ( c_Message_Osynth @ SY2956 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2042]) ).
thf(2581,plain,
! [SV171: $i] :
( ( hBOOL @ ( c_in @ SV171 @ ( 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)],[2043]) ).
thf(2582,plain,
! [SV696: $i,SV172: $i] :
( ( ! [SY2957: $i] :
( ( hBOOL @ ( c_in @ SV172 @ ( c_Message_Oparts @ SV696 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV172 @ ( c_Message_Oparts @ SY2957 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV172 @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2957 @ SV696 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2044]) ).
thf(2583,plain,
! [SV697: $i,SV173: $i] :
( ( ! [SY2958: $i] :
( ( hBOOL @ ( c_in @ SV173 @ ( c_Message_Osynth @ SV697 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SY2958 @ SV173 ) @ SV697 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SY2958 @ SV173 ) @ ( c_Message_Osynth @ SV697 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2045]) ).
thf(2584,plain,
! [SV698: $i,SV174: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV174 ) @ SV698 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV174 ) @ ( c_Message_Osynth @ SV698 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2046]) ).
thf(2585,plain,
! [SV699: $i,SV175: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV175 ) @ ( c_Message_Osynth @ SV699 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV175 ) @ SV699 @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2047]) ).
thf(2586,plain,
! [SV700: $i,SV176: $i] :
( ( ! [SY2959: $i] :
( ( hBOOL @ ( c_in @ SV176 @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV700 @ SY2959 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV176 @ ( c_Message_Oanalz @ SY2959 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2048]) ).
thf(2587,plain,
! [SV177: $i] :
( ( ( ~ ( class_Orderings_Otop @ SV177 ) )
= $true )
| ( ( ( hAPP @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ t_a @ SV177 ) ) @ v_x )
= ( c_Orderings_Otop__class_Otop @ SV177 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2049]) ).
thf(2588,plain,
! [SV701: $i,SV178: $i] :
( ( ! [SY2960: $i] :
( ( hBOOL @ ( c_in @ SV178 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV701 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SY2960 @ SV178 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV701 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SY2960 ) ) @ ( c_Message_Oanalz @ SV701 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SY2960 ) @ ( c_Message_Oanalz @ SV701 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2050]) ).
thf(2589,plain,
! [SV702: $i,SV179: $i] :
( ( ! [SY2961: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV179 @ SV702 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY2961 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV702 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY2961 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV179 ) ) @ ( c_Message_Oanalz @ SY2961 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV179 ) @ ( c_Message_Oanalz @ SY2961 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2051]) ).
thf(2590,plain,
! [SV703: $i,SV181: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OAgent @ SV181 ) @ ( c_Message_Osynth @ SV703 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2053]) ).
thf(2591,plain,
! [SV704: $i,SV182: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OAgent @ SV182 ) @ ( c_Message_Osynth @ SV704 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2054]) ).
thf(2592,plain,
! [SV705: $i,SV183: $i] :
( ( ! [SY2962: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV183 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV705 @ tc_nat @ tc_Message_Omsg ) @ SY2962 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV183 ) @ ( c_Message_Oanalz @ SY2962 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV183 @ SV705 @ tc_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2055]) ).
thf(2593,plain,
! [SV706: $i,SV184: $i] :
( ( ! [SY2963: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV184 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV706 @ tc_nat @ tc_Message_Omsg ) @ SY2963 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV184 @ SV706 @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV184 ) @ ( c_Message_Oanalz @ SY2963 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2056]) ).
thf(2594,plain,
! [SV707: $i,SV185: $i] :
( ( ! [SY2964: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV185 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV707 @ tc_nat @ tc_Message_Omsg ) @ SY2964 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV185 @ SV707 @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV185 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV707 @ tc_nat @ tc_Message_Omsg ) @ SY2964 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2057]) ).
thf(2595,plain,
! [SV708: $i,SV186: $i] :
( ( ! [SY2965: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV186 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV708 @ tc_nat @ tc_Message_Omsg ) @ SY2965 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV186 @ SV708 @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV186 @ SV708 @ tc_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2058]) ).
thf(2596,plain,
! [SV709: $i,SV188: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV188 ) @ SV709 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV188 ) @ ( c_Message_Osynth @ SV709 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2060]) ).
thf(2597,plain,
! [SV710: $i,SV189: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV189 ) @ SV710 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV189 ) @ ( c_Message_Osynth @ SV710 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2061]) ).
thf(2598,plain,
! [SV711: $i,SV190: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV190 ) @ ( c_Message_Osynth @ SV711 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV190 ) @ SV711 @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2062]) ).
thf(2599,plain,
! [SV712: $i,SV191: $i] :
( ( ! [SY2966: $i] :
( ( hBOOL @ ( c_in @ SV191 @ ( c_Message_Osynth @ SV712 ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SY2966 @ ( c_Message_Osynth @ SV712 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV191 @ ( c_Message_Osynth @ SY2966 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2063]) ).
thf(2600,plain,
! [SV713: $i,SV192: $i] :
( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ SV192 ) @ ( c_Message_Oparts @ SV713 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV192 @ SV713 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2064]) ).
thf(2601,plain,
! [SV714: $i,SV193: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV193 @ SV714 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ SV193 ) @ ( c_Message_Oparts @ SV714 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2065]) ).
thf(2602,plain,
! [SV715: $i,SV194: $i] :
( ( ( c_lessequals @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV194 ) ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV715 ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ SV194 @ SV715 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2066]) ).
thf(2603,plain,
! [SV716: $i,SV195: $i] :
( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oanalz @ SV195 ) @ ( c_Message_Oanalz @ SV716 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV195 @ SV716 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2067]) ).
thf(2604,plain,
! [SV717: $i,SV196: $i] :
( ( ! [SY2967: $i,SY2968: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV196 @ SV717 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY2967 @ SY2968 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oanalz @ SV717 ) @ ( c_Message_Oanalz @ SY2968 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oanalz @ SV196 ) @ ( c_Message_Oanalz @ SY2967 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2068]) ).
thf(2605,plain,
! [SV718: $i,SV197: $i] :
( ( c_lessequals @ ( c_Event_OinitState @ SV197 ) @ ( c_Event_Oknows @ SV197 @ SV718 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2069]) ).
thf(2606,plain,
! [SV199: $i] :
( ( ( hBOOL @ ( c_in @ SV199 @ c_Message_OsymKeys @ tc_nat ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ SV199 ) @ c_Message_OsymKeys @ tc_nat ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2071]) ).
thf(2607,plain,
! [SV200: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ SV200 ) @ c_Message_OsymKeys @ tc_nat ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV200 @ c_Message_OsymKeys @ tc_nat ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2072]) ).
thf(2608,plain,
! [SV201: $i] :
( ( ( ( hAPP @ c_Message_OinvKey @ SV201 )
= SV201 )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV201 @ c_Message_OsymKeys @ tc_nat ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2073]) ).
thf(2609,plain,
! [SV719: $i,SV202: $i] :
( ( ! [SY2969: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV202 ) @ SV719 @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV202 @ SY2969 ) @ SV719 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV202 @ SY2969 ) @ ( c_Message_Osynth @ SV719 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2074]) ).
thf(2610,plain,
! [SV720: $i,SV203: $i] :
( ( ! [SY2970: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV203 @ SV720 ) @ ( c_Message_Osynth @ SY2970 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV203 ) @ SY2970 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV720 @ ( c_Message_Osynth @ SY2970 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2075]) ).
thf(2611,plain,
! [SV721: $i,SV204: $i] :
( ( ! [SY2971: $i,SY2972: $i] :
( ( hBOOL @ ( c_in @ SV204 @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV721 @ SY2971 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY2972 @ ( c_Message_Oparts @ SY2971 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV204 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SY2972 @ SV721 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2076]) ).
thf(2612,plain,
! [SV722: $i,SV205: $i] :
( ( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ SV205 @ SV722 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ SV205 @ ( c_Message_Oparts @ SV722 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Osko__Message__Xparts__insert__eq__I__1__1 @ SV722 @ SV205 ) @ ( c_Set_Oinsert @ SV205 @ ( c_Message_Oparts @ SV722 ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2077]) ).
thf(2613,plain,
! [SV723: $i,SV206: $i] :
( ( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ SV206 @ SV723 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ SV206 @ ( c_Message_Oparts @ SV723 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Osko__Message__Xparts__insert__eq__I__1__1 @ SV723 @ SV206 ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV206 @ SV723 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2078]) ).
thf(2614,plain,
! [SV724: $i,SV207: $i] :
( ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV207 @ SV724 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ SV207 @ ( c_Message_Oanalz @ SV724 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Osko__Message__Xanalz__insert__eq__I__1__1 @ SV724 @ SV207 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV207 @ SV724 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2079]) ).
thf(2615,plain,
! [SV725: $i,SV208: $i] :
( ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV208 @ SV725 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ SV208 @ ( c_Message_Oanalz @ SV725 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Osko__Message__Xanalz__insert__eq__I__1__1 @ SV725 @ SV208 ) @ ( c_Set_Oinsert @ SV208 @ ( c_Message_Oanalz @ SV725 ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2080]) ).
thf(2616,plain,
! [SV726: $i,SV209: $i] :
( ( ( ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV209 @ SV726 @ tc_Message_Omsg ) ) )
= ( c_Message_Osynth @ ( c_Message_Oanalz @ SV726 ) ) )
| ~ ( hBOOL @ ( c_in @ SV209 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV726 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2081]) ).
thf(2617,plain,
! [SV727: $i,SV210: $i] :
( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV210 ) @ ( c_Message_Oparts @ ( c_Event_OinitState @ SV727 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2082]) ).
thf(2618,plain,
! [SV728: $i,SV211: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV211 ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV728 @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV211 @ SV728 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2083]) ).
thf(2619,plain,
! [SV729: $i,SV212: $i] :
( ( ( hBOOL @ ( c_in @ SV212 @ SV729 @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV212 ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV729 @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2084]) ).
thf(2620,plain,
! [SV730: $i,SV213: $i] :
( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV213 ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV730 @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2085]) ).
thf(2621,plain,
! [SV731: $i,SV215: $i] :
( ( ! [SY2973: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ ( c_Public_OpublicKey @ SV215 ) @ SV731 ) ) @ ( c_Event_OinitState @ SY2973 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2087]) ).
thf(2622,plain,
! [SV732: $i,SV216: $i] :
( ( ! [SY2974: $i] :
( ( hBOOL @ ( c_in @ SV216 @ ( c_Event_Oused @ SV732 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV216 @ ( c_Message_Oparts @ ( c_Event_OinitState @ SY2974 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2088]) ).
thf(2623,plain,
! [SV733: $i,SV217: $i] :
( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV217 @ SV733 ) @ ( c_Event_Oused @ ( c_List_Olist_ONil @ tc_Event_Oevent ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2089]) ).
thf(2624,plain,
! [SV218: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ ( c_Public_Osko__Public__XNonce__supply1__1__1 @ SV218 ) ) @ ( c_Event_Oused @ SV218 ) @ tc_Message_Omsg ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2090]) ).
thf(2625,plain,
! [SV219: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV219 ) @ ( c_Event_Oused @ ( c_List_Olist_ONil @ tc_Event_Oevent ) ) @ tc_Message_Omsg ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2091]) ).
thf(2626,plain,
! [SV734: $i,SV220: $i] :
( ( ! [SY2975: $i,SY2976: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV220 ) @ SV734 ) ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SY2975 ) @ SY2976 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2092]) ).
thf(2627,plain,
! [SV735: $i,SV221: $i] :
( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV221 ) @ SV735 ) ) @ c_Message_OsymKeys @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2093]) ).
thf(2628,plain,
! [SV736: $i,SV222: $i] :
( ( ! [SY2977: $i,SY2978: $i] :
( ~ ( class_Orderings_Olinorder @ SV222 )
| ( c_lessequals @ SV736 @ SY2977 @ SV222 )
| ~ ( hBOOL @ ( c_in @ SY2977 @ ( c_List_Oset @ SY2978 @ SV222 ) @ SV222 ) )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV736 @ SY2978 @ SV222 ) @ SV222 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2094]) ).
thf(2629,plain,
! [SV737: $i,SV223: $i] :
( ( ! [SY2979: $i] :
( ( hBOOL @ ( c_in @ SV223 @ ( c_Message_Oanalz @ SV737 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SY2979 ) ) @ ( c_Message_Oanalz @ SV737 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SY2979 @ SV223 ) @ ( c_Message_Oanalz @ SV737 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2095]) ).
thf(2630,plain,
! [SV738: $i,SV224: $i] :
( ( ! [SY2980: $i] :
( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV224 @ SV738 @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ SY2980 ) @ ( c_Message_Oparts @ SV738 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV224 @ SY2980 @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2096]) ).
thf(2631,plain,
! [SV739: $i,SV225: $i] :
( ( ! [SY2981: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ SV225 ) @ ( c_Message_OkeysFor @ SV739 ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV225 @ SY2981 ) @ SV739 @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2097]) ).
thf(2632,plain,
! [SV740: $i,SV226: $i] :
( ( ! [SY2982: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV226 ) @ SV740 ) ) ) @ ( c_Event_Oused @ SY2982 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2098]) ).
thf(2633,plain,
! [SV741: $i,SV227: $i] :
( ( ! [SY2983: $i] :
( ( hBOOL @ ( c_in @ SV227 @ ( c_Event_OinitState @ SV741 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SV741 @ SV227 ) @ ( c_List_Oset @ SY2983 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_OGets @ SV741 @ SV227 ) @ ( c_List_Oset @ SY2983 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV741 @ ( c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1 @ SV741 @ SV227 @ SY2983 ) @ SV227 ) @ ( c_List_Oset @ SY2983 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV741 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( c_in @ SV227 @ ( c_Event_Oknows @ SV741 @ SY2983 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2099]) ).
thf(2634,plain,
! [SV742: $i,SV228: $i] :
( ( ! [SY2984: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV228 ) @ SV742 ) ) @ ( c_Set_Oimage @ c_Public_OshrK @ SY2984 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2100]) ).
thf(2635,plain,
! [SV743: $i,SV229: $i] :
( ( ! [SY2985: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV229 @ SV743 ) @ SY2985 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV229 @ SV743 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV743 @ SY2985 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV229 ) ) @ ( c_Message_Oanalz @ SY2985 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2101]) ).
thf(2636,plain,
! [SV744: $i,SV230: $i] :
( ( ! [SY2986: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV230 @ SV744 ) @ SY2986 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV230 @ SV744 ) @ ( c_Message_Oanalz @ SY2986 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV230 ) ) @ ( c_Message_Oanalz @ SY2986 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2102]) ).
thf(2637,plain,
! [SV745: $i,SV231: $i] :
( ( ! [SY2987: $i,SY2988: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV231 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV745 @ SY2987 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV231 ) @ ( c_Message_Oanalz @ SY2987 ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SY2988 @ SY2987 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV745 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY2988 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2103]) ).
thf(2638,plain,
! [SV746: $i,SV232: $i] :
( ( ! [SY2989: $i,SY2990: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV232 ) @ ( c_Message_Oanalz @ SV746 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV232 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SY2989 @ SV746 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SY2990 @ SV746 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SY2989 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY2990 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2104]) ).
thf(2639,plain,
! [SV747: $i,SV233: $i] :
( ( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV233 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Event_Oused @ SV747 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV233 @ ( c_Event_Oused @ SV747 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2105]) ).
thf(2640,plain,
! [SV748: $i,SV234: $i] :
( ( ! [SY2991: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV234 @ SV748 ) @ SY2991 @ tc_Message_Omsg ) ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV234 @ SV748 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV748 @ SY2991 @ 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 @ SV234 ) ) @ ( c_Message_Oanalz @ SY2991 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2106]) ).
thf(2641,plain,
! [SV749: $i,SV235: $i] :
( ( ! [SY2992: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV235 @ SV749 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV749 @ SY2992 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV235 @ SV749 ) @ SY2992 @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV235 ) ) @ ( c_Message_Oanalz @ SY2992 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2107]) ).
thf(2642,plain,
! [SV750: $i,SV236: $i] :
( ( ! [SY2993: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV236 ) @ SV750 ) ) ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2993 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV750 @ c_Event_Obad @ tc_Message_Oagent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2108]) ).
thf(2643,plain,
! [SV751: $i,SV237: $i] :
( ( ! [SY2994: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ SV237 @ SV751 ) @ SY2994 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ SV751 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2994 ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SY2994 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2109]) ).
thf(2644,plain,
! [SV752: $i,SV238: $i] :
( ( ! [SY2995: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ SV238 @ SV752 ) @ SY2995 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ SV752 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2995 ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY2995 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2110]) ).
thf(2645,plain,
! [SV753: $i,SV239: $i] :
( ( ! [SY2996: $i] :
( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV239 @ SV753 ) @ SY2996 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV753 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2996 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV239 @ c_Event_Obad @ tc_Message_Oagent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2111]) ).
thf(2646,plain,
! [SV754: $i,SV240: $i] :
( ( ! [SY2997: $i] :
( ( ( c_Event_Oknows @ SV240 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV240 @ SV754 ) @ SY2997 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV754 @ ( c_Event_Oknows @ SV240 @ SY2997 ) @ tc_Message_Omsg ) )
| ( SV240 = c_Message_Oagent_OSpy ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2112]) ).
thf(2647,plain,
! [SV755: $i,SV241: $i] :
( ( ! [SY2998: $i,SY2999: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV241 @ SV755 @ SY2998 ) @ SY2999 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SY2998 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY2999 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2113]) ).
thf(2648,plain,
! [SV756: $i,SV242: $i] :
( ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV242 ) @ SV756 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV242 ) @ ( c_Message_Oanalz @ SV756 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV242 @ ( c_Message_OkeysFor @ ( c_Message_Oanalz @ SV756 ) ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2114]) ).
thf(2649,plain,
! [SV757: $i,SV243: $i] :
( ( ! [SY3000: $i] :
( ( c_Event_Oknows @ SV243 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV243 @ SV757 ) @ SY3000 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV757 @ ( c_Event_Oknows @ SV243 @ SY3000 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2115]) ).
thf(2650,plain,
! [SV758: $i,SV244: $i] :
( ( ! [SY3001: $i,SY3002: $i] :
( ( c_Event_Oknows @ SV244 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV244 @ SV758 @ SY3001 ) @ SY3002 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SY3001 @ ( c_Event_Oknows @ SV244 @ SY3002 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2116]) ).
thf(2651,plain,
! [SV759: $i,SV245: $i] :
( ( ! [SY3003: $i] : ( c_lessequals @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV245 @ SV759 ) @ SY3003 @ tc_Message_Omsg ) ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV245 @ SV759 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV759 @ SY3003 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2117]) ).
thf(2652,plain,
! [SV760: $i,SV246: $i] :
( ( ! [SY3004: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV246 @ SV760 @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ SV760 ) )
| ~ ( c_lessequals @ SY3004 @ SV760 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV246 @ ( c_Message_Oanalz @ SY3004 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2118]) ).
thf(2653,plain,
! [SV761: $i,SV247: $i] :
( ( ( c_Message_OkeysFor @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ SV247 ) @ SV761 @ tc_Message_Omsg ) )
= ( c_Message_OkeysFor @ SV761 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2119]) ).
thf(2654,plain,
! [SV762: $i,SV248: $i] :
( ( ( c_Message_OkeysFor @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ SV248 ) @ SV762 @ tc_Message_Omsg ) )
= ( c_Message_OkeysFor @ SV762 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2120]) ).
thf(2655,plain,
! [SV763: $i,SV249: $i] :
( ( ( c_Message_OkeysFor @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV249 ) @ SV763 @ tc_Message_Omsg ) )
= ( c_Message_OkeysFor @ SV763 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2121]) ).
thf(2656,plain,
! [SV764: $i,SV250: $i] :
( ( ! [SY3005: $i] :
( ( c_Message_OkeysFor @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV250 @ SV764 ) @ SY3005 @ tc_Message_Omsg ) )
= ( c_Message_OkeysFor @ SY3005 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2122]) ).
thf(2657,plain,
! [SV765: $i,SV251: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ SV251 @ ( c_Message_Oanalz @ SV765 ) @ tc_Message_Omsg ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV251 @ SV765 @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2123]) ).
thf(2658,plain,
! [SV766: $i,SV252: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ SV252 @ ( c_Message_Oparts @ SV766 ) @ tc_Message_Omsg ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV252 @ SV766 @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2124]) ).
thf(2659,plain,
! [SV767: $i,SV253: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ SV253 ) @ SV767 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ SV253 ) @ ( c_Message_Oanalz @ SV767 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2125]) ).
thf(2660,plain,
! [SV768: $i,SV254: $i] :
( ( ! [SY3006: $i] :
( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV254 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ SV768 ) @ SY3006 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ SV768 ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV254 ) @ SY3006 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2126]) ).
thf(2661,plain,
! [SV769: $i,SV255: $i] :
( ( ! [SY3007: $i,SY3008: $i] :
( ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV255 @ SV769 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ SY3007 ) @ SY3008 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ SY3007 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV255 @ SV769 ) @ SY3008 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2127]) ).
thf(2662,plain,
! [SV770: $i,SV256: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ SV256 ) @ SV770 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ SV256 ) @ ( c_Message_Oanalz @ SV770 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2128]) ).
thf(2663,plain,
! [SV771: $i,SV257: $i] :
( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ SV257 ) @ SV771 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ SV257 ) @ ( c_Message_Oparts @ SV771 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2129]) ).
thf(2664,plain,
! [SV772: $i,SV258: $i] :
( ( ! [SY3009: $i] :
( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV258 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ SV772 ) @ SY3009 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ SV772 ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV258 ) @ SY3009 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2130]) ).
thf(2665,plain,
! [SV773: $i,SV259: $i] :
( ( ! [SY3010: $i,SY3011: $i] :
( ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV259 @ SV773 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ SY3010 ) @ SY3011 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ SY3010 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV259 @ SV773 ) @ SY3011 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2131]) ).
thf(2666,plain,
! [SV774: $i,SV260: $i] :
( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ SV260 ) @ SV774 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ SV260 ) @ ( c_Message_Oparts @ SV774 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2132]) ).
thf(2667,plain,
! [SV775: $i,SV261: $i] :
( ( ! [SY3012: $i,SY3013: $i] :
( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV261 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV775 @ SY3012 ) @ SY3013 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV775 @ SY3012 ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV261 ) @ SY3013 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2133]) ).
thf(2668,plain,
! [SV776: $i,SV262: $i] :
( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV262 ) @ SV776 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV262 ) @ ( c_Message_Oparts @ SV776 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2134]) ).
thf(2669,plain,
! [SV777: $i,SV263: $i] :
( ( ! [SY3014: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV263 @ SV777 ) @ SY3014 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV263 @ SV777 ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV777 @ SY3014 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2135]) ).
thf(2670,plain,
! [SV778: $i,SV264: $i] :
( ( ! [SY3015: $i] :
( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV264 @ SV778 ) @ SY3015 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV264 @ SV778 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV264 @ ( c_Set_Oinsert @ SV778 @ SY3015 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2136]) ).
thf(2671,plain,
! [SV779: $i,SV265: $i] :
( ( ! [SY3016: $i,SY3017: $i] :
( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV265 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV779 @ SY3016 ) @ SY3017 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV779 @ SY3016 ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV265 ) @ SY3017 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2137]) ).
thf(2672,plain,
! [SV780: $i,SV266: $i] :
( ( ! [SY3018: $i] :
( ( hBOOL @ ( c_in @ SV266 @ ( c_Message_Oanalz @ SV780 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY3018 @ ( c_Message_Oanalz @ SV780 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV266 @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SY3018 @ SV780 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2138]) ).
thf(2673,plain,
! [SV781: $i,SV267: $i] :
( ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV267 @ SV781 @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ SV781 ) )
| ~ ( hBOOL @ ( c_in @ SV267 @ ( c_Message_Oanalz @ SV781 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2139]) ).
thf(2674,plain,
! [SV782: $i,SV268: $i] :
( ( ! [SY3019: $i] :
( ( hBOOL @ ( c_in @ SV268 @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV782 @ SY3019 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV268 @ ( c_Message_Oanalz @ SY3019 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2140]) ).
thf(2675,plain,
! [SV783: $i,SV269: $i] :
( ( ! [SY3020: $i,SY3021: $i,SY3022: $i] :
( ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV269 @ SV783 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SY3020 @ SY3021 ) @ SY3022 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SY3020 @ SY3021 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV269 @ SV783 ) @ SY3022 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2141]) ).
thf(2676,plain,
! [SV784: $i,SV270: $i] :
( ( ! [SY3023: $i] :
( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV270 @ SV784 ) @ SY3023 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV270 @ SV784 ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV270 @ ( c_Set_Oinsert @ SV784 @ SY3023 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2142]) ).
thf(2677,plain,
! [SV785: $i,SV271: $i] :
( ( ! [SY3024: $i] :
( ( hBOOL @ ( c_in @ SV271 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV785 @ SY3024 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV271 @ ( c_Message_Oparts @ SY3024 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2143]) ).
thf(2678,plain,
! [SV786: $i,SV272: $i] :
( ( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ SV272 @ SV786 @ tc_Message_Omsg ) )
= ( c_Message_Oparts @ SV786 ) )
| ~ ( hBOOL @ ( c_in @ SV272 @ ( c_Message_Oparts @ SV786 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2144]) ).
thf(2679,plain,
! [SV787: $i,SV273: $i] :
( ( ! [SY3025: $i] :
( ( c_List_Oset @ ( c_List_Olist_OCons @ SV273 @ SV787 @ SY3025 ) @ SY3025 )
= ( c_Set_Oinsert @ SV273 @ ( c_List_Oset @ SV787 @ SY3025 ) @ SY3025 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2145]) ).
thf(2680,plain,
! [SV788: $i,SV274: $i] :
( ( ! [SY3026: $i,SY3027: $i,SY3028: $i] :
( ( ( c_Set_Oinsert @ ( hAPP @ SV274 @ SV788 ) @ ( c_Set_Oimage @ SV274 @ SY3026 @ SY3027 @ SY3028 ) @ SY3028 )
= ( c_Set_Oimage @ SV274 @ SY3026 @ SY3027 @ SY3028 ) )
| ~ ( hBOOL @ ( c_in @ SV788 @ SY3026 @ SY3027 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2146]) ).
thf(2681,plain,
! [SV789: $i,SV275: $i] :
( ( ! [SY3029: $i,SY3030: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ SV275 @ SV789 @ SY3029 ) @ SY3030 @ ( tc_fun @ SY3029 @ tc_bool ) )
| ~ ( c_lessequals @ SV789 @ SY3030 @ ( tc_fun @ SY3029 @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV275 @ SY3030 @ SY3029 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2147]) ).
thf(2682,plain,
! [SV790: $i,SV276: $i] :
( ( ! [SY3031: $i,SY3032: $i] :
( ( hBOOL @ ( c_in @ SV276 @ SV790 @ SY3031 ) )
| ~ ( c_lessequals @ ( c_Set_Oinsert @ SV276 @ SY3032 @ SY3031 ) @ SV790 @ ( tc_fun @ SY3031 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2148]) ).
thf(2683,plain,
! [SV791: $i,SV277: $i] :
( ( ! [SY3033: $i,SY3034: $i] :
( ( c_lessequals @ SV277 @ ( c_Set_Oinsert @ SV791 @ SY3033 @ SY3034 ) @ ( tc_fun @ SY3034 @ tc_bool ) )
| ~ ( c_lessequals @ SV277 @ SY3033 @ ( tc_fun @ SY3034 @ tc_bool ) )
| ( hBOOL @ ( c_in @ SV791 @ SV277 @ SY3034 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2149]) ).
thf(2684,plain,
! [SV792: $i,SV278: $i] :
( ( ! [SY3035: $i,SY3036: $i] :
( ( c_lessequals @ SV278 @ SV792 @ ( tc_fun @ SY3035 @ tc_bool ) )
| ( hBOOL @ ( c_in @ SY3036 @ SV278 @ SY3035 ) )
| ~ ( c_lessequals @ SV278 @ ( c_Set_Oinsert @ SY3036 @ SV792 @ SY3035 ) @ ( tc_fun @ SY3035 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2150]) ).
thf(2685,plain,
! [SV793: $i,SV279: $i] :
( ( ! [SY3037: $i,SY3038: $i] :
( ( c_lessequals @ SV279 @ ( c_Set_Oinsert @ SV793 @ SY3037 @ SY3038 ) @ ( tc_fun @ SY3038 @ tc_bool ) )
| ~ ( c_lessequals @ SV279 @ SY3037 @ ( tc_fun @ SY3038 @ tc_bool ) )
| ( hBOOL @ ( c_in @ SV793 @ SV279 @ SY3038 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2151]) ).
thf(2686,plain,
! [SV794: $i,SV280: $i] :
( ( ! [SY3039: $i,SY3040: $i] :
( ( c_lessequals @ SV280 @ SV794 @ ( tc_fun @ SY3039 @ tc_bool ) )
| ~ ( c_lessequals @ SV280 @ ( c_Set_Oinsert @ SY3040 @ SV794 @ SY3039 ) @ ( tc_fun @ SY3039 @ tc_bool ) )
| ( hBOOL @ ( c_in @ SY3040 @ SV280 @ SY3039 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2152]) ).
thf(2687,plain,
! [SV795: $i,SV281: $i] :
( ( ! [SY3041: $i,SY3042: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ SV281 @ SV795 @ SY3041 ) @ ( c_Set_Oinsert @ SV281 @ SY3042 @ SY3041 ) @ ( tc_fun @ SY3041 @ tc_bool ) )
| ~ ( c_lessequals @ SV795 @ SY3042 @ ( tc_fun @ SY3041 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2153]) ).
thf(2688,plain,
! [SV796: $i,SV282: $i] :
( ( ! [SY3043: $i] : ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV282 @ SV796 @ SY3043 ) @ SV282 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2154]) ).
thf(2689,plain,
! [SV797: $i,SV283: $i] :
( ( ! [SY3044: $i,SY3045: $i,SY3046: $i] :
( ( c_Set_Oimage @ SV283 @ ( c_Set_Oinsert @ SV797 @ SY3044 @ SY3045 ) @ SY3045 @ SY3046 )
= ( c_Set_Oinsert @ ( hAPP @ SV283 @ SV797 ) @ ( c_Set_Oimage @ SV283 @ SY3044 @ SY3045 @ SY3046 ) @ SY3046 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2155]) ).
thf(2690,plain,
! [SV798: $i,SV284: $i] :
( ( ! [SY3047: $i] : ( c_lessequals @ SV284 @ ( c_Set_Oinsert @ SV798 @ SV284 @ SY3047 ) @ ( tc_fun @ SY3047 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2156]) ).
thf(2691,plain,
! [SV799: $i,SV285: $i] :
( ( ! [SY3048: $i,SY3049: $i] :
( ( hBOOL @ ( hAPP @ SV285 @ SV799 ) )
| ( SY3048 = SV799 )
| ~ ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SY3048 @ SV285 @ SY3049 ) @ SV799 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2157]) ).
thf(2692,plain,
! [SV800: $i,SV286: $i] :
( ( ! [SY3050: $i] :
( ( c_Set_Oinsert @ SV286 @ ( c_Set_Oinsert @ SV286 @ SV800 @ SY3050 ) @ SY3050 )
= ( c_Set_Oinsert @ SV286 @ SV800 @ SY3050 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2158]) ).
thf(2693,plain,
! [SV801: $i,SV287: $i] :
( ( ! [SY3051: $i,SY3052: $i] :
( ( c_lessequals @ SV287 @ ( c_Set_Oinsert @ SV801 @ SY3051 @ SY3052 ) @ ( tc_fun @ SY3052 @ tc_bool ) )
| ~ ( c_lessequals @ SV287 @ SY3051 @ ( tc_fun @ SY3052 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2159]) ).
thf(2694,plain,
! [SV802: $i,SV288: $i] :
( ( ! [SY3053: $i,SY3054: $i] :
( ( c_lessequals @ SV288 @ SV802 @ ( tc_fun @ SY3053 @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Set_Oinsert @ SY3054 @ SV288 @ SY3053 ) @ SV802 @ ( tc_fun @ SY3053 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2160]) ).
thf(2695,plain,
! [SV803: $i,SV289: $i] :
( ( ! [SY3055: $i,SY3056: $i] :
( ( c_Set_Oinsert @ SV289 @ ( c_Set_Oinsert @ SV803 @ SY3055 @ SY3056 ) @ SY3056 )
= ( c_Set_Oinsert @ SV803 @ ( c_Set_Oinsert @ SV289 @ SY3055 @ SY3056 ) @ SY3056 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2161]) ).
thf(2696,plain,
! [SV804: $i,SV290: $i] :
( ( ! [SY3057: $i,SY3058: $i] :
( ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV290 @ SV804 @ SY3057 ) @ SY3058 ) )
| ~ ( hBOOL @ ( hAPP @ SV804 @ SY3058 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2162]) ).
thf(2697,plain,
! [SV805: $i,SV291: $i] :
( ( ! [SY3059: $i,SY3060: $i,SY3061: $i] :
( ( c_Set_Oinsert @ ( hAPP @ SV291 @ SV805 ) @ ( c_Set_Oimage @ SV291 @ SY3059 @ SY3060 @ SY3061 ) @ SY3061 )
= ( c_Set_Oimage @ SV291 @ ( c_Set_Oinsert @ SV805 @ SY3059 @ SY3060 ) @ SY3060 @ SY3061 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2163]) ).
thf(2698,plain,
! [SV806: $i,SV292: $i] :
( ( ! [SY3062: $i,SY3063: $i] :
( ( hBOOL @ ( c_in @ SV292 @ ( c_Set_Oinsert @ SV806 @ SY3062 @ SY3063 ) @ SY3063 ) )
| ~ ( hBOOL @ ( c_in @ SV292 @ SY3062 @ SY3063 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2164]) ).
thf(2699,plain,
! [SV807: $i,SV293: $i] :
( ( ! [SY3064: $i,SY3065: $i] :
( ( hBOOL @ ( c_in @ SV293 @ ( c_Set_Oinsert @ SV807 @ SY3064 @ SY3065 ) @ SY3065 ) )
| ~ ( hBOOL @ ( c_in @ SV293 @ SY3064 @ SY3065 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2165]) ).
thf(2700,plain,
! [SV808: $i,SV294: $i] :
( ( ! [SY3066: $i,SY3067: $i] :
( ( hBOOL @ ( c_in @ SV294 @ SV808 @ SY3066 ) )
| ( SV294 = SY3067 )
| ~ ( hBOOL @ ( c_in @ SV294 @ ( c_Set_Oinsert @ SY3067 @ SV808 @ SY3066 ) @ SY3066 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2166]) ).
thf(2701,plain,
! [SV809: $i,SV295: $i] :
( ( ! [SY3068: $i] : ( hBOOL @ ( c_in @ SV295 @ ( c_Set_Oinsert @ SV295 @ SV809 @ SY3068 ) @ SY3068 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2167]) ).
thf(2702,plain,
! [SV810: $i,SV296: $i] :
( ( ! [SY3069: $i] : ( hBOOL @ ( c_in @ SV296 @ ( c_Set_Oinsert @ SV296 @ SV810 @ SY3069 ) @ SY3069 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2168]) ).
thf(2703,plain,
! [SV811: $i,SV297: $i] :
( ( ! [SY3070: $i] : ( hBOOL @ ( c_in @ SV297 @ ( c_Set_Oinsert @ SV297 @ SV811 @ SY3070 ) @ SY3070 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2169]) ).
thf(2704,plain,
! [SV812: $i,SV298: $i] :
( ( ! [SY3071: $i] :
( ( ( c_Set_Oinsert @ SV298 @ SV812 @ SY3071 )
= SV812 )
| ~ ( hBOOL @ ( c_in @ SV298 @ SV812 @ SY3071 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2170]) ).
thf(2705,plain,
! [SV813: $i,SV299: $i] :
( ( ( hBOOL @ ( c_in @ SV299 @ ( 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 @ SV813 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV299 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV299 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV813 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2171]) ).
thf(2706,plain,
! [SV814: $i,SV300: $i] :
( ( ! [SY3072: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV300 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV814 ) ) @ tc_Message_Omsg ) )
| ( SV300 = SY3072 )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV300 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SY3072 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV814 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SY3072 @ ( 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 @ SV814 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2172]) ).
thf(2707,plain,
! [SV815: $i,SV301: $i] :
( ( ! [SY3073: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV301 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV815 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY3073 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV301 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY3073 ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV815 @ ( 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 @ SY3073 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2173]) ).
thf(2708,plain,
! [SV816: $i,SV302: $i] :
( ( ! [SY3074: $i,SY3075: $i,SY3076: $i,SY3077: $i,SY3078: $i] :
( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV302 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV816 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV816 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SY3074 @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ SY3075 @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SY3076 @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1 @ SV302 @ SY3076 @ SV816 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV302 ) ) ) ) @ ( c_List_Oset @ SV816 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3075 @ ( c_Message_Omsg_OCrypt @ SY3077 @ ( c_Message_Omsg_OMPair @ SY3076 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3074 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV302 ) @ SY3078 ) ) ) ) ) @ ( c_List_Oset @ SV816 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2174]) ).
thf(2709,plain,
! [SV817: $i,SV303: $i] :
( ( ! [SY3079: $i,SY3080: $i,SY3081: $i] :
( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV817 ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SY3079 @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1 @ SV303 @ SY3079 @ SV817 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) ) ) ) @ ( c_List_Oset @ SV817 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV817 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SY3080 @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ SY3081 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3081 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3081 ) @ ( c_Message_Omsg_OMPair @ SY3079 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3080 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3080 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) @ ( c_Message_Omsg_OAgent @ SY3081 ) ) ) ) ) ) ) ) @ ( c_List_Oset @ SV817 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2175]) ).
thf(2710,plain,
! [SV818: $i,SV304: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV304 ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV818 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV304 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ SV818 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2176]) ).
thf(2711,plain,
! [SV819: $i,SV305: $i] :
( ( ! [SY3082: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ ( c_Public_OpublicKey @ SV305 ) @ SV819 ) ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY3082 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2177]) ).
thf(2712,plain,
! [SV820: $i,SV306: $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_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV306 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV820 ) @ ( hAPP @ c_Message_Omsg_OKey @ SY3083 ) ) ) ) @ SY3084 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3085 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3085 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV306 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3086 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3083 ) @ SY3087 ) ) ) ) ) @ ( c_List_Oset @ SY3084 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3086 @ SY3085 @ ( c_Message_Omsg_OCrypt @ SY3083 @ ( c_Message_Omsg_ONonce @ SV820 ) ) ) @ ( c_List_Oset @ SY3084 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SY3084 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2178]) ).
thf(2713,plain,
! [SV821: $i,SV307: $i] :
( ( ! [SY3088: $i,SY3089: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV307 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV307 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV821 ) @ ( c_Message_Omsg_ONonce @ SY3088 ) ) ) ) @ SY3089 @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SY3088 ) @ ( c_Event_Oused @ SY3089 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SY3089 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2179]) ).
thf(2714,plain,
! [SV822: $i,SV308: $i] :
( ( ! [SY3090: $i,SY3091: $i,SY3092: $i,SY3093: $i] :
( ~ ( hBOOL @ ( c_in @ SV308 @ ( 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 @ SV822 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SY3090 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3090 ) @ ( c_Message_Omsg_OMPair @ SY3091 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3092 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV308 ) @ SY3093 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV822 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2180]) ).
thf(2715,plain,
! [SV823: $i,SV309: $i] :
( ( ! [SY3094: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ ( c_Public_OpublicKey @ SV309 ) @ SV823 ) ) @ ( c_Event_Oused @ SY3094 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2181]) ).
thf(2716,plain,
! [SV824: $i,SV310: $i] :
( ( ! [SY3095: $i] :
( ( hBOOL @ ( c_in @ SV310 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV824 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY3095 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3095 ) @ SV310 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV824 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2182]) ).
thf(2717,plain,
! [SV825: $i,SV311: $i] :
( ( ~ ( hBOOL @ ( c_in @ SV311 @ ( 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 @ SV311 ) @ ( c_Event_Oused @ SV825 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2183]) ).
thf(2718,plain,
! [SV826: $i,SV312: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV312 ) ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV826 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV312 @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2184]) ).
thf(2719,plain,
! [SV827: $i,SV313: $i] :
( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV313 ) @ SV827 ) @ c_Message_OsymKeys @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2185]) ).
thf(2720,plain,
! [SV828: $i,SV314: $i] :
( ( ! [SY3096: $i,SY3097: $i] :
( ~ ( hBOOL @ ( c_in @ SV314 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV828 ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV314 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SY3096 @ SY3097 ) @ SV828 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2186]) ).
thf(2721,plain,
! [SV829: $i,SV315: $i] :
( ( ! [SY3098: $i,SY3099: $i] :
( ~ ( hBOOL @ ( c_in @ SV315 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV829 ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV315 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SY3098 @ SY3099 ) @ SV829 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2187]) ).
thf(2722,plain,
! [SV830: $i,SV317: $i] :
( ( ! [SY3100: $i] :
( ( hBOOL @ ( c_in @ SV317 @ ( c_Message_Oanalz @ SV830 ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SY3100 @ ( c_Message_Oanalz @ SV830 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV317 @ ( c_Message_Oanalz @ SY3100 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2189]) ).
thf(2723,plain,
! [SV831: $i,SV318: $i] :
( ( ! [SY3101: $i] :
( ( hBOOL @ ( c_in @ SV318 @ ( c_Message_Oparts @ SV831 ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SY3101 @ ( c_Message_Oparts @ SV831 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV318 @ ( c_Message_Oparts @ SY3101 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2190]) ).
thf(2724,plain,
! [SV832: $i,SV319: $i] :
( ( ! [SY3102: $i,SY3103: $i] :
( ( hBOOL @ ( c_in @ SV319 @ ( c_List_Oset @ SV832 @ SY3102 ) @ SY3102 ) )
| ( SV319 = SY3103 )
| ~ ( hBOOL @ ( c_in @ SV319 @ ( c_List_Oset @ ( c_List_Olist_OCons @ SY3103 @ SV832 @ SY3102 ) @ SY3102 ) @ SY3102 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2191]) ).
thf(2725,plain,
! [SV833: $i,SV320: $i] :
( ( ! [SY3104: $i] :
( ( hBOOL @ ( c_in @ SV320 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV833 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY3104 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SY3104 @ SV320 ) @ ( c_List_Oset @ SV833 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2192]) ).
thf(2726,plain,
! [SV834: $i,SV321: $i] :
( ( ! [SY3105: $i,SY3106: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV321 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV834 @ SY3105 @ SY3106 ) @ SV321 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2193]) ).
thf(2727,plain,
! [SV835: $i,SV322: $i] :
( ( ! [SY3107: $i,SY3108: $i,SY3109: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV322 @ SV835 ) @ ( c_Event_Oknows @ SV322 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SY3107 @ SY3108 @ SY3109 ) @ SV835 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2194]) ).
thf(2728,plain,
! [SV836: $i,SV323: $i] :
( ( ! [SY3110: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ SV323 ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV836 ) @ SY3110 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2195]) ).
thf(2729,plain,
! [SV837: $i,SV324: $i] :
( ( ( hBOOL @ ( c_in @ SV324 @ SV837 @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ SV324 ) @ ( c_Set_Oimage @ c_Public_OshrK @ SV837 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2196]) ).
thf(2730,plain,
! [SV838: $i,SV325: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ SV325 ) @ ( c_Set_Oimage @ c_Public_OshrK @ SV838 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV325 @ SV838 @ tc_Message_Oagent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2197]) ).
thf(2731,plain,
! [SV839: $i,SV326: $i] :
( ( ! [SY3111: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV326 ) @ SV839 ) @ ( c_Set_Oimage @ c_Public_OshrK @ SY3111 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2198]) ).
thf(2732,plain,
! [SV840: $i,SV327: $i] :
( ( ! [SY3112: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV327 @ SV840 ) @ SY3112 @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY3112 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2199]) ).
thf(2733,plain,
! [SV841: $i,SV329: $i] :
( ( ( c_lessequals @ SV329 @ ( c_Message_Oanalz @ SV841 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oanalz @ SV329 ) @ ( c_Message_Oanalz @ SV841 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2201]) ).
thf(2734,plain,
! [SV842: $i,SV330: $i] :
( ( ( c_lessequals @ ( c_Message_Oanalz @ SV330 ) @ ( c_Message_Oanalz @ SV842 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ SV330 @ ( c_Message_Oanalz @ SV842 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2202]) ).
thf(2735,plain,
! [SV843: $i,SV331: $i] :
( ( ( c_lessequals @ ( c_Message_Oanalz @ SV331 ) @ ( c_Message_Oanalz @ SV843 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ SV331 @ SV843 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2203]) ).
thf(2736,plain,
! [SV844: $i,SV332: $i] :
( ( ( c_lessequals @ SV332 @ ( c_Message_Oparts @ SV844 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oparts @ SV332 ) @ ( c_Message_Oparts @ SV844 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2204]) ).
thf(2737,plain,
! [SV845: $i,SV333: $i] :
( ( ( c_lessequals @ ( c_Message_Oparts @ SV333 ) @ ( c_Message_Oparts @ SV845 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ SV333 @ ( c_Message_Oparts @ SV845 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2205]) ).
thf(2738,plain,
! [SV846: $i,SV334: $i] :
( ( ( c_lessequals @ ( c_Message_Oparts @ SV334 ) @ ( c_Message_Oparts @ SV846 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ SV334 @ SV846 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2206]) ).
thf(2739,plain,
! [SV847: $i,SV336: $i] :
( ( ! [SY3113: $i,SY3114: $i,SY3115: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ SV336 @ SV847 ) @ ( c_Set_Oimage @ SV336 @ SY3113 @ SY3114 @ SY3115 ) @ SY3115 ) )
| ~ ( hBOOL @ ( c_in @ SV847 @ SY3113 @ SY3114 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2208]) ).
thf(2740,plain,
! [SV848: $i,SV337: $i] :
( ( ! [SY3116: $i,SY3117: $i,SY3118: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ SV337 @ SV848 ) @ ( c_Set_Oimage @ SV337 @ SY3116 @ SY3117 @ SY3118 ) @ SY3118 ) )
| ~ ( hBOOL @ ( c_in @ SV848 @ SY3116 @ SY3117 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2209]) ).
thf(2741,plain,
! [SV849: $i,SV338: $i] :
( ( ! [SY3119: $i,SY3120: $i,SY3121: $i] :
( ~ ( hBOOL @ ( c_in @ SV338 @ SV849 @ SY3119 ) )
| ( hBOOL @ ( c_in @ ( hAPP @ SY3120 @ SV338 ) @ ( c_Set_Oimage @ SY3120 @ SV849 @ SY3119 @ SY3121 ) @ SY3121 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2210]) ).
thf(2742,plain,
! [SV850: $i,SV339: $i] :
( ( ! [SY3122: $i,SY3123: $i,SY3124: $i] :
( ~ ( hBOOL @ ( c_in @ SV339 @ SV850 @ SY3122 ) )
| ( hBOOL @ ( c_in @ ( hAPP @ SY3123 @ SV339 ) @ ( c_Set_Oimage @ SY3123 @ SV850 @ SY3122 @ SY3124 ) @ SY3124 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2211]) ).
thf(2743,plain,
! [SV851: $i,SV340: $i] :
( ( hBOOL @ ( c_in @ SV340 @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SV851 @ tc_bool ) ) @ SV851 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2212]) ).
thf(2744,plain,
! [SV852: $i,SV341: $i] :
( ( ! [SY3125: $i,SY3126: $i] :
( ( hBOOL @ ( c_in @ SV341 @ SV852 @ SY3125 ) )
| ~ ( hBOOL @ ( c_in @ SV341 @ SY3126 @ SY3125 ) )
| ~ ( c_lessequals @ SY3126 @ SV852 @ ( tc_fun @ SY3125 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2213]) ).
thf(2745,plain,
! [SV853: $i,SV342: $i] :
( ( ! [SY3127: $i,SY3128: $i] :
( ( hBOOL @ ( c_in @ SV342 @ SV853 @ SY3127 ) )
| ~ ( hBOOL @ ( c_in @ SV342 @ SY3128 @ SY3127 ) )
| ~ ( c_lessequals @ SY3128 @ SV853 @ ( tc_fun @ SY3127 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2214]) ).
thf(2746,plain,
! [SV854: $i,SV343: $i] :
( ( ! [SY3129: $i,SY3130: $i] :
( ( hBOOL @ ( c_in @ SV343 @ SV854 @ SY3129 ) )
| ~ ( c_lessequals @ SY3130 @ SV854 @ ( tc_fun @ SY3129 @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV343 @ SY3130 @ SY3129 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2215]) ).
thf(2747,plain,
! [SV855: $i,SV344: $i] :
( ( ! [SY3131: $i,SY3132: $i] :
( ( hBOOL @ ( c_in @ SV344 @ SV855 @ SY3131 ) )
| ~ ( hBOOL @ ( c_in @ SV344 @ SY3132 @ SY3131 ) )
| ~ ( c_lessequals @ SY3132 @ SV855 @ ( tc_fun @ SY3131 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2216]) ).
thf(2748,plain,
! [SV856: $i,SV345: $i] :
( ( ! [SY3133: $i,SY3134: $i,SY3135: $i] :
( ~ ( class_HOL_Oord @ SV345 )
| ( c_lessequals @ ( hAPP @ SV856 @ SY3133 ) @ ( hAPP @ SY3134 @ SY3133 ) @ SV345 )
| ~ ( c_lessequals @ SV856 @ SY3134 @ ( tc_fun @ SY3135 @ SV345 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2217]) ).
thf(2749,plain,
! [SV857: $i,SV346: $i] :
( ( ! [SY3136: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV346 @ SV857 ) @ ( c_Event_Oknows @ SV346 @ ( c_List_Olist_OCons @ SY3136 @ SV857 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2219]) ).
thf(2750,plain,
! [SV858: $i,SV347: $i] :
( ( ! [SY3137: $i,SY3138: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV347 @ SV858 ) @ ( c_Event_Oknows @ SV347 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SY3137 @ SY3138 ) @ SV858 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2220]) ).
thf(2751,plain,
! [SV859: $i,SV348: $i] :
( ( ! [SY3139: $i] :
( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV348 @ SV859 ) @ SY3139 @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY3139 ) )
| ( hBOOL @ ( c_in @ SV348 @ c_Event_Obad @ tc_Message_Oagent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2221]) ).
thf(2752,plain,
! [SV860: $i,SV349: $i] :
( ( ! [SY3140: $i,SY3141: $i] : ( hBOOL @ ( c_in @ ( hAPP @ SV349 @ SV860 ) @ ( c_Set_Oimage @ SV349 @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SY3140 @ tc_bool ) ) @ SY3140 @ SY3141 ) @ SY3141 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2222]) ).
thf(2753,plain,
! [SV861: $i,SV350: $i] :
( ( ! [SY3142: $i,SY3143: $i,SY3144: $i,SY3145: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ SV350 @ SV861 ) @ SY3142 @ SY3143 ) )
| ~ ( hBOOL @ ( c_in @ SV861 @ SY3144 @ SY3145 ) )
| ~ ( c_lessequals @ ( c_Set_Oimage @ SV350 @ SY3144 @ SY3145 @ SY3143 ) @ SY3142 @ ( tc_fun @ SY3143 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2223]) ).
thf(2754,plain,
! [SV862: $i,SV351: $i] :
( ( ! [SY3146: $i,SY3147: $i] :
( ( SV351 = SV862 )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV351 ) @ SY3146 ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV862 ) @ SY3147 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2224]) ).
thf(2755,plain,
! [SV863: $i,SV352: $i] :
( ( ! [SY3148: $i,SY3149: $i] :
( ( hBOOL @ ( c_in @ SV352 @ SV863 @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SY3148 ) @ SV352 ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SY3149 ) @ SV863 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2225]) ).
thf(2756,plain,
! [SV864: $i,SV353: $i] :
( ( ! [SY3150: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV353 ) @ SV864 ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV353 ) @ SY3150 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV864 @ SY3150 @ tc_Message_Oagent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2226]) ).
thf(2757,plain,
! [SV865: $i,SV354: $i] :
( ( hBOOL @ ( hAPP @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SV354 @ tc_bool ) ) @ SV865 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2227]) ).
thf(2758,plain,
! [SV866: $i,SV355: $i] :
( ( ! [SY3151: $i] :
( ( SV355 = SV866 )
| ~ ( c_lessequals @ SV866 @ SV355 @ ( tc_fun @ SY3151 @ tc_bool ) )
| ~ ( c_lessequals @ SV355 @ SV866 @ ( tc_fun @ SY3151 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2228]) ).
thf(2759,plain,
! [SV867: $i,SV356: $i] :
( ( ! [SY3152: $i] :
( ( SV356 = SV867 )
| ~ ( c_lessequals @ SV867 @ SV356 @ ( tc_fun @ SY3152 @ tc_bool ) )
| ~ ( c_lessequals @ SV356 @ SV867 @ ( tc_fun @ SY3152 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2229]) ).
thf(2760,plain,
! [SV868: $i,SV357: $i] :
( ( ! [SY3153: $i] :
( ~ ( class_Orderings_Oorder @ SV357 )
| ( SV868 = SY3153 )
| ~ ( c_lessequals @ SY3153 @ SV868 @ SV357 )
| ~ ( c_lessequals @ SV868 @ SY3153 @ SV357 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2230]) ).
thf(2761,plain,
! [SV869: $i,SV358: $i] :
( ( ! [SY3154: $i] :
( ~ ( class_Orderings_Oorder @ SV358 )
| ( SV869 = SY3154 )
| ~ ( c_lessequals @ SY3154 @ SV869 @ SV358 )
| ~ ( c_lessequals @ SV869 @ SY3154 @ SV358 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2231]) ).
thf(2762,plain,
! [SV870: $i,SV359: $i] :
( ( ! [SY3155: $i] :
( ~ ( class_Orderings_Oorder @ SV359 )
| ( SV870 = SY3155 )
| ~ ( c_lessequals @ SV870 @ SY3155 @ SV359 )
| ~ ( c_lessequals @ SY3155 @ SV870 @ SV359 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2232]) ).
thf(2763,plain,
! [SV871: $i,SV360: $i] :
( ( ! [SY3156: $i] : ( c_lessequals @ ( c_List_Oset @ SV360 @ SV871 ) @ ( c_List_Oset @ ( c_List_Olist_OCons @ SY3156 @ SV360 @ SV871 ) @ SV871 ) @ ( tc_fun @ SV871 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2233]) ).
thf(2764,plain,
! [SV872: $i,SV361: $i] :
( ( ! [SY3157: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV361 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV872 @ SY3157 ) @ SV361 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2234]) ).
thf(2765,plain,
! [SV873: $i,SV362: $i] :
( ( c_lessequals @ SV362 @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SV873 @ tc_bool ) ) @ ( tc_fun @ SV873 @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2235]) ).
thf(2766,plain,
! [SV874: $i,SV363: $i] :
( ( ~ ( class_Orderings_Otop @ SV363 )
| ( c_lessequals @ SV874 @ ( c_Orderings_Otop__class_Otop @ SV363 ) @ SV363 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2236]) ).
thf(2767,plain,
! [SV875: $i,SV364: $i] :
( ( ! [SY3158: $i,SY3159: $i] :
( ~ ( class_Orderings_Oorder @ SV364 )
| ( c_lessequals @ SV875 @ SY3158 @ SV364 )
| ~ ( c_lessequals @ SV875 @ SY3159 @ SV364 )
| ~ ( c_lessequals @ SY3159 @ SY3158 @ SV364 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2237]) ).
thf(2768,plain,
! [SV876: $i,SV365: $i] :
( ( ! [SY3160: $i,SY3161: $i] :
( ~ ( class_Orderings_Opreorder @ SV365 )
| ( c_lessequals @ SV876 @ SY3160 @ SV365 )
| ~ ( c_lessequals @ SY3161 @ SY3160 @ SV365 )
| ~ ( c_lessequals @ SV876 @ SY3161 @ SV365 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2238]) ).
thf(2769,plain,
! [SV877: $i,SV366: $i] :
( ( c_lessequals @ SV366 @ SV366 @ ( tc_fun @ SV877 @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2239]) ).
thf(2770,plain,
! [SV878: $i,SV367: $i] :
( ( c_lessequals @ SV367 @ SV367 @ ( tc_fun @ SV878 @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2240]) ).
thf(2771,plain,
! [SV879: $i,SV368: $i] :
( ( ! [SY3162: $i,SY3163: $i] :
( ( c_lessequals @ SV368 @ SV879 @ ( tc_fun @ SY3162 @ tc_bool ) )
| ~ ( c_lessequals @ SY3163 @ SV879 @ ( tc_fun @ SY3162 @ tc_bool ) )
| ~ ( c_lessequals @ SV368 @ SY3163 @ ( tc_fun @ SY3162 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2241]) ).
thf(2772,plain,
! [SV880: $i,SV369: $i] :
( ( ! [SY3164: $i,SY3165: $i] :
( ( hBOOL @ ( hAPP @ SV369 @ SV880 ) )
| ~ ( hBOOL @ ( hAPP @ SY3164 @ SV880 ) )
| ~ ( c_lessequals @ SY3164 @ SV369 @ ( tc_fun @ SY3165 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2242]) ).
thf(2773,plain,
! [SV881: $i,SV370: $i] :
( ( ~ ( class_Orderings_Oorder @ SV370 )
| ( c_lessequals @ SV881 @ SV881 @ SV370 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2243]) ).
thf(2774,plain,
! [SV882: $i,SV371: $i] :
( ( ~ ( class_Orderings_Opreorder @ SV371 )
| ( c_lessequals @ SV882 @ SV882 @ SV371 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2244]) ).
thf(2775,plain,
! [SV883: $i,SV372: $i] :
( ( ! [SY3166: $i,SY3167: $i] :
( ( hBOOL @ ( hAPP @ SV372 @ SV883 ) )
| ~ ( c_lessequals @ SY3166 @ SV372 @ ( tc_fun @ SY3167 @ tc_bool ) )
| ~ ( hBOOL @ ( hAPP @ SY3166 @ SV883 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2245]) ).
thf(2776,plain,
! [SV884: $i,SV373: $i] :
( ( ! [SY3168: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV373 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV884 @ SY3168 ) @ SV373 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2246]) ).
thf(2777,plain,
! [SV885: $i,SV374: $i] :
( ( ! [SY3169: $i,SY3170: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV374 @ SV885 ) @ ( c_Event_Oknows @ SV374 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SY3169 @ SY3170 ) @ SV885 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2247]) ).
thf(2778,plain,
! [SV886: $i,SV375: $i] :
( ( ! [SY3171: $i,SY3172: $i,SY3173: $i] :
( ( c_lessequals @ ( c_Set_Oimage @ SV375 @ SV886 @ SY3171 @ SY3172 ) @ ( c_Set_Oimage @ SV375 @ SY3173 @ SY3171 @ SY3172 ) @ ( tc_fun @ SY3172 @ tc_bool ) )
| ~ ( c_lessequals @ SV886 @ SY3173 @ ( tc_fun @ SY3171 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2248]) ).
thf(2779,plain,
! [SV887: $i,SV376: $i] :
( ( ! [SY3174: $i,SY3175: $i,SY3176: $i] :
( ~ ( c_lessequals @ SV376 @ SV887 @ ( tc_fun @ SY3174 @ tc_bool ) )
| ( c_lessequals @ ( c_Set_Oimage @ SY3175 @ SV376 @ SY3174 @ SY3176 ) @ ( c_Set_Oimage @ SY3175 @ SV887 @ SY3174 @ SY3176 ) @ ( tc_fun @ SY3176 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2249]) ).
thf(2780,plain,
! [SV888: $i,SV377: $i] :
( ( ! [SY3177: $i] :
( ( c_Event_Oused @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV377 @ SV888 ) @ SY3177 @ tc_Event_Oevent ) )
= ( c_Event_Oused @ SY3177 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2250]) ).
thf(2781,plain,
! [SV889: $i,SV378: $i] :
( ( ! [SY3178: $i] :
( ~ ( class_Orderings_Olinorder @ SV378 )
| ( c_lessequals @ SV889 @ SY3178 @ SV378 )
| ( c_lessequals @ SY3178 @ SV889 @ SV378 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2251]) ).
thf(2782,plain,
! [SV890: $i,SV379: $i] :
( ( ( hBOOL @ ( c_in @ SV379 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV379 ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV890 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV890 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2252]) ).
thf(2783,plain,
! [SV891: $i,SV380: $i] :
( ( ( hBOOL @ ( c_in @ SV380 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV380 ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV891 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV891 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2253]) ).
thf(2784,plain,
! [SV892: $i,SV381: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV381 ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV892 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV381 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ SV892 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2254]) ).
thf(2785,plain,
! [SV893: $i,SV383: $i] :
( ( ! [SY3179: $i] :
( ( hBOOL @ ( c_in @ SV383 @ ( c_Message_OkeysFor @ SV893 ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV383 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV383 @ SY3179 ) @ SV893 @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2256]) ).
thf(2786,plain,
! [SV894: $i,SV384: $i] :
( ( ! [SY3180: $i] :
( ( hBOOL @ ( c_in @ SV384 @ ( c_Event_Oknows @ SV894 @ SY3180 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SV894 @ SV384 ) @ ( c_List_Oset @ SY3180 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2257]) ).
thf(2787,plain,
! [SV895: $i,SV385: $i] :
( ( ! [SY3181: $i] :
( ( hBOOL @ ( c_in @ SV385 @ ( c_Event_Oused @ SV895 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SY3181 @ SV385 ) @ ( c_List_Oset @ SV895 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2258]) ).
thf(2788,plain,
! [SV896: $i,SV386: $i] :
( ( ! [SY3182: $i] : ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ ( c_Public_OpublicKey @ SV386 ) @ SV896 ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY3182 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2259]) ).
thf(2789,plain,
! [SV897: $i,SV387: $i] :
( ( ! [SY3183: $i,SY3184: $i,SY3185: $i] :
( ~ ( hBOOL @ ( c_in @ SV387 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV897 ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV387 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SY3183 @ SY3184 @ SY3185 ) @ SV897 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2260]) ).
thf(2790,plain,
! [SV898: $i,SV388: $i] :
( ( ! [SY3186: $i,SY3187: $i,SY3188: $i,SY3189: $i,SY3190: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV388 @ SV898 @ SY3186 ) @ SY3187 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV388 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV388 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV898 ) @ ( c_Message_Omsg_ONonce @ SY3188 ) ) ) ) @ ( c_List_Oset @ SY3187 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3189 @ SV388 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV388 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3188 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV898 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3190 ) @ SY3186 ) ) ) ) ) @ ( c_List_Oset @ SY3187 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV388 = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SY3187 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2261]) ).
thf(2791,plain,
! [SV899: $i,SV389: $i] :
( ( ! [SY3191: $i,SY3192: $i] :
( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV389 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV389 ) @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1 @ SV389 @ SV899 @ SY3191 @ SY3192 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV899 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3191 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV899 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3191 ) @ ( c_Message_Omsg_OAgent @ SV389 ) ) ) ) ) ) ) ) @ ( c_List_Oset @ SY3192 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SY3192 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SV899 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV899 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3191 ) @ ( c_Message_Omsg_OAgent @ SV389 ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY3192 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2262]) ).
thf(2792,plain,
! [SV900: $i,SV390: $i] :
( ( ! [SY3193: $i] :
( ( hBOOL @ ( c_in @ SV390 @ ( c_Event_Oknows @ SV900 @ SY3193 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OGets @ SV900 @ SV390 ) @ ( c_List_Oset @ SY3193 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV900 = c_Message_Oagent_OSpy ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2263]) ).
thf(2793,plain,
! [SV901: $i,SV391: $i] :
( ( ! [SY3194: $i,SY3195: $i,SY3196: $i,SY3197: $i] :
( ( SV391
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV901 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3194 ) @ ( c_Message_Omsg_OAgent @ SY3195 ) ) ) )
| ~ ( hBOOL @ ( c_in @ SY3196 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SY3195 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3195 ) @ ( c_Message_Omsg_OMPair @ SY3197 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV901 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3194 ) @ SV391 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY3196 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2264]) ).
thf(2794,plain,
! [SV902: $i,SV392: $i] :
( ( ! [SY3198: $i,SY3199: $i,SY3200: $i,SY3201: $i,SY3202: $i,SY3203: $i,SY3204: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV392 @ SV902 @ ( c_Message_Omsg_OCrypt @ SY3198 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3199 ) @ ( c_Message_Omsg_ONonce @ SY3199 ) ) ) ) @ SY3200 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3201 @ SV392 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV392 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3202 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV902 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3198 ) @ SY3203 ) ) ) ) ) @ ( c_List_Oset @ SY3200 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3204 @ SV392 @ ( c_Message_Omsg_OCrypt @ SY3198 @ ( c_Message_Omsg_ONonce @ SY3199 ) ) ) @ ( c_List_Oset @ SY3200 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SY3198 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SY3200 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2265]) ).
thf(2795,plain,
! [SV903: $i,SV393: $i] :
( ( ! [SY3205: $i,SY3206: $i,SY3207: $i,SY3208: $i,SY3209: $i] :
( ~ ( hBOOL @ ( c_in @ SV393 @ ( 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 @ SV903 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3205 @ ( c_Message_Omsg_OCrypt @ SY3206 @ ( c_Message_Omsg_OMPair @ SY3207 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3208 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV393 ) @ SY3209 ) ) ) ) ) @ ( c_List_Oset @ SV903 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2266]) ).
thf(2796,plain,
! [SV904: $i,SV394: $i] :
( ( ! [SY3210: $i,SY3211: $i,SY3212: $i,SY3213: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV394 @ SV904 @ ( c_Message_Omsg_OCrypt @ SY3210 @ ( c_Message_Omsg_ONonce @ SY3211 ) ) ) @ SY3212 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3213 @ SV394 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV394 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3210 ) @ ( c_Message_Omsg_OAgent @ SV904 ) ) ) ) @ ( c_List_Oset @ SY3212 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SY3210 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SY3211 ) @ ( c_Event_Oused @ SY3212 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SY3212 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2267]) ).
thf(2797,plain,
! [SV905: $i,SV395: $i] :
( ( ! [SY3214: $i,SY3215: $i,SY3216: $i,SY3217: $i,SY3218: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV395 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV905 ) @ ( hAPP @ c_Message_Omsg_OKey @ SY3214 ) ) ) ) @ SY3215 @ 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 @ SY3216 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3216 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV395 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3217 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3214 ) @ SY3218 ) ) ) ) ) @ ( c_List_Oset @ SY3215 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3217 @ SY3216 @ ( c_Message_Omsg_OCrypt @ SY3214 @ ( c_Message_Omsg_ONonce @ SV905 ) ) ) @ ( c_List_Oset @ SY3215 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SY3215 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2268]) ).
thf(2798,plain,
! [SV906: $i,SV396: $i] :
( ( ! [SY3219: $i,SY3220: $i,SY3221: $i,SY3222: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV396 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV396 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV906 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3219 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3220 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3219 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3220 ) @ ( c_Message_Omsg_OAgent @ SV396 ) ) ) ) ) ) ) ) @ SY3221 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3222 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV396 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3219 ) @ ( c_Message_Omsg_ONonce @ SV906 ) ) ) ) @ ( c_List_Oset @ SY3221 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SY3220 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SY3220 ) @ ( c_Event_Oused @ SY3221 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SY3221 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2269]) ).
thf(2799,plain,
! [SV907: $i,SV397: $i] :
( ( ! [SY3223: $i,SY3224: $i,SY3225: $i,SY3226: $i] :
( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV397 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV397 ) @ ( c_Message_Omsg_OMPair @ SV907 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3223 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3224 ) @ SY3225 ) ) ) ) ) @ ( c_List_Oset @ SY3226 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SY3226 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SV397 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV397 ) @ ( c_Message_Omsg_OMPair @ SV907 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3223 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3224 ) @ SY3225 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY3226 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2270]) ).
thf(2800,plain,
! [SV908: $i,SV398: $i] :
( ( ! [SY3227: $i,SY3228: $i,SY3229: $i,SY3230: $i,SY3231: $i] :
( ( hBOOL @ ( c_in @ SV398 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV908 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY3227 @ ( 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 @ SV908 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3228 @ SY3229 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3229 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3230 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3231 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3227 ) @ SV398 ) ) ) ) ) @ ( c_List_Oset @ SV908 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2271]) ).
thf(2801,plain,
! [SV909: $i,SV399: $i] :
( ( ! [SY3232: $i,SY3233: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV399 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV399 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV909 ) @ ( c_Message_Omsg_ONonce @ SY3232 ) ) ) ) @ SY3233 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SY3232 ) @ ( c_Event_Oused @ SY3233 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY3233 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2272]) ).
thf(2802,plain,
! [SV910: $i,SV400: $i] :
( ( ~ ( hBOOL @ ( c_in @ SV400 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV910 ) ) ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV910 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ SV400 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV400 ) @ ( c_Event_Oused @ SV910 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2273]) ).
thf(2803,plain,
! [SV911: $i,SV401: $i] :
( ( ! [SY3234: $i,SY3235: $i,SY3236: $i,SY3237: $i,SY3238: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV401 @ SV911 @ SY3234 ) @ SY3235 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV401 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV401 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV911 ) @ ( c_Message_Omsg_ONonce @ SY3236 ) ) ) ) @ ( c_List_Oset @ SY3235 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3237 @ SV401 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV401 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3236 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV911 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3238 ) @ SY3234 ) ) ) ) ) @ ( c_List_Oset @ SY3235 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV401 = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_in @ SY3235 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2274]) ).
thf(2804,plain,
! [SV912: $i,SV402: $i] :
( ( ! [SY3239: $i,SY3240: $i,SY3241: $i,SY3242: $i,SY3243: $i,SY3244: $i,SY3245: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV402 @ SV912 @ ( c_Message_Omsg_OCrypt @ SY3239 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3240 ) @ ( c_Message_Omsg_ONonce @ SY3240 ) ) ) ) @ SY3241 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3242 @ SV402 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV402 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3243 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV912 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3239 ) @ SY3244 ) ) ) ) ) @ ( c_List_Oset @ SY3241 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3245 @ SV402 @ ( c_Message_Omsg_OCrypt @ SY3239 @ ( c_Message_Omsg_ONonce @ SY3240 ) ) ) @ ( c_List_Oset @ SY3241 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SY3239 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SY3241 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2275]) ).
thf(2805,plain,
! [SV913: $i,SV403: $i] :
( ( ! [SY3246: $i,SY3247: $i,SY3248: $i,SY3249: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV403 @ SV913 @ ( c_Message_Omsg_OCrypt @ SY3246 @ ( c_Message_Omsg_ONonce @ SY3247 ) ) ) @ SY3248 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3249 @ SV403 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV403 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3246 ) @ ( c_Message_Omsg_OAgent @ SV913 ) ) ) ) @ ( c_List_Oset @ SY3248 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SY3246 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SY3247 ) @ ( c_Event_Oused @ SY3248 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY3248 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2276]) ).
thf(2806,plain,
! [SV914: $i,SV404: $i] :
( ( ! [SY3250: $i,SY3251: $i,SY3252: $i,SY3253: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV404 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV404 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV914 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3250 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3251 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3250 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3251 ) @ ( c_Message_Omsg_OAgent @ SV404 ) ) ) ) ) ) ) ) @ SY3252 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3253 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV404 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3250 ) @ ( c_Message_Omsg_ONonce @ SV914 ) ) ) ) @ ( c_List_Oset @ SY3252 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SY3251 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SY3251 ) @ ( c_Event_Oused @ SY3252 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY3252 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2277]) ).
thf(2807,plain,
! [SV915: $i,SV407: $i] :
( ( ! [SY3254: $i,SY3255: $i] :
( ( hBOOL @ ( c_in @ SV407 @ ( c_Event_Oknows @ SV915 @ SY3254 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV915 @ SY3255 @ SV407 ) @ ( c_List_Oset @ SY3254 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2280]) ).
thf(2808,plain,
! [SV916: $i,SV409: $i] :
( ( ! [SY3256: $i] :
( ( hBOOL @ ( c_in @ SV409 @ ( c_Message_Oanalz @ SV916 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SY3256 @ SV409 ) @ ( c_Message_Oanalz @ SV916 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2282]) ).
thf(2809,plain,
! [SV917: $i,SV410: $i] :
( ( ! [SY3257: $i] :
( ( hBOOL @ ( c_in @ SV410 @ ( c_Message_Oanalz @ SV917 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV410 @ SY3257 ) @ ( c_Message_Oanalz @ SV917 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2283]) ).
thf(2810,plain,
! [SV918: $i,SV411: $i] :
( ( ! [SY3258: $i] :
( ( hBOOL @ ( c_in @ SV411 @ ( c_Message_Oparts @ SV918 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SY3258 @ SV411 ) @ ( c_Message_Oparts @ SV918 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2284]) ).
thf(2811,plain,
! [SV919: $i,SV412: $i] :
( ( ! [SY3259: $i] :
( ( hBOOL @ ( c_in @ SV412 @ ( c_Message_Oparts @ SV919 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV412 @ SY3259 ) @ ( c_Message_Oparts @ SV919 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2285]) ).
thf(2812,plain,
! [SV920: $i,SV413: $i] :
( ( ! [SY3260: $i] :
( ( hBOOL @ ( c_in @ SV413 @ ( c_Event_Oused @ SV920 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SY3260 @ SV413 ) @ ( c_Event_Oused @ SV920 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2286]) ).
thf(2813,plain,
! [SV921: $i,SV414: $i] :
( ( ! [SY3261: $i] :
( ( hBOOL @ ( c_in @ SV414 @ ( c_Event_Oused @ SV921 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV414 @ SY3261 ) @ ( c_Event_Oused @ SV921 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2287]) ).
thf(2814,plain,
! [SV922: $i,SV415: $i] :
( ( ! [SY3262: $i] :
( ( hBOOL @ ( c_in @ SV415 @ ( c_Message_Oanalz @ SV922 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SY3262 ) @ ( c_Message_Oanalz @ SV922 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY3262 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SY3262 @ SV415 ) @ ( c_Message_Oanalz @ SV922 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2288]) ).
thf(2815,plain,
! [SV923: $i,SV416: $i] :
( ( ( hBOOL @ ( c_in @ SV416 @ ( c_Message_Oparts @ SV923 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV416 @ SV923 @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2289]) ).
thf(2816,plain,
! [SV924: $i,SV417: $i] :
( ( ( hBOOL @ ( c_in @ SV417 @ ( c_Message_Oanalz @ SV924 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV417 @ SV924 @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2290]) ).
thf(2817,plain,
! [SV925: $i,SV418: $i] :
( ( ! [SY3263: $i,SY3264: $i] :
( ( hBOOL @ ( c_in @ SV418 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV925 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3263 @ SY3264 @ SV418 ) @ ( c_List_Oset @ SV925 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2291]) ).
thf(2818,plain,
! [SV926: $i,SV419: $i] :
( ( ! [SY3265: $i,SY3266: $i] :
( ( hBOOL @ ( c_in @ SV419 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV926 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3265 @ SY3266 @ SV419 ) @ ( c_List_Oset @ SV926 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2292]) ).
thf(2819,plain,
! [SV927: $i,SV420: $i] :
( ( ( hBOOL @ ( c_in @ SV420 @ ( c_Event_Oused @ SV927 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV420 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV927 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2293]) ).
thf(2820,plain,
! [SV928: $i,SV421: $i] :
( ( ! [SY3267: $i,SY3268: $i,SY3269: $i,SY3270: $i,SY3271: $i,SY3272: $i] :
( ( hBOOL @ ( c_in @ SV421 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV928 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3267 @ SY3268 @ ( c_Message_Omsg_OCrypt @ SY3269 @ ( c_Message_Omsg_OMPair @ SY3270 @ ( c_Message_Omsg_OMPair @ SY3271 @ ( c_Message_Omsg_OMPair @ SY3272 @ SV421 ) ) ) ) ) @ ( c_List_Oset @ SV928 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2294]) ).
thf(2821,plain,
! [SV929: $i,SV424: $i] :
( ( ! [SY3273: $i,SY3274: $i,SY3275: $i,SY3276: $i,SY3277: $i] :
( ( SV424
= ( hAPP @ c_Public_OshrK @ SV929 ) )
| ~ ( hBOOL @ ( c_in @ SY3273 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV929 @ ( c_Message_Omsg_OCrypt @ SV424 @ ( c_Message_Omsg_OMPair @ SY3274 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3275 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3276 ) @ SY3277 ) ) ) ) ) @ ( c_List_Oset @ SY3273 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2297]) ).
thf(2822,plain,
! [SV930: $i,SV425: $i] :
( ( ! [SY3278: $i] :
( ( hBOOL @ ( c_in @ SV425 @ ( c_Message_Oparts @ SV930 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SY3278 @ SV425 ) @ ( c_Message_Oparts @ SV930 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2298]) ).
thf(2823,plain,
! [SV931: $i,SV426: $i] :
( ( ! [SY3279: $i] :
( ( hBOOL @ ( c_in @ SV426 @ ( c_Message_Oanalz @ SV931 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SY3279 ) ) @ ( c_Message_Oanalz @ SV931 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3279 ) @ SV426 ) @ ( c_Message_Oanalz @ SV931 ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2299]) ).
thf(2824,plain,
! [SV932: $i,SV427: $i] :
( ( ! [SY3280: $i,SY3281: $i] :
( ( hBOOL @ ( c_in @ SV427 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV932 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3280 @ SY3281 @ SV427 ) @ ( c_List_Oset @ SV932 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2300]) ).
thf(2825,plain,
! [SV933: $i,SV428: $i] :
( ( ( hBOOL @ ( c_in @ SV428 @ ( c_Message_Oparts @ SV933 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV428 @ ( c_Message_Oparts @ ( c_Message_Oparts @ SV933 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2301]) ).
thf(2826,plain,
! [SV934: $i,SV429: $i] :
( ( ! [SY3282: $i,SY3283: $i,SY3284: $i,SY3285: $i,SY3286: $i,SY3287: $i,SY3288: $i,SY3289: $i] :
( ( SV429 = SV934 )
| ~ ( hBOOL @ ( c_in @ SY3282 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV934 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV934 ) @ ( c_Message_Omsg_OMPair @ SY3283 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3284 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3285 ) @ SY3286 ) ) ) ) ) @ ( c_List_Oset @ SY3282 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV429 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV429 ) @ ( c_Message_Omsg_OMPair @ SY3287 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3288 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3285 ) @ SY3289 ) ) ) ) ) @ ( c_List_Oset @ SY3282 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2302]) ).
thf(2827,plain,
! [SV935: $i,SV430: $i] :
( ( ! [SY3290: $i,SY3291: $i,SY3292: $i,SY3293: $i,SY3294: $i,SY3295: $i,SY3296: $i,SY3297: $i] :
( ( SV430 = SV935 )
| ~ ( hBOOL @ ( c_in @ SY3290 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3291 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3291 ) @ ( c_Message_Omsg_OMPair @ SV935 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3292 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3293 ) @ SY3294 ) ) ) ) ) @ ( c_List_Oset @ SY3290 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3295 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3295 ) @ ( c_Message_Omsg_OMPair @ SV430 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3296 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3293 ) @ SY3297 ) ) ) ) ) @ ( c_List_Oset @ SY3290 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2303]) ).
thf(2828,plain,
! [SV936: $i,SV431: $i] :
( ( ! [SY3298: $i,SY3299: $i,SY3300: $i,SY3301: $i,SY3302: $i,SY3303: $i,SY3304: $i,SY3305: $i] :
( ( SV431 = SV936 )
| ~ ( hBOOL @ ( c_in @ SY3298 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3299 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3299 ) @ ( c_Message_Omsg_OMPair @ SY3300 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV936 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3301 ) @ SY3302 ) ) ) ) ) @ ( c_List_Oset @ SY3298 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3303 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3303 ) @ ( c_Message_Omsg_OMPair @ SY3304 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV431 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3301 ) @ SY3305 ) ) ) ) ) @ ( c_List_Oset @ SY3298 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2304]) ).
thf(2829,plain,
! [SV937: $i,SV432: $i] :
( ( ! [SY3306: $i,SY3307: $i,SY3308: $i,SY3309: $i,SY3310: $i,SY3311: $i,SY3312: $i,SY3313: $i] :
( ( SV432 = SV937 )
| ~ ( hBOOL @ ( c_in @ SY3306 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3307 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3307 ) @ ( c_Message_Omsg_OMPair @ SY3308 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3309 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3310 ) @ SV937 ) ) ) ) ) @ ( c_List_Oset @ SY3306 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3311 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3311 ) @ ( c_Message_Omsg_OMPair @ SY3312 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3313 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3310 ) @ SV432 ) ) ) ) ) @ ( c_List_Oset @ SY3306 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2305]) ).
thf(2830,plain,
! [SV938: $i,SV433: $i] :
( ( ! [SY3314: $i,SY3315: $i,SY3316: $i,SY3317: $i] :
( ( hBOOL @ ( c_in @ SV433 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV938 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3314 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3314 ) @ ( c_Message_Omsg_OMPair @ SY3315 @ ( c_Message_Omsg_OMPair @ SY3316 @ ( c_Message_Omsg_OMPair @ SV433 @ SY3317 ) ) ) ) ) @ ( c_List_Oset @ SV938 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2306]) ).
thf(2831,plain,
! [SV939: $i,SV434: $i] :
( ( ! [SY3318: $i,SY3319: $i] :
( ( hBOOL @ ( c_in @ SV434 @ ( c_Event_Oused @ SV939 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3318 @ SY3319 @ SV434 ) @ ( c_List_Oset @ SV939 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2307]) ).
thf(2832,plain,
! [SV940: $i,SV435: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV435 ) ) @ ( c_Event_Oknows @ SV435 @ SV940 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2308]) ).
thf(2833,plain,
! [SV941: $i,SV436: $i] :
( ( ( hBOOL @ ( c_in @ SV436 @ ( c_Message_Oanalz @ SV941 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV436 @ ( c_Message_Oanalz @ ( c_Message_Oanalz @ SV941 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2309]) ).
thf(2834,plain,
! [SV942: $i,SV437: $i] :
( ( ! [SY3320: $i] :
( ( hBOOL @ ( c_in @ SV437 @ SV942 @ SY3320 ) )
| ~ ( hBOOL @ ( hAPP @ SV942 @ SV437 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2310]) ).
thf(2835,plain,
! [SV943: $i,SV438: $i] :
( ( ! [SY3321: $i] :
( ( hBOOL @ ( hAPP @ SV438 @ SV943 ) )
| ~ ( hBOOL @ ( c_in @ SV943 @ SV438 @ SY3321 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2311]) ).
thf(2836,plain,
! [SV944: $i,SV439: $i] :
( ( ! [SY3322: $i,SY3323: $i,SY3324: $i,SY3325: $i,SY3326: $i] :
( ( hBOOL @ ( c_in @ SV439 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV944 ) ) @ tc_Message_Omsg ) )
| ( SV439
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3322 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3323 ) @ ( c_Message_Omsg_OAgent @ SY3324 ) ) ) )
| ~ ( hBOOL @ ( c_in @ SV944 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3325 @ SY3324 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3324 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3326 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3322 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3323 ) @ SV439 ) ) ) ) ) @ ( c_List_Oset @ SV944 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2312]) ).
thf(2837,plain,
! [SV945: $i,SV440: $i] :
( ( ! [SY3327: $i,SY3328: $i,SY3329: $i,SY3330: $i,SY3331: $i] :
( ( SV440
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV945 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3327 ) @ ( c_Message_Omsg_OAgent @ SY3328 ) ) ) )
| ~ ( hBOOL @ ( c_in @ SY3329 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3328 @ ( c_Message_Omsg_OCrypt @ SY3330 @ ( c_Message_Omsg_OMPair @ SY3331 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV945 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3327 ) @ SV440 ) ) ) ) ) @ ( c_List_Oset @ SY3329 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2313]) ).
thf(2838,plain,
! [SV946: $i,SV441: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV441 ) ) @ ( c_Event_Oused @ SV946 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2314]) ).
thf(2839,plain,
! [SV947: $i,SV442: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV442 ) ) @ ( c_Event_Oused @ SV947 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2315]) ).
thf(2840,plain,
! [SV948: $i,SV443: $i] :
( ( ~ ( hBOOL @ ( c_in @ SV443 @ ( c_Message_Oanalz @ SV948 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV443 @ ( c_Message_Oparts @ SV948 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2316]) ).
thf(2841,plain,
! [SV949: $i,SV444: $i] :
( ( ( hBOOL @ ( c_in @ SV444 @ ( c_Message_Oparts @ SV949 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV444 @ ( c_Message_Oanalz @ SV949 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2317]) ).
thf(2842,plain,
! [SV950: $i,SV445: $i] :
( ( ( hBOOL @ ( c_in @ SV445 @ ( c_Message_Oparts @ SV950 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV445 @ ( c_Message_Oanalz @ SV950 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2318]) ).
thf(2843,plain,
! [SV951: $i,SV446: $i] :
( ( ( class_Lattices_Oupper__semilattice @ ( tc_fun @ SV446 @ SV951 ) )
| ~ ( class_Lattices_Olattice @ SV951 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2319]) ).
thf(2844,plain,
! [SV952: $i,SV447: $i] :
( ( ( class_Lattices_Obounded__lattice @ ( tc_fun @ SV447 @ SV952 ) )
| ~ ( class_Lattices_Obounded__lattice @ SV952 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2320]) ).
thf(2845,plain,
! [SV953: $i,SV448: $i] :
( ( ( class_Lattices_Oboolean__algebra @ ( tc_fun @ SV448 @ SV953 ) )
| ~ ( class_Lattices_Oboolean__algebra @ SV953 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2321]) ).
thf(2846,plain,
! [SV954: $i,SV449: $i] :
( ( ( class_Orderings_Opreorder @ ( tc_fun @ SV449 @ SV954 ) )
| ~ ( class_Orderings_Opreorder @ SV954 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2322]) ).
thf(2847,plain,
! [SV955: $i,SV450: $i] :
( ( ( class_Lattices_Olattice @ ( tc_fun @ SV450 @ SV955 ) )
| ~ ( class_Lattices_Olattice @ SV955 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2323]) ).
thf(2848,plain,
! [SV956: $i,SV451: $i] :
( ( ( class_Orderings_Oorder @ ( tc_fun @ SV451 @ SV956 ) )
| ~ ( class_Orderings_Oorder @ SV956 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2324]) ).
thf(2849,plain,
! [SV957: $i,SV452: $i] :
( ( ( class_Orderings_Otop @ ( tc_fun @ SV452 @ SV957 ) )
| ~ ( class_Orderings_Otop @ SV957 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2325]) ).
thf(2850,plain,
! [SV958: $i,SV453: $i] :
( ( ( class_Orderings_Obot @ ( tc_fun @ SV453 @ SV958 ) )
| ~ ( class_Orderings_Obot @ SV958 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2326]) ).
thf(2851,plain,
! [SV959: $i,SV454: $i] :
( ( ( class_HOL_Ouminus @ ( tc_fun @ SV454 @ SV959 ) )
| ~ ( class_HOL_Ouminus @ SV959 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2327]) ).
thf(2852,plain,
! [SV960: $i,SV455: $i] :
( ( ( class_HOL_Oord @ ( tc_fun @ SV455 @ SV960 ) )
| ~ ( class_HOL_Oord @ SV960 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2328]) ).
thf(2853,plain,
! [SV961: $i,SV456: $i] :
( ( c_fequal @ SV456 @ SV456 @ SV961 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2329]) ).
thf(2854,plain,
! [SV962: $i,SV457: $i] :
( ( ! [SY3332: $i] :
( ( SV457 = SV962 )
| ~ ( c_fequal @ SV457 @ SV962 @ SY3332 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2330]) ).
thf(2855,plain,
! [SV963: $i,SV458: $i] :
( ( ( c_Message_Omsg_ONonce @ SV458 )
!= ( hAPP @ c_Message_Omsg_OKey @ SV963 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2332]) ).
thf(2856,plain,
! [SV964: $i,SV459: $i] :
( ( ( hAPP @ c_Message_Omsg_OKey @ SV459 )
!= ( c_Message_Omsg_ONonce @ SV964 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2333]) ).
thf(2857,plain,
! [SV965: $i,SV460: $i] :
( ( ! [SY3333: $i,SY3334: $i] :
( ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV460 ) @ SV965 ) )
!= ( hAPP @ ( c_Public_OpublicKey @ SY3333 ) @ SY3334 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2334]) ).
thf(2858,plain,
! [SV966: $i,SV461: $i] :
( ( ( hAPP @ c_Message_Omsg_OKey @ SV461 )
!= ( c_Message_Omsg_OAgent @ SV966 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2335]) ).
thf(2859,plain,
! [SV967: $i,SV462: $i] :
( ( ! [SY3335: $i] :
( ( c_List_Olist_OCons @ SV462 @ SV967 @ SY3335 )
!= SV967 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2336]) ).
thf(2860,plain,
! [SV463: $i] :
( ( c_Message_Oagent_OSpy
= ( c_Message_Oagent_OFriend @ SV463 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2337]) ).
thf(2861,plain,
! [SV968: $i,SV464: $i] :
( ( ! [SY3336: $i] :
( ( c_List_Olist_ONil @ SV464 )
!= ( c_List_Olist_OCons @ SV968 @ SY3336 @ SV464 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2338]) ).
thf(2862,plain,
! [SV969: $i,SV465: $i] :
( ( ! [SY3337: $i] :
( ( c_List_Olist_OCons @ SV465 @ SV969 @ SY3337 )
!= ( c_List_Olist_ONil @ SY3337 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2339]) ).
thf(2863,plain,
! [SV970: $i,SV466: $i] :
( ( ! [SY3338: $i,SY3339: $i] :
( ( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV466 @ tc_bool ) )
!= ( c_Set_Oimage @ SV970 @ SY3338 @ SY3339 @ SV466 ) )
| ( SY3338
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY3339 @ tc_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2340]) ).
thf(2864,plain,
! [SV971: $i,SV467: $i] :
( ( ! [SY3340: $i,SY3341: $i] :
( ( ( c_Message_Omsg_OMPair @ SV467 @ SV971 )
!= ( c_Message_Omsg_OMPair @ SY3340 @ SY3341 ) )
| ( SV467 = SY3340 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2341]) ).
thf(2865,plain,
! [SV972: $i,SV468: $i] :
( ( ( c_Message_Omsg_ONonce @ SV468 )
!= ( c_Message_Omsg_OAgent @ SV972 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2342]) ).
thf(2866,plain,
! [SV973: $i,SV469: $i] :
( ( ! [SY3342: $i,SY3343: $i,SY3344: $i] :
( ( ( c_Set_Oinsert @ SV469 @ ( c_Set_Oinsert @ SV973 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY3342 @ tc_bool ) ) @ SY3342 ) @ SY3342 )
!= ( c_Set_Oinsert @ SY3343 @ ( c_Set_Oinsert @ SY3344 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY3342 @ tc_bool ) ) @ SY3342 ) @ SY3342 ) )
| ( SV469 = SY3344 )
| ( SV469 = SY3343 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2343]) ).
thf(2867,plain,
! [SV974: $i,SV470: $i] :
( ( ! [SY3345: $i,SY3346: $i] :
( ( c_Message_Omsg_OMPair @ SV470 @ SV974 )
!= ( c_Message_Omsg_OCrypt @ SY3345 @ SY3346 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2344]) ).
thf(2868,plain,
! [SV975: $i,SV471: $i] :
( ( ! [SY3347: $i] :
( ( ( c_HOL_Ouminus__class_Ouminus @ SV471 @ ( tc_fun @ SV975 @ tc_bool ) )
!= ( c_HOL_Ouminus__class_Ouminus @ SY3347 @ ( tc_fun @ SV975 @ tc_bool ) ) )
| ( SV471 = SY3347 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2345]) ).
thf(2869,plain,
! [SV976: $i,SV472: $i] :
( ( ! [SY3348: $i] :
( ( hAPP @ c_Message_Omsg_OKey @ SV472 )
!= ( c_Message_Omsg_OCrypt @ SV976 @ SY3348 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2346]) ).
thf(2870,plain,
! [SV977: $i,SV473: $i] :
( ( ! [SY3349: $i,SY3350: $i] :
( ( ( c_Event_Oevent_OGets @ SV473 @ SV977 )
!= ( c_Event_Oevent_OGets @ SY3349 @ SY3350 ) )
| ( SV473 = SY3349 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2347]) ).
thf(2871,plain,
! [SV978: $i,SV474: $i] :
( ( ! [SY3351: $i] :
( SV474
!= ( c_List_Olist_OCons @ SV978 @ SV474 @ SY3351 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2348]) ).
thf(2872,plain,
! [SV979: $i,SV475: $i] :
( ( ( c_Message_Omsg_OAgent @ SV475 )
!= ( hAPP @ c_Message_Omsg_OKey @ SV979 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2349]) ).
thf(2873,plain,
! [SV980: $i,SV476: $i] :
( ( ( c_Message_Omsg_OAgent @ SV476 )
!= ( c_Message_Omsg_ONonce @ SV980 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2350]) ).
thf(2874,plain,
! [SV981: $i,SV477: $i] :
( ( ! [SY3352: $i,SY3353: $i] :
( ( ( hAPP @ ( c_Public_OpublicKey @ SV477 ) @ SV981 )
!= ( hAPP @ ( c_Public_OpublicKey @ SY3352 ) @ SY3353 ) )
| ( SV477 = SY3352 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2351]) ).
thf(2875,plain,
! [SV982: $i,SV478: $i] :
( ( ! [SY3354: $i] :
( ( c_Message_Omsg_OAgent @ SV478 )
!= ( c_Message_Omsg_OCrypt @ SV982 @ SY3354 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2352]) ).
thf(2876,plain,
! [SV983: $i,SV479: $i] :
( ( ! [SY3355: $i,SY3356: $i,SY3357: $i] :
( ( ( c_List_Olist_OCons @ SV479 @ SV983 @ SY3355 )
!= ( c_List_Olist_OCons @ SY3356 @ SY3357 @ SY3355 ) )
| ( SV983 = SY3357 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2353]) ).
thf(2877,plain,
! [SV984: $i,SV480: $i] :
( ( ! [SY3358: $i] :
( ( c_Message_Omsg_ONonce @ SV480 )
!= ( c_Message_Omsg_OMPair @ SV984 @ SY3358 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2354]) ).
thf(2878,plain,
! [SV985: $i,SV481: $i] :
( ( ! [SY3359: $i,SY3360: $i,SY3361: $i] :
( ( c_Event_Oevent_ONotes @ SV481 @ SV985 )
!= ( c_Event_Oevent_OSays @ SY3359 @ SY3360 @ SY3361 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2355]) ).
thf(2879,plain,
! [SV986: $i,SV482: $i] :
( ( ! [SY3362: $i] :
( ( c_Message_Omsg_OCrypt @ SV482 @ SV986 )
!= ( hAPP @ c_Message_Omsg_OKey @ SY3362 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2356]) ).
thf(2880,plain,
! [SV987: $i,SV483: $i] :
( ( ! [SY3363: $i,SY3364: $i] :
( ( hAPP @ ( c_Public_OpublicKey @ SV483 ) @ SV987 )
!= ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SY3363 ) @ SY3364 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2357]) ).
thf(2881,plain,
! [SV988: $i,SV484: $i] :
( ( ! [SY3365: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV484 @ SV988 @ ( tc_fun @ SY3365 @ tc_bool ) )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY3365 @ tc_bool ) ) )
| ( SV988
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY3365 @ tc_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2358]) ).
thf(2882,plain,
! [SV989: $i,SV485: $i] :
( ( ! [SY3366: $i] :
( ( c_Message_Omsg_OMPair @ SV485 @ SV989 )
!= ( c_Message_Omsg_ONonce @ SY3366 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2360]) ).
thf(2883,plain,
! [SV990: $i,SV486: $i] :
( ( ! [SY3367: $i] :
( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV486 @ tc_bool ) )
!= ( c_Set_Oinsert @ SV990 @ SY3367 @ SV486 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2361]) ).
thf(2884,plain,
! [SV991: $i,SV487: $i] :
( ( ! [SY3368: $i] :
( ( ( c_Message_Oanalz @ SV487 )
!= ( c_Message_Oanalz @ SV991 ) )
| ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SY3368 @ SV487 @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ ( c_Set_Oinsert @ SY3368 @ SV991 @ tc_Message_Omsg ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2362]) ).
thf(2885,plain,
! [SV992: $i,SV488: $i] :
( ( ! [SY3369: $i,SY3370: $i] :
( ( c_Event_Oevent_ONotes @ SV488 @ SV992 )
!= ( c_Event_Oevent_OGets @ SY3369 @ SY3370 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2363]) ).
thf(2886,plain,
! [SV993: $i,SV489: $i] :
( ( ! [SY3371: $i,SY3372: $i] :
( ( ( c_Message_Omsg_OMPair @ SV489 @ SV993 )
!= ( c_Message_Omsg_OMPair @ SY3371 @ SY3372 ) )
| ( SV993 = SY3372 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2364]) ).
thf(2887,plain,
! [SV994: $i,SV490: $i] :
( ( ! [SY3373: $i,SY3374: $i] :
( ( ( c_Event_Oevent_ONotes @ SV490 @ SV994 )
!= ( c_Event_Oevent_ONotes @ SY3373 @ SY3374 ) )
| ( SV994 = SY3374 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2365]) ).
thf(2888,plain,
! [SV995: $i,SV491: $i] :
( ( ! [SY3375: $i,SY3376: $i] :
( ( ( c_Message_Omsg_OCrypt @ SV491 @ SV995 )
!= ( c_Message_Omsg_OCrypt @ SY3375 @ SY3376 ) )
| ( SV995 = SY3376 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2366]) ).
thf(2889,plain,
! [SV492: $i] :
( ( ( c_Message_Oagent_OFriend @ SV492 )
= c_Message_Oagent_OServer )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2367]) ).
thf(2890,plain,
! [SV996: $i,SV493: $i] :
( ( ( ( hAPP @ c_Public_OshrK @ SV493 )
!= ( hAPP @ c_Public_OshrK @ SV996 ) )
| ( SV493 = SV996 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2368]) ).
thf(2891,plain,
! [SV997: $i,SV494: $i] :
( ( ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ SV494 ) )
!= ( hAPP @ c_Public_OshrK @ SV997 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2369]) ).
thf(2892,plain,
! [SV998: $i,SV495: $i] :
( ( ! [SY3377: $i,SY3378: $i] :
( ( ( c_Set_Oimage @ SV495 @ SV998 @ SY3377 @ SY3378 )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY3378 @ tc_bool ) ) )
| ( SV998
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY3377 @ tc_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2370]) ).
thf(2893,plain,
! [SV999: $i,SV496: $i] :
( ( ! [SY3379: $i] :
( ~ ( class_Lattices_Oboolean__algebra @ SV496 )
| ( ( c_HOL_Ouminus__class_Ouminus @ SV999 @ SV496 )
!= ( c_HOL_Ouminus__class_Ouminus @ SY3379 @ SV496 ) )
| ( SV999 = SY3379 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2371]) ).
thf(2894,plain,
! [SV497: $i] :
( ( ( c_Message_Oagent_OFriend @ SV497 )
= c_Message_Oagent_OSpy )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2372]) ).
thf(2895,plain,
! [SV1000: $i,SV498: $i] :
( ( ! [SY3380: $i] :
( ( hAPP @ ( c_Public_OpublicKey @ SV498 ) @ SV1000 )
!= ( hAPP @ c_Public_OshrK @ SY3380 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2373]) ).
thf(2896,plain,
! [SV1001: $i,SV499: $i] :
( ( ! [SY3381: $i,SY3382: $i,SY3383: $i,SY3384: $i] :
( ( ( c_Event_Oevent_OSays @ SV499 @ SV1001 @ SY3381 )
!= ( c_Event_Oevent_OSays @ SY3382 @ SY3383 @ SY3384 ) )
| ( SY3381 = SY3384 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2374]) ).
thf(2897,plain,
! [SV1002: $i,SV500: $i] :
( ( ! [SY3385: $i,SY3386: $i] :
( ( ( c_Message_Omsg_OCrypt @ SV500 @ SV1002 )
!= ( c_Message_Omsg_OCrypt @ SY3385 @ SY3386 ) )
| ( SV500 = SY3385 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2375]) ).
thf(2898,plain,
! [SV1003: $i,SV501: $i] :
( ( ! [SY3387: $i,SY3388: $i] :
( ( c_Event_Oevent_OGets @ SV501 @ SV1003 )
!= ( c_Event_Oevent_ONotes @ SY3387 @ SY3388 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2376]) ).
thf(2899,plain,
! [SV1004: $i,SV502: $i] :
( ( ( ( c_List_Oset @ SV502 @ SV1004 )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1004 @ tc_bool ) ) )
| ( SV502
= ( c_List_Olist_ONil @ SV1004 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2377]) ).
thf(2900,plain,
! [SV1005: $i,SV503: $i] :
( ( ! [SY3389: $i] :
( ( c_Message_Omsg_OCrypt @ SV503 @ SV1005 )
!= ( c_Message_Omsg_OAgent @ SY3389 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2378]) ).
thf(2901,plain,
! [SV1006: $i,SV504: $i] :
( ( ! [SY3390: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV504 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV1006 @ SY3390 @ SV504 )
!= SY3390 )
| ( c_lessequals @ SV1006 @ SY3390 @ SV504 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2379]) ).
thf(2902,plain,
! [SV1007: $i,SV505: $i] :
( ( ! [SY3391: $i,SY3392: $i,SY3393: $i] :
( ( c_Event_Oevent_OSays @ SV505 @ SV1007 @ SY3391 )
!= ( c_Event_Oevent_OGets @ SY3392 @ SY3393 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2380]) ).
thf(2903,plain,
! [SV1008: $i,SV506: $i] :
( ( ! [SY3394: $i] :
( ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV506 ) @ SV1008 ) )
!= ( hAPP @ c_Public_OshrK @ SY3394 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2381]) ).
thf(2904,plain,
! [SV1009: $i,SV507: $i] :
( ( ! [SY3395: $i,SY3396: $i,SY3397: $i] :
( ( c_Event_Oevent_OGets @ SV507 @ SV1009 )
!= ( c_Event_Oevent_OSays @ SY3395 @ SY3396 @ SY3397 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2382]) ).
thf(2905,plain,
! [SV1010: $i,SV508: $i] :
( ( ( ( hAPP @ c_Message_Omsg_OKey @ SV508 )
!= ( hAPP @ c_Message_Omsg_OKey @ SV1010 ) )
| ( SV508 = SV1010 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2383]) ).
thf(2906,plain,
! [SV1011: $i,SV509: $i] :
( ( ( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV509 @ tc_bool ) )
!= ( c_List_Oset @ SV1011 @ SV509 ) )
| ( SV1011
= ( c_List_Olist_ONil @ SV509 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2384]) ).
thf(2907,plain,
! [SV1012: $i,SV510: $i] :
( ( ! [SY3398: $i] :
( ( c_Message_Omsg_ONonce @ SV510 )
!= ( c_Message_Omsg_OCrypt @ SV1012 @ SY3398 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2385]) ).
thf(2908,plain,
! [SV1013: $i,SV511: $i] :
( ( ! [SY3399: $i] :
( ~ ( class_Lattices_Obounded__lattice @ SV511 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV1013 @ SY3399 @ SV511 )
!= ( c_Orderings_Obot__class_Obot @ SV511 ) )
| ( SV1013
= ( c_Orderings_Obot__class_Obot @ SV511 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2386]) ).
thf(2909,plain,
! [SV512: $i] :
( ( c_Message_Oagent_OServer
= ( c_Message_Oagent_OFriend @ SV512 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2387]) ).
thf(2910,plain,
! [SV1014: $i,SV513: $i] :
( ( ! [SY3400: $i,SY3401: $i] :
( ( ( c_Message_Oanalz @ SV513 )
!= ( c_Message_Oanalz @ SV1014 ) )
| ( ( c_Message_Oanalz @ SY3400 )
!= ( c_Message_Oanalz @ SY3401 ) )
| ( ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY3400 @ SV513 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY3401 @ SV1014 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2388]) ).
thf(2911,plain,
! [SV1015: $i,SV514: $i] :
( ( ! [SY3402: $i] :
( ( ( c_Set_Oinsert @ SV514 @ SV1015 @ SY3402 )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY3402 @ tc_bool ) ) )
| ( hBOOL @ ( c_in @ SV514 @ SV1015 @ SY3402 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2389]) ).
thf(2912,plain,
! [SV1016: $i,SV515: $i] :
( ( ! [SY3403: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV515 @ SV1016 @ ( tc_fun @ SY3403 @ tc_bool ) )
!= SV1016 )
| ( c_lessequals @ SV515 @ SV1016 @ ( tc_fun @ SY3403 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2390]) ).
thf(2913,plain,
! [SV1017: $i,SV516: $i] :
( ( ! [SY3404: $i] :
( ( c_Message_Omsg_OMPair @ SV516 @ SV1017 )
!= ( c_Message_Omsg_OAgent @ SY3404 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2391]) ).
thf(2914,plain,
! [SV1018: $i,SV517: $i] :
( ( ! [SY3405: $i] :
( ( c_Message_Omsg_OCrypt @ SV517 @ SV1018 )
!= ( c_Message_Omsg_ONonce @ SY3405 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2392]) ).
thf(2915,plain,
! [SV1019: $i,SV518: $i] :
( ( ! [SY3406: $i,SY3407: $i] :
( ( ( c_Set_Oinsert @ SV518 @ SV1019 @ SY3406 )
!= ( c_Set_Oinsert @ SV518 @ SY3407 @ SY3406 ) )
| ( hBOOL @ ( c_in @ SV518 @ SY3407 @ SY3406 ) )
| ( hBOOL @ ( c_in @ SV518 @ SV1019 @ SY3406 ) )
| ( SV1019 = SY3407 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2393]) ).
thf(2916,plain,
! [SV1020: $i,SV519: $i] :
( ( ! [SY3408: $i,SY3409: $i] :
( ( c_Message_Omsg_OCrypt @ SV519 @ SV1020 )
!= ( c_Message_Omsg_OMPair @ SY3408 @ SY3409 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2394]) ).
thf(2917,plain,
! [SV1021: $i,SV520: $i] :
( ( ! [SY3410: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV520 @ SV1021 @ ( tc_fun @ SY3410 @ tc_bool ) )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY3410 @ tc_bool ) ) )
| ( SV520
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY3410 @ tc_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2395]) ).
thf(2918,plain,
! [SV1022: $i,SV521: $i] :
( ( ! [SY3411: $i] :
( ( c_Message_Omsg_OAgent @ SV521 )
!= ( c_Message_Omsg_OMPair @ SV1022 @ SY3411 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2396]) ).
thf(2919,plain,
! [SV1023: $i,SV522: $i] :
( ( ! [SY3412: $i,SY3413: $i,SY3414: $i,SY3415: $i] :
( ( ( c_Event_Oevent_OSays @ SV522 @ SV1023 @ SY3412 )
!= ( c_Event_Oevent_OSays @ SY3413 @ SY3414 @ SY3415 ) )
| ( SV1023 = SY3414 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2397]) ).
thf(2920,plain,
! [SV1024: $i,SV523: $i] :
( ( ( ( c_Message_Omsg_OAgent @ SV523 )
!= ( c_Message_Omsg_OAgent @ SV1024 ) )
| ( SV523 = SV1024 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2398]) ).
thf(2921,plain,
! [SV1025: $i,SV524: $i] :
( ( ! [SY3416: $i] :
( ( hAPP @ c_Public_OshrK @ SV524 )
!= ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV1025 ) @ SY3416 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2399]) ).
thf(2922,plain,
! [SV1026: $i,SV525: $i] :
( ( ! [SY3417: $i] :
( ( hAPP @ c_Public_OshrK @ SV525 )
!= ( hAPP @ ( c_Public_OpublicKey @ SV1026 ) @ SY3417 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2400]) ).
thf(2923,plain,
! [SV1027: $i,SV526: $i] :
( ( ! [SY3418: $i,SY3419: $i] :
( ( ( hAPP @ ( c_Public_OpublicKey @ SV526 ) @ SV1027 )
!= ( hAPP @ ( c_Public_OpublicKey @ SY3418 ) @ SY3419 ) )
| ( SV1027 = SY3419 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2401]) ).
thf(2924,plain,
! [SV1028: $i,SV527: $i] :
( ( ! [SY3420: $i] :
( ( c_List_Olist_OCons @ SV527 @ SV1028 @ SY3420 )
!= ( c_List_Olist_ONil @ SY3420 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2402]) ).
thf(2925,plain,
! [SV1029: $i,SV528: $i] :
( ( ! [SY3421: $i] :
( ~ ( class_OrderedGroup_Ogroup__add @ SV528 )
| ( ( c_HOL_Ouminus__class_Ouminus @ SV1029 @ SV528 )
!= ( c_HOL_Ouminus__class_Ouminus @ SY3421 @ SV528 ) )
| ( SV1029 = SY3421 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2403]) ).
thf(2926,plain,
! [SV1030: $i,SV529: $i] :
( ( ! [SY3422: $i,SY3423: $i] :
( ( ( c_Event_Oevent_ONotes @ SV529 @ SV1030 )
!= ( c_Event_Oevent_ONotes @ SY3422 @ SY3423 ) )
| ( SV529 = SY3422 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2404]) ).
thf(2927,plain,
! [SV1031: $i,SV530: $i] :
( ( ! [SY3424: $i,SY3425: $i,SY3426: $i] :
( ( ( c_List_Olist_OCons @ SV530 @ SV1031 @ SY3424 )
!= ( c_List_Olist_OCons @ SY3425 @ SY3426 @ SY3424 ) )
| ( SV530 = SY3425 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2405]) ).
thf(2928,plain,
! [SV1032: $i,SV531: $i] :
( ( ! [SY3427: $i,SY3428: $i,SY3429: $i] :
( ( c_Event_Oevent_OSays @ SV531 @ SV1032 @ SY3427 )
!= ( c_Event_Oevent_ONotes @ SY3428 @ SY3429 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2406]) ).
thf(2929,plain,
! [SV1033: $i,SV532: $i] :
( ( ! [SY3430: $i] :
( ~ ( class_Lattices_Obounded__lattice @ SV532 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV1033 @ SY3430 @ SV532 )
!= ( c_Orderings_Obot__class_Obot @ SV532 ) )
| ( SY3430
= ( c_Orderings_Obot__class_Obot @ SV532 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2407]) ).
thf(2930,plain,
! [SV1034: $i,SV533: $i] :
( ( ( ( hAPP @ c_Message_OinvKey @ SV533 )
!= ( hAPP @ c_Message_OinvKey @ SV1034 ) )
| ( SV533 = SV1034 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2409]) ).
thf(2931,plain,
! [SV1035: $i,SV534: $i] :
( ( ( ( c_Message_Oagent_OFriend @ SV534 )
!= ( c_Message_Oagent_OFriend @ SV1035 ) )
| ( SV534 = SV1035 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2410]) ).
thf(2932,plain,
! [SV1036: $i,SV535: $i] :
( ( ! [SY3431: $i,SY3432: $i,SY3433: $i] :
( ( ( c_Set_Oinsert @ SV535 @ ( c_Set_Oinsert @ SV1036 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY3431 @ tc_bool ) ) @ SY3431 ) @ SY3431 )
!= ( c_Set_Oinsert @ SY3432 @ ( c_Set_Oinsert @ SY3433 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY3431 @ tc_bool ) ) @ SY3431 ) @ SY3431 ) )
| ( SV535 = SY3433 )
| ( SV1036 = SY3433 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2411]) ).
thf(2933,plain,
! [SV536: $i] :
( ( ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SV536 @ tc_bool ) )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV536 @ tc_bool ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2413]) ).
thf(2934,plain,
! [SV1037: $i,SV537: $i] :
( ( ! [SY3434: $i,SY3435: $i,SY3436: $i] :
( ( ( c_Set_Oinsert @ SV537 @ ( c_Set_Oinsert @ SV1037 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY3434 @ tc_bool ) ) @ SY3434 ) @ SY3434 )
!= ( c_Set_Oinsert @ SY3435 @ ( c_Set_Oinsert @ SY3436 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY3434 @ tc_bool ) ) @ SY3434 ) @ SY3434 ) )
| ( SV1037 = SY3435 )
| ( SV537 = SY3435 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2414]) ).
thf(2935,plain,
! [SV1038: $i,SV538: $i] :
( ( ! [SY3437: $i] :
( ( hAPP @ c_Message_Omsg_OKey @ SV538 )
!= ( c_Message_Omsg_OMPair @ SV1038 @ SY3437 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2415]) ).
thf(2936,plain,
! [SV1039: $i,SV539: $i] :
( ( ! [SY3438: $i,SY3439: $i,SY3440: $i,SY3441: $i] :
( ( ( c_Event_Oevent_OSays @ SV539 @ SV1039 @ SY3438 )
!= ( c_Event_Oevent_OSays @ SY3439 @ SY3440 @ SY3441 ) )
| ( SV539 = SY3439 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2416]) ).
thf(2937,plain,
! [SV1040: $i,SV540: $i] :
( ( ! [SY3442: $i] :
( ( c_Set_Oinsert @ SV540 @ SV1040 @ SY3442 )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY3442 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2417]) ).
thf(2938,plain,
! [SV1041: $i,SV541: $i] :
( ( ( ( c_Message_Omsg_ONonce @ SV541 )
!= ( c_Message_Omsg_ONonce @ SV1041 ) )
| ( SV541 = SV1041 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2418]) ).
thf(2939,plain,
! [SV1042: $i,SV542: $i] :
( ( ! [SY3443: $i] :
( ( ( c_Set_Oinsert @ SV542 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1042 @ tc_bool ) ) @ SV1042 )
!= ( c_Set_Oinsert @ SY3443 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1042 @ tc_bool ) ) @ SV1042 ) )
| ( SV542 = SY3443 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2419]) ).
thf(2940,plain,
! [SV1043: $i,SV543: $i] :
( ( ! [SY3444: $i,SY3445: $i] :
( ( ( c_Event_Oevent_OGets @ SV543 @ SV1043 )
!= ( c_Event_Oevent_OGets @ SY3444 @ SY3445 ) )
| ( SV1043 = SY3445 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2421]) ).
thf(2941,plain,
! [SV1044: $i,SV544: $i] :
( ( ! [SY3446: $i,SY3447: $i,SY3448: $i] :
( ( ( c_Set_Oinsert @ SV544 @ ( c_Set_Oinsert @ SV1044 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY3446 @ tc_bool ) ) @ SY3446 ) @ SY3446 )
!= ( c_Set_Oinsert @ SY3447 @ ( c_Set_Oinsert @ SY3448 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY3446 @ tc_bool ) ) @ SY3446 ) @ SY3446 ) )
| ( SV1044 = SY3447 )
| ( SV1044 = SY3448 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2422]) ).
thf(2942,plain,
! [SV1045: $i,SV545: $i] :
( ( ! [SY3449: $i] :
( ( c_Message_Omsg_OMPair @ SV545 @ SV1045 )
!= ( hAPP @ c_Message_Omsg_OKey @ SY3449 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2423]) ).
thf(2943,plain,
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ v_K @ ( c_Message_Omsg_ONonce @ v_NB ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( 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_evs2 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( 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_evs2 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2424]) ).
thf(2944,plain,
! [SV1046: $i,SV546: $i,SV1: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV1 ) @ SV546 ) ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV1 ) @ SV1046 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV546 @ SV1046 @ tc_Message_Oagent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2425]) ).
thf(2945,plain,
! [SV1047: $i,SV547: $i,SV2: $i] :
( ( ! [SY3450: $i] :
( ( hBOOL @ ( c_in @ SV2 @ SV547 @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV1047 ) @ SV2 ) ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SY3450 ) @ SV547 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2426]) ).
thf(2946,plain,
! [SV1048: $i,SV548: $i,SV3: $i] :
( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ SV3 ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV548 ) @ SV1048 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2427]) ).
thf(2947,plain,
! [SV1049: $i,SV549: $i,SV4: $i] :
( ( ! [SY3451: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV4 ) @ SV549 ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV1049 ) @ SY3451 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2428]) ).
thf(2948,plain,
! [SV1050: $i,SV550: $i,SV5: $i] :
( ( ! [SY3452: $i] :
( ( SV5 = SV550 )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV5 ) @ SV1050 ) ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV550 ) @ SY3452 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2429]) ).
thf(2949,plain,
! [SV551: $i,SV6: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ SV6 ) @ ( c_Set_Oimage @ c_Message_OinvKey @ SV551 @ tc_nat @ tc_nat ) @ tc_nat ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV6 @ SV551 @ tc_nat ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2430]) ).
thf(2950,plain,
! [SV552: $i,SV7: $i] :
( ( ( hBOOL @ ( c_in @ SV7 @ SV552 @ tc_nat ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ SV7 ) @ ( c_Set_Oimage @ c_Message_OinvKey @ SV552 @ tc_nat @ tc_nat ) @ tc_nat ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2431]) ).
thf(2951,plain,
! [SV1051: $i,SV553: $i,SV8: $i] :
( ( ~ ( hBOOL @ ( c_in @ SV8 @ SV553 @ SV1051 ) )
| ~ ( hBOOL @ ( c_in @ SV8 @ ( c_HOL_Ouminus__class_Ouminus @ SV553 @ ( tc_fun @ SV1051 @ tc_bool ) ) @ SV1051 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2432]) ).
thf(2952,plain,
! [SV1052: $i,SV554: $i,SV9: $i] :
( ( ( hBOOL @ ( c_in @ SV9 @ ( c_HOL_Ouminus__class_Ouminus @ SV554 @ ( tc_fun @ SV1052 @ tc_bool ) ) @ SV1052 ) )
| ( hBOOL @ ( c_in @ SV9 @ SV554 @ SV1052 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2433]) ).
thf(2953,plain,
! [SV1053: $i,SV555: $i,SV10: $i] :
( ( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV10 )
| ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV555 @ SV10 ) @ SV1053 @ SV10 )
| ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV1053 @ SV10 ) @ SV555 @ SV10 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2434]) ).
thf(2954,plain,
! [SV1054: $i,SV556: $i,SV11: $i] :
( ( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV11 )
| ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV556 @ SV11 ) @ SV1054 @ SV11 )
| ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV1054 @ SV11 ) @ SV556 @ SV11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2435]) ).
thf(2955,plain,
! [SV1055: $i,SV557: $i,SV12: $i] :
( ( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV12 )
| ( c_lessequals @ SV557 @ ( c_HOL_Ouminus__class_Ouminus @ SV1055 @ SV12 ) @ SV12 )
| ~ ( c_lessequals @ SV1055 @ ( c_HOL_Ouminus__class_Ouminus @ SV557 @ SV12 ) @ SV12 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2436]) ).
thf(2956,plain,
! [SV1056: $i,SV558: $i,SV13: $i] :
( ( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV13 )
| ( c_lessequals @ SV558 @ ( c_HOL_Ouminus__class_Ouminus @ SV1056 @ SV13 ) @ SV13 )
| ~ ( c_lessequals @ SV1056 @ ( c_HOL_Ouminus__class_Ouminus @ SV558 @ SV13 ) @ SV13 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2437]) ).
thf(2957,plain,
! [SV559: $i,SV14: $i] :
( ( ( ~ ( class_OrderedGroup_Ogroup__add @ SV14 ) )
= $true )
| ( ( ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ SV559 @ SV14 ) @ SV14 )
= SV559 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2438]) ).
thf(2958,plain,
! [SV560: $i,SV15: $i] :
( ( ( ~ ( class_OrderedGroup_Ogroup__add @ SV15 ) )
= $true )
| ( ( SV560
= ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ SV560 @ SV15 ) @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2439]) ).
thf(2959,plain,
! [SV561: $i,SV16: $i] :
( ( ( ~ ( class_OrderedGroup_Ogroup__add @ SV16 ) )
= $true )
| ( ( SV561
= ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ SV561 @ SV16 ) @ SV16 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2440]) ).
thf(2960,plain,
! [SV562: $i,SV17: $i] :
( ( ( ~ ( class_Lattices_Oboolean__algebra @ SV17 ) )
= $true )
| ( ( ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ SV562 @ SV17 ) @ SV17 )
= SV562 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2441]) ).
thf(2961,plain,
! [SV563: $i,SV18: $i] :
( ( ( ~ ( class_OrderedGroup_Ogroup__add @ SV18 ) )
= $true )
| ( ( ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ SV563 @ SV18 ) @ SV18 )
= SV563 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2442]) ).
thf(2962,plain,
! [SV565: $i,SV20: $i] :
( ( ( ~ ( class_Lattices_Oboolean__algebra @ SV20 ) )
= $true )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV565 @ ( c_HOL_Ouminus__class_Ouminus @ SV565 @ SV20 ) @ SV20 )
= ( c_Orderings_Otop__class_Otop @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2444]) ).
thf(2963,plain,
! [SV566: $i,SV21: $i] :
( ( ( ~ ( class_Lattices_Oboolean__algebra @ SV21 ) )
= $true )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_HOL_Ouminus__class_Ouminus @ SV566 @ SV21 ) @ SV566 @ SV21 )
= ( c_Orderings_Otop__class_Otop @ SV21 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2445]) ).
thf(2964,plain,
! [SV569: $i,SV24: $i] :
( ( ( hBOOL @ ( hAPP @ SV24 @ SV569 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV24 @ c_Public_Okeymode_OEncryption ) )
| ~ ( hBOOL @ ( hAPP @ SV24 @ c_Public_Okeymode_OSignature ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2448]) ).
thf(2965,plain,
! [SV1057: $i,SV570: $i,SV25: $i] :
( ( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV25 )
| ( c_lessequals @ SV570 @ SV1057 @ SV25 )
| ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV1057 @ SV25 ) @ ( c_HOL_Ouminus__class_Ouminus @ SV570 @ SV25 ) @ SV25 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2449]) ).
thf(2966,plain,
! [SV1058: $i,SV571: $i,SV26: $i] :
( ( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV26 )
| ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV571 @ SV26 ) @ ( c_HOL_Ouminus__class_Ouminus @ SV1058 @ SV26 ) @ SV26 )
| ~ ( c_lessequals @ SV1058 @ SV571 @ SV26 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2450]) ).
thf(2967,plain,
! [SV1059: $i,SV572: $i,SV27: $i] :
( ( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV27 @ ( tc_fun @ SV572 @ tc_bool ) ) @ ( c_HOL_Ouminus__class_Ouminus @ SV1059 @ ( tc_fun @ SV572 @ tc_bool ) ) @ ( tc_fun @ SV572 @ tc_bool ) )
| ~ ( c_lessequals @ SV1059 @ SV27 @ ( tc_fun @ SV572 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2451]) ).
thf(2968,plain,
! [SV1060: $i,SV573: $i,SV28: $i] :
( ( ( c_lessequals @ SV28 @ SV573 @ ( tc_fun @ SV1060 @ tc_bool ) )
| ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV573 @ ( tc_fun @ SV1060 @ tc_bool ) ) @ ( c_HOL_Ouminus__class_Ouminus @ SV28 @ ( tc_fun @ SV1060 @ tc_bool ) ) @ ( tc_fun @ SV1060 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2452]) ).
thf(2969,plain,
! [SV1061: $i,SV574: $i,SV29: $i] :
( ( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV29 @ ( tc_fun @ SV574 @ tc_bool ) ) @ ( c_HOL_Ouminus__class_Ouminus @ SV1061 @ ( tc_fun @ SV574 @ tc_bool ) ) @ ( tc_fun @ SV574 @ tc_bool ) )
| ~ ( c_lessequals @ SV1061 @ SV29 @ ( tc_fun @ SV574 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2453]) ).
thf(2970,plain,
! [SV31: $i] :
( ( ( class_Lattices_Oboolean__algebra @ SV31 )
= $false )
| ( ( ( c_HOL_Ouminus__class_Ouminus @ ( c_Orderings_Otop__class_Otop @ SV31 ) @ SV31 )
= ( c_Orderings_Obot__class_Obot @ SV31 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2454]) ).
thf(2971,plain,
! [SV575: $i,SV33: $i] :
( ( ( ~ ( class_HOL_Ouminus @ SV33 ) )
= $true )
| ( ( ( hAPP @ ( c_HOL_Ouminus__class_Ouminus @ SV575 @ ( tc_fun @ t_a @ SV33 ) ) @ v_x )
= ( c_HOL_Ouminus__class_Ouminus @ ( hAPP @ SV575 @ v_x ) @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2456]) ).
thf(2972,plain,
! [SV34: $i] :
( ( ( class_Lattices_Oboolean__algebra @ SV34 )
= $false )
| ( ( ( c_HOL_Ouminus__class_Ouminus @ ( c_Orderings_Obot__class_Obot @ SV34 ) @ SV34 )
= ( c_Orderings_Otop__class_Otop @ SV34 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2457]) ).
thf(2973,plain,
! [SV576: $i,SV36: $i] :
( ( ( SV36
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV576 @ tc_bool ) ) )
= $true )
| ( ( ~ ( c_lessequals @ SV36 @ ( c_HOL_Ouminus__class_Ouminus @ SV36 @ ( tc_fun @ SV576 @ tc_bool ) ) @ ( tc_fun @ SV576 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2458]) ).
thf(2974,plain,
! [SV577: $i,SV37: $i] :
( ( ( c_lessequals @ ( c_Message_OkeysFor @ SV37 ) @ ( c_Message_OkeysFor @ SV577 ) @ ( tc_fun @ tc_nat @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV37 @ SV577 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2459]) ).
thf(2975,plain,
! [SV578: $i,SV40: $i] :
( ( ( ~ ( class_Orderings_Obot @ SV40 ) )
= $true )
| ( ( c_lessequals @ ( c_Orderings_Obot__class_Obot @ SV40 ) @ SV578 @ SV40 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2461]) ).
thf(2976,plain,
! [SV580: $i,SV42: $i] :
( ( ( c_lessequals @ ( c_Message_Osynth @ SV42 ) @ ( c_Message_Osynth @ SV580 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV42 @ SV580 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2463]) ).
thf(2977,plain,
! [SV1062: $i,SV581: $i,SV43: $i] :
( ( ( hBOOL @ ( c_in @ SV43 @ ( c_Message_Osynth @ SV581 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1062 @ ( c_Message_Osynth @ SV581 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV43 @ ( c_Message_Osynth @ ( c_Set_Oinsert @ SV1062 @ SV581 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2464]) ).
thf(2978,plain,
! [SV1063: $i,SV582: $i,SV44: $i] :
( ( ! [SY3453: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ SV44 @ ( c_Set_Oinsert @ SV582 @ SV1063 @ SY3453 ) @ ( tc_fun @ SY3453 @ tc_bool ) )
= ( c_Set_Oinsert @ SV582 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV44 @ SV1063 @ ( tc_fun @ SY3453 @ tc_bool ) ) @ SY3453 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2465]) ).
thf(2979,plain,
! [SV1064: $i,SV583: $i,SV45: $i] :
( ( ! [SY3454: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oinsert @ SV45 @ SV583 @ SV1064 ) @ SY3454 @ ( tc_fun @ SV1064 @ tc_bool ) )
= ( c_Set_Oinsert @ SV45 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV583 @ SY3454 @ ( tc_fun @ SV1064 @ tc_bool ) ) @ SV1064 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2466]) ).
thf(2980,plain,
! [SV46: $i] :
( ( ( class_Orderings_Obot @ SV46 )
= $false )
| ( ( ( hAPP @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ t_a @ SV46 ) ) @ v_x )
= ( c_Orderings_Obot__class_Obot @ SV46 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2467]) ).
thf(2981,plain,
! [SV1065: $i,SV584: $i,SV47: $i] :
( ( ( SV47 = SV584 )
| ~ ( hBOOL @ ( c_in @ SV47 @ ( c_Set_Oinsert @ SV584 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1065 @ tc_bool ) ) @ SV1065 ) @ SV1065 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2468]) ).
thf(2982,plain,
! [SV1066: $i,SV585: $i,SV49: $i] :
( ( ~ ( class_Lattices_Olattice @ SV49 )
| ( ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV585 @ SV1066 @ ( tc_fun @ t_a @ SV49 ) ) @ v_x )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( hAPP @ SV585 @ v_x ) @ ( hAPP @ SV1066 @ v_x ) @ SV49 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2469]) ).
thf(2983,plain,
! [SV587: $i,SV51: $i] :
( ( ( ~ ( class_Lattices_Oupper__semilattice @ SV51 ) )
= $true )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV587 @ SV587 @ SV51 )
= SV587 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2471]) ).
thf(2984,plain,
! [SV588: $i,SV53: $i] :
( ( ( c_lessequals @ ( c_Message_Osynth @ SV53 ) @ ( c_Message_Osynth @ SV588 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV53 @ ( c_Message_Osynth @ SV588 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2472]) ).
thf(2985,plain,
! [SV589: $i,SV54: $i] :
( ( ( c_lessequals @ SV54 @ ( c_Message_Osynth @ SV589 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ ( c_Message_Osynth @ SV54 ) @ ( c_Message_Osynth @ SV589 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2473]) ).
thf(2986,plain,
! [SV1067: $i,SV590: $i,SV55: $i] :
( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ SV55 @ ( c_Set_Oinsert @ SV590 @ SV1067 @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV55 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV590 @ ( 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 @ SV1067 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2474]) ).
thf(2987,plain,
! [SV1068: $i,SV591: $i,SV56: $i] :
( ( ( c_Set_Oinsert @ SV56 @ ( c_Set_Oinsert @ SV591 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1068 @ tc_bool ) ) @ SV1068 ) @ SV1068 )
= ( c_Set_Oinsert @ SV591 @ ( c_Set_Oinsert @ SV56 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1068 @ tc_bool ) ) @ SV1068 ) @ SV1068 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2475]) ).
thf(2988,plain,
! [SV1069: $i,SV592: $i,SV57: $i] :
( ( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV57 @ SV592 @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1069 ) ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1069 @ SV592 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV57 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1069 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2476]) ).
thf(2989,plain,
! [SV1070: $i,SV593: $i,SV58: $i] :
( ( ( c_Set_Oimage @ SV58 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV593 @ tc_bool ) ) @ SV593 @ SV1070 )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1070 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2477]) ).
thf(2990,plain,
! [SV59: $i] :
( ( ( class_Orderings_Olinorder @ SV59 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_ONil @ SV59 ) @ SV59 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2478]) ).
thf(2991,plain,
! [SV1071: $i,SV594: $i,SV60: $i] :
( ( ! [SY3455: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ SV60 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV594 @ SV1071 @ ( tc_fun @ SY3455 @ tc_bool ) ) @ ( tc_fun @ SY3455 @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV594 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV60 @ SV1071 @ ( tc_fun @ SY3455 @ tc_bool ) ) @ ( tc_fun @ SY3455 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2479]) ).
thf(2992,plain,
! [SV1072: $i,SV595: $i,SV61: $i] :
( ( ! [SY3456: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV61 @ SV595 @ ( tc_fun @ SV1072 @ tc_bool ) ) @ SY3456 @ ( tc_fun @ SV1072 @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV61 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV595 @ SY3456 @ ( tc_fun @ SV1072 @ tc_bool ) ) @ ( tc_fun @ SV1072 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2480]) ).
thf(2993,plain,
! [SV1073: $i,SV596: $i,SV62: $i] :
( ( ! [SY3457: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV62 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV596 @ SV1073 @ SV62 ) @ SY3457 @ SV62 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV596 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1073 @ SY3457 @ SV62 ) @ SV62 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2481]) ).
thf(2994,plain,
! [SV1074: $i,SV597: $i,SV63: $i] :
( ( ! [SY3458: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV63 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV597 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1074 @ SY3458 @ SV63 ) @ SV63 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV1074 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV597 @ SY3458 @ SV63 ) @ SV63 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2482]) ).
thf(2995,plain,
! [SV1075: $i,SV598: $i,SV64: $i] :
( ( ! [SY3459: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ SV64 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV598 @ SV1075 @ ( tc_fun @ SY3459 @ tc_bool ) ) @ ( tc_fun @ SY3459 @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV64 @ SV598 @ ( tc_fun @ SY3459 @ tc_bool ) ) @ SV1075 @ ( tc_fun @ SY3459 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2483]) ).
thf(2996,plain,
! [SV1076: $i,SV599: $i,SV65: $i] :
( ( ! [SY3460: $i] :
( ~ ( class_Lattices_Olattice @ SV65 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV599 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1076 @ SY3460 @ SV65 ) @ SV65 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV1076 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV599 @ SY3460 @ SV65 ) @ SV65 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2484]) ).
thf(2997,plain,
! [SV1077: $i,SV600: $i,SV66: $i] :
( ( ! [SY3461: $i] :
( ~ ( class_Lattices_Olattice @ SV66 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV600 @ SV1077 @ SV66 ) @ SY3461 @ SV66 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV600 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1077 @ SY3461 @ SV66 ) @ SV66 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2485]) ).
thf(2998,plain,
! [SV1078: $i,SV601: $i,SV67: $i] :
( ( ! [SY3462: $i] :
( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV67 @ SV601 @ ( tc_fun @ SV1078 @ tc_bool ) ) @ SY3462 @ ( tc_fun @ SV1078 @ tc_bool ) )
| ~ ( c_lessequals @ SV601 @ SY3462 @ ( tc_fun @ SV1078 @ tc_bool ) )
| ~ ( c_lessequals @ SV67 @ SY3462 @ ( tc_fun @ SV1078 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2486]) ).
thf(2999,plain,
! [SV1079: $i,SV602: $i,SV68: $i] :
( ( c_lessequals @ SV68 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV602 @ SV68 @ ( tc_fun @ SV1079 @ tc_bool ) ) @ ( tc_fun @ SV1079 @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2487]) ).
thf(3000,plain,
! [SV1080: $i,SV603: $i,SV69: $i] :
( ( c_lessequals @ SV69 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV69 @ SV603 @ ( tc_fun @ SV1080 @ tc_bool ) ) @ ( tc_fun @ SV1080 @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2488]) ).
thf(3001,plain,
! [SV1081: $i,SV604: $i,SV70: $i] :
( ( ! [SY3463: $i] :
( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV70 @ SV604 @ ( tc_fun @ SV1081 @ tc_bool ) ) @ SY3463 @ ( tc_fun @ SV1081 @ tc_bool ) )
| ~ ( c_lessequals @ SV604 @ SY3463 @ ( tc_fun @ SV1081 @ tc_bool ) )
| ~ ( c_lessequals @ SV70 @ SY3463 @ ( tc_fun @ SV1081 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2489]) ).
thf(3002,plain,
! [SV1082: $i,SV605: $i,SV71: $i] :
( ( ! [SY3464: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV71 )
| ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV605 @ SV1082 @ SV71 ) @ SY3464 @ SV71 )
| ~ ( c_lessequals @ SV1082 @ SY3464 @ SV71 )
| ~ ( c_lessequals @ SV605 @ SY3464 @ SV71 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2490]) ).
thf(3003,plain,
! [SV1083: $i,SV606: $i,SV72: $i] :
( ( ~ ( class_Lattices_Oupper__semilattice @ SV72 )
| ( c_lessequals @ SV606 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV606 @ SV1083 @ SV72 ) @ SV72 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2491]) ).
thf(3004,plain,
! [SV1084: $i,SV607: $i,SV73: $i] :
( ( ~ ( class_Lattices_Oupper__semilattice @ SV73 )
| ( c_lessequals @ SV607 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1084 @ SV607 @ SV73 ) @ SV73 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2492]) ).
thf(3005,plain,
! [SV1085: $i,SV608: $i,SV74: $i] :
( ( ! [SY3465: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV74 )
| ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV608 @ SV1085 @ SV74 ) @ SY3465 @ SV74 )
| ~ ( c_lessequals @ SV1085 @ SY3465 @ SV74 )
| ~ ( c_lessequals @ SV608 @ SY3465 @ SV74 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2493]) ).
thf(3006,plain,
! [SV1086: $i,SV609: $i,SV75: $i] :
( ( ! [SY3466: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV75 )
| ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV609 @ SV1086 @ SV75 ) @ SY3466 @ SV75 )
| ~ ( c_lessequals @ SV1086 @ SY3466 @ SV75 )
| ~ ( c_lessequals @ SV609 @ SY3466 @ SV75 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2494]) ).
thf(3007,plain,
! [SV1087: $i,SV610: $i,SV76: $i] :
( ( ~ ( class_Lattices_Olattice @ SV76 )
| ( c_lessequals @ SV610 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1087 @ SV610 @ SV76 ) @ SV76 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2495]) ).
thf(3008,plain,
! [SV1088: $i,SV611: $i,SV77: $i] :
( ( ~ ( class_Lattices_Olattice @ SV77 )
| ( c_lessequals @ SV611 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV611 @ SV1088 @ SV77 ) @ SV77 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2496]) ).
thf(3009,plain,
! [SV1089: $i,SV612: $i,SV78: $i] :
( ( ! [SY3467: $i] :
( ~ ( class_Orderings_Olinorder @ SV78 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV612 @ SV1089 @ SV78 ) @ SV78 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SY3467 @ ( c_List_Olist_OCons @ SV612 @ SV1089 @ SV78 ) @ SV78 ) @ SV78 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2497]) ).
thf(3010,plain,
! [SV1090: $i,SV613: $i,SV79: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV79 )
| ( c_List_Olinorder__class_Osorted @ SV613 @ SV79 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1090 @ SV613 @ SV79 ) @ SV79 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2498]) ).
thf(3011,plain,
! [SV1091: $i,SV614: $i,SV80: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV80 @ SV614 @ ( tc_fun @ SV1091 @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV614 @ SV80 @ ( tc_fun @ SV1091 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2499]) ).
thf(3012,plain,
! [SV1092: $i,SV615: $i,SV81: $i] :
( ( ~ ( class_Lattices_Oupper__semilattice @ SV81 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV615 @ SV1092 @ SV81 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV1092 @ SV615 @ SV81 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2500]) ).
thf(3013,plain,
! [SV1093: $i,SV616: $i,SV82: $i] :
( ( ~ ( class_Lattices_Olattice @ SV82 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV616 @ SV1093 @ SV82 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV1093 @ SV616 @ SV82 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2501]) ).
thf(3014,plain,
! [SV1094: $i,SV617: $i,SV83: $i] :
( ( ( c_Set_Oinsert @ SV83 @ SV617 @ SV1094 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oinsert @ SV83 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1094 @ tc_bool ) ) @ SV1094 ) @ SV617 @ ( tc_fun @ SV1094 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2502]) ).
thf(3015,plain,
! [SV1095: $i,SV618: $i,SV84: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV84 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV84 @ SV618 @ ( tc_fun @ SV1095 @ tc_bool ) ) @ ( tc_fun @ SV1095 @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV84 @ SV618 @ ( tc_fun @ SV1095 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2503]) ).
thf(3016,plain,
! [SV1096: $i,SV619: $i,SV85: $i] :
( ( ~ ( class_Lattices_Oupper__semilattice @ SV85 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV619 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV619 @ SV1096 @ SV85 ) @ SV85 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV619 @ SV1096 @ SV85 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2504]) ).
thf(3017,plain,
! [SV1097: $i,SV620: $i,SV86: $i] :
( ( ~ ( class_Lattices_Olattice @ SV86 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV620 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV620 @ SV1097 @ SV86 ) @ SV86 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV620 @ SV1097 @ SV86 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2505]) ).
thf(3018,plain,
! [SV1098: $i,SV621: $i,SV89: $i] :
( ( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV89 @ tc_bool ) )
= ( c_Set_Oimage @ SV621 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1098 @ tc_bool ) ) @ SV1098 @ SV89 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2506]) ).
thf(3019,plain,
! [SV622: $i,SV90: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV90 ) )
= $true )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV622 @ ( c_List_Olist_ONil @ SV90 ) @ SV90 ) @ SV90 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2507]) ).
thf(3020,plain,
! [SV1099: $i,SV623: $i,SV91: $i] :
( ( ( hBOOL @ ( c_in @ SV91 @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV623 ) ) @ ( c_Message_Oparts @ SV623 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1099 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV623 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV91 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV1099 @ ( 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)],[2508]) ).
thf(3021,plain,
! [SV1100: $i,SV624: $i,SV92: $i] :
( ( ! [SY3468: $i] :
( ( hBOOL @ ( c_in @ SV92 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV624 @ SV1100 @ ( tc_fun @ SY3468 @ tc_bool ) ) @ SY3468 ) )
| ~ ( hBOOL @ ( c_in @ SV92 @ SV624 @ SY3468 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2509]) ).
thf(3022,plain,
! [SV1101: $i,SV625: $i,SV93: $i] :
( ( ! [SY3469: $i] :
( ( hBOOL @ ( c_in @ SV93 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV625 @ SV1101 @ ( tc_fun @ SY3469 @ tc_bool ) ) @ SY3469 ) )
| ~ ( hBOOL @ ( c_in @ SV93 @ SV1101 @ SY3469 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2510]) ).
thf(3023,plain,
! [SV626: $i,SV94: $i] :
( ( hBOOL @ ( c_in @ SV94 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV626 @ tc_bool ) ) @ SV626 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2511]) ).
thf(3024,plain,
! [SV1102: $i,SV627: $i,SV95: $i] :
( ( ( hBOOL @ ( hAPP @ SV95 @ SV627 ) )
| ~ ( hBOOL @ ( c_in @ SV627 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1102 @ tc_bool ) ) @ SV1102 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2512]) ).
thf(3025,plain,
! [SV628: $i,SV96: $i] :
( ( hBOOL @ ( c_in @ SV96 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV628 @ tc_bool ) ) @ SV628 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2513]) ).
thf(3026,plain,
! [SV629: $i,SV97: $i] :
( ( hBOOL @ ( c_in @ SV97 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV629 @ tc_bool ) ) @ SV629 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2514]) ).
thf(3027,plain,
! [SV1103: $i,SV630: $i,SV98: $i] :
( ( ! [SY3470: $i] :
( ( hBOOL @ ( c_in @ SV98 @ SV630 @ SV1103 ) )
| ( hBOOL @ ( c_in @ SV98 @ SY3470 @ SV1103 ) )
| ~ ( hBOOL @ ( c_in @ SV98 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY3470 @ SV630 @ ( tc_fun @ SV1103 @ tc_bool ) ) @ SV1103 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2515]) ).
thf(3028,plain,
! [SV1104: $i,SV631: $i,SV99: $i] :
( ( ~ ( hBOOL @ ( hAPP @ SV99 @ SV631 ) )
| ~ ( hBOOL @ ( c_in @ SV631 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1104 @ tc_bool ) ) @ SV1104 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2516]) ).
thf(3029,plain,
! [SV632: $i,SV100: $i] :
( ( ( hBOOL @ ( c_in @ SV100 @ ( c_Message_Osynth @ SV632 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV100 @ SV632 @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2517]) ).
thf(3030,plain,
! [SV633: $i,SV101: $i] :
( ( ( hBOOL @ ( c_in @ SV101 @ ( c_Message_Osynth @ SV633 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV101 @ ( c_Message_Osynth @ ( c_Message_Osynth @ SV633 ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2518]) ).
thf(3031,plain,
! [SV1105: $i,SV634: $i,SV102: $i] :
( ( ( hBOOL @ ( c_in @ SV102 @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV634 ) ) @ ( c_Message_Oparts @ SV634 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1105 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV634 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV102 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV1105 @ SV634 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2519]) ).
thf(3032,plain,
! [SV1106: $i,SV638: $i,SV107: $i] :
( ( ! [SY3471: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV107 ) ) @ ( c_Message_Oparts @ SV638 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV107 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1106 @ SV638 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SY3471 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV638 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV107 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SY3471 @ SV1106 @ tc_Message_Omsg ) ) ) @ tc_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2523]) ).
thf(3033,plain,
! [SV639: $i,SV108: $i] :
( ( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV108 @ SV639 @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV639 ) ) @ ( c_Message_Oparts @ SV639 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV108 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV639 ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2524]) ).
thf(3034,plain,
! [SV1107: $i,SV640: $i,SV109: $i] :
( ( ! [SY3472: $i] :
( ( c_Event_Oused @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV109 @ SV640 @ SV1107 ) @ SY3472 @ tc_Event_Oevent ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV1107 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Event_Oused @ SY3472 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2525]) ).
thf(3035,plain,
! [SV1108: $i,SV641: $i,SV110: $i] :
( ( ( c_Event_Oused @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV110 @ SV641 ) @ SV1108 @ tc_Event_Oevent ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV641 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Event_Oused @ SV1108 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2526]) ).
thf(3036,plain,
! [SV1109: $i,SV642: $i,SV111: $i] :
( ( ( hBOOL @ ( c_in @ SV111 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV642 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV1109 @ SV111 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV642 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2527]) ).
thf(3037,plain,
! [SV1110: $i,SV643: $i,SV112: $i] :
( ( ( hBOOL @ ( c_in @ SV112 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV643 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV112 @ SV1110 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV643 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2528]) ).
thf(3038,plain,
! [SV1111: $i,SV644: $i,SV113: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV113 @ SV644 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1111 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV644 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1111 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV113 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1111 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2529]) ).
thf(3039,plain,
! [SV1112: $i,SV645: $i,SV114: $i] :
( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV114 @ SV645 ) @ ( c_Message_Oparts @ ( c_Event_OinitState @ SV1112 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2530]) ).
thf(3040,plain,
! [SV1113: $i,SV646: $i,SV115: $i] :
( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV115 @ SV646 ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV1113 @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2531]) ).
thf(3041,plain,
! [SV1114: $i,SV647: $i,SV116: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV116 @ SV647 ) @ ( c_Message_Osynth @ SV1114 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV116 @ SV647 ) @ SV1114 @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV116 ) @ SV1114 @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2532]) ).
thf(3042,plain,
! [SV1115: $i,SV648: $i,SV117: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV117 @ SV648 ) @ SV1115 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV117 @ SV648 ) @ ( c_Message_Osynth @ SV1115 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV117 ) @ SV1115 @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2533]) ).
thf(3043,plain,
! [SV1116: $i,SV649: $i,SV118: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV118 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV649 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1116 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV118 @ SV649 @ tc_nat ) )
| ~ ( c_lessequals @ SV649 @ ( 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 @ SV1116 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2534]) ).
thf(3044,plain,
! [SV1117: $i,SV650: $i,SV119: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV119 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV650 ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV119 @ SV1117 @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV119 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV1117 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV650 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SV1117 @ ( 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 @ SV650 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2535]) ).
thf(3045,plain,
! [SV1118: $i,SV651: $i,SV120: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV120 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV651 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1118 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV120 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1118 ) ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SV651 @ ( 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 @ SV1118 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2536]) ).
thf(3046,plain,
! [SV652: $i,SV121: $i] :
( ( ( ~ ( class_Lattices_Obounded__lattice @ SV121 ) )
= $true )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV652 @ ( c_Orderings_Otop__class_Otop @ SV121 ) @ SV121 )
= ( c_Orderings_Otop__class_Otop @ SV121 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2537]) ).
thf(3047,plain,
! [SV653: $i,SV122: $i] :
( ( ( ~ ( class_Lattices_Obounded__lattice @ SV122 ) )
= $true )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Otop__class_Otop @ SV122 ) @ SV653 @ SV122 )
= ( c_Orderings_Otop__class_Otop @ SV122 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2538]) ).
thf(3048,plain,
! [SV657: $i,SV126: $i] :
( ( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV126 @ ( 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 @ SV657 ) ) @ ( c_Message_Oparts @ SV657 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV126 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV657 ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2542]) ).
thf(3049,plain,
! [SV1119: $i,SV659: $i,SV128: $i] :
( ( ! [SY3473: $i] :
( ( hBOOL @ ( hAPP @ SV128 @ SV659 ) )
| ( hBOOL @ ( hAPP @ SV1119 @ SV659 ) )
| ~ ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1119 @ SV128 @ ( tc_fun @ SY3473 @ tc_bool ) ) @ SV659 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2544]) ).
thf(3050,plain,
! [SV1120: $i,SV660: $i,SV129: $i] :
( ( ! [SY3474: $i] :
( ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV129 @ SV660 @ ( tc_fun @ SV1120 @ tc_bool ) ) @ SY3474 ) )
| ~ ( hBOOL @ ( hAPP @ SV660 @ SY3474 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2545]) ).
thf(3051,plain,
! [SV1121: $i,SV661: $i,SV130: $i] :
( ( ! [SY3475: $i] :
( ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV130 @ SV661 @ ( tc_fun @ SV1121 @ tc_bool ) ) @ SY3475 ) )
| ~ ( hBOOL @ ( hAPP @ SV130 @ SY3475 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2546]) ).
thf(3052,plain,
! [SV662: $i,SV131: $i] :
( ( ( ~ ( class_Lattices_Obounded__lattice @ SV131 ) )
= $true )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV662 @ ( c_Orderings_Obot__class_Obot @ SV131 ) @ SV131 )
= SV662 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2547]) ).
thf(3053,plain,
! [SV663: $i,SV132: $i] :
( ( ( ~ ( class_Lattices_Obounded__lattice @ SV132 ) )
= $true )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Obot__class_Obot @ SV132 ) @ SV663 @ SV132 )
= SV663 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2548]) ).
thf(3054,plain,
! [SV667: $i,SV136: $i] :
( ( hBOOL @ ( hAPP @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV136 @ tc_bool ) ) @ SV667 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2552]) ).
thf(3055,plain,
! [SV1122: $i,SV668: $i,SV137: $i] :
( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ SV137 @ ( c_Event_Oknows @ SV668 @ SV1122 ) @ tc_Message_Omsg ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV137 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ SV668 @ SV1122 ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2553]) ).
thf(3056,plain,
! [SV1123: $i,SV669: $i,SV138: $i] :
( ( ~ ( class_Lattices_Oupper__semilattice @ SV138 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV669 @ SV1123 @ SV138 )
= SV669 )
| ~ ( c_lessequals @ SV1123 @ SV669 @ SV138 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2554]) ).
thf(3057,plain,
! [SV1124: $i,SV670: $i,SV139: $i] :
( ( ~ ( class_Lattices_Oupper__semilattice @ SV139 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV670 @ SV1124 @ SV139 )
= SV1124 )
| ~ ( c_lessequals @ SV670 @ SV1124 @ SV139 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2555]) ).
thf(3058,plain,
! [SV1125: $i,SV671: $i,SV140: $i] :
( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV140 @ SV671 @ ( tc_fun @ SV1125 @ tc_bool ) )
= SV671 )
| ~ ( c_lessequals @ SV140 @ SV671 @ ( tc_fun @ SV1125 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2556]) ).
thf(3059,plain,
! [SV1126: $i,SV672: $i,SV141: $i] :
( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV141 @ SV672 @ ( tc_fun @ SV1126 @ tc_bool ) )
= SV141 )
| ~ ( c_lessequals @ SV672 @ SV141 @ ( tc_fun @ SV1126 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2557]) ).
thf(3060,plain,
! [SV673: $i,SV142: $i] :
( ( ( SV142
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV673 @ tc_bool ) ) )
= $true )
| ( ( ~ ( c_lessequals @ SV142 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV673 @ tc_bool ) ) @ ( tc_fun @ SV673 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2558]) ).
thf(3061,plain,
! [SV1127: $i,SV674: $i,SV144: $i] :
( ( ! [SY3476: $i,SY3477: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ SV144 @ SV674 @ SV1127 @ SY3476 ) @ ( c_Set_Oimage @ SV144 @ SY3477 @ SV1127 @ SY3476 ) @ ( tc_fun @ SY3476 @ tc_bool ) )
= ( c_Set_Oimage @ SV144 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV674 @ SY3477 @ ( tc_fun @ SV1127 @ tc_bool ) ) @ SV1127 @ SY3476 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2559]) ).
thf(3062,plain,
! [SV1128: $i,SV675: $i,SV145: $i] :
( ( ! [SY3478: $i,SY3479: $i] :
( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV145 @ SV675 @ ( tc_fun @ SV1128 @ tc_bool ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY3478 @ SY3479 @ ( tc_fun @ SV1128 @ tc_bool ) ) @ ( tc_fun @ SV1128 @ tc_bool ) )
| ~ ( c_lessequals @ SV675 @ SY3479 @ ( tc_fun @ SV1128 @ tc_bool ) )
| ~ ( c_lessequals @ SV145 @ SY3478 @ ( tc_fun @ SV1128 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2560]) ).
thf(3063,plain,
! [SV1129: $i,SV676: $i,SV150: $i] :
( ( ! [SY3480: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV150 )
| ( c_lessequals @ SV676 @ SV1129 @ SV150 )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY3480 @ SV676 @ SV150 ) @ SV1129 @ SV150 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2561]) ).
thf(3064,plain,
! [SV1130: $i,SV677: $i,SV151: $i] :
( ( ! [SY3481: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV151 )
| ( c_lessequals @ SV677 @ SV1130 @ SV151 )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV677 @ SY3481 @ SV151 ) @ SV1130 @ SV151 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2562]) ).
thf(3065,plain,
! [SV1131: $i,SV678: $i,SV152: $i] :
( ( ! [SY3482: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV152 )
| ( c_lessequals @ SV678 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1131 @ SY3482 @ SV152 ) @ SV152 )
| ~ ( c_lessequals @ SV678 @ SY3482 @ SV152 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2563]) ).
thf(3066,plain,
! [SV1132: $i,SV679: $i,SV153: $i] :
( ( ! [SY3483: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV153 )
| ( c_lessequals @ SV679 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1132 @ SY3483 @ SV153 ) @ SV153 )
| ~ ( c_lessequals @ SV679 @ SV1132 @ SV153 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2564]) ).
thf(3067,plain,
! [SV1133: $i,SV680: $i,SV154: $i] :
( ( ! [SY3484: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV154 )
| ( c_lessequals @ SV680 @ SV1133 @ SV154 )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY3484 @ SV680 @ SV154 ) @ SV1133 @ SV154 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2565]) ).
thf(3068,plain,
! [SV1134: $i,SV681: $i,SV155: $i] :
( ( ! [SY3485: $i] :
( ~ ( class_Lattices_Oupper__semilattice @ SV155 )
| ( c_lessequals @ SV681 @ SV1134 @ SV155 )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV681 @ SY3485 @ SV155 ) @ SV1134 @ SV155 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2566]) ).
thf(3069,plain,
! [SV1135: $i,SV682: $i,SV156: $i] :
( ( ! [SY3486: $i] :
( ( c_lessequals @ SV156 @ SV682 @ ( tc_fun @ SV1135 @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV156 @ SY3486 @ ( tc_fun @ SV1135 @ tc_bool ) ) @ SV682 @ ( tc_fun @ SV1135 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2567]) ).
thf(3070,plain,
! [SV1136: $i,SV683: $i,SV157: $i] :
( ( ! [SY3487: $i] :
( ( c_lessequals @ SV157 @ SV683 @ ( tc_fun @ SV1136 @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY3487 @ SV157 @ ( tc_fun @ SV1136 @ tc_bool ) ) @ SV683 @ ( tc_fun @ SV1136 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2568]) ).
thf(3071,plain,
! [SV1137: $i,SV686: $i,SV160: $i] :
( ( ( SV160
= ( c_Set_Oinsert @ SV686 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1137 @ tc_bool ) ) @ SV1137 ) )
| ( SV160
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1137 @ tc_bool ) ) )
| ~ ( c_lessequals @ SV160 @ ( c_Set_Oinsert @ SV686 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1137 @ tc_bool ) ) @ SV1137 ) @ ( tc_fun @ SV1137 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2571]) ).
thf(3072,plain,
! [SV1138: $i,SV687: $i,SV162: $i] :
( ( ! [SY3488: $i,SY3489: $i] :
( ( c_Set_Oimage @ SV162 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV687 @ SV1138 @ ( tc_fun @ SY3488 @ tc_bool ) ) @ SY3488 @ SY3489 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ SV162 @ SV687 @ SY3488 @ SY3489 ) @ ( c_Set_Oimage @ SV162 @ SV1138 @ SY3488 @ SY3489 ) @ ( tc_fun @ SY3489 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2572]) ).
thf(3073,plain,
! [SV1139: $i,SV688: $i,SV163: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV163 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV688 @ tc_nat @ tc_Message_Omsg ) @ SV1139 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV163 ) @ ( c_Message_Oanalz @ SV1139 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV163 ) @ ( c_Message_Oanalz @ SV1139 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2573]) ).
thf(3074,plain,
! [SV1140: $i,SV689: $i,SV164: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV164 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV689 @ tc_nat @ tc_Message_Omsg ) @ SV1140 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV164 ) @ ( c_Message_Oanalz @ SV1140 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV164 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV689 @ tc_nat @ tc_Message_Omsg ) @ SV1140 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2574]) ).
thf(3075,plain,
! [SV1141: $i,SV691: $i,SV166: $i] :
( ( ! [SY3490: $i] :
( ~ ( class_Orderings_Olinorder @ SV166 )
| ( c_lessequals @ SV691 @ SV1141 @ SV166 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV691 @ ( c_List_Olist_OCons @ SV1141 @ SY3490 @ SV166 ) @ SV166 ) @ SV166 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2576]) ).
thf(3076,plain,
! [SV1142: $i,SV692: $i,SV167: $i] :
( ( ! [SY3491: $i] :
( ~ ( class_Orderings_Olinorder @ SV167 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV692 @ ( c_List_Olist_OCons @ SV1142 @ SY3491 @ SV167 ) @ SV167 ) @ SV167 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1142 @ SY3491 @ SV167 ) @ SV167 )
| ~ ( c_lessequals @ SV692 @ SV1142 @ SV167 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2577]) ).
thf(3077,plain,
! [SV1143: $i,SV693: $i,SV168: $i] :
( ( ( hBOOL @ ( c_in @ SV168 @ ( c_Message_Osynth @ SV693 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV168 @ SV1143 ) @ SV693 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV168 @ SV1143 ) @ ( c_Message_Osynth @ SV693 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2578]) ).
thf(3078,plain,
! [SV1144: $i,SV694: $i,SV169: $i] :
( ( ( hBOOL @ ( c_in @ SV169 @ ( c_Message_Osynth @ SV694 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV1144 @ SV169 ) @ SV694 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV1144 @ SV169 ) @ ( c_Message_Osynth @ SV694 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2579]) ).
thf(3079,plain,
! [SV1145: $i,SV695: $i,SV170: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV170 @ SV695 ) @ ( c_Message_Osynth @ SV1145 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV695 @ ( c_Message_Osynth @ SV1145 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV170 @ ( c_Message_Osynth @ SV1145 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2580]) ).
thf(3080,plain,
! [SV1146: $i,SV696: $i,SV172: $i] :
( ( ( hBOOL @ ( c_in @ SV172 @ ( c_Message_Oparts @ SV696 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV172 @ ( c_Message_Oparts @ SV1146 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV172 @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1146 @ SV696 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2582]) ).
thf(3081,plain,
! [SV1147: $i,SV697: $i,SV173: $i] :
( ( ( hBOOL @ ( c_in @ SV173 @ ( c_Message_Osynth @ SV697 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1147 @ SV173 ) @ SV697 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1147 @ SV173 ) @ ( c_Message_Osynth @ SV697 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2583]) ).
thf(3082,plain,
! [SV698: $i,SV174: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV174 ) @ SV698 @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV174 ) @ ( c_Message_Osynth @ SV698 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2584]) ).
thf(3083,plain,
! [SV699: $i,SV175: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV175 ) @ ( c_Message_Osynth @ SV699 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV175 ) @ SV699 @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2585]) ).
thf(3084,plain,
! [SV1148: $i,SV700: $i,SV176: $i] :
( ( ( hBOOL @ ( c_in @ SV176 @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV700 @ SV1148 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV176 @ ( c_Message_Oanalz @ SV1148 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2586]) ).
thf(3085,plain,
! [SV177: $i] :
( ( ( class_Orderings_Otop @ SV177 )
= $false )
| ( ( ( hAPP @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ t_a @ SV177 ) ) @ v_x )
= ( c_Orderings_Otop__class_Otop @ SV177 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2587]) ).
thf(3086,plain,
! [SV1149: $i,SV701: $i,SV178: $i] :
( ( ( hBOOL @ ( c_in @ SV178 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV701 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1149 @ SV178 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV701 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV1149 ) ) @ ( c_Message_Oanalz @ SV701 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1149 ) @ ( c_Message_Oanalz @ SV701 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2588]) ).
thf(3087,plain,
! [SV1150: $i,SV702: $i,SV179: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV179 @ SV702 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1150 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV702 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1150 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV179 ) ) @ ( c_Message_Oanalz @ SV1150 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV179 ) @ ( c_Message_Oanalz @ SV1150 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2589]) ).
thf(3088,plain,
! [SV1151: $i,SV705: $i,SV183: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV183 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV705 @ tc_nat @ tc_Message_Omsg ) @ SV1151 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV183 ) @ ( c_Message_Oanalz @ SV1151 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV183 @ SV705 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2592]) ).
thf(3089,plain,
! [SV1152: $i,SV706: $i,SV184: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV184 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV706 @ tc_nat @ tc_Message_Omsg ) @ SV1152 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV184 @ SV706 @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV184 ) @ ( c_Message_Oanalz @ SV1152 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2593]) ).
thf(3090,plain,
! [SV1153: $i,SV707: $i,SV185: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV185 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV707 @ tc_nat @ tc_Message_Omsg ) @ SV1153 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV185 @ SV707 @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV185 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV707 @ tc_nat @ tc_Message_Omsg ) @ SV1153 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2594]) ).
thf(3091,plain,
! [SV1154: $i,SV708: $i,SV186: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV186 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV708 @ tc_nat @ tc_Message_Omsg ) @ SV1154 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV186 @ SV708 @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV186 @ SV708 @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2595]) ).
thf(3092,plain,
! [SV709: $i,SV188: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV188 ) @ SV709 @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV188 ) @ ( c_Message_Osynth @ SV709 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2596]) ).
thf(3093,plain,
! [SV710: $i,SV189: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV189 ) @ SV710 @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV189 ) @ ( c_Message_Osynth @ SV710 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2597]) ).
thf(3094,plain,
! [SV711: $i,SV190: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV190 ) @ ( c_Message_Osynth @ SV711 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV190 ) @ SV711 @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2598]) ).
thf(3095,plain,
! [SV1155: $i,SV712: $i,SV191: $i] :
( ( ( hBOOL @ ( c_in @ SV191 @ ( c_Message_Osynth @ SV712 ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SV1155 @ ( c_Message_Osynth @ SV712 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV191 @ ( c_Message_Osynth @ SV1155 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2599]) ).
thf(3096,plain,
! [SV715: $i,SV194: $i] :
( ( ( c_lessequals @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV194 ) ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV715 ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV194 @ SV715 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2602]) ).
thf(3097,plain,
! [SV1156: $i,SV717: $i,SV196: $i] :
( ( ! [SY3492: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV196 @ SV717 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1156 @ SY3492 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oanalz @ SV717 ) @ ( c_Message_Oanalz @ SY3492 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oanalz @ SV196 ) @ ( c_Message_Oanalz @ SV1156 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2604]) ).
thf(3098,plain,
! [SV199: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ SV199 ) @ c_Message_OsymKeys @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV199 @ c_Message_OsymKeys @ tc_nat ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2606]) ).
thf(3099,plain,
! [SV200: $i] :
( ( ( hBOOL @ ( c_in @ SV200 @ c_Message_OsymKeys @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ SV200 ) @ c_Message_OsymKeys @ tc_nat ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2607]) ).
thf(3100,plain,
! [SV201: $i] :
( ( ( hBOOL @ ( c_in @ SV201 @ c_Message_OsymKeys @ tc_nat ) )
= $false )
| ( ( ( hAPP @ c_Message_OinvKey @ SV201 )
= SV201 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2608]) ).
thf(3101,plain,
! [SV1157: $i,SV719: $i,SV202: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV202 ) @ SV719 @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV202 @ SV1157 ) @ SV719 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV202 @ SV1157 ) @ ( c_Message_Osynth @ SV719 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2609]) ).
thf(3102,plain,
! [SV1158: $i,SV720: $i,SV203: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV203 @ SV720 ) @ ( c_Message_Osynth @ SV1158 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV203 ) @ SV1158 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV720 @ ( c_Message_Osynth @ SV1158 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2610]) ).
thf(3103,plain,
! [SV1159: $i,SV721: $i,SV204: $i] :
( ( ! [SY3493: $i] :
( ( hBOOL @ ( c_in @ SV204 @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV721 @ SV1159 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY3493 @ ( c_Message_Oparts @ SV1159 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV204 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SY3493 @ SV721 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2611]) ).
thf(3104,plain,
! [SV722: $i,SV205: $i] :
( ( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ SV205 @ SV722 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ SV205 @ ( c_Message_Oparts @ SV722 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Osko__Message__Xparts__insert__eq__I__1__1 @ SV722 @ SV205 ) @ ( c_Set_Oinsert @ SV205 @ ( c_Message_Oparts @ SV722 ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2612]) ).
thf(3105,plain,
! [SV723: $i,SV206: $i] :
( ( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ SV206 @ SV723 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ SV206 @ ( c_Message_Oparts @ SV723 ) @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Message_Osko__Message__Xparts__insert__eq__I__1__1 @ SV723 @ SV206 ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV206 @ SV723 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2613]) ).
thf(3106,plain,
! [SV724: $i,SV207: $i] :
( ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV207 @ SV724 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ SV207 @ ( c_Message_Oanalz @ SV724 ) @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Message_Osko__Message__Xanalz__insert__eq__I__1__1 @ SV724 @ SV207 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV207 @ SV724 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2614]) ).
thf(3107,plain,
! [SV725: $i,SV208: $i] :
( ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV208 @ SV725 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ SV208 @ ( c_Message_Oanalz @ SV725 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Osko__Message__Xanalz__insert__eq__I__1__1 @ SV725 @ SV208 ) @ ( c_Set_Oinsert @ SV208 @ ( c_Message_Oanalz @ SV725 ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2615]) ).
thf(3108,plain,
! [SV726: $i,SV209: $i] :
( ( ( ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV209 @ SV726 @ tc_Message_Omsg ) ) )
= ( c_Message_Osynth @ ( c_Message_Oanalz @ SV726 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV209 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV726 ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2616]) ).
thf(3109,plain,
! [SV727: $i,SV210: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV210 ) @ ( c_Message_Oparts @ ( c_Event_OinitState @ SV727 ) ) @ tc_Message_Omsg ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2617]) ).
thf(3110,plain,
! [SV728: $i,SV211: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV211 ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV728 @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV211 @ SV728 @ tc_nat ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2618]) ).
thf(3111,plain,
! [SV729: $i,SV212: $i] :
( ( ( hBOOL @ ( c_in @ SV212 @ SV729 @ tc_nat ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV212 ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV729 @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2619]) ).
thf(3112,plain,
! [SV730: $i,SV213: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV213 ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV730 @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2620]) ).
thf(3113,plain,
! [SV1160: $i,SV731: $i,SV215: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ ( c_Public_OpublicKey @ SV215 ) @ SV731 ) ) @ ( c_Event_OinitState @ SV1160 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2621]) ).
thf(3114,plain,
! [SV1161: $i,SV732: $i,SV216: $i] :
( ( ( hBOOL @ ( c_in @ SV216 @ ( c_Event_Oused @ SV732 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV216 @ ( c_Message_Oparts @ ( c_Event_OinitState @ SV1161 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2622]) ).
thf(3115,plain,
! [SV733: $i,SV217: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV217 @ SV733 ) @ ( c_Event_Oused @ ( c_List_Olist_ONil @ tc_Event_Oevent ) ) @ tc_Message_Omsg ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2623]) ).
thf(3116,plain,
! [SV1162: $i,SV734: $i,SV220: $i] :
( ( ! [SY3494: $i] :
~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV220 ) @ SV734 ) ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV1162 ) @ SY3494 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2626]) ).
thf(3117,plain,
! [SV735: $i,SV221: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV221 ) @ SV735 ) ) @ c_Message_OsymKeys @ tc_nat ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2627]) ).
thf(3118,plain,
! [SV1163: $i,SV736: $i,SV222: $i] :
( ( ! [SY3495: $i] :
( ~ ( class_Orderings_Olinorder @ SV222 )
| ( c_lessequals @ SV736 @ SV1163 @ SV222 )
| ~ ( hBOOL @ ( c_in @ SV1163 @ ( c_List_Oset @ SY3495 @ SV222 ) @ SV222 ) )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV736 @ SY3495 @ SV222 ) @ SV222 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2628]) ).
thf(3119,plain,
! [SV1164: $i,SV737: $i,SV223: $i] :
( ( ( hBOOL @ ( c_in @ SV223 @ ( c_Message_Oanalz @ SV737 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV1164 ) ) @ ( c_Message_Oanalz @ SV737 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1164 @ SV223 ) @ ( c_Message_Oanalz @ SV737 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2629]) ).
thf(3120,plain,
! [SV1165: $i,SV738: $i,SV224: $i] :
( ( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV224 @ SV738 @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ SV1165 ) @ ( c_Message_Oparts @ SV738 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV224 @ SV1165 @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2630]) ).
thf(3121,plain,
! [SV1166: $i,SV739: $i,SV225: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ SV225 ) @ ( c_Message_OkeysFor @ SV739 ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV225 @ SV1166 ) @ SV739 @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2631]) ).
thf(3122,plain,
! [SV1167: $i,SV740: $i,SV226: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV226 ) @ SV740 ) ) ) @ ( c_Event_Oused @ SV1167 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2632]) ).
thf(3123,plain,
! [SV1168: $i,SV741: $i,SV227: $i] :
( ( ( hBOOL @ ( c_in @ SV227 @ ( c_Event_OinitState @ SV741 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SV741 @ SV227 ) @ ( c_List_Oset @ SV1168 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_OGets @ SV741 @ SV227 ) @ ( c_List_Oset @ SV1168 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV741 @ ( c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1 @ SV741 @ SV227 @ SV1168 ) @ SV227 ) @ ( c_List_Oset @ SV1168 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV741 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( c_in @ SV227 @ ( c_Event_Oknows @ SV741 @ SV1168 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2633]) ).
thf(3124,plain,
! [SV1169: $i,SV742: $i,SV228: $i] :
( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV228 ) @ SV742 ) ) @ ( c_Set_Oimage @ c_Public_OshrK @ SV1169 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2634]) ).
thf(3125,plain,
! [SV1170: $i,SV743: $i,SV229: $i] :
( ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV229 @ SV743 ) @ SV1170 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV229 @ SV743 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV743 @ SV1170 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV229 ) ) @ ( c_Message_Oanalz @ SV1170 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2635]) ).
thf(3126,plain,
! [SV1171: $i,SV744: $i,SV230: $i] :
( ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV230 @ SV744 ) @ SV1171 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV230 @ SV744 ) @ ( c_Message_Oanalz @ SV1171 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV230 ) ) @ ( c_Message_Oanalz @ SV1171 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2636]) ).
thf(3127,plain,
! [SV1172: $i,SV745: $i,SV231: $i] :
( ( ! [SY3496: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV231 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV745 @ SV1172 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV231 ) @ ( c_Message_Oanalz @ SV1172 ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SY3496 @ SV1172 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV745 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY3496 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2637]) ).
thf(3128,plain,
! [SV1173: $i,SV746: $i,SV232: $i] :
( ( ! [SY3497: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV232 ) @ ( c_Message_Oanalz @ SV746 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV232 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV1173 @ SV746 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SY3497 @ SV746 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV1173 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SY3497 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2638]) ).
thf(3129,plain,
! [SV747: $i,SV233: $i] :
( ( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV233 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Event_Oused @ SV747 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV233 @ ( c_Event_Oused @ SV747 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2639]) ).
thf(3130,plain,
! [SV1174: $i,SV748: $i,SV234: $i] :
( ( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV234 @ SV748 ) @ SV1174 @ tc_Message_Omsg ) ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV234 @ SV748 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV748 @ SV1174 @ 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 @ SV234 ) ) @ ( c_Message_Oanalz @ SV1174 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2640]) ).
thf(3131,plain,
! [SV1175: $i,SV749: $i,SV235: $i] :
( ( ( c_lessequals @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV235 @ SV749 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV749 @ SV1175 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV235 @ SV749 ) @ SV1175 @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV235 ) ) @ ( c_Message_Oanalz @ SV1175 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2641]) ).
thf(3132,plain,
! [SV1176: $i,SV750: $i,SV236: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV236 ) @ SV750 ) ) ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1176 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV750 @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2642]) ).
thf(3133,plain,
! [SV1177: $i,SV751: $i,SV237: $i] :
( ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ SV237 @ SV751 ) @ SV1177 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ SV751 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1177 ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1177 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2643]) ).
thf(3134,plain,
! [SV1178: $i,SV752: $i,SV238: $i] :
( ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ SV238 @ SV752 ) @ SV1178 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ SV752 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1178 ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1178 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2644]) ).
thf(3135,plain,
! [SV1179: $i,SV753: $i,SV239: $i] :
( ( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV239 @ SV753 ) @ SV1179 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV753 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1179 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV239 @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2645]) ).
thf(3136,plain,
! [SV1180: $i,SV754: $i,SV240: $i] :
( ( ( ( c_Event_Oknows @ SV240 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV240 @ SV754 ) @ SV1180 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV754 @ ( c_Event_Oknows @ SV240 @ SV1180 ) @ tc_Message_Omsg ) )
| ( SV240 = c_Message_Oagent_OSpy ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2646]) ).
thf(3137,plain,
! [SV1181: $i,SV755: $i,SV241: $i] :
( ( ! [SY3498: $i] :
( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV241 @ SV755 @ SV1181 ) @ SY3498 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV1181 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY3498 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2647]) ).
thf(3138,plain,
! [SV756: $i,SV242: $i] :
( ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV242 ) @ SV756 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV242 ) @ ( c_Message_Oanalz @ SV756 ) @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV242 @ ( c_Message_OkeysFor @ ( c_Message_Oanalz @ SV756 ) ) @ tc_nat ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2648]) ).
thf(3139,plain,
! [SV1182: $i,SV757: $i,SV243: $i] :
( ( ( c_Event_Oknows @ SV243 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV243 @ SV757 ) @ SV1182 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV757 @ ( c_Event_Oknows @ SV243 @ SV1182 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2649]) ).
thf(3140,plain,
! [SV1183: $i,SV758: $i,SV244: $i] :
( ( ! [SY3499: $i] :
( ( c_Event_Oknows @ SV244 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV244 @ SV758 @ SV1183 ) @ SY3499 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV1183 @ ( c_Event_Oknows @ SV244 @ SY3499 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2650]) ).
thf(3141,plain,
! [SV1184: $i,SV759: $i,SV245: $i] :
( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV245 @ SV759 ) @ SV1184 @ tc_Message_Omsg ) ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV245 @ SV759 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV759 @ SV1184 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2651]) ).
thf(3142,plain,
! [SV1185: $i,SV760: $i,SV246: $i] :
( ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV246 @ SV760 @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ SV760 ) )
| ~ ( c_lessequals @ SV1185 @ SV760 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV246 @ ( c_Message_Oanalz @ SV1185 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2652]) ).
thf(3143,plain,
! [SV1186: $i,SV764: $i,SV250: $i] :
( ( ( c_Message_OkeysFor @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV250 @ SV764 ) @ SV1186 @ tc_Message_Omsg ) )
= ( c_Message_OkeysFor @ SV1186 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2656]) ).
thf(3144,plain,
! [SV1187: $i,SV768: $i,SV254: $i] :
( ( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV254 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ SV768 ) @ SV1187 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ SV768 ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV254 ) @ SV1187 @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2660]) ).
thf(3145,plain,
! [SV1188: $i,SV769: $i,SV255: $i] :
( ( ! [SY3500: $i] :
( ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV255 @ SV769 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ SV1188 ) @ SY3500 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ SV1188 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV255 @ SV769 ) @ SY3500 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2661]) ).
thf(3146,plain,
! [SV1189: $i,SV772: $i,SV258: $i] :
( ( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV258 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ SV772 ) @ SV1189 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ SV772 ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV258 ) @ SV1189 @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2664]) ).
thf(3147,plain,
! [SV1190: $i,SV773: $i,SV259: $i] :
( ( ! [SY3501: $i] :
( ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV259 @ SV773 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ SV1190 ) @ SY3501 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ SV1190 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV259 @ SV773 ) @ SY3501 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2665]) ).
thf(3148,plain,
! [SV1191: $i,SV775: $i,SV261: $i] :
( ( ! [SY3502: $i] :
( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV261 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV775 @ SV1191 ) @ SY3502 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV775 @ SV1191 ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV261 ) @ SY3502 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2667]) ).
thf(3149,plain,
! [SV1192: $i,SV777: $i,SV263: $i] :
( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV263 @ SV777 ) @ SV1192 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV263 @ SV777 ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV777 @ SV1192 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2669]) ).
thf(3150,plain,
! [SV1193: $i,SV778: $i,SV264: $i] :
( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV264 @ SV778 ) @ SV1193 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV264 @ SV778 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV264 @ ( c_Set_Oinsert @ SV778 @ SV1193 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2670]) ).
thf(3151,plain,
! [SV1194: $i,SV779: $i,SV265: $i] :
( ( ! [SY3503: $i] :
( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV265 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV779 @ SV1194 ) @ SY3503 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV779 @ SV1194 ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV265 ) @ SY3503 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2671]) ).
thf(3152,plain,
! [SV1195: $i,SV780: $i,SV266: $i] :
( ( ( hBOOL @ ( c_in @ SV266 @ ( c_Message_Oanalz @ SV780 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1195 @ ( c_Message_Oanalz @ SV780 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV266 @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV1195 @ SV780 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2672]) ).
thf(3153,plain,
! [SV781: $i,SV267: $i] :
( ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV267 @ SV781 @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ SV781 ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV267 @ ( c_Message_Oanalz @ SV781 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2673]) ).
thf(3154,plain,
! [SV1196: $i,SV782: $i,SV268: $i] :
( ( ( hBOOL @ ( c_in @ SV268 @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV782 @ SV1196 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV268 @ ( c_Message_Oanalz @ SV1196 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2674]) ).
thf(3155,plain,
! [SV1197: $i,SV783: $i,SV269: $i] :
( ( ! [SY3504: $i,SY3505: $i] :
( ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV269 @ SV783 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV1197 @ SY3504 ) @ SY3505 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV1197 @ SY3504 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV269 @ SV783 ) @ SY3505 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2675]) ).
thf(3156,plain,
! [SV1198: $i,SV784: $i,SV270: $i] :
( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV270 @ SV784 ) @ SV1198 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV270 @ SV784 ) @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV270 @ ( c_Set_Oinsert @ SV784 @ SV1198 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2676]) ).
thf(3157,plain,
! [SV1199: $i,SV785: $i,SV271: $i] :
( ( ( hBOOL @ ( c_in @ SV271 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV785 @ SV1199 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV271 @ ( c_Message_Oparts @ SV1199 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2677]) ).
thf(3158,plain,
! [SV786: $i,SV272: $i] :
( ( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ SV272 @ SV786 @ tc_Message_Omsg ) )
= ( c_Message_Oparts @ SV786 ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV272 @ ( c_Message_Oparts @ SV786 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2678]) ).
thf(3159,plain,
! [SV1200: $i,SV787: $i,SV273: $i] :
( ( ( c_List_Oset @ ( c_List_Olist_OCons @ SV273 @ SV787 @ SV1200 ) @ SV1200 )
= ( c_Set_Oinsert @ SV273 @ ( c_List_Oset @ SV787 @ SV1200 ) @ SV1200 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2679]) ).
thf(3160,plain,
! [SV1201: $i,SV788: $i,SV274: $i] :
( ( ! [SY3506: $i,SY3507: $i] :
( ( ( c_Set_Oinsert @ ( hAPP @ SV274 @ SV788 ) @ ( c_Set_Oimage @ SV274 @ SV1201 @ SY3506 @ SY3507 ) @ SY3507 )
= ( c_Set_Oimage @ SV274 @ SV1201 @ SY3506 @ SY3507 ) )
| ~ ( hBOOL @ ( c_in @ SV788 @ SV1201 @ SY3506 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2680]) ).
thf(3161,plain,
! [SV1202: $i,SV789: $i,SV275: $i] :
( ( ! [SY3508: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ SV275 @ SV789 @ SV1202 ) @ SY3508 @ ( tc_fun @ SV1202 @ tc_bool ) )
| ~ ( c_lessequals @ SV789 @ SY3508 @ ( tc_fun @ SV1202 @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV275 @ SY3508 @ SV1202 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2681]) ).
thf(3162,plain,
! [SV1203: $i,SV790: $i,SV276: $i] :
( ( ! [SY3509: $i] :
( ( hBOOL @ ( c_in @ SV276 @ SV790 @ SV1203 ) )
| ~ ( c_lessequals @ ( c_Set_Oinsert @ SV276 @ SY3509 @ SV1203 ) @ SV790 @ ( tc_fun @ SV1203 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2682]) ).
thf(3163,plain,
! [SV1204: $i,SV791: $i,SV277: $i] :
( ( ! [SY3510: $i] :
( ( c_lessequals @ SV277 @ ( c_Set_Oinsert @ SV791 @ SV1204 @ SY3510 ) @ ( tc_fun @ SY3510 @ tc_bool ) )
| ~ ( c_lessequals @ SV277 @ SV1204 @ ( tc_fun @ SY3510 @ tc_bool ) )
| ( hBOOL @ ( c_in @ SV791 @ SV277 @ SY3510 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2683]) ).
thf(3164,plain,
! [SV1205: $i,SV792: $i,SV278: $i] :
( ( ! [SY3511: $i] :
( ( c_lessequals @ SV278 @ SV792 @ ( tc_fun @ SV1205 @ tc_bool ) )
| ( hBOOL @ ( c_in @ SY3511 @ SV278 @ SV1205 ) )
| ~ ( c_lessequals @ SV278 @ ( c_Set_Oinsert @ SY3511 @ SV792 @ SV1205 ) @ ( tc_fun @ SV1205 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2684]) ).
thf(3165,plain,
! [SV1206: $i,SV793: $i,SV279: $i] :
( ( ! [SY3512: $i] :
( ( c_lessequals @ SV279 @ ( c_Set_Oinsert @ SV793 @ SV1206 @ SY3512 ) @ ( tc_fun @ SY3512 @ tc_bool ) )
| ~ ( c_lessequals @ SV279 @ SV1206 @ ( tc_fun @ SY3512 @ tc_bool ) )
| ( hBOOL @ ( c_in @ SV793 @ SV279 @ SY3512 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2685]) ).
thf(3166,plain,
! [SV1207: $i,SV794: $i,SV280: $i] :
( ( ! [SY3513: $i] :
( ( c_lessequals @ SV280 @ SV794 @ ( tc_fun @ SV1207 @ tc_bool ) )
| ~ ( c_lessequals @ SV280 @ ( c_Set_Oinsert @ SY3513 @ SV794 @ SV1207 ) @ ( tc_fun @ SV1207 @ tc_bool ) )
| ( hBOOL @ ( c_in @ SY3513 @ SV280 @ SV1207 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2686]) ).
thf(3167,plain,
! [SV1208: $i,SV795: $i,SV281: $i] :
( ( ! [SY3514: $i] :
( ( c_lessequals @ ( c_Set_Oinsert @ SV281 @ SV795 @ SV1208 ) @ ( c_Set_Oinsert @ SV281 @ SY3514 @ SV1208 ) @ ( tc_fun @ SV1208 @ tc_bool ) )
| ~ ( c_lessequals @ SV795 @ SY3514 @ ( tc_fun @ SV1208 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2687]) ).
thf(3168,plain,
! [SV1209: $i,SV796: $i,SV282: $i] :
( ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV282 @ SV796 @ SV1209 ) @ SV282 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2688]) ).
thf(3169,plain,
! [SV1210: $i,SV797: $i,SV283: $i] :
( ( ! [SY3515: $i,SY3516: $i] :
( ( c_Set_Oimage @ SV283 @ ( c_Set_Oinsert @ SV797 @ SV1210 @ SY3515 ) @ SY3515 @ SY3516 )
= ( c_Set_Oinsert @ ( hAPP @ SV283 @ SV797 ) @ ( c_Set_Oimage @ SV283 @ SV1210 @ SY3515 @ SY3516 ) @ SY3516 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2689]) ).
thf(3170,plain,
! [SV1211: $i,SV798: $i,SV284: $i] :
( ( c_lessequals @ SV284 @ ( c_Set_Oinsert @ SV798 @ SV284 @ SV1211 ) @ ( tc_fun @ SV1211 @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2690]) ).
thf(3171,plain,
! [SV1212: $i,SV799: $i,SV285: $i] :
( ( ! [SY3517: $i] :
( ( hBOOL @ ( hAPP @ SV285 @ SV799 ) )
| ( SV1212 = SV799 )
| ~ ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV1212 @ SV285 @ SY3517 ) @ SV799 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2691]) ).
thf(3172,plain,
! [SV1213: $i,SV800: $i,SV286: $i] :
( ( ( c_Set_Oinsert @ SV286 @ ( c_Set_Oinsert @ SV286 @ SV800 @ SV1213 ) @ SV1213 )
= ( c_Set_Oinsert @ SV286 @ SV800 @ SV1213 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2692]) ).
thf(3173,plain,
! [SV1214: $i,SV801: $i,SV287: $i] :
( ( ! [SY3518: $i] :
( ( c_lessequals @ SV287 @ ( c_Set_Oinsert @ SV801 @ SV1214 @ SY3518 ) @ ( tc_fun @ SY3518 @ tc_bool ) )
| ~ ( c_lessequals @ SV287 @ SV1214 @ ( tc_fun @ SY3518 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2693]) ).
thf(3174,plain,
! [SV1215: $i,SV802: $i,SV288: $i] :
( ( ! [SY3519: $i] :
( ( c_lessequals @ SV288 @ SV802 @ ( tc_fun @ SV1215 @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Set_Oinsert @ SY3519 @ SV288 @ SV1215 ) @ SV802 @ ( tc_fun @ SV1215 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2694]) ).
thf(3175,plain,
! [SV1216: $i,SV803: $i,SV289: $i] :
( ( ! [SY3520: $i] :
( ( c_Set_Oinsert @ SV289 @ ( c_Set_Oinsert @ SV803 @ SV1216 @ SY3520 ) @ SY3520 )
= ( c_Set_Oinsert @ SV803 @ ( c_Set_Oinsert @ SV289 @ SV1216 @ SY3520 ) @ SY3520 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2695]) ).
thf(3176,plain,
! [SV1217: $i,SV804: $i,SV290: $i] :
( ( ! [SY3521: $i] :
( ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV290 @ SV804 @ SV1217 ) @ SY3521 ) )
| ~ ( hBOOL @ ( hAPP @ SV804 @ SY3521 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2696]) ).
thf(3177,plain,
! [SV1218: $i,SV805: $i,SV291: $i] :
( ( ! [SY3522: $i,SY3523: $i] :
( ( c_Set_Oinsert @ ( hAPP @ SV291 @ SV805 ) @ ( c_Set_Oimage @ SV291 @ SV1218 @ SY3522 @ SY3523 ) @ SY3523 )
= ( c_Set_Oimage @ SV291 @ ( c_Set_Oinsert @ SV805 @ SV1218 @ SY3522 ) @ SY3522 @ SY3523 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2697]) ).
thf(3178,plain,
! [SV1219: $i,SV806: $i,SV292: $i] :
( ( ! [SY3524: $i] :
( ( hBOOL @ ( c_in @ SV292 @ ( c_Set_Oinsert @ SV806 @ SV1219 @ SY3524 ) @ SY3524 ) )
| ~ ( hBOOL @ ( c_in @ SV292 @ SV1219 @ SY3524 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2698]) ).
thf(3179,plain,
! [SV1220: $i,SV807: $i,SV293: $i] :
( ( ! [SY3525: $i] :
( ( hBOOL @ ( c_in @ SV293 @ ( c_Set_Oinsert @ SV807 @ SV1220 @ SY3525 ) @ SY3525 ) )
| ~ ( hBOOL @ ( c_in @ SV293 @ SV1220 @ SY3525 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2699]) ).
thf(3180,plain,
! [SV1221: $i,SV808: $i,SV294: $i] :
( ( ! [SY3526: $i] :
( ( hBOOL @ ( c_in @ SV294 @ SV808 @ SV1221 ) )
| ( SV294 = SY3526 )
| ~ ( hBOOL @ ( c_in @ SV294 @ ( c_Set_Oinsert @ SY3526 @ SV808 @ SV1221 ) @ SV1221 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2700]) ).
thf(3181,plain,
! [SV1222: $i,SV809: $i,SV295: $i] :
( ( hBOOL @ ( c_in @ SV295 @ ( c_Set_Oinsert @ SV295 @ SV809 @ SV1222 ) @ SV1222 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2701]) ).
thf(3182,plain,
! [SV1223: $i,SV810: $i,SV296: $i] :
( ( hBOOL @ ( c_in @ SV296 @ ( c_Set_Oinsert @ SV296 @ SV810 @ SV1223 ) @ SV1223 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2702]) ).
thf(3183,plain,
! [SV1224: $i,SV811: $i,SV297: $i] :
( ( hBOOL @ ( c_in @ SV297 @ ( c_Set_Oinsert @ SV297 @ SV811 @ SV1224 ) @ SV1224 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2703]) ).
thf(3184,plain,
! [SV1225: $i,SV812: $i,SV298: $i] :
( ( ( ( c_Set_Oinsert @ SV298 @ SV812 @ SV1225 )
= SV812 )
| ~ ( hBOOL @ ( c_in @ SV298 @ SV812 @ SV1225 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2704]) ).
thf(3185,plain,
! [SV813: $i,SV299: $i] :
( ( ( hBOOL @ ( c_in @ SV299 @ ( 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 @ SV813 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV299 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV299 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV813 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2705]) ).
thf(3186,plain,
! [SV1226: $i,SV814: $i,SV300: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV300 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV814 ) ) @ tc_Message_Omsg ) )
| ( SV300 = SV1226 )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV300 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV1226 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV814 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV1226 @ ( 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 @ SV814 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2706]) ).
thf(3187,plain,
! [SV1227: $i,SV815: $i,SV301: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV301 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV815 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1227 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV301 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1227 ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV815 @ ( 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 @ SV1227 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2707]) ).
thf(3188,plain,
! [SV1228: $i,SV816: $i,SV302: $i] :
( ( ! [SY3527: $i,SY3528: $i,SY3529: $i,SY3530: $i] :
( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV302 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV816 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV816 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SV1228 @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ SY3527 @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SY3528 @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1 @ SV302 @ SY3528 @ SV816 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV302 ) ) ) ) @ ( c_List_Oset @ SV816 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3527 @ ( c_Message_Omsg_OCrypt @ SY3529 @ ( c_Message_Omsg_OMPair @ SY3528 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1228 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV302 ) @ SY3530 ) ) ) ) ) @ ( c_List_Oset @ SV816 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2708]) ).
thf(3189,plain,
! [SV1229: $i,SV817: $i,SV303: $i] :
( ( ! [SY3531: $i,SY3532: $i] :
( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV817 ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SV1229 @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1 @ SV303 @ SV1229 @ SV817 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) ) ) ) @ ( c_List_Oset @ SV817 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV817 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SY3531 @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ SY3532 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3532 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3532 ) @ ( c_Message_Omsg_OMPair @ SV1229 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3531 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3531 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) @ ( c_Message_Omsg_OAgent @ SY3532 ) ) ) ) ) ) ) ) @ ( c_List_Oset @ SV817 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2709]) ).
thf(3190,plain,
! [SV818: $i,SV304: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV304 ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV818 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV304 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ SV818 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2710]) ).
thf(3191,plain,
! [SV1230: $i,SV819: $i,SV305: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ ( c_Public_OpublicKey @ SV305 ) @ SV819 ) ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1230 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2711]) ).
thf(3192,plain,
! [SV1231: $i,SV820: $i,SV306: $i] :
( ( ! [SY3533: $i,SY3534: $i,SY3535: $i,SY3536: $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 @ SV306 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV820 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV1231 ) ) ) ) @ SY3533 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3534 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3534 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV306 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3535 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1231 ) @ SY3536 ) ) ) ) ) @ ( c_List_Oset @ SY3533 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3535 @ SY3534 @ ( c_Message_Omsg_OCrypt @ SV1231 @ ( c_Message_Omsg_ONonce @ SV820 ) ) ) @ ( c_List_Oset @ SY3533 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SY3533 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2712]) ).
thf(3193,plain,
! [SV1232: $i,SV821: $i,SV307: $i] :
( ( ! [SY3537: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV307 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV307 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV821 ) @ ( c_Message_Omsg_ONonce @ SV1232 ) ) ) ) @ SY3537 @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1232 ) @ ( c_Event_Oused @ SY3537 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SY3537 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2713]) ).
thf(3194,plain,
! [SV1233: $i,SV822: $i,SV308: $i] :
( ( ! [SY3538: $i,SY3539: $i,SY3540: $i] :
( ~ ( hBOOL @ ( c_in @ SV308 @ ( 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 @ SV822 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SV1233 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1233 ) @ ( c_Message_Omsg_OMPair @ SY3538 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3539 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV308 ) @ SY3540 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV822 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2714]) ).
thf(3195,plain,
! [SV1234: $i,SV823: $i,SV309: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ ( c_Public_OpublicKey @ SV309 ) @ SV823 ) ) @ ( c_Event_Oused @ SV1234 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2715]) ).
thf(3196,plain,
! [SV1235: $i,SV824: $i,SV310: $i] :
( ( ( hBOOL @ ( c_in @ SV310 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV824 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1235 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1235 ) @ SV310 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV824 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2716]) ).
thf(3197,plain,
! [SV825: $i,SV311: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV311 @ ( 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 @ SV311 ) @ ( c_Event_Oused @ SV825 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2717]) ).
thf(3198,plain,
! [SV826: $i,SV312: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV312 ) ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV826 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV312 @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2718]) ).
thf(3199,plain,
! [SV827: $i,SV313: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV313 ) @ SV827 ) @ c_Message_OsymKeys @ tc_nat ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2719]) ).
thf(3200,plain,
! [SV1236: $i,SV828: $i,SV314: $i] :
( ( ! [SY3541: $i] :
( ~ ( hBOOL @ ( c_in @ SV314 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV828 ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV314 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV1236 @ SY3541 ) @ SV828 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2720]) ).
thf(3201,plain,
! [SV1237: $i,SV829: $i,SV315: $i] :
( ( ! [SY3542: $i] :
( ~ ( hBOOL @ ( c_in @ SV315 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV829 ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV315 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV1237 @ SY3542 ) @ SV829 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2721]) ).
thf(3202,plain,
! [SV1238: $i,SV830: $i,SV317: $i] :
( ( ( hBOOL @ ( c_in @ SV317 @ ( c_Message_Oanalz @ SV830 ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SV1238 @ ( c_Message_Oanalz @ SV830 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV317 @ ( c_Message_Oanalz @ SV1238 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2722]) ).
thf(3203,plain,
! [SV1239: $i,SV831: $i,SV318: $i] :
( ( ( hBOOL @ ( c_in @ SV318 @ ( c_Message_Oparts @ SV831 ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SV1239 @ ( c_Message_Oparts @ SV831 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV318 @ ( c_Message_Oparts @ SV1239 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2723]) ).
thf(3204,plain,
! [SV1240: $i,SV832: $i,SV319: $i] :
( ( ! [SY3543: $i] :
( ( hBOOL @ ( c_in @ SV319 @ ( c_List_Oset @ SV832 @ SV1240 ) @ SV1240 ) )
| ( SV319 = SY3543 )
| ~ ( hBOOL @ ( c_in @ SV319 @ ( c_List_Oset @ ( c_List_Olist_OCons @ SY3543 @ SV832 @ SV1240 ) @ SV1240 ) @ SV1240 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2724]) ).
thf(3205,plain,
! [SV1241: $i,SV833: $i,SV320: $i] :
( ( ( hBOOL @ ( c_in @ SV320 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV833 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1241 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SV1241 @ SV320 ) @ ( c_List_Oset @ SV833 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2725]) ).
thf(3206,plain,
! [SV1242: $i,SV834: $i,SV321: $i] :
( ( ! [SY3544: $i] : ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV321 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV834 @ SV1242 @ SY3544 ) @ SV321 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2726]) ).
thf(3207,plain,
! [SV1243: $i,SV835: $i,SV322: $i] :
( ( ! [SY3545: $i,SY3546: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV322 @ SV835 ) @ ( c_Event_Oknows @ SV322 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV1243 @ SY3545 @ SY3546 ) @ SV835 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2727]) ).
thf(3208,plain,
! [SV1244: $i,SV836: $i,SV323: $i] :
( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ SV323 ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV836 ) @ SV1244 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2728]) ).
thf(3209,plain,
! [SV837: $i,SV324: $i] :
( ( ( hBOOL @ ( c_in @ SV324 @ SV837 @ tc_Message_Oagent ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ SV324 ) @ ( c_Set_Oimage @ c_Public_OshrK @ SV837 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2729]) ).
thf(3210,plain,
! [SV838: $i,SV325: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ SV325 ) @ ( c_Set_Oimage @ c_Public_OshrK @ SV838 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV325 @ SV838 @ tc_Message_Oagent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2730]) ).
thf(3211,plain,
! [SV1245: $i,SV839: $i,SV326: $i] :
( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV326 ) @ SV839 ) @ ( c_Set_Oimage @ c_Public_OshrK @ SV1245 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2731]) ).
thf(3212,plain,
! [SV1246: $i,SV840: $i,SV327: $i] :
( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV327 @ SV840 ) @ SV1246 @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1246 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2732]) ).
thf(3213,plain,
! [SV841: $i,SV329: $i] :
( ( ( c_lessequals @ SV329 @ ( c_Message_Oanalz @ SV841 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ ( c_Message_Oanalz @ SV329 ) @ ( c_Message_Oanalz @ SV841 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2733]) ).
thf(3214,plain,
! [SV842: $i,SV330: $i] :
( ( ( c_lessequals @ ( c_Message_Oanalz @ SV330 ) @ ( c_Message_Oanalz @ SV842 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV330 @ ( c_Message_Oanalz @ SV842 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2734]) ).
thf(3215,plain,
! [SV843: $i,SV331: $i] :
( ( ( c_lessequals @ ( c_Message_Oanalz @ SV331 ) @ ( c_Message_Oanalz @ SV843 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV331 @ SV843 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2735]) ).
thf(3216,plain,
! [SV844: $i,SV332: $i] :
( ( ( c_lessequals @ SV332 @ ( c_Message_Oparts @ SV844 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ ( c_Message_Oparts @ SV332 ) @ ( c_Message_Oparts @ SV844 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2736]) ).
thf(3217,plain,
! [SV845: $i,SV333: $i] :
( ( ( c_lessequals @ ( c_Message_Oparts @ SV333 ) @ ( c_Message_Oparts @ SV845 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV333 @ ( c_Message_Oparts @ SV845 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2737]) ).
thf(3218,plain,
! [SV846: $i,SV334: $i] :
( ( ( c_lessequals @ ( c_Message_Oparts @ SV334 ) @ ( c_Message_Oparts @ SV846 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV334 @ SV846 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2738]) ).
thf(3219,plain,
! [SV1247: $i,SV847: $i,SV336: $i] :
( ( ! [SY3547: $i,SY3548: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ SV336 @ SV847 ) @ ( c_Set_Oimage @ SV336 @ SV1247 @ SY3547 @ SY3548 ) @ SY3548 ) )
| ~ ( hBOOL @ ( c_in @ SV847 @ SV1247 @ SY3547 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2739]) ).
thf(3220,plain,
! [SV1248: $i,SV848: $i,SV337: $i] :
( ( ! [SY3549: $i,SY3550: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ SV337 @ SV848 ) @ ( c_Set_Oimage @ SV337 @ SV1248 @ SY3549 @ SY3550 ) @ SY3550 ) )
| ~ ( hBOOL @ ( c_in @ SV848 @ SV1248 @ SY3549 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2740]) ).
thf(3221,plain,
! [SV1249: $i,SV849: $i,SV338: $i] :
( ( ! [SY3551: $i,SY3552: $i] :
( ~ ( hBOOL @ ( c_in @ SV338 @ SV849 @ SV1249 ) )
| ( hBOOL @ ( c_in @ ( hAPP @ SY3551 @ SV338 ) @ ( c_Set_Oimage @ SY3551 @ SV849 @ SV1249 @ SY3552 ) @ SY3552 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2741]) ).
thf(3222,plain,
! [SV1250: $i,SV850: $i,SV339: $i] :
( ( ! [SY3553: $i,SY3554: $i] :
( ~ ( hBOOL @ ( c_in @ SV339 @ SV850 @ SV1250 ) )
| ( hBOOL @ ( c_in @ ( hAPP @ SY3553 @ SV339 ) @ ( c_Set_Oimage @ SY3553 @ SV850 @ SV1250 @ SY3554 ) @ SY3554 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2742]) ).
thf(3223,plain,
! [SV1251: $i,SV852: $i,SV341: $i] :
( ( ! [SY3555: $i] :
( ( hBOOL @ ( c_in @ SV341 @ SV852 @ SV1251 ) )
| ~ ( hBOOL @ ( c_in @ SV341 @ SY3555 @ SV1251 ) )
| ~ ( c_lessequals @ SY3555 @ SV852 @ ( tc_fun @ SV1251 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2744]) ).
thf(3224,plain,
! [SV1252: $i,SV853: $i,SV342: $i] :
( ( ! [SY3556: $i] :
( ( hBOOL @ ( c_in @ SV342 @ SV853 @ SV1252 ) )
| ~ ( hBOOL @ ( c_in @ SV342 @ SY3556 @ SV1252 ) )
| ~ ( c_lessequals @ SY3556 @ SV853 @ ( tc_fun @ SV1252 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2745]) ).
thf(3225,plain,
! [SV1253: $i,SV854: $i,SV343: $i] :
( ( ! [SY3557: $i] :
( ( hBOOL @ ( c_in @ SV343 @ SV854 @ SV1253 ) )
| ~ ( c_lessequals @ SY3557 @ SV854 @ ( tc_fun @ SV1253 @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV343 @ SY3557 @ SV1253 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2746]) ).
thf(3226,plain,
! [SV1254: $i,SV855: $i,SV344: $i] :
( ( ! [SY3558: $i] :
( ( hBOOL @ ( c_in @ SV344 @ SV855 @ SV1254 ) )
| ~ ( hBOOL @ ( c_in @ SV344 @ SY3558 @ SV1254 ) )
| ~ ( c_lessequals @ SY3558 @ SV855 @ ( tc_fun @ SV1254 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2747]) ).
thf(3227,plain,
! [SV1255: $i,SV856: $i,SV345: $i] :
( ( ! [SY3559: $i,SY3560: $i] :
( ~ ( class_HOL_Oord @ SV345 )
| ( c_lessequals @ ( hAPP @ SV856 @ SV1255 ) @ ( hAPP @ SY3559 @ SV1255 ) @ SV345 )
| ~ ( c_lessequals @ SV856 @ SY3559 @ ( tc_fun @ SY3560 @ SV345 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2748]) ).
thf(3228,plain,
! [SV1256: $i,SV857: $i,SV346: $i] :
( ( c_lessequals @ ( c_Event_Oknows @ SV346 @ SV857 ) @ ( c_Event_Oknows @ SV346 @ ( c_List_Olist_OCons @ SV1256 @ SV857 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2749]) ).
thf(3229,plain,
! [SV1257: $i,SV858: $i,SV347: $i] :
( ( ! [SY3561: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV347 @ SV858 ) @ ( c_Event_Oknows @ SV347 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV1257 @ SY3561 ) @ SV858 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2750]) ).
thf(3230,plain,
! [SV1258: $i,SV859: $i,SV348: $i] :
( ( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV348 @ SV859 ) @ SV1258 @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1258 ) )
| ( hBOOL @ ( c_in @ SV348 @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2751]) ).
thf(3231,plain,
! [SV1259: $i,SV860: $i,SV349: $i] :
( ( ! [SY3562: $i] : ( hBOOL @ ( c_in @ ( hAPP @ SV349 @ SV860 ) @ ( c_Set_Oimage @ SV349 @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SV1259 @ tc_bool ) ) @ SV1259 @ SY3562 ) @ SY3562 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2752]) ).
thf(3232,plain,
! [SV1260: $i,SV861: $i,SV350: $i] :
( ( ! [SY3563: $i,SY3564: $i,SY3565: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ SV350 @ SV861 ) @ SV1260 @ SY3563 ) )
| ~ ( hBOOL @ ( c_in @ SV861 @ SY3564 @ SY3565 ) )
| ~ ( c_lessequals @ ( c_Set_Oimage @ SV350 @ SY3564 @ SY3565 @ SY3563 ) @ SV1260 @ ( tc_fun @ SY3563 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2753]) ).
thf(3233,plain,
! [SV1261: $i,SV862: $i,SV351: $i] :
( ( ! [SY3566: $i] :
( ( SV351 = SV862 )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV351 ) @ SV1261 ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV862 ) @ SY3566 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2754]) ).
thf(3234,plain,
! [SV1262: $i,SV863: $i,SV352: $i] :
( ( ! [SY3567: $i] :
( ( hBOOL @ ( c_in @ SV352 @ SV863 @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV1262 ) @ SV352 ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SY3567 ) @ SV863 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2755]) ).
thf(3235,plain,
! [SV1263: $i,SV864: $i,SV353: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV353 ) @ SV864 ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV353 ) @ SV1263 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV864 @ SV1263 @ tc_Message_Oagent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2756]) ).
thf(3236,plain,
! [SV1264: $i,SV866: $i,SV355: $i] :
( ( ( SV355 = SV866 )
| ~ ( c_lessequals @ SV866 @ SV355 @ ( tc_fun @ SV1264 @ tc_bool ) )
| ~ ( c_lessequals @ SV355 @ SV866 @ ( tc_fun @ SV1264 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2758]) ).
thf(3237,plain,
! [SV1265: $i,SV867: $i,SV356: $i] :
( ( ( SV356 = SV867 )
| ~ ( c_lessequals @ SV867 @ SV356 @ ( tc_fun @ SV1265 @ tc_bool ) )
| ~ ( c_lessequals @ SV356 @ SV867 @ ( tc_fun @ SV1265 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2759]) ).
thf(3238,plain,
! [SV1266: $i,SV868: $i,SV357: $i] :
( ( ~ ( class_Orderings_Oorder @ SV357 )
| ( SV868 = SV1266 )
| ~ ( c_lessequals @ SV1266 @ SV868 @ SV357 )
| ~ ( c_lessequals @ SV868 @ SV1266 @ SV357 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2760]) ).
thf(3239,plain,
! [SV1267: $i,SV869: $i,SV358: $i] :
( ( ~ ( class_Orderings_Oorder @ SV358 )
| ( SV869 = SV1267 )
| ~ ( c_lessequals @ SV1267 @ SV869 @ SV358 )
| ~ ( c_lessequals @ SV869 @ SV1267 @ SV358 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2761]) ).
thf(3240,plain,
! [SV1268: $i,SV870: $i,SV359: $i] :
( ( ~ ( class_Orderings_Oorder @ SV359 )
| ( SV870 = SV1268 )
| ~ ( c_lessequals @ SV870 @ SV1268 @ SV359 )
| ~ ( c_lessequals @ SV1268 @ SV870 @ SV359 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2762]) ).
thf(3241,plain,
! [SV1269: $i,SV871: $i,SV360: $i] :
( ( c_lessequals @ ( c_List_Oset @ SV360 @ SV871 ) @ ( c_List_Oset @ ( c_List_Olist_OCons @ SV1269 @ SV360 @ SV871 ) @ SV871 ) @ ( tc_fun @ SV871 @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2763]) ).
thf(3242,plain,
! [SV1270: $i,SV872: $i,SV361: $i] :
( ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV361 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV872 @ SV1270 ) @ SV361 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2764]) ).
thf(3243,plain,
! [SV874: $i,SV363: $i] :
( ( ( ~ ( class_Orderings_Otop @ SV363 ) )
= $true )
| ( ( c_lessequals @ SV874 @ ( c_Orderings_Otop__class_Otop @ SV363 ) @ SV363 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2766]) ).
thf(3244,plain,
! [SV1271: $i,SV875: $i,SV364: $i] :
( ( ! [SY3568: $i] :
( ~ ( class_Orderings_Oorder @ SV364 )
| ( c_lessequals @ SV875 @ SV1271 @ SV364 )
| ~ ( c_lessequals @ SV875 @ SY3568 @ SV364 )
| ~ ( c_lessequals @ SY3568 @ SV1271 @ SV364 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2767]) ).
thf(3245,plain,
! [SV1272: $i,SV876: $i,SV365: $i] :
( ( ! [SY3569: $i] :
( ~ ( class_Orderings_Opreorder @ SV365 )
| ( c_lessequals @ SV876 @ SV1272 @ SV365 )
| ~ ( c_lessequals @ SY3569 @ SV1272 @ SV365 )
| ~ ( c_lessequals @ SV876 @ SY3569 @ SV365 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2768]) ).
thf(3246,plain,
! [SV1273: $i,SV879: $i,SV368: $i] :
( ( ! [SY3570: $i] :
( ( c_lessequals @ SV368 @ SV879 @ ( tc_fun @ SV1273 @ tc_bool ) )
| ~ ( c_lessequals @ SY3570 @ SV879 @ ( tc_fun @ SV1273 @ tc_bool ) )
| ~ ( c_lessequals @ SV368 @ SY3570 @ ( tc_fun @ SV1273 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2771]) ).
thf(3247,plain,
! [SV1274: $i,SV880: $i,SV369: $i] :
( ( ! [SY3571: $i] :
( ( hBOOL @ ( hAPP @ SV369 @ SV880 ) )
| ~ ( hBOOL @ ( hAPP @ SV1274 @ SV880 ) )
| ~ ( c_lessequals @ SV1274 @ SV369 @ ( tc_fun @ SY3571 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2772]) ).
thf(3248,plain,
! [SV881: $i,SV370: $i] :
( ( ( ~ ( class_Orderings_Oorder @ SV370 ) )
= $true )
| ( ( c_lessequals @ SV881 @ SV881 @ SV370 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2773]) ).
thf(3249,plain,
! [SV882: $i,SV371: $i] :
( ( ( ~ ( class_Orderings_Opreorder @ SV371 ) )
= $true )
| ( ( c_lessequals @ SV882 @ SV882 @ SV371 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2774]) ).
thf(3250,plain,
! [SV1275: $i,SV883: $i,SV372: $i] :
( ( ! [SY3572: $i] :
( ( hBOOL @ ( hAPP @ SV372 @ SV883 ) )
| ~ ( c_lessequals @ SV1275 @ SV372 @ ( tc_fun @ SY3572 @ tc_bool ) )
| ~ ( hBOOL @ ( hAPP @ SV1275 @ SV883 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2775]) ).
thf(3251,plain,
! [SV1276: $i,SV884: $i,SV373: $i] :
( ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV373 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV884 @ SV1276 ) @ SV373 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2776]) ).
thf(3252,plain,
! [SV1277: $i,SV885: $i,SV374: $i] :
( ( ! [SY3573: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV374 @ SV885 ) @ ( c_Event_Oknows @ SV374 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV1277 @ SY3573 ) @ SV885 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2777]) ).
thf(3253,plain,
! [SV1278: $i,SV886: $i,SV375: $i] :
( ( ! [SY3574: $i,SY3575: $i] :
( ( c_lessequals @ ( c_Set_Oimage @ SV375 @ SV886 @ SV1278 @ SY3574 ) @ ( c_Set_Oimage @ SV375 @ SY3575 @ SV1278 @ SY3574 ) @ ( tc_fun @ SY3574 @ tc_bool ) )
| ~ ( c_lessequals @ SV886 @ SY3575 @ ( tc_fun @ SV1278 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2778]) ).
thf(3254,plain,
! [SV1279: $i,SV887: $i,SV376: $i] :
( ( ! [SY3576: $i,SY3577: $i] :
( ~ ( c_lessequals @ SV376 @ SV887 @ ( tc_fun @ SV1279 @ tc_bool ) )
| ( c_lessequals @ ( c_Set_Oimage @ SY3576 @ SV376 @ SV1279 @ SY3577 ) @ ( c_Set_Oimage @ SY3576 @ SV887 @ SV1279 @ SY3577 ) @ ( tc_fun @ SY3577 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2779]) ).
thf(3255,plain,
! [SV1280: $i,SV888: $i,SV377: $i] :
( ( ( c_Event_Oused @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV377 @ SV888 ) @ SV1280 @ tc_Event_Oevent ) )
= ( c_Event_Oused @ SV1280 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2780]) ).
thf(3256,plain,
! [SV1281: $i,SV889: $i,SV378: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV378 )
| ( c_lessequals @ SV889 @ SV1281 @ SV378 )
| ( c_lessequals @ SV1281 @ SV889 @ SV378 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2781]) ).
thf(3257,plain,
! [SV890: $i,SV379: $i] :
( ( ( hBOOL @ ( c_in @ SV379 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV379 ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV890 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV890 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2782]) ).
thf(3258,plain,
! [SV891: $i,SV380: $i] :
( ( ( hBOOL @ ( c_in @ SV380 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV380 ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV891 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV891 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2783]) ).
thf(3259,plain,
! [SV892: $i,SV381: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV381 ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV892 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV381 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ SV892 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2784]) ).
thf(3260,plain,
! [SV1282: $i,SV893: $i,SV383: $i] :
( ( ( hBOOL @ ( c_in @ SV383 @ ( c_Message_OkeysFor @ SV893 ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV383 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV383 @ SV1282 ) @ SV893 @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2785]) ).
thf(3261,plain,
! [SV1283: $i,SV894: $i,SV384: $i] :
( ( ( hBOOL @ ( c_in @ SV384 @ ( c_Event_Oknows @ SV894 @ SV1283 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SV894 @ SV384 ) @ ( c_List_Oset @ SV1283 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2786]) ).
thf(3262,plain,
! [SV1284: $i,SV895: $i,SV385: $i] :
( ( ( hBOOL @ ( c_in @ SV385 @ ( c_Event_Oused @ SV895 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SV1284 @ SV385 ) @ ( c_List_Oset @ SV895 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2787]) ).
thf(3263,plain,
! [SV1285: $i,SV896: $i,SV386: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ ( c_Public_OpublicKey @ SV386 ) @ SV896 ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1285 ) ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2788]) ).
thf(3264,plain,
! [SV1286: $i,SV897: $i,SV387: $i] :
( ( ! [SY3578: $i,SY3579: $i] :
( ~ ( hBOOL @ ( c_in @ SV387 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV897 ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV387 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV1286 @ SY3578 @ SY3579 ) @ SV897 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2789]) ).
thf(3265,plain,
! [SV1287: $i,SV898: $i,SV388: $i] :
( ( ! [SY3580: $i,SY3581: $i,SY3582: $i,SY3583: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV388 @ SV898 @ SV1287 ) @ SY3580 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV388 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV388 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV898 ) @ ( c_Message_Omsg_ONonce @ SY3581 ) ) ) ) @ ( c_List_Oset @ SY3580 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3582 @ SV388 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV388 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3581 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV898 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3583 ) @ SV1287 ) ) ) ) ) @ ( c_List_Oset @ SY3580 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV388 = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SY3580 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2790]) ).
thf(3266,plain,
! [SV1288: $i,SV899: $i,SV389: $i] :
( ( ! [SY3584: $i] :
( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV389 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV389 ) @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1 @ SV389 @ SV899 @ SV1288 @ SY3584 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV899 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1288 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV899 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1288 ) @ ( c_Message_Omsg_OAgent @ SV389 ) ) ) ) ) ) ) ) @ ( c_List_Oset @ SY3584 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SY3584 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SV899 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV899 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1288 ) @ ( c_Message_Omsg_OAgent @ SV389 ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY3584 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2791]) ).
thf(3267,plain,
! [SV1289: $i,SV900: $i,SV390: $i] :
( ( ( hBOOL @ ( c_in @ SV390 @ ( c_Event_Oknows @ SV900 @ SV1289 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OGets @ SV900 @ SV390 ) @ ( c_List_Oset @ SV1289 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV900 = c_Message_Oagent_OSpy ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2792]) ).
thf(3268,plain,
! [SV1290: $i,SV901: $i,SV391: $i] :
( ( ! [SY3585: $i,SY3586: $i,SY3587: $i] :
( ( SV391
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV901 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1290 ) @ ( c_Message_Omsg_OAgent @ SY3585 ) ) ) )
| ~ ( hBOOL @ ( c_in @ SY3586 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SY3585 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3585 ) @ ( c_Message_Omsg_OMPair @ SY3587 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV901 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1290 ) @ SV391 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY3586 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2793]) ).
thf(3269,plain,
! [SV1291: $i,SV902: $i,SV392: $i] :
( ( ! [SY3588: $i,SY3589: $i,SY3590: $i,SY3591: $i,SY3592: $i,SY3593: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV392 @ SV902 @ ( c_Message_Omsg_OCrypt @ SV1291 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3588 ) @ ( c_Message_Omsg_ONonce @ SY3588 ) ) ) ) @ SY3589 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3590 @ SV392 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV392 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3591 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV902 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1291 ) @ SY3592 ) ) ) ) ) @ ( c_List_Oset @ SY3589 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3593 @ SV392 @ ( c_Message_Omsg_OCrypt @ SV1291 @ ( c_Message_Omsg_ONonce @ SY3588 ) ) ) @ ( c_List_Oset @ SY3589 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1291 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SY3589 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2794]) ).
thf(3270,plain,
! [SV1292: $i,SV903: $i,SV393: $i] :
( ( ! [SY3594: $i,SY3595: $i,SY3596: $i,SY3597: $i] :
( ~ ( hBOOL @ ( c_in @ SV393 @ ( 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 @ SV903 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1292 @ ( c_Message_Omsg_OCrypt @ SY3594 @ ( c_Message_Omsg_OMPair @ SY3595 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3596 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV393 ) @ SY3597 ) ) ) ) ) @ ( c_List_Oset @ SV903 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2795]) ).
thf(3271,plain,
! [SV1293: $i,SV904: $i,SV394: $i] :
( ( ! [SY3598: $i,SY3599: $i,SY3600: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV394 @ SV904 @ ( c_Message_Omsg_OCrypt @ SV1293 @ ( c_Message_Omsg_ONonce @ SY3598 ) ) ) @ SY3599 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3600 @ SV394 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV394 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1293 ) @ ( c_Message_Omsg_OAgent @ SV904 ) ) ) ) @ ( c_List_Oset @ SY3599 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1293 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SY3598 ) @ ( c_Event_Oused @ SY3599 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SY3599 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2796]) ).
thf(3272,plain,
! [SV1294: $i,SV905: $i,SV395: $i] :
( ( ! [SY3601: $i,SY3602: $i,SY3603: $i,SY3604: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV395 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV905 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV1294 ) ) ) ) @ SY3601 @ 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 @ SY3602 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3602 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV395 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3603 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1294 ) @ SY3604 ) ) ) ) ) @ ( c_List_Oset @ SY3601 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3603 @ SY3602 @ ( c_Message_Omsg_OCrypt @ SV1294 @ ( c_Message_Omsg_ONonce @ SV905 ) ) ) @ ( c_List_Oset @ SY3601 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SY3601 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2797]) ).
thf(3273,plain,
! [SV1295: $i,SV906: $i,SV396: $i] :
( ( ! [SY3605: $i,SY3606: $i,SY3607: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV396 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV396 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV906 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1295 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3605 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1295 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3605 ) @ ( c_Message_Omsg_OAgent @ SV396 ) ) ) ) ) ) ) ) @ SY3606 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3607 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV396 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1295 ) @ ( c_Message_Omsg_ONonce @ SV906 ) ) ) ) @ ( c_List_Oset @ SY3606 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SY3605 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SY3605 ) @ ( c_Event_Oused @ SY3606 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SY3606 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2798]) ).
thf(3274,plain,
! [SV1296: $i,SV907: $i,SV397: $i] :
( ( ! [SY3608: $i,SY3609: $i,SY3610: $i] :
( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV397 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV397 ) @ ( c_Message_Omsg_OMPair @ SV907 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1296 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3608 ) @ SY3609 ) ) ) ) ) @ ( c_List_Oset @ SY3610 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SY3610 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SV397 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV397 ) @ ( c_Message_Omsg_OMPair @ SV907 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1296 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3608 ) @ SY3609 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY3610 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2799]) ).
thf(3275,plain,
! [SV1297: $i,SV908: $i,SV398: $i] :
( ( ! [SY3611: $i,SY3612: $i,SY3613: $i,SY3614: $i] :
( ( hBOOL @ ( c_in @ SV398 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV908 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1297 @ ( 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 @ SV908 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3611 @ SY3612 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3612 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3613 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3614 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1297 ) @ SV398 ) ) ) ) ) @ ( c_List_Oset @ SV908 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2800]) ).
thf(3276,plain,
! [SV1298: $i,SV909: $i,SV399: $i] :
( ( ! [SY3615: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV399 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV399 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV909 ) @ ( c_Message_Omsg_ONonce @ SV1298 ) ) ) ) @ SY3615 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1298 ) @ ( c_Event_Oused @ SY3615 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY3615 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2801]) ).
thf(3277,plain,
! [SV910: $i,SV400: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV400 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV910 ) ) ) @ tc_nat ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV910 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ SV400 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV400 ) @ ( c_Event_Oused @ SV910 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2802]) ).
thf(3278,plain,
! [SV1299: $i,SV911: $i,SV401: $i] :
( ( ! [SY3616: $i,SY3617: $i,SY3618: $i,SY3619: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV401 @ SV911 @ SV1299 ) @ SY3616 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV401 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV401 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV911 ) @ ( c_Message_Omsg_ONonce @ SY3617 ) ) ) ) @ ( c_List_Oset @ SY3616 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3618 @ SV401 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV401 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3617 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV911 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3619 ) @ SV1299 ) ) ) ) ) @ ( c_List_Oset @ SY3616 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV401 = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_in @ SY3616 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2803]) ).
thf(3279,plain,
! [SV1300: $i,SV912: $i,SV402: $i] :
( ( ! [SY3620: $i,SY3621: $i,SY3622: $i,SY3623: $i,SY3624: $i,SY3625: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV402 @ SV912 @ ( c_Message_Omsg_OCrypt @ SV1300 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3620 ) @ ( c_Message_Omsg_ONonce @ SY3620 ) ) ) ) @ SY3621 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3622 @ SV402 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV402 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3623 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV912 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1300 ) @ SY3624 ) ) ) ) ) @ ( c_List_Oset @ SY3621 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3625 @ SV402 @ ( c_Message_Omsg_OCrypt @ SV1300 @ ( c_Message_Omsg_ONonce @ SY3620 ) ) ) @ ( c_List_Oset @ SY3621 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1300 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SY3621 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2804]) ).
thf(3280,plain,
! [SV1301: $i,SV913: $i,SV403: $i] :
( ( ! [SY3626: $i,SY3627: $i,SY3628: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV403 @ SV913 @ ( c_Message_Omsg_OCrypt @ SV1301 @ ( c_Message_Omsg_ONonce @ SY3626 ) ) ) @ SY3627 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3628 @ SV403 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV403 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1301 ) @ ( c_Message_Omsg_OAgent @ SV913 ) ) ) ) @ ( c_List_Oset @ SY3627 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1301 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SY3626 ) @ ( c_Event_Oused @ SY3627 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY3627 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2805]) ).
thf(3281,plain,
! [SV1302: $i,SV914: $i,SV404: $i] :
( ( ! [SY3629: $i,SY3630: $i,SY3631: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV404 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV404 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV914 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1302 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3629 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1302 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3629 ) @ ( c_Message_Omsg_OAgent @ SV404 ) ) ) ) ) ) ) ) @ SY3630 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3631 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV404 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1302 ) @ ( c_Message_Omsg_ONonce @ SV914 ) ) ) ) @ ( c_List_Oset @ SY3630 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SY3629 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SY3629 ) @ ( c_Event_Oused @ SY3630 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY3630 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2806]) ).
thf(3282,plain,
! [SV1303: $i,SV915: $i,SV407: $i] :
( ( ! [SY3632: $i] :
( ( hBOOL @ ( c_in @ SV407 @ ( c_Event_Oknows @ SV915 @ SV1303 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV915 @ SY3632 @ SV407 ) @ ( c_List_Oset @ SV1303 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2807]) ).
thf(3283,plain,
! [SV1304: $i,SV916: $i,SV409: $i] :
( ( ( hBOOL @ ( c_in @ SV409 @ ( c_Message_Oanalz @ SV916 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV1304 @ SV409 ) @ ( c_Message_Oanalz @ SV916 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2808]) ).
thf(3284,plain,
! [SV1305: $i,SV917: $i,SV410: $i] :
( ( ( hBOOL @ ( c_in @ SV410 @ ( c_Message_Oanalz @ SV917 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV410 @ SV1305 ) @ ( c_Message_Oanalz @ SV917 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2809]) ).
thf(3285,plain,
! [SV1306: $i,SV918: $i,SV411: $i] :
( ( ( hBOOL @ ( c_in @ SV411 @ ( c_Message_Oparts @ SV918 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV1306 @ SV411 ) @ ( c_Message_Oparts @ SV918 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2810]) ).
thf(3286,plain,
! [SV1307: $i,SV919: $i,SV412: $i] :
( ( ( hBOOL @ ( c_in @ SV412 @ ( c_Message_Oparts @ SV919 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV412 @ SV1307 ) @ ( c_Message_Oparts @ SV919 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2811]) ).
thf(3287,plain,
! [SV1308: $i,SV920: $i,SV413: $i] :
( ( ( hBOOL @ ( c_in @ SV413 @ ( c_Event_Oused @ SV920 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV1308 @ SV413 ) @ ( c_Event_Oused @ SV920 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2812]) ).
thf(3288,plain,
! [SV1309: $i,SV921: $i,SV414: $i] :
( ( ( hBOOL @ ( c_in @ SV414 @ ( c_Event_Oused @ SV921 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV414 @ SV1309 ) @ ( c_Event_Oused @ SV921 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2813]) ).
thf(3289,plain,
! [SV1310: $i,SV922: $i,SV415: $i] :
( ( ( hBOOL @ ( c_in @ SV415 @ ( c_Message_Oanalz @ SV922 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1310 ) @ ( c_Message_Oanalz @ SV922 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1310 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1310 @ SV415 ) @ ( c_Message_Oanalz @ SV922 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2814]) ).
thf(3290,plain,
! [SV923: $i,SV416: $i] :
( ( ( hBOOL @ ( c_in @ SV416 @ ( c_Message_Oparts @ SV923 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV416 @ SV923 @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2815]) ).
thf(3291,plain,
! [SV924: $i,SV417: $i] :
( ( ( hBOOL @ ( c_in @ SV417 @ ( c_Message_Oanalz @ SV924 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV417 @ SV924 @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2816]) ).
thf(3292,plain,
! [SV1311: $i,SV925: $i,SV418: $i] :
( ( ! [SY3633: $i] :
( ( hBOOL @ ( c_in @ SV418 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV925 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1311 @ SY3633 @ SV418 ) @ ( c_List_Oset @ SV925 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2817]) ).
thf(3293,plain,
! [SV1312: $i,SV926: $i,SV419: $i] :
( ( ! [SY3634: $i] :
( ( hBOOL @ ( c_in @ SV419 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV926 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1312 @ SY3634 @ SV419 ) @ ( c_List_Oset @ SV926 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2818]) ).
thf(3294,plain,
! [SV927: $i,SV420: $i] :
( ( ( hBOOL @ ( c_in @ SV420 @ ( c_Event_Oused @ SV927 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV420 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV927 ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2819]) ).
thf(3295,plain,
! [SV1313: $i,SV928: $i,SV421: $i] :
( ( ! [SY3635: $i,SY3636: $i,SY3637: $i,SY3638: $i,SY3639: $i] :
( ( hBOOL @ ( c_in @ SV421 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV928 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1313 @ SY3635 @ ( c_Message_Omsg_OCrypt @ SY3636 @ ( c_Message_Omsg_OMPair @ SY3637 @ ( c_Message_Omsg_OMPair @ SY3638 @ ( c_Message_Omsg_OMPair @ SY3639 @ SV421 ) ) ) ) ) @ ( c_List_Oset @ SV928 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2820]) ).
thf(3296,plain,
! [SV1314: $i,SV929: $i,SV424: $i] :
( ( ! [SY3640: $i,SY3641: $i,SY3642: $i,SY3643: $i] :
( ( SV424
= ( hAPP @ c_Public_OshrK @ SV929 ) )
| ~ ( hBOOL @ ( c_in @ SV1314 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV929 @ ( c_Message_Omsg_OCrypt @ SV424 @ ( c_Message_Omsg_OMPair @ SY3640 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3641 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3642 ) @ SY3643 ) ) ) ) ) @ ( c_List_Oset @ SV1314 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2821]) ).
thf(3297,plain,
! [SV1315: $i,SV930: $i,SV425: $i] :
( ( ( hBOOL @ ( c_in @ SV425 @ ( c_Message_Oparts @ SV930 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1315 @ SV425 ) @ ( c_Message_Oparts @ SV930 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2822]) ).
thf(3298,plain,
! [SV1316: $i,SV931: $i,SV426: $i] :
( ( ( hBOOL @ ( c_in @ SV426 @ ( c_Message_Oanalz @ SV931 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV1316 ) ) @ ( c_Message_Oanalz @ SV931 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1316 ) @ SV426 ) @ ( c_Message_Oanalz @ SV931 ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2823]) ).
thf(3299,plain,
! [SV1317: $i,SV932: $i,SV427: $i] :
( ( ! [SY3644: $i] :
( ( hBOOL @ ( c_in @ SV427 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV932 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1317 @ SY3644 @ SV427 ) @ ( c_List_Oset @ SV932 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2824]) ).
thf(3300,plain,
! [SV933: $i,SV428: $i] :
( ( ( hBOOL @ ( c_in @ SV428 @ ( c_Message_Oparts @ SV933 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV428 @ ( c_Message_Oparts @ ( c_Message_Oparts @ SV933 ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2825]) ).
thf(3301,plain,
! [SV1318: $i,SV934: $i,SV429: $i] :
( ( ! [SY3645: $i,SY3646: $i,SY3647: $i,SY3648: $i,SY3649: $i,SY3650: $i,SY3651: $i] :
( ( SV429 = SV934 )
| ~ ( hBOOL @ ( c_in @ SV1318 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV934 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV934 ) @ ( c_Message_Omsg_OMPair @ SY3645 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3646 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3647 ) @ SY3648 ) ) ) ) ) @ ( c_List_Oset @ SV1318 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV429 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV429 ) @ ( c_Message_Omsg_OMPair @ SY3649 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3650 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3647 ) @ SY3651 ) ) ) ) ) @ ( c_List_Oset @ SV1318 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2826]) ).
thf(3302,plain,
! [SV1319: $i,SV935: $i,SV430: $i] :
( ( ! [SY3652: $i,SY3653: $i,SY3654: $i,SY3655: $i,SY3656: $i,SY3657: $i,SY3658: $i] :
( ( SV430 = SV935 )
| ~ ( hBOOL @ ( c_in @ SV1319 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3652 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3652 ) @ ( c_Message_Omsg_OMPair @ SV935 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3653 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3654 ) @ SY3655 ) ) ) ) ) @ ( c_List_Oset @ SV1319 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3656 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3656 ) @ ( c_Message_Omsg_OMPair @ SV430 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3657 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3654 ) @ SY3658 ) ) ) ) ) @ ( c_List_Oset @ SV1319 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2827]) ).
thf(3303,plain,
! [SV1320: $i,SV936: $i,SV431: $i] :
( ( ! [SY3659: $i,SY3660: $i,SY3661: $i,SY3662: $i,SY3663: $i,SY3664: $i,SY3665: $i] :
( ( SV431 = SV936 )
| ~ ( hBOOL @ ( c_in @ SV1320 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3659 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3659 ) @ ( c_Message_Omsg_OMPair @ SY3660 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV936 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3661 ) @ SY3662 ) ) ) ) ) @ ( c_List_Oset @ SV1320 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3663 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3663 ) @ ( c_Message_Omsg_OMPair @ SY3664 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV431 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3661 ) @ SY3665 ) ) ) ) ) @ ( c_List_Oset @ SV1320 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2828]) ).
thf(3304,plain,
! [SV1321: $i,SV937: $i,SV432: $i] :
( ( ! [SY3666: $i,SY3667: $i,SY3668: $i,SY3669: $i,SY3670: $i,SY3671: $i,SY3672: $i] :
( ( SV432 = SV937 )
| ~ ( hBOOL @ ( c_in @ SV1321 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3666 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3666 ) @ ( c_Message_Omsg_OMPair @ SY3667 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3668 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3669 ) @ SV937 ) ) ) ) ) @ ( c_List_Oset @ SV1321 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3670 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3670 ) @ ( c_Message_Omsg_OMPair @ SY3671 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3672 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3669 ) @ SV432 ) ) ) ) ) @ ( c_List_Oset @ SV1321 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2829]) ).
thf(3305,plain,
! [SV1322: $i,SV938: $i,SV433: $i] :
( ( ! [SY3673: $i,SY3674: $i,SY3675: $i] :
( ( hBOOL @ ( c_in @ SV433 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV938 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1322 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1322 ) @ ( c_Message_Omsg_OMPair @ SY3673 @ ( c_Message_Omsg_OMPair @ SY3674 @ ( c_Message_Omsg_OMPair @ SV433 @ SY3675 ) ) ) ) ) @ ( c_List_Oset @ SV938 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2830]) ).
thf(3306,plain,
! [SV1323: $i,SV939: $i,SV434: $i] :
( ( ! [SY3676: $i] :
( ( hBOOL @ ( c_in @ SV434 @ ( c_Event_Oused @ SV939 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1323 @ SY3676 @ SV434 ) @ ( c_List_Oset @ SV939 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2831]) ).
thf(3307,plain,
! [SV941: $i,SV436: $i] :
( ( ( hBOOL @ ( c_in @ SV436 @ ( c_Message_Oanalz @ SV941 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV436 @ ( c_Message_Oanalz @ ( c_Message_Oanalz @ SV941 ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2833]) ).
thf(3308,plain,
! [SV1324: $i,SV942: $i,SV437: $i] :
( ( ( hBOOL @ ( c_in @ SV437 @ SV942 @ SV1324 ) )
| ~ ( hBOOL @ ( hAPP @ SV942 @ SV437 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2834]) ).
thf(3309,plain,
! [SV1325: $i,SV943: $i,SV438: $i] :
( ( ( hBOOL @ ( hAPP @ SV438 @ SV943 ) )
| ~ ( hBOOL @ ( c_in @ SV943 @ SV438 @ SV1325 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2835]) ).
thf(3310,plain,
! [SV1326: $i,SV944: $i,SV439: $i] :
( ( ! [SY3677: $i,SY3678: $i,SY3679: $i,SY3680: $i] :
( ( hBOOL @ ( c_in @ SV439 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV944 ) ) @ tc_Message_Omsg ) )
| ( SV439
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1326 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3677 ) @ ( c_Message_Omsg_OAgent @ SY3678 ) ) ) )
| ~ ( hBOOL @ ( c_in @ SV944 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3679 @ SY3678 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3678 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3680 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1326 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3677 ) @ SV439 ) ) ) ) ) @ ( c_List_Oset @ SV944 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2836]) ).
thf(3311,plain,
! [SV1327: $i,SV945: $i,SV440: $i] :
( ( ! [SY3681: $i,SY3682: $i,SY3683: $i,SY3684: $i] :
( ( SV440
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV945 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1327 ) @ ( c_Message_Omsg_OAgent @ SY3681 ) ) ) )
| ~ ( hBOOL @ ( c_in @ SY3682 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3681 @ ( c_Message_Omsg_OCrypt @ SY3683 @ ( c_Message_Omsg_OMPair @ SY3684 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV945 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1327 ) @ SV440 ) ) ) ) ) @ ( c_List_Oset @ SY3682 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2837]) ).
thf(3312,plain,
! [SV948: $i,SV443: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV443 @ ( c_Message_Oanalz @ SV948 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV443 @ ( c_Message_Oparts @ SV948 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2840]) ).
thf(3313,plain,
! [SV949: $i,SV444: $i] :
( ( ( hBOOL @ ( c_in @ SV444 @ ( c_Message_Oparts @ SV949 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV444 @ ( c_Message_Oanalz @ SV949 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2841]) ).
thf(3314,plain,
! [SV950: $i,SV445: $i] :
( ( ( hBOOL @ ( c_in @ SV445 @ ( c_Message_Oparts @ SV950 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV445 @ ( c_Message_Oanalz @ SV950 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2842]) ).
thf(3315,plain,
! [SV951: $i,SV446: $i] :
( ( ( class_Lattices_Oupper__semilattice @ ( tc_fun @ SV446 @ SV951 ) )
= $true )
| ( ( ~ ( class_Lattices_Olattice @ SV951 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2843]) ).
thf(3316,plain,
! [SV952: $i,SV447: $i] :
( ( ( class_Lattices_Obounded__lattice @ ( tc_fun @ SV447 @ SV952 ) )
= $true )
| ( ( ~ ( class_Lattices_Obounded__lattice @ SV952 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2844]) ).
thf(3317,plain,
! [SV953: $i,SV448: $i] :
( ( ( class_Lattices_Oboolean__algebra @ ( tc_fun @ SV448 @ SV953 ) )
= $true )
| ( ( ~ ( class_Lattices_Oboolean__algebra @ SV953 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2845]) ).
thf(3318,plain,
! [SV954: $i,SV449: $i] :
( ( ( class_Orderings_Opreorder @ ( tc_fun @ SV449 @ SV954 ) )
= $true )
| ( ( ~ ( class_Orderings_Opreorder @ SV954 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2846]) ).
thf(3319,plain,
! [SV955: $i,SV450: $i] :
( ( ( class_Lattices_Olattice @ ( tc_fun @ SV450 @ SV955 ) )
= $true )
| ( ( ~ ( class_Lattices_Olattice @ SV955 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2847]) ).
thf(3320,plain,
! [SV956: $i,SV451: $i] :
( ( ( class_Orderings_Oorder @ ( tc_fun @ SV451 @ SV956 ) )
= $true )
| ( ( ~ ( class_Orderings_Oorder @ SV956 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2848]) ).
thf(3321,plain,
! [SV957: $i,SV452: $i] :
( ( ( class_Orderings_Otop @ ( tc_fun @ SV452 @ SV957 ) )
= $true )
| ( ( ~ ( class_Orderings_Otop @ SV957 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2849]) ).
thf(3322,plain,
! [SV958: $i,SV453: $i] :
( ( ( class_Orderings_Obot @ ( tc_fun @ SV453 @ SV958 ) )
= $true )
| ( ( ~ ( class_Orderings_Obot @ SV958 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2850]) ).
thf(3323,plain,
! [SV959: $i,SV454: $i] :
( ( ( class_HOL_Ouminus @ ( tc_fun @ SV454 @ SV959 ) )
= $true )
| ( ( ~ ( class_HOL_Ouminus @ SV959 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2851]) ).
thf(3324,plain,
! [SV960: $i,SV455: $i] :
( ( ( class_HOL_Oord @ ( tc_fun @ SV455 @ SV960 ) )
= $true )
| ( ( ~ ( class_HOL_Oord @ SV960 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2852]) ).
thf(3325,plain,
! [SV1328: $i,SV962: $i,SV457: $i] :
( ( ( SV457 = SV962 )
| ~ ( c_fequal @ SV457 @ SV962 @ SV1328 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2854]) ).
thf(3326,plain,
! [SV963: $i,SV458: $i] :
( ( ( c_Message_Omsg_ONonce @ SV458 )
= ( hAPP @ c_Message_Omsg_OKey @ SV963 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2855]) ).
thf(3327,plain,
! [SV964: $i,SV459: $i] :
( ( ( hAPP @ c_Message_Omsg_OKey @ SV459 )
= ( c_Message_Omsg_ONonce @ SV964 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2856]) ).
thf(3328,plain,
! [SV1329: $i,SV965: $i,SV460: $i] :
( ( ! [SY3685: $i] :
( ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV460 ) @ SV965 ) )
!= ( hAPP @ ( c_Public_OpublicKey @ SV1329 ) @ SY3685 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2857]) ).
thf(3329,plain,
! [SV966: $i,SV461: $i] :
( ( ( hAPP @ c_Message_Omsg_OKey @ SV461 )
= ( c_Message_Omsg_OAgent @ SV966 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2858]) ).
thf(3330,plain,
! [SV1330: $i,SV967: $i,SV462: $i] :
( ( ( c_List_Olist_OCons @ SV462 @ SV967 @ SV1330 )
!= SV967 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2859]) ).
thf(3331,plain,
! [SV1331: $i,SV968: $i,SV464: $i] :
( ( ( c_List_Olist_ONil @ SV464 )
!= ( c_List_Olist_OCons @ SV968 @ SV1331 @ SV464 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2861]) ).
thf(3332,plain,
! [SV1332: $i,SV969: $i,SV465: $i] :
( ( ( c_List_Olist_OCons @ SV465 @ SV969 @ SV1332 )
!= ( c_List_Olist_ONil @ SV1332 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2862]) ).
thf(3333,plain,
! [SV1333: $i,SV970: $i,SV466: $i] :
( ( ! [SY3686: $i] :
( ( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV466 @ tc_bool ) )
!= ( c_Set_Oimage @ SV970 @ SV1333 @ SY3686 @ SV466 ) )
| ( SV1333
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY3686 @ tc_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2863]) ).
thf(3334,plain,
! [SV1334: $i,SV971: $i,SV467: $i] :
( ( ! [SY3687: $i] :
( ( ( c_Message_Omsg_OMPair @ SV467 @ SV971 )
!= ( c_Message_Omsg_OMPair @ SV1334 @ SY3687 ) )
| ( SV467 = SV1334 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2864]) ).
thf(3335,plain,
! [SV972: $i,SV468: $i] :
( ( ( c_Message_Omsg_ONonce @ SV468 )
= ( c_Message_Omsg_OAgent @ SV972 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2865]) ).
thf(3336,plain,
! [SV1335: $i,SV973: $i,SV469: $i] :
( ( ! [SY3688: $i,SY3689: $i] :
( ( ( c_Set_Oinsert @ SV469 @ ( c_Set_Oinsert @ SV973 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1335 @ tc_bool ) ) @ SV1335 ) @ SV1335 )
!= ( c_Set_Oinsert @ SY3688 @ ( c_Set_Oinsert @ SY3689 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1335 @ tc_bool ) ) @ SV1335 ) @ SV1335 ) )
| ( SV469 = SY3689 )
| ( SV469 = SY3688 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2866]) ).
thf(3337,plain,
! [SV1336: $i,SV974: $i,SV470: $i] :
( ( ! [SY3690: $i] :
( ( c_Message_Omsg_OMPair @ SV470 @ SV974 )
!= ( c_Message_Omsg_OCrypt @ SV1336 @ SY3690 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2867]) ).
thf(3338,plain,
! [SV1337: $i,SV975: $i,SV471: $i] :
( ( ( ( c_HOL_Ouminus__class_Ouminus @ SV471 @ ( tc_fun @ SV975 @ tc_bool ) )
!= ( c_HOL_Ouminus__class_Ouminus @ SV1337 @ ( tc_fun @ SV975 @ tc_bool ) ) )
| ( SV471 = SV1337 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2868]) ).
thf(3339,plain,
! [SV1338: $i,SV976: $i,SV472: $i] :
( ( ( hAPP @ c_Message_Omsg_OKey @ SV472 )
!= ( c_Message_Omsg_OCrypt @ SV976 @ SV1338 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2869]) ).
thf(3340,plain,
! [SV1339: $i,SV977: $i,SV473: $i] :
( ( ! [SY3691: $i] :
( ( ( c_Event_Oevent_OGets @ SV473 @ SV977 )
!= ( c_Event_Oevent_OGets @ SV1339 @ SY3691 ) )
| ( SV473 = SV1339 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2870]) ).
thf(3341,plain,
! [SV1340: $i,SV978: $i,SV474: $i] :
( ( SV474
!= ( c_List_Olist_OCons @ SV978 @ SV474 @ SV1340 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2871]) ).
thf(3342,plain,
! [SV979: $i,SV475: $i] :
( ( ( c_Message_Omsg_OAgent @ SV475 )
= ( hAPP @ c_Message_Omsg_OKey @ SV979 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2872]) ).
thf(3343,plain,
! [SV980: $i,SV476: $i] :
( ( ( c_Message_Omsg_OAgent @ SV476 )
= ( c_Message_Omsg_ONonce @ SV980 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2873]) ).
thf(3344,plain,
! [SV1341: $i,SV981: $i,SV477: $i] :
( ( ! [SY3692: $i] :
( ( ( hAPP @ ( c_Public_OpublicKey @ SV477 ) @ SV981 )
!= ( hAPP @ ( c_Public_OpublicKey @ SV1341 ) @ SY3692 ) )
| ( SV477 = SV1341 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2874]) ).
thf(3345,plain,
! [SV1342: $i,SV982: $i,SV478: $i] :
( ( ( c_Message_Omsg_OAgent @ SV478 )
!= ( c_Message_Omsg_OCrypt @ SV982 @ SV1342 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2875]) ).
thf(3346,plain,
! [SV1343: $i,SV983: $i,SV479: $i] :
( ( ! [SY3693: $i,SY3694: $i] :
( ( ( c_List_Olist_OCons @ SV479 @ SV983 @ SV1343 )
!= ( c_List_Olist_OCons @ SY3693 @ SY3694 @ SV1343 ) )
| ( SV983 = SY3694 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2876]) ).
thf(3347,plain,
! [SV1344: $i,SV984: $i,SV480: $i] :
( ( ( c_Message_Omsg_ONonce @ SV480 )
!= ( c_Message_Omsg_OMPair @ SV984 @ SV1344 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2877]) ).
thf(3348,plain,
! [SV1345: $i,SV985: $i,SV481: $i] :
( ( ! [SY3695: $i,SY3696: $i] :
( ( c_Event_Oevent_ONotes @ SV481 @ SV985 )
!= ( c_Event_Oevent_OSays @ SV1345 @ SY3695 @ SY3696 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2878]) ).
thf(3349,plain,
! [SV1346: $i,SV986: $i,SV482: $i] :
( ( ( c_Message_Omsg_OCrypt @ SV482 @ SV986 )
!= ( hAPP @ c_Message_Omsg_OKey @ SV1346 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2879]) ).
thf(3350,plain,
! [SV1347: $i,SV987: $i,SV483: $i] :
( ( ! [SY3697: $i] :
( ( hAPP @ ( c_Public_OpublicKey @ SV483 ) @ SV987 )
!= ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV1347 ) @ SY3697 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2880]) ).
thf(3351,plain,
! [SV1348: $i,SV988: $i,SV484: $i] :
( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV484 @ SV988 @ ( tc_fun @ SV1348 @ tc_bool ) )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1348 @ tc_bool ) ) )
| ( SV988
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1348 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2881]) ).
thf(3352,plain,
! [SV1349: $i,SV989: $i,SV485: $i] :
( ( ( c_Message_Omsg_OMPair @ SV485 @ SV989 )
!= ( c_Message_Omsg_ONonce @ SV1349 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2882]) ).
thf(3353,plain,
! [SV1350: $i,SV990: $i,SV486: $i] :
( ( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV486 @ tc_bool ) )
!= ( c_Set_Oinsert @ SV990 @ SV1350 @ SV486 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2883]) ).
thf(3354,plain,
! [SV1351: $i,SV991: $i,SV487: $i] :
( ( ( ( c_Message_Oanalz @ SV487 )
!= ( c_Message_Oanalz @ SV991 ) )
| ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV1351 @ SV487 @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV1351 @ SV991 @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2884]) ).
thf(3355,plain,
! [SV1352: $i,SV992: $i,SV488: $i] :
( ( ! [SY3698: $i] :
( ( c_Event_Oevent_ONotes @ SV488 @ SV992 )
!= ( c_Event_Oevent_OGets @ SV1352 @ SY3698 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2885]) ).
thf(3356,plain,
! [SV1353: $i,SV993: $i,SV489: $i] :
( ( ! [SY3699: $i] :
( ( ( c_Message_Omsg_OMPair @ SV489 @ SV993 )
!= ( c_Message_Omsg_OMPair @ SV1353 @ SY3699 ) )
| ( SV993 = SY3699 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2886]) ).
thf(3357,plain,
! [SV1354: $i,SV994: $i,SV490: $i] :
( ( ! [SY3700: $i] :
( ( ( c_Event_Oevent_ONotes @ SV490 @ SV994 )
!= ( c_Event_Oevent_ONotes @ SV1354 @ SY3700 ) )
| ( SV994 = SY3700 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2887]) ).
thf(3358,plain,
! [SV1355: $i,SV995: $i,SV491: $i] :
( ( ! [SY3701: $i] :
( ( ( c_Message_Omsg_OCrypt @ SV491 @ SV995 )
!= ( c_Message_Omsg_OCrypt @ SV1355 @ SY3701 ) )
| ( SV995 = SY3701 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2888]) ).
thf(3359,plain,
! [SV996: $i,SV493: $i] :
( ( ( ( hAPP @ c_Public_OshrK @ SV493 )
!= ( hAPP @ c_Public_OshrK @ SV996 ) )
= $true )
| ( ( SV493 = SV996 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2890]) ).
thf(3360,plain,
! [SV997: $i,SV494: $i] :
( ( ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ c_Public_Okeymode_OEncryption ) @ SV494 ) )
= ( hAPP @ c_Public_OshrK @ SV997 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2891]) ).
thf(3361,plain,
! [SV1356: $i,SV998: $i,SV495: $i] :
( ( ! [SY3702: $i] :
( ( ( c_Set_Oimage @ SV495 @ SV998 @ SV1356 @ SY3702 )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SY3702 @ tc_bool ) ) )
| ( SV998
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1356 @ tc_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2892]) ).
thf(3362,plain,
! [SV1357: $i,SV999: $i,SV496: $i] :
( ( ~ ( class_Lattices_Oboolean__algebra @ SV496 )
| ( ( c_HOL_Ouminus__class_Ouminus @ SV999 @ SV496 )
!= ( c_HOL_Ouminus__class_Ouminus @ SV1357 @ SV496 ) )
| ( SV999 = SV1357 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2893]) ).
thf(3363,plain,
! [SV1358: $i,SV1000: $i,SV498: $i] :
( ( ( hAPP @ ( c_Public_OpublicKey @ SV498 ) @ SV1000 )
!= ( hAPP @ c_Public_OshrK @ SV1358 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2895]) ).
thf(3364,plain,
! [SV1359: $i,SV1001: $i,SV499: $i] :
( ( ! [SY3703: $i,SY3704: $i,SY3705: $i] :
( ( ( c_Event_Oevent_OSays @ SV499 @ SV1001 @ SV1359 )
!= ( c_Event_Oevent_OSays @ SY3703 @ SY3704 @ SY3705 ) )
| ( SV1359 = SY3705 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2896]) ).
thf(3365,plain,
! [SV1360: $i,SV1002: $i,SV500: $i] :
( ( ! [SY3706: $i] :
( ( ( c_Message_Omsg_OCrypt @ SV500 @ SV1002 )
!= ( c_Message_Omsg_OCrypt @ SV1360 @ SY3706 ) )
| ( SV500 = SV1360 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2897]) ).
thf(3366,plain,
! [SV1361: $i,SV1003: $i,SV501: $i] :
( ( ! [SY3707: $i] :
( ( c_Event_Oevent_OGets @ SV501 @ SV1003 )
!= ( c_Event_Oevent_ONotes @ SV1361 @ SY3707 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2898]) ).
thf(3367,plain,
! [SV1004: $i,SV502: $i] :
( ( ( ( c_List_Oset @ SV502 @ SV1004 )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1004 @ tc_bool ) ) )
= $true )
| ( ( SV502
= ( c_List_Olist_ONil @ SV1004 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2899]) ).
thf(3368,plain,
! [SV1362: $i,SV1005: $i,SV503: $i] :
( ( ( c_Message_Omsg_OCrypt @ SV503 @ SV1005 )
!= ( c_Message_Omsg_OAgent @ SV1362 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2900]) ).
thf(3369,plain,
! [SV1363: $i,SV1006: $i,SV504: $i] :
( ( ~ ( class_Lattices_Oupper__semilattice @ SV504 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV1006 @ SV1363 @ SV504 )
!= SV1363 )
| ( c_lessequals @ SV1006 @ SV1363 @ SV504 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2901]) ).
thf(3370,plain,
! [SV1364: $i,SV1007: $i,SV505: $i] :
( ( ! [SY3708: $i,SY3709: $i] :
( ( c_Event_Oevent_OSays @ SV505 @ SV1007 @ SV1364 )
!= ( c_Event_Oevent_OGets @ SY3708 @ SY3709 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2902]) ).
thf(3371,plain,
! [SV1365: $i,SV1008: $i,SV506: $i] :
( ( ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV506 ) @ SV1008 ) )
!= ( hAPP @ c_Public_OshrK @ SV1365 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2903]) ).
thf(3372,plain,
! [SV1366: $i,SV1009: $i,SV507: $i] :
( ( ! [SY3710: $i,SY3711: $i] :
( ( c_Event_Oevent_OGets @ SV507 @ SV1009 )
!= ( c_Event_Oevent_OSays @ SV1366 @ SY3710 @ SY3711 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2904]) ).
thf(3373,plain,
! [SV1010: $i,SV508: $i] :
( ( ( ( hAPP @ c_Message_Omsg_OKey @ SV508 )
!= ( hAPP @ c_Message_Omsg_OKey @ SV1010 ) )
= $true )
| ( ( SV508 = SV1010 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2905]) ).
thf(3374,plain,
! [SV1011: $i,SV509: $i] :
( ( ( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV509 @ tc_bool ) )
!= ( c_List_Oset @ SV1011 @ SV509 ) )
= $true )
| ( ( SV1011
= ( c_List_Olist_ONil @ SV509 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2906]) ).
thf(3375,plain,
! [SV1367: $i,SV1012: $i,SV510: $i] :
( ( ( c_Message_Omsg_ONonce @ SV510 )
!= ( c_Message_Omsg_OCrypt @ SV1012 @ SV1367 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2907]) ).
thf(3376,plain,
! [SV1368: $i,SV1013: $i,SV511: $i] :
( ( ~ ( class_Lattices_Obounded__lattice @ SV511 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV1013 @ SV1368 @ SV511 )
!= ( c_Orderings_Obot__class_Obot @ SV511 ) )
| ( SV1013
= ( c_Orderings_Obot__class_Obot @ SV511 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2908]) ).
thf(3377,plain,
! [SV1369: $i,SV1014: $i,SV513: $i] :
( ( ! [SY3712: $i] :
( ( ( c_Message_Oanalz @ SV513 )
!= ( c_Message_Oanalz @ SV1014 ) )
| ( ( c_Message_Oanalz @ SV1369 )
!= ( c_Message_Oanalz @ SY3712 ) )
| ( ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1369 @ SV513 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SY3712 @ SV1014 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2910]) ).
thf(3378,plain,
! [SV1370: $i,SV1015: $i,SV514: $i] :
( ( ( ( c_Set_Oinsert @ SV514 @ SV1015 @ SV1370 )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1370 @ tc_bool ) ) )
| ( hBOOL @ ( c_in @ SV514 @ SV1015 @ SV1370 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2911]) ).
thf(3379,plain,
! [SV1371: $i,SV1016: $i,SV515: $i] :
( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV515 @ SV1016 @ ( tc_fun @ SV1371 @ tc_bool ) )
!= SV1016 )
| ( c_lessequals @ SV515 @ SV1016 @ ( tc_fun @ SV1371 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2912]) ).
thf(3380,plain,
! [SV1372: $i,SV1017: $i,SV516: $i] :
( ( ( c_Message_Omsg_OMPair @ SV516 @ SV1017 )
!= ( c_Message_Omsg_OAgent @ SV1372 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2913]) ).
thf(3381,plain,
! [SV1373: $i,SV1018: $i,SV517: $i] :
( ( ( c_Message_Omsg_OCrypt @ SV517 @ SV1018 )
!= ( c_Message_Omsg_ONonce @ SV1373 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2914]) ).
thf(3382,plain,
! [SV1374: $i,SV1019: $i,SV518: $i] :
( ( ! [SY3713: $i] :
( ( ( c_Set_Oinsert @ SV518 @ SV1019 @ SV1374 )
!= ( c_Set_Oinsert @ SV518 @ SY3713 @ SV1374 ) )
| ( hBOOL @ ( c_in @ SV518 @ SY3713 @ SV1374 ) )
| ( hBOOL @ ( c_in @ SV518 @ SV1019 @ SV1374 ) )
| ( SV1019 = SY3713 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2915]) ).
thf(3383,plain,
! [SV1375: $i,SV1020: $i,SV519: $i] :
( ( ! [SY3714: $i] :
( ( c_Message_Omsg_OCrypt @ SV519 @ SV1020 )
!= ( c_Message_Omsg_OMPair @ SV1375 @ SY3714 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2916]) ).
thf(3384,plain,
! [SV1376: $i,SV1021: $i,SV520: $i] :
( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV520 @ SV1021 @ ( tc_fun @ SV1376 @ tc_bool ) )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1376 @ tc_bool ) ) )
| ( SV520
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1376 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2917]) ).
thf(3385,plain,
! [SV1377: $i,SV1022: $i,SV521: $i] :
( ( ( c_Message_Omsg_OAgent @ SV521 )
!= ( c_Message_Omsg_OMPair @ SV1022 @ SV1377 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2918]) ).
thf(3386,plain,
! [SV1378: $i,SV1023: $i,SV522: $i] :
( ( ! [SY3715: $i,SY3716: $i,SY3717: $i] :
( ( ( c_Event_Oevent_OSays @ SV522 @ SV1023 @ SV1378 )
!= ( c_Event_Oevent_OSays @ SY3715 @ SY3716 @ SY3717 ) )
| ( SV1023 = SY3716 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2919]) ).
thf(3387,plain,
! [SV1024: $i,SV523: $i] :
( ( ( ( c_Message_Omsg_OAgent @ SV523 )
!= ( c_Message_Omsg_OAgent @ SV1024 ) )
= $true )
| ( ( SV523 = SV1024 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2920]) ).
thf(3388,plain,
! [SV1379: $i,SV1025: $i,SV524: $i] :
( ( ( hAPP @ c_Public_OshrK @ SV524 )
!= ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV1025 ) @ SV1379 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2921]) ).
thf(3389,plain,
! [SV1380: $i,SV1026: $i,SV525: $i] :
( ( ( hAPP @ c_Public_OshrK @ SV525 )
!= ( hAPP @ ( c_Public_OpublicKey @ SV1026 ) @ SV1380 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2922]) ).
thf(3390,plain,
! [SV1381: $i,SV1027: $i,SV526: $i] :
( ( ! [SY3718: $i] :
( ( ( hAPP @ ( c_Public_OpublicKey @ SV526 ) @ SV1027 )
!= ( hAPP @ ( c_Public_OpublicKey @ SV1381 ) @ SY3718 ) )
| ( SV1027 = SY3718 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2923]) ).
thf(3391,plain,
! [SV1382: $i,SV1028: $i,SV527: $i] :
( ( ( c_List_Olist_OCons @ SV527 @ SV1028 @ SV1382 )
!= ( c_List_Olist_ONil @ SV1382 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2924]) ).
thf(3392,plain,
! [SV1383: $i,SV1029: $i,SV528: $i] :
( ( ~ ( class_OrderedGroup_Ogroup__add @ SV528 )
| ( ( c_HOL_Ouminus__class_Ouminus @ SV1029 @ SV528 )
!= ( c_HOL_Ouminus__class_Ouminus @ SV1383 @ SV528 ) )
| ( SV1029 = SV1383 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2925]) ).
thf(3393,plain,
! [SV1384: $i,SV1030: $i,SV529: $i] :
( ( ! [SY3719: $i] :
( ( ( c_Event_Oevent_ONotes @ SV529 @ SV1030 )
!= ( c_Event_Oevent_ONotes @ SV1384 @ SY3719 ) )
| ( SV529 = SV1384 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2926]) ).
thf(3394,plain,
! [SV1385: $i,SV1031: $i,SV530: $i] :
( ( ! [SY3720: $i,SY3721: $i] :
( ( ( c_List_Olist_OCons @ SV530 @ SV1031 @ SV1385 )
!= ( c_List_Olist_OCons @ SY3720 @ SY3721 @ SV1385 ) )
| ( SV530 = SY3720 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2927]) ).
thf(3395,plain,
! [SV1386: $i,SV1032: $i,SV531: $i] :
( ( ! [SY3722: $i,SY3723: $i] :
( ( c_Event_Oevent_OSays @ SV531 @ SV1032 @ SV1386 )
!= ( c_Event_Oevent_ONotes @ SY3722 @ SY3723 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2928]) ).
thf(3396,plain,
! [SV1387: $i,SV1033: $i,SV532: $i] :
( ( ~ ( class_Lattices_Obounded__lattice @ SV532 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV1033 @ SV1387 @ SV532 )
!= ( c_Orderings_Obot__class_Obot @ SV532 ) )
| ( SV1387
= ( c_Orderings_Obot__class_Obot @ SV532 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2929]) ).
thf(3397,plain,
! [SV1034: $i,SV533: $i] :
( ( ( ( hAPP @ c_Message_OinvKey @ SV533 )
!= ( hAPP @ c_Message_OinvKey @ SV1034 ) )
= $true )
| ( ( SV533 = SV1034 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2930]) ).
thf(3398,plain,
! [SV1035: $i,SV534: $i] :
( ( ( ( c_Message_Oagent_OFriend @ SV534 )
!= ( c_Message_Oagent_OFriend @ SV1035 ) )
= $true )
| ( ( SV534 = SV1035 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2931]) ).
thf(3399,plain,
! [SV1388: $i,SV1036: $i,SV535: $i] :
( ( ! [SY3724: $i,SY3725: $i] :
( ( ( c_Set_Oinsert @ SV535 @ ( c_Set_Oinsert @ SV1036 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1388 @ tc_bool ) ) @ SV1388 ) @ SV1388 )
!= ( c_Set_Oinsert @ SY3724 @ ( c_Set_Oinsert @ SY3725 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1388 @ tc_bool ) ) @ SV1388 ) @ SV1388 ) )
| ( SV535 = SY3725 )
| ( SV1036 = SY3725 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2932]) ).
thf(3400,plain,
! [SV1389: $i,SV1037: $i,SV537: $i] :
( ( ! [SY3726: $i,SY3727: $i] :
( ( ( c_Set_Oinsert @ SV537 @ ( c_Set_Oinsert @ SV1037 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1389 @ tc_bool ) ) @ SV1389 ) @ SV1389 )
!= ( c_Set_Oinsert @ SY3726 @ ( c_Set_Oinsert @ SY3727 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1389 @ tc_bool ) ) @ SV1389 ) @ SV1389 ) )
| ( SV1037 = SY3726 )
| ( SV537 = SY3726 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2934]) ).
thf(3401,plain,
! [SV1390: $i,SV1038: $i,SV538: $i] :
( ( ( hAPP @ c_Message_Omsg_OKey @ SV538 )
!= ( c_Message_Omsg_OMPair @ SV1038 @ SV1390 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2935]) ).
thf(3402,plain,
! [SV1391: $i,SV1039: $i,SV539: $i] :
( ( ! [SY3728: $i,SY3729: $i,SY3730: $i] :
( ( ( c_Event_Oevent_OSays @ SV539 @ SV1039 @ SV1391 )
!= ( c_Event_Oevent_OSays @ SY3728 @ SY3729 @ SY3730 ) )
| ( SV539 = SY3728 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2936]) ).
thf(3403,plain,
! [SV1392: $i,SV1040: $i,SV540: $i] :
( ( ( c_Set_Oinsert @ SV540 @ SV1040 @ SV1392 )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1392 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2937]) ).
thf(3404,plain,
! [SV1041: $i,SV541: $i] :
( ( ( ( c_Message_Omsg_ONonce @ SV541 )
!= ( c_Message_Omsg_ONonce @ SV1041 ) )
= $true )
| ( ( SV541 = SV1041 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2938]) ).
thf(3405,plain,
! [SV1393: $i,SV1042: $i,SV542: $i] :
( ( ( ( c_Set_Oinsert @ SV542 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1042 @ tc_bool ) ) @ SV1042 )
!= ( c_Set_Oinsert @ SV1393 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1042 @ tc_bool ) ) @ SV1042 ) )
| ( SV542 = SV1393 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2939]) ).
thf(3406,plain,
! [SV1394: $i,SV1043: $i,SV543: $i] :
( ( ! [SY3731: $i] :
( ( ( c_Event_Oevent_OGets @ SV543 @ SV1043 )
!= ( c_Event_Oevent_OGets @ SV1394 @ SY3731 ) )
| ( SV1043 = SY3731 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2940]) ).
thf(3407,plain,
! [SV1395: $i,SV1044: $i,SV544: $i] :
( ( ! [SY3732: $i,SY3733: $i] :
( ( ( c_Set_Oinsert @ SV544 @ ( c_Set_Oinsert @ SV1044 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1395 @ tc_bool ) ) @ SV1395 ) @ SV1395 )
!= ( c_Set_Oinsert @ SY3732 @ ( c_Set_Oinsert @ SY3733 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1395 @ tc_bool ) ) @ SV1395 ) @ SV1395 ) )
| ( SV1044 = SY3732 )
| ( SV1044 = SY3733 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2941]) ).
thf(3408,plain,
! [SV1396: $i,SV1045: $i,SV545: $i] :
( ( ( c_Message_Omsg_OMPair @ SV545 @ SV1045 )
!= ( hAPP @ c_Message_Omsg_OKey @ SV1396 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2942]) ).
thf(3409,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 ) @ v_X ) ) ) ) ) @ ( c_List_Oset @ v_evs2 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ v_K @ ( c_Message_Omsg_ONonce @ v_NB ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ v_evs2 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( 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_evs2 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2943]) ).
thf(3410,plain,
! [SV1046: $i,SV546: $i,SV1: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV1 ) @ SV546 ) ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV1 ) @ SV1046 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV546 @ SV1046 @ tc_Message_Oagent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2944]) ).
thf(3411,plain,
! [SV1397: $i,SV1047: $i,SV547: $i,SV2: $i] :
( ( ( hBOOL @ ( c_in @ SV2 @ SV547 @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV1047 ) @ SV2 ) ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV1397 ) @ SV547 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2945]) ).
thf(3412,plain,
! [SV1048: $i,SV548: $i,SV3: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ SV3 ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV548 ) @ SV1048 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[2946]) ).
thf(3413,plain,
! [SV1398: $i,SV1049: $i,SV549: $i,SV4: $i] :
( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV4 ) @ SV549 ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV1049 ) @ SV1398 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2947]) ).
thf(3414,plain,
! [SV1399: $i,SV1050: $i,SV550: $i,SV5: $i] :
( ( ( SV5 = SV550 )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV5 ) @ SV1050 ) ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV550 ) @ SV1399 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2948]) ).
thf(3415,plain,
! [SV551: $i,SV6: $i] :
( ( ( hBOOL @ ( c_in @ SV6 @ SV551 @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ SV6 ) @ ( c_Set_Oimage @ c_Message_OinvKey @ SV551 @ tc_nat @ tc_nat ) @ tc_nat ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2949]) ).
thf(3416,plain,
! [SV552: $i,SV7: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ SV7 ) @ ( c_Set_Oimage @ c_Message_OinvKey @ SV552 @ tc_nat @ tc_nat ) @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV7 @ SV552 @ tc_nat ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2950]) ).
thf(3417,plain,
! [SV1051: $i,SV553: $i,SV8: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV8 @ SV553 @ SV1051 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV8 @ ( c_HOL_Ouminus__class_Ouminus @ SV553 @ ( tc_fun @ SV1051 @ tc_bool ) ) @ SV1051 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2951]) ).
thf(3418,plain,
! [SV1052: $i,SV554: $i,SV9: $i] :
( ( ( hBOOL @ ( c_in @ SV9 @ ( c_HOL_Ouminus__class_Ouminus @ SV554 @ ( tc_fun @ SV1052 @ tc_bool ) ) @ SV1052 ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV9 @ SV554 @ SV1052 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2952]) ).
thf(3419,plain,
! [SV1053: $i,SV555: $i,SV10: $i] :
( ( ( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV10 ) )
= $true )
| ( ( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV555 @ SV10 ) @ SV1053 @ SV10 )
| ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV1053 @ SV10 ) @ SV555 @ SV10 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2953]) ).
thf(3420,plain,
! [SV1054: $i,SV556: $i,SV11: $i] :
( ( ( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV11 ) )
= $true )
| ( ( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV556 @ SV11 ) @ SV1054 @ SV11 )
| ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV1054 @ SV11 ) @ SV556 @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2954]) ).
thf(3421,plain,
! [SV1055: $i,SV557: $i,SV12: $i] :
( ( ( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV12 ) )
= $true )
| ( ( ( c_lessequals @ SV557 @ ( c_HOL_Ouminus__class_Ouminus @ SV1055 @ SV12 ) @ SV12 )
| ~ ( c_lessequals @ SV1055 @ ( c_HOL_Ouminus__class_Ouminus @ SV557 @ SV12 ) @ SV12 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2955]) ).
thf(3422,plain,
! [SV1056: $i,SV558: $i,SV13: $i] :
( ( ( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV13 ) )
= $true )
| ( ( ( c_lessequals @ SV558 @ ( c_HOL_Ouminus__class_Ouminus @ SV1056 @ SV13 ) @ SV13 )
| ~ ( c_lessequals @ SV1056 @ ( c_HOL_Ouminus__class_Ouminus @ SV558 @ SV13 ) @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2956]) ).
thf(3423,plain,
! [SV559: $i,SV14: $i] :
( ( ( class_OrderedGroup_Ogroup__add @ SV14 )
= $false )
| ( ( ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ SV559 @ SV14 ) @ SV14 )
= SV559 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2957]) ).
thf(3424,plain,
! [SV560: $i,SV15: $i] :
( ( ( class_OrderedGroup_Ogroup__add @ SV15 )
= $false )
| ( ( SV560
= ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ SV560 @ SV15 ) @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2958]) ).
thf(3425,plain,
! [SV561: $i,SV16: $i] :
( ( ( class_OrderedGroup_Ogroup__add @ SV16 )
= $false )
| ( ( SV561
= ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ SV561 @ SV16 ) @ SV16 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2959]) ).
thf(3426,plain,
! [SV562: $i,SV17: $i] :
( ( ( class_Lattices_Oboolean__algebra @ SV17 )
= $false )
| ( ( ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ SV562 @ SV17 ) @ SV17 )
= SV562 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2960]) ).
thf(3427,plain,
! [SV563: $i,SV18: $i] :
( ( ( class_OrderedGroup_Ogroup__add @ SV18 )
= $false )
| ( ( ( c_HOL_Ouminus__class_Ouminus @ ( c_HOL_Ouminus__class_Ouminus @ SV563 @ SV18 ) @ SV18 )
= SV563 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2961]) ).
thf(3428,plain,
! [SV565: $i,SV20: $i] :
( ( ( class_Lattices_Oboolean__algebra @ SV20 )
= $false )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV565 @ ( c_HOL_Ouminus__class_Ouminus @ SV565 @ SV20 ) @ SV20 )
= ( c_Orderings_Otop__class_Otop @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2962]) ).
thf(3429,plain,
! [SV566: $i,SV21: $i] :
( ( ( class_Lattices_Oboolean__algebra @ SV21 )
= $false )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_HOL_Ouminus__class_Ouminus @ SV566 @ SV21 ) @ SV566 @ SV21 )
= ( c_Orderings_Otop__class_Otop @ SV21 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2963]) ).
thf(3430,plain,
! [SV569: $i,SV24: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV24 @ c_Public_Okeymode_OEncryption ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV24 @ c_Public_Okeymode_OSignature ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV24 @ SV569 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2964]) ).
thf(3431,plain,
! [SV1057: $i,SV570: $i,SV25: $i] :
( ( ( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV25 ) )
= $true )
| ( ( ( c_lessequals @ SV570 @ SV1057 @ SV25 )
| ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV1057 @ SV25 ) @ ( c_HOL_Ouminus__class_Ouminus @ SV570 @ SV25 ) @ SV25 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2965]) ).
thf(3432,plain,
! [SV1058: $i,SV571: $i,SV26: $i] :
( ( ( ~ ( class_OrderedGroup_Opordered__ab__group__add @ SV26 ) )
= $true )
| ( ( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV571 @ SV26 ) @ ( c_HOL_Ouminus__class_Ouminus @ SV1058 @ SV26 ) @ SV26 )
| ~ ( c_lessequals @ SV1058 @ SV571 @ SV26 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2966]) ).
thf(3433,plain,
! [SV1059: $i,SV572: $i,SV27: $i] :
( ( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV27 @ ( tc_fun @ SV572 @ tc_bool ) ) @ ( c_HOL_Ouminus__class_Ouminus @ SV1059 @ ( tc_fun @ SV572 @ tc_bool ) ) @ ( tc_fun @ SV572 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1059 @ SV27 @ ( tc_fun @ SV572 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2967]) ).
thf(3434,plain,
! [SV1060: $i,SV573: $i,SV28: $i] :
( ( ( c_lessequals @ SV28 @ SV573 @ ( tc_fun @ SV1060 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV573 @ ( tc_fun @ SV1060 @ tc_bool ) ) @ ( c_HOL_Ouminus__class_Ouminus @ SV28 @ ( tc_fun @ SV1060 @ tc_bool ) ) @ ( tc_fun @ SV1060 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2968]) ).
thf(3435,plain,
! [SV1061: $i,SV574: $i,SV29: $i] :
( ( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV29 @ ( tc_fun @ SV574 @ tc_bool ) ) @ ( c_HOL_Ouminus__class_Ouminus @ SV1061 @ ( tc_fun @ SV574 @ tc_bool ) ) @ ( tc_fun @ SV574 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1061 @ SV29 @ ( tc_fun @ SV574 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2969]) ).
thf(3436,plain,
! [SV575: $i,SV33: $i] :
( ( ( class_HOL_Ouminus @ SV33 )
= $false )
| ( ( ( hAPP @ ( c_HOL_Ouminus__class_Ouminus @ SV575 @ ( tc_fun @ t_a @ SV33 ) ) @ v_x )
= ( c_HOL_Ouminus__class_Ouminus @ ( hAPP @ SV575 @ v_x ) @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2971]) ).
thf(3437,plain,
! [SV576: $i,SV36: $i] :
( ( ( c_lessequals @ SV36 @ ( c_HOL_Ouminus__class_Ouminus @ SV36 @ ( tc_fun @ SV576 @ tc_bool ) ) @ ( tc_fun @ SV576 @ tc_bool ) )
= $false )
| ( ( SV36
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV576 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2973]) ).
thf(3438,plain,
! [SV577: $i,SV37: $i] :
( ( ( c_lessequals @ SV37 @ SV577 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( c_lessequals @ ( c_Message_OkeysFor @ SV37 ) @ ( c_Message_OkeysFor @ SV577 ) @ ( tc_fun @ tc_nat @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2974]) ).
thf(3439,plain,
! [SV578: $i,SV40: $i] :
( ( ( class_Orderings_Obot @ SV40 )
= $false )
| ( ( c_lessequals @ ( c_Orderings_Obot__class_Obot @ SV40 ) @ SV578 @ SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2975]) ).
thf(3440,plain,
! [SV580: $i,SV42: $i] :
( ( ( c_lessequals @ SV42 @ SV580 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( c_lessequals @ ( c_Message_Osynth @ SV42 ) @ ( c_Message_Osynth @ SV580 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2976]) ).
thf(3441,plain,
! [SV1062: $i,SV581: $i,SV43: $i] :
( ( ( hBOOL @ ( c_in @ SV43 @ ( c_Message_Osynth @ SV581 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1062 @ ( c_Message_Osynth @ SV581 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV43 @ ( c_Message_Osynth @ ( c_Set_Oinsert @ SV1062 @ SV581 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2977]) ).
thf(3442,plain,
! [SV1400: $i,SV1063: $i,SV582: $i,SV44: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV44 @ ( c_Set_Oinsert @ SV582 @ SV1063 @ SV1400 ) @ ( tc_fun @ SV1400 @ tc_bool ) )
= ( c_Set_Oinsert @ SV582 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV44 @ SV1063 @ ( tc_fun @ SV1400 @ tc_bool ) ) @ SV1400 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2978]) ).
thf(3443,plain,
! [SV1401: $i,SV1064: $i,SV583: $i,SV45: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oinsert @ SV45 @ SV583 @ SV1064 ) @ SV1401 @ ( tc_fun @ SV1064 @ tc_bool ) )
= ( c_Set_Oinsert @ SV45 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV583 @ SV1401 @ ( tc_fun @ SV1064 @ tc_bool ) ) @ SV1064 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2979]) ).
thf(3444,plain,
! [SV1065: $i,SV584: $i,SV47: $i] :
( ( ( SV47 = SV584 )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV47 @ ( c_Set_Oinsert @ SV584 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1065 @ tc_bool ) ) @ SV1065 ) @ SV1065 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2981]) ).
thf(3445,plain,
! [SV1066: $i,SV585: $i,SV49: $i] :
( ( ( ~ ( class_Lattices_Olattice @ SV49 ) )
= $true )
| ( ( ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV585 @ SV1066 @ ( tc_fun @ t_a @ SV49 ) ) @ v_x )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( hAPP @ SV585 @ v_x ) @ ( hAPP @ SV1066 @ v_x ) @ SV49 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2982]) ).
thf(3446,plain,
! [SV587: $i,SV51: $i] :
( ( ( class_Lattices_Oupper__semilattice @ SV51 )
= $false )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV587 @ SV587 @ SV51 )
= SV587 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2983]) ).
thf(3447,plain,
! [SV588: $i,SV53: $i] :
( ( ( c_lessequals @ SV53 @ ( c_Message_Osynth @ SV588 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( c_lessequals @ ( c_Message_Osynth @ SV53 ) @ ( c_Message_Osynth @ SV588 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2984]) ).
thf(3448,plain,
! [SV589: $i,SV54: $i] :
( ( ( c_lessequals @ ( c_Message_Osynth @ SV54 ) @ ( c_Message_Osynth @ SV589 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV54 @ ( c_Message_Osynth @ SV589 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2985]) ).
thf(3449,plain,
! [SV1069: $i,SV592: $i,SV57: $i] :
( ( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV57 @ SV592 @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1069 ) ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1069 @ SV592 @ ( 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 @ SV57 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1069 ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2988]) ).
thf(3450,plain,
! [SV1402: $i,SV1071: $i,SV594: $i,SV60: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV60 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV594 @ SV1071 @ ( tc_fun @ SV1402 @ tc_bool ) ) @ ( tc_fun @ SV1402 @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV594 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV60 @ SV1071 @ ( tc_fun @ SV1402 @ tc_bool ) ) @ ( tc_fun @ SV1402 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2991]) ).
thf(3451,plain,
! [SV1403: $i,SV1072: $i,SV595: $i,SV61: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV61 @ SV595 @ ( tc_fun @ SV1072 @ tc_bool ) ) @ SV1403 @ ( tc_fun @ SV1072 @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV61 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV595 @ SV1403 @ ( tc_fun @ SV1072 @ tc_bool ) ) @ ( tc_fun @ SV1072 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2992]) ).
thf(3452,plain,
! [SV1404: $i,SV1073: $i,SV596: $i,SV62: $i] :
( ( ~ ( class_Lattices_Oupper__semilattice @ SV62 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV596 @ SV1073 @ SV62 ) @ SV1404 @ SV62 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV596 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1073 @ SV1404 @ SV62 ) @ SV62 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2993]) ).
thf(3453,plain,
! [SV1405: $i,SV1074: $i,SV597: $i,SV63: $i] :
( ( ~ ( class_Lattices_Oupper__semilattice @ SV63 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV597 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1074 @ SV1405 @ SV63 ) @ SV63 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV1074 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV597 @ SV1405 @ SV63 ) @ SV63 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2994]) ).
thf(3454,plain,
! [SV1406: $i,SV1075: $i,SV598: $i,SV64: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV64 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV598 @ SV1075 @ ( tc_fun @ SV1406 @ tc_bool ) ) @ ( tc_fun @ SV1406 @ tc_bool ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV64 @ SV598 @ ( tc_fun @ SV1406 @ tc_bool ) ) @ SV1075 @ ( tc_fun @ SV1406 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2995]) ).
thf(3455,plain,
! [SV1407: $i,SV1076: $i,SV599: $i,SV65: $i] :
( ( ~ ( class_Lattices_Olattice @ SV65 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV599 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1076 @ SV1407 @ SV65 ) @ SV65 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV1076 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV599 @ SV1407 @ SV65 ) @ SV65 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2996]) ).
thf(3456,plain,
! [SV1408: $i,SV1077: $i,SV600: $i,SV66: $i] :
( ( ~ ( class_Lattices_Olattice @ SV66 )
| ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV600 @ SV1077 @ SV66 ) @ SV1408 @ SV66 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV600 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1077 @ SV1408 @ SV66 ) @ SV66 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2997]) ).
thf(3457,plain,
! [SV1409: $i,SV1078: $i,SV601: $i,SV67: $i] :
( ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV67 @ SV601 @ ( tc_fun @ SV1078 @ tc_bool ) ) @ SV1409 @ ( tc_fun @ SV1078 @ tc_bool ) )
| ~ ( c_lessequals @ SV601 @ SV1409 @ ( tc_fun @ SV1078 @ tc_bool ) )
| ~ ( c_lessequals @ SV67 @ SV1409 @ ( tc_fun @ SV1078 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[2998]) ).
thf(3458,plain,
! [SV1410: $i,SV1081: $i,SV604: $i,SV70: $i] :
( ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV70 @ SV604 @ ( tc_fun @ SV1081 @ tc_bool ) ) @ SV1410 @ ( tc_fun @ SV1081 @ tc_bool ) )
| ~ ( c_lessequals @ SV604 @ SV1410 @ ( tc_fun @ SV1081 @ tc_bool ) )
| ~ ( c_lessequals @ SV70 @ SV1410 @ ( tc_fun @ SV1081 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3001]) ).
thf(3459,plain,
! [SV1411: $i,SV1082: $i,SV605: $i,SV71: $i] :
( ( ~ ( class_Lattices_Oupper__semilattice @ SV71 )
| ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV605 @ SV1082 @ SV71 ) @ SV1411 @ SV71 )
| ~ ( c_lessequals @ SV1082 @ SV1411 @ SV71 )
| ~ ( c_lessequals @ SV605 @ SV1411 @ SV71 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3002]) ).
thf(3460,plain,
! [SV1083: $i,SV606: $i,SV72: $i] :
( ( ( ~ ( class_Lattices_Oupper__semilattice @ SV72 ) )
= $true )
| ( ( c_lessequals @ SV606 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV606 @ SV1083 @ SV72 ) @ SV72 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3003]) ).
thf(3461,plain,
! [SV1084: $i,SV607: $i,SV73: $i] :
( ( ( ~ ( class_Lattices_Oupper__semilattice @ SV73 ) )
= $true )
| ( ( c_lessequals @ SV607 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1084 @ SV607 @ SV73 ) @ SV73 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3004]) ).
thf(3462,plain,
! [SV1412: $i,SV1085: $i,SV608: $i,SV74: $i] :
( ( ~ ( class_Lattices_Oupper__semilattice @ SV74 )
| ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV608 @ SV1085 @ SV74 ) @ SV1412 @ SV74 )
| ~ ( c_lessequals @ SV1085 @ SV1412 @ SV74 )
| ~ ( c_lessequals @ SV608 @ SV1412 @ SV74 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3005]) ).
thf(3463,plain,
! [SV1413: $i,SV1086: $i,SV609: $i,SV75: $i] :
( ( ~ ( class_Lattices_Oupper__semilattice @ SV75 )
| ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV609 @ SV1086 @ SV75 ) @ SV1413 @ SV75 )
| ~ ( c_lessequals @ SV1086 @ SV1413 @ SV75 )
| ~ ( c_lessequals @ SV609 @ SV1413 @ SV75 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3006]) ).
thf(3464,plain,
! [SV1087: $i,SV610: $i,SV76: $i] :
( ( ( ~ ( class_Lattices_Olattice @ SV76 ) )
= $true )
| ( ( c_lessequals @ SV610 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1087 @ SV610 @ SV76 ) @ SV76 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3007]) ).
thf(3465,plain,
! [SV1088: $i,SV611: $i,SV77: $i] :
( ( ( ~ ( class_Lattices_Olattice @ SV77 ) )
= $true )
| ( ( c_lessequals @ SV611 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV611 @ SV1088 @ SV77 ) @ SV77 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3008]) ).
thf(3466,plain,
! [SV1414: $i,SV1089: $i,SV612: $i,SV78: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV78 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV612 @ SV1089 @ SV78 ) @ SV78 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1414 @ ( c_List_Olist_OCons @ SV612 @ SV1089 @ SV78 ) @ SV78 ) @ SV78 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3009]) ).
thf(3467,plain,
! [SV1090: $i,SV613: $i,SV79: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV79 ) )
= $true )
| ( ( ( c_List_Olinorder__class_Osorted @ SV613 @ SV79 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1090 @ SV613 @ SV79 ) @ SV79 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3010]) ).
thf(3468,plain,
! [SV1092: $i,SV615: $i,SV81: $i] :
( ( ( ~ ( class_Lattices_Oupper__semilattice @ SV81 ) )
= $true )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV615 @ SV1092 @ SV81 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV1092 @ SV615 @ SV81 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3012]) ).
thf(3469,plain,
! [SV1093: $i,SV616: $i,SV82: $i] :
( ( ( ~ ( class_Lattices_Olattice @ SV82 ) )
= $true )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV616 @ SV1093 @ SV82 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV1093 @ SV616 @ SV82 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3013]) ).
thf(3470,plain,
! [SV1096: $i,SV619: $i,SV85: $i] :
( ( ( ~ ( class_Lattices_Oupper__semilattice @ SV85 ) )
= $true )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV619 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV619 @ SV1096 @ SV85 ) @ SV85 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV619 @ SV1096 @ SV85 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3016]) ).
thf(3471,plain,
! [SV1097: $i,SV620: $i,SV86: $i] :
( ( ( ~ ( class_Lattices_Olattice @ SV86 ) )
= $true )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV620 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV620 @ SV1097 @ SV86 ) @ SV86 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV620 @ SV1097 @ SV86 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3017]) ).
thf(3472,plain,
! [SV622: $i,SV90: $i] :
( ( ( class_Orderings_Olinorder @ SV90 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV622 @ ( c_List_Olist_ONil @ SV90 ) @ SV90 ) @ SV90 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3019]) ).
thf(3473,plain,
! [SV1099: $i,SV623: $i,SV91: $i] :
( ( ( hBOOL @ ( c_in @ SV91 @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV623 ) ) @ ( c_Message_Oparts @ SV623 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1099 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV623 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV91 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV1099 @ ( 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)],[3020]) ).
thf(3474,plain,
! [SV1415: $i,SV1100: $i,SV624: $i,SV92: $i] :
( ( ( hBOOL @ ( c_in @ SV92 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV624 @ SV1100 @ ( tc_fun @ SV1415 @ tc_bool ) ) @ SV1415 ) )
| ~ ( hBOOL @ ( c_in @ SV92 @ SV624 @ SV1415 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3021]) ).
thf(3475,plain,
! [SV1416: $i,SV1101: $i,SV625: $i,SV93: $i] :
( ( ( hBOOL @ ( c_in @ SV93 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV625 @ SV1101 @ ( tc_fun @ SV1416 @ tc_bool ) ) @ SV1416 ) )
| ~ ( hBOOL @ ( c_in @ SV93 @ SV1101 @ SV1416 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3022]) ).
thf(3476,plain,
! [SV1102: $i,SV627: $i,SV95: $i] :
( ( ( hBOOL @ ( hAPP @ SV95 @ SV627 ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV627 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1102 @ tc_bool ) ) @ SV1102 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3024]) ).
thf(3477,plain,
! [SV1417: $i,SV1103: $i,SV630: $i,SV98: $i] :
( ( ( hBOOL @ ( c_in @ SV98 @ SV630 @ SV1103 ) )
| ( hBOOL @ ( c_in @ SV98 @ SV1417 @ SV1103 ) )
| ~ ( hBOOL @ ( c_in @ SV98 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1417 @ SV630 @ ( tc_fun @ SV1103 @ tc_bool ) ) @ SV1103 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3027]) ).
thf(3478,plain,
! [SV1104: $i,SV631: $i,SV99: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV99 @ SV631 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV631 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1104 @ tc_bool ) ) @ SV1104 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3028]) ).
thf(3479,plain,
! [SV632: $i,SV100: $i] :
( ( ( hBOOL @ ( c_in @ SV100 @ SV632 @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV100 @ ( c_Message_Osynth @ SV632 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3029]) ).
thf(3480,plain,
! [SV633: $i,SV101: $i] :
( ( ( hBOOL @ ( c_in @ SV101 @ ( c_Message_Osynth @ ( c_Message_Osynth @ SV633 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV101 @ ( c_Message_Osynth @ SV633 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3030]) ).
thf(3481,plain,
! [SV1105: $i,SV634: $i,SV102: $i] :
( ( ( hBOOL @ ( c_in @ SV102 @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV634 ) ) @ ( c_Message_Oparts @ SV634 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1105 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV634 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV102 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV1105 @ SV634 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3031]) ).
thf(3482,plain,
! [SV1418: $i,SV1106: $i,SV638: $i,SV107: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV107 ) ) @ ( c_Message_Oparts @ SV638 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV107 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1106 @ SV638 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV1418 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV638 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV107 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV1418 @ SV1106 @ tc_Message_Omsg ) ) ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3032]) ).
thf(3483,plain,
! [SV639: $i,SV108: $i] :
( ( ( hBOOL @ ( c_in @ SV108 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV639 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV108 @ SV639 @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV639 ) ) @ ( c_Message_Oparts @ SV639 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3033]) ).
thf(3484,plain,
! [SV1419: $i,SV1107: $i,SV640: $i,SV109: $i] :
( ( ( c_Event_Oused @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV109 @ SV640 @ SV1107 ) @ SV1419 @ tc_Event_Oevent ) )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV1107 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Event_Oused @ SV1419 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3034]) ).
thf(3485,plain,
! [SV1109: $i,SV642: $i,SV111: $i] :
( ( ( hBOOL @ ( c_in @ SV111 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV642 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV1109 @ SV111 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV642 ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3036]) ).
thf(3486,plain,
! [SV1110: $i,SV643: $i,SV112: $i] :
( ( ( hBOOL @ ( c_in @ SV112 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV643 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV112 @ SV1110 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV643 ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3037]) ).
thf(3487,plain,
! [SV1111: $i,SV644: $i,SV113: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV113 @ SV644 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1111 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV644 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1111 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV113 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1111 ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3038]) ).
thf(3488,plain,
! [SV1112: $i,SV645: $i,SV114: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV114 @ SV645 ) @ ( c_Message_Oparts @ ( c_Event_OinitState @ SV1112 ) ) @ tc_Message_Omsg ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3039]) ).
thf(3489,plain,
! [SV1113: $i,SV646: $i,SV115: $i] :
( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV115 @ SV646 ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV1113 @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3040]) ).
thf(3490,plain,
! [SV1114: $i,SV647: $i,SV116: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV116 @ SV647 ) @ ( c_Message_Osynth @ SV1114 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV116 @ SV647 ) @ SV1114 @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV116 ) @ SV1114 @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3041]) ).
thf(3491,plain,
! [SV1115: $i,SV648: $i,SV117: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV117 @ SV648 ) @ SV1115 @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV117 @ SV648 ) @ ( c_Message_Osynth @ SV1115 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV117 ) @ SV1115 @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3042]) ).
thf(3492,plain,
! [SV1116: $i,SV649: $i,SV118: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV118 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV649 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1116 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV118 @ SV649 @ tc_nat ) )
| ~ ( c_lessequals @ SV649 @ ( 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 @ SV1116 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3043]) ).
thf(3493,plain,
! [SV1117: $i,SV650: $i,SV119: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV119 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV650 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ SV119 @ SV1117 @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV119 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV1117 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV650 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SV1117 @ ( 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 @ SV650 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3044]) ).
thf(3494,plain,
! [SV1118: $i,SV651: $i,SV120: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV120 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV651 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1118 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV120 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1118 ) ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SV651 @ ( 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 @ SV1118 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3045]) ).
thf(3495,plain,
! [SV652: $i,SV121: $i] :
( ( ( class_Lattices_Obounded__lattice @ SV121 )
= $false )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV652 @ ( c_Orderings_Otop__class_Otop @ SV121 ) @ SV121 )
= ( c_Orderings_Otop__class_Otop @ SV121 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3046]) ).
thf(3496,plain,
! [SV653: $i,SV122: $i] :
( ( ( class_Lattices_Obounded__lattice @ SV122 )
= $false )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Otop__class_Otop @ SV122 ) @ SV653 @ SV122 )
= ( c_Orderings_Otop__class_Otop @ SV122 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3047]) ).
thf(3497,plain,
! [SV657: $i,SV126: $i] :
( ( ( hBOOL @ ( c_in @ SV126 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV657 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV126 @ ( 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 @ SV657 ) ) @ ( c_Message_Oparts @ SV657 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3048]) ).
thf(3498,plain,
! [SV1420: $i,SV1119: $i,SV659: $i,SV128: $i] :
( ( ( hBOOL @ ( hAPP @ SV128 @ SV659 ) )
| ( hBOOL @ ( hAPP @ SV1119 @ SV659 ) )
| ~ ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1119 @ SV128 @ ( tc_fun @ SV1420 @ tc_bool ) ) @ SV659 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3049]) ).
thf(3499,plain,
! [SV1421: $i,SV1120: $i,SV660: $i,SV129: $i] :
( ( ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV129 @ SV660 @ ( tc_fun @ SV1120 @ tc_bool ) ) @ SV1421 ) )
| ~ ( hBOOL @ ( hAPP @ SV660 @ SV1421 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3050]) ).
thf(3500,plain,
! [SV1422: $i,SV1121: $i,SV661: $i,SV130: $i] :
( ( ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV130 @ SV661 @ ( tc_fun @ SV1121 @ tc_bool ) ) @ SV1422 ) )
| ~ ( hBOOL @ ( hAPP @ SV130 @ SV1422 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3051]) ).
thf(3501,plain,
! [SV662: $i,SV131: $i] :
( ( ( class_Lattices_Obounded__lattice @ SV131 )
= $false )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV662 @ ( c_Orderings_Obot__class_Obot @ SV131 ) @ SV131 )
= SV662 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3052]) ).
thf(3502,plain,
! [SV663: $i,SV132: $i] :
( ( ( class_Lattices_Obounded__lattice @ SV132 )
= $false )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Orderings_Obot__class_Obot @ SV132 ) @ SV663 @ SV132 )
= SV663 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3053]) ).
thf(3503,plain,
! [SV1123: $i,SV669: $i,SV138: $i] :
( ( ( ~ ( class_Lattices_Oupper__semilattice @ SV138 ) )
= $true )
| ( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV669 @ SV1123 @ SV138 )
= SV669 )
| ~ ( c_lessequals @ SV1123 @ SV669 @ SV138 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3056]) ).
thf(3504,plain,
! [SV1124: $i,SV670: $i,SV139: $i] :
( ( ( ~ ( class_Lattices_Oupper__semilattice @ SV139 ) )
= $true )
| ( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV670 @ SV1124 @ SV139 )
= SV1124 )
| ~ ( c_lessequals @ SV670 @ SV1124 @ SV139 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3057]) ).
thf(3505,plain,
! [SV1125: $i,SV671: $i,SV140: $i] :
( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV140 @ SV671 @ ( tc_fun @ SV1125 @ tc_bool ) )
= SV671 )
= $true )
| ( ( ~ ( c_lessequals @ SV140 @ SV671 @ ( tc_fun @ SV1125 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3058]) ).
thf(3506,plain,
! [SV1126: $i,SV672: $i,SV141: $i] :
( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV141 @ SV672 @ ( tc_fun @ SV1126 @ tc_bool ) )
= SV141 )
= $true )
| ( ( ~ ( c_lessequals @ SV672 @ SV141 @ ( tc_fun @ SV1126 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3059]) ).
thf(3507,plain,
! [SV673: $i,SV142: $i] :
( ( ( c_lessequals @ SV142 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV673 @ tc_bool ) ) @ ( tc_fun @ SV673 @ tc_bool ) )
= $false )
| ( ( SV142
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV673 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3060]) ).
thf(3508,plain,
! [SV1423: $i,SV1127: $i,SV674: $i,SV144: $i] :
( ( ! [SY3734: $i] :
( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ SV144 @ SV674 @ SV1127 @ SV1423 ) @ ( c_Set_Oimage @ SV144 @ SY3734 @ SV1127 @ SV1423 ) @ ( tc_fun @ SV1423 @ tc_bool ) )
= ( c_Set_Oimage @ SV144 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV674 @ SY3734 @ ( tc_fun @ SV1127 @ tc_bool ) ) @ SV1127 @ SV1423 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3061]) ).
thf(3509,plain,
! [SV1424: $i,SV1128: $i,SV675: $i,SV145: $i] :
( ( ! [SY3735: $i] :
( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV145 @ SV675 @ ( tc_fun @ SV1128 @ tc_bool ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1424 @ SY3735 @ ( tc_fun @ SV1128 @ tc_bool ) ) @ ( tc_fun @ SV1128 @ tc_bool ) )
| ~ ( c_lessequals @ SV675 @ SY3735 @ ( tc_fun @ SV1128 @ tc_bool ) )
| ~ ( c_lessequals @ SV145 @ SV1424 @ ( tc_fun @ SV1128 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3062]) ).
thf(3510,plain,
! [SV1425: $i,SV1129: $i,SV676: $i,SV150: $i] :
( ( ~ ( class_Lattices_Oupper__semilattice @ SV150 )
| ( c_lessequals @ SV676 @ SV1129 @ SV150 )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1425 @ SV676 @ SV150 ) @ SV1129 @ SV150 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3063]) ).
thf(3511,plain,
! [SV1426: $i,SV1130: $i,SV677: $i,SV151: $i] :
( ( ~ ( class_Lattices_Oupper__semilattice @ SV151 )
| ( c_lessequals @ SV677 @ SV1130 @ SV151 )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV677 @ SV1426 @ SV151 ) @ SV1130 @ SV151 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3064]) ).
thf(3512,plain,
! [SV1427: $i,SV1131: $i,SV678: $i,SV152: $i] :
( ( ~ ( class_Lattices_Oupper__semilattice @ SV152 )
| ( c_lessequals @ SV678 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1131 @ SV1427 @ SV152 ) @ SV152 )
| ~ ( c_lessequals @ SV678 @ SV1427 @ SV152 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3065]) ).
thf(3513,plain,
! [SV1428: $i,SV1132: $i,SV679: $i,SV153: $i] :
( ( ~ ( class_Lattices_Oupper__semilattice @ SV153 )
| ( c_lessequals @ SV679 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1132 @ SV1428 @ SV153 ) @ SV153 )
| ~ ( c_lessequals @ SV679 @ SV1132 @ SV153 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3066]) ).
thf(3514,plain,
! [SV1429: $i,SV1133: $i,SV680: $i,SV154: $i] :
( ( ~ ( class_Lattices_Oupper__semilattice @ SV154 )
| ( c_lessequals @ SV680 @ SV1133 @ SV154 )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1429 @ SV680 @ SV154 ) @ SV1133 @ SV154 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3067]) ).
thf(3515,plain,
! [SV1430: $i,SV1134: $i,SV681: $i,SV155: $i] :
( ( ~ ( class_Lattices_Oupper__semilattice @ SV155 )
| ( c_lessequals @ SV681 @ SV1134 @ SV155 )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV681 @ SV1430 @ SV155 ) @ SV1134 @ SV155 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3068]) ).
thf(3516,plain,
! [SV1431: $i,SV1135: $i,SV682: $i,SV156: $i] :
( ( ( c_lessequals @ SV156 @ SV682 @ ( tc_fun @ SV1135 @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV156 @ SV1431 @ ( tc_fun @ SV1135 @ tc_bool ) ) @ SV682 @ ( tc_fun @ SV1135 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3069]) ).
thf(3517,plain,
! [SV1432: $i,SV1136: $i,SV683: $i,SV157: $i] :
( ( ( c_lessequals @ SV157 @ SV683 @ ( tc_fun @ SV1136 @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1432 @ SV157 @ ( tc_fun @ SV1136 @ tc_bool ) ) @ SV683 @ ( tc_fun @ SV1136 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3070]) ).
thf(3518,plain,
! [SV1137: $i,SV686: $i,SV160: $i] :
( ( ( SV160
= ( c_Set_Oinsert @ SV686 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1137 @ tc_bool ) ) @ SV1137 ) )
= $true )
| ( ( ( SV160
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1137 @ tc_bool ) ) )
| ~ ( c_lessequals @ SV160 @ ( c_Set_Oinsert @ SV686 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1137 @ tc_bool ) ) @ SV1137 ) @ ( tc_fun @ SV1137 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3071]) ).
thf(3519,plain,
! [SV1433: $i,SV1138: $i,SV687: $i,SV162: $i] :
( ( ! [SY3736: $i] :
( ( c_Set_Oimage @ SV162 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV687 @ SV1138 @ ( tc_fun @ SV1433 @ tc_bool ) ) @ SV1433 @ SY3736 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ SV162 @ SV687 @ SV1433 @ SY3736 ) @ ( c_Set_Oimage @ SV162 @ SV1138 @ SV1433 @ SY3736 ) @ ( tc_fun @ SY3736 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3072]) ).
thf(3520,plain,
! [SV1139: $i,SV688: $i,SV163: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV163 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV688 @ tc_nat @ tc_Message_Omsg ) @ SV1139 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV163 ) @ ( c_Message_Oanalz @ SV1139 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV163 ) @ ( c_Message_Oanalz @ SV1139 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3073]) ).
thf(3521,plain,
! [SV1140: $i,SV689: $i,SV164: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV164 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV689 @ tc_nat @ tc_Message_Omsg ) @ SV1140 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV164 ) @ ( c_Message_Oanalz @ SV1140 ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV164 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV689 @ tc_nat @ tc_Message_Omsg ) @ SV1140 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3074]) ).
thf(3522,plain,
! [SV1434: $i,SV1141: $i,SV691: $i,SV166: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV166 )
| ( c_lessequals @ SV691 @ SV1141 @ SV166 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV691 @ ( c_List_Olist_OCons @ SV1141 @ SV1434 @ SV166 ) @ SV166 ) @ SV166 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3075]) ).
thf(3523,plain,
! [SV1435: $i,SV1142: $i,SV692: $i,SV167: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV167 )
| ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV692 @ ( c_List_Olist_OCons @ SV1142 @ SV1435 @ SV167 ) @ SV167 ) @ SV167 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1142 @ SV1435 @ SV167 ) @ SV167 )
| ~ ( c_lessequals @ SV692 @ SV1142 @ SV167 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3076]) ).
thf(3524,plain,
! [SV1143: $i,SV693: $i,SV168: $i] :
( ( ( hBOOL @ ( c_in @ SV168 @ ( c_Message_Osynth @ SV693 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV168 @ SV1143 ) @ SV693 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV168 @ SV1143 ) @ ( c_Message_Osynth @ SV693 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3077]) ).
thf(3525,plain,
! [SV1144: $i,SV694: $i,SV169: $i] :
( ( ( hBOOL @ ( c_in @ SV169 @ ( c_Message_Osynth @ SV694 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV1144 @ SV169 ) @ SV694 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV1144 @ SV169 ) @ ( c_Message_Osynth @ SV694 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3078]) ).
thf(3526,plain,
! [SV1145: $i,SV695: $i,SV170: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV170 @ SV695 ) @ ( c_Message_Osynth @ SV1145 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV695 @ ( c_Message_Osynth @ SV1145 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV170 @ ( c_Message_Osynth @ SV1145 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3079]) ).
thf(3527,plain,
! [SV1146: $i,SV696: $i,SV172: $i] :
( ( ( hBOOL @ ( c_in @ SV172 @ ( c_Message_Oparts @ SV696 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ SV172 @ ( c_Message_Oparts @ SV1146 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV172 @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1146 @ SV696 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3080]) ).
thf(3528,plain,
! [SV1147: $i,SV697: $i,SV173: $i] :
( ( ( hBOOL @ ( c_in @ SV173 @ ( c_Message_Osynth @ SV697 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1147 @ SV173 ) @ SV697 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1147 @ SV173 ) @ ( c_Message_Osynth @ SV697 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3081]) ).
thf(3529,plain,
! [SV698: $i,SV174: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV174 ) @ ( c_Message_Osynth @ SV698 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV174 ) @ SV698 @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3082]) ).
thf(3530,plain,
! [SV699: $i,SV175: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV175 ) @ SV699 @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV175 ) @ ( c_Message_Osynth @ SV699 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3083]) ).
thf(3531,plain,
! [SV1148: $i,SV700: $i,SV176: $i] :
( ( ( hBOOL @ ( c_in @ SV176 @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV700 @ SV1148 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV176 @ ( c_Message_Oanalz @ SV1148 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3084]) ).
thf(3532,plain,
! [SV1149: $i,SV701: $i,SV178: $i] :
( ( ( hBOOL @ ( c_in @ SV178 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV701 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1149 @ SV178 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV701 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV1149 ) ) @ ( c_Message_Oanalz @ SV701 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1149 ) @ ( c_Message_Oanalz @ SV701 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3086]) ).
thf(3533,plain,
! [SV1150: $i,SV702: $i,SV179: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV179 @ SV702 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1150 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV702 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1150 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV179 ) ) @ ( c_Message_Oanalz @ SV1150 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV179 ) @ ( c_Message_Oanalz @ SV1150 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3087]) ).
thf(3534,plain,
! [SV1151: $i,SV705: $i,SV183: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV183 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV705 @ tc_nat @ tc_Message_Omsg ) @ SV1151 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV183 ) @ ( c_Message_Oanalz @ SV1151 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV183 @ SV705 @ tc_nat ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3088]) ).
thf(3535,plain,
! [SV1152: $i,SV706: $i,SV184: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV184 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV706 @ tc_nat @ tc_Message_Omsg ) @ SV1152 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV184 @ SV706 @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV184 ) @ ( c_Message_Oanalz @ SV1152 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3089]) ).
thf(3536,plain,
! [SV1153: $i,SV707: $i,SV185: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV185 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV707 @ tc_nat @ tc_Message_Omsg ) @ SV1153 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV185 @ SV707 @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV185 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV707 @ tc_nat @ tc_Message_Omsg ) @ SV1153 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3090]) ).
thf(3537,plain,
! [SV1154: $i,SV708: $i,SV186: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV186 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV708 @ tc_nat @ tc_Message_Omsg ) @ SV1154 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV186 @ SV708 @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV186 @ SV708 @ tc_nat ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3091]) ).
thf(3538,plain,
! [SV709: $i,SV188: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV188 ) @ ( c_Message_Osynth @ SV709 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV188 ) @ SV709 @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3092]) ).
thf(3539,plain,
! [SV710: $i,SV189: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV189 ) @ ( c_Message_Osynth @ SV710 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV189 ) @ SV710 @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3093]) ).
thf(3540,plain,
! [SV711: $i,SV190: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV190 ) @ SV711 @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV190 ) @ ( c_Message_Osynth @ SV711 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3094]) ).
thf(3541,plain,
! [SV1155: $i,SV712: $i,SV191: $i] :
( ( ( hBOOL @ ( c_in @ SV191 @ ( c_Message_Osynth @ SV712 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1155 @ ( c_Message_Osynth @ SV712 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV191 @ ( c_Message_Osynth @ SV1155 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3095]) ).
thf(3542,plain,
! [SV715: $i,SV194: $i] :
( ( ( c_lessequals @ SV194 @ SV715 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( c_lessequals @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV194 ) ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV715 ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3096]) ).
thf(3543,plain,
! [SV1436: $i,SV1156: $i,SV717: $i,SV196: $i] :
( ( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV196 @ SV717 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1156 @ SV1436 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oanalz @ SV717 ) @ ( c_Message_Oanalz @ SV1436 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oanalz @ SV196 ) @ ( c_Message_Oanalz @ SV1156 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3097]) ).
thf(3544,plain,
! [SV1157: $i,SV719: $i,SV202: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV202 ) @ SV719 @ tc_Message_Omsg ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV202 @ SV1157 ) @ SV719 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV202 @ SV1157 ) @ ( c_Message_Osynth @ SV719 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3101]) ).
thf(3545,plain,
! [SV1158: $i,SV720: $i,SV203: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV203 @ SV720 ) @ ( c_Message_Osynth @ SV1158 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV203 ) @ SV1158 @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV720 @ ( c_Message_Osynth @ SV1158 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3102]) ).
thf(3546,plain,
! [SV1437: $i,SV1159: $i,SV721: $i,SV204: $i] :
( ( ( hBOOL @ ( c_in @ SV204 @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV721 @ SV1159 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1437 @ ( c_Message_Oparts @ SV1159 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV204 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV1437 @ SV721 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3103]) ).
thf(3547,plain,
! [SV205: $i,SV722: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Osko__Message__Xparts__insert__eq__I__1__1 @ SV722 @ SV205 ) @ ( c_Set_Oinsert @ SV205 @ ( c_Message_Oparts @ SV722 ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
= $false )
| ( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ SV205 @ SV722 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ SV205 @ ( c_Message_Oparts @ SV722 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3104]) ).
thf(3548,plain,
! [SV208: $i,SV725: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Osko__Message__Xanalz__insert__eq__I__1__1 @ SV725 @ SV208 ) @ ( c_Set_Oinsert @ SV208 @ ( c_Message_Oanalz @ SV725 ) @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
= $false )
| ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV208 @ SV725 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ SV208 @ ( c_Message_Oanalz @ SV725 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3107]) ).
thf(3549,plain,
! [SV726: $i,SV209: $i] :
( ( ( hBOOL @ ( c_in @ SV209 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV726 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV209 @ SV726 @ tc_Message_Omsg ) ) )
= ( c_Message_Osynth @ ( c_Message_Oanalz @ SV726 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3108]) ).
thf(3550,plain,
! [SV728: $i,SV211: $i] :
( ( ( hBOOL @ ( c_in @ SV211 @ SV728 @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV211 ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV728 @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3110]) ).
thf(3551,plain,
! [SV729: $i,SV212: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV212 ) @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV729 @ tc_nat @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV212 @ SV729 @ tc_nat ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3111]) ).
thf(3552,plain,
! [SV1161: $i,SV732: $i,SV216: $i] :
( ( ( hBOOL @ ( c_in @ SV216 @ ( c_Event_Oused @ SV732 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV216 @ ( c_Message_Oparts @ ( c_Event_OinitState @ SV1161 ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3114]) ).
thf(3553,plain,
! [SV1438: $i,SV1162: $i,SV734: $i,SV220: $i] :
( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV220 ) @ SV734 ) ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV1162 ) @ SV1438 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3116]) ).
thf(3554,plain,
! [SV1439: $i,SV1163: $i,SV736: $i,SV222: $i] :
( ( ~ ( class_Orderings_Olinorder @ SV222 )
| ( c_lessequals @ SV736 @ SV1163 @ SV222 )
| ~ ( hBOOL @ ( c_in @ SV1163 @ ( c_List_Oset @ SV1439 @ SV222 ) @ SV222 ) )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV736 @ SV1439 @ SV222 ) @ SV222 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3118]) ).
thf(3555,plain,
! [SV1164: $i,SV737: $i,SV223: $i] :
( ( ( hBOOL @ ( c_in @ SV223 @ ( c_Message_Oanalz @ SV737 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV1164 ) ) @ ( c_Message_Oanalz @ SV737 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1164 @ SV223 ) @ ( c_Message_Oanalz @ SV737 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3119]) ).
thf(3556,plain,
! [SV1165: $i,SV738: $i,SV224: $i] :
( ( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV224 @ SV738 @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ SV1165 ) @ ( c_Message_Oparts @ SV738 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV224 @ SV1165 @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3120]) ).
thf(3557,plain,
! [SV1166: $i,SV739: $i,SV225: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ SV225 ) @ ( c_Message_OkeysFor @ SV739 ) @ tc_nat ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV225 @ SV1166 ) @ SV739 @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3121]) ).
thf(3558,plain,
! [SV1168: $i,SV741: $i,SV227: $i] :
( ( ( hBOOL @ ( c_in @ SV227 @ ( c_Event_OinitState @ SV741 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SV741 @ SV227 ) @ ( c_List_Oset @ SV1168 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_OGets @ SV741 @ SV227 ) @ ( c_List_Oset @ SV1168 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV741 @ ( c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1 @ SV741 @ SV227 @ SV1168 ) @ SV227 ) @ ( c_List_Oset @ SV1168 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV741 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( c_in @ SV227 @ ( c_Event_Oknows @ SV741 @ SV1168 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3123]) ).
thf(3559,plain,
! [SV1169: $i,SV742: $i,SV228: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV228 ) @ SV742 ) ) @ ( c_Set_Oimage @ c_Public_OshrK @ SV1169 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3124]) ).
thf(3560,plain,
! [SV1170: $i,SV743: $i,SV229: $i] :
( ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV229 @ SV743 ) @ SV1170 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV229 @ SV743 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV743 @ SV1170 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV229 ) ) @ ( c_Message_Oanalz @ SV1170 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3125]) ).
thf(3561,plain,
! [SV1171: $i,SV744: $i,SV230: $i] :
( ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV230 @ SV744 ) @ SV1171 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV230 @ SV744 ) @ ( c_Message_Oanalz @ SV1171 ) @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV230 ) ) @ ( c_Message_Oanalz @ SV1171 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3126]) ).
thf(3562,plain,
! [SV1440: $i,SV1172: $i,SV745: $i,SV231: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV231 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV745 @ SV1172 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV231 ) @ ( c_Message_Oanalz @ SV1172 ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SV1440 @ SV1172 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV745 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1440 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3127]) ).
thf(3563,plain,
! [SV1441: $i,SV1173: $i,SV746: $i,SV232: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV232 ) @ ( c_Message_Oanalz @ SV746 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV232 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV1173 @ SV746 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SV1441 @ SV746 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV1173 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1441 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3128]) ).
thf(3564,plain,
! [SV747: $i,SV233: $i] :
( ( ( hBOOL @ ( c_in @ SV233 @ ( c_Event_Oused @ SV747 ) @ tc_Message_Omsg ) )
= $false )
| ( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV233 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ ( c_Event_Oused @ SV747 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3129]) ).
thf(3565,plain,
! [SV1174: $i,SV748: $i,SV234: $i] :
( ( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV234 @ SV748 ) @ SV1174 @ tc_Message_Omsg ) ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV234 @ SV748 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV748 @ SV1174 @ 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 @ SV234 ) ) @ ( c_Message_Oanalz @ SV1174 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3130]) ).
thf(3566,plain,
! [SV1175: $i,SV749: $i,SV235: $i] :
( ( ( c_lessequals @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV235 @ SV749 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV749 @ SV1175 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV235 @ SV749 ) @ SV1175 @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV235 ) ) @ ( c_Message_Oanalz @ SV1175 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3131]) ).
thf(3567,plain,
! [SV1176: $i,SV750: $i,SV236: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV236 ) @ SV750 ) ) ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1176 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV750 @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3132]) ).
thf(3568,plain,
! [SV1177: $i,SV751: $i,SV237: $i] :
( ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ SV237 @ SV751 ) @ SV1177 @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV751 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1177 ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1177 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3133]) ).
thf(3569,plain,
! [SV1178: $i,SV752: $i,SV238: $i] :
( ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ SV238 @ SV752 ) @ SV1178 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV752 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1178 ) ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1178 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3134]) ).
thf(3570,plain,
! [SV1179: $i,SV753: $i,SV239: $i] :
( ( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV239 @ SV753 ) @ SV1179 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV753 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1179 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV239 @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3135]) ).
thf(3571,plain,
! [SV1180: $i,SV754: $i,SV240: $i] :
( ( ( ( c_Event_Oknows @ SV240 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV240 @ SV754 ) @ SV1180 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV754 @ ( c_Event_Oknows @ SV240 @ SV1180 ) @ tc_Message_Omsg ) )
= $true )
| ( ( SV240 = c_Message_Oagent_OSpy )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3136]) ).
thf(3572,plain,
! [SV1442: $i,SV1181: $i,SV755: $i,SV241: $i] :
( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV241 @ SV755 @ SV1181 ) @ SV1442 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV1181 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1442 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3137]) ).
thf(3573,plain,
! [SV1443: $i,SV1183: $i,SV758: $i,SV244: $i] :
( ( ( c_Event_Oknows @ SV244 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV244 @ SV758 @ SV1183 ) @ SV1443 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV1183 @ ( c_Event_Oknows @ SV244 @ SV1443 ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3140]) ).
thf(3574,plain,
! [SV1185: $i,SV760: $i,SV246: $i] :
( ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV246 @ SV760 @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ SV760 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1185 @ SV760 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV246 @ ( c_Message_Oanalz @ SV1185 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3142]) ).
thf(3575,plain,
! [SV1444: $i,SV1188: $i,SV769: $i,SV255: $i] :
( ( ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV255 @ SV769 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ SV1188 ) @ SV1444 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_ONonce @ SV1188 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV255 @ SV769 ) @ SV1444 @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3145]) ).
thf(3576,plain,
! [SV1445: $i,SV1190: $i,SV773: $i,SV259: $i] :
( ( ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV259 @ SV773 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ SV1190 ) @ SV1445 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OAgent @ SV1190 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV259 @ SV773 ) @ SV1445 @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3147]) ).
thf(3577,plain,
! [SV1446: $i,SV1191: $i,SV775: $i,SV261: $i] :
( ( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV261 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV775 @ SV1191 ) @ SV1446 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV775 @ SV1191 ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV261 ) @ SV1446 @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3148]) ).
thf(3578,plain,
! [SV1447: $i,SV1194: $i,SV779: $i,SV265: $i] :
( ( ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV265 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV779 @ SV1194 ) @ SV1447 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV779 @ SV1194 ) @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV265 ) @ SV1447 @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3151]) ).
thf(3579,plain,
! [SV1195: $i,SV780: $i,SV266: $i] :
( ( ( hBOOL @ ( c_in @ SV266 @ ( c_Message_Oanalz @ SV780 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1195 @ ( c_Message_Oanalz @ SV780 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV266 @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV1195 @ SV780 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3152]) ).
thf(3580,plain,
! [SV781: $i,SV267: $i] :
( ( ( hBOOL @ ( c_in @ SV267 @ ( c_Message_Oanalz @ SV781 ) @ tc_Message_Omsg ) )
= $false )
| ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV267 @ SV781 @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ SV781 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3153]) ).
thf(3581,plain,
! [SV1196: $i,SV782: $i,SV268: $i] :
( ( ( hBOOL @ ( c_in @ SV268 @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV782 @ SV1196 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV268 @ ( c_Message_Oanalz @ SV1196 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3154]) ).
thf(3582,plain,
! [SV1448: $i,SV1197: $i,SV783: $i,SV269: $i] :
( ( ! [SY3737: $i] :
( ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV269 @ SV783 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV1197 @ SV1448 ) @ SY3737 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV1197 @ SV1448 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV269 @ SV783 ) @ SY3737 @ tc_Message_Omsg ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3155]) ).
thf(3583,plain,
! [SV1199: $i,SV785: $i,SV271: $i] :
( ( ( hBOOL @ ( c_in @ SV271 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV785 @ SV1199 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV271 @ ( c_Message_Oparts @ SV1199 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3157]) ).
thf(3584,plain,
! [SV786: $i,SV272: $i] :
( ( ( hBOOL @ ( c_in @ SV272 @ ( c_Message_Oparts @ SV786 ) @ tc_Message_Omsg ) )
= $false )
| ( ( ( c_Message_Oparts @ ( c_Set_Oinsert @ SV272 @ SV786 @ tc_Message_Omsg ) )
= ( c_Message_Oparts @ SV786 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3158]) ).
thf(3585,plain,
! [SV1449: $i,SV1201: $i,SV788: $i,SV274: $i] :
( ( ! [SY3738: $i] :
( ( ( c_Set_Oinsert @ ( hAPP @ SV274 @ SV788 ) @ ( c_Set_Oimage @ SV274 @ SV1201 @ SV1449 @ SY3738 ) @ SY3738 )
= ( c_Set_Oimage @ SV274 @ SV1201 @ SV1449 @ SY3738 ) )
| ~ ( hBOOL @ ( c_in @ SV788 @ SV1201 @ SV1449 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3160]) ).
thf(3586,plain,
! [SV1450: $i,SV1202: $i,SV789: $i,SV275: $i] :
( ( ( c_lessequals @ ( c_Set_Oinsert @ SV275 @ SV789 @ SV1202 ) @ SV1450 @ ( tc_fun @ SV1202 @ tc_bool ) )
| ~ ( c_lessequals @ SV789 @ SV1450 @ ( tc_fun @ SV1202 @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV275 @ SV1450 @ SV1202 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3161]) ).
thf(3587,plain,
! [SV1451: $i,SV1203: $i,SV790: $i,SV276: $i] :
( ( ( hBOOL @ ( c_in @ SV276 @ SV790 @ SV1203 ) )
| ~ ( c_lessequals @ ( c_Set_Oinsert @ SV276 @ SV1451 @ SV1203 ) @ SV790 @ ( tc_fun @ SV1203 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3162]) ).
thf(3588,plain,
! [SV1452: $i,SV1204: $i,SV791: $i,SV277: $i] :
( ( ( c_lessequals @ SV277 @ ( c_Set_Oinsert @ SV791 @ SV1204 @ SV1452 ) @ ( tc_fun @ SV1452 @ tc_bool ) )
| ~ ( c_lessequals @ SV277 @ SV1204 @ ( tc_fun @ SV1452 @ tc_bool ) )
| ( hBOOL @ ( c_in @ SV791 @ SV277 @ SV1452 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3163]) ).
thf(3589,plain,
! [SV1453: $i,SV1205: $i,SV792: $i,SV278: $i] :
( ( ( c_lessequals @ SV278 @ SV792 @ ( tc_fun @ SV1205 @ tc_bool ) )
| ( hBOOL @ ( c_in @ SV1453 @ SV278 @ SV1205 ) )
| ~ ( c_lessequals @ SV278 @ ( c_Set_Oinsert @ SV1453 @ SV792 @ SV1205 ) @ ( tc_fun @ SV1205 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3164]) ).
thf(3590,plain,
! [SV1454: $i,SV1206: $i,SV793: $i,SV279: $i] :
( ( ( c_lessequals @ SV279 @ ( c_Set_Oinsert @ SV793 @ SV1206 @ SV1454 ) @ ( tc_fun @ SV1454 @ tc_bool ) )
| ~ ( c_lessequals @ SV279 @ SV1206 @ ( tc_fun @ SV1454 @ tc_bool ) )
| ( hBOOL @ ( c_in @ SV793 @ SV279 @ SV1454 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3165]) ).
thf(3591,plain,
! [SV1455: $i,SV1207: $i,SV794: $i,SV280: $i] :
( ( ( c_lessequals @ SV280 @ SV794 @ ( tc_fun @ SV1207 @ tc_bool ) )
| ~ ( c_lessequals @ SV280 @ ( c_Set_Oinsert @ SV1455 @ SV794 @ SV1207 ) @ ( tc_fun @ SV1207 @ tc_bool ) )
| ( hBOOL @ ( c_in @ SV1455 @ SV280 @ SV1207 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3166]) ).
thf(3592,plain,
! [SV1456: $i,SV1208: $i,SV795: $i,SV281: $i] :
( ( ( c_lessequals @ ( c_Set_Oinsert @ SV281 @ SV795 @ SV1208 ) @ ( c_Set_Oinsert @ SV281 @ SV1456 @ SV1208 ) @ ( tc_fun @ SV1208 @ tc_bool ) )
| ~ ( c_lessequals @ SV795 @ SV1456 @ ( tc_fun @ SV1208 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3167]) ).
thf(3593,plain,
! [SV1457: $i,SV1210: $i,SV797: $i,SV283: $i] :
( ( ! [SY3739: $i] :
( ( c_Set_Oimage @ SV283 @ ( c_Set_Oinsert @ SV797 @ SV1210 @ SV1457 ) @ SV1457 @ SY3739 )
= ( c_Set_Oinsert @ ( hAPP @ SV283 @ SV797 ) @ ( c_Set_Oimage @ SV283 @ SV1210 @ SV1457 @ SY3739 ) @ SY3739 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3169]) ).
thf(3594,plain,
! [SV1458: $i,SV1212: $i,SV799: $i,SV285: $i] :
( ( ( hBOOL @ ( hAPP @ SV285 @ SV799 ) )
| ( SV1212 = SV799 )
| ~ ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV1212 @ SV285 @ SV1458 ) @ SV799 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3171]) ).
thf(3595,plain,
! [SV1459: $i,SV1214: $i,SV801: $i,SV287: $i] :
( ( ( c_lessequals @ SV287 @ ( c_Set_Oinsert @ SV801 @ SV1214 @ SV1459 ) @ ( tc_fun @ SV1459 @ tc_bool ) )
| ~ ( c_lessequals @ SV287 @ SV1214 @ ( tc_fun @ SV1459 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3173]) ).
thf(3596,plain,
! [SV1460: $i,SV1215: $i,SV802: $i,SV288: $i] :
( ( ( c_lessequals @ SV288 @ SV802 @ ( tc_fun @ SV1215 @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Set_Oinsert @ SV1460 @ SV288 @ SV1215 ) @ SV802 @ ( tc_fun @ SV1215 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3174]) ).
thf(3597,plain,
! [SV1461: $i,SV1216: $i,SV803: $i,SV289: $i] :
( ( ( c_Set_Oinsert @ SV289 @ ( c_Set_Oinsert @ SV803 @ SV1216 @ SV1461 ) @ SV1461 )
= ( c_Set_Oinsert @ SV803 @ ( c_Set_Oinsert @ SV289 @ SV1216 @ SV1461 ) @ SV1461 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3175]) ).
thf(3598,plain,
! [SV1462: $i,SV1217: $i,SV804: $i,SV290: $i] :
( ( ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV290 @ SV804 @ SV1217 ) @ SV1462 ) )
| ~ ( hBOOL @ ( hAPP @ SV804 @ SV1462 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3176]) ).
thf(3599,plain,
! [SV1463: $i,SV1218: $i,SV805: $i,SV291: $i] :
( ( ! [SY3740: $i] :
( ( c_Set_Oinsert @ ( hAPP @ SV291 @ SV805 ) @ ( c_Set_Oimage @ SV291 @ SV1218 @ SV1463 @ SY3740 ) @ SY3740 )
= ( c_Set_Oimage @ SV291 @ ( c_Set_Oinsert @ SV805 @ SV1218 @ SV1463 ) @ SV1463 @ SY3740 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3177]) ).
thf(3600,plain,
! [SV1464: $i,SV1219: $i,SV806: $i,SV292: $i] :
( ( ( hBOOL @ ( c_in @ SV292 @ ( c_Set_Oinsert @ SV806 @ SV1219 @ SV1464 ) @ SV1464 ) )
| ~ ( hBOOL @ ( c_in @ SV292 @ SV1219 @ SV1464 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3178]) ).
thf(3601,plain,
! [SV1465: $i,SV1220: $i,SV807: $i,SV293: $i] :
( ( ( hBOOL @ ( c_in @ SV293 @ ( c_Set_Oinsert @ SV807 @ SV1220 @ SV1465 ) @ SV1465 ) )
| ~ ( hBOOL @ ( c_in @ SV293 @ SV1220 @ SV1465 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3179]) ).
thf(3602,plain,
! [SV1466: $i,SV1221: $i,SV808: $i,SV294: $i] :
( ( ( hBOOL @ ( c_in @ SV294 @ SV808 @ SV1221 ) )
| ( SV294 = SV1466 )
| ~ ( hBOOL @ ( c_in @ SV294 @ ( c_Set_Oinsert @ SV1466 @ SV808 @ SV1221 ) @ SV1221 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3180]) ).
thf(3603,plain,
! [SV1225: $i,SV812: $i,SV298: $i] :
( ( ( ( c_Set_Oinsert @ SV298 @ SV812 @ SV1225 )
= SV812 )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV298 @ SV812 @ SV1225 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3184]) ).
thf(3604,plain,
! [SV299: $i,SV813: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV813 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV299 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV299 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV813 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV299 @ ( 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)],[3185]) ).
thf(3605,plain,
! [SV1226: $i,SV814: $i,SV300: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV300 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV814 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ( SV300 = SV1226 )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV300 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV1226 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV814 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV1226 @ ( 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 @ SV814 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3186]) ).
thf(3606,plain,
! [SV1227: $i,SV815: $i,SV301: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV301 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV815 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1227 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV301 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1227 ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV815 @ ( 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 @ SV1227 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3187]) ).
thf(3607,plain,
! [SV1467: $i,SV1228: $i,SV816: $i,SV302: $i] :
( ( ! [SY3741: $i,SY3742: $i,SY3743: $i] :
( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV302 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV816 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV816 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SV1228 @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ SV1467 @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SY3741 @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1 @ SV302 @ SY3741 @ SV816 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV302 ) ) ) ) @ ( c_List_Oset @ SV816 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1467 @ ( c_Message_Omsg_OCrypt @ SY3742 @ ( c_Message_Omsg_OMPair @ SY3741 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1228 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV302 ) @ SY3743 ) ) ) ) ) @ ( c_List_Oset @ SV816 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3188]) ).
thf(3608,plain,
! [SV1468: $i,SV1229: $i,SV817: $i,SV303: $i] :
( ( ! [SY3744: $i] :
( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV817 ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SV1229 @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1 @ SV303 @ SV1229 @ SV817 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) ) ) ) @ ( c_List_Oset @ SV817 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV817 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SV1468 @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ SY3744 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3744 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3744 ) @ ( c_Message_Omsg_OMPair @ SV1229 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1468 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1468 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) @ ( c_Message_Omsg_OAgent @ SY3744 ) ) ) ) ) ) ) ) @ ( c_List_Oset @ SV817 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3189]) ).
thf(3609,plain,
! [SV818: $i,SV304: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV304 @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV818 @ 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 @ SV304 ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV818 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3190]) ).
thf(3610,plain,
! [SV1469: $i,SV1231: $i,SV820: $i,SV306: $i] :
( ( ! [SY3745: $i,SY3746: $i,SY3747: $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 @ SV306 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV820 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV1231 ) ) ) ) @ SV1469 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3745 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3745 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV306 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3746 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1231 ) @ SY3747 ) ) ) ) ) @ ( c_List_Oset @ SV1469 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3746 @ SY3745 @ ( c_Message_Omsg_OCrypt @ SV1231 @ ( c_Message_Omsg_ONonce @ SV820 ) ) ) @ ( c_List_Oset @ SV1469 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1469 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3192]) ).
thf(3611,plain,
! [SV1470: $i,SV1232: $i,SV821: $i,SV307: $i] :
( ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV307 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV307 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV821 ) @ ( c_Message_Omsg_ONonce @ SV1232 ) ) ) ) @ SV1470 @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1232 ) @ ( c_Event_Oused @ SV1470 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1470 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3193]) ).
thf(3612,plain,
! [SV1471: $i,SV1233: $i,SV822: $i,SV308: $i] :
( ( ! [SY3748: $i,SY3749: $i] :
( ~ ( hBOOL @ ( c_in @ SV308 @ ( 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 @ SV822 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SV1233 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1233 ) @ ( c_Message_Omsg_OMPair @ SV1471 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3748 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV308 ) @ SY3749 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV822 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3194]) ).
thf(3613,plain,
! [SV1235: $i,SV824: $i,SV310: $i] :
( ( ( hBOOL @ ( c_in @ SV310 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV824 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1235 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1235 ) @ SV310 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV824 ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3196]) ).
thf(3614,plain,
! [SV825: $i,SV311: $i] :
( ( ( hBOOL @ ( c_in @ SV311 @ ( 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 @ SV311 ) @ ( c_Event_Oused @ SV825 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3197]) ).
thf(3615,plain,
! [SV826: $i,SV312: $i] :
( ( ( hBOOL @ ( c_in @ SV312 @ c_Event_Obad @ tc_Message_Oagent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV312 ) ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV826 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3198]) ).
thf(3616,plain,
! [SV1472: $i,SV1236: $i,SV828: $i,SV314: $i] :
( ( ~ ( hBOOL @ ( c_in @ SV314 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV828 ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV314 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV1236 @ SV1472 ) @ SV828 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3200]) ).
thf(3617,plain,
! [SV1473: $i,SV1237: $i,SV829: $i,SV315: $i] :
( ( ~ ( hBOOL @ ( c_in @ SV315 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV829 ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV315 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV1237 @ SV1473 ) @ SV829 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3201]) ).
thf(3618,plain,
! [SV1238: $i,SV830: $i,SV317: $i] :
( ( ( hBOOL @ ( c_in @ SV317 @ ( c_Message_Oanalz @ SV830 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1238 @ ( c_Message_Oanalz @ SV830 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV317 @ ( c_Message_Oanalz @ SV1238 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3202]) ).
thf(3619,plain,
! [SV1239: $i,SV831: $i,SV318: $i] :
( ( ( hBOOL @ ( c_in @ SV318 @ ( c_Message_Oparts @ SV831 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1239 @ ( c_Message_Oparts @ SV831 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV318 @ ( c_Message_Oparts @ SV1239 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3203]) ).
thf(3620,plain,
! [SV1474: $i,SV1240: $i,SV832: $i,SV319: $i] :
( ( ( hBOOL @ ( c_in @ SV319 @ ( c_List_Oset @ SV832 @ SV1240 ) @ SV1240 ) )
| ( SV319 = SV1474 )
| ~ ( hBOOL @ ( c_in @ SV319 @ ( c_List_Oset @ ( c_List_Olist_OCons @ SV1474 @ SV832 @ SV1240 ) @ SV1240 ) @ SV1240 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3204]) ).
thf(3621,plain,
! [SV1241: $i,SV833: $i,SV320: $i] :
( ( ( hBOOL @ ( c_in @ SV320 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV833 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1241 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SV1241 @ SV320 ) @ ( c_List_Oset @ SV833 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3205]) ).
thf(3622,plain,
! [SV1475: $i,SV1242: $i,SV834: $i,SV321: $i] :
( ( c_lessequals @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV321 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV834 @ SV1242 @ SV1475 ) @ SV321 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3206]) ).
thf(3623,plain,
! [SV1476: $i,SV1243: $i,SV835: $i,SV322: $i] :
( ( ! [SY3750: $i] : ( c_lessequals @ ( c_Event_Oknows @ SV322 @ SV835 ) @ ( c_Event_Oknows @ SV322 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV1243 @ SV1476 @ SY3750 ) @ SV835 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3207]) ).
thf(3624,plain,
! [SV1244: $i,SV836: $i,SV323: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ SV323 ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV836 ) @ SV1244 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3208]) ).
thf(3625,plain,
! [SV837: $i,SV324: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ SV324 ) @ ( c_Set_Oimage @ c_Public_OshrK @ SV837 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV324 @ SV837 @ tc_Message_Oagent ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3209]) ).
thf(3626,plain,
! [SV838: $i,SV325: $i] :
( ( ( hBOOL @ ( c_in @ SV325 @ SV838 @ tc_Message_Oagent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Public_OshrK @ SV325 ) @ ( c_Set_Oimage @ c_Public_OshrK @ SV838 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3210]) ).
thf(3627,plain,
! [SV1245: $i,SV839: $i,SV326: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV326 ) @ SV839 ) @ ( c_Set_Oimage @ c_Public_OshrK @ SV1245 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3211]) ).
thf(3628,plain,
! [SV841: $i,SV329: $i] :
( ( ( c_lessequals @ ( c_Message_Oanalz @ SV329 ) @ ( c_Message_Oanalz @ SV841 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV329 @ ( c_Message_Oanalz @ SV841 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3213]) ).
thf(3629,plain,
! [SV842: $i,SV330: $i] :
( ( ( c_lessequals @ SV330 @ ( c_Message_Oanalz @ SV842 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( c_lessequals @ ( c_Message_Oanalz @ SV330 ) @ ( c_Message_Oanalz @ SV842 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3214]) ).
thf(3630,plain,
! [SV843: $i,SV331: $i] :
( ( ( c_lessequals @ SV331 @ SV843 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( c_lessequals @ ( c_Message_Oanalz @ SV331 ) @ ( c_Message_Oanalz @ SV843 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3215]) ).
thf(3631,plain,
! [SV844: $i,SV332: $i] :
( ( ( c_lessequals @ ( c_Message_Oparts @ SV332 ) @ ( c_Message_Oparts @ SV844 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV332 @ ( c_Message_Oparts @ SV844 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3216]) ).
thf(3632,plain,
! [SV845: $i,SV333: $i] :
( ( ( c_lessequals @ SV333 @ ( c_Message_Oparts @ SV845 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( c_lessequals @ ( c_Message_Oparts @ SV333 ) @ ( c_Message_Oparts @ SV845 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3217]) ).
thf(3633,plain,
! [SV846: $i,SV334: $i] :
( ( ( c_lessequals @ SV334 @ SV846 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( c_lessequals @ ( c_Message_Oparts @ SV334 ) @ ( c_Message_Oparts @ SV846 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3218]) ).
thf(3634,plain,
! [SV1477: $i,SV1247: $i,SV847: $i,SV336: $i] :
( ( ! [SY3751: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ SV336 @ SV847 ) @ ( c_Set_Oimage @ SV336 @ SV1247 @ SV1477 @ SY3751 ) @ SY3751 ) )
| ~ ( hBOOL @ ( c_in @ SV847 @ SV1247 @ SV1477 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3219]) ).
thf(3635,plain,
! [SV1478: $i,SV1248: $i,SV848: $i,SV337: $i] :
( ( ! [SY3752: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ SV337 @ SV848 ) @ ( c_Set_Oimage @ SV337 @ SV1248 @ SV1478 @ SY3752 ) @ SY3752 ) )
| ~ ( hBOOL @ ( c_in @ SV848 @ SV1248 @ SV1478 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3220]) ).
thf(3636,plain,
! [SV1479: $i,SV1249: $i,SV849: $i,SV338: $i] :
( ( ! [SY3753: $i] :
( ~ ( hBOOL @ ( c_in @ SV338 @ SV849 @ SV1249 ) )
| ( hBOOL @ ( c_in @ ( hAPP @ SV1479 @ SV338 ) @ ( c_Set_Oimage @ SV1479 @ SV849 @ SV1249 @ SY3753 ) @ SY3753 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3221]) ).
thf(3637,plain,
! [SV1480: $i,SV1250: $i,SV850: $i,SV339: $i] :
( ( ! [SY3754: $i] :
( ~ ( hBOOL @ ( c_in @ SV339 @ SV850 @ SV1250 ) )
| ( hBOOL @ ( c_in @ ( hAPP @ SV1480 @ SV339 ) @ ( c_Set_Oimage @ SV1480 @ SV850 @ SV1250 @ SY3754 ) @ SY3754 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3222]) ).
thf(3638,plain,
! [SV1481: $i,SV1251: $i,SV852: $i,SV341: $i] :
( ( ( hBOOL @ ( c_in @ SV341 @ SV852 @ SV1251 ) )
| ~ ( hBOOL @ ( c_in @ SV341 @ SV1481 @ SV1251 ) )
| ~ ( c_lessequals @ SV1481 @ SV852 @ ( tc_fun @ SV1251 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3223]) ).
thf(3639,plain,
! [SV1482: $i,SV1252: $i,SV853: $i,SV342: $i] :
( ( ( hBOOL @ ( c_in @ SV342 @ SV853 @ SV1252 ) )
| ~ ( hBOOL @ ( c_in @ SV342 @ SV1482 @ SV1252 ) )
| ~ ( c_lessequals @ SV1482 @ SV853 @ ( tc_fun @ SV1252 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3224]) ).
thf(3640,plain,
! [SV1483: $i,SV1253: $i,SV854: $i,SV343: $i] :
( ( ( hBOOL @ ( c_in @ SV343 @ SV854 @ SV1253 ) )
| ~ ( c_lessequals @ SV1483 @ SV854 @ ( tc_fun @ SV1253 @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV343 @ SV1483 @ SV1253 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3225]) ).
thf(3641,plain,
! [SV1484: $i,SV1254: $i,SV855: $i,SV344: $i] :
( ( ( hBOOL @ ( c_in @ SV344 @ SV855 @ SV1254 ) )
| ~ ( hBOOL @ ( c_in @ SV344 @ SV1484 @ SV1254 ) )
| ~ ( c_lessequals @ SV1484 @ SV855 @ ( tc_fun @ SV1254 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3226]) ).
thf(3642,plain,
! [SV1485: $i,SV1255: $i,SV856: $i,SV345: $i] :
( ( ! [SY3755: $i] :
( ~ ( class_HOL_Oord @ SV345 )
| ( c_lessequals @ ( hAPP @ SV856 @ SV1255 ) @ ( hAPP @ SV1485 @ SV1255 ) @ SV345 )
| ~ ( c_lessequals @ SV856 @ SV1485 @ ( tc_fun @ SY3755 @ SV345 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3227]) ).
thf(3643,plain,
! [SV1486: $i,SV1257: $i,SV858: $i,SV347: $i] :
( ( c_lessequals @ ( c_Event_Oknows @ SV347 @ SV858 ) @ ( c_Event_Oknows @ SV347 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV1257 @ SV1486 ) @ SV858 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3229]) ).
thf(3644,plain,
! [SV1258: $i,SV859: $i,SV348: $i] :
( ( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV348 @ SV859 ) @ SV1258 @ tc_Event_Oevent ) )
= ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1258 ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV348 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3230]) ).
thf(3645,plain,
! [SV1487: $i,SV1259: $i,SV860: $i,SV349: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ SV349 @ SV860 ) @ ( c_Set_Oimage @ SV349 @ ( c_Orderings_Otop__class_Otop @ ( tc_fun @ SV1259 @ tc_bool ) ) @ SV1259 @ SV1487 ) @ SV1487 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3231]) ).
thf(3646,plain,
! [SV1488: $i,SV1260: $i,SV861: $i,SV350: $i] :
( ( ! [SY3756: $i,SY3757: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ SV350 @ SV861 ) @ SV1260 @ SV1488 ) )
| ~ ( hBOOL @ ( c_in @ SV861 @ SY3756 @ SY3757 ) )
| ~ ( c_lessequals @ ( c_Set_Oimage @ SV350 @ SY3756 @ SY3757 @ SV1488 ) @ SV1260 @ ( tc_fun @ SV1488 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3232]) ).
thf(3647,plain,
! [SV1489: $i,SV1261: $i,SV862: $i,SV351: $i] :
( ( ( SV351 = SV862 )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV351 ) @ SV1261 ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV862 ) @ SV1489 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3233]) ).
thf(3648,plain,
! [SV1490: $i,SV1262: $i,SV863: $i,SV352: $i] :
( ( ( hBOOL @ ( c_in @ SV352 @ SV863 @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV1262 ) @ SV352 ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV1490 ) @ SV863 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3234]) ).
thf(3649,plain,
! [SV1263: $i,SV864: $i,SV353: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV353 ) @ SV864 ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV353 ) @ SV1263 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV864 @ SV1263 @ tc_Message_Oagent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3235]) ).
thf(3650,plain,
! [SV1264: $i,SV866: $i,SV355: $i] :
( ( ( SV355 = SV866 )
= $true )
| ( ( ~ ( c_lessequals @ SV866 @ SV355 @ ( tc_fun @ SV1264 @ tc_bool ) )
| ~ ( c_lessequals @ SV355 @ SV866 @ ( tc_fun @ SV1264 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3236]) ).
thf(3651,plain,
! [SV1265: $i,SV867: $i,SV356: $i] :
( ( ( SV356 = SV867 )
= $true )
| ( ( ~ ( c_lessequals @ SV867 @ SV356 @ ( tc_fun @ SV1265 @ tc_bool ) )
| ~ ( c_lessequals @ SV356 @ SV867 @ ( tc_fun @ SV1265 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3237]) ).
thf(3652,plain,
! [SV1266: $i,SV868: $i,SV357: $i] :
( ( ( ~ ( class_Orderings_Oorder @ SV357 ) )
= $true )
| ( ( ( SV868 = SV1266 )
| ~ ( c_lessequals @ SV1266 @ SV868 @ SV357 )
| ~ ( c_lessequals @ SV868 @ SV1266 @ SV357 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3238]) ).
thf(3653,plain,
! [SV1267: $i,SV869: $i,SV358: $i] :
( ( ( ~ ( class_Orderings_Oorder @ SV358 ) )
= $true )
| ( ( ( SV869 = SV1267 )
| ~ ( c_lessequals @ SV1267 @ SV869 @ SV358 )
| ~ ( c_lessequals @ SV869 @ SV1267 @ SV358 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3239]) ).
thf(3654,plain,
! [SV1268: $i,SV870: $i,SV359: $i] :
( ( ( ~ ( class_Orderings_Oorder @ SV359 ) )
= $true )
| ( ( ( SV870 = SV1268 )
| ~ ( c_lessequals @ SV870 @ SV1268 @ SV359 )
| ~ ( c_lessequals @ SV1268 @ SV870 @ SV359 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3240]) ).
thf(3655,plain,
! [SV874: $i,SV363: $i] :
( ( ( class_Orderings_Otop @ SV363 )
= $false )
| ( ( c_lessequals @ SV874 @ ( c_Orderings_Otop__class_Otop @ SV363 ) @ SV363 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3243]) ).
thf(3656,plain,
! [SV1491: $i,SV1271: $i,SV875: $i,SV364: $i] :
( ( ~ ( class_Orderings_Oorder @ SV364 )
| ( c_lessequals @ SV875 @ SV1271 @ SV364 )
| ~ ( c_lessequals @ SV875 @ SV1491 @ SV364 )
| ~ ( c_lessequals @ SV1491 @ SV1271 @ SV364 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3244]) ).
thf(3657,plain,
! [SV1492: $i,SV1272: $i,SV876: $i,SV365: $i] :
( ( ~ ( class_Orderings_Opreorder @ SV365 )
| ( c_lessequals @ SV876 @ SV1272 @ SV365 )
| ~ ( c_lessequals @ SV1492 @ SV1272 @ SV365 )
| ~ ( c_lessequals @ SV876 @ SV1492 @ SV365 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3245]) ).
thf(3658,plain,
! [SV1493: $i,SV1273: $i,SV879: $i,SV368: $i] :
( ( ( c_lessequals @ SV368 @ SV879 @ ( tc_fun @ SV1273 @ tc_bool ) )
| ~ ( c_lessequals @ SV1493 @ SV879 @ ( tc_fun @ SV1273 @ tc_bool ) )
| ~ ( c_lessequals @ SV368 @ SV1493 @ ( tc_fun @ SV1273 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3246]) ).
thf(3659,plain,
! [SV1494: $i,SV1274: $i,SV880: $i,SV369: $i] :
( ( ( hBOOL @ ( hAPP @ SV369 @ SV880 ) )
| ~ ( hBOOL @ ( hAPP @ SV1274 @ SV880 ) )
| ~ ( c_lessequals @ SV1274 @ SV369 @ ( tc_fun @ SV1494 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3247]) ).
thf(3660,plain,
! [SV881: $i,SV370: $i] :
( ( ( class_Orderings_Oorder @ SV370 )
= $false )
| ( ( c_lessequals @ SV881 @ SV881 @ SV370 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3248]) ).
thf(3661,plain,
! [SV882: $i,SV371: $i] :
( ( ( class_Orderings_Opreorder @ SV371 )
= $false )
| ( ( c_lessequals @ SV882 @ SV882 @ SV371 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3249]) ).
thf(3662,plain,
! [SV1495: $i,SV1275: $i,SV883: $i,SV372: $i] :
( ( ( hBOOL @ ( hAPP @ SV372 @ SV883 ) )
| ~ ( c_lessequals @ SV1275 @ SV372 @ ( tc_fun @ SV1495 @ tc_bool ) )
| ~ ( hBOOL @ ( hAPP @ SV1275 @ SV883 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3250]) ).
thf(3663,plain,
! [SV1496: $i,SV1277: $i,SV885: $i,SV374: $i] :
( ( c_lessequals @ ( c_Event_Oknows @ SV374 @ SV885 ) @ ( c_Event_Oknows @ SV374 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV1277 @ SV1496 ) @ SV885 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3252]) ).
thf(3664,plain,
! [SV1497: $i,SV1278: $i,SV886: $i,SV375: $i] :
( ( ! [SY3758: $i] :
( ( c_lessequals @ ( c_Set_Oimage @ SV375 @ SV886 @ SV1278 @ SV1497 ) @ ( c_Set_Oimage @ SV375 @ SY3758 @ SV1278 @ SV1497 ) @ ( tc_fun @ SV1497 @ tc_bool ) )
| ~ ( c_lessequals @ SV886 @ SY3758 @ ( tc_fun @ SV1278 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3253]) ).
thf(3665,plain,
! [SV1498: $i,SV1279: $i,SV887: $i,SV376: $i] :
( ( ! [SY3759: $i] :
( ~ ( c_lessequals @ SV376 @ SV887 @ ( tc_fun @ SV1279 @ tc_bool ) )
| ( c_lessequals @ ( c_Set_Oimage @ SV1498 @ SV376 @ SV1279 @ SY3759 ) @ ( c_Set_Oimage @ SV1498 @ SV887 @ SV1279 @ SY3759 ) @ ( tc_fun @ SY3759 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3254]) ).
thf(3666,plain,
! [SV1281: $i,SV889: $i,SV378: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV378 ) )
= $true )
| ( ( ( c_lessequals @ SV889 @ SV1281 @ SV378 )
| ( c_lessequals @ SV1281 @ SV889 @ SV378 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3256]) ).
thf(3667,plain,
! [SV890: $i,SV379: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV379 ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV890 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV890 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV379 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3257]) ).
thf(3668,plain,
! [SV891: $i,SV380: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV380 ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV891 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV891 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV380 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3258]) ).
thf(3669,plain,
! [SV892: $i,SV381: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV381 @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV892 @ 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 @ SV381 ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV892 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3259]) ).
thf(3670,plain,
! [SV1282: $i,SV893: $i,SV383: $i] :
( ( ( hBOOL @ ( c_in @ SV383 @ ( c_Message_OkeysFor @ SV893 ) @ tc_nat ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV383 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV383 @ SV1282 ) @ SV893 @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3260]) ).
thf(3671,plain,
! [SV1283: $i,SV894: $i,SV384: $i] :
( ( ( hBOOL @ ( c_in @ SV384 @ ( c_Event_Oknows @ SV894 @ SV1283 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SV894 @ SV384 ) @ ( c_List_Oset @ SV1283 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3261]) ).
thf(3672,plain,
! [SV1284: $i,SV895: $i,SV385: $i] :
( ( ( hBOOL @ ( c_in @ SV385 @ ( c_Event_Oused @ SV895 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SV1284 @ SV385 ) @ ( c_List_Oset @ SV895 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3262]) ).
thf(3673,plain,
! [SV1499: $i,SV1286: $i,SV897: $i,SV387: $i] :
( ( ! [SY3760: $i] :
( ~ ( hBOOL @ ( c_in @ SV387 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV897 ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV387 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV1286 @ SV1499 @ SY3760 ) @ SV897 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3264]) ).
thf(3674,plain,
! [SV1500: $i,SV1287: $i,SV898: $i,SV388: $i] :
( ( ! [SY3761: $i,SY3762: $i,SY3763: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV388 @ SV898 @ SV1287 ) @ SV1500 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV388 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV388 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV898 ) @ ( c_Message_Omsg_ONonce @ SY3761 ) ) ) ) @ ( c_List_Oset @ SV1500 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3762 @ SV388 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV388 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3761 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV898 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3763 ) @ SV1287 ) ) ) ) ) @ ( c_List_Oset @ SV1500 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV388 = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1500 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3265]) ).
thf(3675,plain,
! [SV1501: $i,SV1288: $i,SV899: $i,SV389: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV389 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV389 ) @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1 @ SV389 @ SV899 @ SV1288 @ SV1501 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV899 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1288 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV899 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1288 ) @ ( c_Message_Omsg_OAgent @ SV389 ) ) ) ) ) ) ) ) @ ( c_List_Oset @ SV1501 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1501 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SV899 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV899 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1288 ) @ ( c_Message_Omsg_OAgent @ SV389 ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1501 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3266]) ).
thf(3676,plain,
! [SV1289: $i,SV900: $i,SV390: $i] :
( ( ( hBOOL @ ( c_in @ SV390 @ ( c_Event_Oknows @ SV900 @ SV1289 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OGets @ SV900 @ SV390 ) @ ( c_List_Oset @ SV1289 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV900 = c_Message_Oagent_OSpy ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3267]) ).
thf(3677,plain,
! [SV1502: $i,SV1290: $i,SV901: $i,SV391: $i] :
( ( ! [SY3764: $i,SY3765: $i] :
( ( SV391
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV901 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1290 ) @ ( c_Message_Omsg_OAgent @ SV1502 ) ) ) )
| ~ ( hBOOL @ ( c_in @ SY3764 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SV1502 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1502 ) @ ( c_Message_Omsg_OMPair @ SY3765 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV901 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1290 ) @ SV391 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY3764 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3268]) ).
thf(3678,plain,
! [SV1503: $i,SV1291: $i,SV902: $i,SV392: $i] :
( ( ! [SY3766: $i,SY3767: $i,SY3768: $i,SY3769: $i,SY3770: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV392 @ SV902 @ ( c_Message_Omsg_OCrypt @ SV1291 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1503 ) @ ( c_Message_Omsg_ONonce @ SV1503 ) ) ) ) @ SY3766 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3767 @ SV392 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV392 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3768 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV902 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1291 ) @ SY3769 ) ) ) ) ) @ ( c_List_Oset @ SY3766 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3770 @ SV392 @ ( c_Message_Omsg_OCrypt @ SV1291 @ ( c_Message_Omsg_ONonce @ SV1503 ) ) ) @ ( c_List_Oset @ SY3766 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1291 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SY3766 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3269]) ).
thf(3679,plain,
! [SV1504: $i,SV1292: $i,SV903: $i,SV393: $i] :
( ( ! [SY3771: $i,SY3772: $i,SY3773: $i] :
( ~ ( hBOOL @ ( c_in @ SV393 @ ( 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 @ SV903 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1292 @ ( c_Message_Omsg_OCrypt @ SV1504 @ ( c_Message_Omsg_OMPair @ SY3771 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3772 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV393 ) @ SY3773 ) ) ) ) ) @ ( c_List_Oset @ SV903 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3270]) ).
thf(3680,plain,
! [SV1505: $i,SV1293: $i,SV904: $i,SV394: $i] :
( ( ! [SY3774: $i,SY3775: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV394 @ SV904 @ ( c_Message_Omsg_OCrypt @ SV1293 @ ( c_Message_Omsg_ONonce @ SV1505 ) ) ) @ SY3774 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3775 @ SV394 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV394 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1293 ) @ ( c_Message_Omsg_OAgent @ SV904 ) ) ) ) @ ( c_List_Oset @ SY3774 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1293 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1505 ) @ ( c_Event_Oused @ SY3774 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SY3774 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3271]) ).
thf(3681,plain,
! [SV1506: $i,SV1294: $i,SV905: $i,SV395: $i] :
( ( ! [SY3776: $i,SY3777: $i,SY3778: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV395 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV905 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV1294 ) ) ) ) @ SV1506 @ 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 @ SY3776 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3776 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV395 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3777 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1294 ) @ SY3778 ) ) ) ) ) @ ( c_List_Oset @ SV1506 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3777 @ SY3776 @ ( c_Message_Omsg_OCrypt @ SV1294 @ ( c_Message_Omsg_ONonce @ SV905 ) ) ) @ ( c_List_Oset @ SV1506 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1506 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3272]) ).
thf(3682,plain,
! [SV1507: $i,SV1295: $i,SV906: $i,SV396: $i] :
( ( ! [SY3779: $i,SY3780: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV396 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV396 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV906 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1295 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1507 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1295 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1507 ) @ ( c_Message_Omsg_OAgent @ SV396 ) ) ) ) ) ) ) ) @ SY3779 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3780 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV396 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1295 ) @ ( c_Message_Omsg_ONonce @ SV906 ) ) ) ) @ ( c_List_Oset @ SY3779 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1507 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1507 ) @ ( c_Event_Oused @ SY3779 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SY3779 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3273]) ).
thf(3683,plain,
! [SV1508: $i,SV1296: $i,SV907: $i,SV397: $i] :
( ( ! [SY3781: $i,SY3782: $i] :
( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV397 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV397 ) @ ( c_Message_Omsg_OMPair @ SV907 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1296 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1508 ) @ SY3781 ) ) ) ) ) @ ( c_List_Oset @ SY3782 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SY3782 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SV397 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV397 ) @ ( c_Message_Omsg_OMPair @ SV907 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1296 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1508 ) @ SY3781 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY3782 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3274]) ).
thf(3684,plain,
! [SV1509: $i,SV1297: $i,SV908: $i,SV398: $i] :
( ( ! [SY3783: $i,SY3784: $i,SY3785: $i] :
( ( hBOOL @ ( c_in @ SV398 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV908 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1297 @ ( 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 @ SV908 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1509 @ SY3783 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3783 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3784 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3785 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1297 ) @ SV398 ) ) ) ) ) @ ( c_List_Oset @ SV908 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3275]) ).
thf(3685,plain,
! [SV1510: $i,SV1298: $i,SV909: $i,SV399: $i] :
( ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV399 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV399 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV909 ) @ ( c_Message_Omsg_ONonce @ SV1298 ) ) ) ) @ SV1510 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1298 ) @ ( 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)],[3276]) ).
thf(3686,plain,
! [SV910: $i,SV400: $i] :
( ( ( hBOOL @ ( c_in @ SV400 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV910 ) ) ) @ tc_nat ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV910 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ SV400 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV400 ) @ ( c_Event_Oused @ SV910 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3277]) ).
thf(3687,plain,
! [SV1511: $i,SV1299: $i,SV911: $i,SV401: $i] :
( ( ! [SY3786: $i,SY3787: $i,SY3788: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV401 @ SV911 @ SV1299 ) @ SV1511 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV401 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV401 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV911 ) @ ( c_Message_Omsg_ONonce @ SY3786 ) ) ) ) @ ( c_List_Oset @ SV1511 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3787 @ SV401 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV401 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3786 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV911 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3788 ) @ SV1299 ) ) ) ) ) @ ( c_List_Oset @ SV1511 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV401 = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_in @ SV1511 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3278]) ).
thf(3688,plain,
! [SV1512: $i,SV1300: $i,SV912: $i,SV402: $i] :
( ( ! [SY3789: $i,SY3790: $i,SY3791: $i,SY3792: $i,SY3793: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV402 @ SV912 @ ( c_Message_Omsg_OCrypt @ SV1300 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1512 ) @ ( c_Message_Omsg_ONonce @ SV1512 ) ) ) ) @ SY3789 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3790 @ SV402 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV402 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3791 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV912 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1300 ) @ SY3792 ) ) ) ) ) @ ( c_List_Oset @ SY3789 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3793 @ SV402 @ ( c_Message_Omsg_OCrypt @ SV1300 @ ( c_Message_Omsg_ONonce @ SV1512 ) ) ) @ ( c_List_Oset @ SY3789 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1300 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SY3789 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3279]) ).
thf(3689,plain,
! [SV1513: $i,SV1301: $i,SV913: $i,SV403: $i] :
( ( ! [SY3794: $i,SY3795: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV403 @ SV913 @ ( c_Message_Omsg_OCrypt @ SV1301 @ ( c_Message_Omsg_ONonce @ SV1513 ) ) ) @ SY3794 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3795 @ SV403 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV403 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1301 ) @ ( c_Message_Omsg_OAgent @ SV913 ) ) ) ) @ ( c_List_Oset @ SY3794 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1301 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1513 ) @ ( c_Event_Oused @ SY3794 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY3794 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3280]) ).
thf(3690,plain,
! [SV1514: $i,SV1302: $i,SV914: $i,SV404: $i] :
( ( ! [SY3796: $i,SY3797: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV404 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV404 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV914 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1302 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1514 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1302 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1514 ) @ ( c_Message_Omsg_OAgent @ SV404 ) ) ) ) ) ) ) ) @ SY3796 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3797 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV404 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1302 ) @ ( c_Message_Omsg_ONonce @ SV914 ) ) ) ) @ ( c_List_Oset @ SY3796 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1514 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1514 ) @ ( c_Event_Oused @ SY3796 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SY3796 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3281]) ).
thf(3691,plain,
! [SV1515: $i,SV1303: $i,SV915: $i,SV407: $i] :
( ( ( hBOOL @ ( c_in @ SV407 @ ( c_Event_Oknows @ SV915 @ SV1303 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV915 @ SV1515 @ SV407 ) @ ( c_List_Oset @ SV1303 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3282]) ).
thf(3692,plain,
! [SV1304: $i,SV916: $i,SV409: $i] :
( ( ( hBOOL @ ( c_in @ SV409 @ ( c_Message_Oanalz @ SV916 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV1304 @ SV409 ) @ ( c_Message_Oanalz @ SV916 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3283]) ).
thf(3693,plain,
! [SV1305: $i,SV917: $i,SV410: $i] :
( ( ( hBOOL @ ( c_in @ SV410 @ ( c_Message_Oanalz @ SV917 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV410 @ SV1305 ) @ ( c_Message_Oanalz @ SV917 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3284]) ).
thf(3694,plain,
! [SV1306: $i,SV918: $i,SV411: $i] :
( ( ( hBOOL @ ( c_in @ SV411 @ ( c_Message_Oparts @ SV918 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV1306 @ SV411 ) @ ( c_Message_Oparts @ SV918 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3285]) ).
thf(3695,plain,
! [SV1307: $i,SV919: $i,SV412: $i] :
( ( ( hBOOL @ ( c_in @ SV412 @ ( c_Message_Oparts @ SV919 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV412 @ SV1307 ) @ ( c_Message_Oparts @ SV919 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3286]) ).
thf(3696,plain,
! [SV1308: $i,SV920: $i,SV413: $i] :
( ( ( hBOOL @ ( c_in @ SV413 @ ( c_Event_Oused @ SV920 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV1308 @ SV413 ) @ ( c_Event_Oused @ SV920 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3287]) ).
thf(3697,plain,
! [SV1309: $i,SV921: $i,SV414: $i] :
( ( ( hBOOL @ ( c_in @ SV414 @ ( c_Event_Oused @ SV921 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV414 @ SV1309 ) @ ( c_Event_Oused @ SV921 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3288]) ).
thf(3698,plain,
! [SV1310: $i,SV922: $i,SV415: $i] :
( ( ( hBOOL @ ( c_in @ SV415 @ ( c_Message_Oanalz @ SV922 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1310 ) @ ( c_Message_Oanalz @ SV922 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1310 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1310 @ SV415 ) @ ( c_Message_Oanalz @ SV922 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3289]) ).
thf(3699,plain,
! [SV923: $i,SV416: $i] :
( ( ( hBOOL @ ( c_in @ SV416 @ SV923 @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV416 @ ( c_Message_Oparts @ SV923 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3290]) ).
thf(3700,plain,
! [SV924: $i,SV417: $i] :
( ( ( hBOOL @ ( c_in @ SV417 @ SV924 @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV417 @ ( c_Message_Oanalz @ SV924 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3291]) ).
thf(3701,plain,
! [SV1516: $i,SV1311: $i,SV925: $i,SV418: $i] :
( ( ( hBOOL @ ( c_in @ SV418 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV925 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1311 @ SV1516 @ SV418 ) @ ( c_List_Oset @ SV925 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3292]) ).
thf(3702,plain,
! [SV1517: $i,SV1312: $i,SV926: $i,SV419: $i] :
( ( ( hBOOL @ ( c_in @ SV419 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV926 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1312 @ SV1517 @ SV419 ) @ ( c_List_Oset @ SV926 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3293]) ).
thf(3703,plain,
! [SV927: $i,SV420: $i] :
( ( ( hBOOL @ ( c_in @ SV420 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV927 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV420 @ ( c_Event_Oused @ SV927 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3294]) ).
thf(3704,plain,
! [SV1518: $i,SV1313: $i,SV928: $i,SV421: $i] :
( ( ! [SY3798: $i,SY3799: $i,SY3800: $i,SY3801: $i] :
( ( hBOOL @ ( c_in @ SV421 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV928 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1313 @ SV1518 @ ( c_Message_Omsg_OCrypt @ SY3798 @ ( c_Message_Omsg_OMPair @ SY3799 @ ( c_Message_Omsg_OMPair @ SY3800 @ ( c_Message_Omsg_OMPair @ SY3801 @ SV421 ) ) ) ) ) @ ( c_List_Oset @ SV928 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3295]) ).
thf(3705,plain,
! [SV1519: $i,SV1314: $i,SV929: $i,SV424: $i] :
( ( ! [SY3802: $i,SY3803: $i,SY3804: $i] :
( ( SV424
= ( hAPP @ c_Public_OshrK @ SV929 ) )
| ~ ( hBOOL @ ( c_in @ SV1314 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV929 @ ( c_Message_Omsg_OCrypt @ SV424 @ ( c_Message_Omsg_OMPair @ SV1519 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3802 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3803 ) @ SY3804 ) ) ) ) ) @ ( c_List_Oset @ SV1314 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3296]) ).
thf(3706,plain,
! [SV1315: $i,SV930: $i,SV425: $i] :
( ( ( hBOOL @ ( c_in @ SV425 @ ( c_Message_Oparts @ SV930 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1315 @ SV425 ) @ ( c_Message_Oparts @ SV930 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3297]) ).
thf(3707,plain,
! [SV1316: $i,SV931: $i,SV426: $i] :
( ( ( hBOOL @ ( c_in @ SV426 @ ( c_Message_Oanalz @ SV931 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV1316 ) ) @ ( c_Message_Oanalz @ SV931 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1316 ) @ SV426 ) @ ( c_Message_Oanalz @ SV931 ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3298]) ).
thf(3708,plain,
! [SV1520: $i,SV1317: $i,SV932: $i,SV427: $i] :
( ( ( hBOOL @ ( c_in @ SV427 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV932 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1317 @ SV1520 @ SV427 ) @ ( c_List_Oset @ SV932 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3299]) ).
thf(3709,plain,
! [SV933: $i,SV428: $i] :
( ( ( hBOOL @ ( c_in @ SV428 @ ( c_Message_Oparts @ ( c_Message_Oparts @ SV933 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV428 @ ( c_Message_Oparts @ SV933 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3300]) ).
thf(3710,plain,
! [SV1521: $i,SV1318: $i,SV934: $i,SV429: $i] :
( ( ! [SY3805: $i,SY3806: $i,SY3807: $i,SY3808: $i,SY3809: $i,SY3810: $i] :
( ( SV429 = SV934 )
| ~ ( hBOOL @ ( c_in @ SV1318 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV934 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV934 ) @ ( c_Message_Omsg_OMPair @ SV1521 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3805 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3806 ) @ SY3807 ) ) ) ) ) @ ( c_List_Oset @ SV1318 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV429 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV429 ) @ ( c_Message_Omsg_OMPair @ SY3808 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3809 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3806 ) @ SY3810 ) ) ) ) ) @ ( c_List_Oset @ SV1318 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3301]) ).
thf(3711,plain,
! [SV1522: $i,SV1319: $i,SV935: $i,SV430: $i] :
( ( ! [SY3811: $i,SY3812: $i,SY3813: $i,SY3814: $i,SY3815: $i,SY3816: $i] :
( ( SV430 = SV935 )
| ~ ( hBOOL @ ( c_in @ SV1319 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1522 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1522 ) @ ( c_Message_Omsg_OMPair @ SV935 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3811 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3812 ) @ SY3813 ) ) ) ) ) @ ( c_List_Oset @ SV1319 @ 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 @ SV430 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3815 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3812 ) @ SY3816 ) ) ) ) ) @ ( c_List_Oset @ SV1319 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3302]) ).
thf(3712,plain,
! [SV1523: $i,SV1320: $i,SV936: $i,SV431: $i] :
( ( ! [SY3817: $i,SY3818: $i,SY3819: $i,SY3820: $i,SY3821: $i,SY3822: $i] :
( ( SV431 = SV936 )
| ~ ( hBOOL @ ( c_in @ SV1320 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1523 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1523 ) @ ( c_Message_Omsg_OMPair @ SY3817 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV936 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3818 ) @ SY3819 ) ) ) ) ) @ ( c_List_Oset @ SV1320 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3820 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3820 ) @ ( c_Message_Omsg_OMPair @ SY3821 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV431 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3818 ) @ SY3822 ) ) ) ) ) @ ( c_List_Oset @ SV1320 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3303]) ).
thf(3713,plain,
! [SV1524: $i,SV1321: $i,SV937: $i,SV432: $i] :
( ( ! [SY3823: $i,SY3824: $i,SY3825: $i,SY3826: $i,SY3827: $i,SY3828: $i] :
( ( SV432 = SV937 )
| ~ ( hBOOL @ ( c_in @ SV1321 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1524 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1524 ) @ ( c_Message_Omsg_OMPair @ SY3823 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3824 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3825 ) @ SV937 ) ) ) ) ) @ ( c_List_Oset @ SV1321 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3826 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3826 ) @ ( c_Message_Omsg_OMPair @ SY3827 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3828 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3825 ) @ SV432 ) ) ) ) ) @ ( c_List_Oset @ SV1321 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3304]) ).
thf(3714,plain,
! [SV1525: $i,SV1322: $i,SV938: $i,SV433: $i] :
( ( ! [SY3829: $i,SY3830: $i] :
( ( hBOOL @ ( c_in @ SV433 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV938 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1322 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1322 ) @ ( c_Message_Omsg_OMPair @ SV1525 @ ( c_Message_Omsg_OMPair @ SY3829 @ ( c_Message_Omsg_OMPair @ SV433 @ SY3830 ) ) ) ) ) @ ( c_List_Oset @ SV938 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3305]) ).
thf(3715,plain,
! [SV1526: $i,SV1323: $i,SV939: $i,SV434: $i] :
( ( ( hBOOL @ ( c_in @ SV434 @ ( c_Event_Oused @ SV939 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1323 @ SV1526 @ SV434 ) @ ( c_List_Oset @ SV939 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3306]) ).
thf(3716,plain,
! [SV941: $i,SV436: $i] :
( ( ( hBOOL @ ( c_in @ SV436 @ ( c_Message_Oanalz @ ( c_Message_Oanalz @ SV941 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV436 @ ( c_Message_Oanalz @ SV941 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3307]) ).
thf(3717,plain,
! [SV1324: $i,SV942: $i,SV437: $i] :
( ( ( hBOOL @ ( c_in @ SV437 @ SV942 @ SV1324 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV942 @ SV437 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3308]) ).
thf(3718,plain,
! [SV1325: $i,SV943: $i,SV438: $i] :
( ( ( hBOOL @ ( hAPP @ SV438 @ SV943 ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV943 @ SV438 @ SV1325 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3309]) ).
thf(3719,plain,
! [SV1527: $i,SV1326: $i,SV944: $i,SV439: $i] :
( ( ! [SY3831: $i,SY3832: $i,SY3833: $i] :
( ( hBOOL @ ( c_in @ SV439 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV944 ) ) @ tc_Message_Omsg ) )
| ( SV439
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1326 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1527 ) @ ( c_Message_Omsg_OAgent @ SY3831 ) ) ) )
| ~ ( hBOOL @ ( c_in @ SV944 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3832 @ SY3831 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3831 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3833 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1326 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1527 ) @ SV439 ) ) ) ) ) @ ( c_List_Oset @ SV944 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3310]) ).
thf(3720,plain,
! [SV1528: $i,SV1327: $i,SV945: $i,SV440: $i] :
( ( ! [SY3834: $i,SY3835: $i,SY3836: $i] :
( ( SV440
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV945 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1327 ) @ ( c_Message_Omsg_OAgent @ SV1528 ) ) ) )
| ~ ( hBOOL @ ( c_in @ SY3834 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1528 @ ( c_Message_Omsg_OCrypt @ SY3835 @ ( c_Message_Omsg_OMPair @ SY3836 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV945 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1327 ) @ SV440 ) ) ) ) ) @ ( c_List_Oset @ SY3834 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3311]) ).
thf(3721,plain,
! [SV948: $i,SV443: $i] :
( ( ( hBOOL @ ( c_in @ SV443 @ ( c_Message_Oanalz @ SV948 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV443 @ ( c_Message_Oparts @ SV948 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3312]) ).
thf(3722,plain,
! [SV949: $i,SV444: $i] :
( ( ( hBOOL @ ( c_in @ SV444 @ ( c_Message_Oanalz @ SV949 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV444 @ ( c_Message_Oparts @ SV949 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3313]) ).
thf(3723,plain,
! [SV950: $i,SV445: $i] :
( ( ( hBOOL @ ( c_in @ SV445 @ ( c_Message_Oanalz @ SV950 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV445 @ ( c_Message_Oparts @ SV950 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3314]) ).
thf(3724,plain,
! [SV446: $i,SV951: $i] :
( ( ( class_Lattices_Olattice @ SV951 )
= $false )
| ( ( class_Lattices_Oupper__semilattice @ ( tc_fun @ SV446 @ SV951 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3315]) ).
thf(3725,plain,
! [SV447: $i,SV952: $i] :
( ( ( class_Lattices_Obounded__lattice @ SV952 )
= $false )
| ( ( class_Lattices_Obounded__lattice @ ( tc_fun @ SV447 @ SV952 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3316]) ).
thf(3726,plain,
! [SV448: $i,SV953: $i] :
( ( ( class_Lattices_Oboolean__algebra @ SV953 )
= $false )
| ( ( class_Lattices_Oboolean__algebra @ ( tc_fun @ SV448 @ SV953 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3317]) ).
thf(3727,plain,
! [SV449: $i,SV954: $i] :
( ( ( class_Orderings_Opreorder @ SV954 )
= $false )
| ( ( class_Orderings_Opreorder @ ( tc_fun @ SV449 @ SV954 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3318]) ).
thf(3728,plain,
! [SV450: $i,SV955: $i] :
( ( ( class_Lattices_Olattice @ SV955 )
= $false )
| ( ( class_Lattices_Olattice @ ( tc_fun @ SV450 @ SV955 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3319]) ).
thf(3729,plain,
! [SV451: $i,SV956: $i] :
( ( ( class_Orderings_Oorder @ SV956 )
= $false )
| ( ( class_Orderings_Oorder @ ( tc_fun @ SV451 @ SV956 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3320]) ).
thf(3730,plain,
! [SV452: $i,SV957: $i] :
( ( ( class_Orderings_Otop @ SV957 )
= $false )
| ( ( class_Orderings_Otop @ ( tc_fun @ SV452 @ SV957 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3321]) ).
thf(3731,plain,
! [SV453: $i,SV958: $i] :
( ( ( class_Orderings_Obot @ SV958 )
= $false )
| ( ( class_Orderings_Obot @ ( tc_fun @ SV453 @ SV958 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3322]) ).
thf(3732,plain,
! [SV454: $i,SV959: $i] :
( ( ( class_HOL_Ouminus @ SV959 )
= $false )
| ( ( class_HOL_Ouminus @ ( tc_fun @ SV454 @ SV959 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3323]) ).
thf(3733,plain,
! [SV455: $i,SV960: $i] :
( ( ( class_HOL_Oord @ SV960 )
= $false )
| ( ( class_HOL_Oord @ ( tc_fun @ SV455 @ SV960 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3324]) ).
thf(3734,plain,
! [SV1328: $i,SV962: $i,SV457: $i] :
( ( ( SV457 = SV962 )
= $true )
| ( ( ~ ( c_fequal @ SV457 @ SV962 @ SV1328 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3325]) ).
thf(3735,plain,
! [SV1529: $i,SV1329: $i,SV965: $i,SV460: $i] :
( ( ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV460 ) @ SV965 ) )
!= ( hAPP @ ( c_Public_OpublicKey @ SV1329 ) @ SV1529 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3328]) ).
thf(3736,plain,
! [SV1330: $i,SV967: $i,SV462: $i] :
( ( ( c_List_Olist_OCons @ SV462 @ SV967 @ SV1330 )
= SV967 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3330]) ).
thf(3737,plain,
! [SV1331: $i,SV968: $i,SV464: $i] :
( ( ( c_List_Olist_ONil @ SV464 )
= ( c_List_Olist_OCons @ SV968 @ SV1331 @ SV464 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3331]) ).
thf(3738,plain,
! [SV1332: $i,SV969: $i,SV465: $i] :
( ( ( c_List_Olist_OCons @ SV465 @ SV969 @ SV1332 )
= ( c_List_Olist_ONil @ SV1332 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3332]) ).
thf(3739,plain,
! [SV1530: $i,SV1333: $i,SV970: $i,SV466: $i] :
( ( ( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV466 @ tc_bool ) )
!= ( c_Set_Oimage @ SV970 @ SV1333 @ SV1530 @ SV466 ) )
| ( SV1333
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1530 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3333]) ).
thf(3740,plain,
! [SV1531: $i,SV1334: $i,SV971: $i,SV467: $i] :
( ( ( ( c_Message_Omsg_OMPair @ SV467 @ SV971 )
!= ( c_Message_Omsg_OMPair @ SV1334 @ SV1531 ) )
| ( SV467 = SV1334 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3334]) ).
thf(3741,plain,
! [SV1532: $i,SV1335: $i,SV973: $i,SV469: $i] :
( ( ! [SY3837: $i] :
( ( ( c_Set_Oinsert @ SV469 @ ( c_Set_Oinsert @ SV973 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1335 @ tc_bool ) ) @ SV1335 ) @ SV1335 )
!= ( c_Set_Oinsert @ SV1532 @ ( c_Set_Oinsert @ SY3837 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1335 @ tc_bool ) ) @ SV1335 ) @ SV1335 ) )
| ( SV469 = SY3837 )
| ( SV469 = SV1532 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3336]) ).
thf(3742,plain,
! [SV1533: $i,SV1336: $i,SV974: $i,SV470: $i] :
( ( ( c_Message_Omsg_OMPair @ SV470 @ SV974 )
!= ( c_Message_Omsg_OCrypt @ SV1336 @ SV1533 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3337]) ).
thf(3743,plain,
! [SV1337: $i,SV975: $i,SV471: $i] :
( ( ( ( c_HOL_Ouminus__class_Ouminus @ SV471 @ ( tc_fun @ SV975 @ tc_bool ) )
!= ( c_HOL_Ouminus__class_Ouminus @ SV1337 @ ( tc_fun @ SV975 @ tc_bool ) ) )
= $true )
| ( ( SV471 = SV1337 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3338]) ).
thf(3744,plain,
! [SV1338: $i,SV976: $i,SV472: $i] :
( ( ( hAPP @ c_Message_Omsg_OKey @ SV472 )
= ( c_Message_Omsg_OCrypt @ SV976 @ SV1338 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3339]) ).
thf(3745,plain,
! [SV1534: $i,SV1339: $i,SV977: $i,SV473: $i] :
( ( ( ( c_Event_Oevent_OGets @ SV473 @ SV977 )
!= ( c_Event_Oevent_OGets @ SV1339 @ SV1534 ) )
| ( SV473 = SV1339 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3340]) ).
thf(3746,plain,
! [SV1340: $i,SV978: $i,SV474: $i] :
( ( SV474
= ( c_List_Olist_OCons @ SV978 @ SV474 @ SV1340 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3341]) ).
thf(3747,plain,
! [SV1535: $i,SV1341: $i,SV981: $i,SV477: $i] :
( ( ( ( hAPP @ ( c_Public_OpublicKey @ SV477 ) @ SV981 )
!= ( hAPP @ ( c_Public_OpublicKey @ SV1341 ) @ SV1535 ) )
| ( SV477 = SV1341 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3344]) ).
thf(3748,plain,
! [SV1342: $i,SV982: $i,SV478: $i] :
( ( ( c_Message_Omsg_OAgent @ SV478 )
= ( c_Message_Omsg_OCrypt @ SV982 @ SV1342 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3345]) ).
thf(3749,plain,
! [SV1536: $i,SV1343: $i,SV983: $i,SV479: $i] :
( ( ! [SY3838: $i] :
( ( ( c_List_Olist_OCons @ SV479 @ SV983 @ SV1343 )
!= ( c_List_Olist_OCons @ SV1536 @ SY3838 @ SV1343 ) )
| ( SV983 = SY3838 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3346]) ).
thf(3750,plain,
! [SV1344: $i,SV984: $i,SV480: $i] :
( ( ( c_Message_Omsg_ONonce @ SV480 )
= ( c_Message_Omsg_OMPair @ SV984 @ SV1344 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3347]) ).
thf(3751,plain,
! [SV1537: $i,SV1345: $i,SV985: $i,SV481: $i] :
( ( ! [SY3839: $i] :
( ( c_Event_Oevent_ONotes @ SV481 @ SV985 )
!= ( c_Event_Oevent_OSays @ SV1345 @ SV1537 @ SY3839 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3348]) ).
thf(3752,plain,
! [SV1346: $i,SV986: $i,SV482: $i] :
( ( ( c_Message_Omsg_OCrypt @ SV482 @ SV986 )
= ( hAPP @ c_Message_Omsg_OKey @ SV1346 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3349]) ).
thf(3753,plain,
! [SV1538: $i,SV1347: $i,SV987: $i,SV483: $i] :
( ( ( hAPP @ ( c_Public_OpublicKey @ SV483 ) @ SV987 )
!= ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV1347 ) @ SV1538 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3350]) ).
thf(3754,plain,
! [SV1348: $i,SV988: $i,SV484: $i] :
( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV484 @ SV988 @ ( tc_fun @ SV1348 @ tc_bool ) )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1348 @ tc_bool ) ) )
= $true )
| ( ( SV988
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1348 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3351]) ).
thf(3755,plain,
! [SV1349: $i,SV989: $i,SV485: $i] :
( ( ( c_Message_Omsg_OMPair @ SV485 @ SV989 )
= ( c_Message_Omsg_ONonce @ SV1349 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3352]) ).
thf(3756,plain,
! [SV1350: $i,SV990: $i,SV486: $i] :
( ( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV486 @ tc_bool ) )
= ( c_Set_Oinsert @ SV990 @ SV1350 @ SV486 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3353]) ).
thf(3757,plain,
! [SV1351: $i,SV991: $i,SV487: $i] :
( ( ( ( c_Message_Oanalz @ SV487 )
!= ( c_Message_Oanalz @ SV991 ) )
= $true )
| ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV1351 @ SV487 @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV1351 @ SV991 @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3354]) ).
thf(3758,plain,
! [SV1539: $i,SV1352: $i,SV992: $i,SV488: $i] :
( ( ( c_Event_Oevent_ONotes @ SV488 @ SV992 )
!= ( c_Event_Oevent_OGets @ SV1352 @ SV1539 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3355]) ).
thf(3759,plain,
! [SV1540: $i,SV1353: $i,SV993: $i,SV489: $i] :
( ( ( ( c_Message_Omsg_OMPair @ SV489 @ SV993 )
!= ( c_Message_Omsg_OMPair @ SV1353 @ SV1540 ) )
| ( SV993 = SV1540 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3356]) ).
thf(3760,plain,
! [SV1541: $i,SV1354: $i,SV994: $i,SV490: $i] :
( ( ( ( c_Event_Oevent_ONotes @ SV490 @ SV994 )
!= ( c_Event_Oevent_ONotes @ SV1354 @ SV1541 ) )
| ( SV994 = SV1541 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3357]) ).
thf(3761,plain,
! [SV1542: $i,SV1355: $i,SV995: $i,SV491: $i] :
( ( ( ( c_Message_Omsg_OCrypt @ SV491 @ SV995 )
!= ( c_Message_Omsg_OCrypt @ SV1355 @ SV1542 ) )
| ( SV995 = SV1542 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3358]) ).
thf(3762,plain,
! [SV996: $i,SV493: $i] :
( ( ( ( hAPP @ c_Public_OshrK @ SV493 )
= ( hAPP @ c_Public_OshrK @ SV996 ) )
= $false )
| ( ( SV493 = SV996 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3359]) ).
thf(3763,plain,
! [SV1543: $i,SV1356: $i,SV998: $i,SV495: $i] :
( ( ( ( c_Set_Oimage @ SV495 @ SV998 @ SV1356 @ SV1543 )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1543 @ tc_bool ) ) )
| ( SV998
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1356 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3361]) ).
thf(3764,plain,
! [SV1357: $i,SV999: $i,SV496: $i] :
( ( ( ~ ( class_Lattices_Oboolean__algebra @ SV496 ) )
= $true )
| ( ( ( ( c_HOL_Ouminus__class_Ouminus @ SV999 @ SV496 )
!= ( c_HOL_Ouminus__class_Ouminus @ SV1357 @ SV496 ) )
| ( SV999 = SV1357 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3362]) ).
thf(3765,plain,
! [SV1358: $i,SV1000: $i,SV498: $i] :
( ( ( hAPP @ ( c_Public_OpublicKey @ SV498 ) @ SV1000 )
= ( hAPP @ c_Public_OshrK @ SV1358 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3363]) ).
thf(3766,plain,
! [SV1544: $i,SV1359: $i,SV1001: $i,SV499: $i] :
( ( ! [SY3840: $i,SY3841: $i] :
( ( ( c_Event_Oevent_OSays @ SV499 @ SV1001 @ SV1359 )
!= ( c_Event_Oevent_OSays @ SV1544 @ SY3840 @ SY3841 ) )
| ( SV1359 = SY3841 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3364]) ).
thf(3767,plain,
! [SV1545: $i,SV1360: $i,SV1002: $i,SV500: $i] :
( ( ( ( c_Message_Omsg_OCrypt @ SV500 @ SV1002 )
!= ( c_Message_Omsg_OCrypt @ SV1360 @ SV1545 ) )
| ( SV500 = SV1360 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3365]) ).
thf(3768,plain,
! [SV1546: $i,SV1361: $i,SV1003: $i,SV501: $i] :
( ( ( c_Event_Oevent_OGets @ SV501 @ SV1003 )
!= ( c_Event_Oevent_ONotes @ SV1361 @ SV1546 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3366]) ).
thf(3769,plain,
! [SV1004: $i,SV502: $i] :
( ( ( ( c_List_Oset @ SV502 @ SV1004 )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1004 @ tc_bool ) ) )
= $false )
| ( ( SV502
= ( c_List_Olist_ONil @ SV1004 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3367]) ).
thf(3770,plain,
! [SV1362: $i,SV1005: $i,SV503: $i] :
( ( ( c_Message_Omsg_OCrypt @ SV503 @ SV1005 )
= ( c_Message_Omsg_OAgent @ SV1362 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3368]) ).
thf(3771,plain,
! [SV1363: $i,SV1006: $i,SV504: $i] :
( ( ( ~ ( class_Lattices_Oupper__semilattice @ SV504 ) )
= $true )
| ( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV1006 @ SV1363 @ SV504 )
!= SV1363 )
| ( c_lessequals @ SV1006 @ SV1363 @ SV504 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3369]) ).
thf(3772,plain,
! [SV1547: $i,SV1364: $i,SV1007: $i,SV505: $i] :
( ( ! [SY3842: $i] :
( ( c_Event_Oevent_OSays @ SV505 @ SV1007 @ SV1364 )
!= ( c_Event_Oevent_OGets @ SV1547 @ SY3842 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3370]) ).
thf(3773,plain,
! [SV1365: $i,SV1008: $i,SV506: $i] :
( ( ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV506 ) @ SV1008 ) )
= ( hAPP @ c_Public_OshrK @ SV1365 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3371]) ).
thf(3774,plain,
! [SV1548: $i,SV1366: $i,SV1009: $i,SV507: $i] :
( ( ! [SY3843: $i] :
( ( c_Event_Oevent_OGets @ SV507 @ SV1009 )
!= ( c_Event_Oevent_OSays @ SV1366 @ SV1548 @ SY3843 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3372]) ).
thf(3775,plain,
! [SV1010: $i,SV508: $i] :
( ( ( ( hAPP @ c_Message_Omsg_OKey @ SV508 )
= ( hAPP @ c_Message_Omsg_OKey @ SV1010 ) )
= $false )
| ( ( SV508 = SV1010 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3373]) ).
thf(3776,plain,
! [SV1011: $i,SV509: $i] :
( ( ( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV509 @ tc_bool ) )
= ( c_List_Oset @ SV1011 @ SV509 ) )
= $false )
| ( ( SV1011
= ( c_List_Olist_ONil @ SV509 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3374]) ).
thf(3777,plain,
! [SV1367: $i,SV1012: $i,SV510: $i] :
( ( ( c_Message_Omsg_ONonce @ SV510 )
= ( c_Message_Omsg_OCrypt @ SV1012 @ SV1367 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3375]) ).
thf(3778,plain,
! [SV1368: $i,SV1013: $i,SV511: $i] :
( ( ( ~ ( class_Lattices_Obounded__lattice @ SV511 ) )
= $true )
| ( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV1013 @ SV1368 @ SV511 )
!= ( c_Orderings_Obot__class_Obot @ SV511 ) )
| ( SV1013
= ( c_Orderings_Obot__class_Obot @ SV511 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3376]) ).
thf(3779,plain,
! [SV1549: $i,SV1369: $i,SV1014: $i,SV513: $i] :
( ( ( ( c_Message_Oanalz @ SV513 )
!= ( c_Message_Oanalz @ SV1014 ) )
| ( ( c_Message_Oanalz @ SV1369 )
!= ( c_Message_Oanalz @ SV1549 ) )
| ( ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1369 @ SV513 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1549 @ SV1014 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3377]) ).
thf(3780,plain,
! [SV1370: $i,SV1015: $i,SV514: $i] :
( ( ( ( c_Set_Oinsert @ SV514 @ SV1015 @ SV1370 )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1370 @ tc_bool ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV514 @ SV1015 @ SV1370 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3378]) ).
thf(3781,plain,
! [SV1371: $i,SV1016: $i,SV515: $i] :
( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV515 @ SV1016 @ ( tc_fun @ SV1371 @ tc_bool ) )
!= SV1016 )
= $true )
| ( ( c_lessequals @ SV515 @ SV1016 @ ( tc_fun @ SV1371 @ tc_bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3379]) ).
thf(3782,plain,
! [SV1372: $i,SV1017: $i,SV516: $i] :
( ( ( c_Message_Omsg_OMPair @ SV516 @ SV1017 )
= ( c_Message_Omsg_OAgent @ SV1372 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3380]) ).
thf(3783,plain,
! [SV1373: $i,SV1018: $i,SV517: $i] :
( ( ( c_Message_Omsg_OCrypt @ SV517 @ SV1018 )
= ( c_Message_Omsg_ONonce @ SV1373 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3381]) ).
thf(3784,plain,
! [SV1550: $i,SV1374: $i,SV1019: $i,SV518: $i] :
( ( ( ( c_Set_Oinsert @ SV518 @ SV1019 @ SV1374 )
!= ( c_Set_Oinsert @ SV518 @ SV1550 @ SV1374 ) )
| ( hBOOL @ ( c_in @ SV518 @ SV1550 @ SV1374 ) )
| ( hBOOL @ ( c_in @ SV518 @ SV1019 @ SV1374 ) )
| ( SV1019 = SV1550 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3382]) ).
thf(3785,plain,
! [SV1551: $i,SV1375: $i,SV1020: $i,SV519: $i] :
( ( ( c_Message_Omsg_OCrypt @ SV519 @ SV1020 )
!= ( c_Message_Omsg_OMPair @ SV1375 @ SV1551 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3383]) ).
thf(3786,plain,
! [SV1376: $i,SV1021: $i,SV520: $i] :
( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV520 @ SV1021 @ ( tc_fun @ SV1376 @ tc_bool ) )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1376 @ tc_bool ) ) )
= $true )
| ( ( SV520
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1376 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3384]) ).
thf(3787,plain,
! [SV1377: $i,SV1022: $i,SV521: $i] :
( ( ( c_Message_Omsg_OAgent @ SV521 )
= ( c_Message_Omsg_OMPair @ SV1022 @ SV1377 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3385]) ).
thf(3788,plain,
! [SV1552: $i,SV1378: $i,SV1023: $i,SV522: $i] :
( ( ! [SY3844: $i,SY3845: $i] :
( ( ( c_Event_Oevent_OSays @ SV522 @ SV1023 @ SV1378 )
!= ( c_Event_Oevent_OSays @ SV1552 @ SY3844 @ SY3845 ) )
| ( SV1023 = SY3844 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3386]) ).
thf(3789,plain,
! [SV1024: $i,SV523: $i] :
( ( ( ( c_Message_Omsg_OAgent @ SV523 )
= ( c_Message_Omsg_OAgent @ SV1024 ) )
= $false )
| ( ( SV523 = SV1024 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3387]) ).
thf(3790,plain,
! [SV1379: $i,SV1025: $i,SV524: $i] :
( ( ( hAPP @ c_Public_OshrK @ SV524 )
= ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV1025 ) @ SV1379 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3388]) ).
thf(3791,plain,
! [SV1380: $i,SV1026: $i,SV525: $i] :
( ( ( hAPP @ c_Public_OshrK @ SV525 )
= ( hAPP @ ( c_Public_OpublicKey @ SV1026 ) @ SV1380 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3389]) ).
thf(3792,plain,
! [SV1553: $i,SV1381: $i,SV1027: $i,SV526: $i] :
( ( ( ( hAPP @ ( c_Public_OpublicKey @ SV526 ) @ SV1027 )
!= ( hAPP @ ( c_Public_OpublicKey @ SV1381 ) @ SV1553 ) )
| ( SV1027 = SV1553 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3390]) ).
thf(3793,plain,
! [SV1382: $i,SV1028: $i,SV527: $i] :
( ( ( c_List_Olist_OCons @ SV527 @ SV1028 @ SV1382 )
= ( c_List_Olist_ONil @ SV1382 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3391]) ).
thf(3794,plain,
! [SV1383: $i,SV1029: $i,SV528: $i] :
( ( ( ~ ( class_OrderedGroup_Ogroup__add @ SV528 ) )
= $true )
| ( ( ( ( c_HOL_Ouminus__class_Ouminus @ SV1029 @ SV528 )
!= ( c_HOL_Ouminus__class_Ouminus @ SV1383 @ SV528 ) )
| ( SV1029 = SV1383 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3392]) ).
thf(3795,plain,
! [SV1554: $i,SV1384: $i,SV1030: $i,SV529: $i] :
( ( ( ( c_Event_Oevent_ONotes @ SV529 @ SV1030 )
!= ( c_Event_Oevent_ONotes @ SV1384 @ SV1554 ) )
| ( SV529 = SV1384 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3393]) ).
thf(3796,plain,
! [SV1555: $i,SV1385: $i,SV1031: $i,SV530: $i] :
( ( ! [SY3846: $i] :
( ( ( c_List_Olist_OCons @ SV530 @ SV1031 @ SV1385 )
!= ( c_List_Olist_OCons @ SV1555 @ SY3846 @ SV1385 ) )
| ( SV530 = SV1555 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3394]) ).
thf(3797,plain,
! [SV1556: $i,SV1386: $i,SV1032: $i,SV531: $i] :
( ( ! [SY3847: $i] :
( ( c_Event_Oevent_OSays @ SV531 @ SV1032 @ SV1386 )
!= ( c_Event_Oevent_ONotes @ SV1556 @ SY3847 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3395]) ).
thf(3798,plain,
! [SV1387: $i,SV1033: $i,SV532: $i] :
( ( ( ~ ( class_Lattices_Obounded__lattice @ SV532 ) )
= $true )
| ( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV1033 @ SV1387 @ SV532 )
!= ( c_Orderings_Obot__class_Obot @ SV532 ) )
| ( SV1387
= ( c_Orderings_Obot__class_Obot @ SV532 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3396]) ).
thf(3799,plain,
! [SV1034: $i,SV533: $i] :
( ( ( ( hAPP @ c_Message_OinvKey @ SV533 )
= ( hAPP @ c_Message_OinvKey @ SV1034 ) )
= $false )
| ( ( SV533 = SV1034 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3397]) ).
thf(3800,plain,
! [SV1035: $i,SV534: $i] :
( ( ( ( c_Message_Oagent_OFriend @ SV534 )
= ( c_Message_Oagent_OFriend @ SV1035 ) )
= $false )
| ( ( SV534 = SV1035 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3398]) ).
thf(3801,plain,
! [SV1557: $i,SV1388: $i,SV1036: $i,SV535: $i] :
( ( ! [SY3848: $i] :
( ( ( c_Set_Oinsert @ SV535 @ ( c_Set_Oinsert @ SV1036 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1388 @ tc_bool ) ) @ SV1388 ) @ SV1388 )
!= ( c_Set_Oinsert @ SV1557 @ ( c_Set_Oinsert @ SY3848 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1388 @ tc_bool ) ) @ SV1388 ) @ SV1388 ) )
| ( SV535 = SY3848 )
| ( SV1036 = SY3848 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3399]) ).
thf(3802,plain,
! [SV1558: $i,SV1389: $i,SV1037: $i,SV537: $i] :
( ( ! [SY3849: $i] :
( ( ( c_Set_Oinsert @ SV537 @ ( c_Set_Oinsert @ SV1037 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1389 @ tc_bool ) ) @ SV1389 ) @ SV1389 )
!= ( c_Set_Oinsert @ SV1558 @ ( c_Set_Oinsert @ SY3849 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1389 @ tc_bool ) ) @ SV1389 ) @ SV1389 ) )
| ( SV1037 = SV1558 )
| ( SV537 = SV1558 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3400]) ).
thf(3803,plain,
! [SV1390: $i,SV1038: $i,SV538: $i] :
( ( ( hAPP @ c_Message_Omsg_OKey @ SV538 )
= ( c_Message_Omsg_OMPair @ SV1038 @ SV1390 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3401]) ).
thf(3804,plain,
! [SV1559: $i,SV1391: $i,SV1039: $i,SV539: $i] :
( ( ! [SY3850: $i,SY3851: $i] :
( ( ( c_Event_Oevent_OSays @ SV539 @ SV1039 @ SV1391 )
!= ( c_Event_Oevent_OSays @ SV1559 @ SY3850 @ SY3851 ) )
| ( SV539 = SV1559 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3402]) ).
thf(3805,plain,
! [SV1392: $i,SV1040: $i,SV540: $i] :
( ( ( c_Set_Oinsert @ SV540 @ SV1040 @ SV1392 )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1392 @ tc_bool ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3403]) ).
thf(3806,plain,
! [SV1041: $i,SV541: $i] :
( ( ( ( c_Message_Omsg_ONonce @ SV541 )
= ( c_Message_Omsg_ONonce @ SV1041 ) )
= $false )
| ( ( SV541 = SV1041 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3404]) ).
thf(3807,plain,
! [SV1393: $i,SV1042: $i,SV542: $i] :
( ( ( ( c_Set_Oinsert @ SV542 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1042 @ tc_bool ) ) @ SV1042 )
!= ( c_Set_Oinsert @ SV1393 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1042 @ tc_bool ) ) @ SV1042 ) )
= $true )
| ( ( SV542 = SV1393 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3405]) ).
thf(3808,plain,
! [SV1560: $i,SV1394: $i,SV1043: $i,SV543: $i] :
( ( ( ( c_Event_Oevent_OGets @ SV543 @ SV1043 )
!= ( c_Event_Oevent_OGets @ SV1394 @ SV1560 ) )
| ( SV1043 = SV1560 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3406]) ).
thf(3809,plain,
! [SV1561: $i,SV1395: $i,SV1044: $i,SV544: $i] :
( ( ! [SY3852: $i] :
( ( ( c_Set_Oinsert @ SV544 @ ( c_Set_Oinsert @ SV1044 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1395 @ tc_bool ) ) @ SV1395 ) @ SV1395 )
!= ( c_Set_Oinsert @ SV1561 @ ( c_Set_Oinsert @ SY3852 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1395 @ tc_bool ) ) @ SV1395 ) @ SV1395 ) )
| ( SV1044 = SV1561 )
| ( SV1044 = SY3852 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3407]) ).
thf(3810,plain,
! [SV1396: $i,SV1045: $i,SV545: $i] :
( ( ( c_Message_Omsg_OMPair @ SV545 @ SV1045 )
= ( hAPP @ c_Message_Omsg_OKey @ SV1396 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3408]) ).
thf(3811,plain,
! [SV1: $i,SV1046: $i,SV546: $i] :
( ( ( hBOOL @ ( c_in @ SV546 @ SV1046 @ tc_Message_Oagent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV1 ) @ SV546 ) ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV1 ) @ SV1046 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3410]) ).
thf(3812,plain,
! [SV1397: $i,SV1047: $i,SV547: $i,SV2: $i] :
( ( ( hBOOL @ ( c_in @ SV2 @ SV547 @ tc_Message_Oagent ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV1047 ) @ SV2 ) ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV1397 ) @ SV547 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3411]) ).
thf(3813,plain,
! [SV1398: $i,SV1049: $i,SV549: $i,SV4: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV4 ) @ SV549 ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV1049 ) @ SV1398 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3413]) ).
thf(3814,plain,
! [SV1399: $i,SV1050: $i,SV550: $i,SV5: $i] :
( ( ( SV5 = SV550 )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV5 ) @ SV1050 ) ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV550 ) @ SV1399 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3414]) ).
thf(3815,plain,
! [SV1051: $i,SV553: $i,SV8: $i] :
( ( ( hBOOL @ ( c_in @ SV8 @ SV553 @ SV1051 ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV8 @ ( c_HOL_Ouminus__class_Ouminus @ SV553 @ ( tc_fun @ SV1051 @ tc_bool ) ) @ SV1051 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3417]) ).
thf(3816,plain,
! [SV1053: $i,SV555: $i,SV10: $i] :
( ( ( class_OrderedGroup_Opordered__ab__group__add @ SV10 )
= $false )
| ( ( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV555 @ SV10 ) @ SV1053 @ SV10 )
| ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV1053 @ SV10 ) @ SV555 @ SV10 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3419]) ).
thf(3817,plain,
! [SV1054: $i,SV556: $i,SV11: $i] :
( ( ( class_OrderedGroup_Opordered__ab__group__add @ SV11 )
= $false )
| ( ( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV556 @ SV11 ) @ SV1054 @ SV11 )
| ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV1054 @ SV11 ) @ SV556 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3420]) ).
thf(3818,plain,
! [SV1055: $i,SV557: $i,SV12: $i] :
( ( ( class_OrderedGroup_Opordered__ab__group__add @ SV12 )
= $false )
| ( ( ( c_lessequals @ SV557 @ ( c_HOL_Ouminus__class_Ouminus @ SV1055 @ SV12 ) @ SV12 )
| ~ ( c_lessequals @ SV1055 @ ( c_HOL_Ouminus__class_Ouminus @ SV557 @ SV12 ) @ SV12 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3421]) ).
thf(3819,plain,
! [SV1056: $i,SV558: $i,SV13: $i] :
( ( ( class_OrderedGroup_Opordered__ab__group__add @ SV13 )
= $false )
| ( ( ( c_lessequals @ SV558 @ ( c_HOL_Ouminus__class_Ouminus @ SV1056 @ SV13 ) @ SV13 )
| ~ ( c_lessequals @ SV1056 @ ( c_HOL_Ouminus__class_Ouminus @ SV558 @ SV13 ) @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3422]) ).
thf(3820,plain,
! [SV569: $i,SV24: $i] :
( ( ( hBOOL @ ( hAPP @ SV24 @ c_Public_Okeymode_OEncryption ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV24 @ c_Public_Okeymode_OSignature ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV24 @ SV569 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3430]) ).
thf(3821,plain,
! [SV1057: $i,SV570: $i,SV25: $i] :
( ( ( class_OrderedGroup_Opordered__ab__group__add @ SV25 )
= $false )
| ( ( ( c_lessequals @ SV570 @ SV1057 @ SV25 )
| ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV1057 @ SV25 ) @ ( c_HOL_Ouminus__class_Ouminus @ SV570 @ SV25 ) @ SV25 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3431]) ).
thf(3822,plain,
! [SV1058: $i,SV571: $i,SV26: $i] :
( ( ( class_OrderedGroup_Opordered__ab__group__add @ SV26 )
= $false )
| ( ( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV571 @ SV26 ) @ ( c_HOL_Ouminus__class_Ouminus @ SV1058 @ SV26 ) @ SV26 )
| ~ ( c_lessequals @ SV1058 @ SV571 @ SV26 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3432]) ).
thf(3823,plain,
! [SV572: $i,SV27: $i,SV1059: $i] :
( ( ( c_lessequals @ SV1059 @ SV27 @ ( tc_fun @ SV572 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV27 @ ( tc_fun @ SV572 @ tc_bool ) ) @ ( c_HOL_Ouminus__class_Ouminus @ SV1059 @ ( tc_fun @ SV572 @ tc_bool ) ) @ ( tc_fun @ SV572 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3433]) ).
thf(3824,plain,
! [SV28: $i,SV1060: $i,SV573: $i] :
( ( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV573 @ ( tc_fun @ SV1060 @ tc_bool ) ) @ ( c_HOL_Ouminus__class_Ouminus @ SV28 @ ( tc_fun @ SV1060 @ tc_bool ) ) @ ( tc_fun @ SV1060 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV28 @ SV573 @ ( tc_fun @ SV1060 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3434]) ).
thf(3825,plain,
! [SV574: $i,SV29: $i,SV1061: $i] :
( ( ( c_lessequals @ SV1061 @ SV29 @ ( tc_fun @ SV574 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV29 @ ( tc_fun @ SV574 @ tc_bool ) ) @ ( c_HOL_Ouminus__class_Ouminus @ SV1061 @ ( tc_fun @ SV574 @ tc_bool ) ) @ ( tc_fun @ SV574 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3435]) ).
thf(3826,plain,
! [SV43: $i,SV581: $i,SV1062: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV1062 @ ( c_Message_Osynth @ SV581 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV43 @ ( c_Message_Osynth @ ( c_Set_Oinsert @ SV1062 @ SV581 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV43 @ ( c_Message_Osynth @ SV581 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3441]) ).
thf(3827,plain,
! [SV1065: $i,SV584: $i,SV47: $i] :
( ( ( hBOOL @ ( c_in @ SV47 @ ( c_Set_Oinsert @ SV584 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1065 @ tc_bool ) ) @ SV1065 ) @ SV1065 ) )
= $false )
| ( ( SV47 = SV584 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3444]) ).
thf(3828,plain,
! [SV1066: $i,SV585: $i,SV49: $i] :
( ( ( class_Lattices_Olattice @ SV49 )
= $false )
| ( ( ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV585 @ SV1066 @ ( tc_fun @ t_a @ SV49 ) ) @ v_x )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( hAPP @ SV585 @ v_x ) @ ( hAPP @ SV1066 @ v_x ) @ SV49 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3445]) ).
thf(3829,plain,
! [SV592: $i,SV1069: $i,SV57: $i] :
( ( ( hBOOL @ ( c_in @ SV57 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1069 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV57 @ SV592 @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1069 ) ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1069 @ SV592 @ ( 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)],[3449]) ).
thf(3830,plain,
! [SV1404: $i,SV1073: $i,SV596: $i,SV62: $i] :
( ( ( ~ ( class_Lattices_Oupper__semilattice @ SV62 ) )
= $true )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV596 @ SV1073 @ SV62 ) @ SV1404 @ SV62 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV596 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1073 @ SV1404 @ SV62 ) @ SV62 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3452]) ).
thf(3831,plain,
! [SV1405: $i,SV1074: $i,SV597: $i,SV63: $i] :
( ( ( ~ ( class_Lattices_Oupper__semilattice @ SV63 ) )
= $true )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV597 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1074 @ SV1405 @ SV63 ) @ SV63 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV1074 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV597 @ SV1405 @ SV63 ) @ SV63 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3453]) ).
thf(3832,plain,
! [SV1407: $i,SV1076: $i,SV599: $i,SV65: $i] :
( ( ( ~ ( class_Lattices_Olattice @ SV65 ) )
= $true )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV599 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1076 @ SV1407 @ SV65 ) @ SV65 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV1076 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV599 @ SV1407 @ SV65 ) @ SV65 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3455]) ).
thf(3833,plain,
! [SV1408: $i,SV1077: $i,SV600: $i,SV66: $i] :
( ( ( ~ ( class_Lattices_Olattice @ SV66 ) )
= $true )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV600 @ SV1077 @ SV66 ) @ SV1408 @ SV66 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV600 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1077 @ SV1408 @ SV66 ) @ SV66 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3456]) ).
thf(3834,plain,
! [SV1409: $i,SV1078: $i,SV601: $i,SV67: $i] :
( ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV67 @ SV601 @ ( tc_fun @ SV1078 @ tc_bool ) ) @ SV1409 @ ( tc_fun @ SV1078 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV601 @ SV1409 @ ( tc_fun @ SV1078 @ tc_bool ) )
| ~ ( c_lessequals @ SV67 @ SV1409 @ ( tc_fun @ SV1078 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3457]) ).
thf(3835,plain,
! [SV1410: $i,SV1081: $i,SV604: $i,SV70: $i] :
( ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV70 @ SV604 @ ( tc_fun @ SV1081 @ tc_bool ) ) @ SV1410 @ ( tc_fun @ SV1081 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV604 @ SV1410 @ ( tc_fun @ SV1081 @ tc_bool ) )
| ~ ( c_lessequals @ SV70 @ SV1410 @ ( tc_fun @ SV1081 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3458]) ).
thf(3836,plain,
! [SV1411: $i,SV1082: $i,SV605: $i,SV71: $i] :
( ( ( ~ ( class_Lattices_Oupper__semilattice @ SV71 ) )
= $true )
| ( ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV605 @ SV1082 @ SV71 ) @ SV1411 @ SV71 )
| ~ ( c_lessequals @ SV1082 @ SV1411 @ SV71 )
| ~ ( c_lessequals @ SV605 @ SV1411 @ SV71 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3459]) ).
thf(3837,plain,
! [SV1083: $i,SV606: $i,SV72: $i] :
( ( ( class_Lattices_Oupper__semilattice @ SV72 )
= $false )
| ( ( c_lessequals @ SV606 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV606 @ SV1083 @ SV72 ) @ SV72 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3460]) ).
thf(3838,plain,
! [SV1084: $i,SV607: $i,SV73: $i] :
( ( ( class_Lattices_Oupper__semilattice @ SV73 )
= $false )
| ( ( c_lessequals @ SV607 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1084 @ SV607 @ SV73 ) @ SV73 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3461]) ).
thf(3839,plain,
! [SV1412: $i,SV1085: $i,SV608: $i,SV74: $i] :
( ( ( ~ ( class_Lattices_Oupper__semilattice @ SV74 ) )
= $true )
| ( ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV608 @ SV1085 @ SV74 ) @ SV1412 @ SV74 )
| ~ ( c_lessequals @ SV1085 @ SV1412 @ SV74 )
| ~ ( c_lessequals @ SV608 @ SV1412 @ SV74 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3462]) ).
thf(3840,plain,
! [SV1413: $i,SV1086: $i,SV609: $i,SV75: $i] :
( ( ( ~ ( class_Lattices_Oupper__semilattice @ SV75 ) )
= $true )
| ( ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV609 @ SV1086 @ SV75 ) @ SV1413 @ SV75 )
| ~ ( c_lessequals @ SV1086 @ SV1413 @ SV75 )
| ~ ( c_lessequals @ SV609 @ SV1413 @ SV75 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3463]) ).
thf(3841,plain,
! [SV1087: $i,SV610: $i,SV76: $i] :
( ( ( class_Lattices_Olattice @ SV76 )
= $false )
| ( ( c_lessequals @ SV610 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1087 @ SV610 @ SV76 ) @ SV76 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3464]) ).
thf(3842,plain,
! [SV1088: $i,SV611: $i,SV77: $i] :
( ( ( class_Lattices_Olattice @ SV77 )
= $false )
| ( ( c_lessequals @ SV611 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV611 @ SV1088 @ SV77 ) @ SV77 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3465]) ).
thf(3843,plain,
! [SV1414: $i,SV1089: $i,SV612: $i,SV78: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV78 ) )
= $true )
| ( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV612 @ SV1089 @ SV78 ) @ SV78 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1414 @ ( c_List_Olist_OCons @ SV612 @ SV1089 @ SV78 ) @ SV78 ) @ SV78 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3466]) ).
thf(3844,plain,
! [SV1090: $i,SV613: $i,SV79: $i] :
( ( ( class_Orderings_Olinorder @ SV79 )
= $false )
| ( ( ( c_List_Olinorder__class_Osorted @ SV613 @ SV79 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1090 @ SV613 @ SV79 ) @ SV79 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3467]) ).
thf(3845,plain,
! [SV1092: $i,SV615: $i,SV81: $i] :
( ( ( class_Lattices_Oupper__semilattice @ SV81 )
= $false )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV615 @ SV1092 @ SV81 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV1092 @ SV615 @ SV81 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3468]) ).
thf(3846,plain,
! [SV1093: $i,SV616: $i,SV82: $i] :
( ( ( class_Lattices_Olattice @ SV82 )
= $false )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV616 @ SV1093 @ SV82 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV1093 @ SV616 @ SV82 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3469]) ).
thf(3847,plain,
! [SV1096: $i,SV619: $i,SV85: $i] :
( ( ( class_Lattices_Oupper__semilattice @ SV85 )
= $false )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV619 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV619 @ SV1096 @ SV85 ) @ SV85 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV619 @ SV1096 @ SV85 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3470]) ).
thf(3848,plain,
! [SV1097: $i,SV620: $i,SV86: $i] :
( ( ( class_Lattices_Olattice @ SV86 )
= $false )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV620 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV620 @ SV1097 @ SV86 ) @ SV86 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV620 @ SV1097 @ SV86 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3471]) ).
thf(3849,plain,
! [SV91: $i,SV623: $i,SV1099: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV1099 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV623 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV91 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV1099 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV91 @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV623 ) ) @ ( c_Message_Oparts @ SV623 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3473]) ).
thf(3850,plain,
! [SV1415: $i,SV1100: $i,SV624: $i,SV92: $i] :
( ( ( hBOOL @ ( c_in @ SV92 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV624 @ SV1100 @ ( tc_fun @ SV1415 @ tc_bool ) ) @ SV1415 ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV92 @ SV624 @ SV1415 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3474]) ).
thf(3851,plain,
! [SV1416: $i,SV1101: $i,SV625: $i,SV93: $i] :
( ( ( hBOOL @ ( c_in @ SV93 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV625 @ SV1101 @ ( tc_fun @ SV1416 @ tc_bool ) ) @ SV1416 ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV93 @ SV1101 @ SV1416 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3475]) ).
thf(3852,plain,
! [SV95: $i,SV1102: $i,SV627: $i] :
( ( ( hBOOL @ ( c_in @ SV627 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1102 @ tc_bool ) ) @ SV1102 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV95 @ SV627 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3476]) ).
thf(3853,plain,
! [SV1417: $i,SV1103: $i,SV630: $i,SV98: $i] :
( ( ( hBOOL @ ( c_in @ SV98 @ SV630 @ SV1103 ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ SV98 @ SV1417 @ SV1103 ) )
| ~ ( hBOOL @ ( c_in @ SV98 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1417 @ SV630 @ ( tc_fun @ SV1103 @ tc_bool ) ) @ SV1103 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3477]) ).
thf(3854,plain,
! [SV1104: $i,SV631: $i,SV99: $i] :
( ( ( hBOOL @ ( hAPP @ SV99 @ SV631 ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV631 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1104 @ tc_bool ) ) @ SV1104 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3478]) ).
thf(3855,plain,
! [SV102: $i,SV634: $i,SV1105: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV1105 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV634 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV102 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV1105 @ SV634 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV102 @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV634 ) ) @ ( c_Message_Oparts @ SV634 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3481]) ).
thf(3856,plain,
! [SV1418: $i,SV1106: $i,SV638: $i,SV107: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV107 ) ) @ ( c_Message_Oparts @ SV638 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ SV107 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1106 @ SV638 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) ) @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV1418 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV638 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV107 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV1418 @ SV1106 @ tc_Message_Omsg ) ) ) @ tc_nat ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3482]) ).
thf(3857,plain,
! [SV642: $i,SV111: $i,SV1109: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV1109 @ SV111 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV642 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV111 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV642 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3485]) ).
thf(3858,plain,
! [SV643: $i,SV1110: $i,SV112: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV112 @ SV1110 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV643 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV112 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV643 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3486]) ).
thf(3859,plain,
! [SV113: $i,SV1111: $i,SV644: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV644 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1111 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV113 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1111 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV113 @ SV644 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1111 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3487]) ).
thf(3860,plain,
! [SV1114: $i,SV647: $i,SV116: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV116 @ SV647 ) @ SV1114 @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV116 ) @ SV1114 @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV116 @ SV647 ) @ ( c_Message_Osynth @ SV1114 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3490]) ).
thf(3861,plain,
! [SV1115: $i,SV648: $i,SV117: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV117 @ SV648 ) @ ( c_Message_Osynth @ SV1115 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV117 ) @ SV1115 @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV117 @ SV648 ) @ SV1115 @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3491]) ).
thf(3862,plain,
! [SV1116: $i,SV649: $i,SV118: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV118 @ SV649 @ tc_nat ) ) )
= $true )
| ( ( ~ ( c_lessequals @ SV649 @ ( 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 @ SV1116 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV118 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV649 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1116 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3492]) ).
thf(3863,plain,
! [SV650: $i,SV1117: $i,SV119: $i] :
( ( ( hBOOL @ ( c_in @ SV119 @ SV1117 @ tc_nat ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV119 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV1117 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV650 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SV1117 @ ( 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 @ SV650 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV119 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV650 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3493]) ).
thf(3864,plain,
! [SV651: $i,SV1118: $i,SV120: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV120 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1118 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( c_lessequals @ SV651 @ ( 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 @ SV1118 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV120 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV651 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1118 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3494]) ).
thf(3865,plain,
! [SV1420: $i,SV1119: $i,SV659: $i,SV128: $i] :
( ( ( hBOOL @ ( hAPP @ SV128 @ SV659 ) )
= $true )
| ( ( ( hBOOL @ ( hAPP @ SV1119 @ SV659 ) )
| ~ ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1119 @ SV128 @ ( tc_fun @ SV1420 @ tc_bool ) ) @ SV659 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3498]) ).
thf(3866,plain,
! [SV1421: $i,SV1120: $i,SV660: $i,SV129: $i] :
( ( ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV129 @ SV660 @ ( tc_fun @ SV1120 @ tc_bool ) ) @ SV1421 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV660 @ SV1421 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3499]) ).
thf(3867,plain,
! [SV1422: $i,SV1121: $i,SV661: $i,SV130: $i] :
( ( ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV130 @ SV661 @ ( tc_fun @ SV1121 @ tc_bool ) ) @ SV1422 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV130 @ SV1422 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3500]) ).
thf(3868,plain,
! [SV1123: $i,SV669: $i,SV138: $i] :
( ( ( class_Lattices_Oupper__semilattice @ SV138 )
= $false )
| ( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV669 @ SV1123 @ SV138 )
= SV669 )
| ~ ( c_lessequals @ SV1123 @ SV669 @ SV138 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3503]) ).
thf(3869,plain,
! [SV1124: $i,SV670: $i,SV139: $i] :
( ( ( class_Lattices_Oupper__semilattice @ SV139 )
= $false )
| ( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV670 @ SV1124 @ SV139 )
= SV1124 )
| ~ ( c_lessequals @ SV670 @ SV1124 @ SV139 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3504]) ).
thf(3870,plain,
! [SV1125: $i,SV671: $i,SV140: $i] :
( ( ( c_lessequals @ SV140 @ SV671 @ ( tc_fun @ SV1125 @ tc_bool ) )
= $false )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV140 @ SV671 @ ( tc_fun @ SV1125 @ tc_bool ) )
= SV671 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3505]) ).
thf(3871,plain,
! [SV1126: $i,SV141: $i,SV672: $i] :
( ( ( c_lessequals @ SV672 @ SV141 @ ( tc_fun @ SV1126 @ tc_bool ) )
= $false )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV141 @ SV672 @ ( tc_fun @ SV1126 @ tc_bool ) )
= SV141 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3506]) ).
thf(3872,plain,
! [SV1562: $i,SV1423: $i,SV1127: $i,SV674: $i,SV144: $i] :
( ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ SV144 @ SV674 @ SV1127 @ SV1423 ) @ ( c_Set_Oimage @ SV144 @ SV1562 @ SV1127 @ SV1423 ) @ ( tc_fun @ SV1423 @ tc_bool ) )
= ( c_Set_Oimage @ SV144 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV674 @ SV1562 @ ( tc_fun @ SV1127 @ tc_bool ) ) @ SV1127 @ SV1423 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3508]) ).
thf(3873,plain,
! [SV1563: $i,SV1424: $i,SV1128: $i,SV675: $i,SV145: $i] :
( ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV145 @ SV675 @ ( tc_fun @ SV1128 @ tc_bool ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1424 @ SV1563 @ ( tc_fun @ SV1128 @ tc_bool ) ) @ ( tc_fun @ SV1128 @ tc_bool ) )
| ~ ( c_lessequals @ SV675 @ SV1563 @ ( tc_fun @ SV1128 @ tc_bool ) )
| ~ ( c_lessequals @ SV145 @ SV1424 @ ( tc_fun @ SV1128 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3509]) ).
thf(3874,plain,
! [SV1425: $i,SV1129: $i,SV676: $i,SV150: $i] :
( ( ( ~ ( class_Lattices_Oupper__semilattice @ SV150 ) )
= $true )
| ( ( ( c_lessequals @ SV676 @ SV1129 @ SV150 )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1425 @ SV676 @ SV150 ) @ SV1129 @ SV150 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3510]) ).
thf(3875,plain,
! [SV1426: $i,SV1130: $i,SV677: $i,SV151: $i] :
( ( ( ~ ( class_Lattices_Oupper__semilattice @ SV151 ) )
= $true )
| ( ( ( c_lessequals @ SV677 @ SV1130 @ SV151 )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV677 @ SV1426 @ SV151 ) @ SV1130 @ SV151 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3511]) ).
thf(3876,plain,
! [SV1427: $i,SV1131: $i,SV678: $i,SV152: $i] :
( ( ( ~ ( class_Lattices_Oupper__semilattice @ SV152 ) )
= $true )
| ( ( ( c_lessequals @ SV678 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1131 @ SV1427 @ SV152 ) @ SV152 )
| ~ ( c_lessequals @ SV678 @ SV1427 @ SV152 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3512]) ).
thf(3877,plain,
! [SV1428: $i,SV1132: $i,SV679: $i,SV153: $i] :
( ( ( ~ ( class_Lattices_Oupper__semilattice @ SV153 ) )
= $true )
| ( ( ( c_lessequals @ SV679 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1132 @ SV1428 @ SV153 ) @ SV153 )
| ~ ( c_lessequals @ SV679 @ SV1132 @ SV153 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3513]) ).
thf(3878,plain,
! [SV1429: $i,SV1133: $i,SV680: $i,SV154: $i] :
( ( ( ~ ( class_Lattices_Oupper__semilattice @ SV154 ) )
= $true )
| ( ( ( c_lessequals @ SV680 @ SV1133 @ SV154 )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1429 @ SV680 @ SV154 ) @ SV1133 @ SV154 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3514]) ).
thf(3879,plain,
! [SV1430: $i,SV1134: $i,SV681: $i,SV155: $i] :
( ( ( ~ ( class_Lattices_Oupper__semilattice @ SV155 ) )
= $true )
| ( ( ( c_lessequals @ SV681 @ SV1134 @ SV155 )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV681 @ SV1430 @ SV155 ) @ SV1134 @ SV155 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3515]) ).
thf(3880,plain,
! [SV1431: $i,SV1135: $i,SV682: $i,SV156: $i] :
( ( ( c_lessequals @ SV156 @ SV682 @ ( tc_fun @ SV1135 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV156 @ SV1431 @ ( tc_fun @ SV1135 @ tc_bool ) ) @ SV682 @ ( tc_fun @ SV1135 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3516]) ).
thf(3881,plain,
! [SV1432: $i,SV1136: $i,SV683: $i,SV157: $i] :
( ( ( c_lessequals @ SV157 @ SV683 @ ( tc_fun @ SV1136 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1432 @ SV157 @ ( tc_fun @ SV1136 @ tc_bool ) ) @ SV683 @ ( tc_fun @ SV1136 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3517]) ).
thf(3882,plain,
! [SV686: $i,SV1137: $i,SV160: $i] :
( ( ( SV160
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1137 @ tc_bool ) ) )
= $true )
| ( ( ~ ( c_lessequals @ SV160 @ ( c_Set_Oinsert @ SV686 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1137 @ tc_bool ) ) @ SV1137 ) @ ( tc_fun @ SV1137 @ tc_bool ) ) )
= $true )
| ( ( SV160
= ( c_Set_Oinsert @ SV686 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1137 @ tc_bool ) ) @ SV1137 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3518]) ).
thf(3883,plain,
! [SV1564: $i,SV1433: $i,SV1138: $i,SV687: $i,SV162: $i] :
( ( ( c_Set_Oimage @ SV162 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV687 @ SV1138 @ ( tc_fun @ SV1433 @ tc_bool ) ) @ SV1433 @ SV1564 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ SV162 @ SV687 @ SV1433 @ SV1564 ) @ ( c_Set_Oimage @ SV162 @ SV1138 @ SV1433 @ SV1564 ) @ ( tc_fun @ SV1564 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3519]) ).
thf(3884,plain,
! [SV688: $i,SV1139: $i,SV163: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV163 ) @ ( c_Message_Oanalz @ SV1139 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV163 ) @ ( c_Message_Oanalz @ SV1139 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV163 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV688 @ tc_nat @ tc_Message_Omsg ) @ SV1139 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3520]) ).
thf(3885,plain,
! [SV689: $i,SV1140: $i,SV164: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV164 ) @ ( c_Message_Oanalz @ SV1140 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV164 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV689 @ tc_nat @ tc_Message_Omsg ) @ SV1140 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV164 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV689 @ tc_nat @ tc_Message_Omsg ) @ SV1140 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3521]) ).
thf(3886,plain,
! [SV1434: $i,SV1141: $i,SV691: $i,SV166: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV166 ) )
= $true )
| ( ( ( c_lessequals @ SV691 @ SV1141 @ SV166 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV691 @ ( c_List_Olist_OCons @ SV1141 @ SV1434 @ SV166 ) @ SV166 ) @ SV166 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3522]) ).
thf(3887,plain,
! [SV1435: $i,SV1142: $i,SV692: $i,SV167: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV167 ) )
= $true )
| ( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV692 @ ( c_List_Olist_OCons @ SV1142 @ SV1435 @ SV167 ) @ SV167 ) @ SV167 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1142 @ SV1435 @ SV167 ) @ SV167 )
| ~ ( c_lessequals @ SV692 @ SV1142 @ SV167 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3523]) ).
thf(3888,plain,
! [SV693: $i,SV1143: $i,SV168: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV168 @ SV1143 ) @ SV693 @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV168 @ SV1143 ) @ ( c_Message_Osynth @ SV693 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV168 @ ( c_Message_Osynth @ SV693 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3524]) ).
thf(3889,plain,
! [SV694: $i,SV169: $i,SV1144: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV1144 @ SV169 ) @ SV694 @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV1144 @ SV169 ) @ ( c_Message_Osynth @ SV694 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV169 @ ( c_Message_Osynth @ SV694 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3525]) ).
thf(3890,plain,
! [SV170: $i,SV1145: $i,SV695: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV695 @ ( c_Message_Osynth @ SV1145 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV170 @ ( c_Message_Osynth @ SV1145 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV170 @ SV695 ) @ ( c_Message_Osynth @ SV1145 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3526]) ).
thf(3891,plain,
! [SV696: $i,SV1146: $i,SV172: $i] :
( ( ( hBOOL @ ( c_in @ SV172 @ ( c_Message_Oparts @ SV1146 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV172 @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1146 @ SV696 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV172 @ ( c_Message_Oparts @ SV696 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3527]) ).
thf(3892,plain,
! [SV697: $i,SV173: $i,SV1147: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1147 @ SV173 ) @ SV697 @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1147 @ SV173 ) @ ( c_Message_Osynth @ SV697 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV173 @ ( c_Message_Osynth @ SV697 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3528]) ).
thf(3893,plain,
! [SV700: $i,SV1148: $i,SV176: $i] :
( ( ( hBOOL @ ( c_in @ SV176 @ ( c_Message_Oanalz @ SV1148 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV176 @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV700 @ SV1148 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3531]) ).
thf(3894,plain,
! [SV701: $i,SV178: $i,SV1149: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1149 @ SV178 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV701 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV1149 ) ) @ ( c_Message_Oanalz @ SV701 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1149 ) @ ( c_Message_Oanalz @ SV701 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV178 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV701 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3532]) ).
thf(3895,plain,
! [SV179: $i,SV1150: $i,SV702: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV702 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1150 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV179 ) ) @ ( c_Message_Oanalz @ SV1150 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV179 ) @ ( c_Message_Oanalz @ SV1150 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV179 @ SV702 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1150 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3533]) ).
thf(3896,plain,
! [SV705: $i,SV1151: $i,SV183: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV183 ) @ ( c_Message_Oanalz @ SV1151 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV183 @ SV705 @ tc_nat ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV183 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV705 @ tc_nat @ tc_Message_Omsg ) @ SV1151 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3534]) ).
thf(3897,plain,
! [SV1152: $i,SV706: $i,SV184: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV184 @ SV706 @ tc_nat ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV184 ) @ ( c_Message_Oanalz @ SV1152 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV184 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV706 @ tc_nat @ tc_Message_Omsg ) @ SV1152 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3535]) ).
thf(3898,plain,
! [SV1153: $i,SV707: $i,SV185: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV185 @ SV707 @ tc_nat ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV185 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV707 @ tc_nat @ tc_Message_Omsg ) @ SV1153 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV185 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV707 @ tc_nat @ tc_Message_Omsg ) @ SV1153 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3536]) ).
thf(3899,plain,
! [SV1154: $i,SV708: $i,SV186: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV186 @ SV708 @ tc_nat ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV186 @ SV708 @ tc_nat ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV186 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV708 @ tc_nat @ tc_Message_Omsg ) @ SV1154 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3537]) ).
thf(3900,plain,
! [SV191: $i,SV712: $i,SV1155: $i] :
( ( ( ~ ( c_lessequals @ SV1155 @ ( c_Message_Osynth @ SV712 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV191 @ ( c_Message_Osynth @ SV1155 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV191 @ ( c_Message_Osynth @ SV712 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3541]) ).
thf(3901,plain,
! [SV1436: $i,SV1156: $i,SV717: $i,SV196: $i] :
( ( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV196 @ SV717 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1156 @ SV1436 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ ( c_Message_Oanalz @ SV717 ) @ ( c_Message_Oanalz @ SV1436 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( c_lessequals @ ( c_Message_Oanalz @ SV196 ) @ ( c_Message_Oanalz @ SV1156 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3543]) ).
thf(3902,plain,
! [SV719: $i,SV1157: $i,SV202: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV202 @ SV1157 ) @ SV719 @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV202 @ SV1157 ) @ ( c_Message_Osynth @ SV719 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV202 ) @ SV719 @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3544]) ).
thf(3903,plain,
! [SV720: $i,SV1158: $i,SV203: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV203 ) @ SV1158 @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV720 @ ( c_Message_Osynth @ SV1158 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV203 @ SV720 ) @ ( c_Message_Osynth @ SV1158 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3545]) ).
thf(3904,plain,
! [SV1437: $i,SV1159: $i,SV721: $i,SV204: $i] :
( ( ( hBOOL @ ( c_in @ SV204 @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV721 @ SV1159 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1437 @ ( c_Message_Oparts @ SV1159 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV204 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV1437 @ SV721 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3546]) ).
thf(3905,plain,
! [SV732: $i,SV1161: $i,SV216: $i] :
( ( ( hBOOL @ ( c_in @ SV216 @ ( c_Message_Oparts @ ( c_Event_OinitState @ SV1161 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV216 @ ( c_Event_Oused @ SV732 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3552]) ).
thf(3906,plain,
! [SV1438: $i,SV1162: $i,SV734: $i,SV220: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV220 ) @ SV734 ) ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV1162 ) @ SV1438 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3553]) ).
thf(3907,plain,
! [SV1439: $i,SV1163: $i,SV736: $i,SV222: $i] :
( ( ( ~ ( class_Orderings_Olinorder @ SV222 ) )
= $true )
| ( ( ( c_lessequals @ SV736 @ SV1163 @ SV222 )
| ~ ( hBOOL @ ( c_in @ SV1163 @ ( c_List_Oset @ SV1439 @ SV222 ) @ SV222 ) )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV736 @ SV1439 @ SV222 ) @ SV222 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3554]) ).
thf(3908,plain,
! [SV223: $i,SV737: $i,SV1164: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV1164 ) ) @ ( c_Message_Oanalz @ SV737 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1164 @ SV223 ) @ ( c_Message_Oanalz @ SV737 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV223 @ ( c_Message_Oanalz @ SV737 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3555]) ).
thf(3909,plain,
! [SV738: $i,SV1165: $i,SV224: $i] :
( ( ( hBOOL @ ( c_in @ SV224 @ SV1165 @ tc_Message_Omsg ) )
= $false )
| ( ( c_lessequals @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV224 @ SV738 @ tc_Message_Omsg ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Oparts @ SV1165 ) @ ( c_Message_Oparts @ SV738 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3556]) ).
thf(3910,plain,
! [SV739: $i,SV1166: $i,SV225: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV225 @ SV1166 ) @ SV739 @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ SV225 ) @ ( c_Message_OkeysFor @ SV739 ) @ tc_nat ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3557]) ).
thf(3911,plain,
! [SV1168: $i,SV227: $i,SV741: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SV741 @ SV227 ) @ ( c_List_Oset @ SV1168 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OGets @ SV741 @ SV227 ) @ ( c_List_Oset @ SV1168 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV741 @ ( c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1 @ SV741 @ SV227 @ SV1168 ) @ SV227 ) @ ( c_List_Oset @ SV1168 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV741 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( c_in @ SV227 @ ( c_Event_Oknows @ SV741 @ SV1168 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV227 @ ( c_Event_OinitState @ SV741 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3558]) ).
thf(3912,plain,
! [SV743: $i,SV1170: $i,SV229: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV229 ) ) @ ( c_Message_Oanalz @ SV1170 ) @ tc_Message_Omsg ) )
= $false )
| ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV229 @ SV743 ) @ SV1170 @ tc_Message_Omsg ) )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV229 @ SV743 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV743 @ SV1170 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3560]) ).
thf(3913,plain,
! [SV1440: $i,SV1172: $i,SV745: $i,SV231: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV231 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV745 @ SV1172 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV231 ) @ ( c_Message_Oanalz @ SV1172 ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SV1440 @ SV1172 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV745 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1440 ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3562]) ).
thf(3914,plain,
! [SV1441: $i,SV1173: $i,SV746: $i,SV232: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV232 ) @ ( c_Message_Oanalz @ SV746 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV232 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV1173 @ SV746 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ~ ( c_lessequals @ SV1441 @ SV746 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV1173 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1441 ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3563]) ).
thf(3915,plain,
! [SV748: $i,SV1174: $i,SV234: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV234 ) ) @ ( c_Message_Oanalz @ SV1174 ) @ tc_Message_Omsg ) )
= $false )
| ( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV234 @ SV748 ) @ SV1174 @ tc_Message_Omsg ) ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV234 @ SV748 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV748 @ SV1174 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3565]) ).
thf(3916,plain,
! [SV749: $i,SV1175: $i,SV235: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV235 ) ) @ ( c_Message_Oanalz @ SV1175 ) @ tc_Message_Omsg ) )
= $false )
| ( ( c_lessequals @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV235 @ SV749 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV749 @ SV1175 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV235 @ SV749 ) @ SV1175 @ tc_Message_Omsg ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3566]) ).
thf(3917,plain,
! [SV1176: $i,SV236: $i,SV750: $i] :
( ( ( hBOOL @ ( c_in @ SV750 @ c_Event_Obad @ tc_Message_Oagent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV236 ) @ SV750 ) ) ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1176 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3567]) ).
thf(3918,plain,
! [SV237: $i,SV1177: $i,SV751: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV751 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1177 ) ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1177 ) ) )
= $true )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ SV237 @ SV751 ) @ SV1177 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3568]) ).
thf(3919,plain,
! [SV238: $i,SV1178: $i,SV752: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV752 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1178 ) ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1178 @ 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 @ SV238 @ SV752 ) @ SV1178 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3569]) ).
thf(3920,plain,
! [SV1179: $i,SV753: $i,SV239: $i] :
( ( ( hBOOL @ ( c_in @ SV239 @ c_Event_Obad @ tc_Message_Oagent ) )
= $false )
| ( ( ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV239 @ SV753 ) @ SV1179 @ tc_Event_Oevent ) )
= ( c_Set_Oinsert @ SV753 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1179 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3570]) ).
thf(3921,plain,
! [SV246: $i,SV760: $i,SV1185: $i] :
( ( ( ~ ( c_lessequals @ SV1185 @ SV760 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV246 @ ( c_Message_Oanalz @ SV1185 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV246 @ SV760 @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ SV760 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3574]) ).
thf(3922,plain,
! [SV266: $i,SV780: $i,SV1195: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV1195 @ ( c_Message_Oanalz @ SV780 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV266 @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV1195 @ SV780 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV266 @ ( c_Message_Oanalz @ SV780 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3579]) ).
thf(3923,plain,
! [SV782: $i,SV1196: $i,SV268: $i] :
( ( ( hBOOL @ ( c_in @ SV268 @ ( c_Message_Oanalz @ SV1196 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV268 @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV782 @ SV1196 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3581]) ).
thf(3924,plain,
! [SV1565: $i,SV1448: $i,SV1197: $i,SV783: $i,SV269: $i] :
( ( ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV269 @ SV783 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV1197 @ SV1448 ) @ SV1565 @ tc_Message_Omsg ) @ tc_Message_Omsg )
= ( c_Set_Oinsert @ ( c_Message_Omsg_OMPair @ SV1197 @ SV1448 ) @ ( c_Set_Oinsert @ ( c_Message_Omsg_OCrypt @ SV269 @ SV783 ) @ SV1565 @ tc_Message_Omsg ) @ tc_Message_Omsg ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3582]) ).
thf(3925,plain,
! [SV785: $i,SV1199: $i,SV271: $i] :
( ( ( hBOOL @ ( c_in @ SV271 @ ( c_Message_Oparts @ SV1199 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV271 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV785 @ SV1199 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3583]) ).
thf(3926,plain,
! [SV1566: $i,SV1449: $i,SV1201: $i,SV788: $i,SV274: $i] :
( ( ( ( c_Set_Oinsert @ ( hAPP @ SV274 @ SV788 ) @ ( c_Set_Oimage @ SV274 @ SV1201 @ SV1449 @ SV1566 ) @ SV1566 )
= ( c_Set_Oimage @ SV274 @ SV1201 @ SV1449 @ SV1566 ) )
| ~ ( hBOOL @ ( c_in @ SV788 @ SV1201 @ SV1449 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3585]) ).
thf(3927,plain,
! [SV1450: $i,SV1202: $i,SV789: $i,SV275: $i] :
( ( ( c_lessequals @ ( c_Set_Oinsert @ SV275 @ SV789 @ SV1202 ) @ SV1450 @ ( tc_fun @ SV1202 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV789 @ SV1450 @ ( tc_fun @ SV1202 @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV275 @ SV1450 @ SV1202 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3586]) ).
thf(3928,plain,
! [SV1451: $i,SV1203: $i,SV790: $i,SV276: $i] :
( ( ( hBOOL @ ( c_in @ SV276 @ SV790 @ SV1203 ) )
= $true )
| ( ( ~ ( c_lessequals @ ( c_Set_Oinsert @ SV276 @ SV1451 @ SV1203 ) @ SV790 @ ( tc_fun @ SV1203 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3587]) ).
thf(3929,plain,
! [SV1452: $i,SV1204: $i,SV791: $i,SV277: $i] :
( ( ( c_lessequals @ SV277 @ ( c_Set_Oinsert @ SV791 @ SV1204 @ SV1452 ) @ ( tc_fun @ SV1452 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV277 @ SV1204 @ ( tc_fun @ SV1452 @ tc_bool ) )
| ( hBOOL @ ( c_in @ SV791 @ SV277 @ SV1452 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3588]) ).
thf(3930,plain,
! [SV1453: $i,SV1205: $i,SV792: $i,SV278: $i] :
( ( ( c_lessequals @ SV278 @ SV792 @ ( tc_fun @ SV1205 @ tc_bool ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ SV1453 @ SV278 @ SV1205 ) )
| ~ ( c_lessequals @ SV278 @ ( c_Set_Oinsert @ SV1453 @ SV792 @ SV1205 ) @ ( tc_fun @ SV1205 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3589]) ).
thf(3931,plain,
! [SV1454: $i,SV1206: $i,SV793: $i,SV279: $i] :
( ( ( c_lessequals @ SV279 @ ( c_Set_Oinsert @ SV793 @ SV1206 @ SV1454 ) @ ( tc_fun @ SV1454 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV279 @ SV1206 @ ( tc_fun @ SV1454 @ tc_bool ) )
| ( hBOOL @ ( c_in @ SV793 @ SV279 @ SV1454 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3590]) ).
thf(3932,plain,
! [SV1455: $i,SV1207: $i,SV794: $i,SV280: $i] :
( ( ( c_lessequals @ SV280 @ SV794 @ ( tc_fun @ SV1207 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV280 @ ( c_Set_Oinsert @ SV1455 @ SV794 @ SV1207 ) @ ( tc_fun @ SV1207 @ tc_bool ) )
| ( hBOOL @ ( c_in @ SV1455 @ SV280 @ SV1207 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3591]) ).
thf(3933,plain,
! [SV1456: $i,SV1208: $i,SV795: $i,SV281: $i] :
( ( ( c_lessequals @ ( c_Set_Oinsert @ SV281 @ SV795 @ SV1208 ) @ ( c_Set_Oinsert @ SV281 @ SV1456 @ SV1208 ) @ ( tc_fun @ SV1208 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV795 @ SV1456 @ ( tc_fun @ SV1208 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3592]) ).
thf(3934,plain,
! [SV1567: $i,SV1457: $i,SV1210: $i,SV797: $i,SV283: $i] :
( ( ( c_Set_Oimage @ SV283 @ ( c_Set_Oinsert @ SV797 @ SV1210 @ SV1457 ) @ SV1457 @ SV1567 )
= ( c_Set_Oinsert @ ( hAPP @ SV283 @ SV797 ) @ ( c_Set_Oimage @ SV283 @ SV1210 @ SV1457 @ SV1567 ) @ SV1567 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3593]) ).
thf(3935,plain,
! [SV1458: $i,SV1212: $i,SV799: $i,SV285: $i] :
( ( ( hBOOL @ ( hAPP @ SV285 @ SV799 ) )
= $true )
| ( ( ( SV1212 = SV799 )
| ~ ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV1212 @ SV285 @ SV1458 ) @ SV799 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3594]) ).
thf(3936,plain,
! [SV1459: $i,SV1214: $i,SV801: $i,SV287: $i] :
( ( ( c_lessequals @ SV287 @ ( c_Set_Oinsert @ SV801 @ SV1214 @ SV1459 ) @ ( tc_fun @ SV1459 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV287 @ SV1214 @ ( tc_fun @ SV1459 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3595]) ).
thf(3937,plain,
! [SV1460: $i,SV1215: $i,SV802: $i,SV288: $i] :
( ( ( c_lessequals @ SV288 @ SV802 @ ( tc_fun @ SV1215 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ ( c_Set_Oinsert @ SV1460 @ SV288 @ SV1215 ) @ SV802 @ ( tc_fun @ SV1215 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3596]) ).
thf(3938,plain,
! [SV1462: $i,SV1217: $i,SV804: $i,SV290: $i] :
( ( ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV290 @ SV804 @ SV1217 ) @ SV1462 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV804 @ SV1462 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3598]) ).
thf(3939,plain,
! [SV1568: $i,SV1463: $i,SV1218: $i,SV805: $i,SV291: $i] :
( ( ( c_Set_Oinsert @ ( hAPP @ SV291 @ SV805 ) @ ( c_Set_Oimage @ SV291 @ SV1218 @ SV1463 @ SV1568 ) @ SV1568 )
= ( c_Set_Oimage @ SV291 @ ( c_Set_Oinsert @ SV805 @ SV1218 @ SV1463 ) @ SV1463 @ SV1568 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3599]) ).
thf(3940,plain,
! [SV1464: $i,SV1219: $i,SV806: $i,SV292: $i] :
( ( ( hBOOL @ ( c_in @ SV292 @ ( c_Set_Oinsert @ SV806 @ SV1219 @ SV1464 ) @ SV1464 ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV292 @ SV1219 @ SV1464 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3600]) ).
thf(3941,plain,
! [SV1465: $i,SV1220: $i,SV807: $i,SV293: $i] :
( ( ( hBOOL @ ( c_in @ SV293 @ ( c_Set_Oinsert @ SV807 @ SV1220 @ SV1465 ) @ SV1465 ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV293 @ SV1220 @ SV1465 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3601]) ).
thf(3942,plain,
! [SV1466: $i,SV1221: $i,SV808: $i,SV294: $i] :
( ( ( hBOOL @ ( c_in @ SV294 @ SV808 @ SV1221 ) )
= $true )
| ( ( ( SV294 = SV1466 )
| ~ ( hBOOL @ ( c_in @ SV294 @ ( c_Set_Oinsert @ SV1466 @ SV808 @ SV1221 ) @ SV1221 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3602]) ).
thf(3943,plain,
! [SV1225: $i,SV812: $i,SV298: $i] :
( ( ( hBOOL @ ( c_in @ SV298 @ SV812 @ SV1225 ) )
= $false )
| ( ( ( c_Set_Oinsert @ SV298 @ SV812 @ SV1225 )
= SV812 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3603]) ).
thf(3944,plain,
! [SV299: $i,SV813: $i] :
( ( ( hBOOL @ ( c_in @ SV813 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV299 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV299 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV813 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV299 @ ( 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)],[3604]) ).
thf(3945,plain,
! [SV814: $i,SV1226: $i,SV300: $i] :
( ( ( SV300 = SV1226 )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV300 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV1226 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV814 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV1226 @ ( 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 @ SV814 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV300 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV814 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3605]) ).
thf(3946,plain,
! [SV815: $i,SV1227: $i,SV301: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV301 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1227 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ SV815 @ ( 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 @ SV1227 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV301 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV815 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1227 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3606]) ).
thf(3947,plain,
! [SV1569: $i,SV1467: $i,SV1228: $i,SV816: $i,SV302: $i] :
( ( ! [SY3853: $i,SY3854: $i] :
( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV302 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV816 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV816 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SV1228 @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ SV1467 @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SV1569 @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1 @ SV302 @ SV1569 @ SV816 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV302 ) ) ) ) @ ( c_List_Oset @ SV816 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1467 @ ( c_Message_Omsg_OCrypt @ SY3853 @ ( c_Message_Omsg_OMPair @ SV1569 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1228 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV302 ) @ SY3854 ) ) ) ) ) @ ( c_List_Oset @ SV816 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3607]) ).
thf(3948,plain,
! [SV1570: $i,SV1468: $i,SV1229: $i,SV817: $i,SV303: $i] :
( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV817 ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SV1229 @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1 @ SV303 @ SV1229 @ SV817 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) ) ) ) @ ( c_List_Oset @ SV817 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV817 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SV1468 @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ SV1570 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1570 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1570 ) @ ( c_Message_Omsg_OMPair @ SV1229 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1468 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1468 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) @ ( c_Message_Omsg_OAgent @ SV1570 ) ) ) ) ) ) ) ) @ ( c_List_Oset @ SV817 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3608]) ).
thf(3949,plain,
! [SV818: $i,SV304: $i] :
( ( ( hBOOL @ ( c_in @ SV304 @ c_Event_Obad @ tc_Message_Oagent ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV818 @ 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 @ SV304 ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV818 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3609]) ).
thf(3950,plain,
! [SV1571: $i,SV1469: $i,SV1231: $i,SV820: $i,SV306: $i] :
( ( ! [SY3855: $i,SY3856: $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 @ SV306 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV820 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV1231 ) ) ) ) @ SV1469 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1571 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1571 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV306 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3855 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1231 ) @ SY3856 ) ) ) ) ) @ ( c_List_Oset @ SV1469 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3855 @ SV1571 @ ( c_Message_Omsg_OCrypt @ SV1231 @ ( c_Message_Omsg_ONonce @ SV820 ) ) ) @ ( c_List_Oset @ SV1469 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1469 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3610]) ).
thf(3951,plain,
! [SV1470: $i,SV1232: $i,SV821: $i,SV307: $i] :
( ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV307 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV307 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV821 ) @ ( c_Message_Omsg_ONonce @ SV1232 ) ) ) ) @ SV1470 @ tc_Event_Oevent ) ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1232 ) @ ( c_Event_Oused @ SV1470 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1470 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3611]) ).
thf(3952,plain,
! [SV1572: $i,SV1471: $i,SV1233: $i,SV822: $i,SV308: $i] :
( ( ! [SY3857: $i] :
( ~ ( hBOOL @ ( c_in @ SV308 @ ( 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 @ SV822 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SV1233 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1233 ) @ ( c_Message_Omsg_OMPair @ SV1471 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1572 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV308 ) @ SY3857 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV822 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3612]) ).
thf(3953,plain,
! [SV824: $i,SV310: $i,SV1235: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV1235 @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1235 ) @ SV310 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV824 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV310 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV824 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3613]) ).
thf(3954,plain,
! [SV1472: $i,SV1236: $i,SV828: $i,SV314: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV314 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV828 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV314 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV1236 @ SV1472 ) @ SV828 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3616]) ).
thf(3955,plain,
! [SV1473: $i,SV1237: $i,SV829: $i,SV315: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV315 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV829 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV315 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV1237 @ SV1473 ) @ SV829 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3617]) ).
thf(3956,plain,
! [SV317: $i,SV830: $i,SV1238: $i] :
( ( ( ~ ( c_lessequals @ SV1238 @ ( c_Message_Oanalz @ SV830 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV317 @ ( c_Message_Oanalz @ SV1238 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV317 @ ( c_Message_Oanalz @ SV830 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3618]) ).
thf(3957,plain,
! [SV318: $i,SV831: $i,SV1239: $i] :
( ( ( ~ ( c_lessequals @ SV1239 @ ( c_Message_Oparts @ SV831 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV318 @ ( c_Message_Oparts @ SV1239 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV318 @ ( c_Message_Oparts @ SV831 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3619]) ).
thf(3958,plain,
! [SV1474: $i,SV1240: $i,SV832: $i,SV319: $i] :
( ( ( hBOOL @ ( c_in @ SV319 @ ( c_List_Oset @ SV832 @ SV1240 ) @ SV1240 ) )
= $true )
| ( ( ( SV319 = SV1474 )
| ~ ( hBOOL @ ( c_in @ SV319 @ ( c_List_Oset @ ( c_List_Olist_OCons @ SV1474 @ SV832 @ SV1240 ) @ SV1240 ) @ SV1240 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3620]) ).
thf(3959,plain,
! [SV833: $i,SV320: $i,SV1241: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV1241 @ c_Event_Obad @ tc_Message_Oagent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SV1241 @ SV320 ) @ ( c_List_Oset @ SV833 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV320 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV833 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3621]) ).
thf(3960,plain,
! [SV1573: $i,SV1476: $i,SV1243: $i,SV835: $i,SV322: $i] :
( ( c_lessequals @ ( c_Event_Oknows @ SV322 @ SV835 ) @ ( c_Event_Oknows @ SV322 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV1243 @ SV1476 @ SV1573 ) @ SV835 @ tc_Event_Oevent ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3623]) ).
thf(3961,plain,
! [SV1574: $i,SV1477: $i,SV1247: $i,SV847: $i,SV336: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ SV336 @ SV847 ) @ ( c_Set_Oimage @ SV336 @ SV1247 @ SV1477 @ SV1574 ) @ SV1574 ) )
| ~ ( hBOOL @ ( c_in @ SV847 @ SV1247 @ SV1477 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3634]) ).
thf(3962,plain,
! [SV1575: $i,SV1478: $i,SV1248: $i,SV848: $i,SV337: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ SV337 @ SV848 ) @ ( c_Set_Oimage @ SV337 @ SV1248 @ SV1478 @ SV1575 ) @ SV1575 ) )
| ~ ( hBOOL @ ( c_in @ SV848 @ SV1248 @ SV1478 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3635]) ).
thf(3963,plain,
! [SV1576: $i,SV1479: $i,SV1249: $i,SV849: $i,SV338: $i] :
( ( ~ ( hBOOL @ ( c_in @ SV338 @ SV849 @ SV1249 ) )
| ( hBOOL @ ( c_in @ ( hAPP @ SV1479 @ SV338 ) @ ( c_Set_Oimage @ SV1479 @ SV849 @ SV1249 @ SV1576 ) @ SV1576 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3636]) ).
thf(3964,plain,
! [SV1577: $i,SV1480: $i,SV1250: $i,SV850: $i,SV339: $i] :
( ( ~ ( hBOOL @ ( c_in @ SV339 @ SV850 @ SV1250 ) )
| ( hBOOL @ ( c_in @ ( hAPP @ SV1480 @ SV339 ) @ ( c_Set_Oimage @ SV1480 @ SV850 @ SV1250 @ SV1577 ) @ SV1577 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3637]) ).
thf(3965,plain,
! [SV1481: $i,SV1251: $i,SV852: $i,SV341: $i] :
( ( ( hBOOL @ ( c_in @ SV341 @ SV852 @ SV1251 ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV341 @ SV1481 @ SV1251 ) )
| ~ ( c_lessequals @ SV1481 @ SV852 @ ( tc_fun @ SV1251 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3638]) ).
thf(3966,plain,
! [SV1482: $i,SV1252: $i,SV853: $i,SV342: $i] :
( ( ( hBOOL @ ( c_in @ SV342 @ SV853 @ SV1252 ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV342 @ SV1482 @ SV1252 ) )
| ~ ( c_lessequals @ SV1482 @ SV853 @ ( tc_fun @ SV1252 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3639]) ).
thf(3967,plain,
! [SV1483: $i,SV1253: $i,SV854: $i,SV343: $i] :
( ( ( hBOOL @ ( c_in @ SV343 @ SV854 @ SV1253 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1483 @ SV854 @ ( tc_fun @ SV1253 @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV343 @ SV1483 @ SV1253 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3640]) ).
thf(3968,plain,
! [SV1484: $i,SV1254: $i,SV855: $i,SV344: $i] :
( ( ( hBOOL @ ( c_in @ SV344 @ SV855 @ SV1254 ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV344 @ SV1484 @ SV1254 ) )
| ~ ( c_lessequals @ SV1484 @ SV855 @ ( tc_fun @ SV1254 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3641]) ).
thf(3969,plain,
! [SV1578: $i,SV1485: $i,SV1255: $i,SV856: $i,SV345: $i] :
( ( ~ ( class_HOL_Oord @ SV345 )
| ( c_lessequals @ ( hAPP @ SV856 @ SV1255 ) @ ( hAPP @ SV1485 @ SV1255 ) @ SV345 )
| ~ ( c_lessequals @ SV856 @ SV1485 @ ( tc_fun @ SV1578 @ SV345 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3642]) ).
thf(3970,plain,
! [SV1579: $i,SV1488: $i,SV1260: $i,SV861: $i,SV350: $i] :
( ( ! [SY3858: $i] :
( ( hBOOL @ ( c_in @ ( hAPP @ SV350 @ SV861 ) @ SV1260 @ SV1488 ) )
| ~ ( hBOOL @ ( c_in @ SV861 @ SV1579 @ SY3858 ) )
| ~ ( c_lessequals @ ( c_Set_Oimage @ SV350 @ SV1579 @ SY3858 @ SV1488 ) @ SV1260 @ ( tc_fun @ SV1488 @ tc_bool ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3646]) ).
thf(3971,plain,
! [SV1489: $i,SV1261: $i,SV862: $i,SV351: $i] :
( ( ( SV351 = SV862 )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV351 ) @ SV1261 ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV862 ) @ SV1489 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3647]) ).
thf(3972,plain,
! [SV1490: $i,SV1262: $i,SV863: $i,SV352: $i] :
( ( ( hBOOL @ ( c_in @ SV352 @ SV863 @ tc_Message_Oagent ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV1262 ) @ SV352 ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV1490 ) @ SV863 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3648]) ).
thf(3973,plain,
! [SV353: $i,SV1263: $i,SV864: $i] :
( ( ( hBOOL @ ( c_in @ SV864 @ SV1263 @ tc_Message_Oagent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV353 ) @ SV864 ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV353 ) @ SV1263 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3649]) ).
thf(3974,plain,
! [SV1264: $i,SV355: $i,SV866: $i] :
( ( ( ~ ( c_lessequals @ SV866 @ SV355 @ ( tc_fun @ SV1264 @ tc_bool ) ) )
= $true )
| ( ( ~ ( c_lessequals @ SV355 @ SV866 @ ( tc_fun @ SV1264 @ tc_bool ) ) )
= $true )
| ( ( SV355 = SV866 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3650]) ).
thf(3975,plain,
! [SV1265: $i,SV356: $i,SV867: $i] :
( ( ( ~ ( c_lessequals @ SV867 @ SV356 @ ( tc_fun @ SV1265 @ tc_bool ) ) )
= $true )
| ( ( ~ ( c_lessequals @ SV356 @ SV867 @ ( tc_fun @ SV1265 @ tc_bool ) ) )
= $true )
| ( ( SV356 = SV867 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3651]) ).
thf(3976,plain,
! [SV1266: $i,SV868: $i,SV357: $i] :
( ( ( class_Orderings_Oorder @ SV357 )
= $false )
| ( ( ( SV868 = SV1266 )
| ~ ( c_lessequals @ SV1266 @ SV868 @ SV357 )
| ~ ( c_lessequals @ SV868 @ SV1266 @ SV357 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3652]) ).
thf(3977,plain,
! [SV1267: $i,SV869: $i,SV358: $i] :
( ( ( class_Orderings_Oorder @ SV358 )
= $false )
| ( ( ( SV869 = SV1267 )
| ~ ( c_lessequals @ SV1267 @ SV869 @ SV358 )
| ~ ( c_lessequals @ SV869 @ SV1267 @ SV358 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3653]) ).
thf(3978,plain,
! [SV1268: $i,SV870: $i,SV359: $i] :
( ( ( class_Orderings_Oorder @ SV359 )
= $false )
| ( ( ( SV870 = SV1268 )
| ~ ( c_lessequals @ SV870 @ SV1268 @ SV359 )
| ~ ( c_lessequals @ SV1268 @ SV870 @ SV359 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3654]) ).
thf(3979,plain,
! [SV1491: $i,SV1271: $i,SV875: $i,SV364: $i] :
( ( ( ~ ( class_Orderings_Oorder @ SV364 ) )
= $true )
| ( ( ( c_lessequals @ SV875 @ SV1271 @ SV364 )
| ~ ( c_lessequals @ SV875 @ SV1491 @ SV364 )
| ~ ( c_lessequals @ SV1491 @ SV1271 @ SV364 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3656]) ).
thf(3980,plain,
! [SV1492: $i,SV1272: $i,SV876: $i,SV365: $i] :
( ( ( ~ ( class_Orderings_Opreorder @ SV365 ) )
= $true )
| ( ( ( c_lessequals @ SV876 @ SV1272 @ SV365 )
| ~ ( c_lessequals @ SV1492 @ SV1272 @ SV365 )
| ~ ( c_lessequals @ SV876 @ SV1492 @ SV365 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3657]) ).
thf(3981,plain,
! [SV1493: $i,SV1273: $i,SV879: $i,SV368: $i] :
( ( ( c_lessequals @ SV368 @ SV879 @ ( tc_fun @ SV1273 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1493 @ SV879 @ ( tc_fun @ SV1273 @ tc_bool ) )
| ~ ( c_lessequals @ SV368 @ SV1493 @ ( tc_fun @ SV1273 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3658]) ).
thf(3982,plain,
! [SV1494: $i,SV1274: $i,SV880: $i,SV369: $i] :
( ( ( hBOOL @ ( hAPP @ SV369 @ SV880 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV1274 @ SV880 ) )
| ~ ( c_lessequals @ SV1274 @ SV369 @ ( tc_fun @ SV1494 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3659]) ).
thf(3983,plain,
! [SV1495: $i,SV1275: $i,SV883: $i,SV372: $i] :
( ( ( hBOOL @ ( hAPP @ SV372 @ SV883 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1275 @ SV372 @ ( tc_fun @ SV1495 @ tc_bool ) )
| ~ ( hBOOL @ ( hAPP @ SV1275 @ SV883 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3662]) ).
thf(3984,plain,
! [SV1580: $i,SV1497: $i,SV1278: $i,SV886: $i,SV375: $i] :
( ( ( c_lessequals @ ( c_Set_Oimage @ SV375 @ SV886 @ SV1278 @ SV1497 ) @ ( c_Set_Oimage @ SV375 @ SV1580 @ SV1278 @ SV1497 ) @ ( tc_fun @ SV1497 @ tc_bool ) )
| ~ ( c_lessequals @ SV886 @ SV1580 @ ( tc_fun @ SV1278 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3664]) ).
thf(3985,plain,
! [SV1581: $i,SV1498: $i,SV1279: $i,SV887: $i,SV376: $i] :
( ( ~ ( c_lessequals @ SV376 @ SV887 @ ( tc_fun @ SV1279 @ tc_bool ) )
| ( c_lessequals @ ( c_Set_Oimage @ SV1498 @ SV376 @ SV1279 @ SV1581 ) @ ( c_Set_Oimage @ SV1498 @ SV887 @ SV1279 @ SV1581 ) @ ( tc_fun @ SV1581 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3665]) ).
thf(3986,plain,
! [SV1281: $i,SV889: $i,SV378: $i] :
( ( ( class_Orderings_Olinorder @ SV378 )
= $false )
| ( ( ( c_lessequals @ SV889 @ SV1281 @ SV378 )
| ( c_lessequals @ SV1281 @ SV889 @ SV378 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3666]) ).
thf(3987,plain,
! [SV890: $i,SV379: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV379 ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV890 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV890 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV379 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3667]) ).
thf(3988,plain,
! [SV891: $i,SV380: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV380 ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV891 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV891 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV380 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3668]) ).
thf(3989,plain,
! [SV892: $i,SV381: $i] :
( ( ( hBOOL @ ( c_in @ SV381 @ c_Event_Obad @ tc_Message_Oagent ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV892 @ 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 @ SV381 ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV892 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3669]) ).
thf(3990,plain,
! [SV893: $i,SV1282: $i,SV383: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV383 @ c_Message_OsymKeys @ tc_nat ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV383 @ SV1282 ) @ SV893 @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV383 @ ( c_Message_OkeysFor @ SV893 ) @ tc_nat ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3670]) ).
thf(3991,plain,
! [SV1283: $i,SV384: $i,SV894: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SV894 @ SV384 ) @ ( c_List_Oset @ SV1283 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV384 @ ( c_Event_Oknows @ SV894 @ SV1283 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3671]) ).
thf(3992,plain,
! [SV895: $i,SV385: $i,SV1284: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SV1284 @ SV385 ) @ ( c_List_Oset @ SV895 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV385 @ ( c_Event_Oused @ SV895 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3672]) ).
thf(3993,plain,
! [SV1582: $i,SV1499: $i,SV1286: $i,SV897: $i,SV387: $i] :
( ( ~ ( hBOOL @ ( c_in @ SV387 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV897 ) ) @ tc_Message_Omsg ) )
| ( hBOOL @ ( c_in @ SV387 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV1286 @ SV1499 @ SV1582 ) @ SV897 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3673]) ).
thf(3994,plain,
! [SV1583: $i,SV1500: $i,SV1287: $i,SV898: $i,SV388: $i] :
( ( ! [SY3859: $i,SY3860: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV388 @ SV898 @ SV1287 ) @ SV1500 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV388 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV388 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV898 ) @ ( c_Message_Omsg_ONonce @ SV1583 ) ) ) ) @ ( c_List_Oset @ SV1500 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3859 @ SV388 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV388 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1583 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV898 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3860 ) @ SV1287 ) ) ) ) ) @ ( c_List_Oset @ SV1500 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV388 = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1500 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3674]) ).
thf(3995,plain,
! [SV1501: $i,SV1288: $i,SV899: $i,SV389: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV389 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV389 ) @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1 @ SV389 @ SV899 @ SV1288 @ SV1501 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV899 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1288 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV899 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1288 ) @ ( c_Message_Omsg_OAgent @ SV389 ) ) ) ) ) ) ) ) @ ( c_List_Oset @ SV1501 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1501 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SV899 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV899 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1288 ) @ ( c_Message_Omsg_OAgent @ SV389 ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1501 ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3675]) ).
thf(3996,plain,
! [SV1289: $i,SV390: $i,SV900: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OGets @ SV900 @ SV390 ) @ ( c_List_Oset @ SV1289 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( SV900 = c_Message_Oagent_OSpy )
= $true )
| ( ( hBOOL @ ( c_in @ SV390 @ ( c_Event_Oknows @ SV900 @ SV1289 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3676]) ).
thf(3997,plain,
! [SV1584: $i,SV1502: $i,SV1290: $i,SV901: $i,SV391: $i] :
( ( ! [SY3861: $i] :
( ( SV391
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV901 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1290 ) @ ( c_Message_Omsg_OAgent @ SV1502 ) ) ) )
| ~ ( hBOOL @ ( c_in @ SV1584 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SV1502 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1502 ) @ ( c_Message_Omsg_OMPair @ SY3861 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV901 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1290 ) @ SV391 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1584 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3677]) ).
thf(3998,plain,
! [SV1585: $i,SV1503: $i,SV1291: $i,SV902: $i,SV392: $i] :
( ( ! [SY3862: $i,SY3863: $i,SY3864: $i,SY3865: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV392 @ SV902 @ ( c_Message_Omsg_OCrypt @ SV1291 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1503 ) @ ( c_Message_Omsg_ONonce @ SV1503 ) ) ) ) @ SV1585 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3862 @ SV392 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV392 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3863 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV902 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1291 ) @ SY3864 ) ) ) ) ) @ ( c_List_Oset @ SV1585 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3865 @ SV392 @ ( c_Message_Omsg_OCrypt @ SV1291 @ ( c_Message_Omsg_ONonce @ SV1503 ) ) ) @ ( c_List_Oset @ SV1585 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1291 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1585 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3678]) ).
thf(3999,plain,
! [SV1586: $i,SV1504: $i,SV1292: $i,SV903: $i,SV393: $i] :
( ( ! [SY3866: $i,SY3867: $i] :
( ~ ( hBOOL @ ( c_in @ SV393 @ ( 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 @ SV903 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1292 @ ( c_Message_Omsg_OCrypt @ SV1504 @ ( c_Message_Omsg_OMPair @ SV1586 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3866 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV393 ) @ SY3867 ) ) ) ) ) @ ( c_List_Oset @ SV903 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3679]) ).
thf(4000,plain,
! [SV1587: $i,SV1505: $i,SV1293: $i,SV904: $i,SV394: $i] :
( ( ! [SY3868: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV394 @ SV904 @ ( c_Message_Omsg_OCrypt @ SV1293 @ ( c_Message_Omsg_ONonce @ SV1505 ) ) ) @ SV1587 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3868 @ SV394 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV394 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1293 ) @ ( c_Message_Omsg_OAgent @ SV904 ) ) ) ) @ ( c_List_Oset @ SV1587 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1293 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1505 ) @ ( c_Event_Oused @ SV1587 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1587 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3680]) ).
thf(4001,plain,
! [SV1588: $i,SV1506: $i,SV1294: $i,SV905: $i,SV395: $i] :
( ( ! [SY3869: $i,SY3870: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV395 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV905 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV1294 ) ) ) ) @ SV1506 @ 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 @ SV1588 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1588 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV395 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3869 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1294 ) @ SY3870 ) ) ) ) ) @ ( c_List_Oset @ SV1506 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3869 @ SV1588 @ ( c_Message_Omsg_OCrypt @ SV1294 @ ( c_Message_Omsg_ONonce @ SV905 ) ) ) @ ( c_List_Oset @ SV1506 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1506 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3681]) ).
thf(4002,plain,
! [SV1589: $i,SV1507: $i,SV1295: $i,SV906: $i,SV396: $i] :
( ( ! [SY3871: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV396 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV396 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV906 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1295 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1507 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1295 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1507 ) @ ( c_Message_Omsg_OAgent @ SV396 ) ) ) ) ) ) ) ) @ SV1589 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3871 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV396 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1295 ) @ ( c_Message_Omsg_ONonce @ SV906 ) ) ) ) @ ( c_List_Oset @ SV1589 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1507 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1507 ) @ ( c_Event_Oused @ SV1589 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1589 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3682]) ).
thf(4003,plain,
! [SV1590: $i,SV1508: $i,SV1296: $i,SV907: $i,SV397: $i] :
( ( ! [SY3872: $i] :
( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV397 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV397 ) @ ( c_Message_Omsg_OMPair @ SV907 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1296 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1508 ) @ SV1590 ) ) ) ) ) @ ( c_List_Oset @ SY3872 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SY3872 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SV397 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV397 ) @ ( c_Message_Omsg_OMPair @ SV907 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1296 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1508 ) @ SV1590 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SY3872 ) ) @ tc_Message_Omsg ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3683]) ).
thf(4004,plain,
! [SV1591: $i,SV1509: $i,SV1297: $i,SV908: $i,SV398: $i] :
( ( ! [SY3873: $i,SY3874: $i] :
( ( hBOOL @ ( c_in @ SV398 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV908 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1297 @ ( 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 @ SV908 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1509 @ SV1591 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1591 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3873 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3874 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1297 ) @ SV398 ) ) ) ) ) @ ( c_List_Oset @ SV908 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3684]) ).
thf(4005,plain,
! [SV1510: $i,SV1298: $i,SV909: $i,SV399: $i] :
( ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV399 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV399 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV909 ) @ ( c_Message_Omsg_ONonce @ SV1298 ) ) ) ) @ SV1510 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1298 ) @ ( 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)],[3685]) ).
thf(4006,plain,
! [SV400: $i,SV910: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV910 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV400 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV400 ) @ ( c_Event_Oused @ SV910 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV400 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV910 ) ) ) @ tc_nat ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3686]) ).
thf(4007,plain,
! [SV1592: $i,SV1511: $i,SV1299: $i,SV911: $i,SV401: $i] :
( ( ! [SY3875: $i,SY3876: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV401 @ SV911 @ SV1299 ) @ SV1511 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV401 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV401 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV911 ) @ ( c_Message_Omsg_ONonce @ SV1592 ) ) ) ) @ ( c_List_Oset @ SV1511 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3875 @ SV401 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV401 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1592 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV911 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3876 ) @ SV1299 ) ) ) ) ) @ ( c_List_Oset @ SV1511 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV401 = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_in @ SV1511 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3687]) ).
thf(4008,plain,
! [SV1593: $i,SV1512: $i,SV1300: $i,SV912: $i,SV402: $i] :
( ( ! [SY3877: $i,SY3878: $i,SY3879: $i,SY3880: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV402 @ SV912 @ ( c_Message_Omsg_OCrypt @ SV1300 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1512 ) @ ( c_Message_Omsg_ONonce @ SV1512 ) ) ) ) @ SV1593 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3877 @ SV402 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV402 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3878 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV912 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1300 ) @ SY3879 ) ) ) ) ) @ ( c_List_Oset @ SV1593 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3880 @ SV402 @ ( c_Message_Omsg_OCrypt @ SV1300 @ ( c_Message_Omsg_ONonce @ SV1512 ) ) ) @ ( c_List_Oset @ SV1593 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1300 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV1593 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3688]) ).
thf(4009,plain,
! [SV1594: $i,SV1513: $i,SV1301: $i,SV913: $i,SV403: $i] :
( ( ! [SY3881: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV403 @ SV913 @ ( c_Message_Omsg_OCrypt @ SV1301 @ ( c_Message_Omsg_ONonce @ SV1513 ) ) ) @ SV1594 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3881 @ SV403 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV403 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1301 ) @ ( c_Message_Omsg_OAgent @ SV913 ) ) ) ) @ ( c_List_Oset @ SV1594 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1301 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1513 ) @ ( c_Event_Oused @ SV1594 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1594 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3689]) ).
thf(4010,plain,
! [SV1595: $i,SV1514: $i,SV1302: $i,SV914: $i,SV404: $i] :
( ( ! [SY3882: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV404 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV404 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV914 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1302 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1514 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1302 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1514 ) @ ( c_Message_Omsg_OAgent @ SV404 ) ) ) ) ) ) ) ) @ SV1595 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3882 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV404 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1302 ) @ ( c_Message_Omsg_ONonce @ SV914 ) ) ) ) @ ( c_List_Oset @ SV1595 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1514 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1514 ) @ ( c_Event_Oused @ SV1595 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1595 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3690]) ).
thf(4011,plain,
! [SV1515: $i,SV1303: $i,SV915: $i,SV407: $i] :
( ( ( hBOOL @ ( c_in @ SV407 @ ( c_Event_Oknows @ SV915 @ SV1303 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV915 @ SV1515 @ SV407 ) @ ( c_List_Oset @ SV1303 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3691]) ).
thf(4012,plain,
! [SV916: $i,SV409: $i,SV1304: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV1304 @ SV409 ) @ ( c_Message_Oanalz @ SV916 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV409 @ ( c_Message_Oanalz @ SV916 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3692]) ).
thf(4013,plain,
! [SV917: $i,SV1305: $i,SV410: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV410 @ SV1305 ) @ ( c_Message_Oanalz @ SV917 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV410 @ ( c_Message_Oanalz @ SV917 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3693]) ).
thf(4014,plain,
! [SV918: $i,SV411: $i,SV1306: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV1306 @ SV411 ) @ ( c_Message_Oparts @ SV918 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV411 @ ( c_Message_Oparts @ SV918 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3694]) ).
thf(4015,plain,
! [SV919: $i,SV1307: $i,SV412: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV412 @ SV1307 ) @ ( c_Message_Oparts @ SV919 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV412 @ ( c_Message_Oparts @ SV919 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3695]) ).
thf(4016,plain,
! [SV920: $i,SV413: $i,SV1308: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV1308 @ SV413 ) @ ( c_Event_Oused @ SV920 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV413 @ ( c_Event_Oused @ SV920 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3696]) ).
thf(4017,plain,
! [SV921: $i,SV1309: $i,SV414: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV414 @ SV1309 ) @ ( c_Event_Oused @ SV921 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV414 @ ( c_Event_Oused @ SV921 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3697]) ).
thf(4018,plain,
! [SV415: $i,SV922: $i,SV1310: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1310 ) @ ( c_Message_Oanalz @ SV922 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1310 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1310 @ SV415 ) @ ( c_Message_Oanalz @ SV922 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV415 @ ( c_Message_Oanalz @ SV922 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3698]) ).
thf(4019,plain,
! [SV1516: $i,SV1311: $i,SV925: $i,SV418: $i] :
( ( ( hBOOL @ ( c_in @ SV418 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV925 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1311 @ SV1516 @ SV418 ) @ ( c_List_Oset @ SV925 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3701]) ).
thf(4020,plain,
! [SV1517: $i,SV1312: $i,SV926: $i,SV419: $i] :
( ( ( hBOOL @ ( c_in @ SV419 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV926 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1312 @ SV1517 @ SV419 ) @ ( c_List_Oset @ SV926 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3702]) ).
thf(4021,plain,
! [SV1596: $i,SV1518: $i,SV1313: $i,SV928: $i,SV421: $i] :
( ( ! [SY3883: $i,SY3884: $i,SY3885: $i] :
( ( hBOOL @ ( c_in @ SV421 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV928 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1313 @ SV1518 @ ( c_Message_Omsg_OCrypt @ SV1596 @ ( c_Message_Omsg_OMPair @ SY3883 @ ( c_Message_Omsg_OMPair @ SY3884 @ ( c_Message_Omsg_OMPair @ SY3885 @ SV421 ) ) ) ) ) @ ( c_List_Oset @ SV928 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3704]) ).
thf(4022,plain,
! [SV1597: $i,SV1519: $i,SV1314: $i,SV929: $i,SV424: $i] :
( ( ! [SY3886: $i,SY3887: $i] :
( ( SV424
= ( hAPP @ c_Public_OshrK @ SV929 ) )
| ~ ( hBOOL @ ( c_in @ SV1314 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV929 @ ( c_Message_Omsg_OCrypt @ SV424 @ ( c_Message_Omsg_OMPair @ SV1519 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1597 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3886 ) @ SY3887 ) ) ) ) ) @ ( c_List_Oset @ SV1314 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3705]) ).
thf(4023,plain,
! [SV930: $i,SV425: $i,SV1315: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1315 @ SV425 ) @ ( c_Message_Oparts @ SV930 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV425 @ ( c_Message_Oparts @ SV930 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3706]) ).
thf(4024,plain,
! [SV426: $i,SV931: $i,SV1316: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV1316 ) ) @ ( c_Message_Oanalz @ SV931 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1316 ) @ SV426 ) @ ( c_Message_Oanalz @ SV931 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV426 @ ( c_Message_Oanalz @ SV931 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3707]) ).
thf(4025,plain,
! [SV1520: $i,SV1317: $i,SV932: $i,SV427: $i] :
( ( ( hBOOL @ ( c_in @ SV427 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV932 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1317 @ SV1520 @ SV427 ) @ ( c_List_Oset @ SV932 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3708]) ).
thf(4026,plain,
! [SV1598: $i,SV1521: $i,SV1318: $i,SV934: $i,SV429: $i] :
( ( ! [SY3888: $i,SY3889: $i,SY3890: $i,SY3891: $i,SY3892: $i] :
( ( SV429 = SV934 )
| ~ ( hBOOL @ ( c_in @ SV1318 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV934 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV934 ) @ ( c_Message_Omsg_OMPair @ SV1521 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1598 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3888 ) @ SY3889 ) ) ) ) ) @ ( c_List_Oset @ SV1318 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV429 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV429 ) @ ( c_Message_Omsg_OMPair @ SY3890 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3891 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3888 ) @ SY3892 ) ) ) ) ) @ ( c_List_Oset @ SV1318 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3710]) ).
thf(4027,plain,
! [SV1599: $i,SV1522: $i,SV1319: $i,SV935: $i,SV430: $i] :
( ( ! [SY3893: $i,SY3894: $i,SY3895: $i,SY3896: $i,SY3897: $i] :
( ( SV430 = SV935 )
| ~ ( hBOOL @ ( c_in @ SV1319 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1522 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1522 ) @ ( c_Message_Omsg_OMPair @ SV935 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1599 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3893 ) @ SY3894 ) ) ) ) ) @ ( c_List_Oset @ SV1319 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3895 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3895 ) @ ( c_Message_Omsg_OMPair @ SV430 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3896 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3893 ) @ SY3897 ) ) ) ) ) @ ( c_List_Oset @ SV1319 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3711]) ).
thf(4028,plain,
! [SV1600: $i,SV1523: $i,SV1320: $i,SV936: $i,SV431: $i] :
( ( ! [SY3898: $i,SY3899: $i,SY3900: $i,SY3901: $i,SY3902: $i] :
( ( SV431 = SV936 )
| ~ ( hBOOL @ ( c_in @ SV1320 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1523 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1523 ) @ ( c_Message_Omsg_OMPair @ SV1600 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV936 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3898 ) @ SY3899 ) ) ) ) ) @ ( c_List_Oset @ SV1320 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3900 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3900 ) @ ( c_Message_Omsg_OMPair @ SY3901 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV431 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3898 ) @ SY3902 ) ) ) ) ) @ ( c_List_Oset @ SV1320 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3712]) ).
thf(4029,plain,
! [SV1601: $i,SV1524: $i,SV1321: $i,SV937: $i,SV432: $i] :
( ( ! [SY3903: $i,SY3904: $i,SY3905: $i,SY3906: $i,SY3907: $i] :
( ( SV432 = SV937 )
| ~ ( hBOOL @ ( c_in @ SV1321 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1524 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1524 ) @ ( c_Message_Omsg_OMPair @ SV1601 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3903 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3904 ) @ SV937 ) ) ) ) ) @ ( c_List_Oset @ SV1321 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3905 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3905 ) @ ( c_Message_Omsg_OMPair @ SY3906 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3907 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3904 ) @ SV432 ) ) ) ) ) @ ( c_List_Oset @ SV1321 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3713]) ).
thf(4030,plain,
! [SV1602: $i,SV1525: $i,SV1322: $i,SV938: $i,SV433: $i] :
( ( ! [SY3908: $i] :
( ( hBOOL @ ( c_in @ SV433 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV938 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1322 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1322 ) @ ( c_Message_Omsg_OMPair @ SV1525 @ ( c_Message_Omsg_OMPair @ SV1602 @ ( c_Message_Omsg_OMPair @ SV433 @ SY3908 ) ) ) ) ) @ ( c_List_Oset @ SV938 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3714]) ).
thf(4031,plain,
! [SV1526: $i,SV1323: $i,SV939: $i,SV434: $i] :
( ( ( hBOOL @ ( c_in @ SV434 @ ( c_Event_Oused @ SV939 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1323 @ SV1526 @ SV434 ) @ ( c_List_Oset @ SV939 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3715]) ).
thf(4032,plain,
! [SV1324: $i,SV437: $i,SV942: $i] :
( ( ( hBOOL @ ( hAPP @ SV942 @ SV437 ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV437 @ SV942 @ SV1324 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3717]) ).
thf(4033,plain,
! [SV1325: $i,SV438: $i,SV943: $i] :
( ( ( hBOOL @ ( c_in @ SV943 @ SV438 @ SV1325 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV438 @ SV943 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3718]) ).
thf(4034,plain,
! [SV1603: $i,SV1527: $i,SV1326: $i,SV944: $i,SV439: $i] :
( ( ! [SY3909: $i,SY3910: $i] :
( ( hBOOL @ ( c_in @ SV439 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV944 ) ) @ tc_Message_Omsg ) )
| ( SV439
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1326 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1527 ) @ ( c_Message_Omsg_OAgent @ SV1603 ) ) ) )
| ~ ( hBOOL @ ( c_in @ SV944 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3909 @ SV1603 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1603 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3910 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1326 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1527 ) @ SV439 ) ) ) ) ) @ ( c_List_Oset @ SV944 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3719]) ).
thf(4035,plain,
! [SV1604: $i,SV1528: $i,SV1327: $i,SV945: $i,SV440: $i] :
( ( ! [SY3911: $i,SY3912: $i] :
( ( SV440
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV945 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1327 ) @ ( c_Message_Omsg_OAgent @ SV1528 ) ) ) )
| ~ ( hBOOL @ ( c_in @ SV1604 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1528 @ ( c_Message_Omsg_OCrypt @ SY3911 @ ( c_Message_Omsg_OMPair @ SY3912 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV945 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1327 ) @ SV440 ) ) ) ) ) @ ( c_List_Oset @ SV1604 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3720]) ).
thf(4036,plain,
! [SV1328: $i,SV962: $i,SV457: $i] :
( ( ( c_fequal @ SV457 @ SV962 @ SV1328 )
= $false )
| ( ( SV457 = SV962 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3734]) ).
thf(4037,plain,
! [SV1529: $i,SV1329: $i,SV965: $i,SV460: $i] :
( ( ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV460 ) @ SV965 ) )
= ( hAPP @ ( c_Public_OpublicKey @ SV1329 ) @ SV1529 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3735]) ).
thf(4038,plain,
! [SV1530: $i,SV1333: $i,SV970: $i,SV466: $i] :
( ( ( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV466 @ tc_bool ) )
!= ( c_Set_Oimage @ SV970 @ SV1333 @ SV1530 @ SV466 ) )
= $true )
| ( ( SV1333
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1530 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3739]) ).
thf(4039,plain,
! [SV1531: $i,SV1334: $i,SV971: $i,SV467: $i] :
( ( ( ( c_Message_Omsg_OMPair @ SV467 @ SV971 )
!= ( c_Message_Omsg_OMPair @ SV1334 @ SV1531 ) )
= $true )
| ( ( SV467 = SV1334 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3740]) ).
thf(4040,plain,
! [SV1605: $i,SV1532: $i,SV1335: $i,SV973: $i,SV469: $i] :
( ( ( ( c_Set_Oinsert @ SV469 @ ( c_Set_Oinsert @ SV973 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1335 @ tc_bool ) ) @ SV1335 ) @ SV1335 )
!= ( c_Set_Oinsert @ SV1532 @ ( c_Set_Oinsert @ SV1605 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1335 @ tc_bool ) ) @ SV1335 ) @ SV1335 ) )
| ( SV469 = SV1605 )
| ( SV469 = SV1532 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3741]) ).
thf(4041,plain,
! [SV1533: $i,SV1336: $i,SV974: $i,SV470: $i] :
( ( ( c_Message_Omsg_OMPair @ SV470 @ SV974 )
= ( c_Message_Omsg_OCrypt @ SV1336 @ SV1533 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3742]) ).
thf(4042,plain,
! [SV1337: $i,SV975: $i,SV471: $i] :
( ( ( ( c_HOL_Ouminus__class_Ouminus @ SV471 @ ( tc_fun @ SV975 @ tc_bool ) )
= ( c_HOL_Ouminus__class_Ouminus @ SV1337 @ ( tc_fun @ SV975 @ tc_bool ) ) )
= $false )
| ( ( SV471 = SV1337 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3743]) ).
thf(4043,plain,
! [SV1534: $i,SV1339: $i,SV977: $i,SV473: $i] :
( ( ( ( c_Event_Oevent_OGets @ SV473 @ SV977 )
!= ( c_Event_Oevent_OGets @ SV1339 @ SV1534 ) )
= $true )
| ( ( SV473 = SV1339 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3745]) ).
thf(4044,plain,
! [SV1535: $i,SV1341: $i,SV981: $i,SV477: $i] :
( ( ( ( hAPP @ ( c_Public_OpublicKey @ SV477 ) @ SV981 )
!= ( hAPP @ ( c_Public_OpublicKey @ SV1341 ) @ SV1535 ) )
= $true )
| ( ( SV477 = SV1341 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3747]) ).
thf(4045,plain,
! [SV1606: $i,SV1536: $i,SV1343: $i,SV983: $i,SV479: $i] :
( ( ( ( c_List_Olist_OCons @ SV479 @ SV983 @ SV1343 )
!= ( c_List_Olist_OCons @ SV1536 @ SV1606 @ SV1343 ) )
| ( SV983 = SV1606 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3749]) ).
thf(4046,plain,
! [SV1607: $i,SV1537: $i,SV1345: $i,SV985: $i,SV481: $i] :
( ( ( c_Event_Oevent_ONotes @ SV481 @ SV985 )
!= ( c_Event_Oevent_OSays @ SV1345 @ SV1537 @ SV1607 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3751]) ).
thf(4047,plain,
! [SV1538: $i,SV1347: $i,SV987: $i,SV483: $i] :
( ( ( hAPP @ ( c_Public_OpublicKey @ SV483 ) @ SV987 )
= ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV1347 ) @ SV1538 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3753]) ).
thf(4048,plain,
! [SV1348: $i,SV988: $i,SV484: $i] :
( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV484 @ SV988 @ ( tc_fun @ SV1348 @ tc_bool ) )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1348 @ tc_bool ) ) )
= $false )
| ( ( SV988
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1348 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3754]) ).
thf(4049,plain,
! [SV1351: $i,SV991: $i,SV487: $i] :
( ( ( ( c_Message_Oanalz @ SV487 )
= ( c_Message_Oanalz @ SV991 ) )
= $false )
| ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV1351 @ SV487 @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV1351 @ SV991 @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3757]) ).
thf(4050,plain,
! [SV1539: $i,SV1352: $i,SV992: $i,SV488: $i] :
( ( ( c_Event_Oevent_ONotes @ SV488 @ SV992 )
= ( c_Event_Oevent_OGets @ SV1352 @ SV1539 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3758]) ).
thf(4051,plain,
! [SV1540: $i,SV1353: $i,SV993: $i,SV489: $i] :
( ( ( ( c_Message_Omsg_OMPair @ SV489 @ SV993 )
!= ( c_Message_Omsg_OMPair @ SV1353 @ SV1540 ) )
= $true )
| ( ( SV993 = SV1540 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3759]) ).
thf(4052,plain,
! [SV1541: $i,SV1354: $i,SV994: $i,SV490: $i] :
( ( ( ( c_Event_Oevent_ONotes @ SV490 @ SV994 )
!= ( c_Event_Oevent_ONotes @ SV1354 @ SV1541 ) )
= $true )
| ( ( SV994 = SV1541 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3760]) ).
thf(4053,plain,
! [SV1542: $i,SV1355: $i,SV995: $i,SV491: $i] :
( ( ( ( c_Message_Omsg_OCrypt @ SV491 @ SV995 )
!= ( c_Message_Omsg_OCrypt @ SV1355 @ SV1542 ) )
= $true )
| ( ( SV995 = SV1542 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3761]) ).
thf(4054,plain,
! [SV1543: $i,SV1356: $i,SV998: $i,SV495: $i] :
( ( ( ( c_Set_Oimage @ SV495 @ SV998 @ SV1356 @ SV1543 )
!= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1543 @ tc_bool ) ) )
= $true )
| ( ( SV998
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1356 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3763]) ).
thf(4055,plain,
! [SV1357: $i,SV999: $i,SV496: $i] :
( ( ( class_Lattices_Oboolean__algebra @ SV496 )
= $false )
| ( ( ( ( c_HOL_Ouminus__class_Ouminus @ SV999 @ SV496 )
!= ( c_HOL_Ouminus__class_Ouminus @ SV1357 @ SV496 ) )
| ( SV999 = SV1357 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3764]) ).
thf(4056,plain,
! [SV1608: $i,SV1544: $i,SV1359: $i,SV1001: $i,SV499: $i] :
( ( ! [SY3913: $i] :
( ( ( c_Event_Oevent_OSays @ SV499 @ SV1001 @ SV1359 )
!= ( c_Event_Oevent_OSays @ SV1544 @ SV1608 @ SY3913 ) )
| ( SV1359 = SY3913 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3766]) ).
thf(4057,plain,
! [SV1545: $i,SV1360: $i,SV1002: $i,SV500: $i] :
( ( ( ( c_Message_Omsg_OCrypt @ SV500 @ SV1002 )
!= ( c_Message_Omsg_OCrypt @ SV1360 @ SV1545 ) )
= $true )
| ( ( SV500 = SV1360 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3767]) ).
thf(4058,plain,
! [SV1546: $i,SV1361: $i,SV1003: $i,SV501: $i] :
( ( ( c_Event_Oevent_OGets @ SV501 @ SV1003 )
= ( c_Event_Oevent_ONotes @ SV1361 @ SV1546 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3768]) ).
thf(4059,plain,
! [SV1363: $i,SV1006: $i,SV504: $i] :
( ( ( class_Lattices_Oupper__semilattice @ SV504 )
= $false )
| ( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV1006 @ SV1363 @ SV504 )
!= SV1363 )
| ( c_lessequals @ SV1006 @ SV1363 @ SV504 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3771]) ).
thf(4060,plain,
! [SV1609: $i,SV1547: $i,SV1364: $i,SV1007: $i,SV505: $i] :
( ( ( c_Event_Oevent_OSays @ SV505 @ SV1007 @ SV1364 )
!= ( c_Event_Oevent_OGets @ SV1547 @ SV1609 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3772]) ).
thf(4061,plain,
! [SV1610: $i,SV1548: $i,SV1366: $i,SV1009: $i,SV507: $i] :
( ( ( c_Event_Oevent_OGets @ SV507 @ SV1009 )
!= ( c_Event_Oevent_OSays @ SV1366 @ SV1548 @ SV1610 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3774]) ).
thf(4062,plain,
! [SV1368: $i,SV1013: $i,SV511: $i] :
( ( ( class_Lattices_Obounded__lattice @ SV511 )
= $false )
| ( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV1013 @ SV1368 @ SV511 )
!= ( c_Orderings_Obot__class_Obot @ SV511 ) )
| ( SV1013
= ( c_Orderings_Obot__class_Obot @ SV511 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3778]) ).
thf(4063,plain,
! [SV1549: $i,SV1369: $i,SV1014: $i,SV513: $i] :
( ( ( ( c_Message_Oanalz @ SV513 )
!= ( c_Message_Oanalz @ SV1014 ) )
= $true )
| ( ( ( ( c_Message_Oanalz @ SV1369 )
!= ( c_Message_Oanalz @ SV1549 ) )
| ( ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1369 @ SV513 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1549 @ SV1014 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3779]) ).
thf(4064,plain,
! [SV1370: $i,SV1015: $i,SV514: $i] :
( ( ( ( c_Set_Oinsert @ SV514 @ SV1015 @ SV1370 )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1370 @ tc_bool ) ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV514 @ SV1015 @ SV1370 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3780]) ).
thf(4065,plain,
! [SV1371: $i,SV1016: $i,SV515: $i] :
( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV515 @ SV1016 @ ( tc_fun @ SV1371 @ tc_bool ) )
= SV1016 )
= $false )
| ( ( c_lessequals @ SV515 @ SV1016 @ ( tc_fun @ SV1371 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3781]) ).
thf(4066,plain,
! [SV1550: $i,SV1374: $i,SV1019: $i,SV518: $i] :
( ( ( ( c_Set_Oinsert @ SV518 @ SV1019 @ SV1374 )
!= ( c_Set_Oinsert @ SV518 @ SV1550 @ SV1374 ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ SV518 @ SV1550 @ SV1374 ) )
| ( hBOOL @ ( c_in @ SV518 @ SV1019 @ SV1374 ) )
| ( SV1019 = SV1550 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3784]) ).
thf(4067,plain,
! [SV1551: $i,SV1375: $i,SV1020: $i,SV519: $i] :
( ( ( c_Message_Omsg_OCrypt @ SV519 @ SV1020 )
= ( c_Message_Omsg_OMPair @ SV1375 @ SV1551 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[3785]) ).
thf(4068,plain,
! [SV1376: $i,SV1021: $i,SV520: $i] :
( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV520 @ SV1021 @ ( tc_fun @ SV1376 @ tc_bool ) )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1376 @ tc_bool ) ) )
= $false )
| ( ( SV520
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1376 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3786]) ).
thf(4069,plain,
! [SV1611: $i,SV1552: $i,SV1378: $i,SV1023: $i,SV522: $i] :
( ( ! [SY3914: $i] :
( ( ( c_Event_Oevent_OSays @ SV522 @ SV1023 @ SV1378 )
!= ( c_Event_Oevent_OSays @ SV1552 @ SV1611 @ SY3914 ) )
| ( SV1023 = SV1611 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3788]) ).
thf(4070,plain,
! [SV1553: $i,SV1381: $i,SV1027: $i,SV526: $i] :
( ( ( ( hAPP @ ( c_Public_OpublicKey @ SV526 ) @ SV1027 )
!= ( hAPP @ ( c_Public_OpublicKey @ SV1381 ) @ SV1553 ) )
= $true )
| ( ( SV1027 = SV1553 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3792]) ).
thf(4071,plain,
! [SV1383: $i,SV1029: $i,SV528: $i] :
( ( ( class_OrderedGroup_Ogroup__add @ SV528 )
= $false )
| ( ( ( ( c_HOL_Ouminus__class_Ouminus @ SV1029 @ SV528 )
!= ( c_HOL_Ouminus__class_Ouminus @ SV1383 @ SV528 ) )
| ( SV1029 = SV1383 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3794]) ).
thf(4072,plain,
! [SV1554: $i,SV1384: $i,SV1030: $i,SV529: $i] :
( ( ( ( c_Event_Oevent_ONotes @ SV529 @ SV1030 )
!= ( c_Event_Oevent_ONotes @ SV1384 @ SV1554 ) )
= $true )
| ( ( SV529 = SV1384 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3795]) ).
thf(4073,plain,
! [SV1612: $i,SV1555: $i,SV1385: $i,SV1031: $i,SV530: $i] :
( ( ( ( c_List_Olist_OCons @ SV530 @ SV1031 @ SV1385 )
!= ( c_List_Olist_OCons @ SV1555 @ SV1612 @ SV1385 ) )
| ( SV530 = SV1555 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3796]) ).
thf(4074,plain,
! [SV1613: $i,SV1556: $i,SV1386: $i,SV1032: $i,SV531: $i] :
( ( ( c_Event_Oevent_OSays @ SV531 @ SV1032 @ SV1386 )
!= ( c_Event_Oevent_ONotes @ SV1556 @ SV1613 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3797]) ).
thf(4075,plain,
! [SV1387: $i,SV1033: $i,SV532: $i] :
( ( ( class_Lattices_Obounded__lattice @ SV532 )
= $false )
| ( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV1033 @ SV1387 @ SV532 )
!= ( c_Orderings_Obot__class_Obot @ SV532 ) )
| ( SV1387
= ( c_Orderings_Obot__class_Obot @ SV532 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3798]) ).
thf(4076,plain,
! [SV1614: $i,SV1557: $i,SV1388: $i,SV1036: $i,SV535: $i] :
( ( ( ( c_Set_Oinsert @ SV535 @ ( c_Set_Oinsert @ SV1036 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1388 @ tc_bool ) ) @ SV1388 ) @ SV1388 )
!= ( c_Set_Oinsert @ SV1557 @ ( c_Set_Oinsert @ SV1614 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1388 @ tc_bool ) ) @ SV1388 ) @ SV1388 ) )
| ( SV535 = SV1614 )
| ( SV1036 = SV1614 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3801]) ).
thf(4077,plain,
! [SV1615: $i,SV1558: $i,SV1389: $i,SV1037: $i,SV537: $i] :
( ( ( ( c_Set_Oinsert @ SV537 @ ( c_Set_Oinsert @ SV1037 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1389 @ tc_bool ) ) @ SV1389 ) @ SV1389 )
!= ( c_Set_Oinsert @ SV1558 @ ( c_Set_Oinsert @ SV1615 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1389 @ tc_bool ) ) @ SV1389 ) @ SV1389 ) )
| ( SV1037 = SV1558 )
| ( SV537 = SV1558 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3802]) ).
thf(4078,plain,
! [SV1616: $i,SV1559: $i,SV1391: $i,SV1039: $i,SV539: $i] :
( ( ! [SY3915: $i] :
( ( ( c_Event_Oevent_OSays @ SV539 @ SV1039 @ SV1391 )
!= ( c_Event_Oevent_OSays @ SV1559 @ SV1616 @ SY3915 ) )
| ( SV539 = SV1559 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3804]) ).
thf(4079,plain,
! [SV1393: $i,SV1042: $i,SV542: $i] :
( ( ( ( c_Set_Oinsert @ SV542 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1042 @ tc_bool ) ) @ SV1042 )
= ( c_Set_Oinsert @ SV1393 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1042 @ tc_bool ) ) @ SV1042 ) )
= $false )
| ( ( SV542 = SV1393 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3807]) ).
thf(4080,plain,
! [SV1560: $i,SV1394: $i,SV1043: $i,SV543: $i] :
( ( ( ( c_Event_Oevent_OGets @ SV543 @ SV1043 )
!= ( c_Event_Oevent_OGets @ SV1394 @ SV1560 ) )
= $true )
| ( ( SV1043 = SV1560 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3808]) ).
thf(4081,plain,
! [SV1617: $i,SV1561: $i,SV1395: $i,SV1044: $i,SV544: $i] :
( ( ( ( c_Set_Oinsert @ SV544 @ ( c_Set_Oinsert @ SV1044 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1395 @ tc_bool ) ) @ SV1395 ) @ SV1395 )
!= ( c_Set_Oinsert @ SV1561 @ ( c_Set_Oinsert @ SV1617 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1395 @ tc_bool ) ) @ SV1395 ) @ SV1395 ) )
| ( SV1044 = SV1561 )
| ( SV1044 = SV1617 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3809]) ).
thf(4082,plain,
! [SV547: $i,SV1397: $i,SV2: $i,SV1047: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV1047 ) @ SV2 ) ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV1397 ) @ SV547 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV2 @ SV547 @ tc_Message_Oagent ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3812]) ).
thf(4083,plain,
! [SV1399: $i,SV550: $i,SV1050: $i,SV5: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_OinvKey @ ( hAPP @ ( c_Public_OpublicKey @ SV5 ) @ SV1050 ) ) @ ( c_Set_Oimage @ c_Message_OinvKey @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV550 ) @ SV1399 @ tc_Message_Oagent @ tc_nat ) @ tc_nat @ tc_nat ) @ tc_nat ) )
= $false )
| ( ( SV5 = SV550 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3814]) ).
thf(4084,plain,
! [SV1051: $i,SV553: $i,SV8: $i] :
( ( ( hBOOL @ ( c_in @ SV8 @ ( c_HOL_Ouminus__class_Ouminus @ SV553 @ ( tc_fun @ SV1051 @ tc_bool ) ) @ SV1051 ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV8 @ SV553 @ SV1051 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3815]) ).
thf(4085,plain,
! [SV1053: $i,SV10: $i,SV555: $i] :
( ( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV555 @ SV10 ) @ SV1053 @ SV10 )
= $true )
| ( ( ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV1053 @ SV10 ) @ SV555 @ SV10 ) )
= $true )
| ( ( class_OrderedGroup_Opordered__ab__group__add @ SV10 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3816]) ).
thf(4086,plain,
! [SV1054: $i,SV11: $i,SV556: $i] :
( ( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV556 @ SV11 ) @ SV1054 @ SV11 )
= $true )
| ( ( ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV1054 @ SV11 ) @ SV556 @ SV11 ) )
= $true )
| ( ( class_OrderedGroup_Opordered__ab__group__add @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3817]) ).
thf(4087,plain,
! [SV12: $i,SV1055: $i,SV557: $i] :
( ( ( c_lessequals @ SV557 @ ( c_HOL_Ouminus__class_Ouminus @ SV1055 @ SV12 ) @ SV12 )
= $true )
| ( ( ~ ( c_lessequals @ SV1055 @ ( c_HOL_Ouminus__class_Ouminus @ SV557 @ SV12 ) @ SV12 ) )
= $true )
| ( ( class_OrderedGroup_Opordered__ab__group__add @ SV12 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3818]) ).
thf(4088,plain,
! [SV13: $i,SV1056: $i,SV558: $i] :
( ( ( c_lessequals @ SV558 @ ( c_HOL_Ouminus__class_Ouminus @ SV1056 @ SV13 ) @ SV13 )
= $true )
| ( ( ~ ( c_lessequals @ SV1056 @ ( c_HOL_Ouminus__class_Ouminus @ SV558 @ SV13 ) @ SV13 ) )
= $true )
| ( ( class_OrderedGroup_Opordered__ab__group__add @ SV13 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3819]) ).
thf(4089,plain,
! [SV569: $i,SV24: $i] :
( ( ( hBOOL @ ( hAPP @ SV24 @ c_Public_Okeymode_OSignature ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV24 @ c_Public_Okeymode_OEncryption ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV24 @ SV569 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3820]) ).
thf(4090,plain,
! [SV25: $i,SV1057: $i,SV570: $i] :
( ( ( c_lessequals @ SV570 @ SV1057 @ SV25 )
= $true )
| ( ( ~ ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV1057 @ SV25 ) @ ( c_HOL_Ouminus__class_Ouminus @ SV570 @ SV25 ) @ SV25 ) )
= $true )
| ( ( class_OrderedGroup_Opordered__ab__group__add @ SV25 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3821]) ).
thf(4091,plain,
! [SV1058: $i,SV26: $i,SV571: $i] :
( ( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV571 @ SV26 ) @ ( c_HOL_Ouminus__class_Ouminus @ SV1058 @ SV26 ) @ SV26 )
= $true )
| ( ( ~ ( c_lessequals @ SV1058 @ SV571 @ SV26 ) )
= $true )
| ( ( class_OrderedGroup_Opordered__ab__group__add @ SV26 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3822]) ).
thf(4092,plain,
! [SV43: $i,SV581: $i,SV1062: $i] :
( ( ( hBOOL @ ( c_in @ SV1062 @ ( c_Message_Osynth @ SV581 ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV43 @ ( c_Message_Osynth @ ( c_Set_Oinsert @ SV1062 @ SV581 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV43 @ ( c_Message_Osynth @ SV581 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3826]) ).
thf(4093,plain,
! [SV1404: $i,SV1073: $i,SV596: $i,SV62: $i] :
( ( ( class_Lattices_Oupper__semilattice @ SV62 )
= $false )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV596 @ SV1073 @ SV62 ) @ SV1404 @ SV62 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV596 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1073 @ SV1404 @ SV62 ) @ SV62 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3830]) ).
thf(4094,plain,
! [SV1405: $i,SV1074: $i,SV597: $i,SV63: $i] :
( ( ( class_Lattices_Oupper__semilattice @ SV63 )
= $false )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV597 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1074 @ SV1405 @ SV63 ) @ SV63 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV1074 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV597 @ SV1405 @ SV63 ) @ SV63 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3831]) ).
thf(4095,plain,
! [SV1407: $i,SV1076: $i,SV599: $i,SV65: $i] :
( ( ( class_Lattices_Olattice @ SV65 )
= $false )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV599 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1076 @ SV1407 @ SV65 ) @ SV65 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV1076 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV599 @ SV1407 @ SV65 ) @ SV65 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3832]) ).
thf(4096,plain,
! [SV1408: $i,SV1077: $i,SV600: $i,SV66: $i] :
( ( ( class_Lattices_Olattice @ SV66 )
= $false )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV600 @ SV1077 @ SV66 ) @ SV1408 @ SV66 )
= ( c_Lattices_Oupper__semilattice__class_Osup @ SV600 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1077 @ SV1408 @ SV66 ) @ SV66 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3833]) ).
thf(4097,plain,
! [SV67: $i,SV1078: $i,SV1409: $i,SV601: $i] :
( ( ( ~ ( c_lessequals @ SV601 @ SV1409 @ ( tc_fun @ SV1078 @ tc_bool ) ) )
= $true )
| ( ( ~ ( c_lessequals @ SV67 @ SV1409 @ ( tc_fun @ SV1078 @ tc_bool ) ) )
= $true )
| ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV67 @ SV601 @ ( tc_fun @ SV1078 @ tc_bool ) ) @ SV1409 @ ( tc_fun @ SV1078 @ tc_bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3834]) ).
thf(4098,plain,
! [SV70: $i,SV1081: $i,SV1410: $i,SV604: $i] :
( ( ( ~ ( c_lessequals @ SV604 @ SV1410 @ ( tc_fun @ SV1081 @ tc_bool ) ) )
= $true )
| ( ( ~ ( c_lessequals @ SV70 @ SV1410 @ ( tc_fun @ SV1081 @ tc_bool ) ) )
= $true )
| ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV70 @ SV604 @ ( tc_fun @ SV1081 @ tc_bool ) ) @ SV1410 @ ( tc_fun @ SV1081 @ tc_bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3835]) ).
thf(4099,plain,
! [SV1411: $i,SV1082: $i,SV605: $i,SV71: $i] :
( ( ( class_Lattices_Oupper__semilattice @ SV71 )
= $false )
| ( ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV605 @ SV1082 @ SV71 ) @ SV1411 @ SV71 )
| ~ ( c_lessequals @ SV1082 @ SV1411 @ SV71 )
| ~ ( c_lessequals @ SV605 @ SV1411 @ SV71 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3836]) ).
thf(4100,plain,
! [SV1412: $i,SV1085: $i,SV608: $i,SV74: $i] :
( ( ( class_Lattices_Oupper__semilattice @ SV74 )
= $false )
| ( ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV608 @ SV1085 @ SV74 ) @ SV1412 @ SV74 )
| ~ ( c_lessequals @ SV1085 @ SV1412 @ SV74 )
| ~ ( c_lessequals @ SV608 @ SV1412 @ SV74 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3839]) ).
thf(4101,plain,
! [SV1413: $i,SV1086: $i,SV609: $i,SV75: $i] :
( ( ( class_Lattices_Oupper__semilattice @ SV75 )
= $false )
| ( ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV609 @ SV1086 @ SV75 ) @ SV1413 @ SV75 )
| ~ ( c_lessequals @ SV1086 @ SV1413 @ SV75 )
| ~ ( c_lessequals @ SV609 @ SV1413 @ SV75 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3840]) ).
thf(4102,plain,
! [SV1414: $i,SV1089: $i,SV612: $i,SV78: $i] :
( ( ( class_Orderings_Olinorder @ SV78 )
= $false )
| ( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV612 @ SV1089 @ SV78 ) @ SV78 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1414 @ ( c_List_Olist_OCons @ SV612 @ SV1089 @ SV78 ) @ SV78 ) @ SV78 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3843]) ).
thf(4103,plain,
! [SV1090: $i,SV79: $i,SV613: $i] :
( ( ( c_List_Olinorder__class_Osorted @ SV613 @ SV79 )
= $true )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1090 @ SV613 @ SV79 ) @ SV79 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV79 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3844]) ).
thf(4104,plain,
! [SV91: $i,SV623: $i,SV1099: $i] :
( ( ( hBOOL @ ( c_in @ SV1099 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV623 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV91 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV1099 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV91 @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV623 ) ) @ ( c_Message_Oparts @ SV623 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3849]) ).
thf(4105,plain,
! [SV1100: $i,SV1415: $i,SV624: $i,SV92: $i] :
( ( ( hBOOL @ ( c_in @ SV92 @ SV624 @ SV1415 ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV92 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV624 @ SV1100 @ ( tc_fun @ SV1415 @ tc_bool ) ) @ SV1415 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3850]) ).
thf(4106,plain,
! [SV625: $i,SV1416: $i,SV1101: $i,SV93: $i] :
( ( ( hBOOL @ ( c_in @ SV93 @ SV1101 @ SV1416 ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV93 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV625 @ SV1101 @ ( tc_fun @ SV1416 @ tc_bool ) ) @ SV1416 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3851]) ).
thf(4107,plain,
! [SV630: $i,SV1103: $i,SV1417: $i,SV98: $i] :
( ( ( hBOOL @ ( c_in @ SV98 @ SV1417 @ SV1103 ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV98 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1417 @ SV630 @ ( tc_fun @ SV1103 @ tc_bool ) ) @ SV1103 ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV98 @ SV630 @ SV1103 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3853]) ).
thf(4108,plain,
! [SV99: $i,SV1104: $i,SV631: $i] :
( ( ( hBOOL @ ( c_in @ SV631 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1104 @ tc_bool ) ) @ SV1104 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV99 @ SV631 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[3854]) ).
thf(4109,plain,
! [SV102: $i,SV634: $i,SV1105: $i] :
( ( ( hBOOL @ ( c_in @ SV1105 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV634 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV102 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV1105 @ SV634 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV102 @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV634 ) ) @ ( c_Message_Oparts @ SV634 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3855]) ).
thf(4110,plain,
! [SV1418: $i,SV638: $i,SV1106: $i,SV107: $i] :
( ( ( hBOOL @ ( c_in @ SV107 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1106 @ SV638 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) ) @ tc_nat ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1418 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV638 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV107 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV1418 @ SV1106 @ tc_Message_Omsg ) ) ) @ tc_nat ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV107 ) ) @ ( c_Message_Oparts @ SV638 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3856]) ).
thf(4111,plain,
! [SV113: $i,SV1111: $i,SV644: $i] :
( ( ( hBOOL @ ( c_in @ SV644 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1111 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV113 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1111 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV113 @ SV644 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1111 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3859]) ).
thf(4112,plain,
! [SV1114: $i,SV647: $i,SV116: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV116 @ SV647 ) @ SV1114 @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV116 ) @ SV1114 @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV116 @ SV647 ) @ ( c_Message_Osynth @ SV1114 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3860]) ).
thf(4113,plain,
! [SV1115: $i,SV648: $i,SV117: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV117 @ SV648 ) @ ( c_Message_Osynth @ SV1115 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV117 ) @ SV1115 @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV117 @ SV648 ) @ SV1115 @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3861]) ).
thf(4114,plain,
! [SV1116: $i,SV649: $i,SV118: $i] :
( ( ( hBOOL @ ( c_in @ SV118 @ SV649 @ tc_nat ) )
= $false )
| ( ( ~ ( c_lessequals @ SV649 @ ( 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 @ SV1116 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV118 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV649 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1116 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3862]) ).
thf(4115,plain,
! [SV650: $i,SV1117: $i,SV119: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV119 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV1117 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV650 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1117 @ ( 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 @ SV650 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV119 @ SV1117 @ tc_nat ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV119 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV650 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3863]) ).
thf(4116,plain,
! [SV651: $i,SV1118: $i,SV120: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV120 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1118 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( c_lessequals @ SV651 @ ( 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 @ SV1118 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV120 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV651 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1118 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3864]) ).
thf(4117,plain,
! [SV1420: $i,SV128: $i,SV659: $i,SV1119: $i] :
( ( ( hBOOL @ ( hAPP @ SV1119 @ SV659 ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1119 @ SV128 @ ( tc_fun @ SV1420 @ tc_bool ) ) @ SV659 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV128 @ SV659 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3865]) ).
thf(4118,plain,
! [SV1120: $i,SV129: $i,SV1421: $i,SV660: $i] :
( ( ( hBOOL @ ( hAPP @ SV660 @ SV1421 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV129 @ SV660 @ ( tc_fun @ SV1120 @ tc_bool ) ) @ SV1421 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3866]) ).
thf(4119,plain,
! [SV1121: $i,SV661: $i,SV1422: $i,SV130: $i] :
( ( ( hBOOL @ ( hAPP @ SV130 @ SV1422 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV130 @ SV661 @ ( tc_fun @ SV1121 @ tc_bool ) ) @ SV1422 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3867]) ).
thf(4120,plain,
! [SV138: $i,SV1123: $i,SV669: $i] :
( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV669 @ SV1123 @ SV138 )
= SV669 )
= $true )
| ( ( ~ ( c_lessequals @ SV1123 @ SV669 @ SV138 ) )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV138 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3868]) ).
thf(4121,plain,
! [SV139: $i,SV1124: $i,SV670: $i] :
( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV670 @ SV1124 @ SV139 )
= SV1124 )
= $true )
| ( ( ~ ( c_lessequals @ SV670 @ SV1124 @ SV139 ) )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV139 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3869]) ).
thf(4122,plain,
! [SV1563: $i,SV1424: $i,SV1128: $i,SV675: $i,SV145: $i] :
( ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV145 @ SV675 @ ( tc_fun @ SV1128 @ tc_bool ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1424 @ SV1563 @ ( tc_fun @ SV1128 @ tc_bool ) ) @ ( tc_fun @ SV1128 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV675 @ SV1563 @ ( tc_fun @ SV1128 @ tc_bool ) )
| ~ ( c_lessequals @ SV145 @ SV1424 @ ( tc_fun @ SV1128 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3873]) ).
thf(4123,plain,
! [SV1425: $i,SV1129: $i,SV676: $i,SV150: $i] :
( ( ( class_Lattices_Oupper__semilattice @ SV150 )
= $false )
| ( ( ( c_lessequals @ SV676 @ SV1129 @ SV150 )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1425 @ SV676 @ SV150 ) @ SV1129 @ SV150 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3874]) ).
thf(4124,plain,
! [SV1426: $i,SV1130: $i,SV677: $i,SV151: $i] :
( ( ( class_Lattices_Oupper__semilattice @ SV151 )
= $false )
| ( ( ( c_lessequals @ SV677 @ SV1130 @ SV151 )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV677 @ SV1426 @ SV151 ) @ SV1130 @ SV151 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3875]) ).
thf(4125,plain,
! [SV1427: $i,SV1131: $i,SV678: $i,SV152: $i] :
( ( ( class_Lattices_Oupper__semilattice @ SV152 )
= $false )
| ( ( ( c_lessequals @ SV678 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1131 @ SV1427 @ SV152 ) @ SV152 )
| ~ ( c_lessequals @ SV678 @ SV1427 @ SV152 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3876]) ).
thf(4126,plain,
! [SV1428: $i,SV1132: $i,SV679: $i,SV153: $i] :
( ( ( class_Lattices_Oupper__semilattice @ SV153 )
= $false )
| ( ( ( c_lessequals @ SV679 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1132 @ SV1428 @ SV153 ) @ SV153 )
| ~ ( c_lessequals @ SV679 @ SV1132 @ SV153 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3877]) ).
thf(4127,plain,
! [SV1429: $i,SV1133: $i,SV680: $i,SV154: $i] :
( ( ( class_Lattices_Oupper__semilattice @ SV154 )
= $false )
| ( ( ( c_lessequals @ SV680 @ SV1133 @ SV154 )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1429 @ SV680 @ SV154 ) @ SV1133 @ SV154 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3878]) ).
thf(4128,plain,
! [SV1430: $i,SV1134: $i,SV681: $i,SV155: $i] :
( ( ( class_Lattices_Oupper__semilattice @ SV155 )
= $false )
| ( ( ( c_lessequals @ SV681 @ SV1134 @ SV155 )
| ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV681 @ SV1430 @ SV155 ) @ SV1134 @ SV155 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3879]) ).
thf(4129,plain,
! [SV682: $i,SV1135: $i,SV1431: $i,SV156: $i] :
( ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV156 @ SV1431 @ ( tc_fun @ SV1135 @ tc_bool ) ) @ SV682 @ ( tc_fun @ SV1135 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV156 @ SV682 @ ( tc_fun @ SV1135 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3880]) ).
thf(4130,plain,
! [SV683: $i,SV1136: $i,SV157: $i,SV1432: $i] :
( ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1432 @ SV157 @ ( tc_fun @ SV1136 @ tc_bool ) ) @ SV683 @ ( tc_fun @ SV1136 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV157 @ SV683 @ ( tc_fun @ SV1136 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3881]) ).
thf(4131,plain,
! [SV1137: $i,SV686: $i,SV160: $i] :
( ( ( c_lessequals @ SV160 @ ( c_Set_Oinsert @ SV686 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1137 @ tc_bool ) ) @ SV1137 ) @ ( tc_fun @ SV1137 @ tc_bool ) )
= $false )
| ( ( SV160
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1137 @ tc_bool ) ) )
= $true )
| ( ( SV160
= ( c_Set_Oinsert @ SV686 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1137 @ tc_bool ) ) @ SV1137 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3882]) ).
thf(4132,plain,
! [SV688: $i,SV1139: $i,SV163: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV163 ) @ ( c_Message_Oanalz @ SV1139 ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV163 ) @ ( c_Message_Oanalz @ SV1139 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV163 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV688 @ tc_nat @ tc_Message_Omsg ) @ SV1139 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3884]) ).
thf(4133,plain,
! [SV689: $i,SV1140: $i,SV164: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV164 ) @ ( c_Message_Oanalz @ SV1140 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV164 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV689 @ tc_nat @ tc_Message_Omsg ) @ SV1140 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV164 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV689 @ tc_nat @ tc_Message_Omsg ) @ SV1140 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3885]) ).
thf(4134,plain,
! [SV1434: $i,SV1141: $i,SV691: $i,SV166: $i] :
( ( ( class_Orderings_Olinorder @ SV166 )
= $false )
| ( ( ( c_lessequals @ SV691 @ SV1141 @ SV166 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV691 @ ( c_List_Olist_OCons @ SV1141 @ SV1434 @ SV166 ) @ SV166 ) @ SV166 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3886]) ).
thf(4135,plain,
! [SV1435: $i,SV1142: $i,SV692: $i,SV167: $i] :
( ( ( class_Orderings_Olinorder @ SV167 )
= $false )
| ( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV692 @ ( c_List_Olist_OCons @ SV1142 @ SV1435 @ SV167 ) @ SV167 ) @ SV167 )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1142 @ SV1435 @ SV167 ) @ SV167 )
| ~ ( c_lessequals @ SV692 @ SV1142 @ SV167 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3887]) ).
thf(4136,plain,
! [SV693: $i,SV1143: $i,SV168: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV168 @ SV1143 ) @ ( c_Message_Osynth @ SV693 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV168 @ SV1143 ) @ SV693 @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV168 @ ( c_Message_Osynth @ SV693 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3888]) ).
thf(4137,plain,
! [SV694: $i,SV169: $i,SV1144: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV1144 @ SV169 ) @ ( c_Message_Osynth @ SV694 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV1144 @ SV169 ) @ SV694 @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV169 @ ( c_Message_Osynth @ SV694 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3889]) ).
thf(4138,plain,
! [SV170: $i,SV1145: $i,SV695: $i] :
( ( ( hBOOL @ ( c_in @ SV695 @ ( c_Message_Osynth @ SV1145 ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV170 @ ( c_Message_Osynth @ SV1145 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV170 @ SV695 ) @ ( c_Message_Osynth @ SV1145 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3890]) ).
thf(4139,plain,
! [SV696: $i,SV1146: $i,SV172: $i] :
( ( ( hBOOL @ ( c_in @ SV172 @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1146 @ SV696 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV172 @ ( c_Message_Oparts @ SV1146 ) @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV172 @ ( c_Message_Oparts @ SV696 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3891]) ).
thf(4140,plain,
! [SV697: $i,SV173: $i,SV1147: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1147 @ SV173 ) @ ( c_Message_Osynth @ SV697 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1147 @ SV173 ) @ SV697 @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV173 @ ( c_Message_Osynth @ SV697 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3892]) ).
thf(4141,plain,
! [SV701: $i,SV178: $i,SV1149: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1149 @ SV178 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV701 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV1149 ) ) @ ( c_Message_Oanalz @ SV701 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1149 ) @ ( c_Message_Oanalz @ SV701 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV178 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV701 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3894]) ).
thf(4142,plain,
! [SV179: $i,SV1150: $i,SV702: $i] :
( ( ( hBOOL @ ( c_in @ SV702 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1150 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV179 ) ) @ ( c_Message_Oanalz @ SV1150 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV179 ) @ ( c_Message_Oanalz @ SV1150 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV179 @ SV702 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1150 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3895]) ).
thf(4143,plain,
! [SV705: $i,SV1151: $i,SV183: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV183 ) @ ( c_Message_Oanalz @ SV1151 ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV183 @ SV705 @ tc_nat ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV183 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV705 @ tc_nat @ tc_Message_Omsg ) @ SV1151 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3896]) ).
thf(4144,plain,
! [SV1152: $i,SV706: $i,SV184: $i] :
( ( ( hBOOL @ ( c_in @ SV184 @ SV706 @ tc_nat ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV184 ) @ ( c_Message_Oanalz @ SV1152 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV184 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV706 @ tc_nat @ tc_Message_Omsg ) @ SV1152 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3897]) ).
thf(4145,plain,
! [SV1153: $i,SV707: $i,SV185: $i] :
( ( ( hBOOL @ ( c_in @ SV185 @ SV707 @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV185 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV707 @ tc_nat @ tc_Message_Omsg ) @ SV1153 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV185 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV707 @ tc_nat @ tc_Message_Omsg ) @ SV1153 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3898]) ).
thf(4146,plain,
! [SV1154: $i,SV708: $i,SV186: $i] :
( ( ( hBOOL @ ( c_in @ SV186 @ SV708 @ tc_nat ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV186 @ SV708 @ tc_nat ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV186 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV708 @ tc_nat @ tc_Message_Omsg ) @ SV1154 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3899]) ).
thf(4147,plain,
! [SV191: $i,SV712: $i,SV1155: $i] :
( ( ( c_lessequals @ SV1155 @ ( c_Message_Osynth @ SV712 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV191 @ ( c_Message_Osynth @ SV1155 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV191 @ ( c_Message_Osynth @ SV712 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3900]) ).
thf(4148,plain,
! [SV1156: $i,SV196: $i,SV1436: $i,SV717: $i] :
( ( ( ~ ( c_lessequals @ ( c_Message_Oanalz @ SV717 ) @ ( c_Message_Oanalz @ SV1436 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true )
| ( ( ~ ( c_lessequals @ ( c_Message_Oanalz @ SV196 ) @ ( c_Message_Oanalz @ SV1156 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true )
| ( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV196 @ SV717 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1156 @ SV1436 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3901]) ).
thf(4149,plain,
! [SV719: $i,SV1157: $i,SV202: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV202 @ SV1157 ) @ ( c_Message_Osynth @ SV719 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV202 @ SV1157 ) @ SV719 @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV202 ) @ SV719 @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3902]) ).
thf(4150,plain,
! [SV720: $i,SV1158: $i,SV203: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV203 ) @ SV1158 @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV720 @ ( c_Message_Osynth @ SV1158 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV203 @ SV720 ) @ ( c_Message_Osynth @ SV1158 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3903]) ).
thf(4151,plain,
! [SV721: $i,SV204: $i,SV1159: $i,SV1437: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV1437 @ ( c_Message_Oparts @ SV1159 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV204 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV1437 @ SV721 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV204 @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV721 @ SV1159 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3904]) ).
thf(4152,plain,
! [SV1439: $i,SV1163: $i,SV736: $i,SV222: $i] :
( ( ( class_Orderings_Olinorder @ SV222 )
= $false )
| ( ( ( c_lessequals @ SV736 @ SV1163 @ SV222 )
| ~ ( hBOOL @ ( c_in @ SV1163 @ ( c_List_Oset @ SV1439 @ SV222 ) @ SV222 ) )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV736 @ SV1439 @ SV222 ) @ SV222 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3907]) ).
thf(4153,plain,
! [SV223: $i,SV737: $i,SV1164: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV1164 ) ) @ ( c_Message_Oanalz @ SV737 ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1164 @ SV223 ) @ ( c_Message_Oanalz @ SV737 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV223 @ ( c_Message_Oanalz @ SV737 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3908]) ).
thf(4154,plain,
! [SV1168: $i,SV227: $i,SV741: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OGets @ SV741 @ SV227 ) @ ( c_List_Oset @ SV1168 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV741 @ ( c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1 @ SV741 @ SV227 @ SV1168 ) @ SV227 ) @ ( c_List_Oset @ SV1168 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV741 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( c_in @ SV227 @ ( c_Event_Oknows @ SV741 @ SV1168 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SV741 @ SV227 ) @ ( c_List_Oset @ SV1168 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV227 @ ( c_Event_OinitState @ SV741 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3911]) ).
thf(4155,plain,
! [SV745: $i,SV1440: $i,SV1172: $i,SV231: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV231 ) @ ( c_Message_Oanalz @ SV1172 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1440 @ SV1172 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV745 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1440 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV231 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV745 @ SV1172 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3913]) ).
thf(4156,plain,
! [SV1441: $i,SV746: $i,SV1173: $i,SV232: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV232 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV1173 @ SV746 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1441 @ SV746 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV1173 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1441 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV232 ) @ ( c_Message_Oanalz @ SV746 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3914]) ).
thf(4157,plain,
! [SV237: $i,SV1177: $i,SV751: $i] :
( ( ( hBOOL @ ( c_in @ SV751 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1177 ) ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1177 ) ) )
= $true )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ SV237 @ SV751 ) @ SV1177 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3918]) ).
thf(4158,plain,
! [SV238: $i,SV1178: $i,SV752: $i] :
( ( ( hBOOL @ ( c_in @ SV752 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1178 ) ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV1178 @ 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 @ SV238 @ SV752 ) @ SV1178 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3919]) ).
thf(4159,plain,
! [SV246: $i,SV760: $i,SV1185: $i] :
( ( ( c_lessequals @ SV1185 @ SV760 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV246 @ ( c_Message_Oanalz @ SV1185 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV246 @ SV760 @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ SV760 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3921]) ).
thf(4160,plain,
! [SV266: $i,SV780: $i,SV1195: $i] :
( ( ( hBOOL @ ( c_in @ SV1195 @ ( c_Message_Oanalz @ SV780 ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV266 @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV1195 @ SV780 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV266 @ ( c_Message_Oanalz @ SV780 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3922]) ).
thf(4161,plain,
! [SV1566: $i,SV1449: $i,SV1201: $i,SV788: $i,SV274: $i] :
( ( ( ( c_Set_Oinsert @ ( hAPP @ SV274 @ SV788 ) @ ( c_Set_Oimage @ SV274 @ SV1201 @ SV1449 @ SV1566 ) @ SV1566 )
= ( c_Set_Oimage @ SV274 @ SV1201 @ SV1449 @ SV1566 ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV788 @ SV1201 @ SV1449 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3926]) ).
thf(4162,plain,
! [SV275: $i,SV1202: $i,SV1450: $i,SV789: $i] :
( ( ( ~ ( c_lessequals @ SV789 @ SV1450 @ ( tc_fun @ SV1202 @ tc_bool ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV275 @ SV1450 @ SV1202 ) ) )
= $true )
| ( ( c_lessequals @ ( c_Set_Oinsert @ SV275 @ SV789 @ SV1202 ) @ SV1450 @ ( tc_fun @ SV1202 @ tc_bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3927]) ).
thf(4163,plain,
! [SV790: $i,SV1203: $i,SV1451: $i,SV276: $i] :
( ( ( c_lessequals @ ( c_Set_Oinsert @ SV276 @ SV1451 @ SV1203 ) @ SV790 @ ( tc_fun @ SV1203 @ tc_bool ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV276 @ SV790 @ SV1203 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3928]) ).
thf(4164,plain,
! [SV791: $i,SV1452: $i,SV1204: $i,SV277: $i] :
( ( ( ~ ( c_lessequals @ SV277 @ SV1204 @ ( tc_fun @ SV1452 @ tc_bool ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV791 @ SV277 @ SV1452 ) )
= $true )
| ( ( c_lessequals @ SV277 @ ( c_Set_Oinsert @ SV791 @ SV1204 @ SV1452 ) @ ( tc_fun @ SV1452 @ tc_bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3929]) ).
thf(4165,plain,
! [SV792: $i,SV1205: $i,SV278: $i,SV1453: $i] :
( ( ( hBOOL @ ( c_in @ SV1453 @ SV278 @ SV1205 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV278 @ ( c_Set_Oinsert @ SV1453 @ SV792 @ SV1205 ) @ ( tc_fun @ SV1205 @ tc_bool ) ) )
= $true )
| ( ( c_lessequals @ SV278 @ SV792 @ ( tc_fun @ SV1205 @ tc_bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3930]) ).
thf(4166,plain,
! [SV793: $i,SV1454: $i,SV1206: $i,SV279: $i] :
( ( ( ~ ( c_lessequals @ SV279 @ SV1206 @ ( tc_fun @ SV1454 @ tc_bool ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV793 @ SV279 @ SV1454 ) )
= $true )
| ( ( c_lessequals @ SV279 @ ( c_Set_Oinsert @ SV793 @ SV1206 @ SV1454 ) @ ( tc_fun @ SV1454 @ tc_bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3931]) ).
thf(4167,plain,
! [SV1207: $i,SV794: $i,SV1455: $i,SV280: $i] :
( ( ( ~ ( c_lessequals @ SV280 @ ( c_Set_Oinsert @ SV1455 @ SV794 @ SV1207 ) @ ( tc_fun @ SV1207 @ tc_bool ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1455 @ SV280 @ SV1207 ) )
= $true )
| ( ( c_lessequals @ SV280 @ SV794 @ ( tc_fun @ SV1207 @ tc_bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3932]) ).
thf(4168,plain,
! [SV281: $i,SV1208: $i,SV1456: $i,SV795: $i] :
( ( ( c_lessequals @ SV795 @ SV1456 @ ( tc_fun @ SV1208 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ ( c_Set_Oinsert @ SV281 @ SV795 @ SV1208 ) @ ( c_Set_Oinsert @ SV281 @ SV1456 @ SV1208 ) @ ( tc_fun @ SV1208 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3933]) ).
thf(4169,plain,
! [SV1458: $i,SV285: $i,SV799: $i,SV1212: $i] :
( ( ( SV1212 = SV799 )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV1212 @ SV285 @ SV1458 ) @ SV799 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV285 @ SV799 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3935]) ).
thf(4170,plain,
! [SV801: $i,SV1459: $i,SV1214: $i,SV287: $i] :
( ( ( c_lessequals @ SV287 @ SV1214 @ ( tc_fun @ SV1459 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV287 @ ( c_Set_Oinsert @ SV801 @ SV1214 @ SV1459 ) @ ( tc_fun @ SV1459 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3936]) ).
thf(4171,plain,
! [SV802: $i,SV1215: $i,SV288: $i,SV1460: $i] :
( ( ( c_lessequals @ ( c_Set_Oinsert @ SV1460 @ SV288 @ SV1215 ) @ SV802 @ ( tc_fun @ SV1215 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV288 @ SV802 @ ( tc_fun @ SV1215 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3937]) ).
thf(4172,plain,
! [SV1217: $i,SV290: $i,SV1462: $i,SV804: $i] :
( ( ( hBOOL @ ( hAPP @ SV804 @ SV1462 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV290 @ SV804 @ SV1217 ) @ SV1462 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3938]) ).
thf(4173,plain,
! [SV806: $i,SV1464: $i,SV1219: $i,SV292: $i] :
( ( ( hBOOL @ ( c_in @ SV292 @ SV1219 @ SV1464 ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV292 @ ( c_Set_Oinsert @ SV806 @ SV1219 @ SV1464 ) @ SV1464 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3940]) ).
thf(4174,plain,
! [SV807: $i,SV1465: $i,SV1220: $i,SV293: $i] :
( ( ( hBOOL @ ( c_in @ SV293 @ SV1220 @ SV1465 ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV293 @ ( c_Set_Oinsert @ SV807 @ SV1220 @ SV1465 ) @ SV1465 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3941]) ).
thf(4175,plain,
! [SV1221: $i,SV808: $i,SV1466: $i,SV294: $i] :
( ( ( SV294 = SV1466 )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV294 @ ( c_Set_Oinsert @ SV1466 @ SV808 @ SV1221 ) @ SV1221 ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV294 @ SV808 @ SV1221 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3942]) ).
thf(4176,plain,
! [SV814: $i,SV1226: $i,SV300: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV300 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV1226 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV814 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ SV1226 @ ( 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 @ SV814 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( SV300 = SV1226 )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV300 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV814 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3945]) ).
thf(4177,plain,
! [SV815: $i,SV1227: $i,SV301: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV301 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1227 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( ( hBOOL @ ( c_in @ SV815 @ ( 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 @ SV1227 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV301 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV815 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1227 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3946]) ).
thf(4178,plain,
! [SV1618: $i,SV1569: $i,SV1467: $i,SV1228: $i,SV816: $i,SV302: $i] :
( ( ! [SY3916: $i] :
( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV302 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV816 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV816 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SV1228 @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ SV1467 @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SV1569 @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1 @ SV302 @ SV1569 @ SV816 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV302 ) ) ) ) @ ( c_List_Oset @ SV816 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1467 @ ( c_Message_Omsg_OCrypt @ SV1618 @ ( c_Message_Omsg_OMPair @ SV1569 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1228 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV302 ) @ SY3916 ) ) ) ) ) @ ( c_List_Oset @ SV816 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3947]) ).
thf(4179,plain,
! [SV1570: $i,SV1468: $i,SV1229: $i,SV817: $i,SV303: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV817 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SV1229 @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1 @ SV303 @ SV1229 @ SV817 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) ) ) ) @ ( c_List_Oset @ SV817 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV817 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SV1468 @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ SV1570 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1570 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1570 ) @ ( c_Message_Omsg_OMPair @ SV1229 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1468 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1468 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) @ ( c_Message_Omsg_OAgent @ SV1570 ) ) ) ) ) ) ) ) @ ( c_List_Oset @ SV817 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3948]) ).
thf(4180,plain,
! [SV304: $i,SV818: $i] :
( ( ( hBOOL @ ( c_in @ SV818 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV304 @ c_Event_Obad @ tc_Message_Oagent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV304 ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV818 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3949]) ).
thf(4181,plain,
! [SV1619: $i,SV1571: $i,SV1469: $i,SV1231: $i,SV820: $i,SV306: $i] :
( ( ! [SY3917: $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 @ SV306 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV820 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV1231 ) ) ) ) @ SV1469 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1571 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1571 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV306 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1619 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1231 ) @ SY3917 ) ) ) ) ) @ ( c_List_Oset @ SV1469 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1619 @ SV1571 @ ( c_Message_Omsg_OCrypt @ SV1231 @ ( c_Message_Omsg_ONonce @ SV820 ) ) ) @ ( c_List_Oset @ SV1469 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1469 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3950]) ).
thf(4182,plain,
! [SV821: $i,SV307: $i,SV1470: $i,SV1232: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1232 ) @ ( c_Event_Oused @ SV1470 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1470 ) ) )
= $true )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV307 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV307 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV821 ) @ ( c_Message_Omsg_ONonce @ SV1232 ) ) ) ) @ SV1470 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3951]) ).
thf(4183,plain,
! [SV1620: $i,SV1572: $i,SV1471: $i,SV1233: $i,SV822: $i,SV308: $i] :
( ( ~ ( hBOOL @ ( c_in @ SV308 @ ( 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 @ SV822 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SV1233 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1233 ) @ ( c_Message_Omsg_OMPair @ SV1471 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1572 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV308 ) @ SV1620 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV822 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3952]) ).
thf(4184,plain,
! [SV824: $i,SV310: $i,SV1235: $i] :
( ( ( hBOOL @ ( c_in @ SV1235 @ c_Event_Obad @ tc_Message_Oagent ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1235 ) @ SV310 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV824 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV310 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV824 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3953]) ).
thf(4185,plain,
! [SV1472: $i,SV1236: $i,SV828: $i,SV314: $i] :
( ( ( hBOOL @ ( c_in @ SV314 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV828 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV314 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OGets @ SV1236 @ SV1472 ) @ SV828 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3954]) ).
thf(4186,plain,
! [SV1473: $i,SV1237: $i,SV829: $i,SV315: $i] :
( ( ( hBOOL @ ( c_in @ SV315 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV829 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV315 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ SV1237 @ SV1473 ) @ SV829 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3955]) ).
thf(4187,plain,
! [SV317: $i,SV830: $i,SV1238: $i] :
( ( ( c_lessequals @ SV1238 @ ( c_Message_Oanalz @ SV830 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV317 @ ( c_Message_Oanalz @ SV1238 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV317 @ ( c_Message_Oanalz @ SV830 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3956]) ).
thf(4188,plain,
! [SV318: $i,SV831: $i,SV1239: $i] :
( ( ( c_lessequals @ SV1239 @ ( c_Message_Oparts @ SV831 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV318 @ ( c_Message_Oparts @ SV1239 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV318 @ ( c_Message_Oparts @ SV831 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3957]) ).
thf(4189,plain,
! [SV1240: $i,SV832: $i,SV1474: $i,SV319: $i] :
( ( ( SV319 = SV1474 )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV319 @ ( c_List_Oset @ ( c_List_Olist_OCons @ SV1474 @ SV832 @ SV1240 ) @ SV1240 ) @ SV1240 ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV319 @ ( c_List_Oset @ SV832 @ SV1240 ) @ SV1240 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3958]) ).
thf(4190,plain,
! [SV833: $i,SV320: $i,SV1241: $i] :
( ( ( hBOOL @ ( c_in @ SV1241 @ c_Event_Obad @ tc_Message_Oagent ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SV1241 @ SV320 ) @ ( c_List_Oset @ SV833 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV320 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV833 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3959]) ).
thf(4191,plain,
! [SV1574: $i,SV1477: $i,SV1247: $i,SV847: $i,SV336: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ SV336 @ SV847 ) @ ( c_Set_Oimage @ SV336 @ SV1247 @ SV1477 @ SV1574 ) @ SV1574 ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV847 @ SV1247 @ SV1477 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3961]) ).
thf(4192,plain,
! [SV1575: $i,SV1478: $i,SV1248: $i,SV848: $i,SV337: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ SV337 @ SV848 ) @ ( c_Set_Oimage @ SV337 @ SV1248 @ SV1478 @ SV1575 ) @ SV1575 ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV848 @ SV1248 @ SV1478 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3962]) ).
thf(4193,plain,
! [SV1576: $i,SV1479: $i,SV1249: $i,SV849: $i,SV338: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV338 @ SV849 @ SV1249 ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ SV1479 @ SV338 ) @ ( c_Set_Oimage @ SV1479 @ SV849 @ SV1249 @ SV1576 ) @ SV1576 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3963]) ).
thf(4194,plain,
! [SV1577: $i,SV1480: $i,SV1250: $i,SV850: $i,SV339: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV339 @ SV850 @ SV1250 ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ SV1480 @ SV339 ) @ ( c_Set_Oimage @ SV1480 @ SV850 @ SV1250 @ SV1577 ) @ SV1577 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3964]) ).
thf(4195,plain,
! [SV852: $i,SV1251: $i,SV1481: $i,SV341: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV341 @ SV1481 @ SV1251 ) ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1481 @ SV852 @ ( tc_fun @ SV1251 @ tc_bool ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV341 @ SV852 @ SV1251 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3965]) ).
thf(4196,plain,
! [SV853: $i,SV1252: $i,SV1482: $i,SV342: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV342 @ SV1482 @ SV1252 ) ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1482 @ SV853 @ ( tc_fun @ SV1252 @ tc_bool ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV342 @ SV853 @ SV1252 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3966]) ).
thf(4197,plain,
! [SV343: $i,SV1253: $i,SV854: $i,SV1483: $i] :
( ( ( ~ ( c_lessequals @ SV1483 @ SV854 @ ( tc_fun @ SV1253 @ tc_bool ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV343 @ SV1483 @ SV1253 ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV343 @ SV854 @ SV1253 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3967]) ).
thf(4198,plain,
! [SV855: $i,SV1254: $i,SV1484: $i,SV344: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV344 @ SV1484 @ SV1254 ) ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1484 @ SV855 @ ( tc_fun @ SV1254 @ tc_bool ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV344 @ SV855 @ SV1254 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3968]) ).
thf(4199,plain,
! [SV1578: $i,SV1485: $i,SV1255: $i,SV856: $i,SV345: $i] :
( ( ( ~ ( class_HOL_Oord @ SV345 ) )
= $true )
| ( ( ( c_lessequals @ ( hAPP @ SV856 @ SV1255 ) @ ( hAPP @ SV1485 @ SV1255 ) @ SV345 )
| ~ ( c_lessequals @ SV856 @ SV1485 @ ( tc_fun @ SV1578 @ SV345 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3969]) ).
thf(4200,plain,
! [SV1621: $i,SV1579: $i,SV1488: $i,SV1260: $i,SV861: $i,SV350: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ SV350 @ SV861 ) @ SV1260 @ SV1488 ) )
| ~ ( hBOOL @ ( c_in @ SV861 @ SV1579 @ SV1621 ) )
| ~ ( c_lessequals @ ( c_Set_Oimage @ SV350 @ SV1579 @ SV1621 @ SV1488 ) @ SV1260 @ ( tc_fun @ SV1488 @ tc_bool ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3970]) ).
thf(4201,plain,
! [SV1489: $i,SV862: $i,SV1261: $i,SV351: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV351 ) @ SV1261 ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV862 ) @ SV1489 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
= $false )
| ( ( SV351 = SV862 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3971]) ).
thf(4202,plain,
! [SV863: $i,SV1490: $i,SV352: $i,SV1262: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ ( c_Public_OpublicKey @ SV1262 ) @ SV352 ) @ ( c_Set_Oimage @ ( c_Public_OpublicKey @ SV1490 ) @ SV863 @ tc_Message_Oagent @ tc_nat ) @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV352 @ SV863 @ tc_Message_Oagent ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3972]) ).
thf(4203,plain,
! [SV1264: $i,SV355: $i,SV866: $i] :
( ( ( c_lessequals @ SV866 @ SV355 @ ( tc_fun @ SV1264 @ tc_bool ) )
= $false )
| ( ( ~ ( c_lessequals @ SV355 @ SV866 @ ( tc_fun @ SV1264 @ tc_bool ) ) )
= $true )
| ( ( SV355 = SV866 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3974]) ).
thf(4204,plain,
! [SV1265: $i,SV356: $i,SV867: $i] :
( ( ( c_lessequals @ SV867 @ SV356 @ ( tc_fun @ SV1265 @ tc_bool ) )
= $false )
| ( ( ~ ( c_lessequals @ SV356 @ SV867 @ ( tc_fun @ SV1265 @ tc_bool ) ) )
= $true )
| ( ( SV356 = SV867 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3975]) ).
thf(4205,plain,
! [SV357: $i,SV1266: $i,SV868: $i] :
( ( ( SV868 = SV1266 )
= $true )
| ( ( ~ ( c_lessequals @ SV1266 @ SV868 @ SV357 )
| ~ ( c_lessequals @ SV868 @ SV1266 @ SV357 ) )
= $true )
| ( ( class_Orderings_Oorder @ SV357 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3976]) ).
thf(4206,plain,
! [SV358: $i,SV1267: $i,SV869: $i] :
( ( ( SV869 = SV1267 )
= $true )
| ( ( ~ ( c_lessequals @ SV1267 @ SV869 @ SV358 )
| ~ ( c_lessequals @ SV869 @ SV1267 @ SV358 ) )
= $true )
| ( ( class_Orderings_Oorder @ SV358 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3977]) ).
thf(4207,plain,
! [SV359: $i,SV1268: $i,SV870: $i] :
( ( ( SV870 = SV1268 )
= $true )
| ( ( ~ ( c_lessequals @ SV870 @ SV1268 @ SV359 )
| ~ ( c_lessequals @ SV1268 @ SV870 @ SV359 ) )
= $true )
| ( ( class_Orderings_Oorder @ SV359 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3978]) ).
thf(4208,plain,
! [SV1491: $i,SV1271: $i,SV875: $i,SV364: $i] :
( ( ( class_Orderings_Oorder @ SV364 )
= $false )
| ( ( ( c_lessequals @ SV875 @ SV1271 @ SV364 )
| ~ ( c_lessequals @ SV875 @ SV1491 @ SV364 )
| ~ ( c_lessequals @ SV1491 @ SV1271 @ SV364 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3979]) ).
thf(4209,plain,
! [SV1492: $i,SV1272: $i,SV876: $i,SV365: $i] :
( ( ( class_Orderings_Opreorder @ SV365 )
= $false )
| ( ( ( c_lessequals @ SV876 @ SV1272 @ SV365 )
| ~ ( c_lessequals @ SV1492 @ SV1272 @ SV365 )
| ~ ( c_lessequals @ SV876 @ SV1492 @ SV365 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3980]) ).
thf(4210,plain,
! [SV368: $i,SV1273: $i,SV879: $i,SV1493: $i] :
( ( ( ~ ( c_lessequals @ SV1493 @ SV879 @ ( tc_fun @ SV1273 @ tc_bool ) ) )
= $true )
| ( ( ~ ( c_lessequals @ SV368 @ SV1493 @ ( tc_fun @ SV1273 @ tc_bool ) ) )
= $true )
| ( ( c_lessequals @ SV368 @ SV879 @ ( tc_fun @ SV1273 @ tc_bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3981]) ).
thf(4211,plain,
! [SV1494: $i,SV369: $i,SV880: $i,SV1274: $i] :
( ( ( ~ ( hBOOL @ ( hAPP @ SV1274 @ SV880 ) ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1274 @ SV369 @ ( tc_fun @ SV1494 @ tc_bool ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV369 @ SV880 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3982]) ).
thf(4212,plain,
! [SV883: $i,SV1495: $i,SV372: $i,SV1275: $i] :
( ( ( ~ ( c_lessequals @ SV1275 @ SV372 @ ( tc_fun @ SV1495 @ tc_bool ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( hAPP @ SV1275 @ SV883 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV372 @ SV883 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3983]) ).
thf(4213,plain,
! [SV1580: $i,SV1497: $i,SV1278: $i,SV886: $i,SV375: $i] :
( ( ( c_lessequals @ ( c_Set_Oimage @ SV375 @ SV886 @ SV1278 @ SV1497 ) @ ( c_Set_Oimage @ SV375 @ SV1580 @ SV1278 @ SV1497 ) @ ( tc_fun @ SV1497 @ tc_bool ) )
= $true )
| ( ( ~ ( c_lessequals @ SV886 @ SV1580 @ ( tc_fun @ SV1278 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3984]) ).
thf(4214,plain,
! [SV1581: $i,SV1498: $i,SV1279: $i,SV887: $i,SV376: $i] :
( ( ( ~ ( c_lessequals @ SV376 @ SV887 @ ( tc_fun @ SV1279 @ tc_bool ) ) )
= $true )
| ( ( c_lessequals @ ( c_Set_Oimage @ SV1498 @ SV376 @ SV1279 @ SV1581 ) @ ( c_Set_Oimage @ SV1498 @ SV887 @ SV1279 @ SV1581 ) @ ( tc_fun @ SV1581 @ tc_bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3985]) ).
thf(4215,plain,
! [SV378: $i,SV1281: $i,SV889: $i] :
( ( ( c_lessequals @ SV889 @ SV1281 @ SV378 )
= $true )
| ( ( c_lessequals @ SV1281 @ SV889 @ SV378 )
= $true )
| ( ( class_Orderings_Olinorder @ SV378 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[3986]) ).
thf(4216,plain,
! [SV379: $i,SV890: $i] :
( ( ( hBOOL @ ( c_in @ SV890 @ 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 @ SV379 ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV890 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV379 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3987]) ).
thf(4217,plain,
! [SV380: $i,SV891: $i] :
( ( ( hBOOL @ ( c_in @ SV891 @ 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 @ SV380 ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV891 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV380 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3988]) ).
thf(4218,plain,
! [SV381: $i,SV892: $i] :
( ( ( hBOOL @ ( c_in @ SV892 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV381 @ c_Event_Obad @ tc_Message_Oagent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV381 ) ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV892 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3989]) ).
thf(4219,plain,
! [SV893: $i,SV1282: $i,SV383: $i] :
( ( ( hBOOL @ ( c_in @ SV383 @ c_Message_OsymKeys @ tc_nat ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV383 @ SV1282 ) @ SV893 @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV383 @ ( c_Message_OkeysFor @ SV893 ) @ tc_nat ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3990]) ).
thf(4220,plain,
! [SV1582: $i,SV1499: $i,SV1286: $i,SV897: $i,SV387: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV387 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV897 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV387 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV1286 @ SV1499 @ SV1582 ) @ SV897 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3993]) ).
thf(4221,plain,
! [SV1622: $i,SV1583: $i,SV1500: $i,SV1287: $i,SV898: $i,SV388: $i] :
( ( ! [SY3918: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV388 @ SV898 @ SV1287 ) @ SV1500 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV388 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV388 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV898 ) @ ( c_Message_Omsg_ONonce @ SV1583 ) ) ) ) @ ( c_List_Oset @ SV1500 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1622 @ SV388 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV388 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1583 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV898 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3918 ) @ SV1287 ) ) ) ) ) @ ( c_List_Oset @ SV1500 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV388 = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1500 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3994]) ).
thf(4222,plain,
! [SV389: $i,SV1288: $i,SV899: $i,SV1501: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV1501 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ SV899 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV899 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1288 ) @ ( c_Message_Omsg_OAgent @ SV389 ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1501 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV389 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV389 ) @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1 @ SV389 @ SV899 @ SV1288 @ SV1501 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV899 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1288 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV899 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1288 ) @ ( c_Message_Omsg_OAgent @ SV389 ) ) ) ) ) ) ) ) @ ( c_List_Oset @ SV1501 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[3995]) ).
thf(4223,plain,
! [SV1289: $i,SV390: $i,SV900: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OGets @ SV900 @ SV390 ) @ ( c_List_Oset @ SV1289 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( SV900 = c_Message_Oagent_OSpy )
= $true )
| ( ( hBOOL @ ( c_in @ SV390 @ ( c_Event_Oknows @ SV900 @ SV1289 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[3996]) ).
thf(4224,plain,
! [SV1623: $i,SV1584: $i,SV1502: $i,SV1290: $i,SV901: $i,SV391: $i] :
( ( ( SV391
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV901 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1290 ) @ ( c_Message_Omsg_OAgent @ SV1502 ) ) ) )
| ~ ( hBOOL @ ( c_in @ SV1584 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SV1502 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1502 ) @ ( c_Message_Omsg_OMPair @ SV1623 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV901 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1290 ) @ SV391 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1584 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3997]) ).
thf(4225,plain,
! [SV1624: $i,SV1585: $i,SV1503: $i,SV1291: $i,SV902: $i,SV392: $i] :
( ( ! [SY3919: $i,SY3920: $i,SY3921: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV392 @ SV902 @ ( c_Message_Omsg_OCrypt @ SV1291 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1503 ) @ ( c_Message_Omsg_ONonce @ SV1503 ) ) ) ) @ SV1585 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1624 @ SV392 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV392 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3919 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV902 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1291 ) @ SY3920 ) ) ) ) ) @ ( c_List_Oset @ SV1585 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3921 @ SV392 @ ( c_Message_Omsg_OCrypt @ SV1291 @ ( c_Message_Omsg_ONonce @ SV1503 ) ) ) @ ( c_List_Oset @ SV1585 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1291 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1585 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3998]) ).
thf(4226,plain,
! [SV1625: $i,SV1586: $i,SV1504: $i,SV1292: $i,SV903: $i,SV393: $i] :
( ( ! [SY3922: $i] :
( ~ ( hBOOL @ ( c_in @ SV393 @ ( 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 @ SV903 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1292 @ ( c_Message_Omsg_OCrypt @ SV1504 @ ( c_Message_Omsg_OMPair @ SV1586 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1625 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV393 ) @ SY3922 ) ) ) ) ) @ ( c_List_Oset @ SV903 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[3999]) ).
thf(4227,plain,
! [SV1626: $i,SV1587: $i,SV1505: $i,SV1293: $i,SV904: $i,SV394: $i] :
( ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV394 @ SV904 @ ( c_Message_Omsg_OCrypt @ SV1293 @ ( c_Message_Omsg_ONonce @ SV1505 ) ) ) @ SV1587 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1626 @ SV394 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV394 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1293 ) @ ( c_Message_Omsg_OAgent @ SV904 ) ) ) ) @ ( c_List_Oset @ SV1587 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1293 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1505 ) @ ( c_Event_Oused @ SV1587 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1587 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4000]) ).
thf(4228,plain,
! [SV1627: $i,SV1588: $i,SV1506: $i,SV1294: $i,SV905: $i,SV395: $i] :
( ( ! [SY3923: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV395 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV905 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV1294 ) ) ) ) @ SV1506 @ 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 @ SV1588 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1588 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV395 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1627 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1294 ) @ SY3923 ) ) ) ) ) @ ( c_List_Oset @ SV1506 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1627 @ SV1588 @ ( c_Message_Omsg_OCrypt @ SV1294 @ ( c_Message_Omsg_ONonce @ SV905 ) ) ) @ ( c_List_Oset @ SV1506 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1506 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4001]) ).
thf(4229,plain,
! [SV1628: $i,SV1589: $i,SV1507: $i,SV1295: $i,SV906: $i,SV396: $i] :
( ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV396 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV396 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV906 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1295 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1507 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1295 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1507 ) @ ( c_Message_Omsg_OAgent @ SV396 ) ) ) ) ) ) ) ) @ SV1589 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1628 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV396 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1295 ) @ ( c_Message_Omsg_ONonce @ SV906 ) ) ) ) @ ( c_List_Oset @ SV1589 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1507 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1507 ) @ ( c_Event_Oused @ SV1589 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1589 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4002]) ).
thf(4230,plain,
! [SV1629: $i,SV1590: $i,SV1508: $i,SV1296: $i,SV907: $i,SV397: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV397 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV397 ) @ ( c_Message_Omsg_OMPair @ SV907 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1296 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1508 ) @ SV1590 ) ) ) ) ) @ ( c_List_Oset @ SV1629 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1629 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SV397 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV397 ) @ ( c_Message_Omsg_OMPair @ SV907 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1296 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1508 ) @ SV1590 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1629 ) ) @ tc_Message_Omsg ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4003]) ).
thf(4231,plain,
! [SV1630: $i,SV1591: $i,SV1509: $i,SV1297: $i,SV908: $i,SV398: $i] :
( ( ! [SY3924: $i] :
( ( hBOOL @ ( c_in @ SV398 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV908 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1297 @ ( 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 @ SV908 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1509 @ SV1591 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1591 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1630 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3924 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1297 ) @ SV398 ) ) ) ) ) @ ( c_List_Oset @ SV908 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4004]) ).
thf(4232,plain,
! [SV909: $i,SV399: $i,SV1510: $i,SV1298: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1298 ) @ ( 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 @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV399 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV399 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV909 ) @ ( c_Message_Omsg_ONonce @ SV1298 ) ) ) ) @ SV1510 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4005]) ).
thf(4233,plain,
! [SV400: $i,SV910: $i] :
( ( ( hBOOL @ ( c_in @ SV910 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV400 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV400 ) @ ( c_Event_Oused @ SV910 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV400 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV910 ) ) ) @ tc_nat ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4006]) ).
thf(4234,plain,
! [SV1631: $i,SV1592: $i,SV1511: $i,SV1299: $i,SV911: $i,SV401: $i] :
( ( ! [SY3925: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV401 @ SV911 @ SV1299 ) @ SV1511 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV401 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV401 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV911 ) @ ( c_Message_Omsg_ONonce @ SV1592 ) ) ) ) @ ( c_List_Oset @ SV1511 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1631 @ SV401 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV401 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1592 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV911 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3925 ) @ SV1299 ) ) ) ) ) @ ( c_List_Oset @ SV1511 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV401 = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_in @ SV1511 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4007]) ).
thf(4235,plain,
! [SV1632: $i,SV1593: $i,SV1512: $i,SV1300: $i,SV912: $i,SV402: $i] :
( ( ! [SY3926: $i,SY3927: $i,SY3928: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV402 @ SV912 @ ( c_Message_Omsg_OCrypt @ SV1300 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1512 ) @ ( c_Message_Omsg_ONonce @ SV1512 ) ) ) ) @ SV1593 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1632 @ SV402 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV402 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3926 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV912 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1300 ) @ SY3927 ) ) ) ) ) @ ( c_List_Oset @ SV1593 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3928 @ SV402 @ ( c_Message_Omsg_OCrypt @ SV1300 @ ( c_Message_Omsg_ONonce @ SV1512 ) ) ) @ ( c_List_Oset @ SV1593 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1300 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV1593 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4008]) ).
thf(4236,plain,
! [SV1633: $i,SV1594: $i,SV1513: $i,SV1301: $i,SV913: $i,SV403: $i] :
( ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV403 @ SV913 @ ( c_Message_Omsg_OCrypt @ SV1301 @ ( c_Message_Omsg_ONonce @ SV1513 ) ) ) @ SV1594 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1633 @ SV403 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV403 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1301 ) @ ( c_Message_Omsg_OAgent @ SV913 ) ) ) ) @ ( c_List_Oset @ SV1594 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1301 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1513 ) @ ( c_Event_Oused @ SV1594 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1594 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4009]) ).
thf(4237,plain,
! [SV1634: $i,SV1595: $i,SV1514: $i,SV1302: $i,SV914: $i,SV404: $i] :
( ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV404 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV404 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV914 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1302 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1514 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1302 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1514 ) @ ( c_Message_Omsg_OAgent @ SV404 ) ) ) ) ) ) ) ) @ SV1595 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1634 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV404 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1302 ) @ ( c_Message_Omsg_ONonce @ SV914 ) ) ) ) @ ( c_List_Oset @ SV1595 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1514 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1514 ) @ ( c_Event_Oused @ SV1595 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1595 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4010]) ).
thf(4238,plain,
! [SV1303: $i,SV407: $i,SV1515: $i,SV915: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV915 @ SV1515 @ SV407 ) @ ( c_List_Oset @ SV1303 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV407 @ ( c_Event_Oknows @ SV915 @ SV1303 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4011]) ).
thf(4239,plain,
! [SV415: $i,SV922: $i,SV1310: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1310 ) @ ( c_Message_Oanalz @ SV922 ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV1310 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1310 @ SV415 ) @ ( c_Message_Oanalz @ SV922 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV415 @ ( c_Message_Oanalz @ SV922 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4018]) ).
thf(4240,plain,
! [SV925: $i,SV418: $i,SV1516: $i,SV1311: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1311 @ SV1516 @ SV418 ) @ ( c_List_Oset @ SV925 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV418 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV925 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4019]) ).
thf(4241,plain,
! [SV926: $i,SV419: $i,SV1517: $i,SV1312: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1312 @ SV1517 @ SV419 ) @ ( c_List_Oset @ SV926 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV419 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV926 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4020]) ).
thf(4242,plain,
! [SV1635: $i,SV1596: $i,SV1518: $i,SV1313: $i,SV928: $i,SV421: $i] :
( ( ! [SY3929: $i,SY3930: $i] :
( ( hBOOL @ ( c_in @ SV421 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV928 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1313 @ SV1518 @ ( c_Message_Omsg_OCrypt @ SV1596 @ ( c_Message_Omsg_OMPair @ SV1635 @ ( c_Message_Omsg_OMPair @ SY3929 @ ( c_Message_Omsg_OMPair @ SY3930 @ SV421 ) ) ) ) ) @ ( c_List_Oset @ SV928 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4021]) ).
thf(4243,plain,
! [SV1636: $i,SV1597: $i,SV1519: $i,SV1314: $i,SV929: $i,SV424: $i] :
( ( ! [SY3931: $i] :
( ( SV424
= ( hAPP @ c_Public_OshrK @ SV929 ) )
| ~ ( hBOOL @ ( c_in @ SV1314 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV929 @ ( c_Message_Omsg_OCrypt @ SV424 @ ( c_Message_Omsg_OMPair @ SV1519 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1597 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1636 ) @ SY3931 ) ) ) ) ) @ ( c_List_Oset @ SV1314 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4022]) ).
thf(4244,plain,
! [SV426: $i,SV931: $i,SV1316: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV1316 ) ) @ ( c_Message_Oanalz @ SV931 ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1316 ) @ SV426 ) @ ( c_Message_Oanalz @ SV931 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV426 @ ( c_Message_Oanalz @ SV931 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4024]) ).
thf(4245,plain,
! [SV932: $i,SV427: $i,SV1520: $i,SV1317: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1317 @ SV1520 @ SV427 ) @ ( c_List_Oset @ SV932 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV427 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV932 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4025]) ).
thf(4246,plain,
! [SV1637: $i,SV1598: $i,SV1521: $i,SV1318: $i,SV934: $i,SV429: $i] :
( ( ! [SY3932: $i,SY3933: $i,SY3934: $i,SY3935: $i] :
( ( SV429 = SV934 )
| ~ ( hBOOL @ ( c_in @ SV1318 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV934 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV934 ) @ ( c_Message_Omsg_OMPair @ SV1521 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1598 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1637 ) @ SY3932 ) ) ) ) ) @ ( c_List_Oset @ SV1318 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV429 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV429 ) @ ( c_Message_Omsg_OMPair @ SY3933 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3934 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1637 ) @ SY3935 ) ) ) ) ) @ ( c_List_Oset @ SV1318 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4026]) ).
thf(4247,plain,
! [SV1638: $i,SV1599: $i,SV1522: $i,SV1319: $i,SV935: $i,SV430: $i] :
( ( ! [SY3936: $i,SY3937: $i,SY3938: $i,SY3939: $i] :
( ( SV430 = SV935 )
| ~ ( hBOOL @ ( c_in @ SV1319 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1522 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1522 ) @ ( c_Message_Omsg_OMPair @ SV935 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1599 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1638 ) @ SY3936 ) ) ) ) ) @ ( c_List_Oset @ SV1319 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3937 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3937 ) @ ( c_Message_Omsg_OMPair @ SV430 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3938 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1638 ) @ SY3939 ) ) ) ) ) @ ( c_List_Oset @ SV1319 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4027]) ).
thf(4248,plain,
! [SV1639: $i,SV1600: $i,SV1523: $i,SV1320: $i,SV936: $i,SV431: $i] :
( ( ! [SY3940: $i,SY3941: $i,SY3942: $i,SY3943: $i] :
( ( SV431 = SV936 )
| ~ ( hBOOL @ ( c_in @ SV1320 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1523 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1523 ) @ ( c_Message_Omsg_OMPair @ SV1600 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV936 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1639 ) @ SY3940 ) ) ) ) ) @ ( c_List_Oset @ SV1320 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3941 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3941 ) @ ( c_Message_Omsg_OMPair @ SY3942 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV431 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1639 ) @ SY3943 ) ) ) ) ) @ ( c_List_Oset @ SV1320 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4028]) ).
thf(4249,plain,
! [SV1640: $i,SV1601: $i,SV1524: $i,SV1321: $i,SV937: $i,SV432: $i] :
( ( ! [SY3944: $i,SY3945: $i,SY3946: $i,SY3947: $i] :
( ( SV432 = SV937 )
| ~ ( hBOOL @ ( c_in @ SV1321 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1524 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1524 ) @ ( c_Message_Omsg_OMPair @ SV1601 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1640 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3944 ) @ SV937 ) ) ) ) ) @ ( c_List_Oset @ SV1321 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3945 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3945 ) @ ( c_Message_Omsg_OMPair @ SY3946 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3947 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SY3944 ) @ SV432 ) ) ) ) ) @ ( c_List_Oset @ SV1321 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4029]) ).
thf(4250,plain,
! [SV1641: $i,SV1602: $i,SV1525: $i,SV1322: $i,SV938: $i,SV433: $i] :
( ( ( hBOOL @ ( c_in @ SV433 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV938 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1322 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1322 ) @ ( c_Message_Omsg_OMPair @ SV1525 @ ( c_Message_Omsg_OMPair @ SV1602 @ ( c_Message_Omsg_OMPair @ SV433 @ SV1641 ) ) ) ) ) @ ( c_List_Oset @ SV938 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4030]) ).
thf(4251,plain,
! [SV939: $i,SV434: $i,SV1526: $i,SV1323: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1323 @ SV1526 @ SV434 ) @ ( c_List_Oset @ SV939 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV434 @ ( c_Event_Oused @ SV939 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4031]) ).
thf(4252,plain,
! [SV1642: $i,SV1603: $i,SV1527: $i,SV1326: $i,SV944: $i,SV439: $i] :
( ( ! [SY3948: $i] :
( ( hBOOL @ ( c_in @ SV439 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV944 ) ) @ tc_Message_Omsg ) )
| ( SV439
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1326 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1527 ) @ ( c_Message_Omsg_OAgent @ SV1603 ) ) ) )
| ~ ( hBOOL @ ( c_in @ SV944 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1642 @ SV1603 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1603 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SY3948 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1326 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1527 ) @ SV439 ) ) ) ) ) @ ( c_List_Oset @ SV944 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4034]) ).
thf(4253,plain,
! [SV1643: $i,SV1604: $i,SV1528: $i,SV1327: $i,SV945: $i,SV440: $i] :
( ( ! [SY3949: $i] :
( ( SV440
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV945 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1327 ) @ ( c_Message_Omsg_OAgent @ SV1528 ) ) ) )
| ~ ( hBOOL @ ( c_in @ SV1604 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1528 @ ( c_Message_Omsg_OCrypt @ SV1643 @ ( c_Message_Omsg_OMPair @ SY3949 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV945 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1327 ) @ SV440 ) ) ) ) ) @ ( c_List_Oset @ SV1604 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4035]) ).
thf(4254,plain,
! [SV1530: $i,SV1333: $i,SV970: $i,SV466: $i] :
( ( ( ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV466 @ tc_bool ) )
= ( c_Set_Oimage @ SV970 @ SV1333 @ SV1530 @ SV466 ) )
= $false )
| ( ( SV1333
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1530 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4038]) ).
thf(4255,plain,
! [SV1531: $i,SV1334: $i,SV971: $i,SV467: $i] :
( ( ( ( c_Message_Omsg_OMPair @ SV467 @ SV971 )
= ( c_Message_Omsg_OMPair @ SV1334 @ SV1531 ) )
= $false )
| ( ( SV467 = SV1334 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4039]) ).
thf(4256,plain,
! [SV1605: $i,SV1532: $i,SV1335: $i,SV973: $i,SV469: $i] :
( ( ( ( c_Set_Oinsert @ SV469 @ ( c_Set_Oinsert @ SV973 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1335 @ tc_bool ) ) @ SV1335 ) @ SV1335 )
!= ( c_Set_Oinsert @ SV1532 @ ( c_Set_Oinsert @ SV1605 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1335 @ tc_bool ) ) @ SV1335 ) @ SV1335 ) )
= $true )
| ( ( ( SV469 = SV1605 )
| ( SV469 = SV1532 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4040]) ).
thf(4257,plain,
! [SV1534: $i,SV1339: $i,SV977: $i,SV473: $i] :
( ( ( ( c_Event_Oevent_OGets @ SV473 @ SV977 )
= ( c_Event_Oevent_OGets @ SV1339 @ SV1534 ) )
= $false )
| ( ( SV473 = SV1339 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4043]) ).
thf(4258,plain,
! [SV1535: $i,SV1341: $i,SV981: $i,SV477: $i] :
( ( ( ( hAPP @ ( c_Public_OpublicKey @ SV477 ) @ SV981 )
= ( hAPP @ ( c_Public_OpublicKey @ SV1341 ) @ SV1535 ) )
= $false )
| ( ( SV477 = SV1341 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4044]) ).
thf(4259,plain,
! [SV1606: $i,SV1536: $i,SV1343: $i,SV983: $i,SV479: $i] :
( ( ( ( c_List_Olist_OCons @ SV479 @ SV983 @ SV1343 )
!= ( c_List_Olist_OCons @ SV1536 @ SV1606 @ SV1343 ) )
= $true )
| ( ( SV983 = SV1606 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4045]) ).
thf(4260,plain,
! [SV1607: $i,SV1537: $i,SV1345: $i,SV985: $i,SV481: $i] :
( ( ( c_Event_Oevent_ONotes @ SV481 @ SV985 )
= ( c_Event_Oevent_OSays @ SV1345 @ SV1537 @ SV1607 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4046]) ).
thf(4261,plain,
! [SV1540: $i,SV1353: $i,SV993: $i,SV489: $i] :
( ( ( ( c_Message_Omsg_OMPair @ SV489 @ SV993 )
= ( c_Message_Omsg_OMPair @ SV1353 @ SV1540 ) )
= $false )
| ( ( SV993 = SV1540 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4051]) ).
thf(4262,plain,
! [SV1541: $i,SV1354: $i,SV994: $i,SV490: $i] :
( ( ( ( c_Event_Oevent_ONotes @ SV490 @ SV994 )
= ( c_Event_Oevent_ONotes @ SV1354 @ SV1541 ) )
= $false )
| ( ( SV994 = SV1541 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4052]) ).
thf(4263,plain,
! [SV1542: $i,SV1355: $i,SV995: $i,SV491: $i] :
( ( ( ( c_Message_Omsg_OCrypt @ SV491 @ SV995 )
= ( c_Message_Omsg_OCrypt @ SV1355 @ SV1542 ) )
= $false )
| ( ( SV995 = SV1542 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4053]) ).
thf(4264,plain,
! [SV1543: $i,SV1356: $i,SV998: $i,SV495: $i] :
( ( ( ( c_Set_Oimage @ SV495 @ SV998 @ SV1356 @ SV1543 )
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1543 @ tc_bool ) ) )
= $false )
| ( ( SV998
= ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1356 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4054]) ).
thf(4265,plain,
! [SV1357: $i,SV496: $i,SV999: $i] :
( ( ( ( c_HOL_Ouminus__class_Ouminus @ SV999 @ SV496 )
!= ( c_HOL_Ouminus__class_Ouminus @ SV1357 @ SV496 ) )
= $true )
| ( ( SV999 = SV1357 )
= $true )
| ( ( class_Lattices_Oboolean__algebra @ SV496 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4055]) ).
thf(4266,plain,
! [SV1644: $i,SV1608: $i,SV1544: $i,SV1359: $i,SV1001: $i,SV499: $i] :
( ( ( ( c_Event_Oevent_OSays @ SV499 @ SV1001 @ SV1359 )
!= ( c_Event_Oevent_OSays @ SV1544 @ SV1608 @ SV1644 ) )
| ( SV1359 = SV1644 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4056]) ).
thf(4267,plain,
! [SV1545: $i,SV1360: $i,SV1002: $i,SV500: $i] :
( ( ( ( c_Message_Omsg_OCrypt @ SV500 @ SV1002 )
= ( c_Message_Omsg_OCrypt @ SV1360 @ SV1545 ) )
= $false )
| ( ( SV500 = SV1360 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4057]) ).
thf(4268,plain,
! [SV504: $i,SV1363: $i,SV1006: $i] :
( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV1006 @ SV1363 @ SV504 )
!= SV1363 )
= $true )
| ( ( c_lessequals @ SV1006 @ SV1363 @ SV504 )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV504 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4059]) ).
thf(4269,plain,
! [SV1609: $i,SV1547: $i,SV1364: $i,SV1007: $i,SV505: $i] :
( ( ( c_Event_Oevent_OSays @ SV505 @ SV1007 @ SV1364 )
= ( c_Event_Oevent_OGets @ SV1547 @ SV1609 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4060]) ).
thf(4270,plain,
! [SV1610: $i,SV1548: $i,SV1366: $i,SV1009: $i,SV507: $i] :
( ( ( c_Event_Oevent_OGets @ SV507 @ SV1009 )
= ( c_Event_Oevent_OSays @ SV1366 @ SV1548 @ SV1610 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4061]) ).
thf(4271,plain,
! [SV511: $i,SV1368: $i,SV1013: $i] :
( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV1013 @ SV1368 @ SV511 )
!= ( c_Orderings_Obot__class_Obot @ SV511 ) )
= $true )
| ( ( SV1013
= ( c_Orderings_Obot__class_Obot @ SV511 ) )
= $true )
| ( ( class_Lattices_Obounded__lattice @ SV511 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4062]) ).
thf(4272,plain,
! [SV1549: $i,SV1369: $i,SV1014: $i,SV513: $i] :
( ( ( ( c_Message_Oanalz @ SV513 )
= ( c_Message_Oanalz @ SV1014 ) )
= $false )
| ( ( ( ( c_Message_Oanalz @ SV1369 )
!= ( c_Message_Oanalz @ SV1549 ) )
| ( ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1369 @ SV513 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1549 @ SV1014 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4063]) ).
thf(4273,plain,
! [SV1550: $i,SV1374: $i,SV1019: $i,SV518: $i] :
( ( ( ( c_Set_Oinsert @ SV518 @ SV1019 @ SV1374 )
= ( c_Set_Oinsert @ SV518 @ SV1550 @ SV1374 ) )
= $false )
| ( ( ( hBOOL @ ( c_in @ SV518 @ SV1550 @ SV1374 ) )
| ( hBOOL @ ( c_in @ SV518 @ SV1019 @ SV1374 ) )
| ( SV1019 = SV1550 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4066]) ).
thf(4274,plain,
! [SV1645: $i,SV1611: $i,SV1552: $i,SV1378: $i,SV1023: $i,SV522: $i] :
( ( ( ( c_Event_Oevent_OSays @ SV522 @ SV1023 @ SV1378 )
!= ( c_Event_Oevent_OSays @ SV1552 @ SV1611 @ SV1645 ) )
| ( SV1023 = SV1611 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4069]) ).
thf(4275,plain,
! [SV1553: $i,SV1381: $i,SV1027: $i,SV526: $i] :
( ( ( ( hAPP @ ( c_Public_OpublicKey @ SV526 ) @ SV1027 )
= ( hAPP @ ( c_Public_OpublicKey @ SV1381 ) @ SV1553 ) )
= $false )
| ( ( SV1027 = SV1553 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4070]) ).
thf(4276,plain,
! [SV1383: $i,SV528: $i,SV1029: $i] :
( ( ( ( c_HOL_Ouminus__class_Ouminus @ SV1029 @ SV528 )
!= ( c_HOL_Ouminus__class_Ouminus @ SV1383 @ SV528 ) )
= $true )
| ( ( SV1029 = SV1383 )
= $true )
| ( ( class_OrderedGroup_Ogroup__add @ SV528 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4071]) ).
thf(4277,plain,
! [SV1554: $i,SV1384: $i,SV1030: $i,SV529: $i] :
( ( ( ( c_Event_Oevent_ONotes @ SV529 @ SV1030 )
= ( c_Event_Oevent_ONotes @ SV1384 @ SV1554 ) )
= $false )
| ( ( SV529 = SV1384 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4072]) ).
thf(4278,plain,
! [SV1612: $i,SV1555: $i,SV1385: $i,SV1031: $i,SV530: $i] :
( ( ( ( c_List_Olist_OCons @ SV530 @ SV1031 @ SV1385 )
!= ( c_List_Olist_OCons @ SV1555 @ SV1612 @ SV1385 ) )
= $true )
| ( ( SV530 = SV1555 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4073]) ).
thf(4279,plain,
! [SV1613: $i,SV1556: $i,SV1386: $i,SV1032: $i,SV531: $i] :
( ( ( c_Event_Oevent_OSays @ SV531 @ SV1032 @ SV1386 )
= ( c_Event_Oevent_ONotes @ SV1556 @ SV1613 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[4074]) ).
thf(4280,plain,
! [SV532: $i,SV1387: $i,SV1033: $i] :
( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV1033 @ SV1387 @ SV532 )
!= ( c_Orderings_Obot__class_Obot @ SV532 ) )
= $true )
| ( ( SV1387
= ( c_Orderings_Obot__class_Obot @ SV532 ) )
= $true )
| ( ( class_Lattices_Obounded__lattice @ SV532 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4075]) ).
thf(4281,plain,
! [SV1614: $i,SV1557: $i,SV1388: $i,SV1036: $i,SV535: $i] :
( ( ( ( c_Set_Oinsert @ SV535 @ ( c_Set_Oinsert @ SV1036 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1388 @ tc_bool ) ) @ SV1388 ) @ SV1388 )
!= ( c_Set_Oinsert @ SV1557 @ ( c_Set_Oinsert @ SV1614 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1388 @ tc_bool ) ) @ SV1388 ) @ SV1388 ) )
= $true )
| ( ( ( SV535 = SV1614 )
| ( SV1036 = SV1614 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4076]) ).
thf(4282,plain,
! [SV1615: $i,SV1558: $i,SV1389: $i,SV1037: $i,SV537: $i] :
( ( ( ( c_Set_Oinsert @ SV537 @ ( c_Set_Oinsert @ SV1037 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1389 @ tc_bool ) ) @ SV1389 ) @ SV1389 )
!= ( c_Set_Oinsert @ SV1558 @ ( c_Set_Oinsert @ SV1615 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1389 @ tc_bool ) ) @ SV1389 ) @ SV1389 ) )
= $true )
| ( ( ( SV1037 = SV1558 )
| ( SV537 = SV1558 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4077]) ).
thf(4283,plain,
! [SV1646: $i,SV1616: $i,SV1559: $i,SV1391: $i,SV1039: $i,SV539: $i] :
( ( ( ( c_Event_Oevent_OSays @ SV539 @ SV1039 @ SV1391 )
!= ( c_Event_Oevent_OSays @ SV1559 @ SV1616 @ SV1646 ) )
| ( SV539 = SV1559 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4078]) ).
thf(4284,plain,
! [SV1560: $i,SV1394: $i,SV1043: $i,SV543: $i] :
( ( ( ( c_Event_Oevent_OGets @ SV543 @ SV1043 )
= ( c_Event_Oevent_OGets @ SV1394 @ SV1560 ) )
= $false )
| ( ( SV1043 = SV1560 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4080]) ).
thf(4285,plain,
! [SV1617: $i,SV1561: $i,SV1395: $i,SV1044: $i,SV544: $i] :
( ( ( ( c_Set_Oinsert @ SV544 @ ( c_Set_Oinsert @ SV1044 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1395 @ tc_bool ) ) @ SV1395 ) @ SV1395 )
!= ( c_Set_Oinsert @ SV1561 @ ( c_Set_Oinsert @ SV1617 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1395 @ tc_bool ) ) @ SV1395 ) @ SV1395 ) )
= $true )
| ( ( ( SV1044 = SV1561 )
| ( SV1044 = SV1617 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4081]) ).
thf(4286,plain,
! [SV555: $i,SV10: $i,SV1053: $i] :
( ( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV1053 @ SV10 ) @ SV555 @ SV10 )
= $false )
| ( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV555 @ SV10 ) @ SV1053 @ SV10 )
= $true )
| ( ( class_OrderedGroup_Opordered__ab__group__add @ SV10 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4085]) ).
thf(4287,plain,
! [SV556: $i,SV11: $i,SV1054: $i] :
( ( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV1054 @ SV11 ) @ SV556 @ SV11 )
= $false )
| ( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV556 @ SV11 ) @ SV1054 @ SV11 )
= $true )
| ( ( class_OrderedGroup_Opordered__ab__group__add @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4086]) ).
thf(4288,plain,
! [SV12: $i,SV557: $i,SV1055: $i] :
( ( ( c_lessequals @ SV1055 @ ( c_HOL_Ouminus__class_Ouminus @ SV557 @ SV12 ) @ SV12 )
= $false )
| ( ( c_lessequals @ SV557 @ ( c_HOL_Ouminus__class_Ouminus @ SV1055 @ SV12 ) @ SV12 )
= $true )
| ( ( class_OrderedGroup_Opordered__ab__group__add @ SV12 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4087]) ).
thf(4289,plain,
! [SV13: $i,SV558: $i,SV1056: $i] :
( ( ( c_lessequals @ SV1056 @ ( c_HOL_Ouminus__class_Ouminus @ SV558 @ SV13 ) @ SV13 )
= $false )
| ( ( c_lessequals @ SV558 @ ( c_HOL_Ouminus__class_Ouminus @ SV1056 @ SV13 ) @ SV13 )
= $true )
| ( ( class_OrderedGroup_Opordered__ab__group__add @ SV13 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4088]) ).
thf(4290,plain,
! [SV570: $i,SV25: $i,SV1057: $i] :
( ( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV1057 @ SV25 ) @ ( c_HOL_Ouminus__class_Ouminus @ SV570 @ SV25 ) @ SV25 )
= $false )
| ( ( c_lessequals @ SV570 @ SV1057 @ SV25 )
= $true )
| ( ( class_OrderedGroup_Opordered__ab__group__add @ SV25 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4090]) ).
thf(4291,plain,
! [SV26: $i,SV571: $i,SV1058: $i] :
( ( ( c_lessequals @ SV1058 @ SV571 @ SV26 )
= $false )
| ( ( c_lessequals @ ( c_HOL_Ouminus__class_Ouminus @ SV571 @ SV26 ) @ ( c_HOL_Ouminus__class_Ouminus @ SV1058 @ SV26 ) @ SV26 )
= $true )
| ( ( class_OrderedGroup_Opordered__ab__group__add @ SV26 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4091]) ).
thf(4292,plain,
! [SV581: $i,SV1062: $i,SV43: $i] :
( ( ( hBOOL @ ( c_in @ SV43 @ ( c_Message_Osynth @ ( c_Set_Oinsert @ SV1062 @ SV581 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV1062 @ ( c_Message_Osynth @ SV581 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV43 @ ( c_Message_Osynth @ SV581 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4092]) ).
thf(4293,plain,
! [SV67: $i,SV1078: $i,SV1409: $i,SV601: $i] :
( ( ( c_lessequals @ SV601 @ SV1409 @ ( tc_fun @ SV1078 @ tc_bool ) )
= $false )
| ( ( ~ ( c_lessequals @ SV67 @ SV1409 @ ( tc_fun @ SV1078 @ tc_bool ) ) )
= $true )
| ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV67 @ SV601 @ ( tc_fun @ SV1078 @ tc_bool ) ) @ SV1409 @ ( tc_fun @ SV1078 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4097]) ).
thf(4294,plain,
! [SV70: $i,SV1081: $i,SV1410: $i,SV604: $i] :
( ( ( c_lessequals @ SV604 @ SV1410 @ ( tc_fun @ SV1081 @ tc_bool ) )
= $false )
| ( ( ~ ( c_lessequals @ SV70 @ SV1410 @ ( tc_fun @ SV1081 @ tc_bool ) ) )
= $true )
| ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV70 @ SV604 @ ( tc_fun @ SV1081 @ tc_bool ) ) @ SV1410 @ ( tc_fun @ SV1081 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4098]) ).
thf(4295,plain,
! [SV1411: $i,SV71: $i,SV1082: $i,SV605: $i] :
( ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV605 @ SV1082 @ SV71 ) @ SV1411 @ SV71 )
= $true )
| ( ( ~ ( c_lessequals @ SV1082 @ SV1411 @ SV71 )
| ~ ( c_lessequals @ SV605 @ SV1411 @ SV71 ) )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV71 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4099]) ).
thf(4296,plain,
! [SV1412: $i,SV74: $i,SV1085: $i,SV608: $i] :
( ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV608 @ SV1085 @ SV74 ) @ SV1412 @ SV74 )
= $true )
| ( ( ~ ( c_lessequals @ SV1085 @ SV1412 @ SV74 )
| ~ ( c_lessequals @ SV608 @ SV1412 @ SV74 ) )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV74 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4100]) ).
thf(4297,plain,
! [SV1413: $i,SV75: $i,SV1086: $i,SV609: $i] :
( ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV609 @ SV1086 @ SV75 ) @ SV1413 @ SV75 )
= $true )
| ( ( ~ ( c_lessequals @ SV1086 @ SV1413 @ SV75 )
| ~ ( c_lessequals @ SV609 @ SV1413 @ SV75 ) )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV75 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4101]) ).
thf(4298,plain,
! [SV1414: $i,SV78: $i,SV1089: $i,SV612: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV612 @ SV1089 @ SV78 ) @ SV78 )
= $true )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1414 @ ( c_List_Olist_OCons @ SV612 @ SV1089 @ SV78 ) @ SV78 ) @ SV78 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV78 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4102]) ).
thf(4299,plain,
! [SV79: $i,SV613: $i,SV1090: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1090 @ SV613 @ SV79 ) @ SV79 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ SV613 @ SV79 )
= $true )
| ( ( class_Orderings_Olinorder @ SV79 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4103]) ).
thf(4300,plain,
! [SV623: $i,SV1099: $i,SV91: $i] :
( ( ( hBOOL @ ( c_in @ SV91 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV1099 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV1099 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV623 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV91 @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV623 ) ) @ ( c_Message_Oparts @ SV623 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4104]) ).
thf(4301,plain,
! [SV1103: $i,SV630: $i,SV1417: $i,SV98: $i] :
( ( ( hBOOL @ ( c_in @ SV98 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1417 @ SV630 @ ( tc_fun @ SV1103 @ tc_bool ) ) @ SV1103 ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV98 @ SV1417 @ SV1103 ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV98 @ SV630 @ SV1103 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4107]) ).
thf(4302,plain,
! [SV634: $i,SV1105: $i,SV102: $i] :
( ( ( hBOOL @ ( c_in @ SV102 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV1105 @ SV634 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV1105 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV634 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV102 @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV634 ) ) @ ( c_Message_Oparts @ SV634 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4109]) ).
thf(4303,plain,
! [SV1106: $i,SV107: $i,SV638: $i,SV1418: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV1418 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV638 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV107 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV1418 @ SV1106 @ tc_Message_Omsg ) ) ) @ tc_nat ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV107 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1106 @ SV638 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) ) @ tc_nat ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV107 ) ) @ ( c_Message_Oparts @ SV638 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4110]) ).
thf(4304,plain,
! [SV644: $i,SV1111: $i,SV113: $i] :
( ( ( hBOOL @ ( c_in @ SV113 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1111 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV644 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1111 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV113 @ SV644 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1111 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4111]) ).
thf(4305,plain,
! [SV118: $i,SV1116: $i,SV649: $i] :
( ( ( ~ ( c_lessequals @ SV649 @ ( 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 @ SV1116 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV118 @ SV649 @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV118 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV649 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1116 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4114]) ).
thf(4306,plain,
! [SV650: $i,SV1117: $i,SV119: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV119 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV1117 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV650 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( c_lessequals @ SV1117 @ ( 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 @ SV650 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV119 @ SV1117 @ tc_nat ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV119 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV650 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4115]) ).
thf(4307,plain,
! [SV120: $i,SV1118: $i,SV651: $i] :
( ( ( ~ ( c_lessequals @ SV651 @ ( 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 @ SV1118 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV120 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1118 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV120 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV651 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1118 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4116]) ).
thf(4308,plain,
! [SV659: $i,SV1420: $i,SV128: $i,SV1119: $i] :
( ( ( hBOOL @ ( hAPP @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1119 @ SV128 @ ( tc_fun @ SV1420 @ tc_bool ) ) @ SV659 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV1119 @ SV659 ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV128 @ SV659 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4117]) ).
thf(4309,plain,
! [SV138: $i,SV669: $i,SV1123: $i] :
( ( ( c_lessequals @ SV1123 @ SV669 @ SV138 )
= $false )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV669 @ SV1123 @ SV138 )
= SV669 )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV138 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4120]) ).
thf(4310,plain,
! [SV139: $i,SV1124: $i,SV670: $i] :
( ( ( c_lessequals @ SV670 @ SV1124 @ SV139 )
= $false )
| ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV670 @ SV1124 @ SV139 )
= SV1124 )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV139 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4121]) ).
thf(4311,plain,
! [SV1424: $i,SV145: $i,SV1128: $i,SV1563: $i,SV675: $i] :
( ( ( ~ ( c_lessequals @ SV675 @ SV1563 @ ( tc_fun @ SV1128 @ tc_bool ) ) )
= $true )
| ( ( ~ ( c_lessequals @ SV145 @ SV1424 @ ( tc_fun @ SV1128 @ tc_bool ) ) )
= $true )
| ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV145 @ SV675 @ ( tc_fun @ SV1128 @ tc_bool ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1424 @ SV1563 @ ( tc_fun @ SV1128 @ tc_bool ) ) @ ( tc_fun @ SV1128 @ tc_bool ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4122]) ).
thf(4312,plain,
! [SV1425: $i,SV150: $i,SV1129: $i,SV676: $i] :
( ( ( c_lessequals @ SV676 @ SV1129 @ SV150 )
= $true )
| ( ( ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1425 @ SV676 @ SV150 ) @ SV1129 @ SV150 ) )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV150 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4123]) ).
thf(4313,plain,
! [SV1426: $i,SV151: $i,SV1130: $i,SV677: $i] :
( ( ( c_lessequals @ SV677 @ SV1130 @ SV151 )
= $true )
| ( ( ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV677 @ SV1426 @ SV151 ) @ SV1130 @ SV151 ) )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV151 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4124]) ).
thf(4314,plain,
! [SV152: $i,SV1427: $i,SV1131: $i,SV678: $i] :
( ( ( c_lessequals @ SV678 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1131 @ SV1427 @ SV152 ) @ SV152 )
= $true )
| ( ( ~ ( c_lessequals @ SV678 @ SV1427 @ SV152 ) )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV152 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4125]) ).
thf(4315,plain,
! [SV153: $i,SV1428: $i,SV1132: $i,SV679: $i] :
( ( ( c_lessequals @ SV679 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1132 @ SV1428 @ SV153 ) @ SV153 )
= $true )
| ( ( ~ ( c_lessequals @ SV679 @ SV1132 @ SV153 ) )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV153 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4126]) ).
thf(4316,plain,
! [SV1429: $i,SV154: $i,SV1133: $i,SV680: $i] :
( ( ( c_lessequals @ SV680 @ SV1133 @ SV154 )
= $true )
| ( ( ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1429 @ SV680 @ SV154 ) @ SV1133 @ SV154 ) )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV154 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4127]) ).
thf(4317,plain,
! [SV1430: $i,SV155: $i,SV1134: $i,SV681: $i] :
( ( ( c_lessequals @ SV681 @ SV1134 @ SV155 )
= $true )
| ( ( ~ ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV681 @ SV1430 @ SV155 ) @ SV1134 @ SV155 ) )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV155 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4128]) ).
thf(4318,plain,
! [SV688: $i,SV1139: $i,SV163: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV163 ) @ ( c_Message_Oanalz @ SV1139 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV163 ) @ ( c_Message_Oanalz @ SV1139 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV163 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV688 @ tc_nat @ tc_Message_Omsg ) @ SV1139 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4132]) ).
thf(4319,plain,
! [SV1434: $i,SV166: $i,SV1141: $i,SV691: $i] :
( ( ( c_lessequals @ SV691 @ SV1141 @ SV166 )
= $true )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV691 @ ( c_List_Olist_OCons @ SV1141 @ SV1434 @ SV166 ) @ SV166 ) @ SV166 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV166 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4134]) ).
thf(4320,plain,
! [SV167: $i,SV1435: $i,SV1142: $i,SV692: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV692 @ ( c_List_Olist_OCons @ SV1142 @ SV1435 @ SV167 ) @ SV167 ) @ SV167 )
= $true )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1142 @ SV1435 @ SV167 ) @ SV167 )
| ~ ( c_lessequals @ SV692 @ SV1142 @ SV167 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV167 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4135]) ).
thf(4321,plain,
! [SV695: $i,SV1145: $i,SV170: $i] :
( ( ( hBOOL @ ( c_in @ SV170 @ ( c_Message_Osynth @ SV1145 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV695 @ ( c_Message_Osynth @ SV1145 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OMPair @ SV170 @ SV695 ) @ ( c_Message_Osynth @ SV1145 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4138]) ).
thf(4322,plain,
! [SV178: $i,SV701: $i,SV1149: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV1149 ) ) @ ( c_Message_Oanalz @ SV701 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1149 ) @ ( c_Message_Oanalz @ SV701 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1149 @ SV178 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV701 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV178 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV701 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4141]) ).
thf(4323,plain,
! [SV702: $i,SV1150: $i,SV179: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV179 ) ) @ ( c_Message_Oanalz @ SV1150 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV179 ) @ ( c_Message_Oanalz @ SV1150 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV702 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1150 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV179 @ SV702 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1150 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4142]) ).
thf(4324,plain,
! [SV1151: $i,SV705: $i,SV183: $i] :
( ( ( hBOOL @ ( c_in @ SV183 @ SV705 @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV183 ) @ ( c_Message_Oanalz @ SV1151 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV183 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV705 @ tc_nat @ tc_Message_Omsg ) @ SV1151 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4143]) ).
thf(4325,plain,
! [SV706: $i,SV1152: $i,SV184: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV184 ) @ ( c_Message_Oanalz @ SV1152 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV184 @ SV706 @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV184 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV706 @ tc_nat @ tc_Message_Omsg ) @ SV1152 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4144]) ).
thf(4326,plain,
! [SV1154: $i,SV708: $i,SV186: $i] :
( ( ( hBOOL @ ( c_in @ SV186 @ SV708 @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV186 @ SV708 @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV186 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV708 @ tc_nat @ tc_Message_Omsg ) @ SV1154 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4146]) ).
thf(4327,plain,
! [SV712: $i,SV1155: $i,SV191: $i] :
( ( ( hBOOL @ ( c_in @ SV191 @ ( c_Message_Osynth @ SV1155 ) @ tc_Message_Omsg ) )
= $false )
| ( ( c_lessequals @ SV1155 @ ( c_Message_Osynth @ SV712 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV191 @ ( c_Message_Osynth @ SV712 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4147]) ).
thf(4328,plain,
! [SV1156: $i,SV196: $i,SV1436: $i,SV717: $i] :
( ( ( c_lessequals @ ( c_Message_Oanalz @ SV717 ) @ ( c_Message_Oanalz @ SV1436 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( ~ ( c_lessequals @ ( c_Message_Oanalz @ SV196 ) @ ( c_Message_Oanalz @ SV1156 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true )
| ( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV196 @ SV717 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1156 @ SV1436 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4148]) ).
thf(4329,plain,
! [SV203: $i,SV1158: $i,SV720: $i] :
( ( ( hBOOL @ ( c_in @ SV720 @ ( c_Message_Osynth @ SV1158 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV203 ) @ SV1158 @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV203 @ SV720 ) @ ( c_Message_Osynth @ SV1158 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4150]) ).
thf(4330,plain,
! [SV721: $i,SV204: $i,SV1159: $i,SV1437: $i] :
( ( ( hBOOL @ ( c_in @ SV1437 @ ( c_Message_Oparts @ SV1159 ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV204 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV1437 @ SV721 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV204 @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV721 @ SV1159 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4151]) ).
thf(4331,plain,
! [SV1439: $i,SV222: $i,SV1163: $i,SV736: $i] :
( ( ( c_lessequals @ SV736 @ SV1163 @ SV222 )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1163 @ ( c_List_Oset @ SV1439 @ SV222 ) @ SV222 ) )
| ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV736 @ SV1439 @ SV222 ) @ SV222 ) )
= $true )
| ( ( class_Orderings_Olinorder @ SV222 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4152]) ).
thf(4332,plain,
! [SV737: $i,SV223: $i,SV1164: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1164 @ SV223 ) @ ( c_Message_Oanalz @ SV737 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV1164 ) ) @ ( c_Message_Oanalz @ SV737 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV223 @ ( c_Message_Oanalz @ SV737 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4153]) ).
thf(4333,plain,
! [SV1168: $i,SV227: $i,SV741: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV741 @ ( c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1 @ SV741 @ SV227 @ SV1168 ) @ SV227 ) @ ( c_List_Oset @ SV1168 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( ( SV741 = c_Message_Oagent_OSpy )
| ~ ( hBOOL @ ( c_in @ SV227 @ ( c_Event_Oknows @ SV741 @ SV1168 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OGets @ SV741 @ SV227 ) @ ( c_List_Oset @ SV1168 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SV741 @ SV227 ) @ ( c_List_Oset @ SV1168 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV227 @ ( c_Event_OinitState @ SV741 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4154]) ).
thf(4334,plain,
! [SV745: $i,SV1440: $i,SV1172: $i,SV231: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV231 ) @ ( c_Message_Oanalz @ SV1172 ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( c_lessequals @ SV1440 @ SV1172 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV745 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1440 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV231 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV745 @ SV1172 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4155]) ).
thf(4335,plain,
! [SV1441: $i,SV746: $i,SV1173: $i,SV232: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV232 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV1173 @ SV746 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( c_lessequals @ SV1441 @ SV746 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
| ~ ( hBOOL @ ( c_in @ SV1173 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1441 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV232 ) @ ( c_Message_Oanalz @ SV746 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4156]) ).
thf(4336,plain,
! [SV237: $i,SV751: $i,SV1177: $i] :
( ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1177 ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV751 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1177 ) ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ SV237 @ SV751 ) @ SV1177 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4157]) ).
thf(4337,plain,
! [SV238: $i,SV752: $i,SV1178: $i] :
( ( ( hBOOL @ ( c_in @ SV1178 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV752 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1178 ) ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OSpy @ SV238 @ SV752 ) @ SV1178 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4158]) ).
thf(4338,plain,
! [SV760: $i,SV1185: $i,SV246: $i] :
( ( ( hBOOL @ ( c_in @ SV246 @ ( c_Message_Oanalz @ SV1185 ) @ tc_Message_Omsg ) )
= $false )
| ( ( c_lessequals @ SV1185 @ SV760 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV246 @ SV760 @ tc_Message_Omsg ) )
= ( c_Message_Oanalz @ SV760 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4159]) ).
thf(4339,plain,
! [SV780: $i,SV1195: $i,SV266: $i] :
( ( ( hBOOL @ ( c_in @ SV266 @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV1195 @ SV780 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV1195 @ ( c_Message_Oanalz @ SV780 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV266 @ ( c_Message_Oanalz @ SV780 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4160]) ).
thf(4340,plain,
! [SV1566: $i,SV274: $i,SV1449: $i,SV1201: $i,SV788: $i] :
( ( ( hBOOL @ ( c_in @ SV788 @ SV1201 @ SV1449 ) )
= $false )
| ( ( ( c_Set_Oinsert @ ( hAPP @ SV274 @ SV788 ) @ ( c_Set_Oimage @ SV274 @ SV1201 @ SV1449 @ SV1566 ) @ SV1566 )
= ( c_Set_Oimage @ SV274 @ SV1201 @ SV1449 @ SV1566 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4161]) ).
thf(4341,plain,
! [SV275: $i,SV1202: $i,SV1450: $i,SV789: $i] :
( ( ( c_lessequals @ SV789 @ SV1450 @ ( tc_fun @ SV1202 @ tc_bool ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV275 @ SV1450 @ SV1202 ) ) )
= $true )
| ( ( c_lessequals @ ( c_Set_Oinsert @ SV275 @ SV789 @ SV1202 ) @ SV1450 @ ( tc_fun @ SV1202 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4162]) ).
thf(4342,plain,
! [SV791: $i,SV1452: $i,SV1204: $i,SV277: $i] :
( ( ( c_lessequals @ SV277 @ SV1204 @ ( tc_fun @ SV1452 @ tc_bool ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV791 @ SV277 @ SV1452 ) )
= $true )
| ( ( c_lessequals @ SV277 @ ( c_Set_Oinsert @ SV791 @ SV1204 @ SV1452 ) @ ( tc_fun @ SV1452 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4164]) ).
thf(4343,plain,
! [SV1205: $i,SV792: $i,SV1453: $i,SV278: $i] :
( ( ( c_lessequals @ SV278 @ ( c_Set_Oinsert @ SV1453 @ SV792 @ SV1205 ) @ ( tc_fun @ SV1205 @ tc_bool ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV1453 @ SV278 @ SV1205 ) )
= $true )
| ( ( c_lessequals @ SV278 @ SV792 @ ( tc_fun @ SV1205 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4165]) ).
thf(4344,plain,
! [SV793: $i,SV1454: $i,SV1206: $i,SV279: $i] :
( ( ( c_lessequals @ SV279 @ SV1206 @ ( tc_fun @ SV1454 @ tc_bool ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV793 @ SV279 @ SV1454 ) )
= $true )
| ( ( c_lessequals @ SV279 @ ( c_Set_Oinsert @ SV793 @ SV1206 @ SV1454 ) @ ( tc_fun @ SV1454 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4166]) ).
thf(4345,plain,
! [SV1207: $i,SV794: $i,SV1455: $i,SV280: $i] :
( ( ( c_lessequals @ SV280 @ ( c_Set_Oinsert @ SV1455 @ SV794 @ SV1207 ) @ ( tc_fun @ SV1207 @ tc_bool ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV1455 @ SV280 @ SV1207 ) )
= $true )
| ( ( c_lessequals @ SV280 @ SV794 @ ( tc_fun @ SV1207 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4167]) ).
thf(4346,plain,
! [SV799: $i,SV1458: $i,SV285: $i,SV1212: $i] :
( ( ( hBOOL @ ( hAPP @ ( c_Set_Oinsert @ SV1212 @ SV285 @ SV1458 ) @ SV799 ) )
= $false )
| ( ( SV1212 = SV799 )
= $true )
| ( ( hBOOL @ ( hAPP @ SV285 @ SV799 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4169]) ).
thf(4347,plain,
! [SV1221: $i,SV808: $i,SV1466: $i,SV294: $i] :
( ( ( hBOOL @ ( c_in @ SV294 @ ( c_Set_Oinsert @ SV1466 @ SV808 @ SV1221 ) @ SV1221 ) )
= $false )
| ( ( SV294 = SV1466 )
= $true )
| ( ( hBOOL @ ( c_in @ SV294 @ SV808 @ SV1221 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4175]) ).
thf(4348,plain,
! [SV814: $i,SV1226: $i,SV300: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV300 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV1226 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV814 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( ( hBOOL @ ( c_in @ SV1226 @ ( 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 @ SV814 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( SV300 = SV1226 )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV300 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV814 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4176]) ).
thf(4349,plain,
! [SV301: $i,SV1227: $i,SV815: $i] :
( ( ( hBOOL @ ( c_in @ SV815 @ ( 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 @ SV1227 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV301 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1227 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV301 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV815 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1227 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4177]) ).
thf(4350,plain,
! [SV1647: $i,SV1618: $i,SV1569: $i,SV1467: $i,SV1228: $i,SV816: $i,SV302: $i] :
( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV302 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV816 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV816 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SV1228 @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ SV1467 @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SV1569 @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1 @ SV302 @ SV1569 @ SV816 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV302 ) ) ) ) @ ( c_List_Oset @ SV816 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1467 @ ( c_Message_Omsg_OCrypt @ SV1618 @ ( c_Message_Omsg_OMPair @ SV1569 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1228 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV302 ) @ SV1647 ) ) ) ) ) @ ( c_List_Oset @ SV816 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4178]) ).
thf(4351,plain,
! [SV1570: $i,SV1468: $i,SV1229: $i,SV817: $i,SV303: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV817 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SV1229 @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1 @ SV303 @ SV1229 @ SV817 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) ) ) ) @ ( c_List_Oset @ SV817 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV817 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SV1468 @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ SV1570 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1570 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1570 ) @ ( c_Message_Omsg_OMPair @ SV1229 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1468 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1468 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) @ ( c_Message_Omsg_OAgent @ SV1570 ) ) ) ) ) ) ) ) @ ( c_List_Oset @ SV817 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4179]) ).
thf(4352,plain,
! [SV1648: $i,SV1619: $i,SV1571: $i,SV1469: $i,SV1231: $i,SV820: $i,SV306: $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 @ SV306 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV820 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV1231 ) ) ) ) @ SV1469 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1571 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1571 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV306 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1619 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1231 ) @ SV1648 ) ) ) ) ) @ ( c_List_Oset @ SV1469 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1619 @ SV1571 @ ( c_Message_Omsg_OCrypt @ SV1231 @ ( c_Message_Omsg_ONonce @ SV820 ) ) ) @ ( c_List_Oset @ SV1469 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1469 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4181]) ).
thf(4353,plain,
! [SV821: $i,SV307: $i,SV1232: $i,SV1470: $i] :
( ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1470 ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1232 ) @ ( c_Event_Oused @ SV1470 ) @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV307 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV307 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV821 ) @ ( c_Message_Omsg_ONonce @ SV1232 ) ) ) ) @ SV1470 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4182]) ).
thf(4354,plain,
! [SV1620: $i,SV1572: $i,SV1471: $i,SV1233: $i,SV822: $i,SV308: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV308 @ ( 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 @ SV822 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SV1233 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1233 ) @ ( c_Message_Omsg_OMPair @ SV1471 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1572 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV308 ) @ SV1620 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV822 ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4183]) ).
thf(4355,plain,
! [SV824: $i,SV310: $i,SV1235: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1235 ) @ SV310 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV824 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV1235 @ c_Event_Obad @ tc_Message_Oagent ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV310 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV824 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4184]) ).
thf(4356,plain,
! [SV830: $i,SV1238: $i,SV317: $i] :
( ( ( hBOOL @ ( c_in @ SV317 @ ( c_Message_Oanalz @ SV1238 ) @ tc_Message_Omsg ) )
= $false )
| ( ( c_lessequals @ SV1238 @ ( c_Message_Oanalz @ SV830 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV317 @ ( c_Message_Oanalz @ SV830 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4187]) ).
thf(4357,plain,
! [SV831: $i,SV1239: $i,SV318: $i] :
( ( ( hBOOL @ ( c_in @ SV318 @ ( c_Message_Oparts @ SV1239 ) @ tc_Message_Omsg ) )
= $false )
| ( ( c_lessequals @ SV1239 @ ( c_Message_Oparts @ SV831 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV318 @ ( c_Message_Oparts @ SV831 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4188]) ).
thf(4358,plain,
! [SV1240: $i,SV832: $i,SV1474: $i,SV319: $i] :
( ( ( hBOOL @ ( c_in @ SV319 @ ( c_List_Oset @ ( c_List_Olist_OCons @ SV1474 @ SV832 @ SV1240 ) @ SV1240 ) @ SV1240 ) )
= $false )
| ( ( SV319 = SV1474 )
= $true )
| ( ( hBOOL @ ( c_in @ SV319 @ ( c_List_Oset @ SV832 @ SV1240 ) @ SV1240 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4189]) ).
thf(4359,plain,
! [SV833: $i,SV320: $i,SV1241: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SV1241 @ SV320 ) @ ( c_List_Oset @ SV833 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV1241 @ c_Event_Obad @ tc_Message_Oagent ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV320 @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV833 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4190]) ).
thf(4360,plain,
! [SV1574: $i,SV336: $i,SV1477: $i,SV1247: $i,SV847: $i] :
( ( ( hBOOL @ ( c_in @ SV847 @ SV1247 @ SV1477 ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ SV336 @ SV847 ) @ ( c_Set_Oimage @ SV336 @ SV1247 @ SV1477 @ SV1574 ) @ SV1574 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4191]) ).
thf(4361,plain,
! [SV1575: $i,SV337: $i,SV1478: $i,SV1248: $i,SV848: $i] :
( ( ( hBOOL @ ( c_in @ SV848 @ SV1248 @ SV1478 ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ SV337 @ SV848 ) @ ( c_Set_Oimage @ SV337 @ SV1248 @ SV1478 @ SV1575 ) @ SV1575 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4192]) ).
thf(4362,plain,
! [SV1576: $i,SV1479: $i,SV1249: $i,SV849: $i,SV338: $i] :
( ( ( hBOOL @ ( c_in @ SV338 @ SV849 @ SV1249 ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ SV1479 @ SV338 ) @ ( c_Set_Oimage @ SV1479 @ SV849 @ SV1249 @ SV1576 ) @ SV1576 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4193]) ).
thf(4363,plain,
! [SV1577: $i,SV1480: $i,SV1250: $i,SV850: $i,SV339: $i] :
( ( ( hBOOL @ ( c_in @ SV339 @ SV850 @ SV1250 ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ SV1480 @ SV339 ) @ ( c_Set_Oimage @ SV1480 @ SV850 @ SV1250 @ SV1577 ) @ SV1577 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4194]) ).
thf(4364,plain,
! [SV852: $i,SV1251: $i,SV1481: $i,SV341: $i] :
( ( ( hBOOL @ ( c_in @ SV341 @ SV1481 @ SV1251 ) )
= $false )
| ( ( ~ ( c_lessequals @ SV1481 @ SV852 @ ( tc_fun @ SV1251 @ tc_bool ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV341 @ SV852 @ SV1251 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4195]) ).
thf(4365,plain,
! [SV853: $i,SV1252: $i,SV1482: $i,SV342: $i] :
( ( ( hBOOL @ ( c_in @ SV342 @ SV1482 @ SV1252 ) )
= $false )
| ( ( ~ ( c_lessequals @ SV1482 @ SV853 @ ( tc_fun @ SV1252 @ tc_bool ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV342 @ SV853 @ SV1252 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4196]) ).
thf(4366,plain,
! [SV343: $i,SV1253: $i,SV854: $i,SV1483: $i] :
( ( ( c_lessequals @ SV1483 @ SV854 @ ( tc_fun @ SV1253 @ tc_bool ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV343 @ SV1483 @ SV1253 ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV343 @ SV854 @ SV1253 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4197]) ).
thf(4367,plain,
! [SV855: $i,SV1254: $i,SV1484: $i,SV344: $i] :
( ( ( hBOOL @ ( c_in @ SV344 @ SV1484 @ SV1254 ) )
= $false )
| ( ( ~ ( c_lessequals @ SV1484 @ SV855 @ ( tc_fun @ SV1254 @ tc_bool ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV344 @ SV855 @ SV1254 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4198]) ).
thf(4368,plain,
! [SV1578: $i,SV1485: $i,SV1255: $i,SV856: $i,SV345: $i] :
( ( ( class_HOL_Oord @ SV345 )
= $false )
| ( ( ( c_lessequals @ ( hAPP @ SV856 @ SV1255 ) @ ( hAPP @ SV1485 @ SV1255 ) @ SV345 )
| ~ ( c_lessequals @ SV856 @ SV1485 @ ( tc_fun @ SV1578 @ SV345 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4199]) ).
thf(4369,plain,
! [SV1621: $i,SV1579: $i,SV1488: $i,SV1260: $i,SV861: $i,SV350: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ SV350 @ SV861 ) @ SV1260 @ SV1488 ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV861 @ SV1579 @ SV1621 ) )
| ~ ( c_lessequals @ ( c_Set_Oimage @ SV350 @ SV1579 @ SV1621 @ SV1488 ) @ SV1260 @ ( tc_fun @ SV1488 @ tc_bool ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4200]) ).
thf(4370,plain,
! [SV1264: $i,SV866: $i,SV355: $i] :
( ( ( c_lessequals @ SV355 @ SV866 @ ( tc_fun @ SV1264 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV866 @ SV355 @ ( tc_fun @ SV1264 @ tc_bool ) )
= $false )
| ( ( SV355 = SV866 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4203]) ).
thf(4371,plain,
! [SV1265: $i,SV867: $i,SV356: $i] :
( ( ( c_lessequals @ SV356 @ SV867 @ ( tc_fun @ SV1265 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV867 @ SV356 @ ( tc_fun @ SV1265 @ tc_bool ) )
= $false )
| ( ( SV356 = SV867 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4204]) ).
thf(4372,plain,
! [SV357: $i,SV868: $i,SV1266: $i] :
( ( ( ~ ( c_lessequals @ SV1266 @ SV868 @ SV357 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV868 @ SV1266 @ SV357 ) )
= $true )
| ( ( SV868 = SV1266 )
= $true )
| ( ( class_Orderings_Oorder @ SV357 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4205]) ).
thf(4373,plain,
! [SV358: $i,SV869: $i,SV1267: $i] :
( ( ( ~ ( c_lessequals @ SV1267 @ SV869 @ SV358 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV869 @ SV1267 @ SV358 ) )
= $true )
| ( ( SV869 = SV1267 )
= $true )
| ( ( class_Orderings_Oorder @ SV358 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4206]) ).
thf(4374,plain,
! [SV359: $i,SV1268: $i,SV870: $i] :
( ( ( ~ ( c_lessequals @ SV870 @ SV1268 @ SV359 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1268 @ SV870 @ SV359 ) )
= $true )
| ( ( SV870 = SV1268 )
= $true )
| ( ( class_Orderings_Oorder @ SV359 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4207]) ).
thf(4375,plain,
! [SV1491: $i,SV364: $i,SV1271: $i,SV875: $i] :
( ( ( c_lessequals @ SV875 @ SV1271 @ SV364 )
= $true )
| ( ( ~ ( c_lessequals @ SV875 @ SV1491 @ SV364 )
| ~ ( c_lessequals @ SV1491 @ SV1271 @ SV364 ) )
= $true )
| ( ( class_Orderings_Oorder @ SV364 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4208]) ).
thf(4376,plain,
! [SV1492: $i,SV365: $i,SV1272: $i,SV876: $i] :
( ( ( c_lessequals @ SV876 @ SV1272 @ SV365 )
= $true )
| ( ( ~ ( c_lessequals @ SV1492 @ SV1272 @ SV365 )
| ~ ( c_lessequals @ SV876 @ SV1492 @ SV365 ) )
= $true )
| ( ( class_Orderings_Opreorder @ SV365 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4209]) ).
thf(4377,plain,
! [SV368: $i,SV1273: $i,SV879: $i,SV1493: $i] :
( ( ( c_lessequals @ SV1493 @ SV879 @ ( tc_fun @ SV1273 @ tc_bool ) )
= $false )
| ( ( ~ ( c_lessequals @ SV368 @ SV1493 @ ( tc_fun @ SV1273 @ tc_bool ) ) )
= $true )
| ( ( c_lessequals @ SV368 @ SV879 @ ( tc_fun @ SV1273 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4210]) ).
thf(4378,plain,
! [SV1494: $i,SV369: $i,SV880: $i,SV1274: $i] :
( ( ( hBOOL @ ( hAPP @ SV1274 @ SV880 ) )
= $false )
| ( ( ~ ( c_lessequals @ SV1274 @ SV369 @ ( tc_fun @ SV1494 @ tc_bool ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV369 @ SV880 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4211]) ).
thf(4379,plain,
! [SV883: $i,SV1495: $i,SV372: $i,SV1275: $i] :
( ( ( c_lessequals @ SV1275 @ SV372 @ ( tc_fun @ SV1495 @ tc_bool ) )
= $false )
| ( ( ~ ( hBOOL @ ( hAPP @ SV1275 @ SV883 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP @ SV372 @ SV883 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4212]) ).
thf(4380,plain,
! [SV1497: $i,SV375: $i,SV1278: $i,SV1580: $i,SV886: $i] :
( ( ( c_lessequals @ SV886 @ SV1580 @ ( tc_fun @ SV1278 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ ( c_Set_Oimage @ SV375 @ SV886 @ SV1278 @ SV1497 ) @ ( c_Set_Oimage @ SV375 @ SV1580 @ SV1278 @ SV1497 ) @ ( tc_fun @ SV1497 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4213]) ).
thf(4381,plain,
! [SV1581: $i,SV1498: $i,SV1279: $i,SV887: $i,SV376: $i] :
( ( ( c_lessequals @ SV376 @ SV887 @ ( tc_fun @ SV1279 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ ( c_Set_Oimage @ SV1498 @ SV376 @ SV1279 @ SV1581 ) @ ( c_Set_Oimage @ SV1498 @ SV887 @ SV1279 @ SV1581 ) @ ( tc_fun @ SV1581 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4214]) ).
thf(4382,plain,
! [SV893: $i,SV1282: $i,SV383: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV383 @ SV1282 ) @ SV893 @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV383 @ c_Message_OsymKeys @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV383 @ ( c_Message_OkeysFor @ SV893 ) @ tc_nat ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4219]) ).
thf(4383,plain,
! [SV1582: $i,SV1499: $i,SV1286: $i,SV897: $i,SV387: $i] :
( ( ( hBOOL @ ( c_in @ SV387 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV897 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV387 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV1286 @ SV1499 @ SV1582 ) @ SV897 @ tc_Event_Oevent ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4220]) ).
thf(4384,plain,
! [SV1649: $i,SV1622: $i,SV1583: $i,SV1500: $i,SV1287: $i,SV898: $i,SV388: $i] :
( ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV388 @ SV898 @ SV1287 ) @ SV1500 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV388 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV388 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV898 ) @ ( c_Message_Omsg_ONonce @ SV1583 ) ) ) ) @ ( c_List_Oset @ SV1500 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1622 @ SV388 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV388 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1583 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV898 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1649 ) @ SV1287 ) ) ) ) ) @ ( c_List_Oset @ SV1500 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV388 = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1500 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4221]) ).
thf(4385,plain,
! [SV389: $i,SV1288: $i,SV899: $i,SV1501: $i] :
( ( ( hBOOL @ ( c_in @ SV1501 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( ( hBOOL @ ( c_in @ SV899 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV899 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1288 ) @ ( c_Message_Omsg_OAgent @ SV389 ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1501 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV389 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV389 ) @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1 @ SV389 @ SV899 @ SV1288 @ SV1501 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV899 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1288 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV899 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1288 ) @ ( c_Message_Omsg_OAgent @ SV389 ) ) ) ) ) ) ) ) @ ( c_List_Oset @ SV1501 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4222]) ).
thf(4386,plain,
! [SV1623: $i,SV1584: $i,SV1502: $i,SV1290: $i,SV901: $i,SV391: $i] :
( ( ( SV391
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV901 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1290 ) @ ( c_Message_Omsg_OAgent @ SV1502 ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1584 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SV1502 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1502 ) @ ( c_Message_Omsg_OMPair @ SV1623 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV901 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1290 ) @ SV391 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1584 ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4224]) ).
thf(4387,plain,
! [SV1650: $i,SV1624: $i,SV1585: $i,SV1503: $i,SV1291: $i,SV902: $i,SV392: $i] :
( ( ! [SY3950: $i,SY3951: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV392 @ SV902 @ ( c_Message_Omsg_OCrypt @ SV1291 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1503 ) @ ( c_Message_Omsg_ONonce @ SV1503 ) ) ) ) @ SV1585 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1624 @ SV392 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV392 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1650 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV902 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1291 ) @ SY3950 ) ) ) ) ) @ ( c_List_Oset @ SV1585 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3951 @ SV392 @ ( c_Message_Omsg_OCrypt @ SV1291 @ ( c_Message_Omsg_ONonce @ SV1503 ) ) ) @ ( c_List_Oset @ SV1585 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1291 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1585 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4225]) ).
thf(4388,plain,
! [SV1651: $i,SV1625: $i,SV1586: $i,SV1504: $i,SV1292: $i,SV903: $i,SV393: $i] :
( ( ~ ( hBOOL @ ( c_in @ SV393 @ ( 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 @ SV903 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1292 @ ( c_Message_Omsg_OCrypt @ SV1504 @ ( c_Message_Omsg_OMPair @ SV1586 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1625 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV393 ) @ SV1651 ) ) ) ) ) @ ( c_List_Oset @ SV903 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4226]) ).
thf(4389,plain,
! [SV1626: $i,SV1587: $i,SV1505: $i,SV1293: $i,SV904: $i,SV394: $i] :
( ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV394 @ SV904 @ ( c_Message_Omsg_OCrypt @ SV1293 @ ( c_Message_Omsg_ONonce @ SV1505 ) ) ) @ SV1587 @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1626 @ SV394 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV394 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1293 ) @ ( c_Message_Omsg_OAgent @ SV904 ) ) ) ) @ ( c_List_Oset @ SV1587 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1293 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1505 ) @ ( c_Event_Oused @ SV1587 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1587 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4227]) ).
thf(4390,plain,
! [SV1652: $i,SV1627: $i,SV1588: $i,SV1506: $i,SV1294: $i,SV905: $i,SV395: $i] :
( ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV395 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV905 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV1294 ) ) ) ) @ SV1506 @ 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 @ SV1588 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1588 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV395 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1627 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1294 ) @ SV1652 ) ) ) ) ) @ ( c_List_Oset @ SV1506 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1627 @ SV1588 @ ( c_Message_Omsg_OCrypt @ SV1294 @ ( c_Message_Omsg_ONonce @ SV905 ) ) ) @ ( c_List_Oset @ SV1506 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1506 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4228]) ).
thf(4391,plain,
! [SV1628: $i,SV1589: $i,SV1507: $i,SV1295: $i,SV906: $i,SV396: $i] :
( ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV396 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV396 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV906 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1295 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1507 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1295 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1507 ) @ ( c_Message_Omsg_OAgent @ SV396 ) ) ) ) ) ) ) ) @ SV1589 @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1628 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV396 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1295 ) @ ( c_Message_Omsg_ONonce @ SV906 ) ) ) ) @ ( c_List_Oset @ SV1589 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1507 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1507 ) @ ( c_Event_Oused @ SV1589 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1589 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4229]) ).
thf(4392,plain,
! [SV1629: $i,SV1590: $i,SV1508: $i,SV1296: $i,SV907: $i,SV397: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV397 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV397 ) @ ( c_Message_Omsg_OMPair @ SV907 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1296 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1508 ) @ SV1590 ) ) ) ) ) @ ( c_List_Oset @ SV1629 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1629 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SV397 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV397 ) @ ( c_Message_Omsg_OMPair @ SV907 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1296 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1508 ) @ SV1590 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1629 ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4230]) ).
thf(4393,plain,
! [SV1653: $i,SV1630: $i,SV1591: $i,SV1509: $i,SV1297: $i,SV908: $i,SV398: $i] :
( ( ( hBOOL @ ( c_in @ SV398 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV908 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1297 @ ( 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 @ SV908 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1509 @ SV1591 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1591 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1630 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1653 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1297 ) @ SV398 ) ) ) ) ) @ ( c_List_Oset @ SV908 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4231]) ).
thf(4394,plain,
! [SV909: $i,SV399: $i,SV1298: $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 @ SV1298 ) @ ( c_Event_Oused @ SV1510 ) @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV399 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV399 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV909 ) @ ( c_Message_Omsg_ONonce @ SV1298 ) ) ) ) @ SV1510 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4232]) ).
thf(4395,plain,
! [SV910: $i,SV400: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV400 @ c_Message_OsymKeys @ tc_nat ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV400 ) @ ( c_Event_Oused @ SV910 ) @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV910 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV400 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV910 ) ) ) @ tc_nat ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4233]) ).
thf(4396,plain,
! [SV1654: $i,SV1631: $i,SV1592: $i,SV1511: $i,SV1299: $i,SV911: $i,SV401: $i] :
( ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV401 @ SV911 @ SV1299 ) @ SV1511 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV401 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV401 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV911 ) @ ( c_Message_Omsg_ONonce @ SV1592 ) ) ) ) @ ( c_List_Oset @ SV1511 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1631 @ SV401 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV401 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1592 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV911 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1654 ) @ SV1299 ) ) ) ) ) @ ( c_List_Oset @ SV1511 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV401 = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_in @ SV1511 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4234]) ).
thf(4397,plain,
! [SV1655: $i,SV1632: $i,SV1593: $i,SV1512: $i,SV1300: $i,SV912: $i,SV402: $i] :
( ( ! [SY3952: $i,SY3953: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV402 @ SV912 @ ( c_Message_Omsg_OCrypt @ SV1300 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1512 ) @ ( c_Message_Omsg_ONonce @ SV1512 ) ) ) ) @ SV1593 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1632 @ SV402 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV402 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1655 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV912 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1300 ) @ SY3952 ) ) ) ) ) @ ( c_List_Oset @ SV1593 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3953 @ SV402 @ ( c_Message_Omsg_OCrypt @ SV1300 @ ( c_Message_Omsg_ONonce @ SV1512 ) ) ) @ ( c_List_Oset @ SV1593 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1300 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV1593 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4235]) ).
thf(4398,plain,
! [SV1633: $i,SV1594: $i,SV1513: $i,SV1301: $i,SV913: $i,SV403: $i] :
( ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV403 @ SV913 @ ( c_Message_Omsg_OCrypt @ SV1301 @ ( c_Message_Omsg_ONonce @ SV1513 ) ) ) @ SV1594 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1633 @ SV403 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV403 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1301 ) @ ( c_Message_Omsg_OAgent @ SV913 ) ) ) ) @ ( c_List_Oset @ SV1594 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1301 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1513 ) @ ( c_Event_Oused @ SV1594 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1594 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4236]) ).
thf(4399,plain,
! [SV1634: $i,SV1595: $i,SV1514: $i,SV1302: $i,SV914: $i,SV404: $i] :
( ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV404 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV404 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV914 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1302 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1514 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1302 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1514 ) @ ( c_Message_Omsg_OAgent @ SV404 ) ) ) ) ) ) ) ) @ SV1595 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1634 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV404 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1302 ) @ ( c_Message_Omsg_ONonce @ SV914 ) ) ) ) @ ( c_List_Oset @ SV1595 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1514 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1514 ) @ ( c_Event_Oused @ SV1595 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1595 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4237]) ).
thf(4400,plain,
! [SV922: $i,SV415: $i,SV1310: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV1310 @ c_Message_OsymKeys @ tc_nat ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1310 @ SV415 ) @ ( c_Message_Oanalz @ SV922 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1310 ) @ ( c_Message_Oanalz @ SV922 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV415 @ ( c_Message_Oanalz @ SV922 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4239]) ).
thf(4401,plain,
! [SV1656: $i,SV1635: $i,SV1596: $i,SV1518: $i,SV1313: $i,SV928: $i,SV421: $i] :
( ( ! [SY3954: $i] :
( ( hBOOL @ ( c_in @ SV421 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV928 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1313 @ SV1518 @ ( c_Message_Omsg_OCrypt @ SV1596 @ ( c_Message_Omsg_OMPair @ SV1635 @ ( c_Message_Omsg_OMPair @ SV1656 @ ( c_Message_Omsg_OMPair @ SY3954 @ SV421 ) ) ) ) ) @ ( c_List_Oset @ SV928 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4242]) ).
thf(4402,plain,
! [SV1657: $i,SV1636: $i,SV1597: $i,SV1519: $i,SV1314: $i,SV929: $i,SV424: $i] :
( ( ( SV424
= ( hAPP @ c_Public_OshrK @ SV929 ) )
| ~ ( hBOOL @ ( c_in @ SV1314 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV929 @ ( c_Message_Omsg_OCrypt @ SV424 @ ( c_Message_Omsg_OMPair @ SV1519 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1597 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1636 ) @ SV1657 ) ) ) ) ) @ ( c_List_Oset @ SV1314 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4243]) ).
thf(4403,plain,
! [SV931: $i,SV426: $i,SV1316: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1316 ) @ SV426 ) @ ( c_Message_Oanalz @ SV931 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Public_OshrK @ SV1316 ) ) @ ( c_Message_Oanalz @ SV931 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV426 @ ( c_Message_Oanalz @ SV931 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4244]) ).
thf(4404,plain,
! [SV1658: $i,SV1637: $i,SV1598: $i,SV1521: $i,SV1318: $i,SV934: $i,SV429: $i] :
( ( ! [SY3955: $i,SY3956: $i,SY3957: $i] :
( ( SV429 = SV934 )
| ~ ( hBOOL @ ( c_in @ SV1318 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV934 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV934 ) @ ( c_Message_Omsg_OMPair @ SV1521 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1598 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1637 ) @ SV1658 ) ) ) ) ) @ ( c_List_Oset @ SV1318 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV429 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV429 ) @ ( c_Message_Omsg_OMPair @ SY3955 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3956 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1637 ) @ SY3957 ) ) ) ) ) @ ( c_List_Oset @ SV1318 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4246]) ).
thf(4405,plain,
! [SV1659: $i,SV1638: $i,SV1599: $i,SV1522: $i,SV1319: $i,SV935: $i,SV430: $i] :
( ( ! [SY3958: $i,SY3959: $i,SY3960: $i] :
( ( SV430 = SV935 )
| ~ ( hBOOL @ ( c_in @ SV1319 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1522 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1522 ) @ ( c_Message_Omsg_OMPair @ SV935 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1599 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1638 ) @ SV1659 ) ) ) ) ) @ ( c_List_Oset @ SV1319 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3958 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3958 ) @ ( c_Message_Omsg_OMPair @ SV430 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3959 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1638 ) @ SY3960 ) ) ) ) ) @ ( c_List_Oset @ SV1319 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4247]) ).
thf(4406,plain,
! [SV1660: $i,SV1639: $i,SV1600: $i,SV1523: $i,SV1320: $i,SV936: $i,SV431: $i] :
( ( ! [SY3961: $i,SY3962: $i,SY3963: $i] :
( ( SV431 = SV936 )
| ~ ( hBOOL @ ( c_in @ SV1320 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1523 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1523 ) @ ( c_Message_Omsg_OMPair @ SV1600 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV936 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1639 ) @ SV1660 ) ) ) ) ) @ ( c_List_Oset @ SV1320 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3961 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3961 ) @ ( c_Message_Omsg_OMPair @ SY3962 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV431 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1639 ) @ SY3963 ) ) ) ) ) @ ( c_List_Oset @ SV1320 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4248]) ).
thf(4407,plain,
! [SV1661: $i,SV1640: $i,SV1601: $i,SV1524: $i,SV1321: $i,SV937: $i,SV432: $i] :
( ( ! [SY3964: $i,SY3965: $i,SY3966: $i] :
( ( SV432 = SV937 )
| ~ ( hBOOL @ ( c_in @ SV1321 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1524 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1524 ) @ ( c_Message_Omsg_OMPair @ SV1601 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1640 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1661 ) @ SV937 ) ) ) ) ) @ ( c_List_Oset @ SV1321 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SY3964 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SY3964 ) @ ( c_Message_Omsg_OMPair @ SY3965 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3966 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1661 ) @ SV432 ) ) ) ) ) @ ( c_List_Oset @ SV1321 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4249]) ).
thf(4408,plain,
! [SV1641: $i,SV1602: $i,SV1525: $i,SV1322: $i,SV938: $i,SV433: $i] :
( ( ( hBOOL @ ( c_in @ SV433 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV938 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1322 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1322 ) @ ( c_Message_Omsg_OMPair @ SV1525 @ ( c_Message_Omsg_OMPair @ SV1602 @ ( c_Message_Omsg_OMPair @ SV433 @ SV1641 ) ) ) ) ) @ ( c_List_Oset @ SV938 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4250]) ).
thf(4409,plain,
! [SV1662: $i,SV1642: $i,SV1603: $i,SV1527: $i,SV1326: $i,SV944: $i,SV439: $i] :
( ( ( hBOOL @ ( c_in @ SV439 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV944 ) ) @ tc_Message_Omsg ) )
| ( SV439
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1326 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1527 ) @ ( c_Message_Omsg_OAgent @ SV1603 ) ) ) )
| ~ ( hBOOL @ ( c_in @ SV944 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1642 @ SV1603 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1603 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1662 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1326 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1527 ) @ SV439 ) ) ) ) ) @ ( c_List_Oset @ SV944 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4252]) ).
thf(4410,plain,
! [SV1663: $i,SV1643: $i,SV1604: $i,SV1528: $i,SV1327: $i,SV945: $i,SV440: $i] :
( ( ( SV440
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV945 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1327 ) @ ( c_Message_Omsg_OAgent @ SV1528 ) ) ) )
| ~ ( hBOOL @ ( c_in @ SV1604 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1528 @ ( c_Message_Omsg_OCrypt @ SV1643 @ ( c_Message_Omsg_OMPair @ SV1663 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV945 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1327 ) @ SV440 ) ) ) ) ) @ ( c_List_Oset @ SV1604 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4253]) ).
thf(4411,plain,
! [SV1605: $i,SV1532: $i,SV1335: $i,SV973: $i,SV469: $i] :
( ( ( ( c_Set_Oinsert @ SV469 @ ( c_Set_Oinsert @ SV973 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1335 @ tc_bool ) ) @ SV1335 ) @ SV1335 )
= ( c_Set_Oinsert @ SV1532 @ ( c_Set_Oinsert @ SV1605 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1335 @ tc_bool ) ) @ SV1335 ) @ SV1335 ) )
= $false )
| ( ( ( SV469 = SV1605 )
| ( SV469 = SV1532 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4256]) ).
thf(4412,plain,
! [SV1606: $i,SV1536: $i,SV1343: $i,SV983: $i,SV479: $i] :
( ( ( ( c_List_Olist_OCons @ SV479 @ SV983 @ SV1343 )
= ( c_List_Olist_OCons @ SV1536 @ SV1606 @ SV1343 ) )
= $false )
| ( ( SV983 = SV1606 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4259]) ).
thf(4413,plain,
! [SV1357: $i,SV496: $i,SV999: $i] :
( ( ( ( c_HOL_Ouminus__class_Ouminus @ SV999 @ SV496 )
= ( c_HOL_Ouminus__class_Ouminus @ SV1357 @ SV496 ) )
= $false )
| ( ( SV999 = SV1357 )
= $true )
| ( ( class_Lattices_Oboolean__algebra @ SV496 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4265]) ).
thf(4414,plain,
! [SV1644: $i,SV1608: $i,SV1544: $i,SV1359: $i,SV1001: $i,SV499: $i] :
( ( ( ( c_Event_Oevent_OSays @ SV499 @ SV1001 @ SV1359 )
!= ( c_Event_Oevent_OSays @ SV1544 @ SV1608 @ SV1644 ) )
= $true )
| ( ( SV1359 = SV1644 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4266]) ).
thf(4415,plain,
! [SV504: $i,SV1363: $i,SV1006: $i] :
( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV1006 @ SV1363 @ SV504 )
= SV1363 )
= $false )
| ( ( c_lessequals @ SV1006 @ SV1363 @ SV504 )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV504 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4268]) ).
thf(4416,plain,
! [SV511: $i,SV1368: $i,SV1013: $i] :
( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV1013 @ SV1368 @ SV511 )
= ( c_Orderings_Obot__class_Obot @ SV511 ) )
= $false )
| ( ( SV1013
= ( c_Orderings_Obot__class_Obot @ SV511 ) )
= $true )
| ( ( class_Lattices_Obounded__lattice @ SV511 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4271]) ).
thf(4417,plain,
! [SV1014: $i,SV513: $i,SV1549: $i,SV1369: $i] :
( ( ( ( c_Message_Oanalz @ SV1369 )
!= ( c_Message_Oanalz @ SV1549 ) )
= $true )
| ( ( ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1369 @ SV513 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1549 @ SV1014 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true )
| ( ( ( c_Message_Oanalz @ SV513 )
= ( c_Message_Oanalz @ SV1014 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4272]) ).
thf(4418,plain,
! [SV1019: $i,SV1374: $i,SV1550: $i,SV518: $i] :
( ( ( hBOOL @ ( c_in @ SV518 @ SV1550 @ SV1374 ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ SV518 @ SV1019 @ SV1374 ) )
| ( SV1019 = SV1550 ) )
= $true )
| ( ( ( c_Set_Oinsert @ SV518 @ SV1019 @ SV1374 )
= ( c_Set_Oinsert @ SV518 @ SV1550 @ SV1374 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4273]) ).
thf(4419,plain,
! [SV1645: $i,SV1611: $i,SV1552: $i,SV1378: $i,SV1023: $i,SV522: $i] :
( ( ( ( c_Event_Oevent_OSays @ SV522 @ SV1023 @ SV1378 )
!= ( c_Event_Oevent_OSays @ SV1552 @ SV1611 @ SV1645 ) )
= $true )
| ( ( SV1023 = SV1611 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4274]) ).
thf(4420,plain,
! [SV1383: $i,SV528: $i,SV1029: $i] :
( ( ( ( c_HOL_Ouminus__class_Ouminus @ SV1029 @ SV528 )
= ( c_HOL_Ouminus__class_Ouminus @ SV1383 @ SV528 ) )
= $false )
| ( ( SV1029 = SV1383 )
= $true )
| ( ( class_OrderedGroup_Ogroup__add @ SV528 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4276]) ).
thf(4421,plain,
! [SV1612: $i,SV1555: $i,SV1385: $i,SV1031: $i,SV530: $i] :
( ( ( ( c_List_Olist_OCons @ SV530 @ SV1031 @ SV1385 )
= ( c_List_Olist_OCons @ SV1555 @ SV1612 @ SV1385 ) )
= $false )
| ( ( SV530 = SV1555 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4278]) ).
thf(4422,plain,
! [SV532: $i,SV1387: $i,SV1033: $i] :
( ( ( ( c_Lattices_Oupper__semilattice__class_Osup @ SV1033 @ SV1387 @ SV532 )
= ( c_Orderings_Obot__class_Obot @ SV532 ) )
= $false )
| ( ( SV1387
= ( c_Orderings_Obot__class_Obot @ SV532 ) )
= $true )
| ( ( class_Lattices_Obounded__lattice @ SV532 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4280]) ).
thf(4423,plain,
! [SV1614: $i,SV1557: $i,SV1388: $i,SV1036: $i,SV535: $i] :
( ( ( ( c_Set_Oinsert @ SV535 @ ( c_Set_Oinsert @ SV1036 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1388 @ tc_bool ) ) @ SV1388 ) @ SV1388 )
= ( c_Set_Oinsert @ SV1557 @ ( c_Set_Oinsert @ SV1614 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1388 @ tc_bool ) ) @ SV1388 ) @ SV1388 ) )
= $false )
| ( ( ( SV535 = SV1614 )
| ( SV1036 = SV1614 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4281]) ).
thf(4424,plain,
! [SV1615: $i,SV1558: $i,SV1389: $i,SV1037: $i,SV537: $i] :
( ( ( ( c_Set_Oinsert @ SV537 @ ( c_Set_Oinsert @ SV1037 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1389 @ tc_bool ) ) @ SV1389 ) @ SV1389 )
= ( c_Set_Oinsert @ SV1558 @ ( c_Set_Oinsert @ SV1615 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1389 @ tc_bool ) ) @ SV1389 ) @ SV1389 ) )
= $false )
| ( ( ( SV1037 = SV1558 )
| ( SV537 = SV1558 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4282]) ).
thf(4425,plain,
! [SV1646: $i,SV1616: $i,SV1559: $i,SV1391: $i,SV1039: $i,SV539: $i] :
( ( ( ( c_Event_Oevent_OSays @ SV539 @ SV1039 @ SV1391 )
!= ( c_Event_Oevent_OSays @ SV1559 @ SV1616 @ SV1646 ) )
= $true )
| ( ( SV539 = SV1559 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4283]) ).
thf(4426,plain,
! [SV1617: $i,SV1561: $i,SV1395: $i,SV1044: $i,SV544: $i] :
( ( ( ( c_Set_Oinsert @ SV544 @ ( c_Set_Oinsert @ SV1044 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1395 @ tc_bool ) ) @ SV1395 ) @ SV1395 )
= ( c_Set_Oinsert @ SV1561 @ ( c_Set_Oinsert @ SV1617 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1395 @ tc_bool ) ) @ SV1395 ) @ SV1395 ) )
= $false )
| ( ( ( SV1044 = SV1561 )
| ( SV1044 = SV1617 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4285]) ).
thf(4427,plain,
! [SV601: $i,SV1078: $i,SV1409: $i,SV67: $i] :
( ( ( c_lessequals @ SV67 @ SV1409 @ ( tc_fun @ SV1078 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV601 @ SV1409 @ ( tc_fun @ SV1078 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV67 @ SV601 @ ( tc_fun @ SV1078 @ tc_bool ) ) @ SV1409 @ ( tc_fun @ SV1078 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4293]) ).
thf(4428,plain,
! [SV604: $i,SV1081: $i,SV1410: $i,SV70: $i] :
( ( ( c_lessequals @ SV70 @ SV1410 @ ( tc_fun @ SV1081 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV604 @ SV1410 @ ( tc_fun @ SV1081 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV70 @ SV604 @ ( tc_fun @ SV1081 @ tc_bool ) ) @ SV1410 @ ( tc_fun @ SV1081 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4294]) ).
thf(4429,plain,
! [SV605: $i,SV71: $i,SV1411: $i,SV1082: $i] :
( ( ( ~ ( c_lessequals @ SV1082 @ SV1411 @ SV71 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV605 @ SV1411 @ SV71 ) )
= $true )
| ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV605 @ SV1082 @ SV71 ) @ SV1411 @ SV71 )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV71 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4295]) ).
thf(4430,plain,
! [SV608: $i,SV74: $i,SV1412: $i,SV1085: $i] :
( ( ( ~ ( c_lessequals @ SV1085 @ SV1412 @ SV74 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV608 @ SV1412 @ SV74 ) )
= $true )
| ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV608 @ SV1085 @ SV74 ) @ SV1412 @ SV74 )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV74 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4296]) ).
thf(4431,plain,
! [SV609: $i,SV75: $i,SV1413: $i,SV1086: $i] :
( ( ( ~ ( c_lessequals @ SV1086 @ SV1413 @ SV75 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV609 @ SV1413 @ SV75 ) )
= $true )
| ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV609 @ SV1086 @ SV75 ) @ SV1413 @ SV75 )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV75 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4297]) ).
thf(4432,plain,
! [SV78: $i,SV1089: $i,SV612: $i,SV1414: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1414 @ ( c_List_Olist_OCons @ SV612 @ SV1089 @ SV78 ) @ SV78 ) @ SV78 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV612 @ SV1089 @ SV78 ) @ SV78 )
= $true )
| ( ( class_Orderings_Olinorder @ SV78 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4298]) ).
thf(4433,plain,
! [SV1106: $i,SV107: $i,SV638: $i,SV1418: $i] :
( ( ( hBOOL @ ( c_in @ SV1418 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV638 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV107 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV1418 @ SV1106 @ tc_Message_Omsg ) ) ) @ tc_nat ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV107 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1106 @ SV638 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) ) @ tc_nat ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV107 ) ) @ ( c_Message_Oparts @ SV638 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4303]) ).
thf(4434,plain,
! [SV118: $i,SV1116: $i,SV649: $i] :
( ( ( c_lessequals @ SV649 @ ( 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 @ SV1116 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV118 @ SV649 @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV118 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV649 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1116 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4305]) ).
thf(4435,plain,
! [SV119: $i,SV650: $i,SV1117: $i] :
( ( ( ~ ( c_lessequals @ SV1117 @ ( 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 @ SV650 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV119 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV1117 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV650 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV119 @ SV1117 @ tc_nat ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV119 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV650 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4306]) ).
thf(4436,plain,
! [SV120: $i,SV1118: $i,SV651: $i] :
( ( ( c_lessequals @ SV651 @ ( 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 @ SV1118 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV120 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1118 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV120 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV651 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1118 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4307]) ).
thf(4437,plain,
! [SV1424: $i,SV145: $i,SV1128: $i,SV1563: $i,SV675: $i] :
( ( ( c_lessequals @ SV675 @ SV1563 @ ( tc_fun @ SV1128 @ tc_bool ) )
= $false )
| ( ( ~ ( c_lessequals @ SV145 @ SV1424 @ ( tc_fun @ SV1128 @ tc_bool ) ) )
= $true )
| ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV145 @ SV675 @ ( tc_fun @ SV1128 @ tc_bool ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1424 @ SV1563 @ ( tc_fun @ SV1128 @ tc_bool ) ) @ ( tc_fun @ SV1128 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4311]) ).
thf(4438,plain,
! [SV1129: $i,SV150: $i,SV676: $i,SV1425: $i] :
( ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1425 @ SV676 @ SV150 ) @ SV1129 @ SV150 )
= $false )
| ( ( c_lessequals @ SV676 @ SV1129 @ SV150 )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV150 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4312]) ).
thf(4439,plain,
! [SV1130: $i,SV151: $i,SV1426: $i,SV677: $i] :
( ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV677 @ SV1426 @ SV151 ) @ SV1130 @ SV151 )
= $false )
| ( ( c_lessequals @ SV677 @ SV1130 @ SV151 )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV151 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4313]) ).
thf(4440,plain,
! [SV1131: $i,SV152: $i,SV1427: $i,SV678: $i] :
( ( ( c_lessequals @ SV678 @ SV1427 @ SV152 )
= $false )
| ( ( c_lessequals @ SV678 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1131 @ SV1427 @ SV152 ) @ SV152 )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV152 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4314]) ).
thf(4441,plain,
! [SV1428: $i,SV153: $i,SV1132: $i,SV679: $i] :
( ( ( c_lessequals @ SV679 @ SV1132 @ SV153 )
= $false )
| ( ( c_lessequals @ SV679 @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1132 @ SV1428 @ SV153 ) @ SV153 )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV153 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4315]) ).
thf(4442,plain,
! [SV1133: $i,SV154: $i,SV680: $i,SV1429: $i] :
( ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1429 @ SV680 @ SV154 ) @ SV1133 @ SV154 )
= $false )
| ( ( c_lessequals @ SV680 @ SV1133 @ SV154 )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV154 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4316]) ).
thf(4443,plain,
! [SV1134: $i,SV155: $i,SV1430: $i,SV681: $i] :
( ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV681 @ SV1430 @ SV155 ) @ SV1134 @ SV155 )
= $false )
| ( ( c_lessequals @ SV681 @ SV1134 @ SV155 )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV155 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4317]) ).
thf(4444,plain,
! [SV166: $i,SV1434: $i,SV1141: $i,SV691: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV691 @ ( c_List_Olist_OCons @ SV1141 @ SV1434 @ SV166 ) @ SV166 ) @ SV166 )
= $false )
| ( ( c_lessequals @ SV691 @ SV1141 @ SV166 )
= $true )
| ( ( class_Orderings_Olinorder @ SV166 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4319]) ).
thf(4445,plain,
! [SV692: $i,SV167: $i,SV1435: $i,SV1142: $i] :
( ( ( ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1142 @ SV1435 @ SV167 ) @ SV167 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV692 @ SV1142 @ SV167 ) )
= $true )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV692 @ ( c_List_Olist_OCons @ SV1142 @ SV1435 @ SV167 ) @ SV167 ) @ SV167 )
= $true )
| ( ( class_Orderings_Olinorder @ SV167 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4320]) ).
thf(4446,plain,
! [SV178: $i,SV701: $i,SV1149: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV1149 ) ) @ ( c_Message_Oanalz @ SV701 ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1149 ) @ ( c_Message_Oanalz @ SV701 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1149 @ SV178 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV701 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV178 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV701 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4322]) ).
thf(4447,plain,
! [SV702: $i,SV1150: $i,SV179: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV179 ) ) @ ( c_Message_Oanalz @ SV1150 ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV179 ) @ ( c_Message_Oanalz @ SV1150 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV702 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1150 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV179 @ SV702 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1150 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4323]) ).
thf(4448,plain,
! [SV1436: $i,SV717: $i,SV1156: $i,SV196: $i] :
( ( ( c_lessequals @ ( c_Message_Oanalz @ SV196 ) @ ( c_Message_Oanalz @ SV1156 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( c_lessequals @ ( c_Message_Oanalz @ SV717 ) @ ( c_Message_Oanalz @ SV1436 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( c_lessequals @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV196 @ SV717 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1156 @ SV1436 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4328]) ).
thf(4449,plain,
! [SV1159: $i,SV721: $i,SV1437: $i,SV204: $i] :
( ( ( hBOOL @ ( c_in @ SV204 @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV1437 @ SV721 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV1437 @ ( c_Message_Oparts @ SV1159 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV204 @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV721 @ SV1159 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4330]) ).
thf(4450,plain,
! [SV736: $i,SV222: $i,SV1439: $i,SV1163: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV1163 @ ( c_List_Oset @ SV1439 @ SV222 ) @ SV222 ) ) )
= $true )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV736 @ SV1439 @ SV222 ) @ SV222 ) )
= $true )
| ( ( c_lessequals @ SV736 @ SV1163 @ SV222 )
= $true )
| ( ( class_Orderings_Olinorder @ SV222 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4331]) ).
thf(4451,plain,
! [SV1168: $i,SV227: $i,SV741: $i] :
( ( ( SV741 = c_Message_Oagent_OSpy )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV227 @ ( c_Event_Oknows @ SV741 @ SV1168 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV741 @ ( c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1 @ SV741 @ SV227 @ SV1168 ) @ SV227 ) @ ( c_List_Oset @ SV1168 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OGets @ SV741 @ SV227 ) @ ( c_List_Oset @ SV1168 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SV741 @ SV227 ) @ ( c_List_Oset @ SV1168 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV227 @ ( c_Event_OinitState @ SV741 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4333]) ).
thf(4452,plain,
! [SV231: $i,SV745: $i,SV1172: $i,SV1440: $i] :
( ( ( ~ ( c_lessequals @ SV1440 @ SV1172 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV745 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1440 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV231 ) @ ( c_Message_Oanalz @ SV1172 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV231 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV745 @ SV1172 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4334]) ).
thf(4453,plain,
! [SV232: $i,SV1173: $i,SV746: $i,SV1441: $i] :
( ( ( ~ ( c_lessequals @ SV1441 @ SV746 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1173 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1441 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV232 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV1173 @ SV746 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV232 ) @ ( c_Message_Oanalz @ SV746 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4335]) ).
thf(4454,plain,
! [SV789: $i,SV1202: $i,SV1450: $i,SV275: $i] :
( ( ( hBOOL @ ( c_in @ SV275 @ SV1450 @ SV1202 ) )
= $false )
| ( ( c_lessequals @ SV789 @ SV1450 @ ( tc_fun @ SV1202 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ ( c_Set_Oinsert @ SV275 @ SV789 @ SV1202 ) @ SV1450 @ ( tc_fun @ SV1202 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4341]) ).
thf(4455,plain,
! [SV300: $i,SV814: $i,SV1226: $i] :
( ( ( hBOOL @ ( c_in @ SV1226 @ ( 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 @ SV814 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV300 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV1226 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV814 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( SV300 = SV1226 )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV300 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV814 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4348]) ).
thf(4456,plain,
! [SV301: $i,SV815: $i,SV1227: $i] :
( ( ( hBOOL @ ( c_in @ SV1227 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV815 @ ( 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 @ SV301 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1227 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV301 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV815 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1227 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4349]) ).
thf(4457,plain,
! [SV1647: $i,SV1618: $i,SV1569: $i,SV1467: $i,SV1228: $i,SV816: $i,SV302: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV302 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV816 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV816 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SV1228 @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ SV1467 @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SV1569 @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1 @ SV302 @ SV1569 @ SV816 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV302 ) ) ) ) @ ( c_List_Oset @ SV816 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1467 @ ( c_Message_Omsg_OCrypt @ SV1618 @ ( c_Message_Omsg_OMPair @ SV1569 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1228 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV302 ) @ SV1647 ) ) ) ) ) @ ( c_List_Oset @ SV816 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4350]) ).
thf(4458,plain,
! [SV1570: $i,SV1468: $i,SV817: $i,SV303: $i,SV1229: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SV1229 @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1 @ SV303 @ SV1229 @ SV817 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) ) ) ) @ ( c_List_Oset @ SV817 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV817 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SV1468 @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ SV1570 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1570 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1570 ) @ ( c_Message_Omsg_OMPair @ SV1229 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1468 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1468 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) @ ( c_Message_Omsg_OAgent @ SV1570 ) ) ) ) ) ) ) ) @ ( c_List_Oset @ SV817 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV817 ) ) @ tc_Message_Omsg ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4351]) ).
thf(4459,plain,
! [SV1648: $i,SV1619: $i,SV1571: $i,SV1469: $i,SV1231: $i,SV820: $i,SV306: $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 @ SV306 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV820 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV1231 ) ) ) ) @ SV1469 @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1571 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1571 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV306 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1619 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1231 ) @ SV1648 ) ) ) ) ) @ ( c_List_Oset @ SV1469 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1619 @ SV1571 @ ( c_Message_Omsg_OCrypt @ SV1231 @ ( c_Message_Omsg_ONonce @ SV820 ) ) ) @ ( c_List_Oset @ SV1469 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1469 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4352]) ).
thf(4460,plain,
! [SV1620: $i,SV1572: $i,SV1471: $i,SV1233: $i,SV822: $i,SV308: $i] :
( ( ( hBOOL @ ( c_in @ SV308 @ ( 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 @ SV822 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SV1233 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1233 ) @ ( c_Message_Omsg_OMPair @ SV1471 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1572 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV308 ) @ SV1620 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV822 ) ) @ tc_Message_Omsg ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4354]) ).
thf(4461,plain,
! [SV341: $i,SV1251: $i,SV852: $i,SV1481: $i] :
( ( ( c_lessequals @ SV1481 @ SV852 @ ( tc_fun @ SV1251 @ tc_bool ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV341 @ SV1481 @ SV1251 ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV341 @ SV852 @ SV1251 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4364]) ).
thf(4462,plain,
! [SV342: $i,SV1252: $i,SV853: $i,SV1482: $i] :
( ( ( c_lessequals @ SV1482 @ SV853 @ ( tc_fun @ SV1252 @ tc_bool ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV342 @ SV1482 @ SV1252 ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV342 @ SV853 @ SV1252 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4365]) ).
thf(4463,plain,
! [SV854: $i,SV1253: $i,SV1483: $i,SV343: $i] :
( ( ( hBOOL @ ( c_in @ SV343 @ SV1483 @ SV1253 ) )
= $false )
| ( ( c_lessequals @ SV1483 @ SV854 @ ( tc_fun @ SV1253 @ tc_bool ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV343 @ SV854 @ SV1253 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4366]) ).
thf(4464,plain,
! [SV344: $i,SV1254: $i,SV855: $i,SV1484: $i] :
( ( ( c_lessequals @ SV1484 @ SV855 @ ( tc_fun @ SV1254 @ tc_bool ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV344 @ SV1484 @ SV1254 ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV344 @ SV855 @ SV1254 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4367]) ).
thf(4465,plain,
! [SV1578: $i,SV345: $i,SV1485: $i,SV1255: $i,SV856: $i] :
( ( ( c_lessequals @ ( hAPP @ SV856 @ SV1255 ) @ ( hAPP @ SV1485 @ SV1255 ) @ SV345 )
= $true )
| ( ( ~ ( c_lessequals @ SV856 @ SV1485 @ ( tc_fun @ SV1578 @ SV345 ) ) )
= $true )
| ( ( class_HOL_Oord @ SV345 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4368]) ).
thf(4466,plain,
! [SV1260: $i,SV1488: $i,SV350: $i,SV1621: $i,SV1579: $i,SV861: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV861 @ SV1579 @ SV1621 ) ) )
= $true )
| ( ( ~ ( c_lessequals @ ( c_Set_Oimage @ SV350 @ SV1579 @ SV1621 @ SV1488 ) @ SV1260 @ ( tc_fun @ SV1488 @ tc_bool ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ SV350 @ SV861 ) @ SV1260 @ SV1488 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4369]) ).
thf(4467,plain,
! [SV357: $i,SV868: $i,SV1266: $i] :
( ( ( c_lessequals @ SV1266 @ SV868 @ SV357 )
= $false )
| ( ( ~ ( c_lessequals @ SV868 @ SV1266 @ SV357 ) )
= $true )
| ( ( SV868 = SV1266 )
= $true )
| ( ( class_Orderings_Oorder @ SV357 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4372]) ).
thf(4468,plain,
! [SV358: $i,SV869: $i,SV1267: $i] :
( ( ( c_lessequals @ SV1267 @ SV869 @ SV358 )
= $false )
| ( ( ~ ( c_lessequals @ SV869 @ SV1267 @ SV358 ) )
= $true )
| ( ( SV869 = SV1267 )
= $true )
| ( ( class_Orderings_Oorder @ SV358 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4373]) ).
thf(4469,plain,
! [SV359: $i,SV1268: $i,SV870: $i] :
( ( ( c_lessequals @ SV870 @ SV1268 @ SV359 )
= $false )
| ( ( ~ ( c_lessequals @ SV1268 @ SV870 @ SV359 ) )
= $true )
| ( ( SV870 = SV1268 )
= $true )
| ( ( class_Orderings_Oorder @ SV359 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4374]) ).
thf(4470,plain,
! [SV1271: $i,SV364: $i,SV1491: $i,SV875: $i] :
( ( ( ~ ( c_lessequals @ SV875 @ SV1491 @ SV364 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV1491 @ SV1271 @ SV364 ) )
= $true )
| ( ( c_lessequals @ SV875 @ SV1271 @ SV364 )
= $true )
| ( ( class_Orderings_Oorder @ SV364 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4375]) ).
thf(4471,plain,
! [SV876: $i,SV365: $i,SV1272: $i,SV1492: $i] :
( ( ( ~ ( c_lessequals @ SV1492 @ SV1272 @ SV365 ) )
= $true )
| ( ( ~ ( c_lessequals @ SV876 @ SV1492 @ SV365 ) )
= $true )
| ( ( c_lessequals @ SV876 @ SV1272 @ SV365 )
= $true )
| ( ( class_Orderings_Opreorder @ SV365 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4376]) ).
thf(4472,plain,
! [SV879: $i,SV1273: $i,SV1493: $i,SV368: $i] :
( ( ( c_lessequals @ SV368 @ SV1493 @ ( tc_fun @ SV1273 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV1493 @ SV879 @ ( tc_fun @ SV1273 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV368 @ SV879 @ ( tc_fun @ SV1273 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4377]) ).
thf(4473,plain,
! [SV880: $i,SV1494: $i,SV369: $i,SV1274: $i] :
( ( ( c_lessequals @ SV1274 @ SV369 @ ( tc_fun @ SV1494 @ tc_bool ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV1274 @ SV880 ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV369 @ SV880 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4378]) ).
thf(4474,plain,
! [SV1495: $i,SV372: $i,SV883: $i,SV1275: $i] :
( ( ( hBOOL @ ( hAPP @ SV1275 @ SV883 ) )
= $false )
| ( ( c_lessequals @ SV1275 @ SV372 @ ( tc_fun @ SV1495 @ tc_bool ) )
= $false )
| ( ( hBOOL @ ( hAPP @ SV372 @ SV883 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4379]) ).
thf(4475,plain,
! [SV1649: $i,SV1622: $i,SV1583: $i,SV1500: $i,SV1287: $i,SV898: $i,SV388: $i] :
( ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV388 @ SV898 @ SV1287 ) @ SV1500 @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV388 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV388 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV898 ) @ ( c_Message_Omsg_ONonce @ SV1583 ) ) ) ) @ ( c_List_Oset @ SV1500 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1622 @ SV388 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV388 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1583 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV898 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1649 ) @ SV1287 ) ) ) ) ) @ ( c_List_Oset @ SV1500 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV388 = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1500 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4384]) ).
thf(4476,plain,
! [SV1501: $i,SV389: $i,SV1288: $i,SV899: $i] :
( ( ( hBOOL @ ( c_in @ SV899 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV899 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1288 ) @ ( c_Message_Omsg_OAgent @ SV389 ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1501 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1501 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV389 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV389 ) @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1 @ SV389 @ SV899 @ SV1288 @ SV1501 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV899 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1288 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV899 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1288 ) @ ( c_Message_Omsg_OAgent @ SV389 ) ) ) ) ) ) ) ) @ ( c_List_Oset @ SV1501 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4385]) ).
thf(4477,plain,
! [SV391: $i,SV1290: $i,SV901: $i,SV1623: $i,SV1502: $i,SV1584: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV1584 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ SV1502 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1502 ) @ ( c_Message_Omsg_OMPair @ SV1623 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV901 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1290 ) @ SV391 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1584 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( SV391
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV901 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1290 ) @ ( c_Message_Omsg_OAgent @ SV1502 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4386]) ).
thf(4478,plain,
! [SV1664: $i,SV1650: $i,SV1624: $i,SV1585: $i,SV1503: $i,SV1291: $i,SV902: $i,SV392: $i] :
( ( ! [SY3967: $i] :
( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV392 @ SV902 @ ( c_Message_Omsg_OCrypt @ SV1291 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1503 ) @ ( c_Message_Omsg_ONonce @ SV1503 ) ) ) ) @ SV1585 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1624 @ SV392 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV392 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1650 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV902 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1291 ) @ SV1664 ) ) ) ) ) @ ( c_List_Oset @ SV1585 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3967 @ SV392 @ ( c_Message_Omsg_OCrypt @ SV1291 @ ( c_Message_Omsg_ONonce @ SV1503 ) ) ) @ ( c_List_Oset @ SV1585 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1291 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1585 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4387]) ).
thf(4479,plain,
! [SV1651: $i,SV1625: $i,SV1586: $i,SV1504: $i,SV1292: $i,SV903: $i,SV393: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV393 @ ( 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 @ SV903 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1292 @ ( c_Message_Omsg_OCrypt @ SV1504 @ ( c_Message_Omsg_OMPair @ SV1586 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1625 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV393 ) @ SV1651 ) ) ) ) ) @ ( c_List_Oset @ SV903 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4388]) ).
thf(4480,plain,
! [SV1505: $i,SV1587: $i,SV904: $i,SV1293: $i,SV394: $i,SV1626: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1626 @ SV394 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV394 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1293 ) @ ( c_Message_Omsg_OAgent @ SV904 ) ) ) ) @ ( c_List_Oset @ SV1587 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1293 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1505 ) @ ( c_Event_Oused @ SV1587 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1587 ) ) )
= $true )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV394 @ SV904 @ ( c_Message_Omsg_OCrypt @ SV1293 @ ( c_Message_Omsg_ONonce @ SV1505 ) ) ) @ SV1587 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4389]) ).
thf(4481,plain,
! [SV1652: $i,SV1627: $i,SV1588: $i,SV1506: $i,SV1294: $i,SV905: $i,SV395: $i] :
( ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV395 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV905 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV1294 ) ) ) ) @ SV1506 @ 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 @ SV1588 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1588 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV395 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1627 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1294 ) @ SV1652 ) ) ) ) ) @ ( c_List_Oset @ SV1506 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1627 @ SV1588 @ ( c_Message_Omsg_OCrypt @ SV1294 @ ( c_Message_Omsg_ONonce @ SV905 ) ) ) @ ( c_List_Oset @ SV1506 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1506 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4390]) ).
thf(4482,plain,
! [SV1507: $i,SV1589: $i,SV906: $i,SV1295: $i,SV396: $i,SV1628: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1628 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV396 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1295 ) @ ( c_Message_Omsg_ONonce @ SV906 ) ) ) ) @ ( c_List_Oset @ SV1589 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1507 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1507 ) @ ( c_Event_Oused @ SV1589 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1589 ) ) )
= $true )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV396 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV396 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV906 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1295 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1507 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1295 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1507 ) @ ( c_Message_Omsg_OAgent @ SV396 ) ) ) ) ) ) ) ) @ SV1589 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4391]) ).
thf(4483,plain,
! [SV1590: $i,SV1508: $i,SV1296: $i,SV907: $i,SV397: $i,SV1629: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV1629 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ SV397 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV397 ) @ ( c_Message_Omsg_OMPair @ SV907 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1296 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1508 ) @ SV1590 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1629 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV397 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV397 ) @ ( c_Message_Omsg_OMPair @ SV907 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1296 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1508 ) @ SV1590 ) ) ) ) ) @ ( c_List_Oset @ SV1629 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4392]) ).
thf(4484,plain,
! [SV1653: $i,SV1630: $i,SV1591: $i,SV1509: $i,SV1297: $i,SV908: $i,SV398: $i] :
( ( ( hBOOL @ ( c_in @ SV398 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV908 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1297 @ ( 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 @ SV908 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1509 @ SV1591 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1591 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1630 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1653 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1297 ) @ SV398 ) ) ) ) ) @ ( c_List_Oset @ SV908 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4393]) ).
thf(4485,plain,
! [SV910: $i,SV400: $i] :
( ( ( hBOOL @ ( c_in @ SV400 @ c_Message_OsymKeys @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV400 ) @ ( c_Event_Oused @ SV910 ) @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV910 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV400 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV910 ) ) ) @ tc_nat ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4395]) ).
thf(4486,plain,
! [SV1654: $i,SV1631: $i,SV1592: $i,SV1511: $i,SV1299: $i,SV911: $i,SV401: $i] :
( ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV401 @ SV911 @ SV1299 ) @ SV1511 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV401 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV401 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV911 ) @ ( c_Message_Omsg_ONonce @ SV1592 ) ) ) ) @ ( c_List_Oset @ SV1511 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1631 @ SV401 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV401 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1592 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV911 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1654 ) @ SV1299 ) ) ) ) ) @ ( c_List_Oset @ SV1511 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV401 = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_in @ SV1511 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4396]) ).
thf(4487,plain,
! [SV1665: $i,SV1655: $i,SV1632: $i,SV1593: $i,SV1512: $i,SV1300: $i,SV912: $i,SV402: $i] :
( ( ! [SY3968: $i] :
( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV402 @ SV912 @ ( c_Message_Omsg_OCrypt @ SV1300 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1512 ) @ ( c_Message_Omsg_ONonce @ SV1512 ) ) ) ) @ SV1593 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1632 @ SV402 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV402 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1655 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV912 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1300 ) @ SV1665 ) ) ) ) ) @ ( c_List_Oset @ SV1593 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SY3968 @ SV402 @ ( c_Message_Omsg_OCrypt @ SV1300 @ ( c_Message_Omsg_ONonce @ SV1512 ) ) ) @ ( c_List_Oset @ SV1593 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1300 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV1593 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4397]) ).
thf(4488,plain,
! [SV1513: $i,SV1594: $i,SV913: $i,SV1301: $i,SV403: $i,SV1633: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1633 @ SV403 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV403 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1301 ) @ ( c_Message_Omsg_OAgent @ SV913 ) ) ) ) @ ( c_List_Oset @ SV1594 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1301 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1513 ) @ ( c_Event_Oused @ SV1594 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1594 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV403 @ SV913 @ ( c_Message_Omsg_OCrypt @ SV1301 @ ( c_Message_Omsg_ONonce @ SV1513 ) ) ) @ SV1594 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4398]) ).
thf(4489,plain,
! [SV1514: $i,SV1595: $i,SV914: $i,SV1302: $i,SV404: $i,SV1634: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1634 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV404 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1302 ) @ ( c_Message_Omsg_ONonce @ SV914 ) ) ) ) @ ( c_List_Oset @ SV1595 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1514 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1514 ) @ ( c_Event_Oused @ SV1595 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1595 @ 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 @ SV404 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV404 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV914 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1302 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1514 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1302 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1514 ) @ ( c_Message_Omsg_OAgent @ SV404 ) ) ) ) ) ) ) ) @ SV1595 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4399]) ).
thf(4490,plain,
! [SV922: $i,SV415: $i,SV1310: $i] :
( ( ( hBOOL @ ( c_in @ SV1310 @ c_Message_OsymKeys @ tc_nat ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1310 @ SV415 ) @ ( c_Message_Oanalz @ SV922 ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1310 ) @ ( c_Message_Oanalz @ SV922 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV415 @ ( c_Message_Oanalz @ SV922 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4400]) ).
thf(4491,plain,
! [SV1666: $i,SV1656: $i,SV1635: $i,SV1596: $i,SV1518: $i,SV1313: $i,SV928: $i,SV421: $i] :
( ( ( hBOOL @ ( c_in @ SV421 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV928 ) ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1313 @ SV1518 @ ( c_Message_Omsg_OCrypt @ SV1596 @ ( c_Message_Omsg_OMPair @ SV1635 @ ( c_Message_Omsg_OMPair @ SV1656 @ ( c_Message_Omsg_OMPair @ SV1666 @ SV421 ) ) ) ) ) @ ( c_List_Oset @ SV928 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4401]) ).
thf(4492,plain,
! [SV1657: $i,SV1636: $i,SV1597: $i,SV1519: $i,SV1314: $i,SV929: $i,SV424: $i] :
( ( ( SV424
= ( hAPP @ c_Public_OshrK @ SV929 ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1314 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV929 @ ( c_Message_Omsg_OCrypt @ SV424 @ ( c_Message_Omsg_OMPair @ SV1519 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1597 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1636 ) @ SV1657 ) ) ) ) ) @ ( c_List_Oset @ SV1314 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4402]) ).
thf(4493,plain,
! [SV1667: $i,SV1658: $i,SV1637: $i,SV1598: $i,SV1521: $i,SV1318: $i,SV934: $i,SV429: $i] :
( ( ! [SY3969: $i,SY3970: $i] :
( ( SV429 = SV934 )
| ~ ( hBOOL @ ( c_in @ SV1318 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV934 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV934 ) @ ( c_Message_Omsg_OMPair @ SV1521 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1598 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1637 ) @ SV1658 ) ) ) ) ) @ ( c_List_Oset @ SV1318 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV429 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV429 ) @ ( c_Message_Omsg_OMPair @ SV1667 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3969 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1637 ) @ SY3970 ) ) ) ) ) @ ( c_List_Oset @ SV1318 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4404]) ).
thf(4494,plain,
! [SV1668: $i,SV1659: $i,SV1638: $i,SV1599: $i,SV1522: $i,SV1319: $i,SV935: $i,SV430: $i] :
( ( ! [SY3971: $i,SY3972: $i] :
( ( SV430 = SV935 )
| ~ ( hBOOL @ ( c_in @ SV1319 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1522 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1522 ) @ ( c_Message_Omsg_OMPair @ SV935 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1599 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1638 ) @ SV1659 ) ) ) ) ) @ ( c_List_Oset @ SV1319 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1668 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1668 ) @ ( c_Message_Omsg_OMPair @ SV430 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3971 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1638 ) @ SY3972 ) ) ) ) ) @ ( c_List_Oset @ SV1319 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4405]) ).
thf(4495,plain,
! [SV1669: $i,SV1660: $i,SV1639: $i,SV1600: $i,SV1523: $i,SV1320: $i,SV936: $i,SV431: $i] :
( ( ! [SY3973: $i,SY3974: $i] :
( ( SV431 = SV936 )
| ~ ( hBOOL @ ( c_in @ SV1320 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1523 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1523 ) @ ( c_Message_Omsg_OMPair @ SV1600 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV936 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1639 ) @ SV1660 ) ) ) ) ) @ ( c_List_Oset @ SV1320 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1669 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1669 ) @ ( c_Message_Omsg_OMPair @ SY3973 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV431 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1639 ) @ SY3974 ) ) ) ) ) @ ( c_List_Oset @ SV1320 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4406]) ).
thf(4496,plain,
! [SV1670: $i,SV1661: $i,SV1640: $i,SV1601: $i,SV1524: $i,SV1321: $i,SV937: $i,SV432: $i] :
( ( ! [SY3975: $i,SY3976: $i] :
( ( SV432 = SV937 )
| ~ ( hBOOL @ ( c_in @ SV1321 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1524 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1524 ) @ ( c_Message_Omsg_OMPair @ SV1601 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1640 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1661 ) @ SV937 ) ) ) ) ) @ ( c_List_Oset @ SV1321 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1670 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1670 ) @ ( c_Message_Omsg_OMPair @ SY3975 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3976 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1661 ) @ SV432 ) ) ) ) ) @ ( c_List_Oset @ SV1321 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4407]) ).
thf(4497,plain,
! [SV938: $i,SV1641: $i,SV433: $i,SV1602: $i,SV1525: $i,SV1322: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1322 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1322 ) @ ( c_Message_Omsg_OMPair @ SV1525 @ ( c_Message_Omsg_OMPair @ SV1602 @ ( c_Message_Omsg_OMPair @ SV433 @ SV1641 ) ) ) ) ) @ ( c_List_Oset @ SV938 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV433 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV938 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4408]) ).
thf(4498,plain,
! [SV1662: $i,SV1642: $i,SV1603: $i,SV1527: $i,SV1326: $i,SV944: $i,SV439: $i] :
( ( ( hBOOL @ ( c_in @ SV439 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV944 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ( SV439
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1326 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1527 ) @ ( c_Message_Omsg_OAgent @ SV1603 ) ) ) )
| ~ ( hBOOL @ ( c_in @ SV944 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1642 @ SV1603 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1603 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1662 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1326 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1527 ) @ SV439 ) ) ) ) ) @ ( c_List_Oset @ SV944 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4409]) ).
thf(4499,plain,
! [SV1663: $i,SV1643: $i,SV1604: $i,SV1528: $i,SV1327: $i,SV945: $i,SV440: $i] :
( ( ( SV440
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV945 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1327 ) @ ( c_Message_Omsg_OAgent @ SV1528 ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1604 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1528 @ ( c_Message_Omsg_OCrypt @ SV1643 @ ( c_Message_Omsg_OMPair @ SV1663 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV945 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1327 ) @ SV440 ) ) ) ) ) @ ( c_List_Oset @ SV1604 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4410]) ).
thf(4500,plain,
! [SV1335: $i,SV973: $i,SV1532: $i,SV1605: $i,SV469: $i] :
( ( ( SV469 = SV1605 )
= $true )
| ( ( SV469 = SV1532 )
= $true )
| ( ( ( c_Set_Oinsert @ SV469 @ ( c_Set_Oinsert @ SV973 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1335 @ tc_bool ) ) @ SV1335 ) @ SV1335 )
= ( c_Set_Oinsert @ SV1532 @ ( c_Set_Oinsert @ SV1605 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1335 @ tc_bool ) ) @ SV1335 ) @ SV1335 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4411]) ).
thf(4501,plain,
! [SV1644: $i,SV1608: $i,SV1544: $i,SV1359: $i,SV1001: $i,SV499: $i] :
( ( ( ( c_Event_Oevent_OSays @ SV499 @ SV1001 @ SV1359 )
= ( c_Event_Oevent_OSays @ SV1544 @ SV1608 @ SV1644 ) )
= $false )
| ( ( SV1359 = SV1644 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4414]) ).
thf(4502,plain,
! [SV1014: $i,SV513: $i,SV1549: $i,SV1369: $i] :
( ( ( ( c_Message_Oanalz @ SV1369 )
= ( c_Message_Oanalz @ SV1549 ) )
= $false )
| ( ( ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1369 @ SV513 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) )
= ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1549 @ SV1014 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) )
= $true )
| ( ( ( c_Message_Oanalz @ SV513 )
= ( c_Message_Oanalz @ SV1014 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4417]) ).
thf(4503,plain,
! [SV1550: $i,SV1374: $i,SV1019: $i,SV518: $i] :
( ( ( hBOOL @ ( c_in @ SV518 @ SV1019 @ SV1374 ) )
= $true )
| ( ( SV1019 = SV1550 )
= $true )
| ( ( hBOOL @ ( c_in @ SV518 @ SV1550 @ SV1374 ) )
= $true )
| ( ( ( c_Set_Oinsert @ SV518 @ SV1019 @ SV1374 )
= ( c_Set_Oinsert @ SV518 @ SV1550 @ SV1374 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4418]) ).
thf(4504,plain,
! [SV1645: $i,SV1611: $i,SV1552: $i,SV1378: $i,SV1023: $i,SV522: $i] :
( ( ( ( c_Event_Oevent_OSays @ SV522 @ SV1023 @ SV1378 )
= ( c_Event_Oevent_OSays @ SV1552 @ SV1611 @ SV1645 ) )
= $false )
| ( ( SV1023 = SV1611 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4419]) ).
thf(4505,plain,
! [SV1557: $i,SV1388: $i,SV1036: $i,SV1614: $i,SV535: $i] :
( ( ( SV535 = SV1614 )
= $true )
| ( ( SV1036 = SV1614 )
= $true )
| ( ( ( c_Set_Oinsert @ SV535 @ ( c_Set_Oinsert @ SV1036 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1388 @ tc_bool ) ) @ SV1388 ) @ SV1388 )
= ( c_Set_Oinsert @ SV1557 @ ( c_Set_Oinsert @ SV1614 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1388 @ tc_bool ) ) @ SV1388 ) @ SV1388 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4423]) ).
thf(4506,plain,
! [SV1615: $i,SV1389: $i,SV537: $i,SV1558: $i,SV1037: $i] :
( ( ( SV1037 = SV1558 )
= $true )
| ( ( SV537 = SV1558 )
= $true )
| ( ( ( c_Set_Oinsert @ SV537 @ ( c_Set_Oinsert @ SV1037 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1389 @ tc_bool ) ) @ SV1389 ) @ SV1389 )
= ( c_Set_Oinsert @ SV1558 @ ( c_Set_Oinsert @ SV1615 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1389 @ tc_bool ) ) @ SV1389 ) @ SV1389 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4424]) ).
thf(4507,plain,
! [SV1646: $i,SV1616: $i,SV1559: $i,SV1391: $i,SV1039: $i,SV539: $i] :
( ( ( ( c_Event_Oevent_OSays @ SV539 @ SV1039 @ SV1391 )
= ( c_Event_Oevent_OSays @ SV1559 @ SV1616 @ SV1646 ) )
= $false )
| ( ( SV539 = SV1559 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4425]) ).
thf(4508,plain,
! [SV1395: $i,SV544: $i,SV1617: $i,SV1561: $i,SV1044: $i] :
( ( ( SV1044 = SV1561 )
= $true )
| ( ( SV1044 = SV1617 )
= $true )
| ( ( ( c_Set_Oinsert @ SV544 @ ( c_Set_Oinsert @ SV1044 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1395 @ tc_bool ) ) @ SV1395 ) @ SV1395 )
= ( c_Set_Oinsert @ SV1561 @ ( c_Set_Oinsert @ SV1617 @ ( c_Orderings_Obot__class_Obot @ ( tc_fun @ SV1395 @ tc_bool ) ) @ SV1395 ) @ SV1395 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4426]) ).
thf(4509,plain,
! [SV605: $i,SV71: $i,SV1411: $i,SV1082: $i] :
( ( ( c_lessequals @ SV1082 @ SV1411 @ SV71 )
= $false )
| ( ( ~ ( c_lessequals @ SV605 @ SV1411 @ SV71 ) )
= $true )
| ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV605 @ SV1082 @ SV71 ) @ SV1411 @ SV71 )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4429]) ).
thf(4510,plain,
! [SV608: $i,SV74: $i,SV1412: $i,SV1085: $i] :
( ( ( c_lessequals @ SV1085 @ SV1412 @ SV74 )
= $false )
| ( ( ~ ( c_lessequals @ SV608 @ SV1412 @ SV74 ) )
= $true )
| ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV608 @ SV1085 @ SV74 ) @ SV1412 @ SV74 )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV74 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4430]) ).
thf(4511,plain,
! [SV609: $i,SV75: $i,SV1413: $i,SV1086: $i] :
( ( ( c_lessequals @ SV1086 @ SV1413 @ SV75 )
= $false )
| ( ( ~ ( c_lessequals @ SV609 @ SV1413 @ SV75 ) )
= $true )
| ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV609 @ SV1086 @ SV75 ) @ SV1413 @ SV75 )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV75 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4431]) ).
thf(4512,plain,
! [SV638: $i,SV1106: $i,SV1418: $i,SV107: $i] :
( ( ( hBOOL @ ( c_in @ SV107 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Set_Oinsert @ SV1418 @ SV1106 @ tc_Message_Omsg ) ) ) @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV1418 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV638 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV107 @ ( c_Message_OkeysFor @ ( c_Message_Oparts @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1106 @ SV638 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) ) @ tc_nat ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV107 ) ) @ ( c_Message_Oparts @ SV638 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4433]) ).
thf(4513,plain,
! [SV118: $i,SV649: $i,SV1116: $i] :
( ( ( hBOOL @ ( c_in @ SV1116 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( c_lessequals @ SV649 @ ( 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 @ SV118 @ SV649 @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV118 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV649 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1116 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4434]) ).
thf(4514,plain,
! [SV119: $i,SV650: $i,SV1117: $i] :
( ( ( c_lessequals @ SV1117 @ ( 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 @ SV650 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV119 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV1117 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV650 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV119 @ SV1117 @ tc_nat ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV119 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV650 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4435]) ).
thf(4515,plain,
! [SV120: $i,SV651: $i,SV1118: $i] :
( ( ( hBOOL @ ( c_in @ SV1118 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( c_lessequals @ SV651 @ ( 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 @ SV120 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1118 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV120 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV651 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1118 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4436]) ).
thf(4516,plain,
! [SV1563: $i,SV675: $i,SV1128: $i,SV1424: $i,SV145: $i] :
( ( ( c_lessequals @ SV145 @ SV1424 @ ( tc_fun @ SV1128 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ SV675 @ SV1563 @ ( tc_fun @ SV1128 @ tc_bool ) )
= $false )
| ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV145 @ SV675 @ ( tc_fun @ SV1128 @ tc_bool ) ) @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV1424 @ SV1563 @ ( tc_fun @ SV1128 @ tc_bool ) ) @ ( tc_fun @ SV1128 @ tc_bool ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4437]) ).
thf(4517,plain,
! [SV692: $i,SV167: $i,SV1435: $i,SV1142: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1142 @ SV1435 @ SV167 ) @ SV167 )
= $false )
| ( ( ~ ( c_lessequals @ SV692 @ SV1142 @ SV167 ) )
= $true )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV692 @ ( c_List_Olist_OCons @ SV1142 @ SV1435 @ SV167 ) @ SV167 ) @ SV167 )
= $true )
| ( ( class_Orderings_Olinorder @ SV167 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4445]) ).
thf(4518,plain,
! [SV178: $i,SV701: $i,SV1149: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1149 ) @ ( c_Message_Oanalz @ SV701 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV1149 ) ) @ ( c_Message_Oanalz @ SV701 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1149 @ SV178 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV701 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV178 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV701 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4446]) ).
thf(4519,plain,
! [SV702: $i,SV1150: $i,SV179: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV179 ) @ ( c_Message_Oanalz @ SV1150 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ ( hAPP @ c_Message_OinvKey @ SV179 ) ) @ ( c_Message_Oanalz @ SV1150 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV702 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1150 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV179 @ SV702 ) @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1150 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4447]) ).
thf(4520,plain,
! [SV736: $i,SV222: $i,SV1439: $i,SV1163: $i] :
( ( ( hBOOL @ ( c_in @ SV1163 @ ( c_List_Oset @ SV1439 @ SV222 ) @ SV222 ) )
= $false )
| ( ( ~ ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV736 @ SV1439 @ SV222 ) @ SV222 ) )
= $true )
| ( ( c_lessequals @ SV736 @ SV1163 @ SV222 )
= $true )
| ( ( class_Orderings_Olinorder @ SV222 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4450]) ).
thf(4521,plain,
! [SV1168: $i,SV741: $i,SV227: $i] :
( ( ( hBOOL @ ( c_in @ SV227 @ ( c_Event_Oknows @ SV741 @ SV1168 ) @ tc_Message_Omsg ) )
= $false )
| ( ( SV741 = c_Message_Oagent_OSpy )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV741 @ ( c_Event_Osko__Event__Xknows__imp__Says__Gets__Notes__initState__1__1 @ SV741 @ SV227 @ SV1168 ) @ SV227 ) @ ( c_List_Oset @ SV1168 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OGets @ SV741 @ SV227 ) @ ( c_List_Oset @ SV1168 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ SV741 @ SV227 ) @ ( c_List_Oset @ SV1168 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV227 @ ( c_Event_OinitState @ SV741 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4451]) ).
thf(4522,plain,
! [SV231: $i,SV745: $i,SV1172: $i,SV1440: $i] :
( ( ( c_lessequals @ SV1440 @ SV1172 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV745 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1440 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV231 ) @ ( c_Message_Oanalz @ SV1172 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV231 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV745 @ SV1172 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4452]) ).
thf(4523,plain,
! [SV232: $i,SV1173: $i,SV746: $i,SV1441: $i] :
( ( ( c_lessequals @ SV1441 @ SV746 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV1173 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1441 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV232 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV1173 @ SV746 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV232 ) @ ( c_Message_Oanalz @ SV746 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4453]) ).
thf(4524,plain,
! [SV300: $i,SV1226: $i,SV814: $i] :
( ( ( hBOOL @ ( c_in @ SV814 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV1226 @ ( 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 @ SV300 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ ( hAPP @ c_Message_Omsg_OKey @ SV1226 ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV814 ) @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( SV300 = SV1226 )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV300 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV814 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4455]) ).
thf(4525,plain,
! [SV1647: $i,SV1618: $i,SV1569: $i,SV1467: $i,SV1228: $i,SV816: $i,SV302: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV302 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV816 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV816 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ( hBOOL @ ( c_in @ SV1228 @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ SV1467 @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SV1569 @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1 @ SV302 @ SV1569 @ SV816 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV302 ) ) ) ) @ ( c_List_Oset @ SV816 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1467 @ ( c_Message_Omsg_OCrypt @ SV1618 @ ( c_Message_Omsg_OMPair @ SV1569 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1228 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV302 ) @ SV1647 ) ) ) ) ) @ ( c_List_Oset @ SV816 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4457]) ).
thf(4526,plain,
! [SV303: $i,SV1229: $i,SV1570: $i,SV1468: $i,SV817: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV817 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ SV1468 @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ SV1570 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1570 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1570 ) @ ( c_Message_Omsg_OMPair @ SV1229 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1468 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1468 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) @ ( c_Message_Omsg_OAgent @ SV1570 ) ) ) ) ) ) ) ) @ ( c_List_Oset @ SV817 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SV1229 @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1 @ SV303 @ SV1229 @ SV817 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) ) ) ) @ ( c_List_Oset @ SV817 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV817 ) ) @ tc_Message_Omsg ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4458]) ).
thf(4527,plain,
! [SV820: $i,SV1469: $i,SV1648: $i,SV1231: $i,SV1619: $i,SV306: $i,SV1571: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1571 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1571 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV306 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1619 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1231 ) @ SV1648 ) ) ) ) ) @ ( c_List_Oset @ SV1469 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1619 @ SV1571 @ ( c_Message_Omsg_OCrypt @ SV1231 @ ( c_Message_Omsg_ONonce @ SV820 ) ) ) @ ( c_List_Oset @ SV1469 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1469 ) ) )
= $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 @ SV306 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV820 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV1231 ) ) ) ) @ SV1469 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4459]) ).
thf(4528,plain,
! [SV1620: $i,SV308: $i,SV1572: $i,SV1471: $i,SV1233: $i,SV822: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV822 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ SV1233 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1233 ) @ ( c_Message_Omsg_OMPair @ SV1471 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1572 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV308 ) @ SV1620 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV822 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV308 @ ( 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)],[4460]) ).
thf(4529,plain,
! [SV1255: $i,SV345: $i,SV1578: $i,SV1485: $i,SV856: $i] :
( ( ( c_lessequals @ SV856 @ SV1485 @ ( tc_fun @ SV1578 @ SV345 ) )
= $false )
| ( ( c_lessequals @ ( hAPP @ SV856 @ SV1255 ) @ ( hAPP @ SV1485 @ SV1255 ) @ SV345 )
= $true )
| ( ( class_HOL_Oord @ SV345 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4465]) ).
thf(4530,plain,
! [SV1260: $i,SV1488: $i,SV350: $i,SV1621: $i,SV1579: $i,SV861: $i] :
( ( ( hBOOL @ ( c_in @ SV861 @ SV1579 @ SV1621 ) )
= $false )
| ( ( ~ ( c_lessequals @ ( c_Set_Oimage @ SV350 @ SV1579 @ SV1621 @ SV1488 ) @ SV1260 @ ( tc_fun @ SV1488 @ tc_bool ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ SV350 @ SV861 ) @ SV1260 @ SV1488 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4466]) ).
thf(4531,plain,
! [SV357: $i,SV1266: $i,SV868: $i] :
( ( ( c_lessequals @ SV868 @ SV1266 @ SV357 )
= $false )
| ( ( c_lessequals @ SV1266 @ SV868 @ SV357 )
= $false )
| ( ( SV868 = SV1266 )
= $true )
| ( ( class_Orderings_Oorder @ SV357 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4467]) ).
thf(4532,plain,
! [SV358: $i,SV1267: $i,SV869: $i] :
( ( ( c_lessequals @ SV869 @ SV1267 @ SV358 )
= $false )
| ( ( c_lessequals @ SV1267 @ SV869 @ SV358 )
= $false )
| ( ( SV869 = SV1267 )
= $true )
| ( ( class_Orderings_Oorder @ SV358 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4468]) ).
thf(4533,plain,
! [SV359: $i,SV870: $i,SV1268: $i] :
( ( ( c_lessequals @ SV1268 @ SV870 @ SV359 )
= $false )
| ( ( c_lessequals @ SV870 @ SV1268 @ SV359 )
= $false )
| ( ( SV870 = SV1268 )
= $true )
| ( ( class_Orderings_Oorder @ SV359 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4469]) ).
thf(4534,plain,
! [SV1271: $i,SV364: $i,SV1491: $i,SV875: $i] :
( ( ( c_lessequals @ SV875 @ SV1491 @ SV364 )
= $false )
| ( ( ~ ( c_lessequals @ SV1491 @ SV1271 @ SV364 ) )
= $true )
| ( ( c_lessequals @ SV875 @ SV1271 @ SV364 )
= $true )
| ( ( class_Orderings_Oorder @ SV364 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4470]) ).
thf(4535,plain,
! [SV876: $i,SV365: $i,SV1272: $i,SV1492: $i] :
( ( ( c_lessequals @ SV1492 @ SV1272 @ SV365 )
= $false )
| ( ( ~ ( c_lessequals @ SV876 @ SV1492 @ SV365 ) )
= $true )
| ( ( c_lessequals @ SV876 @ SV1272 @ SV365 )
= $true )
| ( ( class_Orderings_Opreorder @ SV365 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4471]) ).
thf(4536,plain,
! [SV1287: $i,SV1649: $i,SV1622: $i,SV1500: $i,SV1583: $i,SV898: $i,SV388: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV388 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV388 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV898 ) @ ( c_Message_Omsg_ONonce @ SV1583 ) ) ) ) @ ( c_List_Oset @ SV1500 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1622 @ SV388 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV388 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1583 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV898 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1649 ) @ SV1287 ) ) ) ) ) @ ( c_List_Oset @ SV1500 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV388 = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1500 ) ) )
= $true )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV388 @ SV898 @ SV1287 ) @ SV1500 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4475]) ).
thf(4537,plain,
! [SV1501: $i,SV389: $i,SV1288: $i,SV899: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV899 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1288 ) @ ( c_Message_Omsg_OAgent @ SV389 ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1501 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV899 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1501 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV389 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV389 ) @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__XB__trusts__NS3__1 @ SV389 @ SV899 @ SV1288 @ SV1501 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV899 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1288 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV899 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1288 ) @ ( c_Message_Omsg_OAgent @ SV389 ) ) ) ) ) ) ) ) @ ( c_List_Oset @ SV1501 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4476]) ).
thf(4538,plain,
! [SV391: $i,SV1290: $i,SV901: $i,SV1623: $i,SV1502: $i,SV1584: $i] :
( ( ( hBOOL @ ( c_in @ SV1584 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( ( hBOOL @ ( c_in @ SV1502 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1502 ) @ ( c_Message_Omsg_OMPair @ SV1623 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV901 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1290 ) @ SV391 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1584 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( SV391
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV901 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1290 ) @ ( c_Message_Omsg_OAgent @ SV1502 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4477]) ).
thf(4539,plain,
! [SV1671: $i,SV1664: $i,SV1650: $i,SV1624: $i,SV1585: $i,SV1503: $i,SV1291: $i,SV902: $i,SV392: $i] :
( ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV392 @ SV902 @ ( c_Message_Omsg_OCrypt @ SV1291 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1503 ) @ ( c_Message_Omsg_ONonce @ SV1503 ) ) ) ) @ SV1585 @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1624 @ SV392 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV392 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1650 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV902 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1291 ) @ SV1664 ) ) ) ) ) @ ( c_List_Oset @ SV1585 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1671 @ SV392 @ ( c_Message_Omsg_OCrypt @ SV1291 @ ( c_Message_Omsg_ONonce @ SV1503 ) ) ) @ ( c_List_Oset @ SV1585 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1291 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1585 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4478]) ).
thf(4540,plain,
! [SV1651: $i,SV1625: $i,SV1586: $i,SV1504: $i,SV1292: $i,SV903: $i,SV393: $i] :
( ( ( hBOOL @ ( c_in @ SV393 @ ( 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 @ SV903 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1292 @ ( c_Message_Omsg_OCrypt @ SV1504 @ ( c_Message_Omsg_OMPair @ SV1586 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1625 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV393 ) @ SV1651 ) ) ) ) ) @ ( c_List_Oset @ SV903 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4479]) ).
thf(4541,plain,
! [SV1505: $i,SV1587: $i,SV904: $i,SV1293: $i,SV394: $i,SV1626: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1626 @ SV394 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV394 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1293 ) @ ( c_Message_Omsg_OAgent @ SV904 ) ) ) ) @ ( c_List_Oset @ SV1587 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV1293 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1505 ) @ ( c_Event_Oused @ SV1587 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1587 ) ) )
= $true )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV394 @ SV904 @ ( c_Message_Omsg_OCrypt @ SV1293 @ ( c_Message_Omsg_ONonce @ SV1505 ) ) ) @ SV1587 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4480]) ).
thf(4542,plain,
! [SV905: $i,SV1506: $i,SV1652: $i,SV1294: $i,SV1627: $i,SV395: $i,SV1588: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1588 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1588 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV395 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1627 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1294 ) @ SV1652 ) ) ) ) ) @ ( c_List_Oset @ SV1506 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1627 @ SV1588 @ ( c_Message_Omsg_OCrypt @ SV1294 @ ( c_Message_Omsg_ONonce @ SV905 ) ) ) @ ( c_List_Oset @ SV1506 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1506 @ 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 @ SV395 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV905 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV1294 ) ) ) ) @ SV1506 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4481]) ).
thf(4543,plain,
! [SV1507: $i,SV1589: $i,SV906: $i,SV1295: $i,SV396: $i,SV1628: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1628 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV396 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1295 ) @ ( c_Message_Omsg_ONonce @ SV906 ) ) ) ) @ ( c_List_Oset @ SV1589 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV1507 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1507 ) @ ( c_Event_Oused @ SV1589 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1589 ) ) )
= $true )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV396 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV396 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV906 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1295 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1507 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1295 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1507 ) @ ( c_Message_Omsg_OAgent @ SV396 ) ) ) ) ) ) ) ) @ SV1589 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4482]) ).
thf(4544,plain,
! [SV1590: $i,SV1508: $i,SV1296: $i,SV907: $i,SV397: $i,SV1629: $i] :
( ( ( hBOOL @ ( c_in @ SV1629 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( ( hBOOL @ ( c_in @ SV397 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV397 ) @ ( c_Message_Omsg_OMPair @ SV907 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1296 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1508 ) @ SV1590 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1629 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV397 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV397 ) @ ( c_Message_Omsg_OMPair @ SV907 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1296 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1508 ) @ SV1590 ) ) ) ) ) @ ( c_List_Oset @ SV1629 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4483]) ).
thf(4545,plain,
! [SV398: $i,SV1653: $i,SV1630: $i,SV1591: $i,SV1509: $i,SV908: $i,SV1297: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV1297 @ ( 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 @ SV908 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1509 @ SV1591 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1591 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1630 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1653 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1297 ) @ SV398 ) ) ) ) ) @ ( c_List_Oset @ SV908 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV398 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV908 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4484]) ).
thf(4546,plain,
! [SV1299: $i,SV1654: $i,SV1631: $i,SV1511: $i,SV1592: $i,SV911: $i,SV401: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV401 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV401 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV911 ) @ ( c_Message_Omsg_ONonce @ SV1592 ) ) ) ) @ ( c_List_Oset @ SV1511 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1631 @ SV401 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV401 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1592 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV911 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1654 ) @ SV1299 ) ) ) ) ) @ ( c_List_Oset @ SV1511 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV401 = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_in @ SV1511 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV401 @ SV911 @ SV1299 ) @ SV1511 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4486]) ).
thf(4547,plain,
! [SV1672: $i,SV1665: $i,SV1655: $i,SV1632: $i,SV1593: $i,SV1512: $i,SV1300: $i,SV912: $i,SV402: $i] :
( ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV402 @ SV912 @ ( c_Message_Omsg_OCrypt @ SV1300 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1512 ) @ ( c_Message_Omsg_ONonce @ SV1512 ) ) ) ) @ SV1593 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1632 @ SV402 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV402 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1655 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV912 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1300 ) @ SV1665 ) ) ) ) ) @ ( c_List_Oset @ SV1593 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1672 @ SV402 @ ( c_Message_Omsg_OCrypt @ SV1300 @ ( c_Message_Omsg_ONonce @ SV1512 ) ) ) @ ( c_List_Oset @ SV1593 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1300 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV1593 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4487]) ).
thf(4548,plain,
! [SV1513: $i,SV1594: $i,SV913: $i,SV1301: $i,SV403: $i,SV1633: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1633 @ SV403 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV403 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1301 ) @ ( c_Message_Omsg_OAgent @ SV913 ) ) ) ) @ ( c_List_Oset @ SV1594 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV1301 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1513 ) @ ( c_Event_Oused @ SV1594 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1594 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV403 @ SV913 @ ( c_Message_Omsg_OCrypt @ SV1301 @ ( c_Message_Omsg_ONonce @ SV1513 ) ) ) @ SV1594 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4488]) ).
thf(4549,plain,
! [SV1514: $i,SV1595: $i,SV914: $i,SV1302: $i,SV404: $i,SV1634: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1634 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV404 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1302 ) @ ( c_Message_Omsg_ONonce @ SV914 ) ) ) ) @ ( c_List_Oset @ SV1595 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV1514 @ c_Message_OsymKeys @ tc_nat ) )
| ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1514 ) @ ( c_Event_Oused @ SV1595 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1595 @ 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 @ SV404 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV404 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV914 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1302 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1514 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1302 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1514 ) @ ( c_Message_Omsg_OAgent @ SV404 ) ) ) ) ) ) ) ) @ SV1595 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4489]) ).
thf(4550,plain,
! [SV922: $i,SV415: $i,SV1310: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ SV1310 @ SV415 ) @ ( c_Message_Oanalz @ SV922 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV1310 @ c_Message_OsymKeys @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1310 ) @ ( c_Message_Oanalz @ SV922 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV415 @ ( c_Message_Oanalz @ SV922 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4490]) ).
thf(4551,plain,
! [SV1666: $i,SV1656: $i,SV1635: $i,SV1596: $i,SV1518: $i,SV1313: $i,SV928: $i,SV421: $i] :
( ( ( hBOOL @ ( c_in @ SV421 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV928 ) ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1313 @ SV1518 @ ( c_Message_Omsg_OCrypt @ SV1596 @ ( c_Message_Omsg_OMPair @ SV1635 @ ( c_Message_Omsg_OMPair @ SV1656 @ ( c_Message_Omsg_OMPair @ SV1666 @ SV421 ) ) ) ) ) @ ( c_List_Oset @ SV928 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4491]) ).
thf(4552,plain,
! [SV1657: $i,SV1636: $i,SV1597: $i,SV1519: $i,SV424: $i,SV929: $i,SV1314: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV1314 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV929 @ ( c_Message_Omsg_OCrypt @ SV424 @ ( c_Message_Omsg_OMPair @ SV1519 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1597 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1636 ) @ SV1657 ) ) ) ) ) @ ( c_List_Oset @ SV1314 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( SV424
= ( hAPP @ c_Public_OshrK @ SV929 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4492]) ).
thf(4553,plain,
! [SV1673: $i,SV1667: $i,SV1658: $i,SV1637: $i,SV1598: $i,SV1521: $i,SV1318: $i,SV934: $i,SV429: $i] :
( ( ! [SY3977: $i] :
( ( SV429 = SV934 )
| ~ ( hBOOL @ ( c_in @ SV1318 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV934 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV934 ) @ ( c_Message_Omsg_OMPair @ SV1521 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1598 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1637 ) @ SV1658 ) ) ) ) ) @ ( c_List_Oset @ SV1318 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV429 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV429 ) @ ( c_Message_Omsg_OMPair @ SV1667 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1673 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1637 ) @ SY3977 ) ) ) ) ) @ ( c_List_Oset @ SV1318 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4493]) ).
thf(4554,plain,
! [SV1674: $i,SV1668: $i,SV1659: $i,SV1638: $i,SV1599: $i,SV1522: $i,SV1319: $i,SV935: $i,SV430: $i] :
( ( ! [SY3978: $i] :
( ( SV430 = SV935 )
| ~ ( hBOOL @ ( c_in @ SV1319 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1522 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1522 ) @ ( c_Message_Omsg_OMPair @ SV935 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1599 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1638 ) @ SV1659 ) ) ) ) ) @ ( c_List_Oset @ SV1319 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1668 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1668 ) @ ( c_Message_Omsg_OMPair @ SV430 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1674 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1638 ) @ SY3978 ) ) ) ) ) @ ( c_List_Oset @ SV1319 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4494]) ).
thf(4555,plain,
! [SV1675: $i,SV1669: $i,SV1660: $i,SV1639: $i,SV1600: $i,SV1523: $i,SV1320: $i,SV936: $i,SV431: $i] :
( ( ! [SY3979: $i] :
( ( SV431 = SV936 )
| ~ ( hBOOL @ ( c_in @ SV1320 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1523 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1523 ) @ ( c_Message_Omsg_OMPair @ SV1600 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV936 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1639 ) @ SV1660 ) ) ) ) ) @ ( c_List_Oset @ SV1320 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1669 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1669 ) @ ( c_Message_Omsg_OMPair @ SV1675 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV431 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1639 ) @ SY3979 ) ) ) ) ) @ ( c_List_Oset @ SV1320 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4495]) ).
thf(4556,plain,
! [SV1676: $i,SV1670: $i,SV1661: $i,SV1640: $i,SV1601: $i,SV1524: $i,SV1321: $i,SV937: $i,SV432: $i] :
( ( ! [SY3980: $i] :
( ( SV432 = SV937 )
| ~ ( hBOOL @ ( c_in @ SV1321 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1524 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1524 ) @ ( c_Message_Omsg_OMPair @ SV1601 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1640 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1661 ) @ SV937 ) ) ) ) ) @ ( c_List_Oset @ SV1321 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1670 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1670 ) @ ( c_Message_Omsg_OMPair @ SV1676 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SY3980 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1661 ) @ SV432 ) ) ) ) ) @ ( c_List_Oset @ SV1321 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4496]) ).
thf(4557,plain,
! [SV1662: $i,SV1642: $i,SV944: $i,SV1603: $i,SV1527: $i,SV1326: $i,SV439: $i] :
( ( ( SV439
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1326 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1527 ) @ ( c_Message_Omsg_OAgent @ SV1603 ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV944 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1642 @ SV1603 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1603 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1662 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1326 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1527 ) @ SV439 ) ) ) ) ) @ ( c_List_Oset @ SV944 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV439 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV944 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4498]) ).
thf(4558,plain,
! [SV440: $i,SV1327: $i,SV945: $i,SV1663: $i,SV1643: $i,SV1528: $i,SV1604: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV1604 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1528 @ ( c_Message_Omsg_OCrypt @ SV1643 @ ( c_Message_Omsg_OMPair @ SV1663 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV945 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1327 ) @ SV440 ) ) ) ) ) @ ( c_List_Oset @ SV1604 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( SV440
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV945 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1327 ) @ ( c_Message_Omsg_OAgent @ SV1528 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4499]) ).
thf(4559,plain,
! [SV1082: $i,SV71: $i,SV1411: $i,SV605: $i] :
( ( ( c_lessequals @ SV605 @ SV1411 @ SV71 )
= $false )
| ( ( c_lessequals @ SV1082 @ SV1411 @ SV71 )
= $false )
| ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV605 @ SV1082 @ SV71 ) @ SV1411 @ SV71 )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV71 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4509]) ).
thf(4560,plain,
! [SV1085: $i,SV74: $i,SV1412: $i,SV608: $i] :
( ( ( c_lessequals @ SV608 @ SV1412 @ SV74 )
= $false )
| ( ( c_lessequals @ SV1085 @ SV1412 @ SV74 )
= $false )
| ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV608 @ SV1085 @ SV74 ) @ SV1412 @ SV74 )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV74 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4510]) ).
thf(4561,plain,
! [SV1086: $i,SV75: $i,SV1413: $i,SV609: $i] :
( ( ( c_lessequals @ SV609 @ SV1413 @ SV75 )
= $false )
| ( ( c_lessequals @ SV1086 @ SV1413 @ SV75 )
= $false )
| ( ( c_lessequals @ ( c_Lattices_Oupper__semilattice__class_Osup @ SV609 @ SV1086 @ SV75 ) @ SV1413 @ SV75 )
= $true )
| ( ( class_Lattices_Oupper__semilattice @ SV75 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4511]) ).
thf(4562,plain,
! [SV119: $i,SV1117: $i,SV650: $i] :
( ( ( hBOOL @ ( c_in @ SV650 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( c_lessequals @ SV1117 @ ( 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 @ SV119 ) @ ( c_Message_Oanalz @ ( c_Lattices_Oupper__semilattice__class_Osup @ ( c_Set_Oimage @ c_Message_Omsg_OKey @ SV1117 @ tc_nat @ tc_Message_Omsg ) @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV650 ) @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV119 @ SV1117 @ tc_nat ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV119 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV650 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4514]) ).
thf(4563,plain,
! [SV1435: $i,SV167: $i,SV1142: $i,SV692: $i] :
( ( ( c_lessequals @ SV692 @ SV1142 @ SV167 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV1142 @ SV1435 @ SV167 ) @ SV167 )
= $false )
| ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV692 @ ( c_List_Olist_OCons @ SV1142 @ SV1435 @ SV167 ) @ SV167 ) @ SV167 )
= $true )
| ( ( class_Orderings_Olinorder @ SV167 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4517]) ).
thf(4564,plain,
! [SV1163: $i,SV222: $i,SV1439: $i,SV736: $i] :
( ( ( c_List_Olinorder__class_Osorted @ ( c_List_Olist_OCons @ SV736 @ SV1439 @ SV222 ) @ SV222 )
= $false )
| ( ( hBOOL @ ( c_in @ SV1163 @ ( c_List_Oset @ SV1439 @ SV222 ) @ SV222 ) )
= $false )
| ( ( c_lessequals @ SV736 @ SV1163 @ SV222 )
= $true )
| ( ( class_Orderings_Olinorder @ SV222 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4520]) ).
thf(4565,plain,
! [SV231: $i,SV1172: $i,SV1440: $i,SV745: $i] :
( ( ( hBOOL @ ( c_in @ SV745 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1440 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( c_lessequals @ SV1440 @ SV1172 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV231 ) @ ( c_Message_Oanalz @ SV1172 ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV231 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV745 @ SV1172 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4522]) ).
thf(4566,plain,
! [SV232: $i,SV746: $i,SV1441: $i,SV1173: $i] :
( ( ( hBOOL @ ( c_in @ SV1173 @ ( c_Message_Osynth @ ( c_Message_Oanalz @ SV1441 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( c_lessequals @ SV1441 @ SV746 @ ( tc_fun @ tc_Message_Omsg @ tc_bool ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV232 ) @ ( c_Message_Oanalz @ ( c_Set_Oinsert @ SV1173 @ SV746 @ tc_Message_Omsg ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV232 ) @ ( c_Message_Oanalz @ SV746 ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4523]) ).
thf(4567,plain,
! [SV1647: $i,SV1618: $i,SV302: $i,SV1569: $i,SV1467: $i,SV1228: $i,SV816: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV816 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ SV1228 @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ SV1467 @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SV1569 @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1 @ SV302 @ SV1569 @ SV816 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV302 ) ) ) ) @ ( c_List_Oset @ SV816 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1467 @ ( c_Message_Omsg_OCrypt @ SV1618 @ ( c_Message_Omsg_OMPair @ SV1569 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1228 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV302 ) @ SV1647 ) ) ) ) ) @ ( c_List_Oset @ SV816 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV302 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV816 ) ) @ tc_Message_Omsg ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4525]) ).
thf(4568,plain,
! [SV303: $i,SV1229: $i,SV1570: $i,SV1468: $i,SV817: $i] :
( ( ( hBOOL @ ( c_in @ SV817 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( ( hBOOL @ ( c_in @ SV1468 @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ SV1570 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1570 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1570 ) @ ( c_Message_Omsg_OMPair @ SV1229 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1468 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1468 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) @ ( c_Message_Omsg_OAgent @ SV1570 ) ) ) ) ) ) ) ) @ ( c_List_Oset @ SV817 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SV1229 @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1 @ SV303 @ SV1229 @ SV817 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) ) ) ) @ ( c_List_Oset @ SV817 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV817 ) ) @ tc_Message_Omsg ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4526]) ).
thf(4569,plain,
! [SV820: $i,SV1469: $i,SV1648: $i,SV1231: $i,SV1619: $i,SV306: $i,SV1571: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1571 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1571 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV306 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1619 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1231 ) @ SV1648 ) ) ) ) ) @ ( c_List_Oset @ SV1469 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1619 @ SV1571 @ ( c_Message_Omsg_OCrypt @ SV1231 @ ( c_Message_Omsg_ONonce @ SV820 ) ) ) @ ( c_List_Oset @ SV1469 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1469 ) ) )
= $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 @ SV306 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV820 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV1231 ) ) ) ) @ SV1469 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4527]) ).
thf(4570,plain,
! [SV1620: $i,SV308: $i,SV1572: $i,SV1471: $i,SV1233: $i,SV822: $i] :
( ( ( hBOOL @ ( c_in @ SV822 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( ( hBOOL @ ( c_in @ SV1233 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1233 ) @ ( c_Message_Omsg_OMPair @ SV1471 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1572 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV308 ) @ SV1620 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV822 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV308 @ ( 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)],[4528]) ).
thf(4571,plain,
! [SV861: $i,SV1260: $i,SV1488: $i,SV1621: $i,SV1579: $i,SV350: $i] :
( ( ( c_lessequals @ ( c_Set_Oimage @ SV350 @ SV1579 @ SV1621 @ SV1488 ) @ SV1260 @ ( tc_fun @ SV1488 @ tc_bool ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV861 @ SV1579 @ SV1621 ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ SV350 @ SV861 ) @ SV1260 @ SV1488 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4530]) ).
thf(4572,plain,
! [SV875: $i,SV364: $i,SV1271: $i,SV1491: $i] :
( ( ( c_lessequals @ SV1491 @ SV1271 @ SV364 )
= $false )
| ( ( c_lessequals @ SV875 @ SV1491 @ SV364 )
= $false )
| ( ( c_lessequals @ SV875 @ SV1271 @ SV364 )
= $true )
| ( ( class_Orderings_Oorder @ SV364 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4534]) ).
thf(4573,plain,
! [SV1272: $i,SV365: $i,SV1492: $i,SV876: $i] :
( ( ( c_lessequals @ SV876 @ SV1492 @ SV365 )
= $false )
| ( ( c_lessequals @ SV1492 @ SV1272 @ SV365 )
= $false )
| ( ( c_lessequals @ SV876 @ SV1272 @ SV365 )
= $true )
| ( ( class_Orderings_Opreorder @ SV365 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4535]) ).
thf(4574,plain,
! [SV1287: $i,SV1649: $i,SV1622: $i,SV1500: $i,SV1583: $i,SV898: $i,SV388: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV388 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV388 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV898 ) @ ( c_Message_Omsg_ONonce @ SV1583 ) ) ) ) @ ( c_List_Oset @ SV1500 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1622 @ SV388 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV388 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1583 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV898 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1649 ) @ SV1287 ) ) ) ) ) @ ( c_List_Oset @ SV1500 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV388 = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1500 ) ) )
= $true )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV388 @ SV898 @ SV1287 ) @ SV1500 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4536]) ).
thf(4575,plain,
! [SV1584: $i,SV391: $i,SV1290: $i,SV901: $i,SV1623: $i,SV1502: $i] :
( ( ( hBOOL @ ( c_in @ SV1502 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1502 ) @ ( c_Message_Omsg_OMPair @ SV1623 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV901 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1290 ) @ SV391 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1584 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1584 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( SV391
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV901 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1290 ) @ ( c_Message_Omsg_OAgent @ SV1502 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4538]) ).
thf(4576,plain,
! [SV1671: $i,SV1664: $i,SV1650: $i,SV1624: $i,SV1585: $i,SV1503: $i,SV1291: $i,SV902: $i,SV392: $i] :
( ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV392 @ SV902 @ ( c_Message_Omsg_OCrypt @ SV1291 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1503 ) @ ( c_Message_Omsg_ONonce @ SV1503 ) ) ) ) @ SV1585 @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1624 @ SV392 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV392 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1650 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV902 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1291 ) @ SV1664 ) ) ) ) ) @ ( c_List_Oset @ SV1585 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1671 @ SV392 @ ( c_Message_Omsg_OCrypt @ SV1291 @ ( c_Message_Omsg_ONonce @ SV1503 ) ) ) @ ( c_List_Oset @ SV1585 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1291 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1585 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4539]) ).
thf(4577,plain,
! [SV1651: $i,SV393: $i,SV1625: $i,SV1586: $i,SV1504: $i,SV1292: $i,SV903: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV903 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1292 @ ( c_Message_Omsg_OCrypt @ SV1504 @ ( c_Message_Omsg_OMPair @ SV1586 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1625 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV393 ) @ SV1651 ) ) ) ) ) @ ( c_List_Oset @ SV903 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV393 @ ( 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)],[4540]) ).
thf(4578,plain,
! [SV904: $i,SV394: $i,SV1626: $i,SV1587: $i,SV1505: $i,SV1293: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV1293 @ c_Message_OsymKeys @ tc_nat ) ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1505 ) @ ( c_Event_Oused @ SV1587 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1587 ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1626 @ SV394 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV394 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1293 ) @ ( c_Message_Omsg_OAgent @ SV904 ) ) ) ) @ ( c_List_Oset @ SV1587 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV394 @ SV904 @ ( c_Message_Omsg_OCrypt @ SV1293 @ ( c_Message_Omsg_ONonce @ SV1505 ) ) ) @ SV1587 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4541]) ).
thf(4579,plain,
! [SV905: $i,SV1506: $i,SV1652: $i,SV1294: $i,SV1627: $i,SV395: $i,SV1588: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1588 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1588 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV395 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1627 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1294 ) @ SV1652 ) ) ) ) ) @ ( c_List_Oset @ SV1506 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1627 @ SV1588 @ ( c_Message_Omsg_OCrypt @ SV1294 @ ( c_Message_Omsg_ONonce @ SV905 ) ) ) @ ( c_List_Oset @ SV1506 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1506 @ 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 @ SV395 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV905 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV1294 ) ) ) ) @ SV1506 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4542]) ).
thf(4580,plain,
! [SV906: $i,SV1295: $i,SV396: $i,SV1628: $i,SV1589: $i,SV1507: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV1507 @ c_Message_OsymKeys @ tc_nat ) ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1507 ) @ ( c_Event_Oused @ SV1589 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1589 ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1628 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV396 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1295 ) @ ( c_Message_Omsg_ONonce @ SV906 ) ) ) ) @ ( c_List_Oset @ SV1589 @ 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 @ SV396 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV396 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV906 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1295 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1507 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1295 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1507 ) @ ( c_Message_Omsg_OAgent @ SV396 ) ) ) ) ) ) ) ) @ SV1589 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4543]) ).
thf(4581,plain,
! [SV1629: $i,SV1590: $i,SV1508: $i,SV1296: $i,SV907: $i,SV397: $i] :
( ( ( hBOOL @ ( c_in @ SV397 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV397 ) @ ( c_Message_Omsg_OMPair @ SV907 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1296 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1508 ) @ SV1590 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1629 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1629 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV397 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV397 ) @ ( c_Message_Omsg_OMPair @ SV907 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1296 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1508 ) @ SV1590 ) ) ) ) ) @ ( c_List_Oset @ SV1629 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4544]) ).
thf(4582,plain,
! [SV398: $i,SV1653: $i,SV1630: $i,SV1591: $i,SV1509: $i,SV908: $i,SV1297: $i] :
( ( ( hBOOL @ ( c_in @ SV1297 @ ( 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 @ SV908 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1509 @ SV1591 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1591 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1630 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1653 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1297 ) @ SV398 ) ) ) ) ) @ ( c_List_Oset @ SV908 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV398 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV908 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4545]) ).
thf(4583,plain,
! [SV1299: $i,SV1654: $i,SV1631: $i,SV1511: $i,SV1592: $i,SV911: $i,SV401: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV401 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV401 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV911 ) @ ( c_Message_Omsg_ONonce @ SV1592 ) ) ) ) @ ( c_List_Oset @ SV1511 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1631 @ SV401 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV401 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1592 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV911 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1654 ) @ SV1299 ) ) ) ) ) @ ( c_List_Oset @ SV1511 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ( SV401 = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_in @ SV1511 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV401 @ SV911 @ SV1299 ) @ SV1511 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4546]) ).
thf(4584,plain,
! [SV1672: $i,SV1665: $i,SV1655: $i,SV1632: $i,SV1593: $i,SV1512: $i,SV1300: $i,SV912: $i,SV402: $i] :
( ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV402 @ SV912 @ ( c_Message_Omsg_OCrypt @ SV1300 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1512 ) @ ( c_Message_Omsg_ONonce @ SV1512 ) ) ) ) @ SV1593 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1632 @ SV402 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV402 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1655 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV912 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1300 ) @ SV1665 ) ) ) ) ) @ ( c_List_Oset @ SV1593 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1672 @ SV402 @ ( c_Message_Omsg_OCrypt @ SV1300 @ ( c_Message_Omsg_ONonce @ SV1512 ) ) ) @ ( c_List_Oset @ SV1593 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1300 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV1593 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4547]) ).
thf(4585,plain,
! [SV913: $i,SV403: $i,SV1633: $i,SV1594: $i,SV1513: $i,SV1301: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV1301 @ c_Message_OsymKeys @ tc_nat ) ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1513 ) @ ( c_Event_Oused @ SV1594 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1594 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1633 @ SV403 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV403 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1301 ) @ ( c_Message_Omsg_OAgent @ SV913 ) ) ) ) @ ( c_List_Oset @ SV1594 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV403 @ SV913 @ ( c_Message_Omsg_OCrypt @ SV1301 @ ( c_Message_Omsg_ONonce @ SV1513 ) ) ) @ SV1594 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4548]) ).
thf(4586,plain,
! [SV914: $i,SV1302: $i,SV404: $i,SV1634: $i,SV1595: $i,SV1514: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV1514 @ c_Message_OsymKeys @ tc_nat ) ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1514 ) @ ( c_Event_Oused @ SV1595 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1595 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1634 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV404 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1302 ) @ ( c_Message_Omsg_ONonce @ SV914 ) ) ) ) @ ( c_List_Oset @ SV1595 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV404 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV404 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV914 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1302 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1514 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1302 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1514 ) @ ( c_Message_Omsg_OAgent @ SV404 ) ) ) ) ) ) ) ) @ SV1595 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4549]) ).
thf(4587,plain,
! [SV928: $i,SV421: $i,SV1666: $i,SV1656: $i,SV1635: $i,SV1596: $i,SV1518: $i,SV1313: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1313 @ SV1518 @ ( c_Message_Omsg_OCrypt @ SV1596 @ ( c_Message_Omsg_OMPair @ SV1635 @ ( c_Message_Omsg_OMPair @ SV1656 @ ( c_Message_Omsg_OMPair @ SV1666 @ SV421 ) ) ) ) ) @ ( c_List_Oset @ SV928 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV421 @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV928 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4551]) ).
thf(4588,plain,
! [SV1657: $i,SV1636: $i,SV1597: $i,SV1519: $i,SV424: $i,SV929: $i,SV1314: $i] :
( ( ( hBOOL @ ( c_in @ SV1314 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV929 @ ( c_Message_Omsg_OCrypt @ SV424 @ ( c_Message_Omsg_OMPair @ SV1519 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1597 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1636 ) @ SV1657 ) ) ) ) ) @ ( c_List_Oset @ SV1314 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( SV424
= ( hAPP @ c_Public_OshrK @ SV929 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4552]) ).
thf(4589,plain,
! [SV1677: $i,SV1673: $i,SV1667: $i,SV1658: $i,SV1637: $i,SV1598: $i,SV1521: $i,SV1318: $i,SV934: $i,SV429: $i] :
( ( ( SV429 = SV934 )
| ~ ( hBOOL @ ( c_in @ SV1318 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV934 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV934 ) @ ( c_Message_Omsg_OMPair @ SV1521 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1598 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1637 ) @ SV1658 ) ) ) ) ) @ ( c_List_Oset @ SV1318 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV429 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV429 ) @ ( c_Message_Omsg_OMPair @ SV1667 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1673 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1637 ) @ SV1677 ) ) ) ) ) @ ( c_List_Oset @ SV1318 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4553]) ).
thf(4590,plain,
! [SV1678: $i,SV1674: $i,SV1668: $i,SV1659: $i,SV1638: $i,SV1599: $i,SV1522: $i,SV1319: $i,SV935: $i,SV430: $i] :
( ( ( SV430 = SV935 )
| ~ ( hBOOL @ ( c_in @ SV1319 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1522 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1522 ) @ ( c_Message_Omsg_OMPair @ SV935 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1599 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1638 ) @ SV1659 ) ) ) ) ) @ ( c_List_Oset @ SV1319 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1668 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1668 ) @ ( c_Message_Omsg_OMPair @ SV430 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1674 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1638 ) @ SV1678 ) ) ) ) ) @ ( c_List_Oset @ SV1319 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4554]) ).
thf(4591,plain,
! [SV1679: $i,SV1675: $i,SV1669: $i,SV1660: $i,SV1639: $i,SV1600: $i,SV1523: $i,SV1320: $i,SV936: $i,SV431: $i] :
( ( ( SV431 = SV936 )
| ~ ( hBOOL @ ( c_in @ SV1320 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1523 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1523 ) @ ( c_Message_Omsg_OMPair @ SV1600 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV936 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1639 ) @ SV1660 ) ) ) ) ) @ ( c_List_Oset @ SV1320 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1669 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1669 ) @ ( c_Message_Omsg_OMPair @ SV1675 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV431 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1639 ) @ SV1679 ) ) ) ) ) @ ( c_List_Oset @ SV1320 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4555]) ).
thf(4592,plain,
! [SV1680: $i,SV1676: $i,SV1670: $i,SV1661: $i,SV1640: $i,SV1601: $i,SV1524: $i,SV1321: $i,SV937: $i,SV432: $i] :
( ( ( SV432 = SV937 )
| ~ ( hBOOL @ ( c_in @ SV1321 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1524 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1524 ) @ ( c_Message_Omsg_OMPair @ SV1601 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1640 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1661 ) @ SV937 ) ) ) ) ) @ ( c_List_Oset @ SV1321 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1670 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1670 ) @ ( c_Message_Omsg_OMPair @ SV1676 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1680 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1661 ) @ SV432 ) ) ) ) ) @ ( c_List_Oset @ SV1321 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[4556]) ).
thf(4593,plain,
! [SV439: $i,SV1527: $i,SV1326: $i,SV1662: $i,SV1603: $i,SV1642: $i,SV944: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV944 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1642 @ SV1603 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1603 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1662 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1326 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1527 ) @ SV439 ) ) ) ) ) @ ( c_List_Oset @ SV944 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( SV439
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1326 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1527 ) @ ( c_Message_Omsg_OAgent @ SV1603 ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV439 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV944 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4557]) ).
thf(4594,plain,
! [SV440: $i,SV1327: $i,SV945: $i,SV1663: $i,SV1643: $i,SV1528: $i,SV1604: $i] :
( ( ( hBOOL @ ( c_in @ SV1604 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1528 @ ( c_Message_Omsg_OCrypt @ SV1643 @ ( c_Message_Omsg_OMPair @ SV1663 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV945 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1327 ) @ SV440 ) ) ) ) ) @ ( c_List_Oset @ SV1604 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( SV440
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV945 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1327 ) @ ( c_Message_Omsg_OAgent @ SV1528 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4558]) ).
thf(4595,plain,
! [SV1647: $i,SV1618: $i,SV302: $i,SV1569: $i,SV1467: $i,SV1228: $i,SV816: $i] :
( ( ( hBOOL @ ( c_in @ SV816 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( ( hBOOL @ ( c_in @ SV1228 @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ SV1467 @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SV1569 @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1 @ SV302 @ SV1569 @ SV816 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV302 ) ) ) ) @ ( c_List_Oset @ SV816 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1467 @ ( c_Message_Omsg_OCrypt @ SV1618 @ ( c_Message_Omsg_OMPair @ SV1569 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1228 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV302 ) @ SV1647 ) ) ) ) ) @ ( c_List_Oset @ SV816 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV302 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV816 ) ) @ tc_Message_Omsg ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4567]) ).
thf(4596,plain,
! [SV817: $i,SV303: $i,SV1229: $i,SV1570: $i,SV1468: $i] :
( ( ( hBOOL @ ( c_in @ SV1468 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ SV1570 @ c_Event_Obad @ tc_Message_Oagent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1570 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1570 ) @ ( c_Message_Omsg_OMPair @ SV1229 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1468 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1468 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) @ ( c_Message_Omsg_OAgent @ SV1570 ) ) ) ) ) ) ) ) @ ( c_List_Oset @ SV817 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV817 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SV1229 @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1 @ SV303 @ SV1229 @ SV817 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) ) ) ) @ ( c_List_Oset @ SV817 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV817 ) ) @ tc_Message_Omsg ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4568]) ).
thf(4597,plain,
! [SV1648: $i,SV306: $i,SV1469: $i,SV820: $i,SV1231: $i,SV1571: $i,SV1619: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1619 @ SV1571 @ ( c_Message_Omsg_OCrypt @ SV1231 @ ( c_Message_Omsg_ONonce @ SV820 ) ) ) @ ( c_List_Oset @ SV1469 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1469 ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1571 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1571 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV306 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1619 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1231 ) @ SV1648 ) ) ) ) ) @ ( c_List_Oset @ SV1469 @ 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 @ SV306 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV820 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV1231 ) ) ) ) @ SV1469 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4569]) ).
thf(4598,plain,
! [SV822: $i,SV1620: $i,SV308: $i,SV1572: $i,SV1471: $i,SV1233: $i] :
( ( ( hBOOL @ ( c_in @ SV1233 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1233 ) @ ( c_Message_Omsg_OMPair @ SV1471 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1572 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV308 ) @ SV1620 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV822 ) ) @ tc_Message_Omsg ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV822 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV308 @ ( 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)],[4570]) ).
thf(4599,plain,
! [SV1500: $i,SV1287: $i,SV1649: $i,SV898: $i,SV1583: $i,SV388: $i,SV1622: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1622 @ SV388 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV388 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1583 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV898 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1649 ) @ SV1287 ) ) ) ) ) @ ( c_List_Oset @ SV1500 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( ( SV388 = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1500 ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV388 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV388 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV898 ) @ ( c_Message_Omsg_ONonce @ SV1583 ) ) ) ) @ ( c_List_Oset @ SV1500 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV388 @ SV898 @ SV1287 ) @ SV1500 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4574]) ).
thf(4600,plain,
! [SV1584: $i,SV391: $i,SV1290: $i,SV901: $i,SV1623: $i,SV1502: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1502 ) @ ( c_Message_Omsg_OMPair @ SV1623 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV901 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1290 ) @ SV391 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1584 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV1502 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1584 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( SV391
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV901 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1290 ) @ ( c_Message_Omsg_OAgent @ SV1502 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4575]) ).
thf(4601,plain,
! [SV1503: $i,SV1671: $i,SV1585: $i,SV1664: $i,SV1291: $i,SV902: $i,SV1650: $i,SV392: $i,SV1624: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1624 @ SV392 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV392 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1650 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV902 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1291 ) @ SV1664 ) ) ) ) ) @ ( c_List_Oset @ SV1585 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1671 @ SV392 @ ( c_Message_Omsg_OCrypt @ SV1291 @ ( c_Message_Omsg_ONonce @ SV1503 ) ) ) @ ( c_List_Oset @ SV1585 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1291 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1585 ) ) )
= $true )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV392 @ SV902 @ ( c_Message_Omsg_OCrypt @ SV1291 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1503 ) @ ( c_Message_Omsg_ONonce @ SV1503 ) ) ) ) @ SV1585 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4576]) ).
thf(4602,plain,
! [SV1651: $i,SV393: $i,SV1625: $i,SV1586: $i,SV1504: $i,SV1292: $i,SV903: $i] :
( ( ( hBOOL @ ( c_in @ SV903 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1292 @ ( c_Message_Omsg_OCrypt @ SV1504 @ ( c_Message_Omsg_OMPair @ SV1586 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1625 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV393 ) @ SV1651 ) ) ) ) ) @ ( c_List_Oset @ SV903 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV393 @ ( 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)],[4577]) ).
thf(4603,plain,
! [SV904: $i,SV394: $i,SV1626: $i,SV1587: $i,SV1505: $i,SV1293: $i] :
( ( ( hBOOL @ ( c_in @ SV1293 @ c_Message_OsymKeys @ tc_nat ) )
= $false )
| ( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1505 ) @ ( c_Event_Oused @ SV1587 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1587 ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1626 @ SV394 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV394 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1293 ) @ ( c_Message_Omsg_OAgent @ SV904 ) ) ) ) @ ( c_List_Oset @ SV1587 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV394 @ SV904 @ ( c_Message_Omsg_OCrypt @ SV1293 @ ( c_Message_Omsg_ONonce @ SV1505 ) ) ) @ SV1587 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4578]) ).
thf(4604,plain,
! [SV1652: $i,SV395: $i,SV1506: $i,SV905: $i,SV1294: $i,SV1588: $i,SV1627: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1627 @ SV1588 @ ( c_Message_Omsg_OCrypt @ SV1294 @ ( c_Message_Omsg_ONonce @ SV905 ) ) ) @ ( c_List_Oset @ SV1506 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1506 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1588 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1588 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV395 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1627 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1294 ) @ SV1652 ) ) ) ) ) @ ( c_List_Oset @ SV1506 @ 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 @ SV395 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV905 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV1294 ) ) ) ) @ SV1506 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4579]) ).
thf(4605,plain,
! [SV906: $i,SV1295: $i,SV396: $i,SV1628: $i,SV1589: $i,SV1507: $i] :
( ( ( hBOOL @ ( c_in @ SV1507 @ c_Message_OsymKeys @ tc_nat ) )
= $false )
| ( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1507 ) @ ( c_Event_Oused @ SV1589 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1589 ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1628 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV396 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1295 ) @ ( c_Message_Omsg_ONonce @ SV906 ) ) ) ) @ ( c_List_Oset @ SV1589 @ 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 @ SV396 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV396 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV906 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1295 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1507 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1295 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1507 ) @ ( c_Message_Omsg_OAgent @ SV396 ) ) ) ) ) ) ) ) @ SV1589 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4580]) ).
thf(4606,plain,
! [SV1629: $i,SV1590: $i,SV1508: $i,SV1296: $i,SV907: $i,SV397: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV397 ) @ ( c_Message_Omsg_OMPair @ SV907 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1296 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1508 ) @ SV1590 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV1629 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV397 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1629 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV397 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV397 ) @ ( c_Message_Omsg_OMPair @ SV907 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1296 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1508 ) @ SV1590 ) ) ) ) ) @ ( c_List_Oset @ SV1629 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4581]) ).
thf(4607,plain,
! [SV398: $i,SV1297: $i,SV1653: $i,SV1630: $i,SV1591: $i,SV1509: $i,SV908: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV908 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1509 @ SV1591 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1591 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1630 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1653 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1297 ) @ SV398 ) ) ) ) ) @ ( c_List_Oset @ SV908 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1297 @ ( 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 @ SV398 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV908 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4582]) ).
thf(4608,plain,
! [SV1511: $i,SV1299: $i,SV1654: $i,SV911: $i,SV1592: $i,SV401: $i,SV1631: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1631 @ SV401 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV401 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1592 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV911 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1654 ) @ SV1299 ) ) ) ) ) @ ( c_List_Oset @ SV1511 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( ( SV401 = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_in @ SV1511 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV401 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV401 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV911 ) @ ( c_Message_Omsg_ONonce @ SV1592 ) ) ) ) @ ( c_List_Oset @ SV1511 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV401 @ SV911 @ SV1299 ) @ SV1511 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4583]) ).
thf(4609,plain,
! [SV1512: $i,SV1672: $i,SV1593: $i,SV1665: $i,SV1300: $i,SV912: $i,SV1655: $i,SV402: $i,SV1632: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1632 @ SV402 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV402 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1655 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV912 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1300 ) @ SV1665 ) ) ) ) ) @ ( c_List_Oset @ SV1593 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1672 @ SV402 @ ( c_Message_Omsg_OCrypt @ SV1300 @ ( c_Message_Omsg_ONonce @ SV1512 ) ) ) @ ( c_List_Oset @ SV1593 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1300 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV1593 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV402 @ SV912 @ ( c_Message_Omsg_OCrypt @ SV1300 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1512 ) @ ( c_Message_Omsg_ONonce @ SV1512 ) ) ) ) @ SV1593 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4584]) ).
thf(4610,plain,
! [SV913: $i,SV403: $i,SV1633: $i,SV1594: $i,SV1513: $i,SV1301: $i] :
( ( ( hBOOL @ ( c_in @ SV1301 @ c_Message_OsymKeys @ tc_nat ) )
= $false )
| ( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1513 ) @ ( c_Event_Oused @ SV1594 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1594 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1633 @ SV403 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV403 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1301 ) @ ( c_Message_Omsg_OAgent @ SV913 ) ) ) ) @ ( c_List_Oset @ SV1594 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV403 @ SV913 @ ( c_Message_Omsg_OCrypt @ SV1301 @ ( c_Message_Omsg_ONonce @ SV1513 ) ) ) @ SV1594 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4585]) ).
thf(4611,plain,
! [SV914: $i,SV1302: $i,SV404: $i,SV1634: $i,SV1595: $i,SV1514: $i] :
( ( ( hBOOL @ ( c_in @ SV1514 @ c_Message_OsymKeys @ tc_nat ) )
= $false )
| ( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1514 ) @ ( c_Event_Oused @ SV1595 ) @ tc_Message_Omsg ) )
| ~ ( hBOOL @ ( c_in @ SV1595 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1634 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV404 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1302 ) @ ( c_Message_Omsg_ONonce @ SV914 ) ) ) ) @ ( c_List_Oset @ SV1595 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV404 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV404 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV914 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1302 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1514 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1302 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1514 ) @ ( c_Message_Omsg_OAgent @ SV404 ) ) ) ) ) ) ) ) @ SV1595 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4586]) ).
thf(4612,plain,
! [SV1314: $i,SV1657: $i,SV1636: $i,SV1597: $i,SV1519: $i,SV424: $i,SV929: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV929 @ ( c_Message_Omsg_OCrypt @ SV424 @ ( c_Message_Omsg_OMPair @ SV1519 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1597 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1636 ) @ SV1657 ) ) ) ) ) @ ( c_List_Oset @ SV1314 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV1314 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( SV424
= ( hAPP @ c_Public_OshrK @ SV929 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4588]) ).
thf(4613,plain,
! [SV1677: $i,SV1673: $i,SV1667: $i,SV1658: $i,SV1637: $i,SV1598: $i,SV1521: $i,SV1318: $i,SV934: $i,SV429: $i] :
( ( ( SV429 = SV934 )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1318 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV934 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV934 ) @ ( c_Message_Omsg_OMPair @ SV1521 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1598 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1637 ) @ SV1658 ) ) ) ) ) @ ( c_List_Oset @ SV1318 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV429 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV429 ) @ ( c_Message_Omsg_OMPair @ SV1667 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1673 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1637 ) @ SV1677 ) ) ) ) ) @ ( c_List_Oset @ SV1318 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4589]) ).
thf(4614,plain,
! [SV1678: $i,SV1674: $i,SV1668: $i,SV1659: $i,SV1638: $i,SV1599: $i,SV1522: $i,SV1319: $i,SV935: $i,SV430: $i] :
( ( ( SV430 = SV935 )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1319 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1522 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1522 ) @ ( c_Message_Omsg_OMPair @ SV935 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1599 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1638 ) @ SV1659 ) ) ) ) ) @ ( c_List_Oset @ SV1319 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1668 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1668 ) @ ( c_Message_Omsg_OMPair @ SV430 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1674 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1638 ) @ SV1678 ) ) ) ) ) @ ( c_List_Oset @ SV1319 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4590]) ).
thf(4615,plain,
! [SV1679: $i,SV1675: $i,SV1669: $i,SV1660: $i,SV1639: $i,SV1600: $i,SV1523: $i,SV1320: $i,SV936: $i,SV431: $i] :
( ( ( SV431 = SV936 )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1320 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1523 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1523 ) @ ( c_Message_Omsg_OMPair @ SV1600 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV936 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1639 ) @ SV1660 ) ) ) ) ) @ ( c_List_Oset @ SV1320 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1669 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1669 ) @ ( c_Message_Omsg_OMPair @ SV1675 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV431 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1639 ) @ SV1679 ) ) ) ) ) @ ( c_List_Oset @ SV1320 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4591]) ).
thf(4616,plain,
! [SV1680: $i,SV1676: $i,SV1670: $i,SV1661: $i,SV1640: $i,SV1601: $i,SV1524: $i,SV1321: $i,SV937: $i,SV432: $i] :
( ( ( SV432 = SV937 )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1321 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1524 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1524 ) @ ( c_Message_Omsg_OMPair @ SV1601 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1640 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1661 ) @ SV937 ) ) ) ) ) @ ( c_List_Oset @ SV1321 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1670 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1670 ) @ ( c_Message_Omsg_OMPair @ SV1676 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1680 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1661 ) @ SV432 ) ) ) ) ) @ ( c_List_Oset @ SV1321 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4592]) ).
thf(4617,plain,
! [SV439: $i,SV1527: $i,SV1326: $i,SV1662: $i,SV1603: $i,SV1642: $i,SV944: $i] :
( ( ( hBOOL @ ( c_in @ SV944 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1642 @ SV1603 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1603 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1662 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1326 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1527 ) @ SV439 ) ) ) ) ) @ ( c_List_Oset @ SV944 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( SV439
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1326 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1527 ) @ ( c_Message_Omsg_OAgent @ SV1603 ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV439 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV944 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4593]) ).
thf(4618,plain,
! [SV1604: $i,SV440: $i,SV1327: $i,SV945: $i,SV1663: $i,SV1643: $i,SV1528: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1528 @ ( c_Message_Omsg_OCrypt @ SV1643 @ ( c_Message_Omsg_OMPair @ SV1663 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV945 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1327 ) @ SV440 ) ) ) ) ) @ ( c_List_Oset @ SV1604 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV1604 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( SV440
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV945 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1327 ) @ ( c_Message_Omsg_OAgent @ SV1528 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4594]) ).
thf(4619,plain,
! [SV1647: $i,SV1618: $i,SV816: $i,SV302: $i,SV1569: $i,SV1467: $i,SV1228: $i] :
( ( ( hBOOL @ ( c_in @ SV1228 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ SV1467 @ c_Event_Obad @ tc_Message_Oagent ) )
| ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SV1569 @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1 @ SV302 @ SV1569 @ SV816 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV302 ) ) ) ) @ ( c_List_Oset @ SV816 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1467 @ ( c_Message_Omsg_OCrypt @ SV1618 @ ( c_Message_Omsg_OMPair @ SV1569 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1228 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV302 ) @ SV1647 ) ) ) ) ) @ ( c_List_Oset @ SV816 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV816 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV302 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV816 ) ) @ tc_Message_Omsg ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4595]) ).
thf(4620,plain,
! [SV817: $i,SV303: $i,SV1468: $i,SV1229: $i,SV1570: $i] :
( ( ( hBOOL @ ( c_in @ SV1570 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1570 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1570 ) @ ( c_Message_Omsg_OMPair @ SV1229 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1468 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1468 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) @ ( c_Message_Omsg_OAgent @ SV1570 ) ) ) ) ) ) ) ) @ ( c_List_Oset @ SV817 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1468 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV817 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SV1229 @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1 @ SV303 @ SV1229 @ SV817 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) ) ) ) @ ( c_List_Oset @ SV817 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV817 ) ) @ tc_Message_Omsg ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4596]) ).
thf(4621,plain,
! [SV1648: $i,SV306: $i,SV1469: $i,SV820: $i,SV1231: $i,SV1571: $i,SV1619: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1619 @ SV1571 @ ( c_Message_Omsg_OCrypt @ SV1231 @ ( c_Message_Omsg_ONonce @ SV820 ) ) ) @ ( c_List_Oset @ SV1469 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1469 ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1571 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1571 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV306 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1619 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1231 ) @ SV1648 ) ) ) ) ) @ ( c_List_Oset @ SV1469 @ 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 @ SV306 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV820 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV1231 ) ) ) ) @ SV1469 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4597]) ).
thf(4622,plain,
! [SV822: $i,SV1620: $i,SV308: $i,SV1572: $i,SV1471: $i,SV1233: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1233 ) @ ( c_Message_Omsg_OMPair @ SV1471 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1572 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV308 ) @ SV1620 ) ) ) ) @ ( c_Message_Oparts @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV822 ) ) @ tc_Message_Omsg ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV1233 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV822 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV308 @ ( 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)],[4598]) ).
thf(4623,plain,
! [SV1500: $i,SV1287: $i,SV1649: $i,SV898: $i,SV1583: $i,SV388: $i,SV1622: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1622 @ SV388 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV388 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1583 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV898 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1649 ) @ SV1287 ) ) ) ) ) @ ( c_List_Oset @ SV1500 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( ( SV388 = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1500 ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV388 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV388 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV898 ) @ ( c_Message_Omsg_ONonce @ SV1583 ) ) ) ) @ ( c_List_Oset @ SV1500 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV388 @ SV898 @ SV1287 ) @ SV1500 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4599]) ).
thf(4624,plain,
! [SV1503: $i,SV1671: $i,SV1585: $i,SV1664: $i,SV1291: $i,SV902: $i,SV1650: $i,SV392: $i,SV1624: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1624 @ SV392 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV392 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1650 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV902 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1291 ) @ SV1664 ) ) ) ) ) @ ( c_List_Oset @ SV1585 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1671 @ SV392 @ ( c_Message_Omsg_OCrypt @ SV1291 @ ( c_Message_Omsg_ONonce @ SV1503 ) ) ) @ ( c_List_Oset @ SV1585 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1291 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1585 ) ) )
= $true )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV392 @ SV902 @ ( c_Message_Omsg_OCrypt @ SV1291 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1503 ) @ ( c_Message_Omsg_ONonce @ SV1503 ) ) ) ) @ SV1585 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4601]) ).
thf(4625,plain,
! [SV903: $i,SV1651: $i,SV393: $i,SV1625: $i,SV1586: $i,SV1504: $i,SV1292: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1292 @ ( c_Message_Omsg_OCrypt @ SV1504 @ ( c_Message_Omsg_OMPair @ SV1586 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1625 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV393 ) @ SV1651 ) ) ) ) ) @ ( c_List_Oset @ SV903 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV903 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV393 @ ( 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)],[4602]) ).
thf(4626,plain,
! [SV904: $i,SV394: $i,SV1626: $i,SV1293: $i,SV1587: $i,SV1505: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1505 ) @ ( c_Event_Oused @ SV1587 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1587 ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1293 @ c_Message_OsymKeys @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1626 @ SV394 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV394 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1293 ) @ ( c_Message_Omsg_OAgent @ SV904 ) ) ) ) @ ( c_List_Oset @ SV1587 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV394 @ SV904 @ ( c_Message_Omsg_OCrypt @ SV1293 @ ( c_Message_Omsg_ONonce @ SV1505 ) ) ) @ SV1587 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4603]) ).
thf(4627,plain,
! [SV1652: $i,SV395: $i,SV1506: $i,SV905: $i,SV1294: $i,SV1588: $i,SV1627: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1627 @ SV1588 @ ( c_Message_Omsg_OCrypt @ SV1294 @ ( c_Message_Omsg_ONonce @ SV905 ) ) ) @ ( c_List_Oset @ SV1506 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV1506 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1588 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1588 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV395 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1627 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1294 ) @ SV1652 ) ) ) ) ) @ ( c_List_Oset @ SV1506 @ 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 @ SV395 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV905 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV1294 ) ) ) ) @ SV1506 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4604]) ).
thf(4628,plain,
! [SV906: $i,SV1295: $i,SV396: $i,SV1628: $i,SV1589: $i,SV1507: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1507 ) @ ( c_Event_Oused @ SV1589 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1589 ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1507 @ c_Message_OsymKeys @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1628 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV396 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1295 ) @ ( c_Message_Omsg_ONonce @ SV906 ) ) ) ) @ ( c_List_Oset @ SV1589 @ 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 @ SV396 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV396 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV906 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1295 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1507 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1295 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1507 ) @ ( c_Message_Omsg_OAgent @ SV396 ) ) ) ) ) ) ) ) @ SV1589 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4605]) ).
thf(4629,plain,
! [SV398: $i,SV1297: $i,SV1653: $i,SV1630: $i,SV1591: $i,SV1509: $i,SV908: $i] :
( ( ( hBOOL @ ( c_in @ SV908 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1509 @ SV1591 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1591 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1630 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1653 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1297 ) @ SV398 ) ) ) ) ) @ ( c_List_Oset @ SV908 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1297 @ ( 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 @ SV398 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV908 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4607]) ).
thf(4630,plain,
! [SV1511: $i,SV1299: $i,SV1654: $i,SV911: $i,SV1592: $i,SV401: $i,SV1631: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1631 @ SV401 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV401 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1592 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV911 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1654 ) @ SV1299 ) ) ) ) ) @ ( c_List_Oset @ SV1511 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( ( SV401 = c_Message_Oagent_OServer )
| ~ ( hBOOL @ ( c_in @ SV1511 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV401 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV401 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV911 ) @ ( c_Message_Omsg_ONonce @ SV1592 ) ) ) ) @ ( c_List_Oset @ SV1511 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV401 @ SV911 @ SV1299 ) @ SV1511 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4608]) ).
thf(4631,plain,
! [SV1512: $i,SV1672: $i,SV1593: $i,SV1665: $i,SV1300: $i,SV912: $i,SV1655: $i,SV402: $i,SV1632: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1632 @ SV402 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV402 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1655 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV912 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1300 ) @ SV1665 ) ) ) ) ) @ ( c_List_Oset @ SV1593 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1672 @ SV402 @ ( c_Message_Omsg_OCrypt @ SV1300 @ ( c_Message_Omsg_ONonce @ SV1512 ) ) ) @ ( c_List_Oset @ SV1593 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ SV1300 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV1593 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV402 @ SV912 @ ( c_Message_Omsg_OCrypt @ SV1300 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1512 ) @ ( c_Message_Omsg_ONonce @ SV1512 ) ) ) ) @ SV1593 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4609]) ).
thf(4632,plain,
! [SV913: $i,SV403: $i,SV1633: $i,SV1301: $i,SV1594: $i,SV1513: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1513 ) @ ( c_Event_Oused @ SV1594 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1594 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1301 @ c_Message_OsymKeys @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1633 @ SV403 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV403 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1301 ) @ ( c_Message_Omsg_OAgent @ SV913 ) ) ) ) @ ( c_List_Oset @ SV1594 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV403 @ SV913 @ ( c_Message_Omsg_OCrypt @ SV1301 @ ( c_Message_Omsg_ONonce @ SV1513 ) ) ) @ SV1594 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4610]) ).
thf(4633,plain,
! [SV914: $i,SV1302: $i,SV404: $i,SV1634: $i,SV1595: $i,SV1514: $i] :
( ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1514 ) @ ( c_Event_Oused @ SV1595 ) @ tc_Message_Omsg ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1595 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1514 @ c_Message_OsymKeys @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1634 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV404 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1302 ) @ ( c_Message_Omsg_ONonce @ SV914 ) ) ) ) @ ( c_List_Oset @ SV1595 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV404 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV404 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV914 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1302 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1514 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1302 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1514 ) @ ( c_Message_Omsg_OAgent @ SV404 ) ) ) ) ) ) ) ) @ SV1595 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4611]) ).
thf(4634,plain,
! [SV1677: $i,SV1673: $i,SV1667: $i,SV429: $i,SV1658: $i,SV1637: $i,SV1598: $i,SV1521: $i,SV934: $i,SV1318: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV1318 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV934 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV934 ) @ ( c_Message_Omsg_OMPair @ SV1521 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1598 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1637 ) @ SV1658 ) ) ) ) ) @ ( c_List_Oset @ SV1318 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV429 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV429 ) @ ( c_Message_Omsg_OMPair @ SV1667 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1673 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1637 ) @ SV1677 ) ) ) ) ) @ ( c_List_Oset @ SV1318 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( SV429 = SV934 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4613]) ).
thf(4635,plain,
! [SV1678: $i,SV1674: $i,SV430: $i,SV1668: $i,SV1659: $i,SV1638: $i,SV1599: $i,SV935: $i,SV1522: $i,SV1319: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV1319 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1522 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1522 ) @ ( c_Message_Omsg_OMPair @ SV935 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1599 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1638 ) @ SV1659 ) ) ) ) ) @ ( c_List_Oset @ SV1319 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1668 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1668 ) @ ( c_Message_Omsg_OMPair @ SV430 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1674 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1638 ) @ SV1678 ) ) ) ) ) @ ( c_List_Oset @ SV1319 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( SV430 = SV935 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4614]) ).
thf(4636,plain,
! [SV1679: $i,SV431: $i,SV1675: $i,SV1669: $i,SV1660: $i,SV1639: $i,SV936: $i,SV1600: $i,SV1523: $i,SV1320: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV1320 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1523 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1523 ) @ ( c_Message_Omsg_OMPair @ SV1600 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV936 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1639 ) @ SV1660 ) ) ) ) ) @ ( c_List_Oset @ SV1320 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1669 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1669 ) @ ( c_Message_Omsg_OMPair @ SV1675 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV431 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1639 ) @ SV1679 ) ) ) ) ) @ ( c_List_Oset @ SV1320 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( SV431 = SV936 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4615]) ).
thf(4637,plain,
! [SV432: $i,SV1680: $i,SV1676: $i,SV1670: $i,SV937: $i,SV1661: $i,SV1640: $i,SV1601: $i,SV1524: $i,SV1321: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV1321 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1524 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1524 ) @ ( c_Message_Omsg_OMPair @ SV1601 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1640 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1661 ) @ SV937 ) ) ) ) ) @ ( c_List_Oset @ SV1321 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1670 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1670 ) @ ( c_Message_Omsg_OMPair @ SV1676 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1680 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1661 ) @ SV432 ) ) ) ) ) @ ( c_List_Oset @ SV1321 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( SV432 = SV937 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4616]) ).
thf(4638,plain,
! [SV944: $i,SV439: $i,SV1527: $i,SV1326: $i,SV1662: $i,SV1603: $i,SV1642: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1642 @ SV1603 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1603 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1662 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1326 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1527 ) @ SV439 ) ) ) ) ) @ ( c_List_Oset @ SV944 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV944 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( SV439
= ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1326 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1527 ) @ ( c_Message_Omsg_OAgent @ SV1603 ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV439 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV944 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4617]) ).
thf(4639,plain,
! [SV1647: $i,SV1228: $i,SV1618: $i,SV816: $i,SV302: $i,SV1569: $i,SV1467: $i] :
( ( ( hBOOL @ ( c_in @ SV1467 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true )
| ( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SV1569 @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1 @ SV302 @ SV1569 @ SV816 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV302 ) ) ) ) @ ( c_List_Oset @ SV816 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1467 @ ( c_Message_Omsg_OCrypt @ SV1618 @ ( c_Message_Omsg_OMPair @ SV1569 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1228 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV302 ) @ SV1647 ) ) ) ) ) @ ( c_List_Oset @ SV816 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1228 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV816 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV302 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV816 ) ) @ tc_Message_Omsg ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4619]) ).
thf(4640,plain,
! [SV817: $i,SV303: $i,SV1468: $i,SV1229: $i,SV1570: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1570 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1570 ) @ ( c_Message_Omsg_OMPair @ SV1229 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1468 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1468 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) @ ( c_Message_Omsg_OAgent @ SV1570 ) ) ) ) ) ) ) ) @ ( c_List_Oset @ SV817 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV1570 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1468 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV817 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SV1229 @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__Xsecrecy__lemma__1 @ SV303 @ SV1229 @ SV817 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) ) ) ) @ ( c_List_Oset @ SV817 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV303 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV817 ) ) @ tc_Message_Omsg ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4620]) ).
thf(4641,plain,
! [SV1648: $i,SV306: $i,SV820: $i,SV1231: $i,SV1571: $i,SV1619: $i,SV1469: $i] :
( ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1469 ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1619 @ SV1571 @ ( c_Message_Omsg_OCrypt @ SV1231 @ ( c_Message_Omsg_ONonce @ SV820 ) ) ) @ ( c_List_Oset @ SV1469 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1571 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1571 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV306 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1619 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1231 ) @ SV1648 ) ) ) ) ) @ ( c_List_Oset @ SV1469 @ 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 @ SV306 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV820 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV1231 ) ) ) ) @ SV1469 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4621]) ).
thf(4642,plain,
! [SV1287: $i,SV1649: $i,SV898: $i,SV1583: $i,SV1622: $i,SV1500: $i,SV388: $i] :
( ( ( SV388 = c_Message_Oagent_OServer )
= $true )
| ( ( ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1500 ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1622 @ SV388 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV388 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1583 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV898 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1649 ) @ SV1287 ) ) ) ) ) @ ( c_List_Oset @ SV1500 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV388 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV388 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV898 ) @ ( c_Message_Omsg_ONonce @ SV1583 ) ) ) ) @ ( c_List_Oset @ SV1500 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV388 @ SV898 @ SV1287 ) @ SV1500 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4623]) ).
thf(4643,plain,
! [SV1664: $i,SV902: $i,SV1650: $i,SV1624: $i,SV1585: $i,SV1503: $i,SV1291: $i,SV392: $i,SV1671: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1671 @ SV392 @ ( c_Message_Omsg_OCrypt @ SV1291 @ ( c_Message_Omsg_ONonce @ SV1503 ) ) ) @ ( c_List_Oset @ SV1585 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1291 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1585 ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1624 @ SV392 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV392 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1650 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV902 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1291 ) @ SV1664 ) ) ) ) ) @ ( c_List_Oset @ SV1585 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV392 @ SV902 @ ( c_Message_Omsg_OCrypt @ SV1291 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1503 ) @ ( c_Message_Omsg_ONonce @ SV1503 ) ) ) ) @ SV1585 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4624]) ).
thf(4644,plain,
! [SV904: $i,SV394: $i,SV1626: $i,SV1293: $i,SV1505: $i,SV1587: $i] :
( ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1587 ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1505 ) @ ( c_Event_Oused @ SV1587 ) @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1293 @ c_Message_OsymKeys @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1626 @ SV394 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV394 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1293 ) @ ( c_Message_Omsg_OAgent @ SV904 ) ) ) ) @ ( c_List_Oset @ SV1587 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV394 @ SV904 @ ( c_Message_Omsg_OCrypt @ SV1293 @ ( c_Message_Omsg_ONonce @ SV1505 ) ) ) @ SV1587 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4626]) ).
thf(4645,plain,
! [SV1652: $i,SV395: $i,SV905: $i,SV1294: $i,SV1588: $i,SV1627: $i,SV1506: $i] :
( ( ( hBOOL @ ( c_in @ SV1506 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1627 @ SV1588 @ ( c_Message_Omsg_OCrypt @ SV1294 @ ( c_Message_Omsg_ONonce @ SV905 ) ) ) @ ( c_List_Oset @ SV1506 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1588 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1588 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV395 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1627 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1294 ) @ SV1652 ) ) ) ) ) @ ( c_List_Oset @ SV1506 @ 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 @ SV395 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV905 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV1294 ) ) ) ) @ SV1506 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4627]) ).
thf(4646,plain,
! [SV906: $i,SV1295: $i,SV396: $i,SV1628: $i,SV1507: $i,SV1589: $i] :
( ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1589 ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1507 ) @ ( c_Event_Oused @ SV1589 ) @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1507 @ c_Message_OsymKeys @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1628 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV396 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1295 ) @ ( c_Message_Omsg_ONonce @ SV906 ) ) ) ) @ ( c_List_Oset @ SV1589 @ 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 @ SV396 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV396 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV906 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1295 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1507 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1295 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1507 ) @ ( c_Message_Omsg_OAgent @ SV396 ) ) ) ) ) ) ) ) @ SV1589 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4628]) ).
thf(4647,plain,
! [SV908: $i,SV398: $i,SV1297: $i,SV1653: $i,SV1630: $i,SV1591: $i,SV1509: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1509 @ SV1591 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1591 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1630 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1653 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1297 ) @ SV398 ) ) ) ) ) @ ( c_List_Oset @ SV908 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV908 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV1297 @ ( 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 @ SV398 @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV908 ) ) @ tc_Message_Omsg ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4629]) ).
thf(4648,plain,
! [SV1299: $i,SV1654: $i,SV911: $i,SV1592: $i,SV1631: $i,SV1511: $i,SV401: $i] :
( ( ( SV401 = c_Message_Oagent_OServer )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1511 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1631 @ SV401 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV401 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1592 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV911 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1654 ) @ SV1299 ) ) ) ) ) @ ( c_List_Oset @ SV1511 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV401 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV401 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV911 ) @ ( c_Message_Omsg_ONonce @ SV1592 ) ) ) ) @ ( c_List_Oset @ SV1511 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV401 @ SV911 @ SV1299 ) @ SV1511 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4630]) ).
thf(4649,plain,
! [SV1665: $i,SV912: $i,SV1655: $i,SV1632: $i,SV1593: $i,SV1512: $i,SV1300: $i,SV402: $i,SV1672: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1672 @ SV402 @ ( c_Message_Omsg_OCrypt @ SV1300 @ ( c_Message_Omsg_ONonce @ SV1512 ) ) ) @ ( c_List_Oset @ SV1593 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1300 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV1593 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1632 @ SV402 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV402 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1655 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV912 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1300 ) @ SV1665 ) ) ) ) ) @ ( c_List_Oset @ SV1593 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV402 @ SV912 @ ( c_Message_Omsg_OCrypt @ SV1300 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1512 ) @ ( c_Message_Omsg_ONonce @ SV1512 ) ) ) ) @ SV1593 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4631]) ).
thf(4650,plain,
! [SV913: $i,SV403: $i,SV1633: $i,SV1301: $i,SV1513: $i,SV1594: $i] :
( ( ( hBOOL @ ( c_in @ SV1594 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Message_Omsg_ONonce @ SV1513 ) @ ( c_Event_Oused @ SV1594 ) @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1301 @ c_Message_OsymKeys @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1633 @ SV403 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV403 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1301 ) @ ( c_Message_Omsg_OAgent @ SV913 ) ) ) ) @ ( c_List_Oset @ SV1594 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV403 @ SV913 @ ( c_Message_Omsg_OCrypt @ SV1301 @ ( c_Message_Omsg_ONonce @ SV1513 ) ) ) @ SV1594 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4632]) ).
thf(4651,plain,
! [SV914: $i,SV1302: $i,SV404: $i,SV1634: $i,SV1514: $i,SV1595: $i] :
( ( ( hBOOL @ ( c_in @ SV1595 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV1514 ) @ ( c_Event_Oused @ SV1595 ) @ tc_Message_Omsg ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1514 @ c_Message_OsymKeys @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1634 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV404 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1302 ) @ ( c_Message_Omsg_ONonce @ SV914 ) ) ) ) @ ( c_List_Oset @ SV1595 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV404 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV404 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV914 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1302 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1514 ) @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1302 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1514 ) @ ( c_Message_Omsg_OAgent @ SV404 ) ) ) ) ) ) ) ) @ SV1595 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4633]) ).
thf(4652,plain,
! [SV1677: $i,SV1673: $i,SV1667: $i,SV429: $i,SV1658: $i,SV1637: $i,SV1598: $i,SV1521: $i,SV934: $i,SV1318: $i] :
( ( ( hBOOL @ ( c_in @ SV1318 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV934 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV934 ) @ ( c_Message_Omsg_OMPair @ SV1521 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1598 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1637 ) @ SV1658 ) ) ) ) ) @ ( c_List_Oset @ SV1318 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV429 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV429 ) @ ( c_Message_Omsg_OMPair @ SV1667 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1673 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1637 ) @ SV1677 ) ) ) ) ) @ ( c_List_Oset @ SV1318 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( SV429 = SV934 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4634]) ).
thf(4653,plain,
! [SV1678: $i,SV1674: $i,SV430: $i,SV1668: $i,SV1659: $i,SV1638: $i,SV1599: $i,SV935: $i,SV1522: $i,SV1319: $i] :
( ( ( hBOOL @ ( c_in @ SV1319 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1522 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1522 ) @ ( c_Message_Omsg_OMPair @ SV935 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1599 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1638 ) @ SV1659 ) ) ) ) ) @ ( c_List_Oset @ SV1319 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1668 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1668 ) @ ( c_Message_Omsg_OMPair @ SV430 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1674 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1638 ) @ SV1678 ) ) ) ) ) @ ( c_List_Oset @ SV1319 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( SV430 = SV935 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4635]) ).
thf(4654,plain,
! [SV1679: $i,SV431: $i,SV1675: $i,SV1669: $i,SV1660: $i,SV1639: $i,SV936: $i,SV1600: $i,SV1523: $i,SV1320: $i] :
( ( ( hBOOL @ ( c_in @ SV1320 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1523 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1523 ) @ ( c_Message_Omsg_OMPair @ SV1600 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV936 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1639 ) @ SV1660 ) ) ) ) ) @ ( c_List_Oset @ SV1320 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1669 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1669 ) @ ( c_Message_Omsg_OMPair @ SV1675 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV431 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1639 ) @ SV1679 ) ) ) ) ) @ ( c_List_Oset @ SV1320 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( SV431 = SV936 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4636]) ).
thf(4655,plain,
! [SV432: $i,SV1680: $i,SV1676: $i,SV1670: $i,SV937: $i,SV1661: $i,SV1640: $i,SV1601: $i,SV1524: $i,SV1321: $i] :
( ( ( hBOOL @ ( c_in @ SV1321 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1524 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1524 ) @ ( c_Message_Omsg_OMPair @ SV1601 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1640 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1661 ) @ SV937 ) ) ) ) ) @ ( c_List_Oset @ SV1321 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
| ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1670 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1670 ) @ ( c_Message_Omsg_OMPair @ SV1676 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1680 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1661 ) @ SV432 ) ) ) ) ) @ ( c_List_Oset @ SV1321 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( SV432 = SV937 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4637]) ).
thf(4656,plain,
! [SV1647: $i,SV1228: $i,SV1618: $i,SV1467: $i,SV816: $i,SV302: $i,SV1569: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SV1569 @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1 @ SV302 @ SV1569 @ SV816 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV302 ) ) ) ) @ ( c_List_Oset @ SV816 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1467 @ ( c_Message_Omsg_OCrypt @ SV1618 @ ( c_Message_Omsg_OMPair @ SV1569 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1228 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV302 ) @ SV1647 ) ) ) ) ) @ ( c_List_Oset @ SV816 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1467 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1228 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV816 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV302 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV816 ) ) @ tc_Message_Omsg ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[4639]) ).
thf(4657,plain,
! [SV1287: $i,SV1649: $i,SV898: $i,SV1583: $i,SV1622: $i,SV388: $i,SV1500: $i] :
( ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1500 ) )
= $false )
| ( ( SV388 = c_Message_Oagent_OServer )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1622 @ SV388 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV388 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1583 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV898 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1649 ) @ SV1287 ) ) ) ) ) @ ( c_List_Oset @ SV1500 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV388 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV388 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV898 ) @ ( c_Message_Omsg_ONonce @ SV1583 ) ) ) ) @ ( c_List_Oset @ SV1500 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV388 @ SV898 @ SV1287 ) @ SV1500 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4642]) ).
thf(4658,plain,
! [SV1664: $i,SV902: $i,SV1650: $i,SV1624: $i,SV1585: $i,SV1503: $i,SV1291: $i,SV392: $i,SV1671: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1671 @ SV392 @ ( c_Message_Omsg_OCrypt @ SV1291 @ ( c_Message_Omsg_ONonce @ SV1503 ) ) ) @ ( c_List_Oset @ SV1585 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV1291 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1585 ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1624 @ SV392 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV392 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1650 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV902 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1291 ) @ SV1664 ) ) ) ) ) @ ( c_List_Oset @ SV1585 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV392 @ SV902 @ ( c_Message_Omsg_OCrypt @ SV1291 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1503 ) @ ( c_Message_Omsg_ONonce @ SV1503 ) ) ) ) @ SV1585 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4643]) ).
thf(4659,plain,
! [SV1299: $i,SV1654: $i,SV911: $i,SV1592: $i,SV1631: $i,SV401: $i,SV1511: $i] :
( ( ( hBOOL @ ( c_in @ SV1511 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( SV401 = c_Message_Oagent_OServer )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1631 @ SV401 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV401 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1592 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV911 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1654 ) @ SV1299 ) ) ) ) ) @ ( c_List_Oset @ SV1511 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV401 @ c_Message_Oagent_OServer @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV401 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV911 ) @ ( c_Message_Omsg_ONonce @ SV1592 ) ) ) ) @ ( c_List_Oset @ SV1511 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV401 @ SV911 @ SV1299 ) @ SV1511 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4648]) ).
thf(4660,plain,
! [SV1665: $i,SV912: $i,SV1655: $i,SV1632: $i,SV1593: $i,SV1512: $i,SV1300: $i,SV402: $i,SV1672: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1672 @ SV402 @ ( c_Message_Omsg_OCrypt @ SV1300 @ ( c_Message_Omsg_ONonce @ SV1512 ) ) ) @ ( c_List_Oset @ SV1593 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV1300 @ c_Message_OsymKeys @ tc_nat ) )
| ~ ( hBOOL @ ( c_in @ SV1593 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1632 @ SV402 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV402 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1655 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV912 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1300 ) @ SV1665 ) ) ) ) ) @ ( c_List_Oset @ SV1593 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV402 @ SV912 @ ( c_Message_Omsg_OCrypt @ SV1300 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1512 ) @ ( c_Message_Omsg_ONonce @ SV1512 ) ) ) ) @ SV1593 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4649]) ).
thf(4661,plain,
! [SV1677: $i,SV1673: $i,SV1667: $i,SV429: $i,SV1318: $i,SV1658: $i,SV1637: $i,SV1598: $i,SV1521: $i,SV934: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV934 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV934 ) @ ( c_Message_Omsg_OMPair @ SV1521 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1598 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1637 ) @ SV1658 ) ) ) ) ) @ ( c_List_Oset @ SV1318 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV429 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV429 ) @ ( c_Message_Omsg_OMPair @ SV1667 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1673 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1637 ) @ SV1677 ) ) ) ) ) @ ( c_List_Oset @ SV1318 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1318 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( SV429 = SV934 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4652]) ).
thf(4662,plain,
! [SV1678: $i,SV1674: $i,SV430: $i,SV1668: $i,SV1319: $i,SV1659: $i,SV1638: $i,SV1599: $i,SV935: $i,SV1522: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1522 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1522 ) @ ( c_Message_Omsg_OMPair @ SV935 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1599 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1638 ) @ SV1659 ) ) ) ) ) @ ( c_List_Oset @ SV1319 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1668 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1668 ) @ ( c_Message_Omsg_OMPair @ SV430 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1674 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1638 ) @ SV1678 ) ) ) ) ) @ ( c_List_Oset @ SV1319 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1319 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( SV430 = SV935 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4653]) ).
thf(4663,plain,
! [SV1679: $i,SV431: $i,SV1675: $i,SV1669: $i,SV1320: $i,SV1660: $i,SV1639: $i,SV936: $i,SV1600: $i,SV1523: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1523 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1523 ) @ ( c_Message_Omsg_OMPair @ SV1600 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV936 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1639 ) @ SV1660 ) ) ) ) ) @ ( c_List_Oset @ SV1320 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1669 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1669 ) @ ( c_Message_Omsg_OMPair @ SV1675 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV431 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1639 ) @ SV1679 ) ) ) ) ) @ ( c_List_Oset @ SV1320 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1320 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( SV431 = SV936 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4654]) ).
thf(4664,plain,
! [SV432: $i,SV1680: $i,SV1676: $i,SV1670: $i,SV1321: $i,SV937: $i,SV1661: $i,SV1640: $i,SV1601: $i,SV1524: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1524 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1524 ) @ ( c_Message_Omsg_OMPair @ SV1601 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1640 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1661 ) @ SV937 ) ) ) ) ) @ ( c_List_Oset @ SV1321 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1670 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1670 ) @ ( c_Message_Omsg_OMPair @ SV1676 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1680 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1661 ) @ SV432 ) ) ) ) ) @ ( c_List_Oset @ SV1321 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1321 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( SV432 = SV937 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4655]) ).
thf(4665,plain,
! [SV816: $i,SV1647: $i,SV302: $i,SV1228: $i,SV1569: $i,SV1618: $i,SV1467: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1467 @ ( c_Message_Omsg_OCrypt @ SV1618 @ ( c_Message_Omsg_OMPair @ SV1569 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1228 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV302 ) @ SV1647 ) ) ) ) ) @ ( c_List_Oset @ SV816 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_ONotes @ c_Message_Oagent_OSpy @ ( c_Message_Omsg_OMPair @ SV1569 @ ( c_Message_Omsg_OMPair @ ( v_sko__NS__Shared__Mirabelle__XSpy__not__see__encrypted__key__1 @ SV302 @ SV1569 @ SV816 ) @ ( hAPP @ c_Message_Omsg_OKey @ SV302 ) ) ) ) @ ( c_List_Oset @ SV816 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1467 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1228 @ c_Event_Obad @ tc_Message_Oagent ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV816 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( hAPP @ c_Message_Omsg_OKey @ SV302 ) @ ( c_Message_Oanalz @ ( c_Event_Oknows @ c_Message_Oagent_OSpy @ SV816 ) ) @ tc_Message_Omsg ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[4656]) ).
thf(4666,plain,
! [SV1664: $i,SV902: $i,SV1650: $i,SV1624: $i,SV1503: $i,SV392: $i,SV1671: $i,SV1585: $i,SV1291: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV1291 @ c_Message_OsymKeys @ tc_nat ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1585 ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1671 @ SV392 @ ( c_Message_Omsg_OCrypt @ SV1291 @ ( c_Message_Omsg_ONonce @ SV1503 ) ) ) @ ( c_List_Oset @ SV1585 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1624 @ SV392 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV392 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1650 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV902 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1291 ) @ SV1664 ) ) ) ) ) @ ( c_List_Oset @ SV1585 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV392 @ SV902 @ ( c_Message_Omsg_OCrypt @ SV1291 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1503 ) @ ( c_Message_Omsg_ONonce @ SV1503 ) ) ) ) @ SV1585 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4658]) ).
thf(4667,plain,
! [SV1665: $i,SV912: $i,SV1655: $i,SV1632: $i,SV1512: $i,SV402: $i,SV1672: $i,SV1593: $i,SV1300: $i] :
( ( ( ~ ( hBOOL @ ( c_in @ SV1300 @ c_Message_OsymKeys @ tc_nat ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( c_in @ SV1593 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1672 @ SV402 @ ( c_Message_Omsg_OCrypt @ SV1300 @ ( c_Message_Omsg_ONonce @ SV1512 ) ) ) @ ( c_List_Oset @ SV1593 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1632 @ SV402 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV402 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1655 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV912 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1300 ) @ SV1665 ) ) ) ) ) @ ( c_List_Oset @ SV1593 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV402 @ SV912 @ ( c_Message_Omsg_OCrypt @ SV1300 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1512 ) @ ( c_Message_Omsg_ONonce @ SV1512 ) ) ) ) @ SV1593 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[4660]) ).
thf(4668,plain,
! [SV1677: $i,SV1673: $i,SV1667: $i,SV429: $i,SV1318: $i,SV1658: $i,SV1637: $i,SV1598: $i,SV1521: $i,SV934: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV934 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV934 ) @ ( c_Message_Omsg_OMPair @ SV1521 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1598 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1637 ) @ SV1658 ) ) ) ) ) @ ( c_List_Oset @ SV1318 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV429 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV429 ) @ ( c_Message_Omsg_OMPair @ SV1667 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1673 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1637 ) @ SV1677 ) ) ) ) ) @ ( c_List_Oset @ SV1318 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1318 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( SV429 = SV934 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4661]) ).
thf(4669,plain,
! [SV1678: $i,SV1674: $i,SV430: $i,SV1668: $i,SV1319: $i,SV1659: $i,SV1638: $i,SV1599: $i,SV935: $i,SV1522: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1522 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1522 ) @ ( c_Message_Omsg_OMPair @ SV935 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1599 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1638 ) @ SV1659 ) ) ) ) ) @ ( c_List_Oset @ SV1319 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1668 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1668 ) @ ( c_Message_Omsg_OMPair @ SV430 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1674 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1638 ) @ SV1678 ) ) ) ) ) @ ( c_List_Oset @ SV1319 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1319 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( SV430 = SV935 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4662]) ).
thf(4670,plain,
! [SV1679: $i,SV431: $i,SV1675: $i,SV1669: $i,SV1320: $i,SV1660: $i,SV1639: $i,SV936: $i,SV1600: $i,SV1523: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1523 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1523 ) @ ( c_Message_Omsg_OMPair @ SV1600 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV936 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1639 ) @ SV1660 ) ) ) ) ) @ ( c_List_Oset @ SV1320 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1669 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1669 ) @ ( c_Message_Omsg_OMPair @ SV1675 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV431 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1639 ) @ SV1679 ) ) ) ) ) @ ( c_List_Oset @ SV1320 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1320 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( SV431 = SV936 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4663]) ).
thf(4671,plain,
! [SV432: $i,SV1680: $i,SV1676: $i,SV1670: $i,SV1321: $i,SV937: $i,SV1661: $i,SV1640: $i,SV1601: $i,SV1524: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1524 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1524 ) @ ( c_Message_Omsg_OMPair @ SV1601 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1640 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1661 ) @ SV937 ) ) ) ) ) @ ( c_List_Oset @ SV1321 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1670 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1670 ) @ ( c_Message_Omsg_OMPair @ SV1676 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1680 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1661 ) @ SV432 ) ) ) ) ) @ ( c_List_Oset @ SV1321 @ tc_Event_Oevent ) @ tc_Event_Oevent ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ SV1321 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( SV432 = SV937 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4664]) ).
thf(4672,plain,
! [SV1664: $i,SV902: $i,SV1650: $i,SV1624: $i,SV1503: $i,SV392: $i,SV1671: $i,SV1585: $i,SV1291: $i] :
( ( ( hBOOL @ ( c_in @ SV1291 @ c_Message_OsymKeys @ tc_nat ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1585 ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1671 @ SV392 @ ( c_Message_Omsg_OCrypt @ SV1291 @ ( c_Message_Omsg_ONonce @ SV1503 ) ) ) @ ( c_List_Oset @ SV1585 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1624 @ SV392 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV392 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1650 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV902 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1291 ) @ SV1664 ) ) ) ) ) @ ( c_List_Oset @ SV1585 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV392 @ SV902 @ ( c_Message_Omsg_OCrypt @ SV1291 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1503 ) @ ( c_Message_Omsg_ONonce @ SV1503 ) ) ) ) @ SV1585 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4666]) ).
thf(4673,plain,
! [SV1665: $i,SV912: $i,SV1655: $i,SV1632: $i,SV1512: $i,SV402: $i,SV1672: $i,SV1593: $i,SV1300: $i] :
( ( ( hBOOL @ ( c_in @ SV1300 @ c_Message_OsymKeys @ tc_nat ) )
= $false )
| ( ( ~ ( hBOOL @ ( c_in @ SV1593 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) ) )
= $true )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1672 @ SV402 @ ( c_Message_Omsg_OCrypt @ SV1300 @ ( c_Message_Omsg_ONonce @ SV1512 ) ) ) @ ( c_List_Oset @ SV1593 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1632 @ SV402 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV402 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1655 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV912 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1300 ) @ SV1665 ) ) ) ) ) @ ( c_List_Oset @ SV1593 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV402 @ SV912 @ ( c_Message_Omsg_OCrypt @ SV1300 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1512 ) @ ( c_Message_Omsg_ONonce @ SV1512 ) ) ) ) @ SV1593 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4667]) ).
thf(4674,plain,
! [SV1658: $i,SV1598: $i,SV1521: $i,SV934: $i,SV1318: $i,SV1677: $i,SV1637: $i,SV1673: $i,SV1667: $i,SV429: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV429 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV429 ) @ ( c_Message_Omsg_OMPair @ SV1667 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1673 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1637 ) @ SV1677 ) ) ) ) ) @ ( c_List_Oset @ SV1318 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV934 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV934 ) @ ( c_Message_Omsg_OMPair @ SV1521 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1598 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1637 ) @ SV1658 ) ) ) ) ) @ ( c_List_Oset @ SV1318 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV1318 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( SV429 = SV934 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4668]) ).
thf(4675,plain,
! [SV1659: $i,SV1599: $i,SV935: $i,SV1522: $i,SV1319: $i,SV1678: $i,SV1638: $i,SV1674: $i,SV430: $i,SV1668: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1668 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1668 ) @ ( c_Message_Omsg_OMPair @ SV430 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1674 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1638 ) @ SV1678 ) ) ) ) ) @ ( c_List_Oset @ SV1319 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1522 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1522 ) @ ( c_Message_Omsg_OMPair @ SV935 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1599 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1638 ) @ SV1659 ) ) ) ) ) @ ( c_List_Oset @ SV1319 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV1319 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( SV430 = SV935 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4669]) ).
thf(4676,plain,
! [SV1660: $i,SV936: $i,SV1600: $i,SV1523: $i,SV1320: $i,SV1679: $i,SV1639: $i,SV431: $i,SV1675: $i,SV1669: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1669 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1669 ) @ ( c_Message_Omsg_OMPair @ SV1675 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV431 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1639 ) @ SV1679 ) ) ) ) ) @ ( c_List_Oset @ SV1320 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1523 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1523 ) @ ( c_Message_Omsg_OMPair @ SV1600 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV936 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1639 ) @ SV1660 ) ) ) ) ) @ ( c_List_Oset @ SV1320 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV1320 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( SV431 = SV936 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4670]) ).
thf(4677,plain,
! [SV937: $i,SV1640: $i,SV1601: $i,SV1524: $i,SV1321: $i,SV432: $i,SV1661: $i,SV1680: $i,SV1676: $i,SV1670: $i] :
( ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1670 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1670 ) @ ( c_Message_Omsg_OMPair @ SV1676 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1680 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1661 ) @ SV432 ) ) ) ) ) @ ( c_List_Oset @ SV1321 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ c_Message_Oagent_OServer @ SV1524 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV1524 ) @ ( c_Message_Omsg_OMPair @ SV1601 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV1640 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1661 ) @ SV937 ) ) ) ) ) @ ( c_List_Oset @ SV1321 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV1321 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( SV432 = SV937 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4671]) ).
thf(4678,plain,
! [SV1664: $i,SV902: $i,SV1650: $i,SV1624: $i,SV1503: $i,SV392: $i,SV1671: $i,SV1291: $i,SV1585: $i] :
( ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ SV1585 ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV1291 @ c_Message_OsymKeys @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1671 @ SV392 @ ( c_Message_Omsg_OCrypt @ SV1291 @ ( c_Message_Omsg_ONonce @ SV1503 ) ) ) @ ( c_List_Oset @ SV1585 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1624 @ SV392 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV392 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1650 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV902 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1291 ) @ SV1664 ) ) ) ) ) @ ( c_List_Oset @ SV1585 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_NS__Shared__Mirabelle_Ons__sharedp @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV392 @ SV902 @ ( c_Message_Omsg_OCrypt @ SV1291 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1503 ) @ ( c_Message_Omsg_ONonce @ SV1503 ) ) ) ) @ SV1585 @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4672]) ).
thf(4679,plain,
! [SV1665: $i,SV912: $i,SV1655: $i,SV1632: $i,SV1512: $i,SV402: $i,SV1672: $i,SV1300: $i,SV1593: $i] :
( ( ( hBOOL @ ( c_in @ SV1593 @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $false )
| ( ( hBOOL @ ( c_in @ SV1300 @ c_Message_OsymKeys @ tc_nat ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1672 @ SV402 @ ( c_Message_Omsg_OCrypt @ SV1300 @ ( c_Message_Omsg_ONonce @ SV1512 ) ) ) @ ( c_List_Oset @ SV1593 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_Event_Oevent_OSays @ SV1632 @ SV402 @ ( c_Message_Omsg_OCrypt @ ( hAPP @ c_Public_OshrK @ SV402 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1655 ) @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_OAgent @ SV912 ) @ ( c_Message_Omsg_OMPair @ ( hAPP @ c_Message_Omsg_OKey @ SV1300 ) @ SV1665 ) ) ) ) ) @ ( c_List_Oset @ SV1593 @ tc_Event_Oevent ) @ tc_Event_Oevent ) )
= $false )
| ( ( hBOOL @ ( c_in @ ( c_List_Olist_OCons @ ( c_Event_Oevent_OSays @ SV402 @ SV912 @ ( c_Message_Omsg_OCrypt @ SV1300 @ ( c_Message_Omsg_OMPair @ ( c_Message_Omsg_ONonce @ SV1512 ) @ ( c_Message_Omsg_ONonce @ SV1512 ) ) ) ) @ SV1593 @ tc_Event_Oevent ) @ c_NS__Shared__Mirabelle_Ons__shared @ ( tc_List_Olist @ tc_Event_Oevent ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[4673]) ).
thf(4680,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[1185,4679,4678,4677,4676,4675,4674,4665,4659,4657,4651,4650,4647,4646,4645,4644,4641,4640,4638,4625,4622,4618,4612,4606,4600,4587,4573,4572,4571,4566,4565,4564,4563,4562,4561,4560,4559,4550,4537,4533,4532,4531,4529,4524,4521,4519,4518,4516,4515,4513,4512,4508,4507,4506,4505,4504,4503,4502,4501,4500,4497,4485,4474,4473,4472,4464,4463,4462,4461,4456,4454,4449,4448,4444,4443,4442,4441,4440,4439,4438,4432,4428,4427,4422,4421,4420,4416,4415,4413,4412,4403,4394,4383,4382,4381,4380,4371,4370,4363,4362,4361,4360,4359,4358,4357,4356,4355,4353,4347,4346,4345,4344,4343,4342,4340,4339,4338,4337,4336,4332,4329,4327,4326,4325,4324,4321,4318,4310,4309,4308,4304,4302,4301,4300,4299,4292,4291,4290,4289,4288,4287,4286,4284,4279,4277,4275,4270,4269,4267,4264,4263,4262,4261,4260,4258,4257,4255,4254,4251,4245,4241,4240,4238,4223,4218,4217,4216,4215,4202,4201,4186,4185,4180,4174,4173,4172,4171,4170,4168,4163,4149,4145,4140,4139,4137,4136,4133,4131,4130,4129,4119,4118,4113,4112,4108,4106,4105,4096,4095,4094,4093,4089,4084,4083,4082,4079,4068,4067,4065,4064,4058,4050,4049,4048,4047,4042,4041,4037,4036,4033,4032,4023,4017,4016,4015,4014,4013,4012,3992,3991,3973,3960,3944,3943,3939,3934,3925,3924,3923,3920,3917,3916,3915,3912,3910,3909,3906,3905,3893,3883,3872,3871,3870,3858,3857,3852,3848,3847,3846,3845,3842,3841,3838,3837,3829,3828,3827,3825,3824,3823,3813,3811,3810,3806,3805,3803,3800,3799,3793,3791,3790,3789,3787,3783,3782,3777,3776,3775,3773,3770,3769,3765,3762,3756,3755,3752,3750,3748,3746,3744,3738,3737,3736,3733,3732,3731,3730,3729,3728,3727,3726,3725,3724,3723,3722,3721,3716,3709,3703,3700,3699,3663,3661,3660,3655,3645,3644,3643,3633,3632,3631,3630,3629,3628,3627,3626,3625,3624,3622,3615,3614,3597,3584,3580,3578,3577,3576,3575,3573,3572,3571,3564,3561,3559,3551,3550,3549,3548,3547,3542,3540,3539,3538,3530,3529,3507,3502,3501,3497,3496,3495,3489,3488,3484,3483,3480,3479,3472,3454,3451,3450,3448,3447,3446,3443,3442,3440,3439,3438,3437,3436,3429,3428,3427,3426,3425,3424,3423,3418,3416,3415,3412,3409,3360,3343,3342,3335,3329,3327,3326,3263,3255,3251,3242,3241,3228,3212,3199,3195,3191,3183,3182,3181,3172,3170,3168,3159,3156,3150,3149,3146,3144,3143,3141,3139,3138,3122,3117,3115,3113,3112,3109,3106,3105,3100,3099,3098,3085,3055,3054,3035,3026,3025,3023,3018,3015,3014,3011,3000,2999,2990,2989,2987,2986,2980,2972,2970,2933,2909,2894,2889,2860,2853,2839,2838,2832,2770,2769,2765,2757,2743,2668,2666,2663,2662,2659,2658,2657,2655,2654,2653,2625,2624,2605,2603,2601,2600,2591,2590,2581,2575,2570,2569,2551,2550,2549,2543,2541,2540,2539,2522,2521,2520,2470,2462,2460,2455,2447,2446,2443,2420,2412,2408,2359,2331,2296,2295,2281,2279,2278,2255,2218,2207,2200,2188,2086,2070,2059,2052,2033,2021,2020,2019,2018,2015,1978,1960,1959,1924,1920,1910,1907,1903,1901,1870,1869,1868,1772,1771,1770,1769,1768,1767,1766,1765,1764,1763,1762,1761,1760,1759,1758,1757,1756,1623,1466,1442,1378,1362,1344,1326,1325,1248,1195,1194,1193,1192,1191,1190,1188,1187]) ).
thf(4681,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[4680]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV756-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.20 % Computer : n004.cluster.edu
% 0.07/0.20 % Model : x86_64 x86_64
% 0.07/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20 % Memory : 8046.5625MB
% 0.07/0.20 % OS : Linux 6.8.0-71-generic
% 0.07/0.20 % CPULimit : 300
% 0.07/0.20 % WCLimit : 300
% 0.07/0.20 % DateTime : Tue Oct 6 16:43:09 UTC 2026
% 0.07/0.20 % 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
% 139.11/23.42 ....
% 139.11/23.42
% 139.11/23.42 No.of.Axioms: 590
% 139.11/23.42
% 139.11/23.42 Length.of.Defs: 0
% 139.11/23.42
% 139.11/23.42 Contains.Choice.Funs: false
% 139.11/23.42 ..............................................................................................................................................................................
% 139.11/23.42
% 139.11/23.42 ********************************
% 139.11/23.42 * All subproblems solved! *
% 139.11/23.42 ********************************
% 139.11/23.42 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:590,ps:3,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:4680,loop_count:0,foatp_calls:1,translation:fof_full)
% 139.11/23.42
% 139.11/23.42 %**** Beginning of derivation protocol ****
% 139.11/23.42 % SZS output start CNFRefutation
% See solution above
% 139.11/23.48
% 139.11/23.48 %**** End of derivation protocol ****
% 139.11/23.48 %**** no. of clauses in derivation: 4681 ****
% 139.11/23.48 %**** clause counter: 4680 ****
% 139.11/23.48
% 139.11/23.48 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:590,ps:3,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:4680,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------